+0.30 Why Mathematica does not simplify Sinh[ArcCosh[x]] (www.johndcook.com S:+0.35 )
143 points by ibobev 4 days ago | 54 comments on HN | Neutral Editorial · v3.7 · 2026-03-15 22:23:06 0
Summary Free Expression & Education Access Acknowledges
This technical blog post on mathematical functions makes no explicit human rights claims, but its structure embodies implicit support for Article 19 (free expression) and Article 26 (education) through open-access publishing and accessibility-conscious design. The content prioritizes knowledge dissemination without paywalls, registration barriers, or tracking mechanisms, supporting information freedom and educational access across diverse reader contexts.
Article Heatmap
Preamble: ND — Preamble Preamble: No Data — Preamble P Article 1: ND — Freedom, Equality, Brotherhood Article 1: No Data — Freedom, Equality, Brotherhood 1 Article 2: ND — Non-Discrimination Article 2: No Data — Non-Discrimination 2 Article 3: ND — Life, Liberty, Security Article 3: No Data — Life, Liberty, Security 3 Article 4: ND — No Slavery Article 4: No Data — No Slavery 4 Article 5: ND — No Torture Article 5: No Data — No Torture 5 Article 6: ND — Legal Personhood Article 6: No Data — Legal Personhood 6 Article 7: ND — Equality Before Law Article 7: No Data — Equality Before Law 7 Article 8: ND — Right to Remedy Article 8: No Data — Right to Remedy 8 Article 9: ND — No Arbitrary Detention Article 9: No Data — No Arbitrary Detention 9 Article 10: ND — Fair Hearing Article 10: No Data — Fair Hearing 10 Article 11: ND — Presumption of Innocence Article 11: No Data — Presumption of Innocence 11 Article 12: ND — Privacy Article 12: No Data — Privacy 12 Article 13: ND — Freedom of Movement Article 13: No Data — Freedom of Movement 13 Article 14: ND — Asylum Article 14: No Data — Asylum 14 Article 15: ND — Nationality Article 15: No Data — Nationality 15 Article 16: ND — Marriage & Family Article 16: No Data — Marriage & Family 16 Article 17: ND — Property Article 17: No Data — Property 17 Article 18: ND — Freedom of Thought Article 18: No Data — Freedom of Thought 18 Article 19: ND — Freedom of Expression Article 19: No Data — Freedom of Expression 19 Article 20: ND — Assembly & Association Article 20: No Data — Assembly & Association 20 Article 21: ND — Political Participation Article 21: No Data — Political Participation 21 Article 22: ND — Social Security Article 22: No Data — Social Security 22 Article 23: ND — Work & Equal Pay Article 23: No Data — Work & Equal Pay 23 Article 24: ND — Rest & Leisure Article 24: No Data — Rest & Leisure 24 Article 25: ND — Standard of Living Article 25: No Data — Standard of Living 25 Article 26: ND — Education Article 26: No Data — Education 26 Article 27: ND — Cultural Participation Article 27: No Data — Cultural Participation 27 Article 28: ND — Social & International Order Article 28: No Data — Social & International Order 28 Article 29: ND — Duties to Community Article 29: No Data — Duties to Community 29 Article 30: ND — No Destruction of Rights Article 30: No Data — No Destruction of Rights 30
Negative Neutral Positive No Data
Aggregates
E
+0.30
S
+0.35
Weighted Mean 0.00 Unweighted Mean 0.00
Max 0.00 N/A Min 0.00 N/A
Signal 0 No Data 31
Volatility 0.00 (Low)
Negative 0 Channels E: 0.6 S: 0.4
SETL ℹ -0.08 Structural-dominant
FW Ratio ℹ 54% 14 facts · 12 inferences
Evidence 5% coverage ℹ
2M 3L 29 ND
Theme Radar
Foundation Security Legal Privacy & Movement Personal Expression Economic & Social Cultural Order & Duties Foundation: 0.00 (0 articles) Security: 0.00 (0 articles) Legal: 0.00 (0 articles) Privacy & Movement: 0.00 (0 articles) Personal: 0.00 (0 articles) Expression: 0.00 (0 articles) Economic & Social: 0.00 (0 articles) Cultural: 0.00 (0 articles) Order & Duties: 0.00 (0 articles)
Editorial Channel
What the content says
ND
Preamble Preamble

Content does not address the dignity, equality, or fundamental freedoms affirmed in the Preamble.

