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Worked examples: a ledger that closes, and one that does not

Two illustrative ledgers for a rack of AI inference servers over 24 hours. The figures are invented to teach the method; they are not a measurement of any real system.

Article · Reviewed 3 November 2026

Illustrative only

Every figure on this page is illustrative, chosen to show how the method works. None is a measurement of a real system.

Example A: the ledger closes

Example A: illustrative ledger that closes
AccountkWh over 24 hoursLabel
Intake (M4)1,200.0Measured
ΔReserve (UPS battery)+4.0Measured
Work690.0Measured
Overhead410.0Measured (sub-metered)
Waste96.0Estimated
Sum of accounts1,200.0—
Closure residual r+0.00%Pass if |r| ≤ 1.5%

The accounts add up to the intake, so the residual is +0.00%, inside the 1.5% combined uncertainty. Overhead is sub-metered, which satisfies the rule that one account besides Intake is measured independently. Waste is Estimated, so the whole result is labeled Estimated, not Measured.

The ratios from Example A

  • Rack energy at M3 over the same 24 hours: 980 kWh (illustrative).
  • Overhead Ratio: OR(M4/M3) ↓ 1.22.
  • Decision Yield with 2,400,000 passing decisions: DY(M3) ↑ 2,449 decisions per kWh.

Example B: the ledger does not close

Example B: illustrative ledger that fails to close
AccountkWh over 24 hoursLabel
Intake (M4)1,140.0Measured
ΔReserve (UPS battery)+4.0Measured
Work690.0Measured
Overhead410.0Measured (sub-metered)
Waste96.0Estimated
Sum of accounts1,200.0—
Closure residual r-5.26%Pass if |r| ≤ 1.5%

Here the accounts exceed the intake by 60 kWh, a residual of -5.26%. That is outside the uncertainty, so the result is reported as not closed.

Diagnosing the residual

  1. Check that every meter covers the boundary it claims. Here, the intake meter sits after the uninterruptible power supply (UPS).
  2. Check that the accounts sit inside that boundary. The UPS conversion losses, 60 kWh, were booked to Overhead, but they happen upstream of the intake meter.
  3. Fix the boundary, not the numbers: move the intake meter upstream of the UPS, or remove upstream losses from Overhead and report them separately.
  4. Re-run the closure check. With the boundary fixed, the ledger matches Example A and closes.

What this shows

Most ledgers that fail do so because of a boundary error, not arithmetic. That is why JL-26 makes the meter point part of every result.

Questions

Why publish an example that fails?

Because a check that never fails proves nothing. Showing how a failure is found and fixed is the clearest way to show the rule is enforced.

Keep reading

Take the next step.

Two illustrative Joule Ledgers for an AI inference rack: one that closes within uncertainty and one that fails, with the residual diagnosed step by step.