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// © 2026 Lutar, Stephen P. — SZL Holdings · ORCID 0009-0001-0110-4173 · Doctrine v11
//
// surfaces/hrm.js — HIERARCHICAL REASONING MODEL (HRM) organ for the
// holographic frontier ring. Renders the two-timescale H-slow / L-fast control
// loop solving a toy mini-Sudoku Latin-square grid: a live 3D grid whose cells
// fill in as the FAST low-level executor (L) propagates local constraints and
// the SLOW high-level planner (H) advances an abstract-plan bar once per tick.
// Live snapshot comes from /api/killinchu/v1/hrm/solve.
//
// >>> HONESTY IS THE POINT OF THIS ORGAN <<<
// Per the ARC Prize independent analysis (arcprize.org/blog/hrm-analysis),
// the H/L hierarchy is NOT the dominant driver of HRM's headline results — a
// parameter-matched single-module Transformer came within ~5pp. So this
// surface renders the H/L result BESIDE a size-matched FLAT single-module
// baseline (same total update budget) and states the caveat plainly in the
// "what this means" copy. It does NOT repeat the paper's stronger framing.
//
// Surface export shape (mirrors mor.js / specdecode.js exactly):
// export default { id, title, endpoints, mount(ctx), unmount() }
// ctx = { stage, container, live, label, THREE, szl3d }
//
// DATA SHOWN (all from live endpoint):
// n, h_ticks, l_steps, clues, empty_start, hierarchical{solved,h_ticks_used,
// l_updates_total,guided_placements,h_plan_trace[],filled_trace[]},
// flat_baseline{solved,refine_rounds,l_updates_total,guided_placements},
// hierarchy_edge{both_solved,hier_updates_total,flat_updates_total,
// l_updates_delta,updates_ratio,verdict}, final_grid[][], solution_grid[][],
// caveat
//
// LEADERS ADOPTED & CITED (clean-room; NOT claimed as SZL's own):
// Hierarchical Reasoning Model (two-timescale H/L architecture modeled here):
// Wang et al. 2025, arXiv:2506.21734 https://arxiv.org/abs/2506.21734
// Official HRM code (reference only): github.com/sapientinc/HRM
// ARC Prize independent analysis (the honesty caveat source):
// https://arcprize.org/blog/hrm-analysis
// ARC Prize analysis code (reference only):
// github.com/arcprize/hierarchical-reasoning-model-analysis
//
// HONESTY LABELS: MODELED (deterministic re-implementation of the H/L control
// loop on a toy grid; NOT the HRM network; NEVER-CLAIMED-AS production). Read
// verbatim from JSON; never upgraded here. The endpoint puts the label at the
// TOP LEVEL of its JSON response (j.label); we read that (with a defensive
// nested payload.label fallback) and display it as-is.
// COLOURS: lattice-blue 0x5b8dee (empty / shallow), violet-blue 0x8a6bff
// (guided / H-planner accent), proof-teal 0x3af4c8 (solved cell / HUD
// accent), greys (degraded / no-live-data). Purple BANNED as UI/background.
// 0 RUNTIME CDN. Vendored three.js via ctx.THREE (page importmap).
// DOCTRINE v11: degrades gracefully (grey) on 404/error; honesty label still
// shown. Nothing here is in the locked-8. Λ stays Conjecture 1. Trust never 100%.
import { createShowcase } from "./_showcase.js";
const ID = "hrm";
const TITLE = "Hierarchical Reasoning Model · H-slow / L-fast (live)";
// Endpoint is hosted on the dedicated killinchu Space (isolated compute), reached
// cross-origin (killinchu returns access-control-allow-origin: https://a-11-oy.com).
// This keeps the HRM organ's rebuilds/faults isolated from the flagship.
const EP = "https://szlholdings-killinchu.hf.space/api/killinchu/v1/hrm/solve?seed=42&n=4&h_ticks=12&l_steps=8";
// data-viz hues — purple BANNED.
