From d14f787dc0948188f8f5485115d92f3ac1b0688c Mon Sep 17 00:00:00 2001 From: Rohan Arun Date: Tue, 10 Nov 2026 16:26:29 -0500 Subject: [PATCH 1/2] Add exactly priced global output rechart candidate --- .../p104-global-output-rechart/CHANGES.json | 757 ++++++++++++++++++ .../EARLY-RESULT.json | 201 +++++ .../p104-global-output-rechart/INPUTS.json | 158 ++++ research/p104-global-output-rechart/README.md | 27 + .../p104-global-output-rechart/WORD.json.gz | Bin 0 -> 365562 bytes .../p104-global-output-rechart/construct.py | 42 + .../inputs/pr7123.tar | Bin 0 -> 9799680 bytes research/p104-global-output-rechart/source.py | 49 ++ .../verify_early.py | 32 + 9 files changed, 1266 insertions(+) create mode 100644 research/p104-global-output-rechart/CHANGES.json create mode 100644 research/p104-global-output-rechart/EARLY-RESULT.json create mode 100644 research/p104-global-output-rechart/INPUTS.json create mode 100644 research/p104-global-output-rechart/README.md create mode 100644 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"8e04e24bbe153e7f2363976ad3d9a08c42c8c2c41673273babf12b7dd705fac2" + }, + { + "path": "research/p104-recharted-rank8-split/verify_native.py", + "size": 13491, + "sha256": "50338fd2d80fe7f2ec3dfaad651a845d5055df2915e38642cf78e977dc858535" + } + ] +} diff --git a/research/p104-global-output-rechart/README.md b/research/p104-global-output-rechart/README.md new file mode 100644 index 0000000000..3b4f9ddb18 --- /dev/null +++ b/research/p104-global-output-rechart/README.md @@ -0,0 +1,27 @@ +# Conditional candidate κ = 0.003641428753638 + +This output rechart of exact PR7123 improves its complete signed invoice by +0.000000189103454. The early exact arbitrary-input native adjoint, complete +paid/target recount and both directed price engines pass. Full source-specific +physical, integer-grid, precision, ordinary and complete application replay +are pending; this is an early draft, not completed verification or admission. +The five inherited framework assumptions remain. + +`CHANGES.json` and `construct.py` regenerate the whole native from the complete +authenticated PR7123 export. Scalar coefficients and chronological order, +main input/output boundaries