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Count Carer's Allowance earnings-limit pence in float32 in the property test - #2534

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MaxGhenis merged 3 commits into
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ca-earnings-limit-float32-test
Oct 21, 2026
Merged

MaxGhenis merged 3 commits into
mainfrom
ca-earnings-limit-float32-test

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@MaxGhenis

@MaxGhenis MaxGhenis commented Oct 20, 2026 •

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Fixes #2532

What and why

test_bounds_and_differential checks that is_gainfully_employed_for_carers_allowance is true exactly when weekly earnings, with a fraction of a penny disregarded (Computation of Earnings Regulations 1996 reg. 5), exceed the £204 limit. The test counted the pence on earnings converted to float64. The formula counts them on the stored float32 value. At pay of £10,608.52 in 2026, stored as 10,608.51953125, the formula counts 20,401 weekly pence (gainfully employed) and the test counted 20,400 (not gainfully employed). So a draw that lands there failed. Such a draw is rare, but the test wasn't derandomized, so CI could go red at random with no code change. The test now mirrors the formula's float32 arithmetic. The old float64 recompute applied reg. 5 exactly to the stored value, which is £204.00 a week (20,400.9991 pence floored). The formula's float32 rounding gives £204.01, which matches the £10,608.52 entered. Whether the formula should count pence in float32 at all is #2541: for the 2020-21 to 2024-25 limits the same rounding goes the other way, and a carer a penny a week over the limit keeps full Carer's Allowance. This PR leaves the model alone.

This is the same pattern #2518 fixed in test_carers_allowance_pension_contribution_deduction_rate_properties.py, and the same fix:

  • _person() keeps each variable's stored dtype instead of converting to float.
  • A new _over_limit() counts the pence on that stored value, as the formula does. The bounds and tolerance checks convert with float(), so they compute exactly as before.
  • Three explicit @examples for test_bounds_and_differential: pay £10,608.00 (exactly £204.00 a week), pay £10,608.52 (£204.01 a week), each with no profit or pension, and pay £8,000 with a £5,000 trading loss and a 10% pension share (earnings £7,600, below the limit; the derandomized draws have no real loss and no earnings between a few pence and the limit).
  • test_a_penny_a_week_over_the_2026_limit_ends_entitlement asserts the outcome at £10,608.00 (not gainfully employed, full rate) and £10,608.52 (gainfully employed, nil) directly, not only agreement with _over_limit.
  • derandomize=True on the file's three property tests, as in 116 of the 145 Hypothesis test files in the repo.

Test only: no model source changes, and no change to any output.

Invariant under test

For a carer in England in 2026 with any pay, trading profit and pension share drawn: is_gainfully_employed_for_carers_allowance equals floor(stored_earnings / 52 * 100 + 1e-6) / 100 > 204, computed in the stored dtype. The allowance is nil when that holds and the full rate otherwise. The other invariants in the file (bounds, monotonicity, unearned income) are unchanged.

Test plan

  • For policy changes: not applicable (test only).
  • uvx ruff format and uvx ruff check on the changed file: clean. uvx ruff format --check . passes over the repo (1,847 files).
  • Changelog fragment: changelog.d/2532.fixed.md.
  • pytest policyengine_uk/tests/test_carers_allowance_earnings_limit_properties.py -n 4: 13 passed at 3b466a0 (11 at 370aade). This used the locked environment (policyengine-core 3.33.2, numpy 2.5.4, hypothesis 6.169.0, uv.lock identical to main's), importing this branch's source.
  • Mutant. A copy of the new file with only the old float64 conversion restored in _person() (float(np.asarray(...)[0])) fails at the pay=10608.52 example, at both 370aade and 3b466a0:
    >       assert bool(result["is_gainfully_employed_for_carers_allowance"]) == over
    E       assert True == np.False_
    E       Failing explicit example: test_bounds_and_differential(
    E           pay=10608.52,
    E           profit=0.0,
    E           pension_share=0.0,
    E       )
    
  • Exhaustive sweep around the limit. Every float32 pay from 10,607.900390625 to 10,608.599609375 (717 values), each a carer in England in 2026, in one simulation. Earnings equal pay in this band, so this covers every stored earnings value from £204.00 to £204.01 a week.
    • The model makes 83 of them gainfully employed. The first is 10,608.51953125.
    • _over_limit disagrees with the model on 0 of the 717.
    • The old float64 recomputation disagrees on exactly 1: 10,608.51953125.
    • The allowance is nil exactly when the carer is gainfully employed, on all 717.