const C_EMPTY = 0x5b8dee; // lattice-blue (empty / freshly-considered cell)
const C_GUIDED = 0x8a6bff; // violet-blue (H-planner top-down guided placement)
const C_SOLVED = 0x3af4c8; // proof-teal (filled/solved cell / HUD accent)
const C_DIM = 0x42505d; // grey (degraded / no-live-data)
const C_GRID = 0x1b3a44; // floor / link colour
// grid layout geometry
const MAX_N = 9; // largest grid side we pre-allocate cells for
const CELL = 1.15; // world-units between grid cells
const MAX_CELLS = MAX_N * MAX_N;
let _stage = null, _THREE = null, _ctx = null, _group = null, _show = null;
let _frameReg = false, _polls = [], _el = {}, _badge = null;
// geometry handles
let _floor = null;
let _cellMesh = []; // Array<THREE.Mesh> — one per grid cell (n×n active subset)
let _planBar = null; // THREE.Mesh — H-slow abstract-plan progress bar
let _flatBar = null; // THREE.Mesh — flat-baseline progress bar (honest ablation)
let _marker = null; // THREE.Mesh — HUD "converged" pulsing marker
// live state
const S = {
label: null,
n: null, // grid side
hTicks: null, // h_ticks (budget)
lSteps: null, // l_steps
clues: null, // clues
emptyStart: null, // empty_start
hier: null, // hierarchical{...}
flat: null, // flat_baseline{...}
edge: null, // hierarchy_edge{...}
finalGrid: null, // final_grid[][]
caveat: null, // caveat string
state: "init",
};
// =============================================================================
// mount(ctx)
// =============================================================================
export function mount(ctx) {
_ctx = ctx; _stage = ctx.stage; _THREE = ctx.THREE;
_group = new _THREE.Group();
_stage.scene.add(_group);
_stage.camera.position.set(0, 9, 16);
try { if (_stage.controls && _stage.controls.target) { _stage.controls.target.set(0, 1, 0); _stage.controls.update(); } } catch (_) {}
try { _stage.setBloom(true); } catch (_) {}
_buildFloor();
_buildGrid();
_buildBars();
_buildMarker();
if (!_frameReg) { _stage.onFrame(_onFrame); _frameReg = true; }
_badge = ctx.live.createBadge();
_polls.push(ctx.live.poll(EP, 5000, _onHrm, { badge: _badge, onState: (m) => { S.state = m.state; _paintOverlay(); _updateScene(); } }));
_buildOverlay();
return { id: ID, started: true };
}
// =============================================================================
// builders
// =============================================================================
function _buildFloor() {
const THREE = _THREE;
const grid = new THREE.GridHelper(30, 30, C_GRID, 0x0f2027);
grid.material.opacity = 0.18; grid.material.transparent = true; grid.position.y = -0.01;
_group.add(grid);
_floor = grid;
}
// Pre-allocate MAX_N×MAX_N cell meshes; we position/show only the active n×n
// subset per poll (no geometry churn). Each cell is a small tile that rises &
// recolours as it gets filled by the L-executor / H-planner.
function _buildGrid() {
const THREE = _THREE;
const cellGeo = new THREE.BoxGeometry(CELL * 0.8, 0.5, CELL * 0.8);
for (let i = 0; i < MAX_CELLS; i++) {
const mesh = new THREE.Mesh(
cellGeo,
new THREE.MeshStandardMaterial({ color: C_DIM, emissive: C_DIM, emissiveIntensity: 0.12, transparent: true, opacity: 0.0 }),
);
mesh.visible = false;
_group.add(mesh);
_cellMesh.push(mesh);
}
}
// Two upright progress bars behind the grid: the H-slow abstract-plan bar
// (proof-teal) and the size-matched FLAT baseline bar (violet-blue). Showing
// them side by side is the honest ablation — they end up nearly equal.
function _buildBars() {
const THREE = _THREE;
const barGeo = new THREE.BoxGeometry(0.7, 1.0, 0.7);
_planBar = new THREE.Mesh(
barGeo,
new THREE.MeshStandardMaterial({ color: C_SOLVED, emissive: C_SOLVED, emissiveIntensity: 0.35, transparent: true, opacity: 0.0 }),
);
_planBar.position.set(-1.1, 0.02, -(MAX_N * CELL * 0.5) - 1.6);
_planBar.scale.y = 0.05;
_group.add(_planBar);
_flatBar = new THREE.Mesh(
barGeo,
new THREE.MeshStandardMaterial({ color: C_GUIDED, emissive: C_GUIDED, emissiveIntensity: 0.3, transparent: true, opacity: 0.0 }),
);
_flatBar.position.set(1.1, 0.02, -(MAX_N * CELL * 0.5) - 1.6);
_flatBar.scale.y = 0.05;
_group.add(_flatBar);
}
function _buildMarker() {
const THREE = _THREE;
_marker = new THREE.Mesh(
new THREE.IcosahedronGeometry(0.30, 1),
new THREE.MeshStandardMaterial({ color: C_SOLVED, emissive: C_SOLVED, emissiveIntensity: 0.5, wireframe: true, transparent: true, opacity: 0.85 }),
);
_marker.position.set(0, 4.0, 0);
_group.add(_marker);
}
// =============================================================================
// live data handler
// =============================================================================
function _onHrm(j) {
// read honesty label VERBATIM — never upgrade. Endpoint puts label at the
// TOP LEVEL of the JSON (this module's own response shape), so read j.label;
// fall back to a nested payload.label defensively in case of a wrapper.
