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<!DOCTYPE html>
<html>
<head><meta charset="utf-8" />
<title>FastAnonymous_Experiments</title>
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<div class=" highlight hl-julia"><pre><span class="n">cd</span><span class="p">(</span><span class="s">"/Users/cedric/Programa/Mario"</span><span class="p">)</span>
<span class="n">push</span><span class="o">!</span><span class="p">(</span><span class="n">LOAD_PATH</span><span class="p">,</span> <span class="s">"."</span><span class="p">)</span>
<span class="k">using</span> <span class="n">Autoreload</span>
<span class="k">using</span> <span class="n">Utils</span>
<span class="k">using</span> <span class="n">FastAnonymous</span><span class="p">:</span> <span class="p">@</span><span class="n">anon</span>
<span class="k">using</span> <span class="n">Benchmarks</span>
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<pre>WARNING: New definition
valid_index(AbstractArray{#T<:Any, #N<:Any}, Base.IteratorsMD.CartesianIndex{#N<:Any}) at /Users/cedric/Programa/Mario/Utils.jl:70
is ambiguous with:
valid_index(AbstractArray{#T<:Any, 1}, Any) at /Users/cedric/Programa/Mario/Utils.jl:64.
To fix, define
valid_index(AbstractArray{#T<:Any, 1}, Base.IteratorsMD.CartesianIndex{1})
before the new definition.
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<p>See the macroexpansions below</p>
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<div class=" highlight hl-julia"><pre><span class="k">function</span><span class="nf"> type_definition</span><span class="p">(</span><span class="n">arglist</span><span class="p">,</span> <span class="n">closed_var_list</span><span class="p">,</span> <span class="n">body</span><span class="p">)</span>
<span class="n">typename</span> <span class="o">=</span> <span class="n">gensym</span><span class="p">(</span><span class="s">"Closure"</span><span class="p">)</span>
<span class="n">temp_fun</span> <span class="o">=</span> <span class="n">gensym</span><span class="p">(</span><span class="s">"Helper"</span><span class="p">)</span>
<span class="n">params</span> <span class="o">=</span> <span class="p">[</span><span class="n">gensym</span><span class="p">(</span><span class="s">"T"</span><span class="p">)</span> <span class="k">for</span> <span class="n">_</span> <span class="k">in</span> <span class="n">closed_var_list</span><span class="p">]</span>
<span class="c"># Macro to quickly create an immutable, eg.:</span>
<span class="c"># @qimmutable Car(size, ndoors::Int)</span>
<span class="n">type_expr</span> <span class="o">=</span> <span class="p">:(@</span><span class="n">qimmutable</span><span class="p">(</span><span class="o">$</span><span class="n">typename</span><span class="p">{</span><span class="o">$</span><span class="p">(</span><span class="n">params</span><span class="o">...</span><span class="p">)}(</span><span class="o">$</span><span class="p">([:(</span><span class="o">$</span><span class="n">cv</span><span class="p">::</span><span class="o">$</span><span class="n">param</span><span class="p">)</span> <span class="k">for</span> <span class="p">(</span><span class="n">cv</span><span class="p">,</span> <span class="n">param</span><span class="p">)</span> <span class="k">in</span> <span class="n">zip</span><span class="p">(</span><span class="n">closed_var_list</span><span class="p">,</span> <span class="n">params</span><span class="p">)]</span><span class="o">...</span><span class="p">))))</span>
<span class="n">execute_body_expr</span> <span class="o">=</span> <span class="p">:(</span><span class="o">$</span><span class="n">temp_fun</span><span class="p">(</span><span class="o">$</span><span class="p">(</span><span class="n">union</span><span class="p">(</span><span class="n">arglist</span><span class="p">,</span> <span class="n">closed_var_list</span><span class="p">)</span><span class="o">...</span><span class="p">))</span> <span class="o">=</span> <span class="o">$</span><span class="n">body</span><span class="p">)</span>
<span class="n">call_expr</span> <span class="o">=</span> <span class="p">:(</span><span class="n">Base</span><span class="o">.</span><span class="n">call</span><span class="p">(</span><span class="n">instance</span><span class="p">::</span><span class="o">$</span><span class="n">typename</span><span class="p">,</span> <span class="o">$</span><span class="p">(</span><span class="n">arglist</span><span class="o">...</span><span class="p">))</span> <span class="o">=</span> <span class="o">$</span><span class="n">temp_fun</span><span class="p">(</span><span class="o">$</span><span class="p">(</span><span class="n">arglist</span><span class="o">...</span><span class="p">),</span> <span class="o">$</span><span class="p">(</span><span class="n">map</span><span class="p">(</span><span class="n">cv</span><span class="o">-></span><span class="p">:(</span><span class="n">instance</span><span class="o">.$</span><span class="n">cv</span><span class="p">),</span> <span class="n">closed_var_list</span><span class="p">)</span><span class="o">...</span><span class="p">)))</span>
