{
  "schema": "bethe-six-spinon-geometry-precision-comparison-v1",
  "scope": "Geometry feasibility and arithmetic comparison only; 64 draws do not establish sampling or domain convergence",
  "source": "b573fb4bba7d7fee9df6853fb29bc7cb051898da",
  "uni20": "1cb2474eb0a54e13ec7d5f2c1823752020b2425c",
  "cpu": "12th Gen Intel(R) Core(TM) i7-12700KF",
  "compiler": "GNU 13.3.0 Release",
  "workers": 2,
  "timing_scope": "external complete-process CPU and wall",
  "momentum": "1.5707963267948966192313216916397514420985846996875529104874722961539082031431045",
  "command": [
    "bethe-xxx-structure-factor-thermo",
    "--sectors",
    "6",
    "--momentum",
    "1.5707963267948966192313216916397514420985846996875529104874722961539082031431045",
    "--omega",
    "2",
    "--exchange",
    "1",
    "--channel",
    "zz",
    "--six-cutoff",
    "1040",
    "--replicates",
    "4",
    "--samples",
    "16",
    "--seed",
    "7303",
    "--threads",
    "2",
    "--density-guard-bits",
    "256",
    "--density-relative-tolerance",
    "1e-6",
    "--density-absolute-tolerance",
    "0",
    "--density-terms",
    "1040",
    "--density-tail-order",
    "32",
    "--density-seconds",
    "60",
    "--diagnostics",
    "--replicate-output",
    "--format",
    "json",
    "--precision",
    "bits-N"
  ],
  "cases": [
    {
      "geometry_bits": 256,
      "exit_code": 1,
      "wall_seconds": 0.3115949659841135,
      "cpu_seconds": 0.198843,
      "raw_sha256": "e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855",
      "status": "unresolved_geometry",
      "estimates": null,
      "reason": "surface cutoff unresolved; increase geometry precision"
    },
    {
      "geometry_bits": 512,
      "exit_code": 1,
      "wall_seconds": 0.3265468640020117,
      "cpu_seconds": 0.24252299999999996,
      "raw_sha256": "e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855",
      "status": "unresolved_geometry",
      "estimates": null,
      "reason": "surface cutoff unresolved; increase geometry precision"
    },
    {
      "geometry_bits": 1024,
      "exit_code": 1,
      "wall_seconds": 0.4216614229953848,
      "cpu_seconds": 0.3249620000000001,
      "raw_sha256": "e3b0c44298fc1c149afbf4c8996fb92427ae41e4649b934ca495991b7852b855",
      "status": "unresolved_geometry",
      "estimates": null,
      "reason": "surface cutoff unresolved; increase geometry precision"
    },
    {
      "geometry_bits": 1536,
      "exit_code": 0,
      "wall_seconds": 43.9314418869908,
      "cpu_seconds": 78.12336400000001,
      "raw_sha256": "a5f6a1c9267bd2534089f95a8a6873fdf08db028a4fb2c8b154b2045deb9c5a4",
      "status": "complete",
      "points": [
        {
          "omega": "2",
          "s6": "0.058745724634393438406044285604791270832656754120483780602220222981036363622657739769940326123036958664090755260936436161683279526460469017611157314793048819094442261241473365846562370836129609837017997315277101509983594455007711644061436060297464999935160768901066096239405509956958255665903673741713768781423221145660521138472636621971767058115799523049411404401406168107214946729694482091480671313510883649637338982409516793983895457849869423264888098565293732448438225",
          "sampling_se": "0.0587278470537091972598817473973148794089019439417986527344824745670924433537331791132187378584345944430974037604965466203588781948417539729023564524265499167076800860189098368960513736002495434772556640513661507187147434597080080766717565557905335153414866884341375600320440375838848711590428173363175880535742060515729768084270396271008381975735068529250432049857299039060443096147018463677129950063263656583898284423798339441607815570197138527382500111287106555918000966821676646972301790486802485176604005378617375080362253112883433831",
          "sampling_se_reconstruction_allowance": "2.49519069339638215303771385718426697294272255124240137055764910735178252400392761306227034998313436686094958999321089832523092062211681775372708499094974139932786675172487624514213415473892228006805780695449007304721816762067517986207946490913104195728565185151690125507575289269576154901678306199069659217664303575767728859845754307818540372633769453120397192486058130797703342472094744018182392803084326295971397227488659696191635883032223564716800063049481458692153151319081857425532737735098817836932476002737086935934959537355564498E-461",