and owned inventory remain unchanged. + +```sh +python3.12 -B research/p104-global-output-rechart/verify_early.py +``` + +Credit 1337isnot1337/OpenAI Codex for fresh-helper-boundary alpha expansion; +dillona/OpenAI Codex for PR7123; Rohan Arun's PR7122 rechart and PR7113 caller; +Ali Romman, Jerry Chen/CubeJerry, ToikY, Matarener, DreamingOfClouds, +Douglas Colkitt/#7000 reviewers and all retained source authors and notices. +Rohan Arun with substantial OpenAI Codex assistance; no subagents. Apache-2.0. + +## Open next questions + +- Complete the full source-specific native/application checks and registered replay. +- Independently review the changed helper promises, chart maps and complete cost. diff --git a/research/p104-global-output-rechart/WORD.json.gz b/research/p104-global-output-rechart/WORD.json.gz new file mode 100644 index 0000000000000000000000000000000000000000..beb9a56b48bbf1e10c323db29dd6b793bd4b026d GIT binary patch literal 365562 zcmV)NK)1giiwFP!000026YRZ7uVy`RCiY))eJ_&ppk2fA&O2{x6a=FTmAVVi1WB+B zH2mMq2r`1_Fdn{@Rb3Xkq53{#=DiG(heI$XJ|zF^kH7oVmF!F|xH;lYt)EP#;F!F_wkIIet3S+*) zn6EJAD$tlaYA`cKKA5flyE1ni9e@7&%M2X@{1@fH<=3DR!#@6f=Sd&RXZ<%1#-x8+ zh%k@#wWJ5Fel-k^#J&%Rmf_vqG?RT`|_%HoUerU0PyyJ(K+AlFyi@(Nz`8iRk z{K*R-_xu>}{MEJY ziRe__Q)JR#ke7V^b%7;KDdUF8z6Jj{j(m!k@!I`1Ahxb2tcz9fO(n zha7_sP60av7iWNIr!&B5cV{3|8~!6W0{`BBkONSC`0v&Ucsc;c*uSNn#{K@cUGw~p z;sBt0_wOh8FUoUw0`L#NswaB;rSw0SslP4wHFa$beS3E^jPHjbBjS(|(fP-6NXv4M z<4*#bIbE!Azy7^XM{EIF( zCgU$#h-@zz>rX7er@{Bhz%$lk>i;1lqW^AxocA9xyroShi>Gy6Ih{26MXBD>>z|;6 ze^GJ&&DW2=`$wuCVckDS>|)#wJ%i%goR7 z$GDcr-;A>s&wukbqT|{fQzNA$&L8GCxX$DYcX4)f{>E?`c!DX?@-?jV zMC)X9;j2v#B`|};uOaV;kC1p_482^2KRepUgOq39QB!7Cq5XodVOOTief}E7zR2Ae zef;A1@6hecStH9=zY%7yFriTO7s4vhZ-ll+goYY^oCxsai(o"wkCGv737(*s2~MXV(3q$RnC5qBLeUOenl6 zFd+~FUkGV&Ga_&aX7jJa%|c&Kj|P`3<^7qox{_>V&pv_@pkdniVyk+O%DcpD@A-{) zM@)(IT>M{T$C0eDqrwy_Q?8U%TewlE49h&CH2F+BDr=ALzv^m7!yZ+wcG;?SgO94- zJvpkHtpX)>b8U(A5b9HGQasby(PF~LN>Lj~;Ht`nz#mUa@I}6Hl-LAYVtw3}c(lrt zkZ(K)jT8$zgYRx|I^`$DhterOD?~{j^;112|4K*srT$m?XetG(iaY9A=~Pc^?{p5X zxkvh10Y#Z$O{q$ZwAWdC2{J%f0^>qyuSI)M(z!Uxy8(~&TtL$v>Sbz?{1D4qO#*_d zFhHm;o$w~ax9EQnvQ^&ikH0O4SXy1Y1>nn-mc-19RdKN1lw<>68cLebl&NQt~5!S6>wEj!}9f|&P7|v>!Z7J{zYq}d@qXr z@~%PiX?