Review

Reproducer: policyengine_uk/tests/test_carers_allowance_earnings_limit_properties.py::test_bounds_and_differential

axiom: n/a: test-only change, no model source changes

🤖 Generated with Claude Code

…test

test_bounds_and_differential recomputed the reg. 5 penny rounding on
earnings converted to float64, while is_gainfully_employed_for_carers_allowance
floors the weekly pence on the stored float32 value. At pay of 10,608.52 in
2026 (stored as 10,608.51953125) the formula counts 20,401 weekly pence and
the float64 recomputation 20,400, so a draw there failed at random.

Keep each variable's stored dtype in _person() and count the pence on it
through _over_limit(); tolerance checks convert with float(). Add explicit
examples at 10,608.00 (exactly at the limit) and 10,608.52 (a penny over),
and derandomize the three property tests.

Fixes #2532

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
@github-actions

github-actions Bot commented Oct 20, 2026 •

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Aggregate impact on certified data: pass

Base 68ce6a6fbc against head c289b1db51, both on enhanced_frs_2024_25.h5 (policyengine-uk-data 1.58.1, sha256 056e80fd8e91), fiscal years 2025-26 to 2031-32. Each year is a full microsimulation run on each side.

Checks: 0 broken by this change, 1 failing on both sides, 0 fixed. Moves flagged for review: 0 (thresholds in report_spec.yaml; a flag does not fail the job).

Workflow run and full report

Notes

  • In the years a figure from fewer than 10 records is suppressed (spending.disabled_students_allowance), every total containing it, and the decile incomes, are rebuilt from their other components, so no published total includes it. Those totals are marked †. A change is withheld where the two sides leave out different figures and can't be lined up.

Moves flagged for review

None.

Spending by benefit and service

Measure 2025-26 2026-27 2027-28 2028-29 2029-30 2030-31 2031-32
Disabled Students' Allowance suppressed suppressed suppressed suppressed suppressed suppressed suppressed

Caseloads

Measure 2025-26 2026-27 2027-28 2028-29 2029-30 2030-31 2031-32
Disabled Students' Allowance suppressed suppressed suppressed suppressed suppressed suppressed suppressed

Household net income by decile

No household's net income changes in any year.

No change in any year: receipts by tax head; government balance, each component counted once; model totals; components the model counts twice; household income totals; population; poverty rates; people in poverty; inequality; mean household net income in each side's own deciles; standard reform costings (change in gov_balance); standard reforms: change in each reform's target.

Checks failing on both base and head (1)
  • VAT is never negative (sign:vat): 2025-26: 76 units below zero, a weighted £-54,797,972 in total; 2026-27: 76 units below zero, a weighted £-56,271,349 in total; 2027-28: 76 units below zero, a weighted £-57,609,146 in total
Counted-once check

Each of 84 components was raised by £1 per unit in 2026-27, and every head of its totals was read household by household: its own head must rise by exactly £1, no other tax head may move, no other benefit may rise, and the model's own total must move by what its heads moved. A head that breaks a rule is measured again twice: with every other head held at its baseline value, and with every other head held at its value after the first £1 while the component rises again. It fails where either still shows the response. 0 failed; 0 were skipped.

Provenance
Side Commit Runtime Environment hash Partition hash Time
base main 68ce6a6fbc uk 2.141.10 (files 6748b40f2292), core 3.33.2, py 3.13.16 aarch64 115483567a8e f210f83d5be4 1023.93s
head #2534 merged into main c289b1db51 uk 2.141.10 (files 6748b40f2292), core 3.33.2, py 3.13.16 aarch64 115483567a8e f210f83d5be4 1037.08s

Dataset: hf://policyengine/policyengine-uk-data-private/enhanced_frs_2024_25.h5@2526edbbb687a3b54dbb11272e5389e4b62d2ac2, sha256 056e80fd8e9151d78f432a25cde863340baee81304c6216a37fb575ce8563784 (verified on both sides), policyengine-uk-data 1.58.1.

