31:[] 2f:{"title":"ISEPS Factory Event Prestige Optimizer","cells":[{"id":1,"value":"# ISEPS Factory Event Prestige Optimizer\nBy Super Mikal (@SuperMikal on Discord)","pinned":false,"hidden":false,"mode":"md"},{"id":34,"value":"const inputs = {\n plevels: Inputs.range([100,5000], {\n step: 100,\n value: 1000,\n label: \"Total Particle Affix Levels Expected\"\n }),\n fills: Inputs.range([1,70], {\n step: 1,\n value: 30,\n label: \"Total Prestige Fills\"\n })\n}\n\nconst stats = view(formWithLocalStorage('@supermikal/iseps-factory-event-prestige-optimizer/v1', inputs, _.mapValues(inputs, 'value')))","pinned":false,"hidden":false,"mode":"ts"},{"id":41,"value":"const budget = triangularNumber(stats.fills)\ndisplay(md`Budget: **${budget}** Cyber Circuits (yes, that's what they're called)`)","pinned":false,"hidden":false,"mode":"ts"},{"id":61,"value":"### Choose tradeoff between Plinkies and Particle","pinned":false,"hidden":false,"mode":"md"},{"id":52,"value":" const choices = finalOptions\n .derive({\n Levels: d => op.join([\n d.outputLv,\n d.sellLv,\n op.colormark(d.particleLv,op.max(d.particleLv)),\n d.speedLv,\n op.least(d.leftover,16)\n ],\"|\"),\n Plinkies: d => op.fmult(d.mult),\n Particle: d => op.fmult(d.pmult),\n 'Plink/Lv': d => d.plinkrel && op.fdiv(d.plinkrel) ,\n 'Part/Lv': d => d.partrel && op.fmult(d.partrel) ,\n 'Plink Tot': d => d.plinkabs && op.fdiv(d.plinkabs) ,\n 'Part Tot': d => d.partabs && op.fmult(d.partabs) ,\n },{drop:true})\n .objects()\n\nconst choice = view(Inputs.table(\n choices,\n {\n layout:\"auto\",\n select:true,\n multiple:false,\n value: choices[1] || choices[0],\n format: {Levels:rawHtml}\n }\n))","pinned":false,"hidden":false,"mode":"ts"},{"id":51,"value":"Levels are the same order as in-game, which is Fab Output, Sell Value, Particle Output, Fab Speed and Offline -Hours.\n\nThe calculator optimizes for Plinkies per hour and Particle Output separately, and since there's only 5 levels of Particle Output, it shows every outcome, so you can choose your own balance.\nEach row after the first will show the difference relative to the row above it.","pinned":false,"hidden":false,"mode":"md"},{"id":82,"value":"### (Optional) Reduce Sell Value to increase Fabricator Output and Speed\n\nThis is useful in cirumstances where you have or expect to unlock preserving special orders and want to boost raw production to fulfill those orders faster. But remember, it's Plinkies that count for Prestige Fills.","pinned":false,"hidden":false,"mode":"md"},{"id":83,"value":"formatBigTable(tradeoffs\n .derive({\n Levels: (d,p) => op.join([\n d.outputLv,\n op.colormark(d.sellLv, p.sellLv),\n p.particleLv,\n d.speedLv,\n op.least(p.budget-d.cost,16)\n ],\"|\"),\n 'Prod/Lv': d => op.fmult(d.prodrel),\n 'Plink/Lv': d => op.fdiv(d.plinkrel),\n 'Prod Total': d => op.fmult(d.prodabs),\n 'Plink Total': d => op.fdiv(d.plinkabs),\n Ratio: d => op.big(d.ratio),\n 'Log Ratio': d => op.big(d.logratio),\n 'Prod Mult': d => op.fmult(d.prodmult),\n 'Plink Mult': d => op.fmult(d.mult),\n },{drop:true}),\n {format:{Levels:rawHtml}, always:true}\n)","pinned":false,"hidden":false,"mode":"ts"},{"id":58,"value":"---\n\n## Changelog\n\n#### 2026-07-24\n- Added some experimental plots to visualize stuff\n\n#### 2026-07-16\n- Optimized number formatting\n- Added a debug toggle, so intermediate calculation tables don't render unnecessarily\n\n#### 2026-07-15\n- Save state to local storage\n- Replaced bias controls with table showing tradeoffs between less Sell Value for more Fabricator Output and Speed\n- Added some new experiments, moved further down in notebook\n\n#### 2026-07-10\n- Fixed prestige fills 66+ error\n- Capped max level of last upgrade (offline hours)\n\n#### 2026-07-07 (even later)\n- Added experimental advanced controls to bias the value of upgrades, so you can sacrifice some total mult for extra speed, for example.\n\n#### 2026-07-07 (but later)\n- Added missing costs for Sell Value. Thanks to Aeris on the Discord server!\n\n#### 2026-07-07\n- First release!","pinned":false,"hidden":false,"mode":"md"},{"id":33,"value":"---\n\n## Data and Calc","pinned":false,"hidden":false,"mode":"md"},{"id":54,"value":"

\n ℹ️ Look out below:\n The rest of the notebook is all the calculation stuff. Feel free to explore, tinker and save your own version that you can share!\n

","pinned":false,"hidden":false,"mode":"html"},{"id":108,"value":"const debug = view(Inputs.toggle({label:\"Display debug tables\"}))","pinned":true,"hidden":false,"mode":"ts"},{"id":10,"value":"const data = {\n output: aq.table({\n lv: levels(100).slice(1) // must buy 1 to unlock rest\n })\n .derive({\n costPer: d => d.lv === 0 ? 0 : op.greatest(1, op.trunc((d.lv-1)/10)),\n mult: d => d.lv + 1\n })\n .derive({\n cost:aq.rolling(op.sum('costPer')),\n })\n .select(aq.not('costPer')),\n\n sell: aq.table({\n lv: levels(50),\n costPer: [0,\n 2,2,2,2,2,\n 2,2,2,2,2,\n 3,3,3,4,4,\n 5,5,6,6,7,\n 8,9,10,11,12,\n 13,14,16,17,19,\n 21,23,26,28,31,\n 34,38,42,46,51,\n 56,61,68,74,82,\n 90,99,109,120,132]\n }).filter(d => d.costPer !== null)\n .derive({\n mult: d => op.pow(1.5, d.lv),\n cost: aq.rolling(op.sum('costPer'))\n })\n .select(aq.not('costPer')),\n\n speed: aq.table({\n lv: levels(19),\n costPer: [0,\n 2,2,3,3,4,\n 4,6,8,10,12,\n 14,18,22,26,30,\n 34,41,48,100]\n }).derive({\n mult: d => 1 / (1 - 0.05*d.lv),\n cost: aq.rolling(op.sum('costPer')),\n })\n .select(aq.not('costPer'))\n}","pinned":true,"hidden":false,"mode":"ts"},{"id":38,"value":"const particle = aq.table({\n lv: levels(5),\n cost: [0, 5, 17, 41, 88, 174],\n pbase: [1, 1.011, 1.013, 1.015, 1.017, 1.019]\n})\n .params({plevels:stats.plevels})\n .derive({\n mult:(d,p)=>op.pow(d.pbase,p.plevels)\n })","pinned":true,"hidden":false,"mode":"ts"},{"id":57,"value":"

${\n Object.entries({...data,particle})\n .map(renderTableCard)\n}