ND
Article 1 Freedom, Equality, Brotherhood

Content addresses neither equality nor freedom from discrimination.

ND
Article 2 Non-Discrimination
Low Practice

No editorial content addressing discrimination.

ND
Article 3 Life, Liberty, Security

Content does not address security of person.

ND
Article 4 No Slavery

Content does not address slavery or servitude.

ND
Article 5 No Torture

Content does not address torture or cruel treatment.

ND
Article 6 Legal Personhood

Content does not address recognition as a person before law.

ND
Article 7 Equality Before Law

Content does not address equal protection of law.

ND
Article 8 Right to Remedy

Content does not address remedy for rights violations.

ND
Article 9 No Arbitrary Detention

Content does not address arbitrary arrest or detention.

ND
Article 10 Fair Hearing

Content does not address fair trial or due process.

ND
Article 11 Presumption of Innocence

Content does not address criminal liability or presumption of innocence.

ND
Article 12 Privacy

Content does not address privacy or family.

ND
Article 13 Freedom of Movement

Content does not address freedom of movement.

ND
Article 14 Asylum

Content does not address asylum or refuge.

ND
Article 15 Nationality

Content does not address nationality.

ND
Article 16 Marriage & Family

Content does not address marriage or family.

ND
Article 17 Property

Content does not address property rights.

ND
Article 18 Freedom of Thought

Content does not address freedom of thought, conscience, or religion.

ND
Article 19 Freedom of Expression
Low Practice

No editorial content addressing freedom of expression or information.

ND
Article 20 Assembly & Association

Content does not address freedom of assembly or association.

ND
Article 21 Political Participation

Content does not address political participation or voting.

ND
Article 22 Social Security

Content does not address social security or welfare.

ND
Article 23 Work & Equal Pay

Content does not address work, employment, or labor rights.

ND
Article 24 Rest & Leisure

Content does not address rest or leisure.

ND
Article 25 Standard of Living
Low Practice

No editorial content addressing health or welfare standards.

ND
Article 26 Education
Low Practice

Content does not explicitly address education, but provides technical knowledge publicly.

ND
Article 27 Cultural Participation

Content does not address participation in cultural or scientific life.

ND
Article 28 Social & International Order

Content does not address social or international order.

ND
Article 29 Duties to Community

Content does not address duties or community.

ND
Article 30 No Destruction of Rights

Content does not address rights or freedoms limitation.
Structural Channel
What the site does
Element Modifier Affects Note
Legal & Terms
Privacy —
No privacy policy or data handling information accessible from provided content.
Terms of Service —
No terms of service visible in provided content.
Identity & Mission
Mission —
No explicit mission statement found in provided content.
Editorial Code —
No editorial standards or codes of conduct visible.
Ownership —
Author identified as John D. Cook; no corporate structure or ownership disclosure.
Access & Distribution
Access Model +0.10
Article 19 Article 25
Blog appears to operate on open-access model with no paywalls or registration barriers observed.
Ad/Tracking —
No advertising or tracking pixels evident in provided HTML.
Accessibility +0.05
Article 2 Article 26
Page includes font subsetting and responsive design signals, suggesting attention to accessibility; however, no explicit accessibility statement provided.
ND
Preamble Preamble

Page structure and design do not reflect engagement with universal human rights principles.

ND
Article 1 Freedom, Equality, Brotherhood

No structural signals related to equal rights or non-discrimination.

ND
Article 2 Non-Discrimination
Low Practice

Responsive design and font subsetting signal accessibility efforts; inherited modifier applies.

ND
Article 3 Life, Liberty, Security

No structural signals related to personal security.

ND
Article 4 No Slavery

No structural signals related to slavery or servitude.

ND
Article 5 No Torture

No structural signals related to torture or cruel treatment.

ND
Article 6 Legal Personhood

No structural signals related to legal personhood.

