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<p><br></p>
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<h1>Automatically inlining functions is not easy</h1>
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<p><span style="font-size: 9pt"><p>Git revision <a href="https://github.com/alex-s168/website/tree/9c2913af189b62c028f6f773370f50f9e6c13307">#9c2913af</a></p><p><br>Modified at 11. August 2025 16:38</p><p>Written by <a href="https://alex.vxcc.dev">alex_s168</a></p></span></p>
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"><br><span style="text-decoration: underline"><h2>Introduction</h2></span> Function calls have some overhead, which can sometimes be a big issue for other optimizations. Because of that, compiler backends (should) inline function calls. There are however many issues with just greedily inlining calls…</div>
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<p><br><span style="text-decoration: underline"><h2>Greedy inlining with heuristics</h2></span> This is the most obvious approach. We can just inline all functions with only one call, and then inline calls where the inlined function does not have many instructions.</p>
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<p>Example:</p>
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padding:1.6pt;display:inline-block"><pre><code>function f32 $square(f32 %x) {<br>@entry:<br> // this is stupid, but I couldn't come up with a better example<br> f32 %e = add %x, 0<br> f32 %out = add %e, %x<br> ret %out<br>}<br><br>function f32 $hypot(f32 %a, f32 %b) {<br>@entry:<br> f32 %as = call $square(%a)<br> f32 %bs = call $square(%b)<br> f32 %sum = add %as, %bs<br> f32 %o = sqrt %sum<br> ret %o<br>}<br><br>function f32 $tri_hypot({f32, f32} %x) {<br> f32 %a = extract %x, 0<br> f32 %b = extract %x, 1<br> f32 %o = call $hypot(%a, %b) // this is a "tail call"<br> ret %o<br>}<br><br>// let's assume that $hypot is used someplace else in the code too</code></pre></span></div>
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<div style="
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"><br>Let’s assume our inlining treshold is 5 operations. Then we would get – Waait there are multiple options…</div>
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<p><br><span style="text-decoration: underline"><h3>Issue 1: (sometimes) multiple options</h3></span> If we inline the <span style="
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padding:1.6pt;display:inline-block"><code style="white-space: pre-wrap">$square</code></span> calls, then <span style="
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padding:1.6pt;display:inline-block"><code style="white-space: pre-wrap">$hypot</code></span> will have too many instructions to be inlined into <span style="
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padding:1.6pt;display:inline-block"><code style="white-space: pre-wrap">$tri_hypot</code></span>:</p>
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padding:1.6pt;display:inline-block"><pre><code>...<br>function f32 $hypot(f32 %a, f32 %b) {<br>@entry:<br> // more instructions than our inlining treshold:<br> f32 %ase = add %a, 0<br> f32 %as = add %ase, %a<br> f32 %bse = add %b, 0<br> f32 %bs = add %bse, %b<br> f32 %sum = add %as, %bs<br> f32 %o = sqrt %sum<br> ret %o<br>}<br>...</code></pre></span></div>
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<p><br>The second option is to inline the <span style="
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padding:1.6pt;display:inline-block"><code style="white-space: pre-wrap">$hypot</code></span> call into <span style="
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padding:1.6pt;display:inline-block"><code style="white-space: pre-wrap">$tri_hypot</code></span>. (There are also some other options)</p>
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<p>Now in this case, it seems obvious to prefer inlining <span style="
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padding:1.6pt;display:inline-block"><code style="white-space: pre-wrap">$square</code></span> into <span style="
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padding:1.6pt;display:inline-block"><code style="white-space: pre-wrap">$hypot</code></span>.</p>
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<p><br><span style="text-decoration: underline"><h3>Issue 2: ABI requirements on argument passing</h3></span> If we assume the target ABI only has one f32 register for passing arguments, then we would have to generate additional instructions for passing the second argument of <span style="
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padding:1.6pt;display:inline-block"><code style="white-space: pre-wrap">$hypot</code></span>, and then it might actually be more efficient to inline <span style="
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padding:1.6pt;display:inline-block"><code style="white-space: pre-wrap">$hypot</code></span> instead of <span style="
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padding:1.6pt;display:inline-block"><code style="white-space: pre-wrap">$square</code></span>.</p>
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<p>This example is not realistic, but this issue actually occurs when compiling lots of code.</p>
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<p>Another related issue is that having more arguments arranged in a fixed way will require lots of moving data arround at the call site.</p>