const rawLabel = (j && typeof j.label === "string") ? j.label
: (j && j.payload && typeof j.payload.label === "string") ? j.payload.label
: "MODELED";
const src = (j && j.payload && typeof j.payload === "object") ? j.payload : (j || {});
S.label = String(rawLabel).toUpperCase();
S.n = typeof src.n === "number" ? src.n : null;
S.hTicks = typeof src.h_ticks === "number" ? src.h_ticks : null;
S.lSteps = typeof src.l_steps === "number" ? src.l_steps : null;
S.clues = typeof src.clues === "number" ? src.clues : null;
S.emptyStart = typeof src.empty_start === "number" ? src.empty_start : null;
S.hier = (src.hierarchical && typeof src.hierarchical === "object") ? src.hierarchical : null;
S.flat = (src.flat_baseline && typeof src.flat_baseline === "object") ? src.flat_baseline : null;
S.edge = (src.hierarchy_edge && typeof src.hierarchy_edge === "object") ? src.hierarchy_edge : null;
S.finalGrid = Array.isArray(src.final_grid) ? src.final_grid : null;
S.caveat = typeof src.caveat === "string" ? src.caveat : null;
_updateScene();
_paintOverlay();
}
// =============================================================================
// geometry updater — drives the grid + progress bars from live data
// =============================================================================
function _updateScene() {
const live = S.state === "live";
const n = live && S.n ? Math.min(S.n, MAX_N) : 0;
const grid = live && S.finalGrid ? S.finalGrid : null;
// --- solved-grid tiles ---
const x0 = -(n - 1) * CELL * 0.5;
const z0 = -(n - 1) * CELL * 0.5;
for (let i = 0; i < MAX_CELLS; i++) {
const mesh = _cellMesh[i];
if (!live || n <= 0 || i >= n * n) { mesh.visible = false; continue; }
const r = (i / n) | 0;
const c = i % n;
mesh.visible = true;
mesh.position.set(x0 + c * CELL, 0.25, z0 + r * CELL);
const filled = grid && grid[r] && typeof grid[r][c] === "number" && grid[r][c] !== 0;
// solved cells glow proof-teal and rise; unfilled cells stay low lattice-blue
const color = filled ? C_SOLVED : C_EMPTY;
mesh.material.color.setHex(color);
mesh.material.emissive.setHex(color);
mesh.material.emissiveIntensity = filled ? 0.5 : 0.16;
mesh.material.opacity = filled ? 0.95 : 0.4;
const h = filled ? 0.9 : 0.25;
mesh.scale.y = h;
mesh.position.y = h * 0.5;
}
// --- H-slow plan bar (proof-teal): final abstract-plan value (fraction filled) ---
if (_planBar) {
const trace = live && S.hier && Array.isArray(S.hier.h_plan_trace) ? S.hier.h_plan_trace : null;
const plan = trace && trace.length ? trace[trace.length - 1] : (live && S.hier && S.hier.solved ? 1 : 0);
if (live && plan != null) {
_planBar.material.color.setHex(C_SOLVED); _planBar.material.emissive.setHex(C_SOLVED);
_planBar.material.opacity = 0.9;
const h = 0.15 + plan * 3.4; _planBar.scale.y = h; _planBar.position.y = h * 0.5;
} else {
_planBar.material.color.setHex(C_DIM); _planBar.material.emissive.setHex(C_DIM);
_planBar.material.opacity = 0.3; _planBar.scale.y = 0.05; _planBar.position.y = 0.02;
}
}
// --- FLAT baseline bar (violet-blue): honest ablation, ends up near-equal ---
if (_flatBar) {
const flatSolved = live && S.flat && S.flat.solved;
const flatFrac = flatSolved ? 1 : (live && S.emptyStart != null && S.n != null && S.flat
? Math.max(0, Math.min(1, (S.n * S.n - (S.emptyStart - (S.flat.l_updates_total || 0))) / (S.n * S.n)))
: 0);
if (live) {
_flatBar.material.color.setHex(C_GUIDED); _flatBar.material.emissive.setHex(C_GUIDED);
_flatBar.material.opacity = 0.9;
const h = 0.15 + flatFrac * 3.4; _flatBar.scale.y = h; _flatBar.position.y = h * 0.5;
} else {
_flatBar.material.color.setHex(C_DIM); _flatBar.material.emissive.setHex(C_DIM);
_flatBar.material.opacity = 0.3; _flatBar.scale.y = 0.05; _flatBar.position.y = 0.02;
}
}
// --- converged marker ---
if (_marker) {
if (live && S.hier && S.hier.solved) {
_marker.material.color.setHex(C_SOLVED); _marker.material.emissive.setHex(C_SOLVED);
_marker.material.opacity = 0.85; _marker.scale.setScalar(1.0);
