Diophantus
Free
Get started
5 sessions 1 key Beagle tokens Standard Basic graph Community
Riemann
$9 /month
Subscribe
50 sessions 3 keys Beagle tokens Advanced Full graph Web search Email support
$90/year, save 2 months
Descartes
$19 /month
Subscribe
200 sessions 5 keys Beagle tokens Depth control Full graph Web search Priority email
$190/year, save 2 months
Premium
Euclid
$39 /month
Subscribe
Unlimited sessions Unlimited keys Beagle tokens Max depth Graph + export Web search Priority support
$390/year, save 2 months

All prices in USD. Annual plans save ~17%. Cancel anytime and access continues through the end of your billing period. The built-in Beagle model is included on every tier with monthly token quotas. You can also bring your own API keys for additional providers. We never charge for model usage. Each tier includes a 7-day free trial of the next tier up. No credit card required to start.

Detailed comparison

Feature Diophantus Riemann Descartes Euclid
Saved sessions 5 50 200 Unlimited
LLM provider keys 1 3 5 Unlimited
Built-in Beagle model 1M tokens/mo 100M tokens/mo 300M tokens/mo 800M tokens/mo
Supported providers Beagle + BYO key Beagle + BYO key Beagle + BYO key Beagle + BYO key
Teaching quality Standard Advanced Advanced + depth control Max depth + customization
Tutor mode Enabled Enabled Enabled Enabled
Exam & assessment Enabled Enabled Enabled Enabled
Web search Enabled Enabled Enabled
Knowledge graph Basic Full Full Full + export
Mistake book Enabled Enabled Enabled Enabled
Diagnostic questions Enabled Enabled Enabled Enabled
LaTeX rendering Enabled Enabled Enabled Enabled
Real-time streaming Enabled Enabled Enabled Enabled
Support Community Email Priority email Priority + early access
FAQ

Frequently asked questions

No. Socrates comes with the built-in Beagle AI model that works out of the box on every tier with monthly token quotas. You can also bring your own API keys from OpenAI (GPT-5.5), Anthropic (Claude Opus 4.8, Sonnet 4.6), and any OpenAI-compatible endpoint (Together.ai, Groq, DeepSeek, vLLM, Ollama). We never charge for inference.
Diophantus (free) gives you up to 5 saved sessions, 1 LLM provider key, 1M Beagle tokens per month, standard teaching quality, a basic knowledge graph, and community support. All core features are included, such as LaTeX rendering, real-time streaming, tutor mode, exam and assessment, diagnostic questions, and the mistake book. No credit card needed. Just start learning immediately with Beagle.
Yes. Annual billing saves approximately 17%, effectively 2 months free. Riemann is $90/year (vs $108), Descartes is $190/year (vs $228), Euclid is $390/year (vs $468). You can choose monthly or annual during checkout. Annual plans can be cancelled anytime with pro-rated refunds.
Absolutely. Subscriptions are month-to-month with no long-term commitment. Upgrade instantly from your profile settings and the new features unlock immediately. Cancel any time. Your access continues through the end of the billing period. Downgrades take effect at the next billing cycle.
Euclid is our premium tier for power users and teams. Key differences: unlimited saved sessions vs 200, unlimited LLM provider keys vs 5, maximum teaching depth with full customization of the Socratic style, knowledge graph export (JSON/CSV), priority support with faster response times, and early access to new features before they ship to other tiers.
We don't offer refunds for partial months, but every subscription includes a 7-day free trial of the next tier up, so you can try before you commit. If you cancel during the trial period you won't be charged. Annual plans cancelled early may receive a pro-rated refund for remaining months.
Not yet, but we're working on it. If you're interested in team accounts, centralized billing, or managed deployments for your organization, email us at hello@topodrive.top and we'll keep you updated.
Currently we don't have a formal student discount program, but the free Diophantus tier includes all core teaching features. Many students use the free tier successfully with their own low-cost API keys. Email us at hello@topodrive.top if you have specific needs. We are flexible.

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