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<p>A solution to this is to make the heuristics not just output code size, but also make it depend on the number of arguments / outputs passed to the function.</p>
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<p><br><span style="text-decoration: underline"><h3>Issue 3: (sometimes) prevents optimizations</h3></span></p>
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padding:1.6pt;display:inline-block"><pre><code>function f32 $myfunc(f32 %a, f32 %b) {<br>@entry:<br> f32 %sum = add %a, %b<br> f32 %sq = sqrt %sum<br> ...<br>}<br><br>function $callsite(f32 %a, f32 %b) {<br>@entry:<br> f32 %as = add %a, %a<br> f32 %bs = add %b, %b<br> f32 %x = call $myfunc(%as, %bs)<br> ...<br>}</code></pre></span></div>
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<p>If the target has a efficient <span style="
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padding:1.6pt;display:inline-block"><code style="white-space: pre-wrap">hypot</code></span> operation, then that operation will only be used if we inline <span style="
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padding:1.6pt;display:inline-block"><code style="white-space: pre-wrap">$myfunc</code></span> into <span style="
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padding:1.6pt;display:inline-block"><code style="white-space: pre-wrap">$callsite</code></span>.</p>
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<p>This means that inlining is now depended on… instruction selection??</p>
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<p>This is not the only optimization prevented by not inlining the call. If <span style="
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padding:1.6pt;display:inline-block"><code style="white-space: pre-wrap">$callsite</code></span> were to be called in a loop, then not inlining would prevent vectorization.</p>
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<p><br><span style="text-decoration: underline"><h2>Function outlining</h2></span> A related optimization is “outlining”. It’s the opposite to inlining. It moves duplicate code into a function, to reduce code size, and sometimes increase performance (because of instruction caching)</p>
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<p>If we do inlining seperately from outlining, we often get unoptimal code.</p>
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"><br><span style="text-decoration: underline"><h2>A better approach</h2></span> We can instead first inline <strong>all</strong> inlinable calls, and <strong>then</strong> perform more agressive outlining.</div>
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<p><br><span style="text-decoration: underline"><h3>Step 1: inlining</h3></span> We inline <strong>all</strong> function calls, except for:</p>
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<li>self recursion (obviously)</li>
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<li>functions explicitly marked as no-inline by the user</li>
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<p><br><span style="text-decoration: underline"><h3>Step 2: detect duplicate code</h3></span> There are many algorithms for doing this.</p>
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<p>The goal of this step is to both:</p>
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<ul>
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<li>maximize size of outlinable section</li>
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<li>minimize size of code</li>
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<p><br><span style="text-decoration: underline"><h3>Step 3: slightly reduce size of outlinable section</h3></span> The goal is to reduce size of outlinable sections, to make the code more optimal.</p>
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<p>This should be ABI and instruction depended, and have the goal of:</p>
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<ul>
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<li>reducing argument shuffles required at all call sites</li>
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<li>reducing register preassure</li>
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<li>not preventing good isel choices and optimizations.</li>
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<p>this is also dependent on the targetted code size.</p>
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"><br><span style="text-decoration: underline"><h3>Step 4: perform outlining</h3></span> This is obvious.</div>
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<p><br><span style="text-decoration: underline"><h3>Issue 1: high compile-time memory usage</h3></span> Inlining <strong>all</strong> function calls first will increase the memory usage during compilation by A LOT</p>
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<p>I’m sure that there is a smarter way to implement this method, without actually performing the inlining…</p>
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<p><br><span style="text-decoration: underline"><h2>Conclusion</h2></span> Function inlining is much more complex than one might think.</p>
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<p>PS: No idea how to implement this…</p>
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