","pinned":true,"hidden":false,"mode":"html"},{"id":25,"value":"// Only 100×51×20 ≈ 100K combinations\n// Brute force this bitch\nconst pureProd = data.output.cross(data.speed, {\n cost: (o, s) => o.cost + s.cost,\n mult: (o, s) => o.mult * s.mult,\n outputLv: (o, s) => o.lv,\n speedLv: (o, s) => s.lv\n })\n .orderby(\n 'cost',\n aq.desc('mult'),\n aq.desc('speedLv')\n )\n .dedupe('cost')\n .filter(aq.rolling(d => d.mult === op.max(d.mult)))\n\ndisplay(renderTableCard(pureProd))\ndisplay(md`Max mult: **x${formatBig(aq.agg(pureProd, op.max('mult')))}**`)","pinned":true,"hidden":false,"mode":"ts"},{"id":65,"value":"const crossOutputSell =\n pureProd.cross(data.sell, {\n cost: (p, s) => p.cost + s.cost,\n prodmult: p => p.mult,\n mult: (p, s) => p.mult * s.mult,\n outputLv: (p, s) => p.outputLv,\n speedLv: (p, s) => p.speedLv,\n sellLv: (p, s) => s.lv\n}).orderby(\n 'cost',\n // aq.desc('mult'),\n // aq.desc('prodmult')\n)\n\ndisplay(renderTableCard(crossOutputSell.filter(d=>d.cost>300)))","pinned":true,"hidden":false,"mode":"ts"},{"id":27,"value":"const ideal = crossOutputSell\n .orderby(\n 'cost',\n aq.desc('mult'),\n aq.desc('prodmult')\n )\n .dedupe('cost')\n .filter(aq.rolling(d => d.mult === op.max(d.mult)))\n\ndisplay(renderTableCard(ideal))","pinned":true,"hidden":false,"mode":"ts"},{"id":45,"value":"ideal.orderby(aq.desc('cost')).object(0)","pinned":true,"hidden":false,"mode":"ts"},{"id":47,"value":"const expanded =\n expand(ideal, 'budget','cost')\n .derive({\n rest: d => d.budget - d.cost\n }).lookup(\n aq.table({fills:levels(70)})\n .derive({\n budget: d => op.tri(d.fills)\n })\n )\ndisplay(renderTableCard(expanded))","pinned":true,"hidden":false,"mode":"ts"},{"id":48,"value":"const finalOptions = particle\n .params({budget})\n .filter((d,p) => d.cost < p.budget) // leaves at least 1 point required for prod output\n .derive({rest: (d,p) => p.budget-d.cost})\n .rename({ mult:'pmult', cost:'pcost', lv:\"particleLv\" })\n .lookup(expanded, ['rest','budget'])\n .derive({\n leftover: d => d.rest-d.cost,\n partrel: d => d.particleLv>=2\n ?d.pmult/op.lag(d.pmult)\n :null,\n partabs: d => d.particleLv>=2\n ?d.pmult/op.nth_value(d.pmult,2)\n :null,\n plinkrel: d => op.lag(d.mult)/d.mult || 1,\n plinkabs: d => op.nth_value(d.mult,2)/d.mult,\n })\ndisplay(renderTableCard(finalOptions))","pinned":true,"hidden":false,"mode":"ts"},{"id":86,"value":"const choiceFull = display(finalOptions\n .select('sellLv', 'budget', 'particleLv')\n .object(choices.indexOf(choice))\n)\n","pinned":true,"hidden":false,"mode":"ts"},{"id":67,"value":"const tradeoffs = crossOutputSell\n .params(choiceFull)\n .filter((d,choice) =>\n d.cost<=choice.budget &&\n d.sellLv <= choice.sellLv)\n .orderby(\n aq.desc('sellLv'),\n aq.desc('prodmult'))\n .dedupe('sellLv')\n .dedupe('prodmult')\n .derive({\n // particleLv: (_,p) => p.particleLv,\n prodrel: d => d.prodmult/op.lag(d.prodmult) || 1,\n plinkrel: d => op.lag(d.mult)/d.mult || 1,\n prodabs: d => d.prodmult/op.first_value(d.prodmult),\n plinkabs: d => op.first_value(d.mult)/d.mult,\n })\n .derive({\n ratio: d => d.prodabs / d.plinkabs,\n logratio: d => op.log2(d.prodabs) / op.log2(d.plinkabs),\n })\ndisplay(formatBigTable(tradeoffs))","pinned":true,"hidden":false,"mode":"ts"},{"id":107,"value":"## Experiments","pinned":false,"hidden":false,"mode":"md"},{"id":62,"value":"### Particle Output Lv1 multipliers for early game\n\nParticle mult for 1st level of Particle Output vs Pinkies Mult lost for buying it at early fills\n

