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dev/.documenter-siteinfo.json

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{"documenter":{"documenter_version":"1.17.0","generation_timestamp":"2026-04-17T09:46:58","julia_version":"1.12.6"}}
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{"documenter":{"documenter_version":"1.17.0","generation_timestamp":"2026-04-23T08:43:37","julia_version":"1.12.6"}}

dev/assets/Manifest.toml

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dev/comparison/index.html

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dev/getting_started/index.html

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out = sparse(rows, cols, zeros(length(cols)), size(sj)...) # pre-allocate, and correct structure
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myf = eval(last(f_expr))
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myf(out, rand(N)) # note that out matches the sparsity structure of sj
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out</code></pre><pre class="documenter-example-output"><code class="nohighlight hljs ansi">20×10 SparseArrays.SparseMatrixCSC{Float64, Int64} with 11 stored entries:
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⠂⠀⠀⠁⠂
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⠠⠀⠄⠄⠐
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⠀⠀⠀⠀⠀
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⎢⠀⠀⠂⠀⠀⎥
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⎣⠀⠒⠁⠀⠀⎦</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../">« Home</a><a class="docs-footer-nextpage" href="../tutorials/auto_parallel/">Automated Sparse Parallelism of Julia Functions via Tracing »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.17.0 on <span class="colophon-date" title="Friday 17 April 2026 09:46">Friday 17 April 2026</span>. Using Julia version 1.12.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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out</code></pre><pre class="documenter-example-output"><code class="nohighlight hljs ansi">20×10 SparseArrays.SparseMatrixCSC{Float64, Int64} with 22 stored entries:
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⠪⠄⠈⠀⠀
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⠂⡂⠀⠀⠈
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⠂⠂⠠⠠⠄
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⎢⠀⠈⠀⠈⠀⎥
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⎣⠀⢁⠄⡊⠀⎦</code></pre></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../">« Home</a><a class="docs-footer-nextpage" href="../tutorials/auto_parallel/">Automated Sparse Parallelism of Julia Functions via Tracing »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.17.0 on <span class="colophon-date" title="Thursday 23 April 2026 08:43">Thursday 23 April 2026</span>. Using Julia version 1.12.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>

dev/index.html

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[442fdcdd] Measures v0.3.3
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[102ac46a] MultivariatePolynomials v0.5.18
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[10745b16] Statistics v1.11.1
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[2efcf032] SymbolicIndexingInterface v0.3.46
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⌅ [b0724c58] GettextRuntime_jll v0.22.4+0
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[9bd350c2] OpenSSH_jll v10.3.1+0
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[8e850b90] libblastrampoline_jll v5.15.0+0
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[8e850ede] nghttp2_jll v1.64.0+1
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Info Packages marked with ⌅ have new versions available but compatibility constraints restrict them from upgrading. To see why use `status --outdated -m`</code></pre></details><p>You can also download the <a href="https://github.com/SciML/Symbolics.jl/tree/gh-pages/v7.19.0/assets/Manifest.toml">manifest</a> file and the <a href="https://github.com/SciML/Symbolics.jl/tree/gh-pages/v7.19.0/assets/Project.toml">project</a> file.</p></article><nav class="docs-footer"><a class="docs-footer-nextpage" href="getting_started/">Getting Started with Symbolics.jl »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.17.0 on <span class="colophon-date" title="Friday 17 April 2026 09:46">Friday 17 April 2026</span>. Using Julia version 1.12.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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Info Packages marked with ⌅ have new versions available but compatibility constraints restrict them from upgrading. To see why use `status --outdated -m`</code></pre></details><p>You can also download the <a href="https://github.com/SciML/Symbolics.jl/tree/gh-pages/v7.19.0/assets/Manifest.toml">manifest</a> file and the <a href="https://github.com/SciML/Symbolics.jl/tree/gh-pages/v7.19.0/assets/Project.toml">project</a> file.</p></article><nav class="docs-footer"><a class="docs-footer-nextpage" href="getting_started/">Getting Started with Symbolics.jl »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.17.0 on <span class="colophon-date" title="Thursday 23 April 2026 08:43">Thursday 23 April 2026</span>. Using Julia version 1.12.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>

