Sparkls
10/12/2025, 5:19 PMmd
Token cost calculation:
Base cost (no system prompt):
0.0015 USD/min
With your system prompt:
0.14761 USD/min
Difference:
0.14761 - 0.0015 = 0.14611 USD/min from system prompt
Your system prompt tokens:
3798 tokens
Price per 1M input tokens (Sonnet 4.5):
$3/1M input = $0.000003 per token
Formula they're using:
cost_per_min = (tokens × price_per_token × messages_per_min)
Checking math:
0.14611 / 60 seconds = 0.002435 per second
0.002435 / 0.000003 = 811.67 tokens per second
811.67 / 3798 = 0.214 messages per second
= 12.8 messages per minute
Their estimation formula:
system_prompt_tokens × $0.000003 × ~13 messages/min ≈ cost/min
3798 × 0.000003 × 13 = 0.148 USD/min ✓
They assume ~13 message exchanges per minute to calculate the per-minute cost impact of system prompts.
https://cdn.discordapp.com/attachments/1426982494774890547/1426982495085400174/CleanShot_2025-10-12_at_19.15.402x.png?ex=68ed3482&is=68ebe302&hm=b521bd2e5a6d983c6a4dfd4313ab764f1642f13b09f6107575d7702d8423675a&Chiranjeet Mishra
10/12/2025, 5:19 PMChiranjeet Mishra
10/15/2025, 6:13 AM