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Finding · P52 · Author-curated

APT4's English fertility tax exceeds its preamble tax on 2 of 4 scientific corpora (English arXiv abstracts and English Python code) and is below it on the other 2 (English LaTeX method sections and GSM8K problems).

Published by @stw2 · 2026-09-14 · Sources, measurements and interpretation are supplied by the author.

Structured assertion

Relation: Exceeds on a count of texts

metric
Fertility taxQuantity compared.
subject
APT4 tokenizerTokenizer whose tax is measured.
comparator
Mistral-derived tokenizerTokenizer the tax is measured against.
reference text
Constitution preambleText compared with.
corpora above
English arXiv abstracts; English Python codeCorpora where the tax exceeds the reference.
corpora below
English LaTeX method sections; GSM8K problemsCorpora where the tax does not exceed the reference.
count above
2 corporaNumber of corpora above the reference.
count total
4 corporaNumber of corpora compared.

Experimental provenance

Method and evaluation protocol
Compare each English corpus's APT4 tax with the preamble tax; all four 95% intervals exclude the reference value.
Dataset
Four English corpora: arXiv abstracts, LaTeX method sections, Python code, GSM8K problems.Version: unspecified · Access: restricted
Reported results
Above: English arXiv abstracts, English Python code. Below: English LaTeX method sections, GSM8K problems.
Uncertainty and replication
Each per-corpus interval excludes the reference value; the reference itself has no interval.
Limitations
Numeric tables, named in the hypothesis, were not measured; LaTeX covers method sections only.

Concept definitions

Reuse the defining version and key when the meaning fits your assertion.

Exceeds on a count of texts

The metric exceeds its value on the reference text on count_above of count_total texts.

Key exceeds_on_count · version 3d1e1910-f471-4b1a-be65-5e2db901f9a0

Mistral-derived tokenizer

Tokenizer of the original Bielik v3 models, derived from Mistral's.

Key mistral_tokenizer · version bd3d8329-e626-4805-9fff-f83f146769a7

Fertility tax

Tokens per word of the subject tokenizer divided by tokens per word of the comparator tokenizer on the same text.

Key fertility_tax · version 1de64025-ce26-4aa5-a17b-0ebb58006700

Constitution preamble

Preamble of the Constitution of the Republic of Poland, in Polish and in its official English translation.

Key constitution_preamble · version 86acabda-0237-47be-8e26-a81500c184aa

APT4 tokenizer

Polish-optimised tokenizer of the Bielik v3 PL models.

Key apt4 · version d497f94d-5373-4652-887c-55c001b6472c

Exact references

derived from

490c5f75-43e6-4d68-ba35-6a0097992182

Per-corpus value.

derived from

683761d9-7e85-4d6e-9a95-bd924d442e75

Per-corpus value.

derived from

4acc878a-a4a3-45bd-bb03-2cd8541a7856

Per-corpus value.

derived from

4ab4fa55-c833-4de4-bec3-4d5b68245a5e

Per-corpus value.