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init: model claude-haiku-5-5, Claude Code 2.1.293, permission mode dontAsk

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[tool Bash]
{
  "command": "ls -la [workspace]; echo \"---\"; which node && node -v; echo \"---\"; ls /Applications 2>/dev/null | grep -i -E \"chrom|edge|brave|firefox|safari\" ; echo \"---\"; which chromium chromium-browser google-chrome 2>/dev/null; echo \"exit: $?\"",
  "description": "Check working directory contents and available tools"
}

[tool error]
Exit code 1
total 0
drwx------@ 3 [redacted:username]  wheel  96 Oct  7 21:47 .
drwx------@ 3 [redacted:username]  wheel  96 Oct  7 21:39 ..
drwxr-xr-x@ 3 [redacted:username]  wheel  96 Oct  7 21:47 .claude
---
/opt/homebrew/opt/node@22/bin/node
----- Native stack trace -----

 1: 0x103728190 node::InitializeOncePerProcessInternal(std::__1::vector<std::__1::basic_string<char, std::__1::char_traits<char>, std::__1::allocator<char>>, std::__1::allocator<std::__1::basic_string<char, std::__1::char_traits<char>, std::__1::allocator<char>>>> const&, node::ProcessInitializationFlags::Flags) [/opt/homebrew/Cellar/node@22/22.23.3/lib/libnode.127.dylib]
 2: 0x103728cfc node::Start(int, char**) [/opt/homebrew/Cellar/node@22/22.23.3/lib/libnode.127.dylib]
 3: 0x18daffe80 start [/usr/lib/dyld]
---
Google Chrome.app
Ledger Wallet.app
Safari.app
web-eid-safari.app
---
chromium not found
chromium-browser not found
google-chrome not found
exit: 1
zsh:1: operation not permitted: [redacted:local-path]

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[tool Bash]
{
  "command": "cd \"$TMPDIR\" && /opt/homebrew/opt/node@22/bin/node -e \"console.log('node ok', process.version)\" 2>&1 | head -5; echo \"exit: ${PIPESTATUS[0]}\"; echo \"TMPDIR=$TMPDIR\"",
  "description": "Test whether Node runs inside the sandbox"
}

[tool error]
Exit code 1
(eval):cd:1: operation not permitted: [redacted:local-path]
exit: 
TMPDIR=[redacted:local-path]
zsh:1: operation not permitted: [redacted:local-path]

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[tool Bash]
{
  "command": "/opt/homebrew/opt/node@22/bin/node -e \"console.log('node ok', process.version, process.cwd())\" 2>&1 | head -20",
  "description": "Run Node with a one-line script to check it starts"
}

[tool error]
Exit code 1
node ok v22.23.3 [workspace]
zsh:1: operation not permitted: [redacted:local-path]

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[assistant]
Node and Chrome are both available, so I can test the simulation and render the page. I'll write `index.html` first.

[tool Write]
{
  "file_path": "[workspace]/index.html",
  "content": "<!doctype html>\n<html lang=\"en\">\n<head>\n<meta charset=\"utf-8\">\n<meta name=\"viewport\" content=\"width=device-width, initial-scale=1, viewport-fit=cover\">\n<meta name=\"color-scheme\" content=\"dark\">\n<link rel=\"icon\" href=\"data:,\">\n<title>Lava Lamp</title>\n<style>\n  html, body {\n    margin: 0;\n    height: 100%;\n    overflow: hidden;\n    background: #0c0909;\n  }\n  canvas {\n    position: fixed;\n    inset: 0;\n    width: 100%;\n    height: 100%;\n    display: block;\n  }\n  #power {\n    position: fixed;\n    left: 0;\n    top: 0;\n    width: 62px;\n    height: 32px;\n    margin: 0;\n    padding: 0;\n    border: 1px solid rgba(255, 255, 255, .16);\n    border-radius: 16px;\n    background: linear-gradient(#37373e, #16161a);\n    box-shadow: inset 0 1px 2px rgba(255, 255, 255, .12), 0 3px 8px rgba(0, 0, 0, .6);\n    transform: translate(-50%, -50%) scale(var(--k, 1));\n    cursor: pointer;\n    touch-action: manipulation;\n    -webkit-tap-highlight-color: transparent;\n    transition: box-shadow .3s;\n  }\n  #power[aria-checked=\"true\"] {\n    box-shadow: inset 0 1px 2px rgba(255, 255, 255, .12), 0 0 16px rgba(255, 150, 70, .5);\n  }\n  #power:focus-visible {\n    outline: 2px solid #ffb070;\n    outline-offset: 3px;\n  }\n  #power .knob {\n    position: absolute;\n    top: 3px;\n    left: 3px;\n    width: 24px;\n    height: 24px;\n    border-radius: 50%;\n    background: radial-gradient(circle at 35% 30%, #fff, #c9c9d2 45%, #6b6b76);\n    box-shadow: 0 1px 3px rgba(0, 0, 0, .6);\n    transition: transform .25s cubic-bezier(.3, .7, .3, 1);\n  }\n  #power[aria-checked=\"true\"] .knob {\n    transform: translateX(30px);\n  }\n  #msg {\n    position: fixed;\n    inset: 0;\n    display: grid;\n    place-items: center;\n    margin: 0;\n    padding: 24px;\n    box-sizing: border-box;\n    text-align: center;\n    color: #d9c9b8;\n    font: 16px/1.5 system-ui, sans-serif;\n  }\n  #msg[hidden] {\n    display: none;\n  }\n</style>\n</head>\n<body>\n<canvas id=\"scene\" role=\"img\" aria-label=\"Glass lava lamp on a desk\"></canvas>\n<button id=\"power\" type=\"button\" role=\"switch\" aria-checked=\"true\" aria-label=\"Lamp power\">\n  <span class=\"knob\"></span>\n</button>\n<p id=\"msg\" hidden></p>\n<script>\n'use strict';\n\n// ---- Lamp geometry (world units, y up) ---------------------------------------\n// The fragment shader repeats glassHalf() and these numbers; keep them in sync.\nconst FLOOR = 0.052;   // inside bottom of the bottle\nconst LIQUID = 0.84;   // wax stays below this line\nconst WALL = 0.012;    // glass thickness\n\nfunction glassHalf(y) {\n  if (y < 0.12) {\n    const u = Math.min(1, (0.12 - y) / 0.08);\n    return 0.245 - 0.03 * (1 - Math.sqrt(1 - u * u));\n  }\n  if (y <= 0.72) return 0.245;\n  const t = Math.min(1, (y - 0.72) / 0.2);\n  return 0.245 - 0.135 * (1 - Math.sqrt(1 - t * t));\n}\nconst innerHalf = y => glassHalf(y) - WALL;\n\n// ---- Wax simulation ----------------------------------------------------------\nconst FREE = 0, SLIDING = 1, SPLITTING = 2, BIRTH = 3, GONE = 4;\nconst K = 0.085;       // radius = K * sqrt(mass), before warmth swells it\nconst M_SPLIT = 2.2;   // a warm blob heavier than this pinches in two\nconst M_MERGE = 3.3;   // touching blobs merge only if the result stays this light\nconst MAX_BLOBS = 18;  // the shader reads up to 20\n\nlet blobs = [];\nlet on = true;\nlet light = 0;         // bulb brightness, drives the glow\nlet heat = 0;          // how far the bulb has warmed the wax, drives convection\nlet simTime = 0;\n\nconst clamp01 = v => (v < 0 ? 0 : v > 1 ? 1 : v);\nconst smooth = (a, b, v) => {\n  const t = clamp01((v - a) / (b - a));\n  return t * t * (3 - 2 * t);\n};\nconst radiusOf = b => K * Math.sqrt(b.m) * (0.92 + 0.16 * b.t);\n\nfunction makeBlob(x, y, m, t) {\n  return {\n    x, y, vx: 0, vy: 0, m, t, r: 0,\n    role: FREE, target: null, feed: null, want: 0,\n    incoming: 0, age: 0, cool: 0, sib: null,\n    phase: Math.random() * Math.PI * 2,\n  };\n}\n\nfunction reset() {\n  blobs = [];\n  for (let i = 0; i < 7; i++) {\n    blobs.push(makeBlob(\n      (Math.random() * 2 - 1) * 0.15,\n      FLOOR + 0.1 + Math.random() * 0.5,\n      0.7 + Math.random() * 0.6,\n      0.4 + Math.random() * 0.4));\n  }\n}\n\nfunction keepInside(b) {\n  const lim = Math.max(0, innerHalf(b.y) - b.r);\n  if (b.x > lim) { b.x = lim; b.vx = -0.3 * Math.abs(b.vx); }\n  if (b.x < -lim) { b.x = -lim; b.vx = 0.3 * Math.abs(b.vx); }\n  const lo = FLOOR + b.r, hi = LIQUID - b.r;\n  if (b.y < lo) { b.y = lo; b.vy = 0.2 * Math.abs(b.vy); }\n  if (b.y > hi) { b.y = hi; b.vy = -0.2 * Math.abs(b.vy); }\n}\n\nfunction canJoin(a, b) {\n  if (a.sib === b && (a.cool > 0 || b.cool > 0)) return false;   // just pinched apart\n  if (a.m + b.m > M_MERGE) return false;\n  return !(a.incoming > 0 && b.incoming > 0);\n}\n\nfunction join(a, b) {\n  // The lighter blob slides into the other one; a blob that is already taking wax stays put.\n  let small = a.m < b.m ? a : b;\n  let big = small === a ? b : a;\n  if (a.incoming > 0) { small = b; big = a; }\n  else if (b.incoming > 0) { small = a; big = b; }\n  small.role = SLIDING;\n  small.target = big;\n  big.incoming++;\n  big.age = 0;\n}\n\nfunction bounce(a, b, nx, ny, overlap) {\n  const sum = a.m + b.m;\n  a.x -= nx * overlap * b.m / sum;\n  a.y -= ny * overlap * b.m / sum;\n  b.x += nx * overlap * a.m / sum;\n  b.y += ny * overlap * a.m / sum;\n  const approach = (b.vx - a.vx) * nx + (b.vy - a.vy) * ny;\n  if (approach < 0) {\n    const impulse = -1.3 * approach / (1 / a.m + 1 / b.m);\n    a.vx -= impulse * nx / a.m;\n    a.vy -= impulse * ny / a.m;\n    b.vx += impulse * nx / b.m;\n    b.vy += impulse * ny / b.m;\n  }\n}\n\nfunction split(b) {\n  const dir = Math.random() < 0.5 ? -1 : 1;\n  const c = makeBlob(b.x + dir * b.r * 0.35, b.y, 0, b.t);\n  c.role = BIRTH;\n  c.want = b.m / 2;\n  c.vx = dir * 0.1;\n  b.vx -= dir * 0.05;\n  b.role = SPLITTING;\n  b.feed = c;\n  blobs.push(c);\n}\n\nfunction update(dt) {\n  simTime += dt;\n  light += ((on ? 1 : 0) - light) * Math.min(1, dt * (on ? 6 : 3));\n  heat += ((on ? 1 : 0) - heat) * Math.min(1, dt * (on ? 0.5 : 0.35));\n  const air = 0.05 + 0.25 * (1 - heat);   // cools faster once the bulb is off\n\n  // Temperature and buoyancy\n  for (const b of blobs) {\n    if (b.role === SLIDING || b.role === GONE) continue;\n    b.age += dt;\n    if (b.cool > 0) b.cool -= dt;\n\n    // Heat from the bulb at the bottom; cooling from the air and near the top\n    const heater = Math.exp(-(b.y - FLOOR) / 0.11);\n    const topCool = 0.6 * smooth(0.5, 0.8, b.y);\n    const dT = 0.55 * heat * heater * (1 - b.t) - (air + topCool) * b.t;\n    b.t = clamp01(b.t + dT * dt / Math.sqrt(Math.max(b.m, 0.25)));   // big blobs hold heat longer\n    b.r = radiusOf(b);\n\n    // Warm wax rises, cool wax sinks; drag and a gentle sideways drift\n    const drift = 0.06 * Math.sin(simTime * 0.7 + b.phase);\n    b.vx += (drift - b.vx) * dt;\n    b.vy += (0.3 * (b.t - 0.5) - b.vy) * dt;\n    b.x += b.vx * dt;\n    b.y += b.vy * dt;\n    keepInside(b);\n  }\n\n  // Joining blobs slide together; a pinching parent hands wax to its new twin\n  for (const b of blobs) {\n    if (b.role === SLIDING) {\n      const T = b.target;\n      const dm = Math.min(b.m, (1.2 + b.m) * dt);\n      const total = T.m + dm;\n      T.t = (T.t * T.m + b.t * dm) / total;\n      T.vx = (T.vx * T.m + b.vx * dm) / total;\n      T.vy = (T.vy * T.m + b.vy * dm) / total;\n      T.m = total;\n      T.r = radiusOf(T);\n      b.m -= dm;\n      b.r = radiusOf(b);\n      b.x += (T.x - b.x) * Math.min(1, dt * 6);\n      b.y += (T.y - b.y) * Math.min(1, dt * 6);\n      if (b.m <= 0) { T.incoming--; b.role = GONE; }\n    } else if (b.role === SPLITTING) {\n      const c = b.feed;\n      const dm = Math.min(c.want - c.m, (1.2 + c.want) * dt);\n      c.m += dm;\n      b.m -= dm;\n      c.t = b.t;\n      c.r = radiusOf(c);\n      b.r = radiusOf(b);\n      if (c.m >= c.want - 1e-4) {\n        b.role = c.role = FREE;\n        b.feed = null;\n        b.sib = c;\n        c.sib = b;\n        b.cool = c.cool = 1.2;\n        b.age = c.age = 0;\n      }\n    }\n  }\n\n  // Free blobs that touch merge if the result stays light; otherwise they bounce apart\n  for (let i = 0; i < blobs.length; i++) {\n    for (let j = i + 1; j < blobs.length; j++) {\n      const a = blobs[i], b = blobs[j];\n      if (a.role !== FREE || b.role !== FREE) continue;\n      const dx = b.x - a.x, dy = b.y - a.y;\n      const d = Math.hypot(dx, dy) || 1e-6;\n      const R = a.r + b.r;\n      if (d >= R) continue;\n      if (canJoin(a, b)) join(a, b);\n      else bounce(a, b, dx / d, dy / d, R - d);\n    }\n  }\n\n  // Warm blobs that have grown too heavy pinch in two (only while the bulb is on)\n  if (heat > 0.35) {\n    for (const b of blobs.slice()) {\n      if (blobs.length < MAX_BLOBS && b.role === FREE && b.incoming === 0 && b.m > M_SPLIT && b.age > 1) {\n        split(b);\n      }\n    }\n  }\n\n  blobs = blobs.filter(b => b.role !== GONE);\n}\n\n// ---- Rendering ---------------------------------------------------------------\nconst VS = `#version 300 es\nin vec2 aPos;\nvoid main() { gl_Position = vec4(aPos, 0.0, 1.0); }\n`;\n\nconst FS = `#version 300 es\nprecision highp float;\n\nuniform vec2 uOrigin;     // device pixels of the world origin\nuniform float uScale;     // device pixels per world unit\nuniform float uDesk;      // world height of the wall/desk seam\nuniform float uLight;     // bulb brightness, 0..1\nuniform int uCount;\nuniform vec4 uBlobs[20];  // x, y, radius, temperature\n\nout vec4 fragColor;\n\n// Mirrors glassHalf() in the page\nfloat glassHalf(float y) {\n  if (y < 0.12) {\n    float u = min(1.0, (0.12 - y) / 0.08);\n    return 0.245 - 0.03 * (1.0 - sqrt(1.0 - u * u));\n  }\n  if (y <= 0.72) return 0.245;\n  float t = min(1.0, (y - 0.72) / 0.2);\n  return 0.245 - 0.135 * (1.0 - sqrt(1.0 - t * t));\n}\n\nfloat sq(float x) { return x * x; }\n\n// 1 inside a signed distance d, fading over one device pixel\nfloat cover(float d, float px) { return 1.0 - smoothstep(-px, px, d); }\n\n// Polished metal: a bright band that follows the curve of the bar\nvec3 metal(float u, float nz, float glow) {\n  vec3 c = vec3(0.07, 0.07, 0.085) * (0.4 + 0.6 * nz);\n  c += vec3(0.85, 0.87, 0.95) * exp(-sq((u + 0.42) / 0.12)) * (0.3 + 0.35 * nz);\n  c += vec3(0.5, 0.5, 0.55) * exp(-sq((u - 0.6) / 0.08)) * 0.2;\n  return c + vec3(1.0, 0.55, 0.25) * glow;\n}\n\nvec3 chromeBar(float x, float hw, float glow) {\n  float u = clamp(x / hw, -1.0, 1.0);\n  return metal(u, sqrt(1.0 - u * u), glow);\n}\n\nvoid main() {\n  vec2 p = (gl_FragCoord.xy - uOrigin) / uScale;  // world units, y up\n  float px = 1.0 / uScale;                         // one device pixel, in world units\n\n  // Wall above the desk seam, desk below it\n  float above = p.y - uDesk;\n  vec3 wall = mix(vec3(0.10, 0.085, 0.09), vec3(0.03, 0.025, 0.035), smoothstep(0.0, 1.4, above));\n  vec3 desk = mix(vec3(0.19, 0.125, 0.08), vec3(0.06, 0.04, 0.03), smoothstep(0.0, 0.9, -above));\n  vec3 col = above > 0.0 ? wall : desk;\n\n  // Warm light from the bulb spills onto the wall and the desk\n  vec2 dw = p - vec2(0.0, 0.45);\n  col += vec3(1.0, 0.5, 0.22) * uLight * 0.2 * exp(-2.0 * dot(dw, dw));\n  vec2 dd = (p - vec2(0.0, -0.22)) * vec2(0.7, 2.2);\n  col += vec3(1.0, 0.5, 0.22) * uLight * 0.14 * exp(-dot(dd, dd)) * step(p.y, uDesk);\n\n  // Shadows where the base meets the desk\n  vec2 sh = vec2(p.x / 0.42, (p.y + 0.22) / 0.035);\n  col *= 1.0 - 0.6 * exp(-dot(sh, sh));\n  vec2 sw = vec2(p.x / 0.5, (p.y + 0.25) / 0.1);\n  col *= 1.0 - 0.25 * exp(-dot(sw, sw));\n\n  // Base: chrome housing, warmed along its top rim\n  float baseD = max(abs(p.x) - 0.30, max(-0.22 - p.y, p.y + 0.02));\n  col = mix(col, chromeBar(p.x, 0.30, uLight * 0.3 * exp(-sq((p.y + 0.02) / 0.03))), cover(baseD, px));\n\n  // Collar that holds the bottle\n  float collarD = max(abs(p.x) - 0.262, max(-0.02 - p.y, p.y - 0.04));\n  col = mix(col, chromeBar(p.x, 0.262, uLight * 0.25 * exp(-sq((p.y - 0.04) / 0.02))), cover(collarD, px));\n\n  // Domed cap on top\n  float capHW = p.y > 1.0 ? 0.11 * sqrt(max(0.0, 1.0 - sq((p.y - 1.0) / 0.06))) : 0.11;\n  float capD = max(abs(p.x) - capHW, max(0.92 - p.y, p.y - 1.06));\n  col = mix(col, chromeBar(p.x, 0.11, 0.0), cover(capD, px));\n\n  // Bottle\n  float gh = glassHalf(p.y);\n  float gOut = cover(max(abs(p.x) - gh, max(0.04 - p.y, p.y - 0.92)), px);\n  float gIn = cover(max(abs(p.x) - (gh - 0.012), max(0.052 - p.y, p.y - 0.908)), px);\n  if (gOut > 0.0) {\n    float liq = gIn * (1.0 - smoothstep(-px, px, p.y - 0.84));\n    vec3 fluid = vec3(0.05, 0.19, 0.24) * (0.6 + 0.8 * uLight * exp(-2.5 * max(p.y - 0.052, 0.0)));\n    col = mix(col, fluid, 0.5 * liq) + vec3(0.05, 0.07, 0.08) * gOut;\n    col += vec3(0.6, 0.8, 0.85) * 0.2 * gIn * exp(-sq((p.y - 0.84) / (1.5 * px + 0.002)));  // liquid surface\n\n    // Wax as metaballs: the field f is >= 1 inside a blob\n    if (gIn > 0.0) {\n      float f = 0.0, ws = 0.0, rs = 0.0;\n      vec2 g = vec2(0.0);\n      for (int i = 0; i < 20; i++) {\n        if (i >= uCount) break;\n        vec4 bl = uBlobs[i];\n        vec2 d = p - bl.xy;\n        float r2 = bl.z * bl.z;\n        float d2 = dot(d, d) + 1e-6;\n        float w = r2 / d2;\n        f += w;\n        ws += w * bl.w;\n        rs += w * bl.z;\n        g -= 2.0 * r2 * d / (d2 * d2);   // gradient of f\n      }\n      float fstep = length(g) * px;      // how much f changes across one device pixel\n      float mask = smoothstep(1.0 - 0.8 * fstep, 1.0 + 0.8 * fstep + 1e-5, f) * liq;\n\n      float temp = clamp(ws / max(f, 1e-6), 0.0, 1.0);\n      float rE = rs / max(f, 1e-6);\n      float h = sqrt(max(1.0 - 1.0 / max(f, 1e-6), 0.0));   // dome height, 1 at the centre\n      vec2 slope = rE * g / (2.0 * max(h, 0.02) * max(f * f, 1e-12));\n      vec3 N = normalize(vec3(-slope, 1.0));\n      vec3 L = normalize(vec3(-0.45, 0.6, 0.66));\n      float diff = max(dot(N, L), 0.0);\n      float spec = pow(max(dot(N, normalize(L + vec3(0.0, 0.0, 1.0))), 0.0), 36.0);\n      float rim = 1.0 - N.z;\n\n      vec3 wc = mix(vec3(0.42, 0.03, 0.08), vec3(0.95, 0.24, 0.07), smoothstep(0.1, 0.6, temp));\n      wc = mix(wc, vec3(1.0, 0.72, 0.32), smoothstep(0.7, 1.0, temp));\n      vec3 shade = wc * (0.18 + 0.82 * diff) + wc * rim * rim * 0.5;\n      shade += vec3(1.0, 0.9, 0.8) * spec * 0.4;\n      shade += wc * temp * uLight * 0.35;   // glows while the bulb is on\n      shade *= 0.45 + 0.55 * uLight;        // duller when cold\n      col = mix(col, shade, mask);\n    }\n\n    // Glass highlights\n    float u = clamp(p.x / gh, -1.0, 1.0);\n    float fade = smoothstep(0.06, 0.16, p.y) * (1.0 - smoothstep(0.84, 0.9, p.y));\n    float streak = (exp(-sq((u + 0.62) / 0.05)) + 0.4 * exp(-sq((u - 0.78) / 0.03))) * fade;\n    float edge = 1.0 - smoothstep(0.0, 0.02, gh - abs(p.x));\n    col += vec3(0.95, 0.97, 1.0) * (0.28 * streak + 0.1 * edge) * gIn;\n  }\n\n  // Dither to hide banding in the gradients\n  col += (fract(sin(dot(gl_FragCoord.xy, vec2(12.9898, 78.233))) * 43758.5453) - 0.5) / 255.0;\n  fragColor = vec4(clamp(col, 0.0, 1.0), 1.0);\n}\n`;\n\nconst canvas = document.getElementById('scene');\nconst power = document.getElementById('power');\nconst msg = document.getElementById('msg');\nconst gl = canvas.getContext('webgl2', { alpha: false, antialias: false, depth: false, stencil: false });\n\nconst U = {};\nconst blobData = new Float32Array(20 * 4);\nlet quality = 1;                 // render scale; drops if the frame rate sags\nlet scale = 400;                 // CSS pixels per world unit\nlet last = 0, acc = 0, frames = 0, slowFrames = 0;\n\nfunction build(type, src) {\n  const shader = gl.createShader(type);\n  gl.shaderSource(shader, src.trim());\n  gl.compileShader(shader);\n  if (!gl.getShaderParameter(shader, gl.COMPILE_STATUS)) {\n    throw new Error(gl.getShaderInfoLog(shader));\n  }\n  return shader;\n}\n\nfunction setup() {\n  const program = gl.createProgram();\n  gl.attachShader(program, build(gl.VERTEX_SHADER, VS));\n  gl.attachShader(program, build(gl.FRAGMENT_SHADER, FS));\n  gl.linkProgram(program);\n  if (!gl.getProgramParameter(program, gl.LINK_STATUS)) {\n    throw new Error(gl.getProgramInfoLog(program));\n  }\n  gl.useProgram(program);\n\n  // One oversized triangle covers the screen\n  const buffer = gl.createBuffer();\n  gl.bindBuffer(gl.ARRAY_BUFFER, buffer);\n  gl.bufferData(gl.ARRAY_BUFFER, new Float32Array([-1, -1, 3, -1, -1, 3]), gl.STATIC_DRAW);\n  const aPos = gl.getAttribLocation(program, 'aPos');\n  gl.enableVertexAttribArray(aPos);\n  gl.vertexAttribPointer(aPos, 2, gl.FLOAT, false, 0, 0);\n\n  U.origin = gl.getUniformLocation(program, 'uOrigin');\n  U.scale = gl.getUniformLocation(program, 'uScale');\n  U.desk = gl.getUniformLocation(program, 'uDesk');\n  U.light = gl.getUniformLocation(program, 'uLight');\n  U.count = gl.getUniformLocation(program, 'uCount');\n  U.blobs = gl.getUniformLocation(program, 'uBlobs');\n}\n\n// Fit the lamp to the screen: the base sits on the desk at 80% of the height\nfunction layout() {\n  const cssW = window.innerWidth, cssH = window.innerHeight;\n  const dpr = Math.min(window.devicePixelRatio || 1, 2);\n  const w = Math.round(cssW * dpr * quality);\n  const h = Math.round(cssH * dpr * quality);\n  if (canvas.width !== w || canvas.height !== h) {\n    canvas.width = w;\n    canvas.height = h;\n  }\n  gl.viewport(0, 0, w, h);\n\n  scale = Math.min(cssH * 0.52, cssW * 1.05, 560);\n  const originY = cssH * 0.8 - 0.22 * scale;   // screen y of world (0, 0)\n  const ratio = w / cssW;\n  gl.uniform2f(U.origin, cssW / 2 * ratio, (cssH - originY) * ratio);\n  gl.uniform1f(U.scale, scale * ratio);\n  gl.uniform1f(U.desk, (originY - cssH * 0.7) / scale);\n\n  // The switch sits on the front of the base\n  power.style.left = cssW / 2 + 0.155 * scale + 'px';\n  power.style.top = originY + 0.12 * scale + 'px';\n  power.style.setProperty('--k', Math.min(1.3, Math.max(0.75, scale / 400)).toFixed(3));\n}\n\nfunction draw() {\n  const n = Math.min(blobs.length, 20);\n  for (let i = 0; i < n; i++) {\n    const b = blobs[i];\n    blobData[i * 4] = b.x;\n    blobData[i * 4 + 1] = b.y;\n    blobData[i * 4 + 2] = b.r;\n    blobData[i * 4 + 3] = b.t;\n  }\n  gl.uniform4fv(U.blobs, blobData);\n  gl.uniform1i(U.count, n);\n  gl.uniform1f(U.light, light);\n  gl.drawArrays(gl.TRIANGLES, 0, 3);\n}\n\n// If frames keep running long (a weak GPU), render at a lower resolution\nfunction watchFrameRate(dt) {\n  if (dt === 0 || dt >= 0.25 || ++frames < 60) return;   // skip start-up and tab switches\n  if (dt > 1.3 / 60) slowFrames++;\n  if (frames % 120 === 0) {\n    if (slowFrames > 40 && quality > 0.5) {\n      quality = Math.max(0.5, quality * 0.8);\n      layout();\n    }\n    slowFrames = 0;\n  }\n}\n\nfunction frame(now) {\n  requestAnimationFrame(frame);\n  const dt = last ? Math.min((now - last) / 1000, 0.25) : 0;\n  last = now;\n\n  // Fixed 60 Hz steps, so the speed doesn't depend on the display's refresh rate\n  acc = Math.min(acc + dt, 0.1);\n  while (acc >= 1 / 60) {\n    update(1 / 60);\n    acc -= 1 / 60;\n  }\n  draw();\n  watchFrameRate(dt);\n}\n\nfunction fail(text) {\n  power.hidden = true;\n  msg.textContent = text;\n  msg.hidden = false;\n}\n\nif (!gl) {\n  fail('This lamp needs WebGL 2, which this browser does not offer.');\n} else {\n  try {\n    setup();\n    reset();\n    layout();\n    window.addEventListener('resize', layout);\n    power.addEventListener('click', () => {\n      on = !on;\n      power.setAttribute('aria-checked', String(on));\n    });\n    requestAnimationFrame(frame);\n  } catch (err) {\n    console.error(err);\n    fail('The lamp could not start: ' + err.message);\n  }\n}\n</script>\n</body>\n</html>\n"
}

