Releases 1.211.0 – 1.232.0

Newest first. Three numbers, and which of them moves says what happened to you rather than how much work it was.

The first moves when something that worked stops working: a query that used to answer and now does not, a saved list that will not load, a link you shared that no longer opens what it opened. It has never moved, and that is the whole of what it is for.

The second moves when the page answers something it could not answer before, or answers it better than it did. New grammar is the usual reason. A correction is the other, and a correction is not a break even though the answer changes underneath somebody: "days be christmas" used to say 154 days and now says nothing, because it was reading Belgium out of the word "be", and taking that away left the page more right rather than less useful. An answer that gains a drawing of what it just said counts here too.

The third moves when nothing you type comes back any different.

Numbers get skipped when it takes more than one commit to introduce a release, so only the release from the last commit goes out.

1.232.01 August 2026

Saying who was born was enough to make the question unanswerable

when do i turn 40 if i was born 5 jun 1990nothingWed, 5 Jun 2030
40th birthday if i was born 15 jun 1990Jul 2026 has only 31 daysSat, 15 Jun 2030
when do i turn 40 if my dob is 5 jun 1990nothingWed, 5 Jun 2030
what year was i born if i was 36nothing1989 or 1990
The three readers that point the age arithmetic somewhere other than today let "if" be followed by nothing except "born", so the two words anybody actually says were the two that made the question unanswerable. The plain age reader beside them had taken them since it was written: "how old am I if I was born 5 jun 1990" has always worked, so the file disagreed with itself about the commonest words in the sentence and gave the reader no way to tell which ones were wrong. The birthday one was worse than silent. It fell through to the date grammar, which read "40th" as a day of this month and said so, an error about a number nobody typed. All three share one clause now: a connector, whose birth it is, and the birth named as the verb or as the noun the form asked for. The subject may be left out but its verb may not, so "if my son was born" is a birth date and "if my son" is still nothing, which is what keeps this from answering questions it has not read.

1.231.11 August 2026

A birthday after a colon answered the date and saved nothing

andrei: 02/06/199710,652 days ago, and no name keptandrei = 02/06/1997, kept
andrei to nowcan't read that yet10,644 days
salary: 50000 usdthere's no month 0salary = 50000 usd, kept
The colon named a bare number and nothing else, so a date after one was read as a label: it answered how long ago, kept no name, and looked like it had worked. That is the worst of the three outcomes, because there is nothing to notice until the name is used. A date written in digits is a value now, and so is an amount with a unit or a currency on it. A named date is still a question: "Deadline: christmas" wants the days, not a variable.

1.231.01 August 2026

Fifty-seven rules had a formula written down and eight of them showed it

30000 a year forever at 4%750,000.00750,000.00, over PV = PMT ÷ i
why 2/10 net 30nothingpassing up the discount to keep the money longer is borrowing, at a rate no bank would quote
explain 30000 a year forever at 4%nothingif you only ever spend the interest the sum is never touched
The working line and the reason behind it went in on five rules and stopped there, which left a documented feature answering for a twelfth of what it claimed. Every money rule carries both now. They are keyed by rule rather than passed at each return, so the formula and its one clause sit together in one table and a reader is a lookup.

1.230.21 August 2026

A half does have a binary spelling

0.5 in binarya base writes whole numbers· the places after a point are halves and quarters, so 0.5 is 0.1 in binary
12 xor 2.5bits belong to whole numbers· there is no bit for a half
round 5 to the nearest 0you cannot round to the nearest nought· the nearest whole number is the one usually meant
Somebody asking for a half in binary has usually met the answer, because the places after the point there are halves and quarters. Hex and base seven get a different note, since the fraction is not the interesting part of those.

1.230.11 August 2026

A pinch is a real amount nobody has ever agreed on

1 pinch in gpinch isn't a unit I know· about 0.36 g, an eighth of a teaspoon
1 mol in gramsmol isn't a unit I know· a mole is a count, not a weight: it needs the substance's molar mass
1 amp in voltsnothing· current is not voltage: the two need a resistance between them
Three different failures were wearing one message. A pinch is a real amount nobody has agreed on, so it gets the figure a kitchen uses and is told the figure is nominal. A mole is a count and a decibel is a ratio, so neither becomes a weight without a fact this page does not hold, and naming the missing fact beats pretending the word was a typo.