<span class="k">return</span> <span class="p">(</span><span class="n">typename</span><span class="p">,</span> <span class="n">type_expr</span><span class="p">,</span> <span class="n">execute_body_expr</span><span class="p">,</span> <span class="n">call_expr</span><span class="p">)</span>
<span class="k">end</span>
<span class="k">function</span><span class="nf"> build_type</span><span class="p">(</span><span class="n">arglist</span><span class="p">,</span> <span class="n">closed_var_list</span><span class="p">,</span> <span class="n">body</span><span class="p">)</span>
<span class="n">typename</span><span class="p">,</span> <span class="n">type_expr</span><span class="p">,</span> <span class="n">execute_body_expr</span><span class="p">,</span> <span class="n">call_expr</span> <span class="o">=</span> <span class="n">type_definition</span><span class="p">(</span><span class="n">arglist</span><span class="p">,</span> <span class="n">closed_var_list</span><span class="p">,</span> <span class="n">body</span><span class="p">)</span>
<span class="p">@</span><span class="n">eval</span> <span class="o">$</span><span class="n">type_expr</span>
<span class="p">@</span><span class="n">eval</span> <span class="o">$</span><span class="n">execute_body_expr</span>
<span class="p">@</span><span class="n">eval</span> <span class="o">$</span><span class="n">call_expr</span>
<span class="k">return</span> <span class="p">@</span><span class="n">eval</span><span class="p">(</span><span class="o">$</span><span class="n">typename</span><span class="p">)</span>
<span class="k">end</span>
<span class="k">macro</span> <span class="n">anon2</span><span class="p">(</span><span class="n">ex</span><span class="p">)</span>
<span class="p">(</span><span class="nb">isa</span><span class="p">(</span><span class="n">ex</span><span class="p">,</span><span class="n">Expr</span><span class="p">)</span> <span class="o">&&</span> <span class="n">ex</span><span class="o">.</span><span class="n">head</span> <span class="k">in</span> <span class="p">(:</span><span class="n">function</span><span class="p">,</span> <span class="p">:</span><span class="o">-></span><span class="p">))</span> <span class="o">||</span> <span class="n">FastAnonymous</span><span class="o">.</span><span class="n">anon_usage</span><span class="p">()</span>
<span class="n">arglist</span> <span class="o">=</span> <span class="n">FastAnonymous</span><span class="o">.</span><span class="n">tupleargs</span><span class="p">(</span><span class="n">ex</span><span class="o">.</span><span class="n">args</span><span class="p">[</span><span class="mi">1</span><span class="p">])</span>
<span class="n">body</span> <span class="o">=</span> <span class="n">ex</span><span class="o">.</span><span class="n">args</span><span class="p">[</span><span class="mi">2</span><span class="p">]</span>
<span class="n">syms</span> <span class="o">=</span> <span class="n">FastAnonymous</span><span class="o">.</span><span class="n">nonarg_symbols</span><span class="p">(</span><span class="n">body</span><span class="p">,</span> <span class="n">arglist</span><span class="p">)</span>
<span class="n">scopedbody</span> <span class="o">=</span> <span class="n">FastAnonymous</span><span class="o">.</span><span class="n">scopecalls</span><span class="p">(</span><span class="n">current_module</span><span class="p">(),</span> <span class="n">body</span><span class="p">)</span>
<span class="n">ftype</span> <span class="o">=</span> <span class="n">build_type</span><span class="p">(</span><span class="n">arglist</span><span class="p">,</span> <span class="nb">tuple</span><span class="p">(</span><span class="n">syms</span><span class="o">...</span><span class="p">),</span> <span class="n">scopedbody</span><span class="p">)</span>
<span class="p">:(</span><span class="o">$</span><span class="n">ftype</span><span class="p">(</span><span class="o">$</span><span class="p">(</span><span class="n">syms</span><span class="o">...</span><span class="p">)))</span>
<span class="k">end</span>
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<p>This is what gets @eval'ed (at macro expansion time) with <code>@anon2(x->x+y)</code></p>
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<div class=" highlight hl-julia"><pre><span class="c"># Immutable seems like a better choice...?</span>
<span class="n">typename</span><span class="p">,</span> <span class="n">type_expr</span><span class="p">,</span> <span class="n">execute_body_expr</span><span class="p">,</span> <span class="n">call_expr</span> <span class="o">=</span> <span class="n">type_definition</span><span class="p">((:</span><span class="n">x</span><span class="p">,),</span> <span class="p">(:</span><span class="n">y</span><span class="p">,),</span> <span class="p">:(</span><span class="n">x</span> <span class="o">+</span> <span class="n">y</span><span class="p">))</span>