Receipts by tax head: head levels
Measure (head) 2025-26 2026-27 2027-28 2028-29 2029-30 2030-31 2031-32
Income tax £299.38bn £319.14bn £336.66bn £351.81bn £367.35bn £385.48bn £403.83bn
National Insurance (employee and self-employed) £52.58bn £54.94bn £56.75bn £58.48bn £60.62bn £62.57bn £65.03bn
National Insurance (employer) £152.64bn £159.18bn £164.14bn £168.73bn £176.11bn £181.72bn £188.90bn
Employer NI change borne by capital £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn
Employer NI change borne by consumers £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn
Capital gains tax £12.62bn £13.06bn £13.55bn £14.04bn £14.54bn £15.09bn £15.65bn
Student loan repayments £7.83bn £8.12bn £8.35bn £8.56bn £8.79bn £9.04bn £9.38bn
VAT £253.71bn £260.53bn £266.72bn £273.14bn £279.83bn £286.71bn £293.71bn
Change in VAT from its baseline £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn
VAT on private school fees £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn
Fuel duties £24.53bn £24.64bn £26.64bn £26.69bn £26.42bn £25.76bn £26.35bn
Alcohol duties £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn
Tobacco duties £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn
Vehicle excise duties £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn
TV licence fee £4.28bn £4.43bn £4.44bn £4.46bn £4.49bn £4.51bn £4.53bn
Council tax £49.56bn £52.45bn £55.78bn £59.39bn £62.98bn £66.74bn £70.70bn
High value council tax surcharge £0.00bn £0.00bn £0.00bn £0.48bn £0.49bn £0.51bn £0.52bn
Northern Ireland domestic rates £0.55bn £0.58bn £0.61bn £0.63bn £0.67bn £0.70bn £0.73bn
Business rates £31.73bn £31.73bn £31.73bn £31.73bn £31.73bn £31.73bn £31.73bn
Stamp duty land tax (own purchases, and corporate until the £10.06bn £10.56bn £10.98bn £11.40bn £11.81bn £12.23bn £12.64bn
Land transaction tax (Wales) £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn
Land and buildings transaction tax (Scotland) £0.01bn £0.01bn £0.02bn £0.02bn £0.02bn £0.02bn £0.02bn
Unspecified tax change borne by capital £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn
Unspecified tax change borne by consumers £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn
Wealth tax £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn
Wealth tax excluding the main residence £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn
Land value tax £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn
Carbon tax £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn
Spending by benefit and service: head levels
Measure (head) 2025-26 2026-27 2027-28 2028-29 2029-30 2030-31 2031-32
State Pension £122.50bn £127.12bn £128.28bn £130.21bn £134.05bn £138.02bn £142.08bn
Pension Credit £6.66bn £7.04bn £7.02bn £7.09bn £7.21bn £7.34bn £7.44bn
Winter Fuel Payment £1.70bn £1.68bn £1.59bn £1.57bn £1.57bn £1.55bn £1.52bn
Pension Age Winter Heating Payment (Scotland) £0.19bn £0.20bn £0.20bn £0.21bn £0.21bn £0.22bn £0.22bn
Universal Credit £78.78bn £83.09bn £84.89bn £86.65bn £87.58bn £89.00bn £90.33bn
Housing Benefit £8.59bn £8.92bn £9.19bn £9.33bn £9.61bn £9.87bn £10.15bn
Council Tax Reduction £1.99bn £2.03bn £2.08bn £2.13bn £2.18bn £2.23bn £2.28bn
Employment and Support Allowance (income-related) £2.12bn £2.18bn £2.23bn £2.28bn £2.33bn £2.39bn £2.45bn
Employment and Support Allowance (contribution-based) £5.22bn £5.36bn £5.49bn £5.62bn £5.76bn £5.90bn £6.04bn
Jobseeker's Allowance (income-based) £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn
Jobseeker's Allowance (contribution-based) £0.29bn £0.30bn £0.30bn £0.31bn £0.32bn £0.33bn £0.33bn
Income Support £0.12bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn
Working Tax Credit £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn
Child Tax Credit £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn
Incapacity Benefit £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn
Personal Independence Payment £27.05bn £28.19bn £28.94bn £29.64bn £30.37bn £31.11bn £31.87bn
Disability Living Allowance £7.52bn £7.83bn £8.04bn £8.24bn £8.44bn £8.65bn £8.86bn
Attendance Allowance £8.71bn £9.08bn £9.32bn £9.55bn £9.78bn £10.02bn £10.26bn
Carer's Allowance £4.50bn £4.69bn £4.81bn £4.93bn £5.05bn £5.17bn £5.29bn
Carer Support Payment (Scotland) £0.35bn £0.37bn £0.38bn £0.39bn £0.40bn £0.41bn £0.41bn
Carer's Allowance Supplement (Scotland) £0.00bn £0.05bn £0.05bn £0.05bn £0.05bn £0.05bn £0.05bn
Severe Disablement Allowance £0.03bn £0.03bn £0.03bn £0.03bn £0.03bn £0.03bn £0.03bn
Industrial Injuries Disablement Benefit £0.51bn £0.52bn £0.53bn £0.54bn £0.56bn £0.57bn £0.59bn
Armed Forces Compensation Scheme £0.61bn £0.62bn £0.64bn £0.65bn £0.67bn £0.69bn £0.70bn
War Widow's or Widower's Pension £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn
Child Benefit £16.23bn £16.91bn £17.32bn £17.73bn £18.16bn £18.60bn £19.04bn
Scottish Child Payment £0.50bn £0.52bn £0.53bn £0.55bn £0.56bn £0.57bn £0.58bn
Two Child Limit Payment (Scotland, counterfactual) £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn
Healthy Start vouchers £0.05bn £0.05bn £0.05bn £0.05bn £0.05bn £0.05bn £0.05bn
Maternity Allowance £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn
Statutory Maternity Pay £3.32bn £3.41bn £3.49bn £3.57bn £3.66bn £3.75bn £3.84bn
Statutory Paternity Pay £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn
Statutory Sick Pay £1.13bn £1.16bn £1.19bn £1.22bn £1.25bn £1.28bn £1.31bn
Sure Start Maternity Grant £0.01bn £0.01bn £0.01bn £0.01bn £0.01bn £0.01bn £0.01bn
Bereavement Support Payment £0.67bn £0.69bn £0.70bn £0.72bn £0.74bn £0.76bn £0.78bn
Tax-Free Childcare £0.55bn £0.56bn £0.57bn £0.58bn £0.60bn £0.61bn £0.59bn
Extended childcare entitlement £2.66bn £3.14bn £3.23bn £3.30bn £3.38bn £3.47bn £3.55bn
Universal childcare entitlement £3.32bn £3.59bn £3.69bn £3.78bn £3.88bn £3.99bn £4.08bn
Targeted childcare entitlement £0.57bn £0.60bn £0.62bn £0.63bn £0.65bn £0.66bn £0.67bn
Care to Learn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn
Childcare Grant £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn
Parents' Learning Allowance £0.20bn £0.20bn £0.20bn £0.20bn £0.20bn £0.20bn £0.20bn
Adult Dependants' Grant £0.06bn £0.06bn £0.04bn £0.04bn £0.04bn £0.04bn £0.04bn
Travel Grant £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn
Disabled Students' Allowance suppressed suppressed suppressed suppressed suppressed suppressed suppressed
16 to 19 Bursary Fund £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn
NHS spending £204.68bn £205.46bn £206.22bn £207.04bn £207.96bn £208.89bn £209.79bn
State education spending £0.02bn £0.02bn £0.02bn £0.02bn £0.02bn £0.02bn £0.02bn
Transport subsidy spending £25.15bn £25.25bn £25.34bn £25.44bn £25.55bn £25.67bn £25.78bn
Cost-of-living support payment £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn
Energy Bills Rebate £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn
Energy Price Guarantee subsidy £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn
Basic income £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn
Disability basic income £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn
Other public spending budget change £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn
Caseloads: head levels
Measure (head) 2025-26 2026-27 2027-28 2028-29 2029-30 2030-31 2031-32
State Pension 11,308k 11,208k 10,906k 10,812k 10,860k 10,908k 10,955k
Pension Credit 1,490k 1,489k 1,477k 1,455k 1,457k 1,454k 1,450k
Winter Fuel Payment 7,091k 7,008k 6,593k 6,509k 6,491k 6,377k 6,242k
Pension Age Winter Heating Payment (Scotland) 806k 807k 807k 805k 809k 812k 816k
Universal Credit 6,371k 6,379k 6,409k 6,419k 6,395k 6,387k 6,371k
Housing Benefit 1,254k 1,252k 1,254k 1,240k 1,244k 1,247k 1,249k
Council Tax Reduction 3,184k 3,210k 3,223k 3,244k 3,261k 3,279k 3,292k
Employment and Support Allowance (income-related) 187k 188k 188k 189k 190k 190k 191k
Employment and Support Allowance (contribution-based) 722k 724k 727k 730k 733k 737k 740k
Jobseeker's Allowance (income-based) 0k 0k 0k 0k 0k 0k 0k
Jobseeker's Allowance (contribution-based) 67k 67k 68k 68k 68k 69k 69k
Income Support 25k 0k 0k 0k 0k 0k 0k
Working Tax Credit 0k 0k 0k 0k 0k 0k 0k
Child Tax Credit 0k 0k 0k 0k 0k 0k 0k
Incapacity Benefit 0k 0k 0k 0k 0k 0k 0k
Personal Independence Payment 3,581k 3,595k 3,608k 3,623k 3,639k 3,655k 3,671k
Disability Living Allowance 1,296k 1,301k 1,306k 1,311k 1,317k 1,323k 1,329k
Attendance Allowance 1,701k 1,708k 1,714k 1,721k 1,729k 1,736k 1,744k
Carer's Allowance 1,038k 1,042k 1,046k 1,050k 1,055k 1,059k 1,064k
Carer Support Payment (Scotland) 81k 82k 82k 82k 83k 83k 83k
Carer's Allowance Supplement (Scotland) 0k 82k 82k 82k 83k 83k 83k
Severe Disablement Allowance 4k 4k 4k 4k 4k 4k 4k
Industrial Injuries Disablement Benefit 137k 138k 139k 139k 140k 140k 141k
Armed Forces Compensation Scheme 94k 94k 94k 95k 95k 95k 96k
War Widow's or Widower's Pension 0k 0k 0k 0k 0k 0k 0k
Child Benefit 8,136k 8,165k 8,185k 8,215k 8,249k 8,282k 8,314k
Scottish Child Payment 352k 354k 355k 356k 357k 358k 357k
Two Child Limit Payment (Scotland, counterfactual) 0k 0k 0k 0k 0k 0k 0k
Healthy Start vouchers 200k 201k 202k 203k 204k 204k 205k
Maternity Allowance 0k 0k 0k 0k 0k 0k 0k
Statutory Maternity Pay 334k 335k 336k 338k 339k 341k 342k
Statutory Paternity Pay 0k 0k 0k 0k 0k 0k 0k
Statutory Sick Pay 182k 183k 183k 184k 185k 186k 186k
Sure Start Maternity Grant 26k 26k 26k 27k 27k 27k 27k
Bereavement Support Payment 98k 98k 99k 99k 100k 100k 101k
Tax-Free Childcare 1,017k 1,028k 1,028k 1,033k 1,034k 1,038k 1,023k
Extended childcare entitlement 665k 671k 675k 677k 682k 686k 687k
Universal childcare entitlement 986k 989k 992k 997k 1,002k 1,013k 1,015k
Targeted childcare entitlement 119k 120k 120k 121k 121k 122k 121k
Care to Learn 0k 0k 0k 0k 0k 0k 0k
Childcare Grant 0k 0k 0k 0k 0k 0k 0k
Parents' Learning Allowance 98k 99k 99k 100k 100k 100k 101k
Adult Dependants' Grant 18k 18k 12k 13k 13k 13k 13k
Travel Grant 0k 0k 0k 0k 0k 0k 0k
