That's a bogus claim. It takes about a month to produce a chip. There is no way the yield could be improved that much in just one iteration.
TSMC N3 has been in 'at risk' production for over a year. It is a continuous feedback cycle that goes into feeding back corrections/improvements into the pipeline of wafers being processed. There is a quality improvement in how effective the corrections are when do a larger statistical sampling of the adjustments in addition to the cycle length.
However,
Misleading article, as the yields are better at the outset than they were with the 5nm startup, where TSMC went from a 50% yield to an 80% yield within a month.
Even if yields were incrementally better, the dramatic increase in wafer costs means that 55% isn't as economically as good as the 50% of N5. If the wafer cost is up >20% then that incremental 5% isn't a 'winner' if trying to control final system costs. Part of the problem here is that what is "good enough" to tag something as ready for "High volume production" is likely going to diverge a bit between TSMC and their customers.
Also, you might mean a Quarter. TSMC'S own chart ( without exact detail) reveals it wasn't a month.
www.anandtech.com
The bulk of the very rapid yield gains happen before TSMC tags something as "Mass Production" / "High Volume Production". The easier to fix stuff happens pretty early in the early 'at risk' and initial ramp. N3 probalby has a substantively different curve ( because much less so an straight forward adjustment on the same theme. ) , but big chunks are still likely front loaded in mulitple quarters back from MP.
Even several iterations back the bake times were inside of a month.
From the EETimes article
" ... we believe N3 yields at TSMC for A17 and M3 processors are at around 55% [a healthy level at this stage in N3 development], and TSMC looks on schedule to boost yields by around 5+ points each quarter.” ..."
There has been lots of "doom and gloom" painted on N3 though. It is likely the progression during the -Q4 , -Q3 , -Q2 , period of time wasn't as rapid large chunks as with N5 or N7. It took all the way to the end of the predicted 2H '22 window to get to 'MP' status.
Still believe this is more about shifting M2 inventory than any real shortage, as Apple would know from the 5nm experience that yields at the outset would be around 50% where in fact they exceed that for the 3nm at 55%.
M2 isn't made on the same production line as N3B (or N3E) is. N3B and N3E may have high overlap, but M2 is off in another factory. And the M2 inventory shift was probably a mix of demand changes and the M2 Pro/Max sliding about a quarter into the future. If the quarter slide was know early enough Apple could have bulked up on plain M2 to consume the wafers their original plan had going to M2 Pro/Max and then killed off the plain M2 flow closer to where ramped M2 Pro/Max (moved part of the bubble in the wafer assignment flow to later. ) . Make too many plain M2's and then stop to even it back out.
That N3B takes substantively longer to make creates a problem for Apple's technology arbitrary September deadline.
So the 3nm is already better yield than the 5nm at this stage so expect a ramp up in yields and again Apple would know this.
The longer cycle time for N3B means that the yield adjustments will be slower than N5. A flatter curve. But more so for Apple it makes there "just in time" inventory control more coarse grained. If they say 'slow down'/'speed up' and it takes 4 months for the output to slow / speed up ... that is a bigger issue. More like driving a very long and extremely heavy freight train then a tractor-trailer truck.
One of the primary reasons N3E is coming and has a much higher adoption rate is that the 'bake time' is faster and the yields will be better sooner. The trade off is that there isn't as much of a density increase. It is easier to make (and hence cheaper to buy) , but not as much of a gap in what you get.