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[assistant]
The file is written. Next I'll check the script compiles and run the wax simulation headlessly in Node: mass conservation, bounds, merges and splits, and the rise/sink cycle with the switch on and off.

[tool Bash]
{
  "command": "/opt/homebrew/opt/node@22/bin/node - <<'EOF'\nconst fs = require('fs'), vm = require('vm');\nconst html = fs.readFileSync('[workspace]/index.html', 'utf8');\nconst src = html.split('<script>')[1].split('</script>')[0];\nconst stubEl = () => ({ hidden: false, textContent: '', style: {}, setAttribute() {}, addEventListener() {} });\nconst ctx = {\n  console, Math, Float32Array, process,\n  now: () => Number(process.hrtime.bigint()),\n  document: { getElementById: () => ({ ...stubEl(), getContext: () => null }) },\n  window: { innerWidth: 390, innerHeight: 844, devicePixelRatio: 2, addEventListener() {} },\n  requestAnimationFrame: () => 0,\n};\nvm.createContext(ctx);\nvm.runInContext(src, ctx, { filename: 'index.html' });   // compiles and runs the page script (WebGL is absent, so it takes the fallback path)\n\nconst testSrc = `\n(() => {\n  reset();\n  const S0 = blobs.reduce((s, b) => s + b.m, 0);\n  const st = { S0: +S0.toFixed(3), joins: 0, splits: 0, nonFinite: 0, maxMassErr: 0,\n               maxFloorViolation: -1, maxTopViolation: -1, maxWallViolation: -1, phases: [] };\n  const origJoin = join, origSplit = split;\n  join = (a, b) => { st.joins++; origJoin(a, b); };\n  split = (b) => { st.splits++; origSplit(b); };\n  const plan = [['on', 120], ['off', 60], ['on', 90]];\n  let steps = 0, stepNs = 0;\n  for (const [mode, secs] of plan) {\n    on = mode === 'on';\n    const ph = { mode, secs, joins: 0, splits: 0, nMin: 1e9, nMax: 0, meanYmin: 1e9, meanYmax: -1e9,\n                 hotWarmAtBottom: [], coolAtTop: [], samples: [] };\n    const j0 = st.joins, s0 = st.splits;\n    for (let s = 0; s < secs * 60; s++) {\n      const a = now();\n      update(1 / 60);\n      stepNs += now() - a;\n      steps++;\n      let m = 0, wy = 0, ok = true;\n      for (const b of blobs) {\n        if (![b.x, b.y, b.m, b.t, b.r].every(Number.isFinite)) ok = false;\n        m += b.m; wy += b.m * b.y;\n        st.maxFloorViolation = Math.max(st.maxFloorViolation, FLOOR - (b.y - b.r));\n        st.maxTopViolation = Math.max(st.maxTopViolation, b.y + b.r - LIQUID);\n        st.maxWallViolation = Math.max(st.maxWallViolation, Math.abs(b.x) - innerHalf(b.y));\n      }\n      if (!ok) st.nonFinite++;\n      st.maxMassErr = Math.max(st.maxMassErr, Math.abs(m - S0));\n      ph.nMin = Math.min(ph.nMin, blobs.length);\n      ph.nMax = Math.max(ph.nMax, blobs.length);\n      const meanY = wy / m;\n      ph.meanYmin = Math.min(ph.meanYmin, meanY);\n      ph.meanYmax = Math.max(ph.meanYmax, meanY);\n      if (s % 60 === 59) {\n        const low = blobs.filter(b => b.y < 0.25), high = blobs.filter(b => b.y > 0.7);\n        const avg = arr => arr.length ? +(arr.reduce((q, b) => q + b.t, 0) / arr.length).toFixed(2) : null;\n        ph.samples.push({ t: (s + 1) / 60, n: blobs.length, meanY: +meanY.toFixed(2), heat: +heat.toFixed(2),\n                          tLow: avg(low), tHigh: avg(high) });\n      }\n    }\n    ph.joins = st.joins - j0;\n    ph.splits = st.splits - s0;\n    st.phases.push(ph);\n  }\n  st.steps = steps;\n  st.usPerStep = +(stepNs / steps / 1000).toFixed(3);\n  return st;\n})()\n`;\nconst res = vm.runInContext(testSrc, ctx);\nconst fmt = JSON.stringify(res, null, 1);\nconsole.log(fmt.replace(/\\n\\s*(?=[\\]\\}])/g, ''));\nEOF",
  "description": "Compile page script and run wax simulation checks in Node"
}

[tool error]
Exit code 1
(eval):1: can't create temp file for here document: operation not permitted

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[assistant]
Zsh can't create the heredoc temp file here. I'll put the harness in a scratch folder inside the project and delete it afterwards.

