Real ChatGPT answer + Gemini simulation · index seedXKvjiIXcYIkcompleteAI OverviewEducation · K-12 schoolscomparison
What is the price difference between renting and buying digital licenses for middle school common core math textbooks when homeschooling
ChatGPTgpt-6Geminigemini-3.5-flash-lite3 passes + 1 real-search36 queries10/30/2026
Download run
Gemini unique queries
34
2 in ≥ half the passes · stability 35%
ChatGPT real searches predicted
100%
2 of 2 matched the simulation
Fan-out diagram
Seed → topic clusters → sub-queries, per model.
SEED QUERY
What is the price difference between renting and buying digital licenses for middle school common core math textbooks when homeschooling
34 unique queries · 3 passes
Badge and edge weight = share of passes that produced the query. Hover a query for its intent and routing format.
Query classes
Google's semantic query class for every sub-query: what kind of answer each search is after, simulated vs real.
ChatGPT real searches (2)
Classes come from the query-classifier (a local Laya model). 2 of 2 calls are low-confidence (under 50%) — hover a query in the table to see its confidence. 34 queries are still being classified.
What the models actually searched
Each model answered the query with its own web search. These are the searches it ran, matched to the closest simulated query.
ChatGPT2 real searches · gpt-6100% predicted
publisher middle school math digital textbook student license price annual access perpetual purchase homeschool 2026 Google ↗
middle school math textbook digital student license homeschool price annual subscription purchase perpetual license Common Core 2026 Google ↗
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Semantic map
Every query placed by meaning (EmbeddingGemma 2, 256-d). Shaded regions are topics, nearby points are near-paraphrases, and a circle's size is how often the query came back.
Colour
SimulatedReal search
Hover a query to see its counterpart · click a topic to focus it · zoom with Ctrl/⌘ + scroll, a pinch, double-click or +
Queries
34 queries · click a column to sort
| Query / type | Search | Intent | Query class | Routing format | Cluster | Freq ↓ | Weight |
|---|---|---|---|---|---|---|---|
are digital textbook rentals cheaper than buying for homeschoolers IMPLICIT | Google ↗ AI Mode ↗ | The user wants an opinion or rule of thumb on whether renting actually saves money over time in a homeschool setting. | — | faq_page | digital textbook rental rules and avail… | 2x of 3 | |
how long do digital textbook rentals last for homeschoolers RELATED | Google ↗ AI Mode ↗ | The user wants to know the duration limits of digital rentals to ensure they cover a full academic year. | — | faq_page | digital textbook rental rules and avail… | 2x of 3 | |
cost to rent vs buy digital math textbooks middle school REFORMULATION | Google ↗ AI Mode ↗ | The user wants a direct price comparison between renting and purchasing digital math books for grades 6-8. | — | comparison_table | renting versus buying digital textbooks | 1x of 3 | |
cost to rent vs buy digital math textbook common core middle school REFORMULATION | Google ↗ AI Mode ↗ | Direct cost comparison between renting and purchasing middle school digital math textbooks. | — | comparison_table | renting versus buying digital textbooks | 1x of 3 | |
cost to rent vs buy digital middle school common core math textbooks REFORMULATION | Google ↗ AI Mode ↗ | The user wants a direct restatement of the core pricing comparison between renting and purchasing digital textbooks. | — | comparison_table | renting versus buying digital textbooks | 1x of 3 | |
homeschool curriculum digital license subscription pricing middle school math RELATED | Google ↗ AI Mode ↗ | The user wants to see subscription pricing models specifically tailored for homeschoolers. | — | pricing_page | specific curriculum digital license pri… | 1x of 3 | |
homeschool middle school math textbook rental price comparison RELATED | Google ↗ AI Mode ↗ | The user is looking for alternative sources or specific aggregator sites that rent out homeschool math curricula. | — | web_article | textbook rental price comparison | 1x of 3 | |
homeschool curriculum digital license pricing middle school math RELATED | Google ↗ AI Mode ↗ | Understand standard digital license pricing specifically structured for homeschoolers. | — | pricing_page | specific curriculum digital license pri… | 1x of 3 | |
can homeschoolers buy individual digital student licenses for textbooks IMPLICIT | Google ↗ AI Mode ↗ | The user wants to know if publishers allow individual or retail homeschool customers to purchase single digital licenses. | — | faq_page | digital textbook rental rules and avail… | 1x of 3 | |
renting digital school textbooks vs buying lifetime access cost analysis COMPARATIVE | Google ↗ AI Mode ↗ | The user wants a financial breakdown of short-term rental versus long-term digital ownership. | — | web_article | subscription versus permanent license c… | 1x of 3 | |
common core math textbook rental price comparison 6th 7th 8th grade COMPARATIVE | Google ↗ AI Mode ↗ | Compare textbook rental prices across different middle school grade levels. | — | comparison_table | textbook rental price comparison | 1x of 3 | |
common core math textbook digital license cost purchase vs rental COMPARATIVE | Google ↗ AI Mode ↗ | The user wants a breakdown of the specific financial differences associated with digital licensing models. | — | pricing_page | renting versus buying digital textbooks | 1x of 3 | |
common core math curriculum providers middle school digital editions ENTITY EXPANSION | Google ↗ AI Mode ↗ | The user wants a list of popular publishers offering middle school common core math digital books. | — | buyers_guide | free open source math curriculum | 1x of 3 | |
