已知newapi项目中，显示的价格为默认分组倍率: 2，按量计费费用 = 分组倍率 × 模型倍率 ×...

Domanda

已知newapi项目中，显示的价格为默认分组倍率: 2，按量计费费用 = 分组倍率 × 模型倍率 × （提示token数 + 补全token数 × 补全倍率）/ 500000 （单位：美元），gemini-2.0-flash模型倍率：0.0625，补全倍率：4，分组倍率：2，提示 $0.06 / 1M tokens，补全$ 0.25 / 1M tokens。请告诉我实际的gemini-2.0-flash模型的提示和补全的分别美元费用

Pensiero

Breaking down the pricing

I’m working through the cost details for the gemini-2.0-flash model's prompt and completion fees in USD, factoring in group and model multiples.

Allocating costs

I’m assigning the cost for 1 prompt token, considering the formula factors, and converting to million tokens to match the base prices of prompt and completion.

Breaking down costs

I’m isolating the costs for prompt and completion tokens, then converting to per million tokens. This separation clarifies the cost per million tokens, which matches the base prices.

Identifying cost factors

I’m aligning the derived costs with the base prices for clarity, considering the impact of group and model multiples, and confirming the prompt and completion costs for the gemini-2.0-flash model.

Calculating the cost

OK, let me see. For the gemini-2.0-flash model, we derive a cost of $0.06 multiplied by the model multiple of 0.0625, possibly adding the grouping multiple.

Reflecting on formula accuracy

OK, let's ensure the formula's precision in calculating the $0.06 for prompt and$ 0.25 for completion tokens aligns with the gemini-2.0-flash model's specific parameters.

Calculating completion token cost

I’m mapping out the cost of 1 million completion tokens for the gemini-2.0-flash model, which is $1.0. This complements the earlier$ 0.25 cost for prompt tokens.

Adjusting my approach

I'm recalculating by dividing the model multiple by 16 and factoring in the completion token multiplier of 4, aligning the gemini-2.0-flash costs with the base model.

Verifying calculations

Checking if the gemini-2.0-flash model's prompt and completion costs align with the base model, considering the grouping and model multiples for accurate pricing.

Piecing together formulas

I’m aligning the derived costs with the base model's $0.25 and$ 1.0 per million tokens for prompt and completion, ensuring accuracy across all elements.

Confirming costs

I’m validating the gemini-2.0-flash model's final costs of $0.25 per million prompt tokens and$ 1.0 per million completion tokens, ensuring they align with the base model's pricing.

Cost differentiation

I’m shedding light on the $0.25 per million tokens for prompt and$ 1.0 per million tokens for completion, with a grouping multiple of 2, crucial for understanding the final cost.

Reasoned about gemini-2.0-flash费用 for 28 seconds

Risposta

根据给出的计费公式：

\text{按量计费费用} = \text{分组倍率} \times \text{模型倍率} \times \frac{\bigl(\text{提示token数} + \text{补全token数} \times \text{补全倍率}\bigr)}{500000}

以及题目中的参数：

分组倍率 = 2
模型倍率（gemini-2.0-flash）= 0.0625
补全倍率 = 4
（想求）提示部分的单价和补全部分的单价

我们分别对「提示 1M tokens」和「补全 1M tokens」进行计算即可得到实际单价。

1. 提示部分（Prompt）

令提示 token 数 = 1,000,000，补全 token 数 = 0，代入公式：

\text{费用} = 2 \times 0.0625 \times \frac{1{,}000{,}000}{500{,}000} = 2 \times 0.0625 \times 2 = 0.25 \text{美元}

因此，提示部分实际价格 = 0.25 美元 / 1M tokens

2. 补全部分（Completion）

令补全 token 数 = 1,000,000，提示 token 数 = 0，代入公式（注意还要乘以补全倍率 4）：

\text{费用} = 2 \times 0.0625 \times \frac{1{,}000{,}000 \times 4}{500{,}000} = 2 \times 0.0625 \times 8 = 1.0 \text{美元}

因此，补全部分实际价格 = 1.00 美元 / 1M tokens

最终结论

gemini-2.0-flash 模型提示费用：0.25 美元 / 百万（1M）Prompt Tokens
gemini-2.0-flash 模型补全费用：1.00 美元 / 百万（1M）Completion Tokens