Disabled Students' Allowance suppressed suppressed suppressed suppressed suppressed suppressed suppressed
16 to 19 Bursary Fund 0k 0k 0k 0k 0k 0k 0k
Cost-of-living support payment 0k 0k 0k 0k 0k 0k 0k
Energy Bills Rebate 0k 0k 0k 0k 0k 0k 0k
Energy Price Guarantee subsidy 0k 0k 0k 0k 0k 0k 0k
Basic income 0k 0k 0k 0k 0k 0k 0k
Disability basic income 0k 0k 0k 0k 0k 0k 0k
Government balance, each component counted once: head levels
Measure (head) 2025-26 2026-27 2027-28 2028-29 2029-30 2030-31 2031-32
Government receipts, each component once £899.48bn £939.37bn £976.38bn £1,009.57bn £1,045.85bn £1,082.80bn £1,123.71bn
Government spending £536.58bn † £550.92bn † £557.25bn † £564.32bn † £572.87bn † £582.12bn † £591.28bn †
Government balance, each receipt once £362.90bn † £388.45bn † £419.13bn † £445.25bn † £472.97bn † £500.68bn † £532.43bn †
Benefits in household_benefits but not in gov_spending £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn £0.00bn
Model totals: head levels
Measure (head) 2025-26 2026-27 2027-28 2028-29 2029-30 2030-31 2031-32
gov_tax £902.61bn £942.50bn £979.51bn £1,012.70bn £1,048.98bn £1,085.93bn £1,126.84bn
household_tax £496.26bn £522.79bn £548.64bn £570.82bn £593.03bn £617.49bn £644.24bn
pre_budget_change_household_tax £488.43bn £514.67bn £540.29bn £561.78bn £583.75bn £607.95bn £634.34bn
gov_spending £536.58bn † £550.92bn † £557.25bn † £564.32bn † £572.87bn † £582.12bn † £591.28bn †
household_benefits £536.58bn † £550.92bn † £557.25bn † £564.32bn † £572.87bn † £582.12bn † £591.28bn †
gov_balance £366.03bn † £391.58bn † £422.26bn † £448.38bn † £476.10bn † £503.81bn † £535.56bn †
Components the model counts twice: head levels
Measure (head) 2025-26 2026-27 2027-28 2028-29 2029-30 2030-31 2031-32
corporate_sdlt, counted again inside expected_sdlt £3.13bn £3.13bn £3.13bn £3.13bn £3.13bn £3.13bn £3.13bn
Household income totals: head levels
Measure (head) 2025-26 2026-27 2027-28 2028-29 2029-30 2030-31 2031-32
Household market income £1,657.06bn £1,719.25bn £1,771.68bn £1,821.99bn £1,872.88bn £1,930.99bn £2,001.98bn
Household net income £1,658.11bn † £1,706.62bn † £1,738.40bn † £1,772.54bn † £1,808.64bn † £1,850.28bn † £1,901.98bn †
Household net income (HBAI definition) £1,466.67bn £1,513.40bn £1,545.60bn £1,578.60bn £1,612.63bn £1,651.67bn £1,702.07bn
Population: head levels
Measure (head) 2025-26 2026-27 2027-28 2028-29 2029-30 2030-31 2031-32
People 69,514k 69,778k 70,036k 70,316k 70,626k 70,944k 71,249k
Benefit units 35,247k 35,381k 35,512k 35,654k 35,811k 35,972k 36,127k
Households 31,167k 31,285k 31,401k 31,526k 31,665k 31,808k 31,944k
Poverty rates: head levels
Measure (head) 2025-26 2026-27 2027-28 2028-29 2029-30 2030-31 2031-32
Absolute poverty, before housing costs: everyone 15.9% 14.9% 15.5% 15.6% 15.7% 15.8% 15.7%
Absolute poverty, before housing costs: children 23.7% 20.9% 21.6% 21.4% 21.6% 21.8% 21.7%
Absolute poverty, before housing costs: working-age adults 13.8% 13.4% 14.0% 14.1% 14.2% 14.3% 14.3%
Absolute poverty, before housing costs: pensioners 13.7% 13.1% 13.2% 13.4% 13.5% 13.6% 13.6%
Absolute poverty, after housing costs: everyone 21.1% 20.6% 21.3% 21.5% 21.9% 22.2% 22.3%
Absolute poverty, after housing costs: children 32.1% 30.3% 30.9% 31.1% 31.7% 32.3% 32.5%
Absolute poverty, after housing costs: working-age adults 19.6% 19.4% 20.2% 20.4% 20.8% 21.0% 21.0%
Absolute poverty, after housing costs: pensioners 12.7% 12.5% 12.6% 12.9% 13.0% 13.1% 13.4%
Relative poverty, before housing costs: everyone 16.9% 16.4% 16.4% 16.5% 16.6% 16.7% 16.7%
Relative poverty, before housing costs: children 25.6% 23.5% 23.2% 23.2% 23.3% 23.4% 23.4%
Relative poverty, before housing costs: working-age adults 14.4% 14.4% 14.7% 14.8% 14.9% 15.1% 15.0%
Relative poverty, before housing costs: pensioners 14.8% 14.9% 14.1% 14.3% 14.2% 14.2% 14.4%
Relative poverty, after housing costs: everyone 21.7% 21.3% 21.4% 21.5% 21.7% 21.8% 22.0%
Relative poverty, after housing costs: children 33.0% 31.6% 31.2% 31.1% 31.5% 31.6% 32.0%
Relative poverty, after housing costs: working-age adults 20.0% 20.0% 20.3% 20.4% 20.6% 20.8% 20.9%
Relative poverty, after housing costs: pensioners 13.5% 13.1% 12.7% 12.8% 12.7% 12.7% 12.8%
People in poverty: head levels
Measure (head) 2025-26 2026-27 2027-28 2028-29 2029-30 2030-31 2031-32
Absolute poverty, before housing costs: everyone 11,051k 10,427k 10,848k 10,947k 11,079k 11,209k 11,218k
Absolute poverty, before housing costs: children 3,560k 3,141k 3,261k 3,253k 3,298k 3,334k 3,334k
Absolute poverty, before housing costs: working-age adults 5,864k 5,737k 6,070k 6,165k 6,237k 6,315k 6,319k
Absolute poverty, before housing costs: pensioners 1,627k 1,549k 1,517k 1,529k 1,544k 1,561k 1,565k
Absolute poverty, after housing costs: everyone 14,660k 14,362k 14,899k 15,116k 15,439k 15,724k 15,870k
Absolute poverty, after housing costs: children 4,809k 4,556k 4,676k 4,719k 4,832k 4,939k 4,994k
Absolute poverty, after housing costs: working-age adults 8,333k 8,326k 8,775k 8,931k 9,120k 9,275k 9,329k
