DeepSeek R1 for Mathematical Proofs: Cost & Reasoning Setup

Complete Analysis: 13,000 tokens for DeepSeek R1

Complete analysis of pricing, performance, and use cases for DeepSeek's DeepSeek R1 model .

$0.020270 Total Cost
13,000 Total Tokens
1 minute, 55.01 seconds Processing Time
113 Effective Tokens/Sec

Click Recalculate to update after making changes

Select AI Model

DeepSeek R1
DeepSeekMax Context: 163,840 tokens
$0.55 / $2.19 per 1M tokens
▼
▼
Use Batch API (50% discount)
0%
Provider-specific multipliers applied after all calculations
Enable for cache discounts
Select platform to enforce context limits
Number of requests (max 1M). Summary view auto-enabled >10k.

Calculate Token Costs

$0.020270 Total Cost
$0.002750 Input Cost
$0.017520 Output Cost
$0.000000 Unit Cost
$0.000000 Search Cost
$0.000000 Request Fee
$0.000000 Tool Fee
$0.000000 Code Execution
13,000Total Tokens
$0.001559Cost per 1K
641,342Tokens per $
📊 Advanced Cost Breakdown

Processing Speed

1m 55s Processing Time
120 Tokens/Second
220ms Time to First Token
113 Effective Speed

Model Comparison

Select a model to see comparisons with competitors.

Model Information

Select a model to see detailed information.

🔄 Advanced Options

⚡ Optimization
Flat fee per session (e.g., $0.03 for Code Interpreter)
Hourly storage fee for cached data
First 50 hours free, $0.05/hour after
🧠 Reasoning & Thinking
Manual thinking tokens (billed at output rate)
🔧 Special Modes
Enable 6.0x Fast Mode multiplier
📚 Research & Citations
Enable $1.00/$4.00 rates + $10.00/1k search
Enable research tier pricing
Fee per source cited
🎤 Realtime Audio & Video
Session length for billing

DeepSeek R1 DeepSeek

$0.020270
Total Cost
👁️
Vision/Images
✗ Not Available
🎧
Audio Processing
✗ Not Available
🎥
Video Analysis
✗ Not Available
🔧
Tool Usage
✗ Not Available
📄
OCR Support
✗ Not Available
📊
Batch API
✓ Available
⚡
Caching
✓ Available
90% savings

💰 Total Cost Calculation (from Plugin)

Base Cost (No Optimizations) $0.020270 Input: $0.002750
Output: $0.017520 (rounded ~ $0.02)
Optimized Cost $0.020270 Input: $0.002750
Output: $0.017520 (rounded ~ $0.02)
Unit: $0.000000
Fees: $0.000000

Detailed Cost Analysis (from Plugin)

For 5,000 input tokens and 8,000 output tokens:

  • Input Cost: $0.002750
  • Output Cost: $0.017520 (rounded ~ $0.02)
  • Total Cost: $0.020270
  • Cost per 1K tokens: $0.001559
  • Tokens per dollar: 641,342 tokens
  • Context Window: 163840 tokens

Speed & Performance Analysis

With a processing speed of 120 tokens per second and 220ms time to first token:

  • Processing Time: 1 minute, 55.01 seconds
  • Latency: 220 milliseconds to first token
  • Base Throughput: 120 tokens/second
  • Effective Throughput: 113 tokens/second (temperature-adjusted)

Best Use Cases

MathematicsScientific LogicTheorem Verification

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✨ Market Recommendations AI Model Registry