1.230.01 August 2026

Three and a half in Roman numerals was answering with this year

3.5 in romanMMXXVIRoman numerals write whole numbers · the nearest is IV, which is 4
0.5 in romanthere's no day 0· the nearest is I, which is 1
Roman numerals write whole numbers, so the rule declined the fraction and the line fell through to a branch that reads a year. "3.5" parsed as a date and came back MMXXVI, which is this year, in a question that never mentioned it. The echo even said so. A wrong answer is worse than a blunt one, and this one was wrong quietly.

1.229.21 August 2026

Eleven more places that were not cities

3pm in atlantisatlantis isn't a place I know· not a real place
The clock reader refused a place eleven ways and none of them said which kind of not-a-place it was. They go through the same note the distance and sun readers use now, so the South Pole reads the same whichever question asked about it.

1.229.11 August 2026

The South Pole is a real place

sunrise at the north polethe north pole isn't a place I know· a real place with no time zone of its own: the sun rises once a year there
sunset in antarcticaantarctica isn't a place I know· name a station, such as McMurdo or Rothera
distance from earth to marsearth isn't a place I know· the planet this is all measured on
"Isn't a place I know" is true of a city that does not exist and misleading about the South Pole. Fourteen names that are real places, continents or planets now say which of the three they are, and Atlantis says it is not a real place rather than sounding like a gap in the table.

1.229.01 August 2026

"Canadian" is not a mistake, it is how the question is said

100 usd in canadiancanadian isn't a currency I have a rate for· try CAD
100 usd in krkr isn't a currency I have a rate for· the krone: DKK in Denmark, NOK in Norway, SEK in Sweden, ISK in Iceland
100 usd in bitcoinbitcoin isn't a currency I have a rate for· the rates here are the ECB's
Nobody says CAD out loud. The names people actually use now point at the code they mean, and the two that several countries share name the choice rather than pick one, since guessing between four rupees would be worse than asking. Bitcoin and gold say why there is no rate rather than pretending the word is a typo.

1.228.11 August 2026

One has no factors but itself, which is why it is not a prime

prime factors of 1factors are counted from 2 up· 1 has none but itself, which is exactly why it is not a prime
factors of 0factors are counted from 2 up· everything divides nought, so the list never ends
correlation 1 2 3 and 4 5those are 3 numbers and 2· drop the odd one out, or add one to the shorter list
Three refusals that were stating a rule without saying why it exists. One having no factors but itself is the entire reason it is not counted as prime, and nought having every number as a factor is the opposite problem.

1.228.01 August 2026

Nought over nought is indeterminate, not infinite

sqrt of -16that doesn't come out to a number· as an imaginary number it is 4i
0/0can't divide by zero· any number at all satisfies it
4000 in romanstops at MMMCMXCIX· past it needs a bar over the numeral
"That doesn't come out to a number" reads like the page has given up, and the square root of minus sixteen has an answer: it is four i. Dividing by nothing and dividing nothing by nothing are two different failures, and the second is the interesting one, since any number at all satisfies it. Ten refusals across the arithmetic now say what is on the other side of them.

1.227.21 August 2026

How many there are is the thing being asked

5th monday of february 2026Feb 2026 has no 5th Monday· there are 4 · the last is 23 Feb 2026
week 53 20272027 has no week 53· its last is week 52 · a year has 53 only when it starts on a Thursday
25/13/202625 and 13 can't be a month and a day· there are 12 months, so neither order reads
A month has four of most weekdays and five of a few, and which it has is the thing somebody typing "5th monday" wants to know. Saying how many there are and naming the last one answers it. The 53rd week gets the rule that decides it, since a year has one only when it starts on a Thursday.

