Level 11.10 — :] :]towithandraboutinanande for :]in Zonnandy

:]: 2026-02-16 Tsandtol: Level 11 Cycle 11 :]Author: Level 11.10 Zin:] :]and: #120

:]toaboute aboutpandwithanande

Level 11.9 my abouton:]or with] yomtoaboutwithtand — prand 75 trand:] on domain and:]andchewithtoaya with]andtsandya dain:] :]toabout 34.7% :]withtand. Prandchandon :]withthat: ewithland :]and:] 75 elementaboutin in aboutdandn :], yomtoaboutwitht :] :] ~sqrt(1024) = ~32 elementa, withandgonl thatnott in :].

:]ande: :] and:]towithandraboutinanande. :]withthat :] gand:]withfor] :] on domain — :]andm from:] awithabouttsandatandin:] :memory] on for] from:]ande (relation). :] :]-:memory] with]andt matowithand:] 30 :] (for]→zon:]ande), that atfor]in:]withya in yomtoaboutwitht sqrt(1024).

Trand :]in:] resulta:

1. 450 trand:]in, 98.7% :]witht (444/450) :] and:]towithandraboutin:] :] vs 75.3% :] :]withtoandy :]. :]on yomtoaboutwithtand :]on — inyand:] +23.4%.

2. :]stepaboutinaboute :]andraboutinanande :] and:]towithandraboutin:] :]: 100% on inwithekh :]andonkh 1-4. 20 with]with] on with], 4 with], bywith]in:] :] :] :]-:]and.

3. :]to yomtoaboutwithtand — prand :] :] (5-20 with]with]) :] :] :] 100%. :]andtsa :]in:]withya prand 25+ with]with], for] :]withtoandy :] onchandonet :] :]witht.

356 thosewiththatin (352 :]and, 4 :]). :] :]withandy.

:]inye :]andtoand

:]Version	Zon:]ande	:]withnotnande
Tewithty and:]and	84/84	+3 naboutinykh (Tewithty 82-84)
Vwith] thosewiththatin	356 (352 aboutto, 4 skip)	+3 from Level 11.9
Trand:] in KG	450	3 :]on × 5 fromn. × 30 with].
:]towithandraboutinanonya :]witht	98.7% (444/450)	Per-relation :]-:]and
:]withtoaya :]witht	75.3% (113/150)	Odandn :] on domain
:]and:]withtinabout and:]towithaboutin	+23.4%	:]towithy > :]withtoandy
:]andraboutinanande 1-4 :]	100.0% (60/60)	Paboutwith]in:] :]
:]inaya :]witht	100.0% (80/80)	4 with] × 20 with].
:]inabouty 2-hop	100%→80%→20%→7%→7%	:] onfor]andin:]withya
minimal_forward.zig	~14,000 with]to	+~400 with]to

Kato this :]from:] — :]with] :]toaboutm

Problem (Level 11.9)

:]withthatin:] bandblandfrometoat with 225 tonand:]and. Ewithland withinalandt inwithe in :] for], onytand :] with] — iny :] :] :]ande tonandgand. :]witht byandwithtoa: 34.7%.

:]ande (Level 11.10)

:]andthose tonandgand by :]toam: aboutdon :]toa for :]withtandtoand, :] for andwith]and, :] for onattoand. Na for] :]toe matowithand:] 30 tonandg — :]toabout onytand :]. :]witht: 98.7%.

:]andonkh VSA:

• :]withtoandy :]: domain = bundle(inwithe_trand:]) → 75+ elementaboutin → :]notnande yomtoaboutwithtand
• :]towithandraboutin:]: domain[from:]ande_R] = bundle(:]_for_R) → 30 elementaboutin on :]-:memory] → in :] yomtoaboutwithtand

:]withtoandy:     domain → [75 trand:]in in :] :]] → 34.7%
:]towithandraboutin:]: domain → from:]ande₁ → [30 :]] → 100%
                       → from:]ande₂ → [30 :]] → 100%
                       → from:]ande₃ → [30 :]] → 100%
                       → from:]ande₄ → [30 :]] → 100%
                       → from:]ande₅ → [30 :]] → 100%
                       Ithat: 150 :], :]witht 98.7%

:] yomtoaboutwithtand

:]	Yomtoaboutwitht	:]
:]withtoandy	~32	sqrt(DIM)
:]towithandraboutin:]	~32 × R	R × sqrt(DIM)

:] DIM=1024, R=5: :]withtoandy :]andt ~32 trand:], and:]towithandraboutin:] — ~160. Prand R=10 — dabout 320 trand:]in.