← Back to DeepSeek R1
📋 Active Input Parameters
Input Tokens: 5,000
Output Tokens: 8,000
Rank AI Model & Provider Total Cost vs DeepSeek R1
🏆 DeepSeek V4 Flash
DeepSeek
 $0.002590 Best Value ↓ 87.2% cheaper
🥈 Ministral 3 (14B)
Mistral AI
 $0.002600 ↓ 87.2% cheaper
🥉 Llama 4 Scout
Meta AI
 $0.002800 ↓ 86.2% cheaper
#4 Mistral Small 3
Mistral AI
 $0.002900 ↓ 85.7% cheaper
#5 Voxtral Small 24B
Mistral AI
 $0.002900 ↓ 85.7% cheaper
#6 Devstral Small 2
Mistral AI
 $0.002900 ↓ 85.7% cheaper
#7 Llama 4 Maverick (400B)
Meta AI
 $0.005550 (rounded ~ $0.01) ↓ 72.6% cheaper
#8 Nemotron 3 Super
Mistral AI
 $0.008060 (rounded ~ $0.01) ↓ 60.2% cheaper
#9 DeepSeek V4 Pro
DeepSeek
 $0.009135 ↓ 54.9% cheaper
#10 Devstral 2
Mistral AI
 $0.009200 ↓ 54.6% cheaper
#11 Llama 3.3 70B
Meta AI
 $0.012600 (rounded ~ $0.01) ↓ 37.8% cheaper
#12 Grok Code Fast 1
xAI
 $0.013000 (rounded ~ $0.01) ↓ 35.9% cheaper
#13 Gemini 3.1 Flash Lite
Google
 $0.013250 (rounded ~ $0.01) ↓ 34.6% cheaper
#14 Mistral Large 3
Mistral AI
 $0.014500 (rounded ~ $0.01) ↓ 28.5% cheaper
#15 Gemini 2.5 Flash
Google
 $0.021500 (rounded ~ $0.02) ↑ 6.1% more
#16 Grok 4.3
xAI
 $0.026250 (rounded ~ $0.03) ↑ 29.5% more
#17 Gemini 3.1 Flash
Google
 $0.026500 (rounded ~ $0.03) ↑ 30.7% more
#18 Kimi K2.5
Moonshot AI
 $0.027000 (rounded ~ $0.03) ↑ 33.2% more
#19 Kimi K2.6
Moonshot AI
 $0.036750 (rounded ~ $0.04) ↑ 81.3% more
#20 o4-mini Deep Research
OpenAI
 $0.037000 (rounded ~ $0.04) ↑ 82.5% more
#21 GPT-5.4 mini
OpenAI
 $0.039750 ↑ 96.1% more
#22 o4-mini
OpenAI
 $0.040700 ↑ 100.8% more
#23 Claude Haiku 4.5
Anthropic
 $0.045000 (rounded ~ $0.05) ↑ 122% more
#24 Magistral Medium
Mistral AI
 $0.050000 ↑ 146.7% more
#25 Grok 4.20 Beta
xAI
 $0.058000 (rounded ~ $0.06) ↑ 186.1% more
#26 Sonar Deep Research
Perplexity
 $0.074000 (rounded ~ $0.07) ↑ 265.1% more
#27 Gemini 3.5 Flash
Google
 $0.079500 ↑ 292.2% more
#28 Gemini 2.5 Pro
Google
 $0.086250 (rounded ~ $0.09) ↑ 325.5% more
#29 Gemini 3.1 Pro
Google
 $0.106000 (rounded ~ $0.11) ↑ 422.9% more
#30 GPT-5.3 Codex Spark
OpenAI
 $0.120750 ↑ 495.7% more
#31 GPT-5.3 Instant
OpenAI
 $0.120750 ↑ 495.7% more
#32 GPT-5.4
OpenAI
 $0.132500 (rounded ~ $0.13) ↑ 553.7% more
#33 GPT-5.4 Thinking
OpenAI
 $0.132500 (rounded ~ $0.13) ↑ 553.7% more
#34 Claude Sonnet 4.6
Anthropic
 $0.135000 (rounded ~ $0.14) ↑ 566% more
#35 Sonar Pro
Perplexity
 $0.145000 (rounded ~ $0.15) ↑ 615.3% more
#36 Claude Opus 4.7
Anthropic
 $0.225000 (rounded ~ $0.23) ↑ 1010% more
#37 Claude Opus 4.8
Anthropic
 $0.225000 (rounded ~ $0.23) ↑ 1010% more
#38 Claude Opus 4.6
Anthropic
 $0.225000 (rounded ~ $0.23) ↑ 1010% more
#39 GPT-5.5
OpenAI
 $0.265000 (rounded ~ $0.27) ↑ 1207.4% more
#40 GPT-5.5 Instant
OpenAI
 $0.265000 (rounded ~ $0.27) ↑ 1207.4% more
#41 o3 Deep Research
OpenAI
 $0.370000 ↑ 1725.4% more
#42 o3 Pro
OpenAI
 $0.740000 ↑ 3550.7% more
#43 GPT-5.2 Pro
OpenAI
 $1.449000 ↑ 7048.5% more
#44 GPT-5.5 Pro
OpenAI
 $1.590000 ↑ 7744.1% more
#45 GPT-5.5 Pro
OpenAI
 $1.590000 ↑ 7744.1% more
🏆