[tool Bash]
{
  "command": "mkdir -p [workspace]/.scratch && echo ok",
  "description": "Create scratch folder for the test harness"
}

[tool error]
Exit code 1
ok
zsh:1: operation not permitted: [redacted:local-path]

[system]
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[tool Write]
{
  "file_path": "[workspace]/.scratch/sim-test.js",
  "content": "// Scratch harness: loads the page script with DOM/WebGL stubs and checks the wax simulation.\nconst fs = require('fs'), vm = require('vm');\nconst html = fs.readFileSync('[workspace]/index.html', 'utf8');\nconst src = html.split('<script>')[1].split('</script>')[0];\nconst stubEl = () => ({ hidden: false, textContent: '', style: {}, setAttribute() {}, addEventListener() {} });\nconst ctx = {\n  console, Math, Float32Array, process,\n  now: () => Number(process.hrtime.bigint()),\n  document: { getElementById: () => ({ ...stubEl(), getContext: () => null }) },\n  window: { innerWidth: 390, innerHeight: 844, devicePixelRatio: 2, addEventListener() {} },\n  requestAnimationFrame: () => 0,\n};\nvm.createContext(ctx);\nvm.runInContext(src, ctx, { filename: 'index.html' }); // no WebGL here, so the page takes its fallback path\n\nconst testSrc = `\n(() => {\n  reset();\n  const S0 = blobs.reduce((s, b) => s + b.m, 0);\n  const st = { S0: +S0.toFixed(3), joins: 0, splits: 0, nonFinite: 0, maxMassErr: 0,\n               maxFloorViolation: -1, maxTopViolation: -1, maxWallViolation: -1, phases: [] };\n  const origJoin = join, origSplit = split;\n  join = (a, b) => { st.joins++; origJoin(a, b); };\n  split = (b) => { st.splits++; origSplit(b); };\n  const plan = [['on', 120], ['off', 60], ['on', 90]];\n  let steps = 0, stepNs = 0;\n  for (const [mode, secs] of plan) {\n    on = mode === 'on';\n    const ph = { mode, secs, joins: 0, splits: 0, nMin: 1e9, nMax: 0, meanYmin: 1e9, meanYmax: -1e9, samples: [] };\n    const j0 = st.joins, s0 = st.splits;\n    for (let s = 0; s < secs * 60; s++) {\n      const a = now();\n      update(1 / 60);\n      stepNs += now() - a;\n      steps++;\n      let m = 0, wy = 0, ok = true;\n      for (const b of blobs) {\n        if (![b.x, b.y, b.m, b.t, b.r].every(Number.isFinite)) ok = false;\n        m += b.m; wy += b.m * b.y;\n        st.maxFloorViolation = Math.max(st.maxFloorViolation, FLOOR - (b.y - b.r));\n        st.maxTopViolation = Math.max(st.maxTopViolation, b.y + b.r - LIQUID);\n        st.maxWallViolation = Math.max(st.maxWallViolation, Math.abs(b.x) - innerHalf(b.y));\n      }\n      if (!ok) st.nonFinite++;\n      st.maxMassErr = Math.max(st.maxMassErr, Math.abs(m - S0));\n      ph.nMin = Math.min(ph.nMin, blobs.length);\n      ph.nMax = Math.max(ph.nMax, blobs.length);\n      const meanY = wy / m;\n      ph.meanYmin = Math.min(ph.meanYmin, meanY);\n      ph.meanYmax = Math.max(ph.meanYmax, meanY);\n      if (s % 120 === 119) {\n        const low = blobs.filter(b => b.y < 0.25), high = blobs.filter(b => b.y > 0.7);\n        const avg = arr => arr.length ? +(arr.reduce((q, b) => q + b.t, 0) / arr.length).toFixed(2) : null;\n        ph.samples.push({ t: +((s + 1) / 60).toFixed(1), n: blobs.length, meanY: +meanY.toFixed(2),\n                          heat: +heat.toFixed(2), tLow: avg(low), tHigh: avg(high) });\n      }\n    }\n    ph.joins = st.joins - j0;\n    ph.splits = st.splits - s0;\n    st.phases.push(ph);\n  }\n  st.steps = steps;\n  st.usPerStep = +(stepNs / steps / 1000).toFixed(3);\n  return st;\n})()\n`;\nconst res = vm.runInContext(testSrc, ctx);\nconsole.log(JSON.stringify(res, null, 1));\n"
}

[tool result]
File created successfully at: [workspace]/.scratch/sim-test.js (file state is current in your context — no need to Read it back)

[system]
status

[tool Bash]
{
  "command": "/opt/homebrew/opt/node@22/bin/node [workspace]/.scratch/sim-test.js 2>&1 | head -150",
  "description": "Run the wax simulation checks in Node"
}

[tool error]
Exit code 1
{
 "S0": 6.46,
 "joins": 119,
 "splits": 115,
 "nonFinite": 0,
 "maxMassErr": 4.618527782440651e-14,
 "maxFloorViolation": 0.02428060457936742,
 "maxTopViolation": -0.08583467952658952,
 "maxWallViolation": -0.020595028145269312,
 "phases": [
  {
   "mode": "on",
   "secs": 120,
   "joins": 64,
   "splits": 60,
   "nMin": 2,
   "nMax": 7,
   "meanYmin": 0.2392203347934905,
   "meanYmax": 0.472518335590333,
   "samples": [
    {
     "t": 2,
     "n": 4,
     "meanY": 0.44,
     "heat": 0.63,
     "tLow": null,
     "tHigh": null
    },
    {
     "t": 4,
     "n": 4,
     "meanY": 0.39,
     "heat": 0.87,
     "tLow": 0.46,
     "tHigh": null
    },
    {
     "t": 6,
     "n": 4,
     "meanY": 0.4,
     "heat": 0.95,
     "tLow": null,
     "tHigh": null
    },
    {
     "t": 8,
     "n": 4,
     "meanY": 0.34,
     "heat": 0.98,
     "tLow": 0.44,
     "tHigh": null
    },
    {
     "t": 10,
     "n": 4,
     "meanY": 0.35,
     "heat": 0.99,
     "tLow": null,
     "tHigh": null
    },
    {
     "t": 12,
     "n": 3,
     "meanY": 0.32,
     "heat": 1,
     "tLow": 0.52,
     "tHigh": null
    },
    {
     "t": 14,
     "n": 5,
     "meanY": 0.31,
     "heat": 1,
     "tLow": 0.53,
     "tHigh": null
    },
    {
     "t": 16,
     "n": 4,
     "meanY": 0.3,
     "heat": 1,
     "tLow": 0.61,
     "tHigh": null
    },
    {
     "t": 18,
     "n": 4,
     "meanY": 0.3,
     "heat": 1,
     "tLow": 0.59,
     "tHigh": null
    },
    {
     "t": 20,
     "n": 4,
     "meanY": 0.36,
     "heat": 1,
     "tLow": 0.56,
     "tHigh": null
    },
    {
     "t": 22,
     "n": 4,
     "meanY": 0.41,
     "heat": 1,
     "tLow": 0.6,
     "tHigh": null
    },
    {
     "t": 24,
     "n": 3,
     "meanY": 0.44,
     "heat": 1,
     "tLow": null,
     "tHigh": null
    },
    {
     "t": 26,
     "n": 4,
     "meanY": 0.47,
     "heat": 1,
     "tLow": null,
     "tHigh": null
    },
    {
     "t": 28,
     "n": 4,
     "meanY": 0.4,
     "heat": 1,
     "tLow": 0.6,
     "tHigh": null
    },
    {
     "t": 30,
     "n": 4,
     "meanY": 0.35,
     "heat": 1,
     "tLow": 0.63,
     "tHigh": null
    },
    {
     "t": 32,
     "n": 4,
     "meanY": 0.33,
     "heat": 1,
     "tLow": 0.67,
     "tHigh": null
    },
    {
     "t": 34,
zsh:1: operation not permitted: [redacted:local-path]

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[assistant]
The physics checks pass on the core invariants: mass is conserved to 5e-14, blobs stay finite, and joins and splits both occur. Two things need fixing. Blobs leave the floor by up to 0.024 after bounce collisions, and the heating profile stalls rising blobs in the middle of the glass. I'll adjust the thermal profile so the cycle runs floor to top and back.

[tool Edit]
{
  "replace_all": false,
  "file_path": "[workspace]/index.html",
  "old_string": "  const air = 0.05 + 0.25 * (1 - heat);   // cools faster once the bulb is off\n\n  // Temperature and buoyancy\n  for (const b of blobs) {\n    if (b.role === SLIDING || b.role === GONE) continue;\n    b.age += dt;\n    if (b.cool > 0) b.cool -= dt;\n\n    // Heat from the bulb at the bottom; cooling from the air and near the top\n    const heater = Math.exp(-(b.y - FLOOR) / 0.11);\n    const topCool = 0.6 * smooth(0.5, 0.8, b.y);\n    const dT = 0.55 * heat * heater * (1 - b.t) - (air + topCool) * b.t;",
  "new_string": "  const air = 0.01 + 0.3 * (1 - heat);    // cools fast once the bulb is off\n\n  // Temperature and buoyancy\n  for (const b of blobs) {\n    if (b.role === SLIDING || b.role === GONE) continue;\n    b.age += dt;\n    if (b.cool > 0) b.cool -= dt;\n\n    // Heat from the bulb, strongest at the floor; cooling from the air and near the top\n    const heater = Math.exp(-(b.y - FLOOR) / 0.18);\n    const topCool = 0.6 * smooth(0.66, 0.82, b.y);\n    const dT = 0.55 * heat * heater * (1 - b.t) - (air + topCool) * b.t;"
}

[tool result]
The file [workspace]/index.html has been updated successfully. (file state is current in your context — no need to Read it back)

[system]
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[tool Edit]
{
  "replace_all": false,
  "file_path": "[workspace]/index.html",
  "old_string": "      if (canJoin(a, b)) join(a, b);\n      else bounce(a, b, dx / d, dy / d, R - d);\n    }\n  }\n",
  "new_string": "      if (canJoin(a, b)) join(a, b);\n      else bounce(a, b, dx / d, dy / d, R - d);\n    }\n  }\n  for (const b of blobs) if (b.role === FREE) keepInside(b);   // bounces can push a blob through a wall\n"
}

[tool result]
The file [workspace]/index.html has been updated successfully. (file state is current in your context — no need to Read it back)

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[assistant]
Now I'll make the harness report per-phase summaries: reach of the highest and lowest blobs, temperatures at each end, and event counts.

[tool Write]
{
  "file_path": "[workspace]/.scratch/sim-test.js",
  "content": "// Scratch harness: loads the page script with DOM/WebGL stubs and checks the wax simulation.\nconst fs = require('fs'), vm = require('vm');\nconst html = fs.readFileSync('[workspace]/index.html', 'utf8');\nconst src = html.split('<script>')[1].split('</script>')[0];\nconst stubEl = () => ({ hidden: false, textContent: '', style: {}, setAttribute() {}, addEventListener() {} });\nconst ctx = {\n  console, Math, Float32Array, process,\n  now: () => Number(process.hrtime.bigint()),\n  document: { getElementById: () => ({ ...stubEl(), getContext: () => null }) },\n  window: { innerWidth: 390, innerHeight: 844, devicePixelRatio: 2, addEventListener() {} },\n  requestAnimationFrame: () => 0,\n};\nvm.createContext(ctx);\nvm.runInContext(src, ctx, { filename: 'index.html' }); // no WebGL here, so the page takes its fallback path\n\nconst testSrc = `\n(() => {\n  reset();\n  const S0 = blobs.reduce((s, b) => s + b.m, 0);\n  const st = { S0: +S0.toFixed(3), nonFinite: 0, maxMassErr: 0,\n               floorViolation: -1, topViolation: -1, wallViolation: -1, phases: [] };\n  let joins = 0, splits = 0, stepNs = 0, steps = 0;\n  const origJoin = join, origSplit = split;\n  join = (a, b) => { joins++; origJoin(a, b); };\n  split = (b) => { splits++; origSplit(b); };\n  const avg = arr => arr.length ? +(arr.reduce((q, b) => q + b.t, 0) / arr.length).toFixed(2) : null;\n  const plan = [['on', 120], ['off', 60], ['on', 90]];\n  for (const [mode, secs] of plan) {\n    on = mode === 'on';\n    const ph = { mode, secs, joins: 0, splits: 0, nMin: 1e9, nMax: 0, maxY: -1, minY: 2,\n                 hotAtBottom: null, coolAtTop: null, meanYrange: [1e9, -1e9] };\n    const j0 = joins, s0 = splits;\n    let tBottom = [], tTop = [], yMaxSeen = -1, yMinSeen = 2, meanMin = 1e9, meanMax = -1e9;\n    for (let s = 0; s < secs * 60; s++) {\n      const a = now();\n      update(1 / 60);\n      stepNs += now() - a;\n      steps++;\n      let m = 0, wy = 0, ok = true;\n      for (const b of blobs) {\n        if (![b.x, b.y, b.m, b.t, b.r].every(Number.isFinite)) ok = false;\n        m += b.m; wy += b.m * b.y;\n        st.floorViolation = Math.max(st.floorViolation, FLOOR - (b.y - b.r));\n        st.topViolation = Math.max(st.topViolation, b.y + b.r - LIQUID);\n        st.wallViolation = Math.max(st.wallViolation, Math.abs(b.x) - innerHalf(b.y));\n        yMaxSeen = Math.max(yMaxSeen, b.y);\n        yMinSeen = Math.min(yMinSeen, b.y);\n      }\n      if (!ok) st.nonFinite++;\n      st.maxMassErr = Math.max(st.maxMassErr, Math.abs(m - S0));\n      ph.nMin = Math.min(ph.nMin, blobs.length);\n      ph.nMax = Math.max(ph.nMax, blobs.length);\n      const meanY = wy / m;\n      meanMin = Math.min(meanMin, meanY);\n      meanMax = Math.max(meanMax, meanY);\n      if (s % 30 === 29) {\n        tBottom.push(...blobs.filter(b => b.y < 0.25));\n        tTop.push(...blobs.filter(b => b.y > 0.66));\n      }\n    }\n    ph.joins = joins - j0;\n    ph.splits = splits - s0;\n    ph.maxY = +yMaxSeen.toFixed(2);\n    ph.minY = +yMinSeen.toFixed(2);\n    ph.meanYrange = [+meanMin.toFixed(2), +meanMax.toFixed(2)];\n    ph.hotAtBottom = avg(tBottom);\n    ph.coolAtTop = avg(tTop);\n    st.phases.push(ph);\n  }\n  st.steps = steps;\n  st.usPerStep = +(stepNs / steps / 1000).toFixed(3);\n  return st;\n})()\n`;\nconst res = vm.runInContext(testSrc, ctx);\nconsole.log(JSON.stringify(res));\n"
}

[tool result]
The file [workspace]/.scratch/sim-test.js has been updated successfully. (file state is current in your context — no need to Read it back)

[system]
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[tool Bash]
{
  "command": "/opt/homebrew/opt/node@22/bin/node [workspace]/.scratch/sim-test.js 2>&1 | head -c 3000",
  "description": "Rerun the wax simulation checks with updated thermal model"
}

[tool error]
Exit code 1
{"S0":6.274,"nonFinite":0,"maxMassErr":5.684341886080802e-14,"floorViolation":0.00017207419647676664,"topViolation":1.1102230246251565e-16,"wallViolation":-0.06187641622993123,"phases":[{"mode":"on","secs":120,"joins":72,"splits":68,"nMin":2,"nMax":7,"maxY":0.74,"minY":0.17,"hotAtBottom":0.69,"coolAtTop":0.4,"meanYrange":[0.34,0.64]},{"mode":"off","secs":60,"joins":1,"splits":1,"nMin":3,"nMax":4,"maxY":0.73,"minY":0.15,"hotAtBottom":0,"coolAtTop":0,"meanYrange":[0.22,0.52]},{"mode":"on","secs":90,"joins":57,"splits":59,"nMin":2,"nMax":5,"maxY":0.75,"minY":0.15,"hotAtBottom":0.59,"coolAtTop":0.47,"meanYrange":[0.22,0.65]}],"steps":16200,"usPerStep":25.873}
zsh:1: operation not permitted: [redacted:local-path]

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[assistant]
Mass is conserved, nothing goes non-finite, blobs reach the top (0.74) and the floor, and the wax warms and cools with the switch. Two things remain. Blobs in the cold pool never merge because they settle at exact contact, so merging needs a small touch tolerance. Joins also run about once every 1.7 s, which is too busy, so I'll only let blobs of similar temperature fuse. Hot and cold wax will bounce apart instead.

[tool Edit]
{
  "replace_all": false,
  "file_path": "[workspace]/index.html",
  "old_string": "function canJoin(a, b) {\n  if (a.sib === b && (a.cool > 0 || b.cool > 0)) return false;   // just pinched apart\n  if (a.m + b.m > M_MERGE) return false;\n  return !(a.incoming > 0 && b.incoming > 0);\n}",
  "new_string": "function canJoin(a, b) {\n  if (a.sib === b && (a.cool > 0 || b.cool > 0)) return false;   // just pinched apart\n  if (a.m + b.m > M_MERGE || Math.abs(a.t - b.t) > 0.3) return false;   // hot and cold wax don't mix\n  return !(a.incoming > 0 && b.incoming > 0);\n}"
}

[tool result]
The file [workspace]/index.html has been updated successfully. (file state is current in your context — no need to Read it back)

[system]
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[tool Edit]
{
  "replace_all": false,
  "file_path": "[workspace]/index.html",
  "old_string": "      const R = a.r + b.r;\n      if (d >= R) continue;\n      if (canJoin(a, b)) join(a, b);\n      else bounce(a, b, dx / d, dy / d, R - d);",
  "new_string": "      const R = a.r + b.r;\n      if (d >= R * 1.1) continue;\n      if (canJoin(a, b)) join(a, b);\n      else if (d < R) bounce(a, b, dx / d, dy / d, R - d);"
}

[tool result]
The file [workspace]/index.html has been updated successfully. (file state is current in your context — no need to Read it back)

[system]
status

[tool Bash]
{
  "command": "for i in 1 2 3; do /opt/homebrew/opt/node@22/bin/node [workspace]/.scratch/sim-test.js 2>/dev/null; echo; done",
  "description": "Run wax simulation checks three times with different random seeds"
}

[tool error]
Exit code 1



zsh:1: operation not permitted: [redacted:local-path]

[system]
status

[system]
thinking_tokens

[system]
thinking_tokens

[assistant]
The runs printed nothing, so the script is throwing. I'll run it once with stderr visible.

[tool Bash]
{
  "command": "/opt/homebrew/opt/node@22/bin/node [workspace]/.scratch/sim-test.js 2>&1 | head -c 1500",
  "description": "Run simulation check and show any error output"
}

[tool error]
Exit code 1
{"S0":7.559,"nonFinite":0,"maxMassErr":7.993605777301127e-15,"floorViolation":6.938893903907228e-18,"topViolation":1.1102230246251565e-16,"wallViolation":-0.07520779332372718,"phases":[{"mode":"on","secs":120,"joins":8,"splits":5,"nMin":2,"nMax":7,"maxY":0.73,"minY":0.19,"hotAtBottom":0.85,"coolAtTop":0.17,"meanYrange":[0.38,0.62]},{"mode":"off","secs":60,"joins":0,"splits":0,"nMin":4,"nMax":4,"maxY":0.72,"minY":0.14,"hotAtBottom":0,"coolAtTop":0,"meanYrange":[0.27,0.61]},{"mode":"on","secs":90,"joins":0,"splits":0,"nMin":4,"nMax":4,"maxY":0.73,"minY":0.14,"hotAtBottom":0.88,"coolAtTop":0.21,"meanYrange":[0.27,0.62]}],"steps":16200,"usPerStep":45.893}
zsh:1: operation not permitted: [redacted:local-path]

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[assistant]
The harness runs. The non-zero exit comes from the shell's cwd bookkeeping, not from node. The earlier empty runs are worrying, though, so I need to see whether a random seed throws.

The numbers also show a balance problem. With joins at 8 and splits at 5, the blobs settle at about 1.9 mass each. That is above the merge cap and below the split threshold, so the system freezes into four big blobs with no events. I'll make the split and merge thresholds overlap so events keep happening.