1.227.11 August 2026

Nobody types the 31st of February by accident twice

31 feb 2026Feb 2026 has only 28 days· the last of them is Sat, 28 Feb 2026 · the next 29th is 2028
29 feb 2027Feb 2027 has only 28 days· the next 29th is 2028
0 jan 2026there's no day 0· the month opens on Thu, 1 Jan 2026
An impossible day of a real month is a typo for the last one, or somebody checking whether that month has that day. Either way the useful reply is the date they were reaching for, so it goes under the refusal with its weekday. February gets one line more: "29 feb 2027" is usually somebody asking whether 2027 is a leap year, and saying which year the next one is answers the question actually being asked.

1.227.01 August 2026

A space was the whole of the difference

12 fl oz in mlnothing354.882 ml
1 troy oz in gnothing31.1035 g
1 carat in gcarat isn't a unit I know0.2 g
1 furlong in chainsnothing10 chains
"12 floz in ml" answered and "12 fl oz in ml" said nothing, because the converter reads one word a side and a space was the whole of the difference. The squares have been joined up since they went in; the fluid ounce and the troy ounce now are too. With them, five units that were missing: the carat, exact at a fifth of a gram since 1907, the troy ounce a bar of gold is weighed in, and the surveyor's chain with its furlong, which are why an English field is the shape it is.

1.226.11 August 2026

A rate is an amount only once you say how long

100 sqm in msq m is area, m is length· 10 m a side, if it is square
1 mile in acresmile is length, acres is area· 640 acres if you meant a square 1 mile on each side
50 kwh in kwkwh is energy, kw is power· 2.08333 over a day
60 mph in milesmph is speed, miles is length· 60 miles in an hour
Two more pairs that are questions rather than mistakes. An area against a length is geometry, and a hundred square metres is ten metres a side. A rate against the thing it is a rate of is one fact short, and the missing fact is always how long, so an hour and a day go underneath. Which of the pair arrived first decides whether the hour multiplies or divides, and getting that backwards turns fifty kilowatt-hours into six hundred million kilowatts.

1.226.01 August 2026

Twelve ounces in millilitres is a drink, not a category error

12 oz in mloz is mass, ml is volumeoz is mass, ml is volume · 341.218 ml if it is water
1 cup in gcup is volume, g is mass· 235.878 g if it is water · name a substance and it reads: "1 cup flour in g"
500 ml in ozml is volume, oz is mass· 17.5841 oz if it is water
A refusal that is technically correct and stops dead is half an answer. Mass against volume is the pair anybody actually types, and the page could already do it two ways: as fluid ounces, which is the same word for a different unit, and as a weight of water. Both now sit under the refusal with the number already worked out. Refusals can carry a line underneath them at all now, which is the change the rest of these need.

1.225.01 August 2026

A wrong error is worse than a blunt one

week 54 2026there's no month 54a year has 52 weeks, or 53 in a long one
400th day of 2026there's no month 400the days of a year are numbered 1 to 366
1 amp in voltsvolts isn't a place I knownothing, until the converter can read it
300000 at 6% over 30there's no month 0nothing, until the term names a unit
Eight questions with no date in them were being answered by the date parser, which read the stray number as a month and complained about a calendar nobody had mentioned. Asking for volts returned a geography error. Each reader now keeps the line it recognised instead of letting a later one guess at it.

1.224.01 August 2026

A colon is how a name gets written

andrei: 29nothingandrei = 29, kept
elon: 55nothingelon = 55, kept
Rent: 1200301,895 days agorent = 1200, kept
Price: 6 times 53030
A name could be set with an equals and not with a colon, though a colon is how most people write one down. The colon is also how a label gets written in front of a question, and a label comes off the line before any reader sees it, so "andrei: 29" arrived as "29" and was read as a year. What tells the two apart is what follows: a bare number after a colon is a name for that number, and anything that has to be worked out is still a label on the answer. "Rent: 1200" used to answer 301,895 days ago.

1.223.21 August 2026

The denominator that actual over actual divided by

interest on 10000 at 5% from 1 jan 2024 to 1 jan 2025 on actual/actual366÷actual366÷366
The working line printed the word "actual" where the number it had divided by belonged. For every other convention that slot held a figure, so the one basis that looks at the calendar was the one that would not say what it found there.