\n ${renderTableCard([\"Particle\",\n aq.table({\n affixes:levels(10).map(n=>n*50)\n }).derive({mult: d => op.fmult(\n op.pow(1.011,d.affixes))\n })],{format:{}})}\n ${renderTableCard([\"Plinkies\",\n aq.table({\n fills:levels(13).slice(3)\n }).derive({\n chips:d=>op.tri(d.fills)\n }).derive({\n left:d=>d.chips-5\n }).lookup(ideal, ['chips','cost'],{\n before: d=>d.mult\n }).lookup(ideal, ['left','cost'],{\n after : d=>d.mult\n }).derive({\n ratio:d=>op.fdiv(d.before/d.after)\n }).select('fills', 'ratio')\n ],{format:{}})}\n

","pinned":false,"hidden":false,"mode":"md"},{"id":106,"value":"### Visualization of Sell Value tradeoffs","pinned":false,"hidden":false,"mode":"md"},{"id":96,"value":"display(Plot.plot({\n y: { type:'log', tickFormat: formatBig },\n x: { axis:null, reverse: true },\n marks: [\n Plot.line(tradeoffs, {\n x: \"sellLv\",\n y: \"mult\",\n // stroke: \"metric\",\n }),\n ]\n}))\ndisplay(Plot.plot({\n y: { type:'log', tickFormat: formatBig },\n x: { reverse: true },\n marks: [\n Plot.line(tradeoffs, {\n x: \"sellLv\",\n y: \"prodmult\",\n // stroke: \"metric\",\n }),\n ]\n}))\n","pinned":false,"hidden":false,"mode":"ts"},{"id":118,"value":"Plot.plot({\n x: {\n // type: 'log',\n tickFormat: formatMult\n },\n y: {\n type: 'log',\n tickFormat: formatDiv\n },\n marks:[\n Plot.line(tradeoffs, {\n x: 'prodabs',\n y: 'plinkabs',\n tip: true,\n marker: 'tick',\n stroke: 'ratio',z:false,\n // r: 'logratio',\n })\n ]\n})","pinned":false,"hidden":false,"mode":"ts"},{"id":109,"value":"### Particles to Plinkies conversion estimate\n\nUse [Arquero Operations](https://idl.uw.edu/arquero/api/op#math-functions) to write an expression that estimates effective Plinkies mult gained from upgrades bought with Particles.","pinned":false,"hidden":false,"mode":"md"},{"id":110,"value":"const expr = view(Inputs.text({\n label: \"Arquero Expression\",\n value: \"d => op.log1p(d.pmult)*1.2\",\n placeholder: \"d => \",\n submit: true\n}))","pinned":true,"hidden":false,"mode":"ts"},{"id":111,"value":"formatBigTable(finalOptions\n .derive({\n pa2pl: expr\n })\n .derive({\n pa2plrel: d => d.pa2pl / op.lag(d.pa2pl)\n })\n)","pinned":true,"hidden":false,"mode":"ts"},{"id":113,"value":"[\n 1.1**Math.log10(100),\n 1.1**Math.log10(1000)\n]","pinned":true,"hidden":false,"mode":"ts"},{"id":114,"value":"## Bonus\n\nA quick plot of Plinkies mult over all costs, with markers for fills. Axes are non-linear: X uses a square-root transform that makes distance between fills approximately even, and Y uses a logarithm