savvas envision math middle school digital license pricing homeschool ENTITY EXPANSION | Google ↗ AI Mode ↗ | The user wants to see actual pricing for a popular middle school common core math publisher. | — | product_spec_sheet | specific curriculum digital license pri… | 1x of 3 | |
pearson eny math digital subscription cost homeschool ENTITY EXPANSION | Google ↗ AI Mode ↗ | Find exact pricing for a major common core middle school math curriculum publisher. | — | product_spec_sheet | specific curriculum digital license pri… | 1x of 3 | |
best budget friendly homeschool middle school math options PERSONALIZED | Google ↗ AI Mode ↗ | The user wants recommendations for affordable math curricula suitable for home education. | — | review_roundup | budget friendly math curriculum options | 1x of 3 | |
budget friendly middle school common core math curriculum for homeschool PERSONALIZED | Google ↗ AI Mode ↗ | The user wants alternative, budget-conscious suggestions for teaching middle school math at home. | — | buyers_guide | budget friendly math curriculum options | 1x of 3 | |
how to save money on homeschool middle school math curriculum PERSONALIZED | Google ↗ AI Mode ↗ | Find budget-friendly alternatives and saving tips for middle school homeschooling math. | — | web_article | budget friendly math curriculum options | 1x of 3 | |
middle school common core math textbook rental prices REFORMULATION | Google ↗ AI Mode ↗ | The user wants to find rental rates specifically for grade 6-8 common core math books. | — | pricing_page | textbook rental price comparison | 1x of 3 | |
digital textbook subscription vs permanent license cost educational REFORMULATION | Google ↗ AI Mode ↗ | Analyze the financial difference between temporary subscriptions and permanent digital licenses. | — | glossary/definition | subscription versus permanent license c… | 1x of 3 | |
digital textbook subscription models for homeschool math grades 6 to 8 REFORMULATION | Google ↗ AI Mode ↗ | The user is searching for subscription-based access models specifically for middle school grade bands. | — | web_article | publisher subscription and purchase mod… | 1x of 3 | |
can homeschoolers rent digital textbooks from chegg or vitalsource ENTITY EXPANSION | Google ↗ AI Mode ↗ | Check if major digital textbook rental platforms service individual homeschoolers. | — | faq_page | digital textbook rental rules and avail… | 1x of 3 | |
is it cheaper to buy used physical or rent digital middle school math books COMPARATIVE | Google ↗ AI Mode ↗ | The user wants to evaluate if digital rentals beat used physical books on price. | — | comparison_table | renting versus buying digital textbooks | 1x of 3 | |
homeschool math curriculum calculator cost comparison tool RELATED | Google ↗ AI Mode ↗ | Use an interactive tool to calculate total math curriculum expenses over multiple years. | — | calculator/tool | budget friendly math curriculum options | 1x of 3 | |
is it legal to rent digital school textbooks for individual homeschooling IMPLICIT | Google ↗ AI Mode ↗ | The user wants to verify if individual homeschoolers are legally allowed to purchase or rent institutional digital licenses. | — | forum/qna | digital textbook rental rules and avail… | 1x of 3 | |
homeschool digital textbook platform subscription fees per student ENTITY EXPANSION | Google ↗ AI Mode ↗ | The user wants to understand per-student platform fees associated with digital homeschool curricula. | — | product_spec_sheet | publisher subscription and purchase mod… | 1x of 3 | |
eureka math digital license cost for homeschoolers ENTITY EXPANSION | Google ↗ AI Mode ↗ | The user wants pricing details for another major common core math program (Eureka Math / EngageNY). | — | pricing_page | specific curriculum digital license pri… | 1x of 3 | |
middle school common core math ebook rental periods and fees IMPLICIT | Google ↗ AI Mode ↗ | Understand rental duration limits and associated hidden fees for digital textbooks. | — | web_article | textbook rental price comparison | 1x of 3 | |
open source common core math curriculum middle school free IMPLICIT | Google ↗ AI Mode ↗ | The user wants to find free or open-source alternatives to paid digital licenses. | — | web_article | free open source math curriculum | 1x of 3 | |
secondhand digital textbook licenses homeschool math COMPARATIVE | Google ↗ AI Mode ↗ | The user wants to know if used or transferred digital licenses exist as a cheaper alternative to renting or buying new. | — | glossary/definition | digital textbook rental rules and avail… | 1x of 3 | |
reddit homeschool best cheap digital math curriculum middle school RELATED | Google ↗ AI Mode ↗ | Get peer recommendations and real experiences regarding affordable digital math options. | — | forum/qna | budget friendly math curriculum options | 1x of 3 | |
calculating total cost of homeschool math curriculum digital vs physical RELATED | Google ↗ AI Mode ↗ | The user wants a tool or method to calculate overall expenses across different format choices. | — | calculator/tool | specific curriculum digital license pri… | 1x of 3 | |
open source common core math textbooks middle school free download COMPARATIVE | Google ↗ AI Mode ↗ | Find free or open educational resource alternatives to paid rental/purchase models. | — | dataset | free open source math curriculum | 1x of 3 | |
digital textbook license vs open educational resources cost comparison COMPARATIVE | Google ↗ AI Mode ↗ | The user wants to weigh the financial impact of paid digital licensing against free open resources. | — | pdf_whitepaper | subscription versus permanent license c… | 1x of 3 |
Passes
Does another pass still surface new queries? A flattening curve means the fan-out has stabilised.
Geminix = pass, y = cumulative unique queries
| Model | Pass | Target | Generated | Seconds | Tokens (in / out) | Notes |
|---|---|---|---|---|---|---|
| gemini-3.5-flash-lite | 1 | 12 | 12 | — | 915 / 1,518 | |
| gemini-3.5-flash-lite | 2 | 12 | 12 | — | 915 / 1,428 | |
| gemini-3.5-flash-lite | 3 | 12 | 12 | — | 915 / 1,449 |