Cost and Energy.
GPU-hours times a price is dollars; times watts is energy; times the grid is carbon. Every step hides an assumption.
Every published training cost starts from GPU-hours. Meta’s model card for Llama 3.1 gives 1.46 million H100 GPU-hours for 8B, 7.0 million for 70B and 30.84 million for 405B, with estimated location-based emissions of 11 390 tonnes of CO₂-equivalent for all three. DeepSeek’s report gives 2.788 million H800 GPU-hours for DeepSeek-V3 and converts them to $5.576 million at an assumed rental price of $2 per GPU-hour — explicitly excluding the research and ablations before the final run.
Turning GPU-hours into money, energy and emissions takes three assumptions: a price per GPU-hour; a power per GPU (700 W at full load for these chips) times the data centre’s power usage effectiveness (PUE), the ratio of total facility power to IT power; and the carbon intensity of the electricity. The workshop makes all three adjustable and shows what each published number implies about them.
Below: left, the dollars for each published run at the chosen price. Right, energy and emissions for the selected run at the chosen PUE and grid intensity.
- Convert GPU-hours to dollars, energy and emissions.
- Define PUE and carbon intensity.
- Recover the assumptions behind a published figure.
- Explain what published costs leave out.
Three assumptions per number
Llama 3.1 405B’s 30.84 million GPU-hours cost about $61.7 million at $2 an hour, draw 23,747 MWh at a PUE of 1.1 and emit 9,499 tonnes of CO₂ on a 400 g/kWh grid. Meta’s own 11 390 tonnes for all three models, divided by their GPUs’ energy at 700 W, implies about 414 g/kWh with no facility overhead — a typical grid mix; with those assumptions the 405B run alone comes to 8,937 tonnes, close to the model card’s 8 930. A cluster of 16 384 such GPUs draws 12.6 MW, which is why Meta reports the grid noticing when they all pause at once.
DeepSeek-V3’s 2.788 million GPU-hours give its $5.58 million at the same price — a figure widely repeated as “the cost of the model”, though the report itself says it excludes prior research and experiments, and the price is a rental assumption, not what the cluster cost to build. Every published cost is the final run’s GPU-hours times someone’s assumptions; comparing two of them means checking that the assumptions match.
Terms
- GPU-hour
- One GPU used for one hour: the unit of training compute bills.
- PUE
- Power usage effectiveness: total facility power divided by IT power.
- Carbon intensity
- Grams of CO₂ emitted per kilowatt-hour of electricity.
- Location-based emissions
- Emissions computed from the local grid’s average intensity.
Sources
- Meta, Llama 3.1 model card, July 2024 (GPU-hours, 700 W TDP, location-based emissions).
- DeepSeek-V3 Technical Report, arXiv:2412.19437, Table 1.
- The Green Grid, “PUE: A Comprehensive Examination of the Metric”, 2012.