Absolute poverty, after housing costs: pensioners 1,518k 1,480k 1,449k 1,466k 1,487k 1,509k 1,547k
Relative poverty, before housing costs: everyone 11,760k 11,456k 11,504k 11,625k 11,706k 11,868k 11,914k
Relative poverty, before housing costs: children 3,840k 3,538k 3,514k 3,525k 3,546k 3,582k 3,602k
Relative poverty, before housing costs: working-age adults 6,154k 6,160k 6,365k 6,465k 6,537k 6,651k 6,651k
Relative poverty, before housing costs: pensioners 1,766k 1,758k 1,625k 1,634k 1,623k 1,634k 1,661k
Relative poverty, after housing costs: everyone 15,065k 14,863k 14,993k 15,090k 15,314k 15,490k 15,653k
Relative poverty, after housing costs: children 4,948k 4,756k 4,711k 4,715k 4,795k 4,840k 4,919k
Relative poverty, after housing costs: working-age adults 8,511k 8,559k 8,822k 8,917k 9,068k 9,192k 9,260k
Relative poverty, after housing costs: pensioners 1,605k 1,548k 1,460k 1,458k 1,452k 1,457k 1,475k
Inequality: head levels
Measure (head) 2025-26 2026-27 2027-28 2028-29 2029-30 2030-31 2031-32
Gini coefficient, equivalised HBAI income before housing costs 0.3074 0.3051 0.3065 0.3071 0.3077 0.3083 0.3093
Mean household net income in each side's own deciles: head levels
Measure (head) 2025-26 2026-27 2027-28 2028-29 2029-30 2030-31 2031-32
Decile 1: mean household_net_income per household £17,707 † £17,997 † £17,941 † £17,992 † £18,326 † £18,523 † £18,686 †
Decile 2: mean household_net_income per household £28,362 † £29,040 † £28,672 † £29,013 † £29,373 † £29,779 † £30,329 †
Decile 3: mean household_net_income per household £34,607 † £35,902 † £36,508 † £37,008 † £37,263 † £37,825 † £38,514 †
Decile 4: mean household_net_income per household £39,329 † £40,908 † £41,807 † £42,695 † £43,186 † £43,984 † £45,129 †
Decile 5: mean household_net_income per household £44,871 † £46,147 † £47,077 † £47,609 † £48,379 † £49,251 † £50,073 †
Decile 6: mean household_net_income per household £47,930 † £49,324 † £50,272 † £51,070 † £52,170 † £52,939 † £54,222 †
Decile 7: mean household_net_income per household £56,320 † £57,578 † £58,469 † £59,414 † £60,124 † £61,607 † £63,192 †
Decile 8: mean household_net_income per household £69,250 † £70,361 † £71,635 † £72,869 † £74,327 † £75,790 † £77,563 †
Decile 9: mean household_net_income per household £79,671 † £82,008 † £83,242 † £84,444 † £86,085 † £87,570 † £90,640 †
Decile 10: mean household_net_income per household £117,648 † £120,458 † £122,406 † £124,560 † £126,772 † £129,080 † £131,872 †
Standard reform costings (change in gov_balance): head levels
Measure (head) 2025-26 2026-27 2027-28 2028-29 2029-30 2030-31 2031-32
Raise basic rate by 1pp £6.22bn £6.50bn £6.71bn £6.90bn £7.11bn £7.35bn £7.62bn
Raise higher rate by 1pp £3.54bn £3.82bn £4.05bn £4.27bn £4.49bn £4.76bn £4.96bn
Raise personal allowance by ~800GBP/year £-3.83bn £-3.96bn £-4.03bn £-4.10bn £-4.20bn £-4.30bn £-2.02bn
Raise child benefit by 25GBP/week per additional child £-2.00bn £-1.76bn £-1.64bn £-1.54bn £-1.44bn £-1.34bn £-1.24bn
Reduce Universal Credit taper rate to 20% £-20.54bn £-21.10bn £-21.45bn £-21.88bn £-21.96bn £-22.33bn £-22.81bn
Raise Class 1 main employee NICs rate to 10% £11.06bn £11.51bn £11.83bn £12.14bn £12.47bn £12.81bn £13.29bn
Raise VAT standard rate by 2pp £25.01bn £25.68bn £26.29bn £26.92bn £27.58bn £28.26bn £28.95bn
Raise additional rate by 3pp £2.83bn £3.07bn £3.27bn £3.47bn £3.67bn £3.91bn £4.23bn
Raise the Universal Credit standard allowance by 10% £-3.04bn £-3.17bn £-3.24bn £-3.32bn £-3.37bn £-3.43bn £-3.47bn
Raise the State Pension by 10% £-8.92bn £-9.13bn £-9.03bn £-9.06bn £-9.26bn £-9.51bn £-9.78bn
Standard reforms: change in each reform's target: head levels
Measure (head) 2025-26 2026-27 2027-28 2028-29 2029-30 2030-31 2031-32
Raise basic rate by 1pp: change in income_tax £6.36bn £6.65bn £6.87bn £7.07bn £7.29bn £7.53bn £7.81bn
Raise higher rate by 1pp: change in income_tax £3.55bn £3.83bn £4.06bn £4.28bn £4.50bn £4.78bn £4.97bn
Raise personal allowance by ~800GBP/year: change in income_tax £-3.96bn £-4.11bn £-4.19bn £-4.27bn £-4.36bn £-4.47bn £-1.77bn
Raise child benefit by 25GBP/week per additional child: change in child_benefit £2.34bn £2.15bn £2.03bn £1.92bn £1.82bn £1.71bn £1.59bn
Reduce Universal Credit taper rate to 20%: change in universal_credit £20.53bn £21.09bn £21.44bn £21.87bn £21.95bn £22.32bn £22.80bn
Raise Class 1 main employee NICs rate to 10%: change in national_insurance £11.33bn £11.79bn £12.13bn £12.44bn £12.78bn £13.13bn £13.62bn
Raise VAT standard rate by 2pp: change in vat £25.01bn £25.68bn £26.29bn £26.92bn £27.58bn £28.26bn £28.95bn
Raise additional rate by 3pp: change in income_tax £2.83bn £3.07bn £3.27bn £3.47bn £3.67bn £3.91bn £4.23bn
Raise the Universal Credit standard allowance by 10%: change in universal_credit £3.04bn £3.17bn £3.25bn £3.32bn £3.38bn £3.43bn £3.48bn
Raise the State Pension by 10%: change in state_pension £12.25bn £12.71bn £12.83bn £13.02bn £13.41bn £13.80bn £14.21bn