[tool Edit]
{
  "replace_all": false,
  "file_path": "[workspace]/index.html",
  "old_string": "const K = 0.085;       // radius = K * sqrt(mass), before warmth swells it\nconst M_SPLIT = 2.2;   // a warm blob heavier than this pinches in two\nconst M_MERGE = 3.3;   // touching blobs merge only if the result stays this light",
  "new_string": "const K = 0.085;       // radius = K * sqrt(mass), before warmth swells it\nconst M_SPLIT = 1.9;   // a warm blob heavier than this pinches in two\nconst M_MERGE = 3.0;   // touching blobs merge only if the result stays this light"
}

[tool result]
The file [workspace]/index.html has been updated successfully. (file state is current in your context — no need to Read it back)

[system]
status

[tool Bash]
{
  "command": "for i in 1 2 3 4 5; do /opt/homebrew/opt/node@22/bin/node [workspace]/.scratch/sim-test.js > [workspace]/.scratch/out$i.txt 2> [workspace]/.scratch/err$i.txt; echo \"run $i exit=$?\"; head -c 600 [workspace]/.scratch/err$i.txt; done; cat [workspace]/.scratch/out1.txt | head -c 1200",
  "description": "Run five seeded simulation checks and capture stdout and stderr"
}

[system]
task_started

[system]
task_notification

[tool error]
Exit code 1
run 1 exit=0
run 2 exit=0
run 3 exit=0
run 4 exit=0
run 5 exit=0
{"S0":7.183,"nonFinite":0,"maxMassErr":7.105427357601002e-15,"floorViolation":6.938893903907228e-18,"topViolation":1.1102230246251565e-16,"wallViolation":-0.0651974308038859,"phases":[{"mode":"on","secs":120,"joins":9,"splits":6,"nMin":3,"nMax":7,"maxY":0.74,"minY":0.18,"hotAtBottom":0.78,"coolAtTop":0.24,"meanYrange":[0.33,0.59]},{"mode":"off","secs":60,"joins":0,"splits":0,"nMin":4,"nMax":4,"maxY":0.74,"minY":0.16,"hotAtBottom":0,"coolAtTop":0,"meanYrange":[0.26,0.59]},{"mode":"on","secs":90,"joins":0,"splits":0,"nMin":4,"nMax":4,"maxY":0.74,"minY":0.16,"hotAtBottom":0.85,"coolAtTop":0.21,"meanYrange":[0.26,0.59]}],"steps":16200,"usPerStep":22.454}
zsh:1: operation not permitted: [redacted:local-path]

[system]
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[assistant]
All five seeded runs exit cleanly, and mass is still conserved. The second on-phase has zero events, though. That is a frozen equilibrium: the fixed thresholds leave no pair that can merge and no blob that must split. I'll let warm, medium-sized blobs pinch at random as well, so events keep happening.

[tool Edit]
{
  "replace_all": false,
  "file_path": "[workspace]/index.html",
  "old_string": "  // Warm blobs that have grown too heavy pinch in two (only while the bulb is on)\n  if (heat > 0.35) {\n    for (const b of blobs.slice()) {\n      if (blobs.length < MAX_BLOBS && b.role === FREE && b.incoming === 0 && b.m > M_SPLIT && b.age > 1) {\n        split(b);\n      }\n    }\n  }",
  "new_string": "  // Warm blobs pinch in two: always when heavy, sometimes when medium (only while the bulb is on)\n  if (heat > 0.35) {\n    for (const b of blobs.slice()) {\n      if (blobs.length >= MAX_BLOBS || b.role !== FREE || b.incoming > 0 || b.age < 1) continue;\n      if (b.m > M_SPLIT || (b.m > 1.3 && b.t > 0.75 && Math.random() < 0.1 * dt)) split(b);\n    }\n  }"
}

[tool result]
The file [workspace]/index.html has been updated successfully. (file state is current in your context — no need to Read it back)

[system]
status

[system]
thinking_tokens

[system]
thinking_tokens

[tool Edit]
{
  "replace_all": false,
  "file_path": "[workspace]/index.html",
  "old_string": "const M_SPLIT = 1.9;   // a warm blob heavier than this pinches in two\nconst M_MERGE = 3.0;   // touching blobs merge only if the result stays this light",
  "new_string": "const M_SPLIT = 2.0;   // a warm blob heavier than this pinches in two\nconst M_MERGE = 3.0;   // touching blobs merge only if the result stays this light"
}

[tool result]
The file [workspace]/index.html has been updated successfully. (file state is current in your context — no need to Read it back)

[system]
status

[tool Edit]
{
  "replace_all": false,
  "file_path": "[workspace]/index.html",
  "old_string": "  for (let i = 0; i < 7; i++) {\n    blobs.push(makeBlob(\n      (Math.random() * 2 - 1) * 0.15,\n      FLOOR + 0.1 + Math.random() * 0.5,\n      0.7 + Math.random() * 0.6,\n      0.4 + Math.random() * 0.4));\n  }",
  "new_string": "  for (let i = 0; i < 6; i++) {\n    blobs.push(makeBlob(\n      (Math.random() * 2 - 1) * 0.15,\n      FLOOR + 0.1 + Math.random() * 0.5,\n      0.9 + Math.random() * 0.6,\n      0.4 + Math.random() * 0.4));\n  }"
}

[tool result]
The file [workspace]/index.html has been updated successfully. (file state is current in your context — no need to Read it back)

[system]
status

[system]
thinking_tokens

[system]
thinking_tokens

[tool Bash]
{
  "command": "for i in 1 2 3 4 5; do /opt/homebrew/opt/node@22/bin/node [workspace]/.scratch/sim-test.js 2>&1 | /opt/homebrew/opt/node@22/bin/node -e \"let s='';process.stdin.on('data',d=>s+=d).on('end',()=>{const r=JSON.parse(s);console.log('mass err',r.maxMassErr.toExponential(1),'nonFinite',r.nonFinite,'floorViol',r.floorViolation.toExponential(1),'wall',r.wallViolation.toFixed(3));for(const p of r.phases)console.log(p.mode,p.secs+'s','joins',p.joins,'splits',p.splits,'n',p.nMin+'-'+p.nMax,'maxY',p.maxY,'minY',p.minY,'meanY',p.meanYrange.join('..'),'tBottom',p.hotAtBottom,'tTop',p.coolAtTop)});\"; echo \"--\"; done 2>&1 | head -c 4000",
  "description": "Run simulation five times and summarize events per phase"
}

[tool error]
Exit code 1
mass err 2.5e-14 nonFinite 0 floorViol 6.9e-18 wall -0.054
on 120s joins 65 splits 64 n 2-6 maxY 0.75 minY 0.15 meanY 0.46..0.62 tBottom 0.82 tTop 0.51
off 60s joins 6 splits 4 n 3-6 maxY 0.67 minY 0.16 meanY 0.25..0.54 tBottom 0 tTop 0
on 90s joins 44 splits 45 n 2-6 maxY 0.74 minY 0.14 meanY 0.19..0.6 tBottom 0.57 tTop 0.18
--
mass err 2.5e-14 nonFinite 0 floorViol 4.6e-4 wall -0.058
on 120s joins 67 splits 65 n 3-6 maxY 0.73 minY 0.17 meanY 0.42..0.62 tBottom 0.77 tTop 0.18
off 60s joins 2 splits 2 n 4-5 maxY 0.68 minY 0.14 meanY 0.26..0.57 tBottom 0 tTop 0
on 90s joins 49 splits 49 n 3-5 maxY 0.73 minY 0.14 meanY 0.26..0.62 tBottom 0.65 tTop 0.26
--
mass err 5.3e-14 nonFinite 0 floorViol 6.9e-18 wall -0.056
on 120s joins 56 splits 54 n 1-6 maxY 0.74 minY 0.28 meanY 0.42..0.62 tBottom null tTop 0.17
off 60s joins 3 splits 2 n 3-5 maxY 0.72 minY 0.16 meanY 0.25..0.56 tBottom 0 tTop 0
on 90s joins 51 splits 53 n 2-6 maxY 0.73 minY 0.14 meanY 0.19..0.62 tBottom 0.52 tTop 0.22
--
mass err 5.1e-14 nonFinite 0 floorViol 1.8e-4 wall -0.053
on 120s joins 73 splits 71 n 3-6 maxY 0.75 minY 0.13 meanY 0.39..0.6 tBottom 0.81 tTop 0.28
off 60s joins 2 splits 2 n 4-5 maxY 0.73 minY 0.15 meanY 0.26..0.57 tBottom 0 tTop 0
on 90s joins 64 splits 64 n 3-6 maxY 0.74 minY 0.15 meanY 0.26..0.58 tBottom 0.62 tTop 0.17
--
mass err 3.1e-14 nonFinite 0 floorViol 6.9e-18 wall -0.049
on 120s joins 116 splits 115 n 2-6 maxY 0.76 minY 0.18 meanY 0.38..0.63 tBottom 0.69 tTop 0.25
off 60s joins 5 splits 3 n 3-6 maxY 0.74 minY 0.18 meanY 0.28..0.61 tBottom 0 tTop 0.05
on 90s joins 68 splits 69 n 2-6 maxY 0.74 minY 0.14 meanY 0.2..0.62 tBottom 0.49 tTop 0.18
--
zsh:1: operation not permitted: [redacted:local-path]

[system]
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[assistant]
Events now happen, but about 30 joins and splits per minute is busier than a lava lamp should look. Most of that comes from the random pinch hazard, so I'll lower it.

[tool Edit]
{
  "replace_all": false,
  "file_path": "[workspace]/index.html",
  "old_string": "      if (b.m > M_SPLIT || (b.m > 1.3 && b.t > 0.75 && Math.random() < 0.1 * dt)) split(b);",
  "new_string": "      if (b.m > M_SPLIT || (b.m > 1.3 && b.t > 0.75 && Math.random() < 0.025 * dt)) split(b);"
}

[tool result]
The file [workspace]/index.html has been updated successfully. (file state is current in your context — no need to Read it back)

[system]
status

[tool Bash]
{
  "command": "for i in 1 2 3 4; do /opt/homebrew/opt/node@22/bin/node [workspace]/.scratch/sim-test.js 2>&1 | /opt/homebrew/opt/node@22/bin/node -e \"let s='';process.stdin.on('data',d=>s+=d).on('end',()=>{const r=JSON.parse(s);console.log('mass err',r.maxMassErr.toExponential(1),'nonFinite',r.nonFinite,'floorViol',r.floorViolation.toExponential(1),'wall',r.wallViolation.toFixed(3),'us/step',r.usPerStep);for(const p of r.phases)console.log(p.mode,p.secs+'s','joins',p.joins,'splits',p.splits,'n',p.nMin+'-'+p.nMax,'maxY',p.maxY,'minY',p.minY,'meanY',p.meanYrange.join('..'),'tBottom',p.hotAtBottom,'tTop',p.coolAtTop)});\"; echo \"--\"; done 2>&1 | head -c 4000",
  "description": "Rerun simulation four times with lower pinch rate"
}

[tool error]
Exit code 1
mass err 2.5e-14 nonFinite 0 floorViol 6.9e-18 wall -0.053 us/step 4.37
on 120s joins 27 splits 26 n 2-6 maxY 0.76 minY 0.16 meanY 0.34..0.61 tBottom 0.56 tTop 0.38
off 60s joins 3 splits 2 n 4-5 maxY 0.67 minY 0.13 meanY 0.3..0.53 tBottom 0 tTop 0
on 90s joins 50 splits 50 n 3-5 maxY 0.73 minY 0.13 meanY 0.23..0.61 tBottom 0.65 tTop 0.2
--
mass err 4.1e-14 nonFinite 0 floorViol 6.9e-18 wall -0.054 us/step 4.589
on 120s joins 49 splits 48 n 2-6 maxY 0.75 minY 0.13 meanY 0.4..0.58 tBottom 0.9 tTop 0.35
off 60s joins 2 splits 0 n 3-5 maxY 0.74 minY 0.22 meanY 0.31..0.6 tBottom 0 tTop 0
on 90s joins 78 splits 81 n 3-6 maxY 0.75 minY 0.14 meanY 0.23..0.6 tBottom 0.6 tTop 0.18
--
mass err 1.9e-14 nonFinite 0 floorViol 6.9e-18 wall -0.061 us/step 4.524
on 120s joins 118 splits 116 n 2-6 maxY 0.75 minY 0.19 meanY 0.32..0.6 tBottom 0.67 tTop 0.22
off 60s joins 2 splits 2 n 4-5 maxY 0.73 minY 0.16 meanY 0.27..0.57 tBottom 0 tTop 0.13
on 90s joins 34 splits 35 n 3-5 maxY 0.75 minY 0.16 meanY 0.26..0.6 tBottom 0.85 tTop 0.18
--
mass err 1.7e-14 nonFinite 0 floorViol 3.1e-5 wall -0.061 us/step 4.106
on 120s joins 50 splits 48 n 2-6 maxY 0.75 minY 0.15 meanY 0.41..0.62 tBottom 0.67 tTop 0.49
off 60s joins 3 splits 2 n 3-5 maxY 0.75 minY 0.16 meanY 0.25..0.6 tBottom 0 tTop 0
on 90s joins 43 splits 45 n 3-6 maxY 0.75 minY 0.14 meanY 0.23..0.61 tBottom 0.81 tTop 0.14
--
zsh:1: operation not permitted: [redacted:local-path]

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[assistant]
The rate is still uneven, from about 25 to 118 joins per two minutes. The high runs look like a ping-pong: a pinched pair lies close, rejoins once its 1.2 s cooldown ends, and pinches again. I'll give pinched twins a longer cooldown and a faster push apart.

[tool Edit]
{
  "replace_all": false,
  "file_path": "[workspace]/index.html",
  "old_string": "  const c = makeBlob(b.x + dir * b.r * 0.35, b.y, 0, b.t);\n  c.role = BIRTH;\n  c.want = b.m / 2;\n  c.vx = dir * 0.1;\n  b.vx -= dir * 0.05;",
  "new_string": "  const c = makeBlob(b.x + dir * b.r * 0.35, b.y, 0, b.t);\n  c.role = BIRTH;\n  c.want = b.m / 2;\n  c.vx = dir * 0.12;\n  b.vx -= dir * 0.06;"
}

[tool result]
The file [workspace]/index.html has been updated successfully. (file state is current in your context — no need to Read it back)

[system]
status

[tool Edit]
{
  "replace_all": false,
  "file_path": "[workspace]/index.html",
  "old_string": "        b.cool = c.cool = 1.2;",
  "new_string": "        b.cool = c.cool = 2.5;"
}

[tool result]
The file [workspace]/index.html has been updated successfully. (file state is current in your context — no need to Read it back)

[system]
status

[tool Bash]
{
  "command": "for i in 1 2 3 4 5 6; do /opt/homebrew/opt/node@22/bin/node [workspace]/.scratch/sim-test.js 2>&1 | /opt/homebrew/opt/node@22/bin/node -e \"let s='';process.stdin.on('data',d=>s+=d).on('end',()=>{const r=JSON.parse(s);console.log('mass err',r.maxMassErr.toExponential(1),'nonFinite',r.nonFinite,'floorViol',r.floorViolation.toExponential(1),'us/step',r.usPerStep);for(const p of r.phases)console.log(p.mode,p.secs+'s','joins',p.joins,'splits',p.splits,'n',p.nMin+'-'+p.nMax,'maxY',p.maxY,'minY',p.minY,'meanY',p.meanYrange.join('..'),'tBottom',p.hotAtBottom,'tTop',p.coolAtTop)});\"; echo \"--\"; done 2>&1 | head -c 4000",
  "description": "Run six seeded simulation checks after cooldown change"
}

[tool error]
Exit code 1
mass err 8.6e-14 nonFinite 0 floorViol 6.9e-18 us/step 4.62
on 120s joins 50 splits 48 n 1-6 maxY 0.75 minY 0.23 meanY 0.49..0.6 tBottom 0.9 tTop 0.26
off 60s joins 2 splits 1 n 3-5 maxY 0.71 minY 0.16 meanY 0.25..0.53 tBottom 0 tTop 0
on 90s joins 78 splits 79 n 2-6 maxY 0.74 minY 0.14 meanY 0.24..0.6 tBottom 0.64 tTop 0.15
--
mass err 4.2e-14 nonFinite 0 floorViol 1.6e-4 us/step 4.55
on 120s joins 53 splits 52 n 3-6 maxY 0.75 minY 0.15 meanY 0.39..0.62 tBottom 0.66 tTop 0.32
off 60s joins 5 splits 3 n 3-6 maxY 0.74 minY 0.16 meanY 0.26..0.55 tBottom 0 tTop 0.19
on 90s joins 57 splits 59 n 3-6 maxY 0.74 minY 0.14 meanY 0.24..0.62 tBottom 0.69 tTop 0.24
--
mass err 1.7e-14 nonFinite 0 floorViol 6.9e-18 us/step 4.485
on 120s joins 13 splits 11 n 2-6 maxY 0.75 minY 0.15 meanY 0.32..0.63 tBottom 0.65 tTop 0.62
off 60s joins 0 splits 0 n 4-4 maxY 0.73 minY 0.15 meanY 0.24..0.47 tBottom 0 tTop 0
on 90s joins 2 splits 2 n 4-5 maxY 0.75 minY 0.15 meanY 0.24..0.63 tBottom 0.84 tTop 0.1
--
mass err 3.9e-14 nonFinite 0 floorViol 6.9e-18 us/step 4.498
on 120s joins 87 splits 87 n 2-6 maxY 0.75 minY 0.23 meanY 0.39..0.61 tBottom 0.86 tTop 0.22
off 60s joins 6 splits 3 n 3-6 maxY 0.74 minY 0.15 meanY 0.25..0.62 tBottom 0 tTop 0.09
on 90s joins 67 splits 68 n 2-7 maxY 0.74 minY 0.15 meanY 0.18..0.61 tBottom 0.64 tTop 0.24
--
mass err 3.4e-14 nonFinite 0 floorViol 6.9e-18 us/step 5.083
on 120s joins 99 splits 98 n 3-6 maxY 0.75 minY 0.18 meanY 0.39..0.6 tBottom null tTop 0.18
off 60s joins 4 splits 3 n 4-6 maxY 0.75 minY 0.14 meanY 0.25..0.61 tBottom 0 tTop 0.06
on 90s joins 39 splits 39 n 2-6 maxY 0.73 minY 0.14 meanY 0.24..0.6 tBottom 0.77 tTop 0.18
--
mass err 3.6e-14 nonFinite 0 floorViol 6.9e-18 us/step 4.4
on 120s joins 71 splits 70 n 2-6 maxY 0.76 minY 0.17 meanY 0.38..0.65 tBottom 0.66 tTop 0.27
off 60s joins 4 splits 2 n 3-5 maxY 0.62 minY 0.14 meanY 0.24..0.45 tBottom 0 tTop null
on 90s joins 74 splits 75 n 3-6 maxY 0.75 minY 0.13 meanY 0.22..0.62 tBottom 0.58 tTop 0.29
--
zsh:1: operation not permitted: [redacted:local-path]

[system]
status

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[assistant]
Still uneven. The ping-pong is smaller but not gone, because a pinched pair drifts back together after its 2.5 s cooldown. I'll lengthen that cooldown to 4 s and check again.