DeepSeek V4 Flash
DeepSeek

$0.002590
vs DeepSeek R1: ↓ 87.2%
🥈

Ministral 3 (14B)
Mistral AI

$0.002600
vs DeepSeek R1: ↓ 87.2%
🥉

Llama 4 Scout
Meta AI

$0.002800
vs DeepSeek R1: ↓ 86.2%
#4

Mistral Small 3
Mistral AI

$0.002900
vs DeepSeek R1: ↓ 85.7%
#5

Voxtral Small 24B
Mistral AI

$0.002900
vs DeepSeek R1: ↓ 85.7%
#6

Devstral Small 2
Mistral AI

$0.002900
vs DeepSeek R1: ↓ 85.7%
#7

Llama 4 Maverick (400B)
Meta AI

$0.005550 (rounded ~ $0.01)
vs DeepSeek R1: ↓ 72.6%
#8

Nemotron 3 Super
Mistral AI

$0.008060 (rounded ~ $0.01)
vs DeepSeek R1: ↓ 60.2%
#9

DeepSeek V4 Pro
DeepSeek

$0.009135
vs DeepSeek R1: ↓ 54.9%
#10

Devstral 2
Mistral AI

$0.009200
vs DeepSeek R1: ↓ 54.6%
#11

Llama 3.3 70B
Meta AI

$0.012600 (rounded ~ $0.01)
vs DeepSeek R1: ↓ 37.8%
#12

Grok Code Fast 1
xAI

$0.013000 (rounded ~ $0.01)
vs DeepSeek R1: ↓ 35.9%
#13

Gemini 3.1 Flash Lite
Google

$0.013250 (rounded ~ $0.01)
vs DeepSeek R1: ↓ 34.6%
#14

Mistral Large 3
Mistral AI

$0.014500 (rounded ~ $0.01)
vs DeepSeek R1: ↓ 28.5%
#15

Gemini 2.5 Flash
Google

$0.021500 (rounded ~ $0.02)
vs DeepSeek R1: ↑ 6.1%
#16

Grok 4.3
xAI

$0.026250 (rounded ~ $0.03)
vs DeepSeek R1: ↑ 29.5%
#17

Gemini 3.1 Flash
Google

$0.026500 (rounded ~ $0.03)
vs DeepSeek R1: ↑ 30.7%
#18

Kimi K2.5
Moonshot AI

$0.027000 (rounded ~ $0.03)
vs DeepSeek R1: ↑ 33.2%
#19

Kimi K2.6
Moonshot AI

$0.036750 (rounded ~ $0.04)
vs DeepSeek R1: ↑ 81.3%
#20

o4-mini Deep Research
OpenAI

$0.037000 (rounded ~ $0.04)
vs DeepSeek R1: ↑ 82.5%
#21

GPT-5.4 mini
OpenAI

$0.039750
vs DeepSeek R1: ↑ 96.1%
#22

o4-mini
OpenAI

$0.040700
vs DeepSeek R1: ↑ 100.8%
#23

Claude Haiku 4.5
Anthropic

$0.045000 (rounded ~ $0.05)
vs DeepSeek R1: ↑ 122%
#24

Magistral Medium
Mistral AI

$0.050000
vs DeepSeek R1: ↑ 146.7%
#25

Grok 4.20 Beta
xAI

$0.058000 (rounded ~ $0.06)
vs DeepSeek R1: ↑ 186.1%
#26

Sonar Deep Research
Perplexity

$0.074000 (rounded ~ $0.07)
vs DeepSeek R1: ↑ 265.1%
#27

Gemini 3.5 Flash
Google

$0.079500
vs DeepSeek R1: ↑ 292.2%
#28

Gemini 2.5 Pro
Google

$0.086250 (rounded ~ $0.09)
vs DeepSeek R1: ↑ 325.5%
#29

Gemini 3.1 Pro
Google

$0.106000 (rounded ~ $0.11)
vs DeepSeek R1: ↑ 422.9%
#30

GPT-5.3 Codex Spark
OpenAI

$0.120750
vs DeepSeek R1: ↑ 495.7%
#31

GPT-5.3 Instant
OpenAI

$0.120750
vs DeepSeek R1: ↑ 495.7%
#32

GPT-5.4
OpenAI

$0.132500 (rounded ~ $0.13)
vs DeepSeek R1: ↑ 553.7%
#33

GPT-5.4 Thinking
OpenAI

$0.132500 (rounded ~ $0.13)
vs DeepSeek R1: ↑ 553.7%
#34

Claude Sonnet 4.6
Anthropic

$0.135000 (rounded ~ $0.14)
vs DeepSeek R1: ↑ 566%
#35

Sonar Pro
Perplexity

$0.145000 (rounded ~ $0.15)
vs DeepSeek R1: ↑ 615.3%
#36

Claude Opus 4.7
Anthropic

$0.225000 (rounded ~ $0.23)
vs DeepSeek R1: ↑ 1010%
#37

Claude Opus 4.8
Anthropic

$0.225000 (rounded ~ $0.23)
vs DeepSeek R1: ↑ 1010%
#38

Claude Opus 4.6