From the GPT-6.1 Sol review of #2534:
- Add test_a_penny_a_week_over_the_2026_limit_ends_entitlement, which
  asserts the outcome for 10,608.00 (not gainfully employed, full rate)
  and 10,608.52 (gainfully employed, nil) directly, not only agreement
  with _over_limit.
- Add an @example with a trading loss and earnings below the limit
  (pay 8,000, profit -5,000, pension share 0.1); the derandomized draws
  have neither.
- Correct the changelog: the value the float64 recompute got wrong is
  stored just below the exact boundary, and float32 arithmetic rounds
  it across.

The float32 formula's own boundary behaviour is #2541.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
The re-review of #2534 found that the derandomized draws do include
below-limit earners, at £0 to £0.12 a year. What they lack is a real
trading loss and earnings between a few pence and the limit. Comment
only.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
@MaxGhenis
MaxGhenis marked this pull request as ready for review October 21, 2026 09:03
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Hand-off to the UK hub

Land through the merge queue once Test / Result and Lint are green.

MaxGhenis added a commit that referenced this pull request Oct 21, 2026
The #2543 review found that taking stored earnings to the nearest penny
misjudges whole-pence pay less half of an odd-pence pension contribution.
Net earnings of 52 x L + 0.515 are 52 x L + 0.51 in law, because reg. 5
counts the half penny of the reg. 10(4)(b) deduction as a penny. Float32
holds that value just above the half penny for most limits, so nearest
penny counted it up and over the limit, at all ten limits.