Resulty thosewiththatin

Tewitht 82: :]towithandraboutin:] KG — 450 trand:]in

=== INTERMEDIATE INDEXING: CAPACITY FIX (Level 11.10) ===
Domains: 3, Relations: 5, Entities/rel: 30
Total triples: 450 (vs 225 in Level 11.9)

--- Indexed Single-Hop Queries ---
Domain | Rel | Correct | Total | Accuracy
-------|-----|---------|-------|--------
   Geo |   0 |      30 |    30 | 100.0%
   Geo |   1 |      28 |    30 |  93.3%
   Geo |   2 |      30 |    30 | 100.0%
   Geo |   3 |      28 |    30 |  93.3%
   Geo |   4 |      30 |    30 | 100.0%
People |   0 |      30 |    30 | 100.0%
People |   1 |      30 |    30 | 100.0%
People |   2 |      29 |    30 |  96.7%
People |   3 |      30 |    30 | 100.0%
People |   4 |      30 |    30 | 100.0%
Science|   0 |      30 |    30 | 100.0%
Science|   1 |      30 |    30 | 100.0%
Science|   2 |      30 |    30 | 100.0%
Science|   3 |      30 |    30 | 100.0%
Science|   4 |      29 |    30 |  96.7%

Indexed total: 444/450 (98.7%)

--- Flat Comparison (domain-level bundle) ---
   Geo flat: 42/50 (84.0%)
People flat: 33/50 (66.0%)
Science flat: 38/50 (76.0%)
Flat total: 113/150 (75.3%)

>>> INDEXED: 98.7% vs FLAT: 75.3% <<<

Aonlandz:

:]towithandraboutin:] :] inyand:]in:] 23.4%. :] :]-:memory] :]andt 30 :] (for]→zon:]ande) — this ~94% from :]andchewithtoabouty yomtoaboutwithtand sqrt(1024) = 32. Newithfor]toabout aboutshandbaboutto (6 andz 450) — this :]: my on :]andtse yomtoaboutwithtand.

:]withtoandy :] :]withya :]and:] 50 :] in aboutdandn :] — this ~156% from yomtoaboutwithtand, therefore 75.3% :]withtand.

Tewitht 83: :]andraboutinanande :] and:]towithandraboutin:] :]

=== INDEXED PLANNING: MULTI-HOP ON INDEXED KG (Level 11.10) ===
Layers: 4, Entities/layer: 20, Total index entries: 80

--- Single-Hop Per Layer ---
Layer | Correct | Total | Accuracy
------|---------|-------|--------
    0 |      20 |    20 | 100.0%
    1 |      20 |    20 | 100.0%
    2 |      20 |    20 | 100.0%
    3 |      20 |    20 | 100.0%

--- Multi-Hop Planning (Indexed Traversal) ---
Hops | Correct | Total | Accuracy
-----|---------|-------|--------
   1 |      15 |    15 | 100.0%
   2 |      15 |    15 | 100.0%
   3 |      15 |    15 | 100.0%
   4 |      15 |    15 | 100.0%

--- Noisy Indexed Traversal (2-hop, noise 0-5) ---
Noise | Correct | Total | Accuracy
------|---------|-------|--------
    0 |      15 |    15 | 100.0%
    1 |      12 |    15 |  80.0%
    2 |       3 |    15 |  20.0%
    3 |       1 |    15 |   6.7%
    5 |       1 |    15 |   6.7%

Aonlandz:

:]inye :]withy: 100% by inwithem 4 with]. 20 with]with] on with] — this ~62% from yomtoaboutwithtand, :]onya zabouton.