} else {
_marker.material.color.setHex(C_DIM); _marker.material.emissive.setHex(C_DIM);
_marker.material.opacity = 0.3; _marker.scale.setScalar(0.7);
}
}
}
// =============================================================================
// per-frame animation
// =============================================================================
function _onFrame() {
const t = performance.now();
if (_group) _group.rotation.y = Math.sin(t * 0.00008) * 0.16;
if (_marker) {
_marker.rotation.y += 0.022;
_marker.rotation.x += 0.011;
const pulse = 1.0 + 0.12 * Math.sin(t * 0.004);
_marker.scale.setScalar((S.hier && S.hier.solved ? 1.0 : 0.7) * pulse);
}
}
// =============================================================================
// overlay
// =============================================================================
function _buildOverlay() {
_show = createShowcase(_ctx, {
id: ID, title: TITLE, accent: "#5b8dee",
badge: _badge,
chips: [{ label: "MODELED", text: "hierarchical reasoning model", name: "hl" }],
legend: ["MODELED"],
description:
'Two interdependent recurrent modules at different timescales solve a mini-Sudoku: a ' +
'<b>fast low-level executor (L)</b> propagates local cell constraints to convergence, and a ' +
'<b>slow high-level planner (H)</b> advances an abstract plan once per tick and nudges the ' +
'executor when it stalls. Cells glow <b>teal</b> as they solve. ' +
'Honesty label <b>MODELED</b> (deterministic control-loop simulation on a toy grid; NOT the HRM network). 0 runtime CDN.',
citations:
"Wang et al. arXiv:2506.21734 (HRM) · github.com/sapientinc/HRM · ARC Prize analysis arcprize.org/blog/hrm-analysis. MODELED · not claimed-as.",
plain: { html: _plainHtml },
});
// explicit honesty-caveat banner (the ARC Prize finding) — always shown
const dist = document.createElement("div");
dist.style.cssText = "font-size:10.5px;color:#c9d6df;line-height:1.5;border:1px solid #26333f;border-radius:7px;padding:7px 9px;background:#0a1117";
dist.innerHTML =
'<b style="color:#3af4c8">Honesty caveat.</b> ' +
'Independent analysis by the <b>ARC Prize team</b> (arcprize.org/blog/hrm-analysis) found the ' +
'H/L <b>hierarchy is NOT the dominant driver</b> of HRM\u2019s headline results \u2014 a ' +
'parameter-matched <i>single-module</i> Transformer came within <b>~5 points</b>. The real ' +
'drivers were an <b>outer refinement loop</b>, heavy <b>data augmentation</b>, and a per-task ' +
'<b>puzzle-embedding</b>. So this organ shows the H/L result <i>beside</i> a size-matched ' +
'<b>flat baseline</b> (violet bar) \u2014 they end up nearly equal. We do <i>not</i> overclaim the hierarchy.';
_show.appendBody(dist);
_el["hrm-grid"] = _show.addField("puzzle (mini-Sudoku n\u00d7n)");
_el["hrm-clues"] = _show.addField("clues / empty at start");
_el["hrm-hsolved"] = _show.addField("H/L hierarchical: solved?");
_el["hrm-hticks"] = _show.addField("H-slow ticks used");
_el["hrm-hupdates"] = _show.addField("H/L total updates \u2014 MODELED");
_el["hrm-fsolved"] = _show.addField("flat baseline (size-matched): solved?");
_el["hrm-fupdates"] = _show.addField("flat total updates \u2014 MODELED");
_el["hrm-ratio"] = _show.addField("updates ratio (hier / flat)");
_el["hrm-verdict"] = _show.addField("honest verdict");
_el["hrm-label"] = _show.addField("honesty label");
_paintOverlay();
}
function _plainHtml() {
const nn = S.n != null ? (S.n + "\u00d7" + S.n) : "small";
const hSolved = S.hier && S.hier.solved ? "yes" : "not yet";
const ratio = S.edge && S.edge.updates_ratio != null ? S.edge.updates_ratio.toFixed(2) : "\u2248 1";
const verdict = S.edge && typeof S.edge.verdict === "string" ? S.edge.verdict : null;
return (
"<b>What this means:</b> A hard puzzle (here a " + nn + " mini-Sudoku) is solved by two " +
"cooperating parts of one model running at different speeds: a <b>fast \u201cworker\u201d</b> that " +
