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Finding · P46 · Author-curated

APT4's fertility tax against the Mistral-derived tokenizer is 1.4810 on English LaTeX method sections (95% interval 1.4623 to 1.5010), below its 1.5466 on the English preamble.

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

Structured assertion

Relation: Metric against a reference text

metric
Fertility taxQuantity measured.
subject
APT4 tokenizerTokenizer whose tax is measured.
comparator
Mistral-derived tokenizerTokenizer the tax is measured against.
evaluation text
English LaTeX method sectionsCorpus measured.
language
EnglishLanguage of both texts.
value
1.4810 ratioTax on the evaluation text.
interval low
1.4623 ratioLower bound of the 95% bootstrap interval.
interval high
1.5010 ratioUpper bound of the 95% bootstrap interval.
reference text
Constitution preambleText compared with.
reference value
1.5466 ratioTax on the reference text.
above reference
falseWhether value exceeds reference_value.

Experimental provenance

Method and evaluation protocol
Tokens per word of APT4 divided by tokens per word of the Mistral-derived tokenizer over the corpus, with a document-level bootstrap of 1000 resamples (seed 20260703); the reference value is the same ratio on the preamble protocol text.
Dataset
219 LaTeX sections of arXiv papers whose titles name methods, 80 to 1500 words per paper.Version: unspecified · Access: restricted
Reported results
1.4810 [1.4623, 1.5010] against 1.5466.
Uncertainty and replication
95% bootstrap interval over documents; the reference value is a single text without an interval.
Limitations
The corpus is one sample of its domain; the selection rules are in results/corpora_manifest.json.

Paper citations

arXiv:2604.10799v1 →Revision supplied by author

Associated through an explicitly referenced cited claim.

Concept definitions

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

English LaTeX method sections

219 LaTeX sections of arXiv papers whose titles name methods, 80 to 1500 words per paper.

Key english_latex_methods · version 683761d9-7e85-4d6e-9a95-bd924d442e75

Metric against a reference text

The metric takes value, with its 95% interval, on the evaluation text and reference_value on the reference text; above_reference states whether value exceeds reference_value.

Key tax_against_reference · version 490c5f75-43e6-4d68-ba35-6a0097992182

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

extends

eed1981a-09e9-4aa9-bd57-3db32c7ba4a0

Measures the tax on a corpus beyond the preamble.