dev/manual/arrays/index.html

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x::SymbolicUtils.BasicSymbolicImpl.var&quot;typeof(BasicSymbolicImpl)&quot;{T},
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::Val{toplevel}
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) -&gt; Any
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</code></pre><p>Convert a symbolic expression with array operations into a fully scalarized form. This function expands array operations into element-wise operations, converting symbolic array expressions into arrays of scalar symbolic expressions.</p><p>For <code>ArrayOp</code> expressions, this function reduces eliminated indices and substitutes concrete values for output indices to generate scalar expressions for each array element.</p><p><strong>Arguments</strong></p><ul><li><code>x::BasicSymbolic{T}</code>: The symbolic expression to scalarize.</li><li><code>::Val{toplevel}=Val{false}()</code>: Whether to evaluate constant expressions at the top level. When <code>true</code>, constant subexpressions are evaluated; when <code>false</code>, they are recursively scalarized.</li></ul><p><strong>Returns</strong></p><ul><li>The scalarized expression. For array-shaped expressions, returns an array of scalar expressions. For scalar expressions, returns the expression unchanged or with recursively scalarized subexpressions.</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaSymbolics/SymbolicUtils.jl/blob/v4.24.2/src/substitute.jl#L701-L721">source</a></section></details></article><article><details class="docstring" open="true"><summary id="SymbolicUtils.shape"><a class="docstring-binding" href="#SymbolicUtils.shape"><code>SymbolicUtils.shape</code></a><span class="docstring-category">Function</span></summary><section><div><pre><code class="language-julia hljs">shape(x)</code></pre><p>Get the shape of a value or symbolic expression. Generally equivalent to <code>axes</code> for non-symbolic <code>x</code>, but also works on non-array values.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaSymbolics/SymbolicUtils.jl/blob/v4.24.2/src/types.jl#L308-L313">source</a></section></details></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../external/">« Working with External Symbolics Packages: SymPy, Mathematica, Oscar, and Beyond</a><a class="docs-footer-nextpage" href="../build_function/">Function Building and Compilation (build_function) »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.17.0 on <span class="colophon-date" title="Friday 17 April 2026 09:46">Friday 17 April 2026</span>. Using Julia version 1.12.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>
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</code></pre><p>Convert a symbolic expression with array operations into a fully scalarized form. This function expands array operations into element-wise operations, converting symbolic array expressions into arrays of scalar symbolic expressions.</p><p>For <code>ArrayOp</code> expressions, this function reduces eliminated indices and substitutes concrete values for output indices to generate scalar expressions for each array element.</p><p><strong>Arguments</strong></p><ul><li><code>x::BasicSymbolic{T}</code>: The symbolic expression to scalarize.</li><li><code>::Val{toplevel}=Val{false}()</code>: Whether to evaluate constant expressions at the top level. When <code>true</code>, constant subexpressions are evaluated; when <code>false</code>, they are recursively scalarized.</li></ul><p><strong>Returns</strong></p><ul><li>The scalarized expression. For array-shaped expressions, returns an array of scalar expressions. For scalar expressions, returns the expression unchanged or with recursively scalarized subexpressions.</li></ul></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaSymbolics/SymbolicUtils.jl/blob/v4.24.2/src/substitute.jl#L701-L721">source</a></section></details></article><article><details class="docstring" open="true"><summary id="SymbolicUtils.shape"><a class="docstring-binding" href="#SymbolicUtils.shape"><code>SymbolicUtils.shape</code></a><span class="docstring-category">Function</span></summary><section><div><pre><code class="language-julia hljs">shape(x)</code></pre><p>Get the shape of a value or symbolic expression. Generally equivalent to <code>axes</code> for non-symbolic <code>x</code>, but also works on non-array values.</p></div><a class="docs-sourcelink" target="_blank" href="https://github.com/JuliaSymbolics/SymbolicUtils.jl/blob/v4.24.2/src/types.jl#L308-L313">source</a></section></details></article></article><nav class="docs-footer"><a class="docs-footer-prevpage" href="../external/">« Working with External Symbolics Packages: SymPy, Mathematica, Oscar, and Beyond</a><a class="docs-footer-nextpage" href="../build_function/">Function Building and Compilation (build_function) »</a><div class="flexbox-break"></div><p class="footer-message">Powered by <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> and the <a href="https://julialang.org/">Julia Programming Language</a>.</p></nav></div><div class="modal" id="documenter-settings"><div class="modal-background"></div><div class="modal-card"><header class="modal-card-head"><p class="modal-card-title">Settings</p><button class="delete"></button></header><section class="modal-card-body"><p><label class="label">Theme</label><div class="select"><select id="documenter-themepicker"><option value="auto">Automatic (OS)</option><option value="documenter-light">documenter-light</option><option value="documenter-dark">documenter-dark</option><option value="catppuccin-latte">catppuccin-latte</option><option value="catppuccin-frappe">catppuccin-frappe</option><option value="catppuccin-macchiato">catppuccin-macchiato</option><option value="catppuccin-mocha">catppuccin-mocha</option></select></div></p><hr/><p>This document was generated with <a href="https://github.com/JuliaDocs/Documenter.jl">Documenter.jl</a> version 1.17.0 on <span class="colophon-date" title="Thursday 23 April 2026 08:43">Thursday 23 April 2026</span>. Using Julia version 1.12.6.</p></section><footer class="modal-card-foot"></footer></div></div></div></body></html>

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