          "relative_sampling_se": "0.999695678608179522104025270092679861434705735803177124237360963726539261447944723197152026473898300617000425439173884955413872905682994831061525283218974964838156803568965185529750159331422718315915335380772287290114922596916486492729203453445975807107601815064186843085854336424943294246133992653497278942678525702301164363135895282025653543568159077307828072130178295566404439278153986935988294603789433887842137754079773606139961821950364337989468298898776095703297027852369170378056739645277492788491156455447506018832205010194831614",
          "largest_draw_fraction": "0.772409987730646950866723292632572909799954803302068349807838285393742904541444627035309615620382187729458582806731556400514985370741451247684080698364820832263044016318348136658625403905912160243608874260140718792379101605261881270722540775066337169855176989143084219547385419660402886073166376302510936559369003543360763997986103248654812122377633606401073083787677571717178669565992295493619691726724780918621430482989935914858192984708994499985037357471000070685678314663502270478627141450456453548562511902017164505663384966164716009",
          "largest_replicate_fraction": "0.999771747563295855318747524068730899964909125082629480659637694053561976501837910698191565095131043033000497060760569942534442405252458178575110550467784959096631386662823094404665390881999893260908952436230432581041619913931012618320053957843797997030338259771112856947512678140543478204645864236261809172038212286674308593218741877558745920144536864552114918056270818304577119070191707528163081910173610174115101354730329563366159088886747438141517565865488537403468351371915733669824654901243678823132940964058281837268085742548225653",
          "contour_diagnostic": "3.9905909214326551930219401785765734892802767092463494981332064992559194428496790058121894750602066138878541544013222467068372768911910618188182058178672235089271408722358460532715819704225046692380695953638700400727839662105449901138011969704420461938464902528551160693694987681557224252542434943622071004167980368937152440472271080225072711379933314523250988501016706894481909118327380518489209967905247442844999259836609577216580246931976789059363163355654775486e-41",
          "arithmetic_diagnostic": "9.1681292280159818292224281903399506954510097794510210248783903209433833561325180442663531069925626523835600846620637979907925479293335483148232298724138823583635903019118986651856569173219692368448295570650872545349961167369330681924521957964725143048561770554308783459202169995965798983112822167405194227890685720039431500211835936275468500946727779137154841200654809478311137833703061051787936412723246505048890357258075458770635902721350463326195963735119368194e-46",
          "supported_roots": 20,
          "density_attempts": 40,
          "status": "estimated"
        }
      ]
    },
    {
      "geometry_bits": 2048,
      "exit_code": 0,
      "wall_seconds": 52.89469819798251,
      "cpu_seconds": 94.539716,
      "raw_sha256": "29fa0bbb5697c09ad6cd9450dd84ea57dadfa423f6dd2e264f77451cb0b41764",
      "status": "complete",
      "points": [
        {
          "omega": "2",
          "s6": "0.058745724634393438406044285604791270832656754120483780602220222981036363622657739769940326123036958664090755260936436161683279526460469017611157314793048819094442261241473365846562370836129609837017997315277101509983594455007711644061436060297464999935160768901066096239405509956958255665903673741713768781423221145660521138472636621971767058115799523049411404401406168107214946729694482091480671313510883649637338982409516793983895457849869423264888098565293591778258616621182267953137400896828982605017797267357046716196994262802470073712017421031417247563508338580445846513396139840104032171070887018774532765946614820615",
          "sampling_se": "0.058727847053709197259881747397314879408901943941798652734482474567092443353733179113218737858434594443097403760496546620358878194841753972902356452426549916707680086018909836896051373600249543477255664051366150718714743459708008076671756555790533515341486688434137560032044037583884871159042817336317588053574206051572976808427039627100838197573506852925043204985729903906044309614701846367712995006326365658389828442379833944160781557019713852738250011128710514922474957062389082797395630468078240258434302269960134452399428176043889618845540393939766030901946977055624634011876077863593979691791965600434461696108204588537082466218478887779368979432289470529367783637038500875389364482982458153275826259749",