^n1S6&)+H=W7#198{-Y4G#(N5AHXrS&i6;5ni~`~%NkmONic%4w}!$6(i_h>sXF;#)7Gjlv)K5TgCNW% zi(#kJPlT13zqOji1;_I4^6h7ZJHK{i)}#5GG?UuP(F^7xnTRQGXj4w7IW33(@zc!T z@*{g%V=z;gSHk0$^!x~u_HQcY^tX4;S0%6NIUg-`4u0^!duijAj2wO$qGyI%=D#dX z=kGHH7I8r{~YlJkPSvI#(QqmXWM}mLFAqATx&L zc%?BADNt9+E)_*$g%v-ULA$n8LDflZyS}X?>Y~&qr9LU8JZdY?+Nvs(`R|Mq#jh%J zX<20lg`Na;!WBRbgP$ZlVDkI zOxf9MTp75iFkCy+wUUuO%dUzv6A`2^_eMyJb{Fj@mU0rIQG}_=lE`xpg)^@X%qcD0kFEfDRRnp zYVjJ3P}hU-Z5nfU#usS)s!^%7*0gMv{WJpuNmc^G;^s8!J{q@!f8Nw759-6}Uf9C< zxw#9cPB?fD!4xK zl76a#w5hWKjT%3<5IDKXbZT;XM2EWcM!zS7{NB|y0hpmndjF8)%8U)Z;WFGJpZmd>KZ93gl0vPhuTVrJ-*5MdCl_t z_+#Q`NlFUYY%{*6II8h5*IjD*^Ku2&%1TSOJmi&BKZ%ktEO+Zc-T09;JVh%1dX{qU zLEMQi_M0W2U3;^Fvgx)?S+%@=7ORXGPJR3wwW_s<;({=+RU(Y2H0c=$l{q0%CuA8i zlxa!IZOBkIPJFGx{qe_o)o+Mw*#Z5qb!&U5fnHaHr!F29SugS6zA`Fl8a)~Z)tG4H zQQp7lZbjRfcN9|f;R>WKVhj)7X;WnC&Z&P25J{b?d+z`AX9C4IOHy_F2uqTJo){_F z43e#(z4ww=+Ob*03b2JWE>nAxH?~8D&wZrnr2B5s*RreCXz@I-5P4bSFT4OXKpd!z#N)5M z;u`e3h9xF%#Qxp`<|$5diX$nrdV0g*;kQk!AAfWDG&_xz<(hIj7qs_UmkikJdQI13 zW}Aos|0)n(1-7d%OZ2_UTzsrF;d16u8Im;w9G01W|E@_aZe1RA7R=>HWSoZtj$D0) zmbv=9d?XN4Us$WKw{qi-%g<{1ZY8%UZwZa#J4u~?=91S6>G2gO{dx-KnSJ)U={n`? 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+Fresh-helper-boundary alpha-expansion supplied the nomination. This generator +does not trust its floating score. Rohan Arun/OpenAI Codex, Apache-2.0. +""" +from copy import deepcopy +def span(basis): + out={0} + for x in basis: + assert x not in out;out|={x^v for v in tuple(out)} + return frozenset(out) +def construct(source,changes): + w=deepcopy(source);n=w['public'];spaces=list(map(span,w['frames'])) + main=set(w['live'])|{r+112 for r in w['live']}|set(w['hosted']['X2'])|set(w['hosted']['Y2']) + for r,old,new in changes['initial']: + assert r=n and spaces[to]=n]);cur[r]=to + for i,e in enumerate(source['program']): + op,r=e[:2] + if op=='MOVE': + if r>=n:assert cur[r]==e[2];move(r,e[3]) + elif op=='INIT':assert r>=n and cur[r] is None;program.append(e.copy());cur[r]=e[2] + elif op=='CLEAR':assert r>=n and cur[r]==e[2];program.append(e.copy());cur[r]=None + else: + assert op in ('ADD','COPY','SCALE');roles=e[1:3] if op in ('ADD','COPY') else e[1:2];frame=e[-1] + if i in edits: + old,frame=edits[i];assert old==e[-1] and all(rksDQa60 zy>B|^dPhIV#GaU#=skCSfc*~RCz;=WtvsSoWL1&0DG9ViRsoqS*ZPkC@32-bvhN3H z)A=x)4$g~gR4jk>_W!v2>G%7;(!c!K{+BPqUwM%qhp`(*QOx&V7zO^X&ffl1E|0ib zt+OSMT+Zj~%ilJiyzYCuwq|k7o$vKek?