1.223.11 August 2026

A grammar nobody can find is a grammar nobody types

the READMEone line about money over timetwelve, covering every rule that went in
Sixty-odd new questions went in behind a single line of documentation reading "what it grows to, costs a month, or takes". The chips file has said since it was written that an undiscoverable grammar is an untyped one, and the same goes for the page that tells you what this reads.

1.223.01 August 2026

A term is a length of time until it is a diary

mortgage on 300000 at 6% over 30 years from 1 sep 2026nothinglast payment 1 Sep 2056
300000 at 6% over 25 years with 10000 off after 5 yearsnothing23 years 8 months
300000 at 6% over 25 years with 10000 offnothing23 years 2 months
A loan with real dates on it ends on a day somebody can look up, and the first payment lands on a working day or it does not land at all, which is the one thing a schedule is actually about. Beside it, a lump thrown at the balance once rather than every month: the same ten thousand saves forty-two thousand paid at the start and thirty-two paid five years in, because what a lump buys is every month of interest the rest of the term would have charged on it.

1.222.01 August 2026

The two halves of this page had never been introduced

interest on 10000 at 5% from 1 jan 2026 to todaynothing279.45
interest on 10000 at 5% since 1 jan 2026nothing279.45
interest on 10000 at 5% from today to christmasnothing210.96
interest on 10000 at 5% from 1 jan 2026 to 1 jan 2027 on 30/360nothing500.00
Every money rule here took an abstract number of years, on a page that has parsed "1 jan 2026", "christmas" and "3 days before easter" since its first week. Every other calculator asks for a number of years because it has no choice. Which day-count is used is said out loud, because it is real money: a lender on actual/360 charges five days a year the calendar does not have, and 30/360 pays no attention to the calendar whatever.

1.221.01 August 2026

The sum, shown, and the reason behind a word

1000 at 5% for 10 years1,628.891,628.89, over FV = PV(1+i)^N · 1,000 × 1.05^10
why 1000 at 5% for 10 yearsnothingeach year's interest joins the sum, so the next year's is worked out on more than the last
explain mortgage on 300000 at 6% for 30 yearsnothingthe one payment that clears the balance in exactly that many goes
Money answers now show their working: the formula in symbols, and the same formula with this question's numbers dropped into it. The symbols alone teach nobody and the numbers alone prove nothing. The reason a formula has the shape it has is a different thing and sits behind a word, because it is an explanation rather than an answer and nobody wants one on the four hundredth keystroke of the day. Every other reader on the page is untouched.

1.220.01 August 2026

A headline and its footnote in two different currencies

mortgage on $300000 at 6% for 30 yearsnothing1,798.65 USD a month
mortgage on ¥30000000 at 6% for 30 years64,751,457.35 under a yen headline179,865 JPY a month
₹300000 at 6% for 30 yearsthere's no month 017,23,047.35 INR
Three things at once. A loan answer never carried a currency, because the money reader wanted a bare number back and a loan hands back "1,798.65 a month". The detail lines were written to two decimals whatever the currency, so a yen headline sat over a footnote with pennies in it. And nine symbols the page had never seen -- the rupee, won, rouble, shekel, dong, naira, baht, hryvnia and peso -- were reaching the date engine and being told about months.

1.219.11 August 2026

Where the shortcut stops being close enough

rule of 114 at 7%nothing16 years 3 months
rule of 144 at 7%nothing20 years 6 months
1000 after 30 years at 3% inflationnothing411.99
72 doubles, 114 triples, 144 quadruples, and only the first of the three read here. They are rules of thumb because they divide easily and land close, and the whole use of an exact figure beside one is knowing where that stops: at seven per cent 72 is right to the month and 144 is a month out. Beside them, what a sum is worth once prices have moved under it, since a figure thirty years out is quoted in money that will not buy what it buys now.

1.219.01 August 2026

Loans that are not the plain shape

300000 at 6% over 25 years with 200 a month extranothing20 years 4 months
30000 car over 4 years at 6% with 12000 balloonnothing482.73 a month
interest only on 300000 at 6%nothing1,500.00 a month
300000 house with 60000 down at 6% over 25 yearsnothing1,546.32 a month
Every extra pound skips all the interest that pound would have owed for the rest of the term, which is why two hundred a month takes nearly five years off and saves sixty thousand. A balloon only pays off the part you use up. Interest-only covers the rent on the money and nothing else, so the debt at the end is the debt at the start, and saying that out loud is most of the answer.