          "sampling_se_reconstruction_allowance": "1.8609982380669923742657471866247798539888654416281913092299637805874700900687642278412006233916681539763583847660064461387176724366465267543801733242038857771759483289254911151845829918597608459034901288334451315471868150621598316089897765607839735521524379124019044461806433411465346501855228016427154327609313194188388861830378257049144963141402092042578331372153411458835457121594753418595049694515602952668035942565172249118593751451045121786330184864181517966296706955395495483411375722844851910986968725062487912395005770688076396073954198778497989954501276451634374958086741896390663431300343246021656326311322463398927471933648181571778657856572149797553854623453943367760599662141962496033947014283E-615",
          "relative_sampling_se": "0.99969567860817952210402527009267986143470573580317712423736096372653926144794472319715202647389830061700042543917388495541387290568299483106152528321897496483815680356896518552975015933142271831591533538077228729011492259691648649272920345344597580710760181506418684308585433642494329424613399265349727894267852570230116436313589528202565354356815907730782807213017829556640443927815398693598829460378943388784213775407977360613996182195036433798946829889877609498912631418554832636903703879207436224371048369958379600849007450360562448428383008416561023872318968536359780578535450679428559317420477562484688103481173572334171449279106244841247764559455190242115563520672567136953476186952271925480887270935",
          "largest_draw_fraction": "0.77240998773064695086672329263257290979995480330206834980783828539374290454144462703530961562038218772945858280673155640051498537074145124768408069836482083226304401631834813665862540390591216024360887426014071879237910160526188127072254077506633716985517698914308421954738541966040288607316637630251093655936900354336076399798610324865481212237763360640107308378767757171717866956599229549361969172672478091862143048298993591485819298470899449998503735747100189012504790062151848071074921802396341235849702174967119563466348211608226555771146086378487838794541645152350002591656791160819257882645263066561411338048157376595291114772133405933552492029120282429789193367894144205319320136871393574986122551574",
          "largest_replicate_fraction": "0.99977174756329585531874752406873089996490912508262948065963769405356197650183791069819156509513104303300049706076056994253444240525245817857511055046778495909663138666282309440466539088199989326090895243623043258104161991393101261832005395784379799703033825977111285694751267814054347820464586423626180917203821228667430859321874187755874592014453686455211491805627081830457711907019170752816308191017361017411510135473032956336615908888674743814151756586548853686778539752824984851304093295272706560418983937895290414191076714856290321588695564690192616232862241885971069358319467627575101186136072080317667821751443547838961026843933095141965408588807797698047663376920723873356546051358133800072350878766",
          "contour_diagnostic": "3.99059092143265519302194017857657348928027670924634949813320649925591944284967900581218947506020661388785415440132224670683727689119106181881820581786722350892714087223584605327158197042250466923806959536387004007278396621054499011380119697044204619384649025285511606936949876815572242525424349436220710041679803689371524404722710802250727113799333145232509885010167068944819091183273805184892099679052474428449992598366095772165802469319767890593631633556554383913091316936000620474937334662177971273365275444275522445375312685025807199321760466319210898444524739295985471714308403567410727157031818084975524223289228e-41",
          "arithmetic_diagnostic": "9.16812922801598182922242819033995069545100977945102102487839032094338335613251804426635310699256265238356008466206379799079254792933354831482322987241388235836359030191189866518565691732196923684482955706508725453499611673693306819245219579647251430485617705543087834592021699959657989831128221674051942278906857200394315002118359362754685009467277791371548412006548094783111378337030610517879364127232465050488903572580754587706359027213504633261959637351184662835857074577715684239314624089242167722047937434150660101466092013669987565876991210675598605829884185433210073492704842483358800009550255327581071395798029e-46",
          "supported_roots": 20,
          "density_attempts": 40,
          "status": "estimated"
        }
      ]
    }
  ],
  "maximum_relative_mean_change_1536_to_2048": "2.3945602933E-459",
  "maximum_relative_replicate_or_max_observation_change_1536_to_2048": "2.3950960985E-459",
  "all_complete_replicate_identities_and_counts_match": true,
  "conclusion": "This R1040 surface is unresolved with 256, 512 or 1024 geometry bits. The 1536-bit and 2048-bit runs pass with fixed 192/256-bit density checks and agree. This does not establish that 1536 bits is the minimum or sufficient for other samples."
}