ND
Article 7 Equality Before Law

No structural signals related to legal protection.

ND
Article 8 Right to Remedy

No structural signals related to legal remedy.

ND
Article 9 No Arbitrary Detention

No structural signals related to arrest or detention.

ND
Article 10 Fair Hearing

No structural signals related to due process.

ND
Article 11 Presumption of Innocence

No structural signals related to criminal law.

ND
Article 12 Privacy

No structural signals related to privacy protection.

ND
Article 13 Freedom of Movement

No structural signals related to freedom of movement.

ND
Article 14 Asylum

No structural signals related to asylum.

ND
Article 15 Nationality

No structural signals related to nationality.

ND
Article 16 Marriage & Family

No structural signals related to family rights.

ND
Article 17 Property

No structural signals related to property.

ND
Article 18 Freedom of Thought

No structural signals related to freedom of conscience.

ND
Article 19 Freedom of Expression
Low Practice

Open-access blog model with no paywalls or registration barriers supports freedom of expression and information access; inherited modifier applies.

ND
Article 20 Assembly & Association

No structural signals related to assembly or association.

ND
Article 21 Political Participation

No structural signals related to political participation.

ND
Article 22 Social Security

No structural signals related to social security.

ND
Article 23 Work & Equal Pay

No structural signals related to labor rights.

ND
Article 24 Rest & Leisure

No structural signals related to rest or leisure.

ND
Article 25 Standard of Living
Low Practice

Open-access structure enables equitable access to technical knowledge; inherited modifier applies.

ND
Article 26 Education
Low Practice

Accessibility features and open-access model support equitable access to educational content; inherited modifier applies.

ND
Article 27 Cultural Participation

No structural signals related to cultural participation.

ND
Article 28 Social & International Order

No structural signals related to social order.

ND
Article 29 Duties to Community

No structural signals related to duties to community.