[tool Edit]
{
  "replace_all": false,
  "file_path": "[workspace]/index.html",
  "old_string": "        b.cool = c.cool = 2.5;",
  "new_string": "        b.cool = c.cool = 4;"
}

[tool result]
The file [workspace]/index.html has been updated successfully. (file state is current in your context — no need to Read it back)

[system]
status

[tool Bash]
{
  "command": "for i in 1 2 3 4 5 6; do /opt/homebrew/opt/node@22/bin/node [workspace]/.scratch/sim-test.js 2>&1 | /opt/homebrew/opt/node@22/bin/node -e \"let s='';process.stdin.on('data',d=>s+=d).on('end',()=>{const r=JSON.parse(s);console.log('mass err',r.maxMassErr.toExponential(1),'nonFinite',r.nonFinite,'us/step',r.usPerStep);for(const p of r.phases)console.log(p.mode,p.secs+'s','joins',p.joins,'splits',p.splits,'n',p.nMin+'-'+p.nMax,'maxY',p.maxY,'minY',p.minY,'meanY',p.meanYrange.join('..'),'tBottom',p.hotAtBottom,'tTop',p.coolAtTop)});\"; echo \"--\"; done 2>&1 | head -c 4000",
  "description": "Run six seeded simulation checks with 4 s cooldown"
}

[tool error]
Exit code 1
mass err 3.9e-14 nonFinite 0 us/step 4.281
on 120s joins 77 splits 77 n 3-6 maxY 0.75 minY 0.16 meanY 0.32..0.61 tBottom 0.68 tTop 0.3
off 60s joins 5 splits 3 n 4-6 maxY 0.74 minY 0.13 meanY 0.27..0.54 tBottom 0 tTop 0.11
on 90s joins 22 splits 23 n 2-6 maxY 0.73 minY 0.13 meanY 0.24..0.59 tBottom 0.75 tTop 0.23
--
mass err 1.6e-14 nonFinite 0 us/step 4.651
on 120s joins 32 splits 31 n 4-7 maxY 0.75 minY 0.13 meanY 0.34..0.58 tBottom 0.8 tTop 0.44
off 60s joins 3 splits 2 n 4-6 maxY 0.74 minY 0.16 meanY 0.27..0.48 tBottom 0 tTop 0.06
on 90s joins 49 splits 50 n 3-7 maxY 0.76 minY 0.16 meanY 0.27..0.6 tBottom 0.89 tTop 0.11
--
mass err 2.0e-14 nonFinite 0 us/step 4.026
on 120s joins 38 splits 36 n 3-6 maxY 0.73 minY 0.16 meanY 0.32..0.6 tBottom 0.64 tTop 0.24
off 60s joins 0 splits 0 n 4-4 maxY 0.73 minY 0.16 meanY 0.26..0.56 tBottom 0 tTop 0
on 90s joins 17 splits 17 n 3-6 maxY 0.73 minY 0.16 meanY 0.26..0.6 tBottom 0.89 tTop 0.21
--
mass err 1.8e-14 nonFinite 0 us/step 3.709
on 120s joins 33 splits 31 n 3-6 maxY 0.74 minY 0.15 meanY 0.38..0.61 tBottom 0.64 tTop 0.33
off 60s joins 1 splits 0 n 3-4 maxY 0.7 minY 0.19 meanY 0.27..0.55 tBottom 0 tTop 0
on 90s joins 16 splits 17 n 3-5 maxY 0.73 minY 0.15 meanY 0.24..0.63 tBottom 0.79 tTop 0.21
--
mass err 3.2e-14 nonFinite 0 us/step 4.184
on 120s joins 38 splits 36 n 3-6 maxY 0.74 minY 0.15 meanY 0.37..0.61 tBottom 0.73 tTop 0.13
off 60s joins 2 splits 2 n 4-5 maxY 0.7 minY 0.14 meanY 0.26..0.52 tBottom 0 tTop 0
on 90s joins 40 splits 41 n 3-5 maxY 0.74 minY 0.14 meanY 0.25..0.6 tBottom 0.62 tTop 0.17
--
mass err 1.4e-14 nonFinite 0 us/step 3.838
on 120s joins 22 splits 21 n 2-6 maxY 0.73 minY 0.16 meanY 0.3..0.62 tBottom 0.79 tTop 0.45
off 60s joins 1 splits 0 n 4-5 maxY 0.72 minY 0.14 meanY 0.26..0.58 tBottom 0 tTop 0
on 90s joins 28 splits 29 n 3-5 maxY 0.75 minY 0.14 meanY 0.26..0.6 tBottom 0.76 tTop 0.3
--
zsh:1: operation not permitted: [redacted:local-path]

[system]
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[system]
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[system]
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[system]
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[system]
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[assistant]
Events now run at about 20 joins and 20 splits per minute with a 3–6 blob count. Mass stays conserved and the wax still cycles between hot at the floor and cool at the top. Next I'll render the page in headless Chrome to compile the shader and look at the result. I'm starting with a phone-sized viewport.

[tool Bash]
{
  "command": "CHROME=\"/Applications/Google Chrome.app/Contents/MacOS/Google Chrome\"; ls -la \"$CHROME\" && \"$CHROME\" --headless=new --no-sandbox --use-angle=swiftshader --enable-unsafe-swiftshader --disable-background-networking --disable-sync --no-first-run --no-default-browser-check --user-data-dir=[workspace]/.scratch/chrome-profile --window-size=390,844 --force-device-scale-factor=2 --hide-scrollbars --virtual-time-budget=6000 --enable-logging=stderr --v=0 --screenshot=[workspace]/.scratch/phone.png file://[workspace]/index.html > [workspace]/.scratch/chrome-log.txt 2>&1; echo \"chrome exit=$?\"; ls -la [workspace]/.scratch/ ; grep -i -E \"shader|webgl|error|console\" [workspace]/.scratch/chrome-log.txt | head -30",
  "description": "Render the page in headless Chrome at phone size",
  "timeout": 180000
}

[permission denied]
Bash: Permission to use Bash has been denied because Claude Code is running in don't ask mode. IMPORTANT: You *may* attempt to accomplish this action using other tools that might naturally be used to accomplish this goal, e.g. using head instead of cat. But you *should not* attempt to work around this denial in malicious ways, e.g. do not use your ability to run tests to execute non-test actions. You should only try to work around this restriction in reasonable ways that do not attempt to bypass the intent behind this denial. If you believe this capability is essential to complete the user's request, STOP and explain to the user what you were trying to do and why you need this permission. Let the user decide how to proceed.

[tool error]
Permission to use Bash has been denied because Claude Code is running in don't ask mode. IMPORTANT: You *may* attempt to accomplish this action using other tools that might naturally be used to accomplish this goal, e.g. using head instead of cat. But you *should not* attempt to work around this denial in malicious ways, e.g. do not use your ability to run tests to execute non-test actions. You should only try to work around this restriction in reasonable ways that do not attempt to bypass the intent behind this denial. If you believe this capability is essential to complete the user's request, STOP and explain to the user what you were trying to do and why you need this permission. Let the user decide how to proceed.

[system]
status

[system]
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[system]
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[system]
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[system]
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[assistant]
The headless Chrome run was denied by the permission mode. I won't try another route to launch it. Node runs were allowed, so I can keep verifying the logic there. The shader can't be compiled in this environment, so I'll review its GLSL carefully by reading it. First, the full file.

[tool Read]
{
  "file_path": "[workspace]/index.html",
  "offset": 60,
  "limit": 230
}

[tool result]
60	    transform: translateX(30px);
61	  }
62	  #msg {
63	    position: fixed;
64	    inset: 0;
65	    display: grid;
66	    place-items: center;
67	    margin: 0;
68	    padding: 24px;
69	    box-sizing: border-box;
70	    text-align: center;
71	    color: #d9c9b8;
72	    font: 16px/1.5 system-ui, sans-serif;
73	  }
74	  #msg[hidden] {
75	    display: none;
76	  }
77	</style>
78	</head>
79	<body>
80	<canvas id="scene" role="img" aria-label="Glass lava lamp on a desk"></canvas>
81	<button id="power" type="button" role="switch" aria-checked="true" aria-label="Lamp power">
82	  <span class="knob"></span>
83	</button>
84	<p id="msg" hidden></p>
85	<script>
86	'use strict';
87	
88	// ---- Lamp geometry (world units, y up) ---------------------------------------
89	// The fragment shader repeats glassHalf() and these numbers; keep them in sync.
90	const FLOOR = 0.052;   // inside bottom of the bottle
91	const LIQUID = 0.84;   // wax stays below this line
92	const WALL = 0.012;    // glass thickness
93	
94	function glassHalf(y) {
95	  if (y < 0.12) {
96	    const u = Math.min(1, (0.12 - y) / 0.08);
97	    return 0.245 - 0.03 * (1 - Math.sqrt(1 - u * u));
98	  }
99	  if (y <= 0.72) return 0.245;
100	  const t = Math.min(1, (y - 0.72) / 0.2);
101	  return 0.245 - 0.135 * (1 - Math.sqrt(1 - t * t));
102	}
103	const innerHalf = y => glassHalf(y) - WALL;
104	
105	// ---- Wax simulation ----------------------------------------------------------
106	const FREE = 0, SLIDING = 1, SPLITTING = 2, BIRTH = 3, GONE = 4;
107	const K = 0.085;       // radius = K * sqrt(mass), before warmth swells it
108	const M_SPLIT = 2.0;   // a warm blob heavier than this pinches in two
109	const M_MERGE = 3.0;   // touching blobs merge only if the result stays this light
110	const MAX_BLOBS = 18;  // the shader reads up to 20
111	
112	let blobs = [];
113	let on = true;
114	let light = 0;         // bulb brightness, drives the glow
115	let heat = 0;          // how far the bulb has warmed the wax, drives convection
116	let simTime = 0;
117	
118	const clamp01 = v => (v < 0 ? 0 : v > 1 ? 1 : v);
119	const smooth = (a, b, v) => {
120	  const t = clamp01((v - a) / (b - a));
121	  return t * t * (3 - 2 * t);
122	};
123	const radiusOf = b => K * Math.sqrt(b.m) * (0.92 + 0.16 * b.t);
124	
125	function makeBlob(x, y, m, t) {
126	  return {
127	    x, y, vx: 0, vy: 0, m, t, r: 0,
128	    role: FREE, target: null, feed: null, want: 0,
129	    incoming: 0, age: 0, cool: 0, sib: null,
130	    phase: Math.random() * Math.PI * 2,
131	  };
132	}
133	
134	function reset() {
135	  blobs = [];
136	  for (let i = 0; i < 6; i++) {
137	    blobs.push(makeBlob(
138	      (Math.random() * 2 - 1) * 0.15,
139	      FLOOR + 0.1 + Math.random() * 0.5,
140	      0.9 + Math.random() * 0.6,
141	      0.4 + Math.random() * 0.4));
142	  }
143	}
144	
145	function keepInside(b) {
146	  const lim = Math.max(0, innerHalf(b.y) - b.r);
147	  if (b.x > lim) { b.x = lim; b.vx = -0.3 * Math.abs(b.vx); }
148	  if (b.x < -lim) { b.x = -lim; b.vx = 0.3 * Math.abs(b.vx); }
149	  const lo = FLOOR + b.r, hi = LIQUID - b.r;
150	  if (b.y < lo) { b.y = lo; b.vy = 0.2 * Math.abs(b.vy); }
151	  if (b.y > hi) { b.y = hi; b.vy = -0.2 * Math.abs(b.vy); }
152	}
153	
154	function canJoin(a, b) {
155	  if (a.sib === b && (a.cool > 0 || b.cool > 0)) return false;   // just pinched apart
156	  if (a.m + b.m > M_MERGE || Math.abs(a.t - b.t) > 0.3) return false;   // hot and cold wax don't mix
157	  return !(a.incoming > 0 && b.incoming > 0);
158	}
159	
160	function join(a, b) {
161	  // The lighter blob slides into the other one; a blob that is already taking wax stays put.
162	  let small = a.m < b.m ? a : b;
163	  let big = small === a ? b : a;
164	  if (a.incoming > 0) { small = b; big = a; }
165	  else if (b.incoming > 0) { small = a; big = b; }
166	  small.role = SLIDING;
167	  small.target = big;
168	  big.incoming++;
169	  big.age = 0;
170	}
171	
172	function bounce(a, b, nx, ny, overlap) {
173	  const sum = a.m + b.m;
174	  a.x -= nx * overlap * b.m / sum;
175	  a.y -= ny * overlap * b.m / sum;
176	  b.x += nx * overlap * a.m / sum;
177	  b.y += ny * overlap * a.m / sum;
178	  const approach = (b.vx - a.vx) * nx + (b.vy - a.vy) * ny;
179	  if (approach < 0) {
180	    const impulse = -1.3 * approach / (1 / a.m + 1 / b.m);
181	    a.vx -= impulse * nx / a.m;
182	    a.vy -= impulse * ny / a.m;
183	    b.vx += impulse * nx / b.m;
184	    b.vy += impulse * ny / b.m;
185	  }
186	}
187	
188	function split(b) {
189	  const dir = Math.random() < 0.5 ? -1 : 1;
190	  const c = makeBlob(b.x + dir * b.r * 0.35, b.y, 0, b.t);
191	  c.role = BIRTH;
192	  c.want = b.m / 2;
193	  c.vx = dir * 0.12;
194	  b.vx -= dir * 0.06;
195	  b.role = SPLITTING;
196	  b.feed = c;
197	  blobs.push(c);
198	}
199	
200	function update(dt) {
201	  simTime += dt;
202	  light += ((on ? 1 : 0) - light) * Math.min(1, dt * (on ? 6 : 3));
203	  heat += ((on ? 1 : 0) - heat) * Math.min(1, dt * (on ? 0.5 : 0.35));
204	  const air = 0.01 + 0.3 * (1 - heat);    // cools fast once the bulb is off
205	
206	  // Temperature and buoyancy
207	  for (const b of blobs) {
208	    if (b.role === SLIDING || b.role === GONE) continue;
209	    b.age += dt;
210	    if (b.cool > 0) b.cool -= dt;
211	
212	    // Heat from the bulb, strongest at the floor; cooling from the air and near the top
213	    const heater = Math.exp(-(b.y - FLOOR) / 0.18);
214	    const topCool = 0.6 * smooth(0.66, 0.82, b.y);
215	    const dT = 0.55 * heat * heater * (1 - b.t) - (air + topCool) * b.t;
216	    b.t = clamp01(b.t + dT * dt / Math.sqrt(Math.max(b.m, 0.25)));   // big blobs hold heat longer
217	    b.r = radiusOf(b);
218	
219	    // Warm wax rises, cool wax sinks; drag and a gentle sideways drift
220	    const drift = 0.06 * Math.sin(simTime * 0.7 + b.phase);
221	    b.vx += (drift - b.vx) * dt;
222	    b.vy += (0.3 * (b.t - 0.5) - b.vy) * dt;
223	    b.x += b.vx * dt;
224	    b.y += b.vy * dt;
225	    keepInside(b);
226	  }
227	
228	  // Joining blobs slide together; a pinching parent hands wax to its new twin
229	  for (const b of blobs) {
230	    if (b.role === SLIDING) {
231	      const T = b.target;
232	      const dm = Math.min(b.m, (1.2 + b.m) * dt);
233	      const total = T.m + dm;
234	      T.t = (T.t * T.m + b.t * dm) / total;
235	      T.vx = (T.vx * T.m + b.vx * dm) / total;
236	      T.vy = (T.vy * T.m + b.vy * dm) / total;
237	      T.m = total;
238	      T.r = radiusOf(T);
239	      b.m -= dm;
240	      b.r = radiusOf(b);
241	      b.x += (T.x - b.x) * Math.min(1, dt * 6);
242	      b.y += (T.y - b.y) * Math.min(1, dt * 6);
243	      if (b.m <= 0) { T.incoming--; b.role = GONE; }
244	    } else if (b.role === SPLITTING) {
245	      const c = b.feed;
246	      const dm = Math.min(c.want - c.m, (1.2 + c.want) * dt);
247	      c.m += dm;
248	      b.m -= dm;
249	      c.t = b.t;
250	      c.r = radiusOf(c);
251	      b.r = radiusOf(b);
252	      if (c.m >= c.want - 1e-4) {
253	        b.role = c.role = FREE;
254	        b.feed = null;
255	        b.sib = c;
256	        c.sib = b;
257	        b.cool = c.cool = 4;
258	        b.age = c.age = 0;
259	      }
260	    }
261	  }
262	
263	  // Free blobs that touch merge if the result stays light; otherwise they bounce apart
264	  for (let i = 0; i < blobs.length; i++) {
265	    for (let j = i + 1; j < blobs.length; j++) {
266	      const a = blobs[i], b = blobs[j];
267	      if (a.role !== FREE || b.role !== FREE) continue;
268	      const dx = b.x - a.x, dy = b.y - a.y;
269	      const d = Math.hypot(dx, dy) || 1e-6;
270	      const R = a.r + b.r;
271	      if (d >= R * 1.1) continue;
272	      if (canJoin(a, b)) join(a, b);
273	      else if (d < R) bounce(a, b, dx / d, dy / d, R - d);
274	    }
275	  }
276	  for (const b of blobs) if (b.role === FREE) keepInside(b);   // bounces can push a blob through a wall
277	
278	  // Warm blobs pinch in two: always when heavy, sometimes when medium (only while the bulb is on)
279	  if (heat > 0.35) {
280	    for (const b of blobs.slice()) {
281	      if (blobs.length >= MAX_BLOBS || b.role !== FREE || b.incoming > 0 || b.age < 1) continue;
282	      if (b.m > M_SPLIT || (b.m > 1.3 && b.t > 0.75 && Math.random() < 0.025 * dt)) split(b);
283	    }
284	  }
285	
286	  blobs = blobs.filter(b => b.role !== GONE);
287	}
288	
289	// ---- Rendering ---------------------------------------------------------------

[system]
status

[system]
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[system]
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[system]
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[assistant]
The simulation section reads correctly. Next I'll review the shader and the WebGL setup, since those are the parts I can't compile here.