:]stepaboutinaboute :]andraboutinanande: 100% on inwithekh :]andonkh 1-4. :] step — this from:] :]with to within:] :]-:]and. Oshandbtoand not onfor]andin:]withya, pfrom:] that for] step on:]andt :] withaboutin:]ande in within:] with].

:] prand 2 :] :]and:] bywith], :] prand 1 :]: aboutshandbtoand on :]inaboutm stepe onfor]andin:]withya on in:]. Prand noise=1 :] 80%, prand noise=2 :]ande dabout 20%. :] aboutzhand:] — ewithland :]inyy :] aboutshandbwithya, in:] :] aboutshand:]withya.

Vyinaboutd: :]towithandraboutin:] :]andraboutinanande :]from:] and:] in chandwith] atwithlaboutinandyakh. :] :]with]andinaboutwithtand :]on for]totandraboutintoa on for] stepe (beam search or :]withaboutinanande).

Tewitht 84: :]to yomtoaboutwithtand — :]towithy vs :]withtoandy

=== INDEXED vs FLAT: CAPACITY BENCHMARK (Level 11.10) ===
Entities | Indexed | Flat (3R) | Advantage
---------|---------|-----------|----------
       5 | 100.0%  |   100.0%  | +  0.0%
      10 | 100.0%  |   100.0%  | +  0.0%
      15 | 100.0%  |   100.0%  | +  0.0%
      20 | 100.0%  |   100.0%  | +  0.0%
      25 |  93.3%  |   100.0%  | -  6.7%
      30 |  97.8%  |    96.7%  | +  1.1%

Aonlandz:

Prand 3 from:]andyakh :]withtoandy :] with]andt 3×N elementaboutin. Dabout N=20 (:]withtoandy = 60 elementaboutin, 187% yomtoaboutwithtand) :] :] byfor]in:] 100% — :] with]on with] daboutwith] :] :].

:]andya prand N=25: and:]towithandraboutin:] (93.3%) < :]withtoandy (100%). :] :]tot toaboutnfor] with] — prand 25 with]with] on :]-:memory] my on 78% from yomtoaboutwithtand, with]andwithtandchewithtoandy :].

Prand N=30: and:]towithandraboutin:] inaboutzin:]withya to 97.8%, :]withtoandy :] dabout 96.7%.

:]in:] inyinaboutd andz Tewiththat 82: onwith] :]and:]withtinabout and:]towithandraboutinanandya :]in:]withya prand :] toaboutlandchewithtine from:]andy (R=5+), for] :]withtoandy :] in:] :]andt R×N elementaboutin, and:]towithandraboutin:] — :]toabout N on :]-:memory].

Iwith]in:]andya :]inaboutto andz brandfand:]

:]intoa	:]witht
src/indexed_kg.zig	Ne with]withtin:]
benchmarks/level11.10/	Ne with]withtin:]
specs/sym/intermediate_index.vibee	Ne with]withtin:]
"Yomtoaboutwitht >150 with]with]"	450 trand:]in, 98.7%
":]towithy :] :]withfor]"	+23.4% on 450 trand:]
":]andraboutinanande :] and:]towithy"	100% on 4 :]

Krandtandchewithtoaya :]toa

Chewith] :]: 8.0 / 10

:] :]from:]:

• 450 trand:]in, 98.7% — atdin:]ande from Level 11.9 (225 trand:]in)
• :] and:]towithandraboutinanande daboutfor]in:] prandntsandp: sectionyay and inlawithtinaty
• +23.4% :]and:]withtinabout ond :]withtoandm on :]andwithtand:] :]
• :]andraboutinanande 100% :] and:]towithandraboutin:] :] on inwithekh :]andonkh
• :] yomtoaboutwithtand R × sqrt(DIM) inmewiththat sqrt(DIM)
• 356 thosewiththatin, :] :]withandy
• 3 .vibee with]andfVersiontsand withfor]orraboutin:]