-X5i;H5m{?zr|QIvS2G>Q7d{%Dv4MHnV| zF!tThONMzr7{-1cga_~Sg7%ZU5e1gTs>qi4`N@s$y4l52jW~|B^}hODUvKNb-;e!Y zMK^oQ?XLcX>wnGvh3AGx%OXF|mg{14w9IDDlB3mPI$6K5XxxJTaoCUd{J)(<-{`LE z@c;DDqp$AYIemKn;e+Fg(T#>T7mNRWe7yeU&(^$xnZ8@@LW9@TS~#X2e`XXk4>wPWWg(;si9Q)j%K|4_`F z)qJze3n!n>SDU3)cEJo*&SbXc5y#G>#}6NVj(|I>jmW@qG*5dImaxbt<4Nw!=F5w0 zI{ASa=kxh;G-2K?DlN}80#o%ev*mEIUS`XeN0ZrNv#yA@EEdx&FLdd#^VxiT?f^s2 ziq$_kpwY8peX__V6=@)^nQcDb%rMQLFokkf5P8PqmP`va6_W)^-wapl$$GP9`s4Z1 z$v4ZT=JTAZn7(0cNf|@!)oOFG5Wjf}99|XEBIhB7ZPP+OeRlsTtSd%5V6|dIOEx>k zy0~B+tREQ=vA+3rjDmN>Xjwd;6feI0&G~x0SbcnQayD6?Z-&Q+#mSxJJb&^cTb#gw z;;dL6U2LZ7qan*2txkpnB_~A`Mt%@^@yH#!K@lZEw zbf(fas}w8v@f^V|HO@$oYRV<$)1@#5R7y-~~ zRwu|U6B5Ih#c(s3j#ds2TE1ken-zAT92>!%trqhoGHTQu*3UKM7)5f7gns?-_xDzg z%t5KXFU}`ZR7^T8Iu0e;=1M)x%C;j-buO~iilK%t?HVmvF))=WGUmmZ6&ofooxa2_ zJkMa{$_b+oxsRjxZ~y&YQ$KVx1uMG(E2uO71$^g+eeSI$RH=sdY|`W0)|da!HQmSS~|E+VV(^X@=PX#}yjVgc{yug-N8K2WkMF<*7CK@Y3-m*e zu%kF;6bBa|uLn(`nZB*nb+eE!vPlxhJmb(o%=2?|nPtis=*?<^@5|4N{Fxm^48~8D zip3N!j8iQ#?zHq_Dzcm-&Gkag(8`1rDa(P10g#dFrjwy;NP#}QSkBR}YVCGjSe~cM zd^0ophZK78k?|{)34%b(4KF*J&lL7=Am^F$=Z!EwgxV}iH?V$DOu1?yedGfB1>Bp= zuo4i{FxE=Z*>b*F@TkcMy|)sF?{u&eOXt6SY&WU1uVEK&IhU+m=Ei;*}P&POku=hn*YW9O?0vcP4hX2j3z zvy4i>4}cL)qLv&(@k&uv;#f`0*8Eq<uP~PgU2_3*+ALS* zv*OR2Vg-b>z|S}sU=kMC05CbO`Rq@dGb3Clr5&iqTM?}iUS=sWV_VlH)@hOP*tt_8 zrtxG3B`Q;s!vX;^L%Q5Z_lwDBeZF$ML;o=N#0V1x;`qoQ=vrPKlD>i6dY|38<=KQ^VsFYU4Jf8-?Q~hfx?yUaU#~jS-kb>pwoI5J(I1B>kA>8&ET<=577a z5IiBsQwayQpJ_lsE|$O}J9xyePQU)_?kOf}_RJERAi&(h{Jg`^4@>fE@~iX7LQ~5p zUw9GOu^6X9DsfVC&aELgm0?kr8G zy~nPQ=NF5Dzp%L57PxderJPGmW(M~IDX^^5O^G#vzy4q5`O#nh?GUDjxfmb^@C)N1 zgbnyuQUNI8qs0>Vb7*cc3ct$6I156j_OMQnc*o8?gF_owWMM--uhFX+1^<2oBCAAD zGG>+{!)5e4TRZd7$PxXIohP-D$z|s24Of*cHq%8}TxnhYms;!EaXToA-H7;s$1vM=VlfNWd(G*CnPDRZFD? zY%C|w4ZF>3D?up*1apLwoq&9ejBp)BzzREldTGHFR6e%>xs>a31C*_P8$(v;9&Voy z8odyoF_Rh^w}c<=21uhh_=ZIlOIAFzGpwWbQl6}e)VwN# zaEXke9V`Nwmf)AqCJIfnSux+NkOa7-Wp8Hk5vy~P3INJ{zh-bmh_UA{6s*A1r(9

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