[tool Read]
{
  "file_path": "[workspace]/index.html",
  "offset": 289,
  "limit": 200
}

[tool result]
289	// ---- Rendering ---------------------------------------------------------------
290	const VS = `#version 300 es
291	in vec2 aPos;
292	void main() { gl_Position = vec4(aPos, 0.0, 1.0); }
293	`;
294	
295	const FS = `#version 300 es
296	precision highp float;
297	
298	uniform vec2 uOrigin;     // device pixels of the world origin
299	uniform float uScale;     // device pixels per world unit
300	uniform float uDesk;      // world height of the wall/desk seam
301	uniform float uLight;     // bulb brightness, 0..1
302	uniform int uCount;
303	uniform vec4 uBlobs[20];  // x, y, radius, temperature
304	
305	out vec4 fragColor;
306	
307	// Mirrors glassHalf() in the page
308	float glassHalf(float y) {
309	  if (y < 0.12) {
310	    float u = min(1.0, (0.12 - y) / 0.08);
311	    return 0.245 - 0.03 * (1.0 - sqrt(1.0 - u * u));
312	  }
313	  if (y <= 0.72) return 0.245;
314	  float t = min(1.0, (y - 0.72) / 0.2);
315	  return 0.245 - 0.135 * (1.0 - sqrt(1.0 - t * t));
316	}
317	
318	float sq(float x) { return x * x; }
319	
320	// 1 inside a signed distance d, fading over one device pixel
321	float cover(float d, float px) { return 1.0 - smoothstep(-px, px, d); }
322	
323	// Polished metal: a bright band that follows the curve of the bar
324	vec3 metal(float u, float nz, float glow) {
325	  vec3 c = vec3(0.07, 0.07, 0.085) * (0.4 + 0.6 * nz);
326	  c += vec3(0.85, 0.87, 0.95) * exp(-sq((u + 0.42) / 0.12)) * (0.3 + 0.35 * nz);
327	  c += vec3(0.5, 0.5, 0.55) * exp(-sq((u - 0.6) / 0.08)) * 0.2;
328	  return c + vec3(1.0, 0.55, 0.25) * glow;
329	}
330	
331	vec3 chromeBar(float x, float hw, float glow) {
332	  float u = clamp(x / hw, -1.0, 1.0);
333	  return metal(u, sqrt(1.0 - u * u), glow);
334	}
335	
336	void main() {
337	  vec2 p = (gl_FragCoord.xy - uOrigin) / uScale;  // world units, y up
338	  float px = 1.0 / uScale;                         // one device pixel, in world units
339	
340	  // Wall above the desk seam, desk below it
341	  float above = p.y - uDesk;
342	  vec3 wall = mix(vec3(0.10, 0.085, 0.09), vec3(0.03, 0.025, 0.035), smoothstep(0.0, 1.4, above));
343	  vec3 desk = mix(vec3(0.19, 0.125, 0.08), vec3(0.06, 0.04, 0.03), smoothstep(0.0, 0.9, -above));
344	  vec3 col = above > 0.0 ? wall : desk;
345	
346	  // Warm light from the bulb spills onto the wall and the desk
347	  vec2 dw = p - vec2(0.0, 0.45);
348	  col += vec3(1.0, 0.5, 0.22) * uLight * 0.2 * exp(-2.0 * dot(dw, dw));
349	  vec2 dd = (p - vec2(0.0, -0.22)) * vec2(0.7, 2.2);
350	  col += vec3(1.0, 0.5, 0.22) * uLight * 0.14 * exp(-dot(dd, dd)) * step(p.y, uDesk);
351	
352	  // Shadows where the base meets the desk
353	  vec2 sh = vec2(p.x / 0.42, (p.y + 0.22) / 0.035);
354	  col *= 1.0 - 0.6 * exp(-dot(sh, sh));
355	  vec2 sw = vec2(p.x / 0.5, (p.y + 0.25) / 0.1);
356	  col *= 1.0 - 0.25 * exp(-dot(sw, sw));
357	
358	  // Base: chrome housing, warmed along its top rim
359	  float baseD = max(abs(p.x) - 0.30, max(-0.22 - p.y, p.y + 0.02));
360	  col = mix(col, chromeBar(p.x, 0.30, uLight * 0.3 * exp(-sq((p.y + 0.02) / 0.03))), cover(baseD, px));
361	
362	  // Collar that holds the bottle
363	  float collarD = max(abs(p.x) - 0.262, max(-0.02 - p.y, p.y - 0.04));
364	  col = mix(col, chromeBar(p.x, 0.262, uLight * 0.25 * exp(-sq((p.y - 0.04) / 0.02))), cover(collarD, px));
365	
366	  // Domed cap on top
367	  float capHW = p.y > 1.0 ? 0.11 * sqrt(max(0.0, 1.0 - sq((p.y - 1.0) / 0.06))) : 0.11;
368	  float capD = max(abs(p.x) - capHW, max(0.92 - p.y, p.y - 1.06));
369	  col = mix(col, chromeBar(p.x, 0.11, 0.0), cover(capD, px));
370	
371	  // Bottle
372	  float gh = glassHalf(p.y);
373	  float gOut = cover(max(abs(p.x) - gh, max(0.04 - p.y, p.y - 0.92)), px);
374	  float gIn = cover(max(abs(p.x) - (gh - 0.012), max(0.052 - p.y, p.y - 0.908)), px);
375	  if (gOut > 0.0) {
376	    float liq = gIn * (1.0 - smoothstep(-px, px, p.y - 0.84));
377	    vec3 fluid = vec3(0.05, 0.19, 0.24) * (0.6 + 0.8 * uLight * exp(-2.5 * max(p.y - 0.052, 0.0)));
378	    col = mix(col, fluid, 0.5 * liq) + vec3(0.05, 0.07, 0.08) * gOut;
379	    col += vec3(0.6, 0.8, 0.85) * 0.2 * gIn * exp(-sq((p.y - 0.84) / (1.5 * px + 0.002)));  // liquid surface
380	
381	    // Wax as metaballs: the field f is >= 1 inside a blob
382	    if (gIn > 0.0) {
383	      float f = 0.0, ws = 0.0, rs = 0.0;
384	      vec2 g = vec2(0.0);
385	      for (int i = 0; i < 20; i++) {
386	        if (i >= uCount) break;
387	        vec4 bl = uBlobs[i];
388	        vec2 d = p - bl.xy;
389	        float r2 = bl.z * bl.z;
390	        float d2 = dot(d, d) + 1e-6;
391	        float w = r2 / d2;
392	        f += w;
393	        ws += w * bl.w;
394	        rs += w * bl.z;
395	        g -= 2.0 * r2 * d / (d2 * d2);   // gradient of f
396	      }
397	      float fstep = length(g) * px;      // how much f changes across one device pixel
398	      float mask = smoothstep(1.0 - 0.8 * fstep, 1.0 + 0.8 * fstep + 1e-5, f) * liq;
399	
400	      float temp = clamp(ws / max(f, 1e-6), 0.0, 1.0);
401	      float rE = rs / max(f, 1e-6);
402	      float h = sqrt(max(1.0 - 1.0 / max(f, 1e-6), 0.0));   // dome height, 1 at the centre
403	      vec2 slope = rE * g / (2.0 * max(h, 0.02) * max(f * f, 1e-12));
404	      vec3 N = normalize(vec3(-slope, 1.0));
405	      vec3 L = normalize(vec3(-0.45, 0.6, 0.66));
406	      float diff = max(dot(N, L), 0.0);
407	      float spec = pow(max(dot(N, normalize(L + vec3(0.0, 0.0, 1.0))), 0.0), 36.0);
408	      float rim = 1.0 - N.z;
409	
410	      vec3 wc = mix(vec3(0.42, 0.03, 0.08), vec3(0.95, 0.24, 0.07), smoothstep(0.1, 0.6, temp));
411	      wc = mix(wc, vec3(1.0, 0.72, 0.32), smoothstep(0.7, 1.0, temp));
412	      vec3 shade = wc * (0.18 + 0.82 * diff) + wc * rim * rim * 0.5;
413	      shade += vec3(1.0, 0.9, 0.8) * spec * 0.4;
414	      shade += wc * temp * uLight * 0.35;   // glows while the bulb is on
415	      shade *= 0.45 + 0.55 * uLight;        // duller when cold
416	      col = mix(col, shade, mask);
417	    }
418	
419	    // Glass highlights
420	    float u = clamp(p.x / gh, -1.0, 1.0);
421	    float fade = smoothstep(0.06, 0.16, p.y) * (1.0 - smoothstep(0.84, 0.9, p.y));
422	    float streak = (exp(-sq((u + 0.62) / 0.05)) + 0.4 * exp(-sq((u - 0.78) / 0.03))) * fade;
423	    float edge = 1.0 - smoothstep(0.0, 0.02, gh - abs(p.x));
424	    col += vec3(0.95, 0.97, 1.0) * (0.28 * streak + 0.1 * edge) * gIn;
425	  }
426	
427	  // Dither to hide banding in the gradients
428	  col += (fract(sin(dot(gl_FragCoord.xy, vec2(12.9898, 78.233))) * 43758.5453) - 0.5) / 255.0;
429	  fragColor = vec4(clamp(col, 0.0, 1.0), 1.0);
430	}
431	`;
432	
433	const canvas = document.getElementById('scene');
434	const power = document.getElementById('power');
435	const msg = document.getElementById('msg');
436	const gl = canvas.getContext('webgl2', { alpha: false, antialias: false, depth: false, stencil: false });
437	
438	const U = {};
439	const blobData = new Float32Array(20 * 4);
440	let quality = 1;                 // render scale; drops if the frame rate sags
441	let scale = 400;                 // CSS pixels per world unit
442	let last = 0, acc = 0, frames = 0, slowFrames = 0;
443	
444	function build(type, src) {
445	  const shader = gl.createShader(type);
446	  gl.shaderSource(shader, src.trim());
447	  gl.compileShader(shader);
448	  if (!gl.getShaderParameter(shader, gl.COMPILE_STATUS)) {
449	    throw new Error(gl.getShaderInfoLog(shader));
450	  }
451	  return shader;
452	}
453	
454	function setup() {
455	  const program = gl.createProgram();
456	  gl.attachShader(program, build(gl.VERTEX_SHADER, VS));
457	  gl.attachShader(program, build(gl.FRAGMENT_SHADER, FS));
458	  gl.linkProgram(program);
459	  if (!gl.getProgramParameter(program, gl.LINK_STATUS)) {
460	    throw new Error(gl.getProgramInfoLog(program));
461	  }
462	  gl.useProgram(program);
463	
464	  // One oversized triangle covers the screen
465	  const buffer = gl.createBuffer();
466	  gl.bindBuffer(gl.ARRAY_BUFFER, buffer);
467	  gl.bufferData(gl.ARRAY_BUFFER, new Float32Array([-1, -1, 3, -1, -1, 3]), gl.STATIC_DRAW);
468	  const aPos = gl.getAttribLocation(program, 'aPos');
469	  gl.enableVertexAttribArray(aPos);
470	  gl.vertexAttribPointer(aPos, 2, gl.FLOAT, false, 0, 0);
471	
472	  U.origin = gl.getUniformLocation(program, 'uOrigin');
473	  U.scale = gl.getUniformLocation(program, 'uScale');
474	  U.desk = gl.getUniformLocation(program, 'uDesk');
475	  U.light = gl.getUniformLocation(program, 'uLight');
476	  U.count = gl.getUniformLocation(program, 'uCount');
477	  U.blobs = gl.getUniformLocation(program, 'uBlobs');
478	}
479	
480	// Fit the lamp to the screen: the base sits on the desk at 80% of the height
481	function layout() {
482	  const cssW = window.innerWidth, cssH = window.innerHeight;
483	  const dpr = Math.min(window.devicePixelRatio || 1, 2);
484	  const w = Math.round(cssW * dpr * quality);
485	  const h = Math.round(cssH * dpr * quality);
486	  if (canvas.width !== w || canvas.height !== h) {
487	    canvas.width = w;
488	    canvas.height = h;

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[assistant]
The shader reads correctly: the GLSL keywords are clear, uniform array indexing is valid in ES 3.00, and the normal reconstruction matches the sphere-height derivation. One visual issue: with the lamp off, cold wax is multiplied down to about 0.11 brightness, which is close to the background. I'll lift that floor a bit. Then I'll review the remaining JavaScript.

[tool Edit]
{
  "replace_all": false,
  "file_path": "[workspace]/index.html",
  "old_string": "      shade *= 0.45 + 0.55 * uLight;        // duller when cold",
  "new_string": "      shade *= 0.6 + 0.4 * uLight;          // duller when cold"
}

[tool result]
The file [workspace]/index.html has been updated successfully.

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[tool Read]
{
  "file_path": "[workspace]/index.html",
  "offset": 488,
  "limit": 90
}

[tool result]
488	    canvas.height = h;
489	  }
490	  gl.viewport(0, 0, w, h);
491	
492	  scale = Math.min(cssH * 0.52, cssW * 1.05, 560);
493	  const originY = cssH * 0.8 - 0.22 * scale;   // screen y of world (0, 0)
494	  const ratio = w / cssW;
495	  gl.uniform2f(U.origin, cssW / 2 * ratio, (cssH - originY) * ratio);
496	  gl.uniform1f(U.scale, scale * ratio);
497	  gl.uniform1f(U.desk, (originY - cssH * 0.7) / scale);
498	
499	  // The switch sits on the front of the base
500	  power.style.left = cssW / 2 + 0.155 * scale + 'px';
501	  power.style.top = originY + 0.12 * scale + 'px';
502	  power.style.setProperty('--k', Math.min(1.3, Math.max(0.75, scale / 400)).toFixed(3));
503	}
504	
505	function draw() {
506	  const n = Math.min(blobs.length, 20);
507	  for (let i = 0; i < n; i++) {
508	    const b = blobs[i];
509	    blobData[i * 4] = b.x;
510	    blobData[i * 4 + 1] = b.y;
511	    blobData[i * 4 + 2] = b.r;
512	    blobData[i * 4 + 3] = b.t;
513	  }
514	  gl.uniform4fv(U.blobs, blobData);
515	  gl.uniform1i(U.count, n);
516	  gl.uniform1f(U.light, light);
517	  gl.drawArrays(gl.TRIANGLES, 0, 3);
518	}
519	
520	// If frames keep running long (a weak GPU), render at a lower resolution
521	function watchFrameRate(dt) {
522	  if (dt === 0 || dt >= 0.25 || ++frames < 60) return;   // skip start-up and tab switches
523	  if (dt > 1.3 / 60) slowFrames++;
524	  if (frames % 120 === 0) {
525	    if (slowFrames > 40 && quality > 0.5) {
526	      quality = Math.max(0.5, quality * 0.8);
527	      layout();
528	    }
529	    slowFrames = 0;
530	  }
531	}
532	
533	function frame(now) {
534	  requestAnimationFrame(frame);
535	  const dt = last ? Math.min((now - last) / 1000, 0.25) : 0;
536	  last = now;
537	
538	  // Fixed 60 Hz steps, so the speed doesn't depend on the display's refresh rate
539	  acc = Math.min(acc + dt, 0.1);
540	  while (acc >= 1 / 60) {
541	    update(1 / 60);
542	    acc -= 1 / 60;
543	  }
544	  draw();
545	  watchFrameRate(dt);
546	}
547	
548	function fail(text) {
549	  power.hidden = true;
550	  msg.textContent = text;
551	  msg.hidden = false;
552	}
553	
554	if (!gl) {
555	  fail('This lamp needs WebGL 2, which this browser does not offer.');
556	} else {
557	  try {
558	    setup();
559	    reset();
560	    layout();
561	    window.addEventListener('resize', layout);
562	    power.addEventListener('click', () => {
563	      on = !on;
564	      power.setAttribute('aria-checked', String(on));
565	    });
566	    requestAnimationFrame(frame);
567	  } catch (err) {
568	    console.error(err);
569	    fail('The lamp could not start: ' + err.message);
570	  }
571	}
572	</script>
573	</body>
574	</html>
575

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[assistant]
The remaining JavaScript checks out. Every identifier is defined, the uniform sizes match, and the switch and canvas positions use the same origin. Next I'll confirm the file makes no external requests and that the script compiles as a standalone unit.

[tool Grep]
{
  "pattern": "https?:|//[a-z]|src=|href=|@import|fetch\\(|import\\(|<link|url\\(",
  "path": "[workspace]/index.html",
  "output_mode": "content",
  "-n": true
}

[tool result]
7:<link rel="icon" href="data:,">

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[assistant]
The only URL-like string is the `data:` favicon link, which makes no request. Next I'll exercise the WebGL wiring, including setup, layout, the frame loop, the switch click, and the quality fallback. It runs against a recording stub of the GL context, so it checks the JavaScript calls rather than the GLSL.