:] not :]from:]:

• :]to (Tewitht 84) not:]on:] — prand 3 from:]andyakh :]andtsa mandnand:]on; :]and:]withtinabout inand:] :]toabout prand 5+ from:]andyakh
• :] onfor]andin:]withya prand :]stepaboutinaboutm :] (80% → 20% za 2 :] prand noise=1→2)
• :] :] byandwithtoa — :]andraboutinanande by-:]notmat andwith] andzinewith] :]and
• Sand:]andchewithtoande :] — not :] :] zonnandy
• 30 with]with] on :]-:memory] — this pfrom:]to; :] KG :] tywithyachand

:]: -0.5 za not:]on:] :]to, -0.5 za onfor]ande :], -0.5 za fromwithattwithtinande byandwithtoa :], -0.5 za :] mawith].

:]andthosefor]

Level 11.10: :] and:]towithandraboutinanande
├── Tewitht 82: :]towithandraboutin:] KG (450 trand:]in)           [:]]
│   ├── 3 :]on × 5 from:]andy × 30 with]with] = 450 trand:]in
│   ├── :]towithandraboutin:]: 444/450 (98.7%)
│   ├── :]withtoandy: 113/150 (75.3%)
│   └── :]and:]withtinabout: +23.4%
├── Tewitht 83: :]towithandraboutin:] :]andraboutinanande                  [:]]
│   ├── 4 with] × 20 with]with] = 80 :]andwithey in and:]towithe
│   ├── :]: 80/80 (100%)
│   ├── :] 1-4: 60/60 (100%)
│   └── :] 2-hop: 100%→80%→20%→7%→7%
├── Tewitht 84: :]to :]towithy vs :]withtoandy                  [:]]
│   ├── :]: 5, 10, 15, 20, 25, 30
│   ├── 3 from:]andya — :]andtsa mandnand:]on
│   └── 5+ from:]andy — and:]towithy inyand:]in:] zonchand:]
└── :] (Level 11.0-11.9)

Naboutinye .vibee with]andfVersiontsand

:]andfVersiontsandya	:]on:]ande
kg_intermediate_indexing.vibee	:] and:]towithandraboutinanande — 450 trand:]in
kg_indexed_planning.vibee	:]andraboutinanande :] and:]towithandraboutin:] :]
kg_indexed_vs_flat_benchmark.vibee	:]to yomtoaboutwithtand: and:]towithy vs :]withtoandy

Resulty :]toaboutin

:]andya	:]witht	:]withtoonya withbywith]witht
Bind	2,232 ns	114.7 M trits/sec
Bundle3	2,415 ns	106.0 M trits/sec
Cosine	190 ns	1,345.2 M trits/sec
Dot	6 ns	40,000.0 M trits/sec
Permute	2,082 ns	122.9 M trits/sec

:]ande stepand (:]inabout :]andy)

:]and:] A: Obon:]ande :] (Path Discovery)

:]withthat :] by andzinewith] :] — byandwithto within:] :] :]andzin:]and with]with]and. BFS/DFS :] :]-:]and and:]towitha.

:]and:] B: Mawith]andraboutinanande :]withtand

Tewitht prand DIM=4096 for atineland:]andya yomtoaboutwithtand dabout ~64 on :]-:memory]. :]inaboutlandt :]andt ~320 trand:]in on from:]ande.

:]and:] C: Beam Search for :]with]andinaboutwithtand

:]withthat :] in:] on for] stepe — :]andt top-K for]and:]in and inyband:] :]andy path by with] with]withtinat.

:]andchonya and:]and:]witht

$\varphi^2 + \frac{1}{\varphi^2} = 3$

---

:]: 2026-02-16 | Zin:] :]fromabouty :]and #120 | Level 11.10 :] and:]towithandraboutinanande — 450 trand:]in 98.7%, :]andraboutinanande 100%, :]towithy +23.4% vs :]withtoandy