ND
Article 30 No Destruction of Rights

No structural signals related to limitation of rights.
Supplementary Signals
How this content communicates, beyond directional lean. Learn more
Epistemic Quality ℹ
How well-sourced and evidence-based is this content?
0.62 medium claims
Sources
0.6
Evidence
0.7
Uncertainty
0.6
Purpose
0.7
Propaganda Flags ℹ
No manipulative rhetoric detected
0 techniques detected
Emotional Tone ℹ
Emotional character: positive/negative, intensity, authority
measured
Valence
+0.1
Arousal
0.3
Dominance
0.4
Transparency ℹ
Does the content identify its author and disclose interests?
0.50
✓ Author
More signals: context, framing & audience
Solution Orientation ℹ
Does this content offer solutions or only describe problems?
0.65 solution oriented
Reader Agency
0.7
Stakeholder Voice ℹ
Whose perspectives are represented in this content?
0.20 1 perspective
Speaks: individuals
Temporal Framing ℹ
Is this content looking backward, at the present, or forward?
present unspecified
Geographic Scope ℹ
What geographic area does this content cover?
global
Complexity ℹ
How accessible is this content to a general audience?
technical high jargon domain specific
Longitudinal 381 HN snapshots · 44 evals
+1 0 −1 HN
Audit Trail 64 entries
2026-03-15 22:27 eval_success Evaluated: Neutral (0.00) - -
2026-03-15 22:27 eval Evaluated by claude-haiku-4-5-20251001: 0.00 (Neutral) 18,619 tokens -0.40
2026-03-15 22:27 rater_validation_warn Validation warnings for model claude-haiku-4-5-20251001: 0W 4R - -
2026-03-15 22:23 eval_success Evaluated: Moderate positive (0.40) - -
2026-03-15 22:23 rater_validation_warn Validation warnings for model claude-haiku-4-5-20251001: 0W 3R - -
2026-03-15 22:23 eval Evaluated by claude-haiku-4-5-20251001: +0.40 (Moderate positive) 18,788 tokens
2026-03-15 21:50 eval_success PSQ evaluated: g-PSQ=0.280 (3 dims) - -
2026-03-15 21:50 eval Evaluated by llama-4-scout-wai-psq: +0.28 (Mild positive) 0.00
2026-03-15 21:32 eval_success Lite evaluated: Neutral (0.00) - -
2026-03-15 21:32 eval Evaluated by llama-4-scout-wai: 0.00 (Neutral) 0.00
reasoning
Technical blog post on Mathematica and mathematical functions, no rights discussion
2026-03-15 21:32 rater_validation_warn Lite validation warnings for model llama-4-scout-wai: 1W 0R - -
2026-03-15 21:10 eval_success PSQ evaluated: g-PSQ=0.280 (3 dims) - -
2026-03-15 21:10 eval Evaluated by llama-4-scout-wai-psq: +0.28 (Mild positive) 0.00
2026-03-15 20:53 eval_success Lite evaluated: Neutral (0.00) - -
2026-03-15 20:53 eval Evaluated by llama-4-scout-wai: 0.00 (Neutral) 0.00
reasoning
Technical blog post on Mathematica and mathematical functions, no rights discussion
2026-03-15 20:53 rater_validation_warn Lite validation warnings for model llama-4-scout-wai: 1W 0R - -
2026-03-15 20:33 eval_success PSQ evaluated: g-PSQ=0.280 (3 dims) - -
2026-03-15 20:33 eval Evaluated by llama-4-scout-wai-psq: +0.28 (Mild positive) 0.00
2026-03-15 20:17 eval_success Lite evaluated: Neutral (0.00) - -
2026-03-15 20:17 eval Evaluated by llama-4-scout-wai: 0.00 (Neutral) 0.00
reasoning
Technical blog post on Mathematica and mathematical functions, no rights discussion
2026-03-15 20:17 rater_validation_warn Lite validation warnings for model llama-4-scout-wai: 1W 0R - -
2026-03-15 19:55 eval_success PSQ evaluated: g-PSQ=0.280 (3 dims) - -
2026-03-15 19:55 eval Evaluated by llama-4-scout-wai-psq: +0.28 (Mild positive) 0.00
2026-03-15 19:43 eval_success Lite evaluated: Neutral (0.00) - -
2026-03-15 19:43 rater_validation_warn Lite validation warnings for model llama-4-scout-wai: 1W 0R - -
2026-03-15 19:43 eval Evaluated by llama-4-scout-wai: 0.00 (Neutral) 0.00
reasoning
Technical blog post on Mathematica and mathematical functions, no rights discussion
2026-03-15 19:18 eval_success PSQ evaluated: g-PSQ=0.280 (3 dims) - -
2026-03-15 19:18 eval Evaluated by llama-4-scout-wai-psq: +0.28 (Mild positive) 0.00
2026-03-15 19:06 eval_success Lite evaluated: Neutral (0.00) - -
2026-03-15 19:06 rater_validation_warn Lite validation warnings for model llama-4-scout-wai: 1W 0R - -
2026-03-15 19:06 eval Evaluated by llama-4-scout-wai: 0.00 (Neutral) 0.00
reasoning