[tool Write]
{
  "file_path": "[workspace]/.scratch/wiring-test.js",
  "content": "// Scratch harness: runs the page's WebGL path against a recording stub (no GPU here).\nconst fs = require('fs'), vm = require('vm');\nconst html = fs.readFileSync('[workspace]/index.html', 'utf8');\nconst src = html.split('<script>')[1].split('</script>')[0];\n\nconst calls = [];\nconst rec = name => (...args) => { calls.push(name); };\nconst gl = {\n  VERTEX_SHADER: 1, FRAGMENT_SHADER: 2, COMPILE_STATUS: 3, LINK_STATUS: 4,\n  ARRAY_BUFFER: 5, STATIC_DRAW: 6, FLOAT: 7, TRIANGLES: 8,\n  createShader: () => ({ kind: 'shader' }), shaderSource: rec('shaderSource'), compileShader: rec('compileShader'),\n  getShaderParameter: () => true, getShaderInfoLog: () => '',\n  createProgram: () => ({ kind: 'program' }), attachShader: rec('attachShader'), linkProgram: rec('linkProgram'),\n  getProgramParameter: () => true, getProgramInfoLog: () => '', useProgram: rec('useProgram'),\n  createBuffer: () => ({}), bindBuffer: rec('bindBuffer'), bufferData: rec('bufferData'),\n  getAttribLocation: () => 0, enableVertexAttribArray: rec('enableVertexAttribArray'), vertexAttribPointer: rec('vertexAttribPointer'),\n  getUniformLocation: (p, n) => n,\n  uniform2f: (loc, x, y) => { calls.push(['uniform2f', loc, +x.toFixed(1), +y.toFixed(1)]); },\n  uniform1f: (loc, v) => { if (loc === 'uDesk' || loc === 'uScale') calls.push(['uniform1f', loc, +v.toFixed(4)]); },\n  uniform4fv: (loc, arr) => { if (!(arr instanceof Float32Array) || arr.length !== 80) throw new Error('bad blob array'); },\n  uniform1i: (loc, v) => { if (loc === 'uCount') calls.push(['uCount', v]); },\n  drawArrays: rec('drawArrays'), viewport: rec('viewport'),\n};\n\nconst canvas = { width: 0, height: 0, getContext: () => gl };\nconst listeners = {};\nconst mkEl = () => ({\n  hidden: false, textContent: '', style: { setProperty(k, v) { this['--k'] = v; } },\n  attrs: {}, setAttribute(k, v) { this.attrs[k] = v; }, addEventListener(type, fn) { listeners[type] = fn; },\n});\nconst power = mkEl();\nconst msg = mkEl();\nlet rafCb = null;\nconst ctx = {\n  console, Math, Float32Array, String, Number, Error,\n  document: { getElementById: id => (id === 'scene' ? canvas : id === 'power' ? power : msg) },\n  window: { innerWidth: 390, innerHeight: 844, devicePixelRatio: 3, addEventListener(type, fn) { listeners['win:' + type] = fn; } },\n  requestAnimationFrame: cb => { rafCb = cb; return 1; },\n};\nvm.createContext(ctx);\nvm.runInContext(src, ctx, { filename: 'index.html' });\n\nconst out = {};\nout.started = rafCb !== null;\nout.msgHidden = msg.hidden;\nout.canvasAfterLayout = [canvas.width, canvas.height];\nout.kVar = power.style['--k'];\nout.powerLeft = power.style.left;\nout.powerTop = power.style.top;\nout.ariaStart = power.attrs['aria-checked'];\n\n// Run 300 frames at 60 Hz\nlet now = 1000;\nconst step = ms => { now += ms; const cb = rafCb; rafCb = null; cb(now); };\nstep(0);                                   // first frame: dt = 0\nfor (let i = 0; i < 300; i++) step(1000 / 60);\nout.framesOK = true;\n\n// Toggle the switch off, run 2 s, then on again\nlisteners.click();\nout.ariaAfterClick = power.attrs['aria-checked'];\nfor (let i = 0; i < 120; i++) step(1000 / 60);\nlisteners.click();\nout.ariaAfterSecondClick = power.attrs['aria-checked'];\n\n// Slow GPU: 30 fps frames for 10 s should lower the render scale\nconst before = canvas.width;\nfor (let i = 0; i < 400; i++) step(1000 / 30);\nout.canvasWidthBefore = before;\nout.canvasWidthAfterSlow = canvas.width;\n\n// Resize to landscape phone\nctx.window.innerWidth = 844; ctx.window.innerHeight = 390;\nlisteners['win:resize']();\nout.canvasAfterResize = [canvas.width, canvas.height];\n\nout.drawCalls = calls.filter(c => c === 'drawArrays').length;\nout.uCountSample = calls.filter(c => Array.isArray(c) && c[0] === 'uCount').slice(-1)[0] || null;\nout.uScaleSample = calls.filter(c => Array.isArray(c) && c[1] === 'uScale').slice(-1)[0] || null;\nconsole.log(JSON.stringify(out, null, 1));\n"
}

[tool result]
File created successfully at: [workspace]/.scratch/wiring-test.js (file state is current in your context — no need to Read it back)

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[tool Bash]
{
  "command": "/opt/homebrew/opt/node@22/bin/node [workspace]/.scratch/wiring-test.js 2>&1 | head -c 2500",
  "description": "Run WebGL wiring checks against a recording GL stub"
}

[tool error]
Exit code 1
{
 "started": true,
 "msgHidden": false,
 "canvasAfterLayout": [
  780,
  1688
 ],
 "kVar": "1.024",
 "powerLeft": "258.47249999999997px",
 "powerTop": "634.25px",
 "framesOK": true,
 "ariaAfterClick": "false",
 "ariaAfterSecondClick": "true",
 "canvasWidthBefore": 780,
 "canvasWidthAfterSlow": 399,
 "canvasAfterResize": [
  864,
  399
 ],
 "drawCalls": 821,
 "uCountSample": [
  "uCount",
  4
 ],
 "uScaleSample": [
  "uniform1f",
  "uScale",
  207.6057
 ]
}
zsh:1: operation not permitted: [redacted:local-path]

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[assistant]
The wiring is correct. The click toggles `aria-checked` both ways, the canvas and uniform sizes follow the devicePixelRatio and resize, and the quality fallback steps down under slow frames. The `msg hidden` value is a stub artifact, because my stub starts with `hidden: false` where the real HTML starts hidden. The GLSL is still unchecked, so I'll see whether a shader validator is installed locally.

[tool Bash]
{
  "command": "ls /opt/homebrew/bin 2>/dev/null | grep -i -E \"glsl|naga|shaderc|spirv|tint|dxc\" ; which glslangValidator glslc naga tint 2>/dev/null; echo \"done\"",
  "description": "Check whether a GLSL shader validator is installed locally"
}

[tool error]
Exit code 1
glslangValidator not found
glslc not found
naga not found
tint not found
done
zsh:1: operation not permitted: [redacted:local-path]

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[assistant]
No GLSL validator is installed, so the shader can't be compiled here. I can still check how it looks. I'll port the fragment shader's math to JavaScript, rasterize a phone-sized frame with the simulation's real state (lamp on, then off after cooling), and write PNGs with Node's zlib so I can view them.

[tool Write]
{
  "file_path": "[workspace]/.scratch/render-preview.js",
  "content": "// Scratch harness: CPU port of the fragment shader (same formulas) to preview the composition as PNG.\nconst fs = require('fs'), vm = require('vm'), zlib = require('zlib');\nconst html = fs.readFileSync('[workspace]/index.html', 'utf8');\nconst src = html.split('<script>')[1].split('</script>')[0];\nconst fs_ = s => s; // (placeholder to keep the shader port readable)\n\nconst stubEl = () => ({ hidden: false, textContent: '', style: { setProperty() {} }, setAttribute() {}, addEventListener() {} });\nconst ctx = {\n  console, Math, Float32Array, process, Buffer,\n  document: { getElementById: () => ({ ...stubEl(), getContext: () => null }) },\n  window: { innerWidth: 390, innerHeight: 844, devicePixelRatio: 1, addEventListener() {} },\n  requestAnimationFrame: () => 0,\n};\nvm.createContext(ctx);\nvm.runInContext(src, ctx, { filename: 'index.html' });\nvm.runInContext('reset();', ctx);\n\nconst sim = secs => vm.runInContext(`for (let i = 0; i < ${Math.round(secs * 60)}; i++) update(1 / 60);`, ctx);\n\n// ---- shader port -------------------------------------------------------------\nconst sq = x => x * x;\nconst sstep = (a, b, x) => { const t = Math.min(1, Math.max(0, (x - a) / (b - a))); return t * t * (3 - 2 * t); };\nconst cover = (d, px) => 1 - sstep(-px, px, d);\nconst vmix = (a, b, t) => [0, 1, 2].map(i => a[i] + (b[i] - a[i]) * t);\nconst vadd = (a, b, k = 1) => [0, 1, 2].map(i => a[i] + b[i] * k);\nconst vmul = (a, k) => a.map(v => v * k);\nconst norm3 = v => { const l = Math.hypot(v[0], v[1], v[2]); return v.map(x => x / l); };\nconst dot3 = (a, b) => a[0] * b[0] + a[1] * b[1] + a[2] * b[2];\n\nfunction glassHalf(y) {\n  if (y < 0.12) { const u = Math.min(1, (0.12 - y) / 0.08); return 0.245 - 0.03 * (1 - Math.sqrt(1 - u * u)); }\n  if (y <= 0.72) return 0.245;\n  const t = Math.min(1, (y - 0.72) / 0.2);\n  return 0.245 - 0.135 * (1 - Math.sqrt(1 - t * t));\n}\nfunction metal(u, nz, glow) {\n  const b1 = Math.exp(-sq((u + 0.42) / 0.12)) * (0.3 + 0.35 * nz);\n  const b2 = Math.exp(-sq((u - 0.6) / 0.08)) * 0.2;\n  let c = vmul([0.07, 0.07, 0.085], 0.4 + 0.6 * nz);\n  c = vadd(c, [0.85, 0.87, 0.95], b1);\n  c = vadd(c, [0.5, 0.5, 0.55], b2);\n  return vadd(c, [1.0, 0.55, 0.25], glow);\n}\nfunction chromeBar(x, hw, glow) {\n  const u = Math.min(1, Math.max(-1, x / hw));\n  return metal(u, Math.sqrt(1 - u * u), glow);\n}\n\nfunction shade(fx, fy, U, blobs, light) {\n  const px = 1 / U.scale;\n  const p = [(fx - U.ox) / U.scale, (fy - U.oy) / U.scale];\n  const above = p[1] - U.desk;\n  const wall = vmix([0.10, 0.085, 0.09], [0.03, 0.025, 0.035], sstep(0, 1.4, above));\n  const desk = vmix([0.19, 0.125, 0.08], [0.06, 0.04, 0.03], sstep(0, 0.9, -above));\n  let col = above > 0 ? wall : desk;\n\n  const warm = [1.0, 0.5, 0.22];\n  col = vadd(col, warm, light * 0.2 * Math.exp(-2 * (p[0] ** 2 + (p[1] - 0.45) ** 2)));\n  const ddx = p[0] * 0.7, ddy = (p[1] + 0.22) * 2.2;\n  const seam = U.desk >= p[1] ? 1 : 0;\n  col = vadd(col, warm, light * 0.14 * Math.exp(-(ddx * ddx + ddy * ddy)) * seam);\n\n  const shx = p[0] / 0.42, shy = (p[1] + 0.22) / 0.035;\n  col = vmul(col, 1 - 0.6 * Math.exp(-(shx * shx + shy * shy)));\n  const swx = p[0] / 0.5, swy = (p[1] + 0.25) / 0.1;\n  col = vmul(col, 1 - 0.25 * Math.exp(-(swx * swx + swy * swy)));\n\n  const baseD = Math.max(Math.abs(p[0]) - 0.30, Math.max(-0.22 - p[1], p[1] + 0.02));\n  col = vmix(col, chromeBar(p[0], 0.30, light * 0.3 * Math.exp(-sq((p[1] + 0.02) / 0.03))), cover(baseD, px));\n  const collarD = Math.max(Math.abs(p[0]) - 0.262, Math.max(-0.02 - p[1], p[1] - 0.04));\n  col = vmix(col, chromeBar(p[0], 0.262, light * 0.25 * Math.exp(-sq((p[1] - 0.04) / 0.02))), cover(collarD, px));\n  const capHW = p[1] > 1.0 ? 0.11 * Math.sqrt(Math.max(0, 1 - sq((p[1] - 1.0) / 0.06))) : 0.11;\n  const capD = Math.max(Math.abs(p[0]) - capHW, Math.max(0.92 - p[1], p[1] - 1.06));\n  col = vmix(col, chromeBar(p[0], 0.11, 0), cover(capD, px));\n\n  const gh = glassHalf(p[1]);\n  const gOut = cover(Math.max(Math.abs(p[0]) - gh, Math.max(0.04 - p[1], p[1] - 0.92)), px);\n  const gIn = cover(Math.max(Math.abs(p[0]) - (gh - 0.012), Math.max(0.052 - p[1], p[1] - 0.908)), px);\n  if (gOut > 0) {\n    const liq = gIn * (1 - sstep(-px, px, p[1] - 0.84));\n    const fk = 0.6 + 0.8 * light * Math.exp(-2.5 * Math.max(p[1] - 0.052, 0));\n    const fluid = [0.05 * fk, 0.19 * fk, 0.24 * fk];\n    col = vadd(vmix(col, fluid, 0.5 * liq), [0.05, 0.07, 0.08], gOut);\n    const surf = Math.exp(-sq((p[1] - 0.84) / (1.5 * px + 0.002)));\n    col = vadd(col, [0.6, 0.8, 0.85], 0.2 * gIn * surf);\n\n    if (gIn > 0) {\n      let f = 0, ws = 0, rs = 0, gx = 0, gy = 0;\n      for (const [bx, by, br, bt] of blobs) {\n        const dx = p[0] - bx, dy = p[1] - by;\n        const r2 = br * br, d2 = dx * dx + dy * dy + 1e-6;\n        const w = r2 / d2;\n        f += w; ws += w * bt; rs += w * br;\n        gx -= 2 * r2 * dx / (d2 * d2); gy -= 2 * r2 * dy / (d2 * d2);\n      }\n      const fstep = Math.hypot(gx, gy) * px;\n      const mask = sstep(1 - 0.8 * fstep, 1 + 0.8 * fstep + 1e-5, f) * liq;\n      const temp = Math.min(1, Math.max(0, ws / Math.max(f, 1e-6)));\n      const rE = rs / Math.max(f, 1e-6);\n      const h = Math.sqrt(Math.max(1 - 1 / Math.max(f, 1e-6), 0));\n      const den = 2 * Math.max(h, 0.02) * Math.max(f * f, 1e-12);\n      const N = norm3([-(rE * gx / den), -(rE * gy / den), 1]);\n      const L = norm3([-0.45, 0.6, 0.66]);\n      const diff = Math.max(dot3(N, L), 0);\n      const Hh = norm3([L[0], L[1], L[2] + 1]);\n      const spec = Math.pow(Math.max(dot3(N, Hh), 0), 36);\n      const rim = 1 - N[2];\n      let wc = vmix([0.42, 0.03, 0.08], [0.95, 0.24, 0.07], sstep(0.1, 0.6, temp));\n      wc = vmix(wc, [1.0, 0.72, 0.32], sstep(0.7, 1.0, temp));\n      let sh = wc.map(v => v * (0.18 + 0.82 * diff) + v * rim * rim * 0.5);\n      sh = vadd(sh, [1.0, 0.9, 0.8], spec * 0.4);\n      sh = sh.map((v, i) => v + wc[i] * temp * light * 0.35);\n      sh = vmul(sh, 0.6 + 0.4 * light);\n      col = vmix(col, sh, mask);\n    }\n    const u = Math.min(1, Math.max(-1, p[0] / gh));\n    const fade = sstep(0.06, 0.16, p[1]) * (1 - sstep(0.84, 0.9, p[1]));\n    const streak = (Math.exp(-sq((u + 0.62) / 0.05)) + 0.4 * Math.exp(-sq((u - 0.78) / 0.03))) * fade;\n    const edge = 1 - sstep(0, 0.02, gh - Math.abs(p[0]));\n    col = vadd(col, [0.95, 0.97, 1.0], (0.28 * streak + 0.1 * edge) * gIn);\n  }\n  return col.map(v => Math.min(1, Math.max(0, v)));\n}\n\nfunction renderPNG(file, w, h, blobs, light, U) {\n  const raw = Buffer.alloc((w * 3 + 1) * h);\n  for (let y = 0; y < h; y++) {\n    raw[y * (w * 3 + 1)] = 0;\n    for (let x = 0; x < w; x++) {\n      // gl_FragCoord: origin at the bottom-left, pixel centres at +0.5\n      const c = shade(x + 0.5, h - y - 0.5, U, blobs, light);\n      const o = y * (w * 3 + 1) + 1 + x * 3;\n      raw[o] = Math.round(c[0] * 255); raw[o + 1] = Math.round(c[1] * 255); raw[o + 2] = Math.round(c[2] * 255);\n    }\n  }\n  const chunk = (type, data) => {\n    const len = Buffer.alloc(4); len.writeUInt32BE(data.length);\n    const td = Buffer.concat([Buffer.from(type, 'ascii'), data]);\n    const crc = Buffer.alloc(4); crc.writeUInt32BE(zlib.crc32(td) >>> 0);\n    return Buffer.concat([len, td, crc]);\n  };\n  const ihdr = Buffer.alloc(13);\n  ihdr.writeUInt32BE(w, 0); ihdr.writeUInt32BE(h, 4);\n  ihdr[8] = 8; ihdr[9] = 2; ihdr[10] = 0; ihdr[11] = 0; ihdr[12] = 0;\n  const png = Buffer.concat([\n    Buffer.from([137, 80, 78, 71, 13, 10, 26, 10]),\n    chunk('IHDR', ihdr), chunk('IDAT', zlib.deflateSync(raw)), chunk('IEND', Buffer.alloc(0)),\n  ]);\n  fs.writeFileSync(file, png);\n}\n\n// Same numbers layout() produces for a 390x844 CSS viewport at 1x\nfunction layoutFor(cssW, cssH) {\n  const scale = Math.min(cssH * 0.52, cssW * 1.05, 560);\n  const originY = cssH * 0.8 - 0.22 * scale;\n  return { scale, ox: cssW / 2, oy: cssH - originY, desk: (originY - cssH * 0.7) / scale };\n}\n\nconst dir = '[workspace]/.scratch/';\nconst U = layoutFor(390, 844);\nconst snap = () => vm.runInContext('blobs.map(b => [b.x, b.y, b.r, b.t])', ctx);\nconst lightNow = () => vm.runInContext('light', ctx);\n\nsim(12);\nconst blobsOn = snap();\nrenderPNG(dir + 'on.png', 390, 844, blobsOn, lightNow(), U);\nsim(25);\nvm.runInContext('on = false;', ctx);\nsim(20);\nconst blobsOff = snap();\nrenderPNG(dir + 'off.png', 390, 844, blobsOff, lightNow(), U);\nconsole.log(JSON.stringify({ onCount: blobsOn.length, offCount: blobsOff.length, lightOff: +lightNow().toFixed(3),\n  onTemps: blobsOn.map(b => +b[3].toFixed(2)), offTemps: blobsOff.map(b => +b[3].toFixed(2)) }));\n"
}

[tool result]
File created successfully at: [workspace]/.scratch/render-preview.js (file state is current in your context — no need to Read it back)

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[tool Bash]
{
  "command": "/opt/homebrew/opt/node@22/bin/node [workspace]/.scratch/render-preview.js 2>&1 | head -c 1500; ls -la [workspace]/.scratch/ | grep -E \"png\"",
  "description": "Render CPU preview PNGs of the lamp on and off"
}

[tool result]
{"onCount":5,"offCount":3,"lightOff":0,"onTemps":[0.57,0.73,0.55,0.56,0.55],"offTemps":[0.01,0.04,0.02]}
-rw-r--r--@  1 [redacted:username]  wheel   49233 Oct  7 21:57 off.png
-rw-r--r--@  1 [redacted:username]  wheel  107382 Oct  7 21:57 on.png
zsh:1: operation not permitted: [redacted:local-path]

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[tool Read]
{
  "file_path": "[workspace]/.scratch/on.png"
}

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[image]

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[assistant]
The composition reads as a lamp: glass bottle, chrome collar and base, domed cap, warm wall glow, and a hot wax mass with specular shading. Next I'll check the lamp-off frame.

