Technical study — August 2026

Computational sobriety: what we can prove, what we don't claim

A verdict computed by the Codex (pure arithmetic) versus an equivalent analysis produced by LLM inference — the gap, calculated, sourced, with its limits.

×3×10⁸
minimum gap vs. LLM
0 GPU
dedicated to the calculation
0
trained model
1 of 4
limits we own up to below
Sources: Google (official Gemini disclosure, 08/2025), Jegham et al. 2025 (arXiv:2505.09598), EPRI (2024/2025), Patterson et al. 2021 (arXiv:2104.10350), ADEME/Arcep (2022 data, published 01/2025), The Shift Project. Full calculation in the next section.

Not "are our servers green" — "is our calculation structurally more sober"

The common intuition is wrong: most of digital's impact doesn't come from computation

Per ADEME/Arcep (2022 data, published January 2025), digital technology accounts for 4.4% of France's carbon footprint. Within that total, device manufacturing accounts for roughly 50% — versus 46% for data centers (usage). The Shift Project's thesis ("Lean ICT", 2018) therefore still held in 2022: it's hardware manufacturing, not computation's electricity, that dominates digital's impact.

4.4%
FR carbon footprint, digital (ADEME 2022)
~50%
device manufacturing share
46%
data centers share (sharply up since 2020: 16%)
11%
of French electricity

This is not a stable gap. The data-center share nearly tripled between 2020 and 2022, before generative AI's data-center boom even took off. This study does not claim "manufacturing dominates forever" — it's true today, and the trend is reversing fast.

Sources: ADEME/Arcep, notre-environnement.gouv.fr (01/2025); The Shift Project, "Lean ICT" (2018).

An EQΦS verdict is arithmetic — not inference

An EQΦS score (Λ, φ(S)) is a weighted or geometric mean over 9 to 144 parameters — a few thousand floating-point operations. An equivalent analysis produced by an LLM is a language-model inference: an energetically different object, by several orders of magnitude.

EQΦS SIDE

9 to 144 parameters (dimension grid, coupling matrices) × ~20 FLOP/parameter (a wide margin: multiplication, log, exp, pow, summation) = 180 to 2,880 FLOP. At 1 nanojoule/FLOP — a deliberately pessimistic assumption, an order of magnitude above the picojoule regime measured on dedicated accelerators (Koomey's law) — the calculation's energy sits between 5×10⁻¹¹ and 8×10⁻¹⁰ Wh.

LLM INFERENCE SIDE

Sourced range for a short prompt: 0.24 Wh (Google Gemini, official disclosure, August 2025 median) to 2.9 Wh (EPRI). Intermediate academic figure: 0.42 Wh (Jegham et al. 2025, arXiv:2505.09598, infrastructure-aware benchmark across 30 models).

ComparisonGap
LLM low bound (0.24 Wh) vs. most expensive EQΦS calc (144 param.)×3×10⁸
LLM median (0.42 Wh, academic) vs. most expensive EQΦS calc×5×10⁸
LLM high bound (2.9 Wh, EPRI) vs. lightest EQΦS calc (9 param.)×6×10¹⁰
HONEST READING
Even in the scenario least favorable to EQΦS (144 parameters, pessimistic assumption) against the most favorable to the LLM (Google's official low bound), the gap remains roughly 300 million. This isn't a favorably rounded figure — it's robust across nearly any reasonable assumption within these ranges.

Two other facts, often absent from AI-vs-classical-computation comparisons: EQΦS trains no model (training GPT-3 alone is estimated at ~1,287 MWh, Patterson et al. 2021, arXiv:2104.10350 — a cost entirely absent from our approach), and the engine currently runs on the two founders' own laptops, not on dedicated server infrastructure provisioned for the occasion.

Four limits we own up to — otherwise it would be greenwashing

Our own internal methodology (the "Digital Responsibility & Green IT" library) forbids displaying "green" without proving it. Here's what stays true only with nuance, without discarding it.

1. Production is not "zero AI"

The verdict calculation is pure arithmetic — not the research, drafting, and formatting of our studies, which are AI-assisted (systematic disclosure on our deliverables). The sobriety claim applies to the calculation engine, not the entire production process.

2. Manufacturing dominates — for now

True in 2022 at the macro level (ADEME: 50% manufacturing vs. 46% data centers), but the data-center share nearly tripled in two years, driven by AI. This is not a fixed fact.

3. Rebound effect is a real risk

Making a structural analysis 500× cheaper (US$390 vs. €200,000 at a consulting firm) can mechanically increase the total volume of audits performed — the Jevons paradox applied to AI is documented (arXiv:2501.16548). Each individual calculation still costs orders of magnitude less; total impact depends on volume, which we don't claim is negligible without real data.

4. Web hosting is not verified "green"

The site and questionnaires are hosted in France/EU (Amen) — compliant with PDPA and digital sovereignty, but with no identified environmental certification to date. We don't include it in the sobriety claim.

Nothing stated without a reference

LLM inference energy

Google (official Gemini disclosure, 08/2025) · Jegham et al. 2025, "How Hungry is AI?", arXiv:2505.09598 · EPRI, "Powering Intelligence" (2024/2025)

Training energy

Patterson et al. 2021, "Carbon Emissions and Large Neural Network Training", arXiv:2104.10350 · Meta, Llama 3/3.1 model cards

CPU compute efficiency

Koomey's law (Koomey et al., revisited 2024, Cluster Computing)

Digital footprint

The Shift Project, "Lean ICT" (2018) · ADEME/Arcep, 2022 data (published 01/2025, notre-environnement.gouv.fr)

Rebound effect / Jevons paradox

"From Efficiency Gains to Rebound Effects: The Problem of Jevons' Paradox in AI's Polarized Environmental Debate", ACM FAccT 2025, arXiv:2501.16548

Green IT / digital responsibility

The Shift Project · GreenIT.fr · ADEME — internal EQΦS methodological framework

Per-request LLM energy remains a disputed topic (a 10x uncertainty acknowledged by the research community itself) — we cited sourced ranges, not a single figure chosen to fit the demonstration.

You just read the calculation, not a promise.

Three doors into deterministic decision-making.

Computed on your data, your case, your framing. Not an opinion — a reproducible mathematical verdict.

01 See the full method Transparency on our calculation engine and production method. Discover 02 Full EQΦS diagnostic Complete structural diagnostic. From US$2,490. See the offer 03 Talk to the team 30 min with Sébastien Beldent or Olivier Delhomme. Book a call
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