transform.","pinned":false,"hidden":false,"mode":"md"},{"id":121,"value":"Plot.plot({\n x: {\n type: 'sqrt',\n ticks: [1,\n ...d3.range(10,200,10),\n ...d3.range(200,2500,100)],\n tickFormat:(n,i)=>\n [1,10,20,50,100,200,500,1000,2000]\n .includes(n) ? n : '',\n },\n y: {\n type:'log',\n grid: true,\n tickFormat: formatMult,\n },\n marks:[\n Plot.lineY(expanded,\n {\n x: 'cost',\n y: 'mult',\n curve: 'step-after',\n }),\n Plot.ruleX(expanded, { x: 'cost', y1: 'mult', y2:d=>d.mult*2, filter: 'fills' }),\n Plot.text(expanded, { x: 'cost', y: 'mult', dy: -15, text: 'fills', filter: d=>d.fills%5==0 }),\n Plot.tip(expanded.filter('d.fills'), Plot.pointerX({ x: 'cost', y: 'mult', channels:{fills:'fills'}, format:{fills:true,x:true,y:formatMult,}})),\n ]\n})","pinned":false,"hidden":false,"mode":"ts"},{"id":122,"value":"The next plot compares all variations of buying levels of Particle Output.","pinned":false,"hidden":false,"mode":"md"},{"id":115,"value":"const everything = aq.table\n ({\n fills: levels(70).slice(1)\n })\n .derive({\n points: d => op.tri(d.fills)\n })\n .join(particle,\n (e,p) => e.points > p.cost,\n {\n fills: (e,p) => e.fills,\n partLv: (e,p) => p.lv,\n partCost: (e,p) => p.cost,\n budget: (e,p) => e.points - p.cost,\n })\n .lookup(expanded, 'budget',\n ['mult','cost'])\n .groupby('partLv')\n .derive({\n relmult: d => d.mult / op.lag(d.mult)\n })\n\ndisplay(Plot.plot({\n y: {\n type:'log',\n grid: true,\n tickFormat: formatMult,\n },\n color: {\n type: 'ordinal',\n legend: true,\n label: 'Particle Output Levels',\n },\n marks:[\n Plot.lineY(everything,\n {\n x: 'fills',\n y: 'mult',\n stroke: 'partLv',\n curve: 'step-after',\n tip:true,\n }),\n ]\n}))","pinned":false,"hidden":false,"mode":"ts"},{"id":127,"value":"Relative measures:","pinned":false,"hidden":false,"mode":"md"},{"id":124,"value":"const relmultzoom = view(Inputs.range([1.5,30],{value:30,label:'Zoom'}))","pinned":false,"hidden":false,"mode":"ts"},{"id":123,"value":"Plot.plot({\n y: {\n // type:'log', // doesn't help much\n domain:[1,relmultzoom],\n grid: true,\n tickFormat: formatMult,\n },\n color: {\n type: 'ordinal',\n legend: true,\n label: 'Particle Output Levels',\n },\n marks:[\n Plot.lineY(everything,\n {\n x: 'fills',\n y: 'relmult',\n stroke: 'partLv',\n curve: 'step-after',\n tip:true,\n }),\n ]\n})","pinned":false,"hidden":false,"mode":"ts"},{"id":126,"value":"Plot.plot({\n y: {\n // type:'log', // doesn't help much\n domain:[1,1.5],\n grid: true,\n tickFormat: formatMult,\n },\n color: {\n type: 'ordinal',\n legend: true,\n label: 'Particle Output Levels',\n },\n marks:[\n Plot.lineY(everything,\n {\n x: 'fills',\n y: 'relmult',\n stroke: 'partLv',\n curve: 'step-after',\n tip:true,\n }),\n ]\n})","pinned":false,"hidden":false,"mode":"ts"},{"id":5,"value":"## Imports and utils","pinned":false,"hidden":false,"mode":"md"},{"id":7,"value":"import * as aq from \"npm:arquero\"\n\naq.addFunction(\"big\", formatBig, {override:true})\naq.addFunction(\"fmult\", formatMult, {override:true})\naq.addFunction(\"fdiv\", formatDiv, {override:true})\naq.addFunction(\"tri\", triangularNumber, {override:true})\naq.addFunction(\"color\", color, {override:true})\naq.addFunction(\"colormark\", (n,d) => `${n}`, {override:true})\n\nconst op = aq.op","pinned":true,"hidden":false,"mode":"ts"},{"id":63,"value":"import {formWithLocalStorage} from \"observable:@djmax/localstorage-inputs\"","pinned":true,"hidden":false,"mode":"ts"},{"id":17,"value":"const levels = max => Array.from({length: max+1}, (_,i)=>i)","pinned":true,"hidden":false,"mode":"ts"},{"id":18,"value":"levels(100)","pinned":true,"hidden":false,"mode":"ts"},{"id":66,"value":"const expand = (data, name, match) => {\n const holy = aq.table({\n [name]:levels(2500).slice(1)\n })\n .lookup(data, [name, match])\n return holy\n .derive(Object.fromEntries(\n [...holy.columnNames()]\n .map(n => [n, op.fill_down(n)])\n ))\n}","pinned":true,"hidden":false,"mode":"ts"},{"id":31,"value":"const renderTableCard = (data, opt = {}) => {\n if (!debug && !opt.always) return html`

Debug off`;\n const [name, table] = Array.isArray(data) ? data : [,data]\n const title = name && html`

${name.charAt(0).toUpperCase() + name.slice(1)}`\n return html`
\n ${title}\n ${formatBigTable(table, opt)}\n
`;\n};","pinned":true,"hidden":false,"mode":"ts"},{"id":71,"value":"function formatBigTable(data, { always, ...opt } = {}) {\n if (!debug && !always) return html`
Debug off`;\n const names = (data.columnNames ? data.columnNames() : Object.keys(data[0]))\n return Inputs.table(data, {\n format: Object.fromEntries(\n names.map(\n n => [n, formatBig]\n )),\n layout:\"auto\",\n select:false,\n ...opt\n })\n}","pinned":true,"hidden":false,"mode":"ts"},{"id":70,"value":"const a = {b:1,c:2}\ndisplay({b:3, d:4, ...a})","pinned":true,"hidden":false,"mode":"ts"},{"id":49,"value":"const formatBig = (()=>{\n const makeFormat = notation => new Intl.NumberFormat(undefined, {\n notation,\n maximumSignificantDigits:4,\n }).format\n const sci = makeFormat(\"scientific\")\n const com = makeFormat(\"compact\")\n const std = makeFormat(\"standard\")\n return n =>\n n >= 1_000_000 ? sci(n) :\n n >= 10_000 ? com(n) :\n std(n)\n})()\nconst formatMult = n => '×'+formatBig(n)\nconst formatDiv = n => '/'+formatBig(n)","pinned":true,"hidden":false,"mode":"ts"},{"id":42,"value":"const triangularNumber = n => (n * (n + 1)) / 2;\n\ndisplay(triangularNumber(100))","pinned":true,"hidden":false,"mode":"ts"},{"id":87,"value":"const rawHtml = s => html({raw:[s]})","pinned":true,"hidden":false,"mode":"ts"},{"id":35,"value":"","pinned":false,"hidden":false,"mode":"html"},{"id":100,"value":"const color = (n,d) => `oklch(0.9 0.1 ${330+180*n/d})`","pinned":true,"hidden":false,"mode":"ts"},{"id":99,"value":"
","pinned":false,"hidden":false,"mode":"html"},{"id":102,"value":"
","pinned":false,"hidden":false,"mode":"html"},{"id":98,"value":"
","pinned":false,"hidden":false,"mode":"html"}],"files":"$W31","stdlib":"2","titling":"auto"}