1.218.11 August 2026

The halfway point of a mortgage is nowhere near halfway through it

total interest on 300000 at 6% over 30 yearsnothing347,514.57
balance on 300000 at 6% over 30 years after 5 yearsnothing279,163.07
payment 60 on 300000 at 6% over 30 yearsnothing1,397.82 interest · 400.83 principal
when is half paid off on 300000 at 6% over 30 yearsnothingpayment 252
All of this falls out of the payment and none of it could be asked for. The detail line has carried the total and the interest for as long as the rule has existed, with no way to ask for either on its own. The two worth having are about shape rather than size: five years into a thirty-year mortgage a sixth of the money has gone and a fourteenth of the debt, and half of it is not paid off until payment two hundred and fifty-two.

1.218.01 August 2026

A list of flows, discounted

npv at 10% of -1000 300 300 300 300300 and 300 can't be a month and a day-49.04
irr of -1000 300 300 300 300300 and 300 can't be a month and a day7.714%
payback on 5000 saving 1200 a yearnothing4 years 2 months
Money later is worth less than money now, so every instalment is shrunk by how long you wait for it, and a negative total means the deal loses. The list itself is nothing new here, since this page has read "average of 1 2 3" since the maths went in, and only the weighting is. Payback comes with them and ignores interest entirely, which is why it is the wrong answer and the first one everybody asks for.

1.217.01 August 2026

A pot drawn down is a loan you made to yourself

how long does 500000 last at 2500 a month at 5%nothing35 years 11 months
how long does 500000 last at 2000 a month at 5%nothingforever
30000 a year forever at 4%nothing750,000.00
30000 car depreciating 15% a year for 5 yearsnothing13,311.16
The same arithmetic as clearing a debt, wearing the clothes of a pension, and nobody recognises the one as the other. The refusal is the better half here too: at two thousand a month the pot earns more than it pays out and is never touched. Beside them, the simplest formula in finance, and a car, which loses a share of what it is worth now rather than a share of what it cost, so the first year is the dear one.

1.216.11 August 2026

Two deals, one verdict

5% aer or 4.9% compounded dailynothingthe second
buy 6% down to 5.75% for 3000 on 300000nothing63 months to break even
refinance 250000 from 6% to 5% with 4000 costsnothing156.82 a month
20000 at 6% and 5000 at 19.9%nothing8.78% blended
Four questions that are all really one: is this better than that. Two rates cannot be compared until both are said the same way, and four point nine compounded daily beats a flat five. Paying to buy a rate down only pays if you are still there when the lines cross. And one rate for a whole debt is weighted by what is owed, not the average of the two numbers, which is nearly four points out.

1.216.01 August 2026

What a fee is, once it is written as a rate

1% fee on 7% over 30 yearsnothing24.549% of the pot
25 fee on 100 for 30 daysnothing304.167%
2/10 net 30nothing37.245%
100 in 4 payments of 27nothing291.097% a year
money factor 0.00125 as aprnothing3%
25 basis points on 300000nothing750.00 a year
Six ways of charging for money without quoting a rate, each turned back into one. A one per cent fee over thirty years takes a quarter of the pot, because it is charged every year on a sum that has been growing. Twenty-five pounds for a month is three hundred per cent a year. Passing up a two per cent discount to pay twenty days later is borrowing at thirty-seven. Not "bps" on its own: this page has converted bits per second since the units went in, and that word was there first.

1.215.01 August 2026

The rate you are on, not the rate on the advert

apr on 10000 at 5% over 3 years with 500 feenothing8.459%
apr on 10000 with 500 fees at 5% over 3 yearsnothing8.459%
apr on 10000 at 5% over 3 yearsnothing5%
The only rule here that works out what the letters APR stand for. Everything on this page that has ever been called an APR was a nominal rate, which is the number on the advert. The real one balances what you pay against what you received, and you did not receive the fee: charged on ten thousand with nine and a half arriving turns five per cent into eight and a half.