"fills in whatever cells are locally forced, and a <b>slow \u201cplanner\u201d</b> that steps back " +
"once in a while to see the big picture and unstick the worker. It reaches the answer in a " +
"single pass, without writing out its reasoning step-by-step (solved: " + hSolved + "). " +
"<b>But here is the honest part:</b> the independent <b>ARC Prize</b> team re-examined HRM and " +
"found this slow/fast <i>hierarchy is not actually the main reason it works</i> \u2014 an " +
"ordinary <i>single-module</i> model of the same size got within about <b>5 points</b>. The real " +
"gains came from repeatedly <b>refining</b> the answer, lots of <b>data augmentation</b>, and " +
"<b>memorizing each puzzle\u2019s identity</b>. To keep us honest, this view runs a size-matched " +
"<b>flat baseline</b> right next to the hierarchy: they use almost the same effort " +
"(updates ratio \u2248 <b>" + ratio + "</b>)" +
(verdict ? " \u2014 <i>" + verdict + "</i>" : "") + ". " +
"The hierarchy gives a <b>small, real</b> benefit, not the dominant one the paper implies. " +
"This whole view is a <b>MODELED</b> simulation of the control loop on a toy grid, not a run " +
"of the real 27M-parameter HRM network.");
}
function _tok(s) {
if (s === "live") return null;
if (s === "missing") return "NO-LIVE-DATA";
if (s === "degraded") return "DEGRADED";
if (s === "error") return "OFFLINE";
return "\u2026";
}
function _yn(v) { return v === true ? "yes" : v === false ? "no" : "\u2014"; }
function _set(id, v) { if (_el[id]) _el[id].textContent = v; }
function _paintOverlay() {
const t = _tok(S.state);
_set("hrm-grid", t || (S.n != null ? (S.n + "\u00d7" + S.n + " Latin square") : "\u2014"));
_set("hrm-clues", t || ((S.clues != null && S.emptyStart != null) ? (S.clues + " clues / " + S.emptyStart + " empty") : "\u2014"));
_set("hrm-hsolved", t || (S.hier ? _yn(S.hier.solved) : "\u2014"));
_set("hrm-hticks", t || (S.hier && S.hier.h_ticks_used != null ? String(S.hier.h_ticks_used) : "\u2014"));
_set("hrm-hupdates", t || (S.edge && S.edge.hier_updates_total != null ? String(S.edge.hier_updates_total) : "\u2014"));
_set("hrm-fsolved", t || (S.flat ? _yn(S.flat.solved) : "\u2014"));
_set("hrm-fupdates", t || (S.edge && S.edge.flat_updates_total != null ? String(S.edge.flat_updates_total) : "\u2014"));
_set("hrm-ratio", t || (S.edge && S.edge.updates_ratio != null ? S.edge.updates_ratio.toFixed(3) : "\u2014"));
_set("hrm-verdict", t || (S.edge && typeof S.edge.verdict === "string"
? (S.edge.verdict.length > 64 ? S.edge.verdict.slice(0, 61) + "\u2026" : S.edge.verdict)
: "\u2014"));
// honesty label verbatim — never upgraded
_set("hrm-label", t || (S.label || "MODELED"));
if (_show) { _show.setChip("hl", S.label || "MODELED", { text: "hierarchical reasoning model" }); _show.refreshPlain(); }
}
// =============================================================================
// unmount — clean up everything; must not affect other organs
// =============================================================================
export function unmount() {
_polls.forEach((p) => { try { p.stop(); } catch (_) {} }); _polls = [];
try { if (_show) _show.destroy(); } catch (_) {}
try {
if (_group && _stage) {
_group.traverse((o) => {
if (o.geometry && o.geometry.dispose) o.geometry.dispose();
if (o.material) {
const ms = Array.isArray(o.material) ? o.material : [o.material];
ms.forEach((m) => { if (m.dispose) m.dispose(); });
}
});
_stage.scene.remove(_group);
}
} catch (_) {}
_group = _show = null;
_floor = null; _cellMesh = []; _planBar = null; _flatBar = null; _marker = null;
_el = {}; _badge = null; _frameReg = false;
_stage = _THREE = _ctx = null;
S.label = S.n = S.hTicks = S.lSteps = S.clues = S.emptyStart = null;
S.hier = S.flat = S.edge = S.finalGrid = S.caveat = null;
S.state = "init";
}
export default { id: ID, title: TITLE, endpoints: [EP], mount, unmount };
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