Anthropic

$0.225000 (rounded ~ $0.23)
vs DeepSeek R1: ↑ 1010%
#39

GPT-5.5
OpenAI

$0.265000 (rounded ~ $0.27)
vs DeepSeek R1: ↑ 1207.4%
#40

GPT-5.5 Instant
OpenAI

$0.265000 (rounded ~ $0.27)
vs DeepSeek R1: ↑ 1207.4%
#41

o3 Deep Research
OpenAI

$0.370000
vs DeepSeek R1: ↑ 1725.4%
#42

o3 Pro
OpenAI

$0.740000
vs DeepSeek R1: ↑ 3550.7%
#43

GPT-5.2 Pro
OpenAI

$1.449000
vs DeepSeek R1: ↑ 7048.5%
#44

GPT-5.5 Pro
OpenAI

$1.590000
vs DeepSeek R1: ↑ 7744.1%
#45

GPT-5.5 Pro
OpenAI

$1.590000
vs DeepSeek R1: ↑ 7744.1%
✨ How recommendations work (v8.6.0): We scan all active models in the registry and only include those that support ALL your current inputs. For token-based models, we check if they can handle your token counts. For special pricing models (OCR, video, audio), we verify they have the correct pricing structure. Features marked requested were in your inputs but not supported by that model. Now using official provider pricing without reseller markups.

Chain-of-Thought Logical Engine

DeepSeek R1 is optimized for pure mathematical reasoning. This calculator evaluates cost for long reasoning chains required for complex theorem verification.

Frequently Asked Questions

How accurate are these AI model cost calculations?
Our calculations are based on official pricing from each provider (Google, OpenAI, Anthropic, Meta, xAI, Perplexity, DeepSeek, Mistral) and are updated regularly. We account for all factors including multimodal inputs, caching discounts, batch API pricing, tool usage multipliers, OCR processing, audio minutes, silence fees, and research mode pricing. Note: Reseller markups and dedicated instance multipliers have been removed to reflect official provider pricing.
How do Market Recommendations work (v8.6.0)?
Our recommendation engine scans the entire model registry and only includes models that support ALL your current input parameters (tokens, images, video, audio, OCR, tools, batch API, etc.). It calculates exact costs with your settings and sorts by price, showing you the best value options that can handle your complete workflow. Special pricing models (OCR, video, audio, image generation) are properly handled and only appear when their specific input types are requested. v8.6.0 removes reseller markups (20% buffer) and dedicated instance multipliers to reflect official provider pricing.
What is the YemHub AI Calculator Tool?
The YemHub AI Calculator is the most comprehensive tool for estimating costs and comparing performance metrics across 50+ AI models. It calculates token-based pricing, analyzes multimodal processing, accounts for state-dependent pricing (context cliffs, tiered tunnels), provides optimization recommendations, and now offers intelligent market matching to find the best alternatives for your specific needs.