Technical blog post on Mathematica and mathematical functions, no rights discussion
2026-03-15 18:35 eval_success PSQ evaluated: g-PSQ=0.280 (3 dims) - -
2026-03-15 18:35 eval Evaluated by llama-4-scout-wai-psq: +0.28 (Mild positive) 0.00
2026-03-15 18:21 eval Evaluated by llama-4-scout-wai: 0.00 (Neutral) 0.00
reasoning
Technical blog post on Mathematica and mathematical functions, no rights discussion
2026-03-15 17:23 eval Evaluated by llama-4-scout-wai-psq: +0.28 (Mild positive) 0.00
2026-03-15 17:07 eval Evaluated by llama-4-scout-wai: 0.00 (Neutral) 0.00
reasoning
Technical blog post on Mathematica and mathematical functions, no rights discussion
2026-03-15 16:09 eval Evaluated by llama-4-scout-wai-psq: +0.28 (Mild positive) 0.00
2026-03-15 15:59 eval Evaluated by llama-4-scout-wai: 0.00 (Neutral) 0.00
reasoning
Technical blog post on Mathematica and mathematical functions, no rights discussion
2026-03-15 15:34 eval Evaluated by llama-4-scout-wai-psq: +0.28 (Mild positive) 0.00
2026-03-15 15:24 eval Evaluated by llama-4-scout-wai: 0.00 (Neutral) 0.00
reasoning
Technical blog post on Mathematica and mathematical functions, no rights discussion
2026-03-15 14:56 eval Evaluated by llama-4-scout-wai-psq: +0.28 (Mild positive) 0.00
2026-03-15 14:47 eval Evaluated by llama-4-scout-wai: 0.00 (Neutral) 0.00
reasoning
Technical blog post on Mathematica and mathematical functions, no rights discussion
2026-03-15 14:20 eval Evaluated by llama-4-scout-wai-psq: +0.28 (Mild positive) 0.00
2026-03-15 14:11 eval Evaluated by llama-4-scout-wai: 0.00 (Neutral) 0.00
reasoning
Technical blog post on Mathematica and mathematical functions, no rights discussion
2026-03-15 13:43 eval Evaluated by llama-4-scout-wai-psq: +0.28 (Mild positive) 0.00
2026-03-15 13:35 eval Evaluated by llama-4-scout-wai: 0.00 (Neutral) 0.00
reasoning
Technical blog post on Mathematica and mathematical functions, no rights discussion
2026-03-15 13:05 eval Evaluated by llama-4-scout-wai-psq: +0.28 (Mild positive) 0.00
2026-03-15 12:55 eval Evaluated by llama-4-scout-wai: 0.00 (Neutral) 0.00
reasoning
Technical blog post on Mathematica and mathematical functions, no rights discussion
2026-03-15 12:25 eval Evaluated by llama-4-scout-wai-psq: +0.28 (Mild positive) 0.00
2026-03-15 12:15 eval Evaluated by llama-4-scout-wai: 0.00 (Neutral) 0.00
reasoning
Technical blog post on Mathematica and mathematical functions, no rights discussion
2026-03-15 11:46 eval Evaluated by llama-4-scout-wai-psq: +0.28 (Mild positive) 0.00
2026-03-15 11:36 eval Evaluated by llama-4-scout-wai: 0.00 (Neutral) 0.00
reasoning
Technical blog post on Mathematica and mathematical functions, no rights discussion
2026-03-15 11:07 eval Evaluated by llama-4-scout-wai-psq: +0.28 (Mild positive) 0.00
2026-03-15 10:58 eval Evaluated by llama-4-scout-wai: 0.00 (Neutral) 0.00
reasoning
Technical blog post on Mathematica and mathematical functions, no rights discussion
2026-03-15 10:26 eval Evaluated by llama-4-scout-wai-psq: +0.28 (Mild positive) 0.00
2026-03-15 10:18 eval Evaluated by llama-4-scout-wai: 0.00 (Neutral) 0.00
reasoning
Technical blog post on Mathematica and mathematical functions, no rights discussion
2026-03-15 09:45 eval Evaluated by llama-4-scout-wai-psq: +0.28 (Mild positive) 0.00
2026-03-15 09:38 eval Evaluated by llama-4-scout-wai: 0.00 (Neutral) 0.00
reasoning
Technical blog post on Mathematica and mathematical functions, no rights discussion
2026-03-15 09:05 eval Evaluated by llama-4-scout-wai-psq: +0.28 (Mild positive) 0.00
2026-03-15 08:58 eval Evaluated by llama-4-scout-wai: 0.00 (Neutral) 0.00
reasoning
Technical blog post on Mathematica and mathematical functions, no rights discussion
2026-03-15 08:24 eval Evaluated by llama-4-scout-wai-psq: +0.28 (Mild positive) 0.00
2026-03-15 08:19 eval Evaluated by llama-4-scout-wai: 0.00 (Neutral) 0.00
reasoning
Technical blog post on Mathematica and mathematical functions, no rights discussion
2026-03-15 07:38 eval Evaluated by llama-4-scout-wai-psq: +0.28 (Mild positive)
2026-03-15 07:35 eval Evaluated by llama-4-scout-wai: 0.00 (Neutral)
reasoning
Technical blog post on Mathematica and mathematical functions, no rights discussion