The formula now takes the nearest half penny (an exact quarter penny down),
disregards a half penny, then divides by 52 in whole pence (1996 reg.
8(1)(b)(iii) with reg. 5). np.floor(x / n) replaces // so that infinite
earnings stay over the limit. Every whole-pence and half-penny amount below
65,536 pounds is recovered exactly.

Tests: odd-pence contributions at every limit in every set year, a
Hypothesis property checking pay less half a contribution against the law
in integer arithmetic, YAML Cases 23 and 24, float32 values either side of
52L + 0.515 and 52L + 0.5175 as explicit examples, and boundary examples
for every #2541 limit. The Fraction references follow the new rule.
changelog.d/2532.fixed.md (from #2534) no longer describes this head, so it
is removed; the wording fixes the review asked for are included.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
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MaxGhenis added this pull request to the merge queue Oct 21, 2026
Merged via the queue into main with commit 8a4c67d Oct 21, 2026
16 of 17 checks passed
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MaxGhenis deleted the ca-earnings-limit-float32-test branch October 21, 2026 11:12
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Merged by the UK hub (session local_8e19f9d5, Opus 5.5) on its merge gates, from the owner session's hand-off (local_68ce44ef). One merge-queue enqueue, pinned to head ddede0b61eb95e679bda09029d7ddf88b991304d.

  • Change: test only. One property-test file plus changelog.d/2532.fixed.md, with no model source change.
  • Reviews:
    • GPT-6.1 Sol at 370aade: REQUEST_CHANGES. All four findings fixed.
    • Opus 5.5 at 3b466a0: APPROVE. Its five wording nits are fixed in ddede0b.
    • An independent check of 3b466a0..ddede0b found it comment-only, with Hypothesis's function_digest unchanged.
    • Evidence: ~/reviews/uk-2534-ca-float32/.
  • Tests: the file passes (13 with -n 4). The float64-restored mutant fails, as intended, at pay = 10,608.52. The merge queue re-tests against current main.
  • Impact: none. Test only.
  • Follow-up: Count Carer's Allowance earnings-limit pence exactly #2543, which fixes the formula's own float32 boundary for Carer's Allowance: a penny a week over the 2020-21 to 2024-25 earnings limits counts as within the limit #2541, must update _over_limit here if it changes that arithmetic.

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Carer's Allowance earnings-limit property test counts pence in float64, not the model's float32

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