1.214.11 August 2026

Not the multiplication, and not the subtraction

2% a month as a yearnothing26.824% a year
19.9% a year as a monthnothing1.524% a month
5% at 3% inflationnothing1.942% real
5% after 20% taxnothing4% net
Three rates that everybody works out with the wrong operation. Two per cent a month is not twenty-four a year, because month two is charged on month one's interest. Five per cent at three per cent inflation is not two, because the three lands on the five as well as on the sum. Tax really is the subtraction, since it lands on the interest and not on the sum, and that is why it is worth saying which of the three you are looking at.

1.214.01 August 2026

Twelve slices of a twelfth do not make a whole

5% apr compounded monthly as aernothing5.116%
5.116% aer as a monthly aprnothing5%
19.9% apr compounded daily as aernothing22.012%
5% compounded continuouslynothing5.127% effective
A nominal rate and an effective one are the same money described twice, and two deals cannot be compared until both are said the same way. That is why AER is a legal requirement on a savings advert and APR is one on a loan, and neither could be worked out here. Each slice earns for the rest of the year, which is the whole of the difference.

1.213.01 August 2026

The first thing anybody is taught was the one thing missing

simple interest on 1000 at 5% for 3 yearsnothing150.00
simple or compound on 1000 at 5% for 3 yearsnothing150.00 simple · 157.63 compound
daily interest on 300000 at 6%nothing49.32 a day
Simple interest is worked out on what you started with, the same every year, so it never earns on itself. Short-term loans, most bonds and court judgments are all written that way, and it is the only honest thing to show compound interest against: the two side by side are the whole of the idea in two numbers. A day of it is here too, which is the figure a completion date is worth, and it says which length of year it used, because a lender using 360 days charges five days the calendar does not have.

1.212.11 August 2026

A pension is never paid in a flat payment

200 a month rising 3% a year at 5% for 10 yearsnothing35,172.99
A pension contribution is a share of a salary and a salary moves, so a flat payment is the one shape it is never actually paid in. Four thousand more than the same habit standing still, and the detail line says what the last payment had grown to.

1.212.01 August 2026

Nobody has only a lump or only a habit

10000 plus 200 a month at 5% for 10 yearsnothing47,526.55
50000 plus 500 a month at 6% for 20 yearsnothing396,530.67
A sum already put by and something going in every month, which is what anybody actually has. The two never interfere: the lump grows on its own and the payments accumulate on their own, so the answer is the two added, and the detail line says which half did which.

1.211.21 August 2026

The return that would have to turn up

what return gets 200 a month to 100000 in 10 yearsnothing24.357% a year
what return gets 1000 a month to 100000 in 10 yearsnothingthe payments alone already pass that
The same search run on a habit rather than a debt, and it is worth answering mostly so the size of the number talks somebody out of the plan: two hundred a month reaching a hundred thousand in ten years needs a return nobody is going to get.

1.211.11 August 2026

The rate there is no rearranging for

what rate is 20000 over 5 years at 400 a monthnothing7.42%
what rate is 20000 over 5 years at 100 a monthnothingthat pays back less than it borrows
Every other term in these formulas comes out with algebra and the rate does not, because it sits inside a power and inside a division by itself. So it is found the way a lender finds it, by halving the gap until the payment matches. The effective rate goes underneath, since the two are what a deal is compared on.

1.211.01 August 2026

Doubling over ten years is seven per cent, not ten

what rate turns 1000 into 2000 in 10 yearsnothing7.177% a year
cagr from 1000 to 2000 over 10 yearsnothing7.177% a year
how long for 1000 to reach 2000 at 5%nothing14 years 2 months
how long to halve at 3%nothing22 years 9 months
triple time at 7%nothing16 years 3 months
The one steady rate that would have got there, which is not the total growth divided by the years. Its twin reads the same sum for the time instead, and that turns out to be one rule wearing four hats: doubling, tripling, quadrupling and halving are all the same logarithm, and losing three per cent a year is the same sum with the sign turned round.