[tool Read]
{
  "file_path": "[workspace]/.scratch/off.png"
}

[tool result]
[image]

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[assistant]
The lamp-off frame is right: the cooled wax has sunk into a dark pool at the floor. I'll make two small look tweaks, a slightly brighter teal liquid and a bit more wax glow while lit, then re-render a different random state to check that.

[tool Edit]
{
  "replace_all": false,
  "file_path": "[workspace]/index.html",
  "old_string": "    vec3 fluid = vec3(0.05, 0.19, 0.24) * (0.6 + 0.8 * uLight * exp(-2.5 * max(p.y - 0.052, 0.0)));",
  "new_string": "    vec3 fluid = vec3(0.07, 0.22, 0.27) * (0.6 + 0.8 * uLight * exp(-2.5 * max(p.y - 0.052, 0.0)));"
}

[tool result]
The file [workspace]/index.html has been updated successfully.

[system]
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[tool Edit]
{
  "replace_all": false,
  "file_path": "[workspace]/index.html",
  "old_string": "      shade += wc * temp * uLight * 0.35;   // glows while the bulb is on",
  "new_string": "      shade += wc * temp * uLight * 0.45;   // glows while the bulb is on"
}

[tool result]
The file [workspace]/index.html has been updated successfully.

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[tool Edit]
{
  "replace_all": false,
  "file_path": "[workspace]/.scratch/render-preview.js",
  "old_string": "    const fluid = [0.05 * fk, 0.19 * fk, 0.24 * fk];",
  "new_string": "    const fluid = [0.07 * fk, 0.22 * fk, 0.27 * fk];"
}

[tool result]
The file [workspace]/.scratch/render-preview.js has been updated successfully. (file state is current in your context — no need to Read it back)

[system]
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[tool Edit]
{
  "replace_all": false,
  "file_path": "[workspace]/.scratch/render-preview.js",
  "old_string": "      sh = sh.map((v, i) => v + wc[i] * temp * light * 0.35);",
  "new_string": "      sh = sh.map((v, i) => v + wc[i] * temp * light * 0.45);"
}

[tool result]
The file [workspace]/.scratch/render-preview.js has been updated successfully. (file state is current in your context — no need to Read it back)

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[tool Bash]
{
  "command": "/opt/homebrew/opt/node@22/bin/node [workspace]/.scratch/render-preview.js 2>&1 | head -c 600",
  "description": "Re-render the CPU preview frames with the tweaked colours"
}

[tool error]
Exit code 1
{"onCount":4,"offCount":4,"lightOff":0,"onTemps":[0.48,0.73,0.46,0.8],"offTemps":[0.01,0.01,0.02,0.03]}
zsh:1: operation not permitted: [redacted:local-path]

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[tool Read]
{
  "file_path": "[workspace]/.scratch/on.png"
}

[tool result]
[image]

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[assistant]
The frame looks better, but the wax is still fusing into one mass. The cause is the metaball field: two blobs visibly neck about 2.8 radii apart, well before they physically touch. So blobs that are not allowed to merge still look fused. I'll keep non-merging blobs a little farther apart, at 1.3 times their combined radius, and re-check the simulation.

[tool Edit]
{
  "replace_all": false,
  "file_path": "[workspace]/index.html",
  "old_string": "      const R = a.r + b.r;\n      if (d >= R * 1.1) continue;\n      if (canJoin(a, b)) join(a, b);\n      else if (d < R) bounce(a, b, dx / d, dy / d, R - d);",
  "new_string": "      // Wax fuses visibly from about 1.4 radii, so blobs that may not merge keep 1.3 of gap\n      const R = (a.r + b.r) * 1.3;\n      if (d >= R) continue;\n      if (canJoin(a, b)) join(a, b);\n      else bounce(a, b, dx / d, dy / d, R - d);"
}

[tool result]
The file [workspace]/index.html has been updated successfully.

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[tool Bash]
{
  "command": "for i in 1 2 3 4; do /opt/homebrew/opt/node@22/bin/node [workspace]/.scratch/sim-test.js 2>&1 | /opt/homebrew/opt/node@22/bin/node -e \"let s='';process.stdin.on('data',d=>s+=d).on('end',()=>{const r=JSON.parse(s);console.log('mass err',r.maxMassErr.toExponential(1),'nonFinite',r.nonFinite,'floorViol',r.floorViolation.toExponential(1),'topViol',r.topViolation.toExponential(1),'wall',r.wallViolation.toFixed(3));for(const p of r.phases)console.log(p.mode,p.secs+'s','joins',p.joins,'splits',p.splits,'n',p.nMin+'-'+p.nMax,'maxY',p.maxY,'minY',p.minY,'meanY',p.meanYrange.join('..'),'tBot',p.hotAtBottom,'tTop',p.coolAtTop)});\"; echo \"--\"; done 2>&1 | head -c 3000",
  "description": "Rerun simulation checks after the wider bounce gap"
}

[tool error]
Exit code 1
mass err 1.6e-14 nonFinite 0 floorViol 6.9e-18 topViol 1.1e-16 wall -0.051
on 120s joins 9 splits 7 n 1-6 maxY 0.74 minY 0.15 meanY 0.34..0.56 tBot 0.95 tTop 0.04
off 60s joins 0 splits 0 n 4-4 maxY 0.74 minY 0.14 meanY 0.29..0.52 tBot 0 tTop 0
on 90s joins 8 splits 8 n 3-5 maxY 0.74 minY 0.14 meanY 0.29..0.54 tBot 0.91 tTop 0.04
--
mass err 1.5e-14 nonFinite 0 floorViol 6.9e-18 topViol 1.1e-6 wall -0.055
on 120s joins 21 splits 19 n 1-6 maxY 0.75 minY 0.16 meanY 0.39..0.55 tBot 0.94 tTop 0.07
off 60s joins 1 splits 0 n 3-4 maxY 0.74 minY 0.16 meanY 0.33..0.5 tBot 0 tTop 0.03
on 90s joins 49 splits 50 n 2-5 maxY 0.74 minY 0.15 meanY 0.32..0.57 tBot 0.93 tTop 0.1
--
mass err 4.3e-14 nonFinite 0 floorViol 6.9e-18 topViol 1.1e-16 wall -0.049
on 120s joins 65 splits 65 n 2-7 maxY 0.75 minY 0.13 meanY 0.35..0.53 tBot 0.89 tTop 0.13
off 60s joins 3 splits 1 n 4-6 maxY 0.75 minY 0.14 meanY 0.35..0.51 tBot 0 tTop 0.01
on 90s joins 52 splits 52 n 3-7 maxY 0.76 minY 0.13 meanY 0.28..0.52 tBot 0.85 tTop 0.11
--
mass err 6.2e-14 nonFinite 0 floorViol 6.9e-18 topViol 2.6e-3 wall -0.057
on 120s joins 27 splits 26 n 1-6 maxY 0.74 minY 0.14 meanY 0.44..0.61 tBot 0.94 tTop 0.13
off 60s joins 1 splits 0 n 4-5 maxY 0.75 minY 0.14 meanY 0.36..0.49 tBot 0 tTop 0
on 90s joins 15 splits 16 n 4-6 maxY 0.75 minY 0.14 meanY 0.34..0.51 tBot 0.96 tTop 0.11
--
zsh:1: operation not permitted: [redacted:local-path]

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[assistant]
Mass is still exact and nothing goes non-finite. Blobs still reach the top (0.74) and the floor (0.13). Joins are now about 15 per minute on average, and they vary by run. A top overshoot of 2.6e-3 units clips under the liquid mask, so it won't show. I'll re-render the preview to see whether the blobs now read as separate.

[tool Bash]
{
  "command": "/opt/homebrew/opt/node@22/bin/node [workspace]/.scratch/render-preview.js 2>&1 | head -c 400",
  "description": "Re-render the CPU preview frames after the spacing change"
}

[tool error]
Exit code 1
{"onCount":4,"offCount":4,"lightOff":0,"onTemps":[0.65,0.15,0.87,0.55],"offTemps":[0,0.02,0.02,0.03]}
zsh:1: operation not permitted: [redacted:local-path]

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[tool Read]
{
  "file_path": "[workspace]/.scratch/on.png"
}

[tool result]
[image]

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[assistant]
This frame shows the intended behaviour: the wax is hottest and brightest at the floor, cooler and darker toward the top, and blobs fuse only where they merge. The page itself also needs a final check after these edits, so I'll re-run the wiring check.

[tool Bash]
{
  "command": "/opt/homebrew/opt/node@22/bin/node [workspace]/.scratch/wiring-test.js 2>&1 | /opt/homebrew/opt/node@22/bin/node -e \"let s='';process.stdin.on('data',d=>s+=d).on('end',()=>{const r=JSON.parse(s);console.log(JSON.stringify(r))})\" ; echo",
  "description": "Re-run WebGL wiring checks after the latest edits"
}

[tool error]
Exit code 1
----- Native stack trace -----

 1: 0x1070b4190 node::InitializeOncePerProcessInternal(std::__1::vector<std::__1::basic_string<char, std::__1::char_traits<char>, std::__1::allocator<char>>, std::__1::allocator<std::__1::basic_string<char, std::__1::char_traits<char>, std::__1::allocator<char>>>> const&, node::ProcessInitializationFlags::Flags) [/opt/homebrew/Cellar/node@22/22.23.3/lib/libnode.127.dylib]
 2: 0x1070b4cfc node::Start(int, char**) [/opt/homebrew/Cellar/node@22/22.23.3/lib/libnode.127.dylib]
 3: 0x18daffe80 start [/usr/lib/dyld]

zsh:1: operation not permitted: [redacted:local-path]

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[assistant]
Node failed to start on this run, with the same startup crash I saw at the very beginning. I'll re-run it directly and capture the output to a file instead of piping.

[tool Bash]
{
  "command": "/opt/homebrew/opt/node@22/bin/node [workspace]/.scratch/wiring-test.js > [workspace]/.scratch/wiring-out.txt 2>&1; echo \"node exit=$?\"; head -c 1200 [workspace]/.scratch/wiring-out.txt",
  "description": "Re-run wiring checks and save output to a scratch file"
}

[tool error]
Exit code 1
node exit=0
{
 "started": true,
 "msgHidden": false,
 "canvasAfterLayout": [
  780,
  1688
 ],
 "kVar": "1.024",
 "powerLeft": "258.47249999999997px",
 "powerTop": "634.25px",
 "framesOK": true,
 "ariaAfterClick": "false",
 "ariaAfterSecondClick": "true",
 "canvasWidthBefore": 780,
 "canvasWidthAfterSlow": 399,
 "canvasAfterResize": [
  864,
  399
 ],
 "drawCalls": 821,
 "uCountSample": [
  "uCount",
  4
 ],
 "uScaleSample": [
  "uniform1f",
  "uScale",
  207.6057
 ]
}
zsh:1: operation not permitted: [redacted:local-path]

[system]
status

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[assistant]
The wiring check passes again. The tool's "exit code 1" is only the shell's cwd bookkeeping. Before I clean up, I'll list the scratch folder to confirm it holds only my test files.

[tool Bash]
{
  "command": "ls -la [workspace]/ [workspace]/.scratch/",
  "description": "List project folder and scratch folder before cleanup"
}

[tool error]
Exit code 1
[workspace]/:
total 40
drwx------@  5 [redacted:username]  wheel    160 Oct  7 21:58 .
drwx------@  3 [redacted:username]  wheel     96 Oct  7 21:39 ..
drwxr-xr-x@  3 [redacted:username]  wheel     96 Oct  7 21:47 .claude
drwxr-xr-x@ 18 [redacted:username]  wheel    576 Oct  7 21:58 .scratch
-rw-r--r--@  1 [redacted:username]  wheel  19577 Oct  7 21:58 index.html

[workspace]/.scratch/:
total 472
drwxr-xr-x@ 18 [redacted:username]  wheel     576 Oct  7 21:58 .
drwx------@  5 [redacted:username]  wheel     160 Oct  7 21:58 ..
-rw-r--r--@  1 [redacted:username]  wheel       0 Oct  7 21:53 err1.txt
-rw-r--r--@  1 [redacted:username]  wheel       0 Oct  7 21:53 err2.txt
-rw-r--r--@  1 [redacted:username]  wheel       0 Oct  7 21:53 err3.txt
-rw-r--r--@  1 [redacted:username]  wheel       0 Oct  7 21:53 err4.txt
-rw-r--r--@  1 [redacted:username]  wheel       0 Oct  7 21:53 err5.txt
-rw-r--r--@  1 [redacted:username]  wheel   59356 Oct  7 21:58 off.png
-rw-r--r--@  1 [redacted:username]  wheel  132333 Oct  7 21:58 on.png
-rw-r--r--@  1 [redacted:username]  wheel     659 Oct  7 21:53 out1.txt
-rw-r--r--@  1 [redacted:username]  wheel     657 Oct  7 21:53 out2.txt
-rw-r--r--@  1 [redacted:username]  wheel     663 Oct  7 21:53 out3.txt
-rw-r--r--@  1 [redacted:username]  wheel     658 Oct  7 21:53 out4.txt
-rw-r--r--@  1 [redacted:username]  wheel     666 Oct  7 21:53 out5.txt
-rw-r--r--@  1 [redacted:username]  wheel    8520 Oct  7 21:57 render-preview.js
-rw-r--r--@  1 [redacted:username]  wheel    3347 Oct  7 21:52 sim-test.js
-rw-r--r--@  1 [redacted:username]  wheel     462 Oct  7 21:58 wiring-out.txt
-rw-r--r--@  1 [redacted:username]  wheel    3896 Oct  7 21:55 wiring-test.js
zsh:1: operation not permitted: [redacted:local-path]

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[assistant]
The scratch folder holds only my test files, which I created. The `.claude` folder was already there, so I'll leave it alone. Before deleting the scratch files, I'll confirm the final edited lines are in place.

[tool Grep]
{
  "pattern": "\\* 1\\.3|0\\.45\\)|0\\.07, 0\\.22, 0\\.27|0\\.6 \\+ 0\\.4 \\* uLight|cool = c\\.cool = 4",
  "path": "[workspace]/index.html",
  "output_mode": "content",
  "-n": true
}

[tool result]
257:        b.cool = c.cool = 4;
271:      const R = (a.r + b.r) * 1.3;
348:  vec2 dw = p - vec2(0.0, 0.45);
378:    vec3 fluid = vec3(0.07, 0.22, 0.27) * (0.6 + 0.8 * uLight * exp(-2.5 * max(p.y - 0.052, 0.0)));
416:      shade *= 0.6 + 0.4 * uLight;          // duller when cold

[system]
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[assistant]
All the final edits are in place. Now I'll delete the scratch folder.

[tool Bash]
{
  "command": "rm -rf [workspace]/.scratch && ls -la [workspace]/",
  "description": "Delete my scratch test folder and confirm project contents"
}

[tool error]
Exit code 1
total 40
drwx------@ 4 [redacted:username]  wheel    128 Oct  7 21:59 .
drwx------@ 3 [redacted:username]  wheel     96 Oct  7 21:39 ..
drwxr-xr-x@ 3 [redacted:username]  wheel     96 Oct  7 21:47 .claude
-rw-r--r--@ 1 [redacted:username]  wheel  19577 Oct  7 21:58 index.html
zsh:1: operation not permitted: [redacted:local-path]

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[assistant]
The lava lamp is in one file, `[workspace]/index.html`. It makes no network requests and needs WebGL 2. I have not run it in a real browser or on a phone, so please open it and tell me what looks wrong.

**What it does**
- **Scene:** a glass bottle with a chrome collar and base, a domed cap, and a desk with a warm glow from the bulb. The page fits the viewport, and the lamp takes about half the screen height on a phone.
- **Wax:** blobs are metaballs in a WebGL fragment shader. Wax is hot and yellow-orange at the floor and cools to deep red near the top.
- **Motion:** buoyancy follows temperature. The bulb heats the floor, and the top of the glass cools the wax. Blobs rise, cool, sink, and reheat.
- **Switch:** a toggle on the front-right of the base, operable by keyboard. Turning the lamp off lets the light go out and the wax cool and sink into a dark pool at the floor. The lamp starts on, and the bulb warms up over about two seconds.
- **60 fps:** physics runs in fixed 60 Hz steps.

[user]
[Request interrupted by user]

[result]
error_during_execution (error), turns 59, duration 1199528 ms