Claude Code · Wolfram Language · Modelica

Wolfram agent skills, running on WLJS

Seventy of Wolfram's agent skills, including the System Modeler AI toolkit, adapted to run in the open-source WLJS notebook, tested one by one, with fourteen defects found along the way.

70 skills60 work (59 + 1 after a fix)14 defects reproduced kernels offline by ruleOct 21–23, 2026

Source on GitHub Skills catalogue Defects Open a WLJS notebook

System Modeler without the System Modeler app

Modelica models simulated, annotated and shown in WLJS

Each picture comes from a skill's final test run, where a fresh agent used the skill and an independent reviewer re-checked the result, except the diagram, which comes from the W4 fix's own before/after test.

Two stacked plots: x decays towards 0; y grows to about 33,000 by time 10 — annotate-modelica-plots A stored result figure written into the model and rendered back from it. x(10) = 4.539992e-5, y(10) = 33039.70, both exact

Automatically laid-out Modelica schematic of the submarine model; connection lines end on the components' connector pins — annotate-modelica-graphics · fix W4 The toolkit's automatic layout for a text-only model, after the fix: each line ends on the connector position read from the Modelica library source, not a guessed icon edge. The layout itself is unchanged. Model: Wolfram's DocumentationExamples.Control.Submarine

Three log-scale sliders for R1, C and R2 above a sine-wave current plot — annotate-control-panel An Explore panel with three log-scale sliders, rebuilt as a live WLJS control; each change re-simulates the circuit. steady-state |I| checked by hand against V = 1, f = 1, L = 0.1

Chain pendulum drawn in blue and red with a yellow trace of its tip — annotate-modelica-animation A stored camera that follows the last link of a chain pendulum, replayed in WLJS with a trace of the tip. tip at t = 5: (−1.89, −2.07)

Current over 10 seconds for default and corner parameter sets — annotate-control-panel The same circuit at its default values and at the corner of the slider ranges. default 10 Ω, 0.01 F, 100 Ω · corner 1 Ω, 0.1 F, 10 Ω

Three rising curves for initial values 0.5, 1 and 2 — wolfram-language-modelica A parameter sweep pulled into Wolfram Language and compared with the exact solution. y(1) = 3.3059, 3.8935, 5.0687, error < 1e-9

How it works

One table generates every skill

PINNED

Upstream skills

Six collections fetched at fixed commits and checksummed. Never edited.

TABLE

build.mjs

Per skill: where it runs, what changes from Mathematica, what needs the user's OK.

GENERATED

70 SKILL.md files

Plus the catalogue and the results table, from the same source.

RUN

Claude Code

Loads the matching skill and follows ROUTES.md to the WLJS kernel.

SHOW

WLJS notebook

Every result saved as a notebook the user can open and re-run.

Testing

Three levels, every skill

works 59works with fixes 1 limited 6not tested 4

A · Official suites

Wolfram's own AgentTools test suites, run in the WLJS kernel and in a fresh kernel, plus the notebook converter's 174 tests.

B · Skill invocation

A fresh agent runs each skill on Wolfram's own example material. Six checks: triggered, route, rules, notebook, correct, clean.

C · Independent review

Reviewer agents re-read every verdict against its evidence and can overturn it. Failed attempts stay on record.

"Limited" and "not tested" each name their reason, usually a feature that needs Wolfram's servers, which this work kept off on purpose.

Defects

Fourteen defects, each reproduced by hand

ID	Where	What goes wrong	Status
W1	Mathematica 15.0 example data	ExampleData/Submarine.mo does not build on its own (missing noEvent)	workaround
W2	Mathematica 15.0	ServiceFramework refuses even local services while internet is off	documented
W3	Mathematica 15.0	Loading the documentation-build package tries a paclet download	documented
W4	System Modeler AI toolkit	Diagram lines end on guessed connector positions	patch
W5	AgentTools debugging	FailedAssertions reports 0 failures after the first call	patch
J1	WLJS 3.1.4	Kernel-side save raises a false "File hash mismatch" dialog	local fix
J2	WLJS 3.1.4	Dialogs open on the primary monitor, away from their window	local fix
J3	WLJS 3.1.4	Kernel-side save drops graphics; plots show "Loading..." after restart	local fix
J4	WLJS 3.1.4	Notebooks made through the API get none of the extensions' listeners	local fix
I1	MarkdownToNotebook example	build.wls leaves stray General::stop cells on built pages	patch
I2	MarkdownToNotebook example	DocPageExamples paclet: three functional defects	patch
I3	MarkdownToNotebook example	BlochSphereGates Demonstration: four factual errors	patch
I4	MarkdownToNotebook	Converter drops a symbol page's Keywords	patch
I5	wolfram-data-repository skill	Category list says 34 but lists 35	patch

WLJS cells

The notebook side

Markdown cell with the Collatz map formula and a computed table of stopping times — wljs-markdownKaTeX maths and a table whose values the kernel computed.

HTML cell showing a card with the 1000th prime, 7919 — wljs-htmlAn HTML card with a value filled in by Wolfram at evaluation time.

Flowchart of the Collatz iteration — wljs-mermaidA Mermaid flowchart cell.