Publish validated DAE benchmark outputs

[ChrisRackauckas-Claude]

Important

Ignore this PR until it has been reviewed by @ChrisRackauckas. This output was generated from SciML/SciMLBenchmarks.jl#1670 and must not merge before that source PR.

What changed and why

Publish the complete locally validated DAE benchmark output from SciMLBenchmarks commit a6400cd1100af968fc678fd717f0416f60fbc280. The current output predates the DAE runtime and dependency repairs; this refresh replaces all 14 generated pages and scripts, updates 122 referenced figures, and removes seven obsolete figure files.

This draft lets the already-completed five-hour weave be reviewed and published without consuming one of the three congested CPU runners again. It is intentionally stacked behind the source PR so the hosted output never gets ahead of the benchmark code on master.

Verification

The source weave completed all 14 DAE pages at the exact PR head in 5:16:04 with exit code 0, producing 122 figures. No generated page contains an embedded ERROR:, Stacktrace:, UndefVarError, LoadError, or MethodError.

The output audit reported:

pages=14
references=122
figures=122
missing_references=0
unreferenced_figures=0
embedded_exception_pages=0
appendix_pages=14
script_files=14

All generated scripts are Runic-formatted and parse:

parsed 14 formatted generated scripts

The local documentation build completed successfully with Julia 1.12:

julia +1.12 --project=docs -e 'using Pkg; Pkg.develop(PackageSpec(path=pwd())); Pkg.instantiate()'
julia +1.12 --project=docs docs/make.jl

[ Info: Automatic `version="1.0.0"` for inventory from ../Project.toml
┌ Warning: Documenter could not auto-detect the building environment. Skipping deployment.

git diff --check passes. typos over the generated diff reports solver variables and truncated rendered type dumps such as caf, ba, and Nothin; the authored SciMLBenchmarks source diff passed its spelling check.

Not verified

The generated site was built but not deployed locally. The output should not merge until SciML/SciMLBenchmarks.jl#1670 is reviewed and merged.

🤖 Generated with Claude Code

https://chatgpt.com/codex/tasks/01a03a17-ad6f-7131-82fc-d0fd57ea6512

[ChrisRackauckas-Claude]

Runic 1.10.0 was released today, and the workflow's runic-version: "1" constraint resolved it while the generated scripts had been formatted with Runic 1.9.0. The latest commit applies the only two added-line changes reported by the workflow.

Local recheck with Julia 1.12.7 / Runic 1.10.0:

pkgversion(Runic) = v"1.10.0"
script/DAE/slider_crank.jl: exit 0
all changed DAE scripts: 14/14, exit 0
git diff --check: exit 0

The repository-wide historical formatter debt remains outside this generated-output PR; the workflow filters it with filter_mode: added.