<span class="n">macroexpand</span><span class="p">(</span><span class="n">type_expr</span><span class="p">)</span>
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<pre>:(immutable ##Closure#7733{##T#7735}
y::##T#7735
end)</pre>
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<div class=" highlight hl-julia"><pre><span class="n">execute_body_expr</span> <span class="c"># helper - contains the body of the expression</span>
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<pre>:(##Helper#7734(x,y) = begin # In[2], line 8:
x + y
end)</pre>
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<div class=" highlight hl-julia"><pre><span class="n">call_expr</span> <span class="c"># hopefully gets inlined every time</span>
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<pre>:(Base.call(instance::##Closure#7733,x) = begin # In[2], line 9:
##Helper#7734(x,instance.y)
end)</pre>
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<p>It works:</p>
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<div class=" highlight hl-julia"><pre><span class="n">y</span> <span class="o">=</span> <span class="mi">10</span>
<span class="n">f</span> <span class="o">=</span> <span class="p">@</span><span class="n">anon2</span><span class="p">(</span><span class="n">x</span><span class="o">-></span><span class="n">x</span><span class="o">+</span><span class="n">y</span><span class="p">)</span>
<span class="n">f</span><span class="p">(</span><span class="mi">33</span><span class="p">)</span>
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<pre>43</pre>
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<h2 id="Benchmarks">Benchmarks<a class="anchor-link" href="#Benchmarks">¶</a></h2>
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<div class=" highlight hl-julia"><pre><span class="k">function</span><span class="nf"> testn</span><span class="p">(</span><span class="n">f</span><span class="p">,</span> <span class="n">n</span><span class="p">)</span>
<span class="n">s</span> <span class="o">=</span> <span class="mf">0.0</span>
<span class="k">for</span> <span class="n">i</span> <span class="o">=</span> <span class="mi">1</span><span class="p">:</span><span class="n">n</span>
<span class="n">s</span> <span class="o">+=</span> <span class="n">f</span><span class="p">(</span><span class="n">i</span><span class="o">/</span><span class="n">n</span><span class="p">)</span>
<span class="k">end</span>
<span class="n">s</span>
<span class="k">end</span>
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<pre>testn (generic function with 1 method)</pre>
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<div class=" highlight hl-julia"><pre><span class="n">offset</span> <span class="o">=</span> <span class="mf">1.2</span>
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<pre>1.2</pre>
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<p>For n=10^7, when we include closure-creation in the FastAnonymous.jl benchmark, <code>@anon2</code> is only 25% faster than <code>@anon</code></p>
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<div class=" highlight hl-julia"><pre><span class="n">normal_foo</span><span class="p">()</span> <span class="o">=</span> <span class="n">testn</span><span class="p">(</span><span class="n">x</span><span class="o">-></span><span class="p">(</span><span class="n">x</span><span class="o">+</span><span class="n">offset</span><span class="p">)</span><span class="o">^</span><span class="mi">2</span><span class="p">,</span> <span class="mi">10</span><span class="o">^</span><span class="mi">7</span><span class="p">)</span> <span class="c"># using regular closures</span>
<span class="p">@</span><span class="n">benchmark</span> <span class="n">normal_foo</span><span class="p">()</span>
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<pre>================ Benchmark Results ========================
Time per evaluation: 1.11 s [927.88 ms, 1.28 s]
Proportion of time in GC: 3.55% [3.14%, 3.97%]
Memory allocated: 610.35 mb
Number of allocations: 40000000 allocations
Number of samples: 7
Number of evaluations: 7
Time spent benchmarking: 9.10 s
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<div class=" highlight hl-julia"><pre><span class="n">anon_foo</span><span class="p">()</span> <span class="o">=</span> <span class="n">testn</span><span class="p">(@</span><span class="n">anon</span><span class="p">(</span><span class="n">x</span><span class="o">-></span><span class="p">(</span><span class="n">x</span><span class="o">+</span><span class="n">offset</span><span class="p">)</span><span class="o">^</span><span class="mi">2</span><span class="p">),</span> <span class="mi">10</span><span class="o">^</span><span class="mi">7</span><span class="p">)</span>
<span class="p">@</span><span class="n">benchmark</span> <span class="n">anon_foo</span><span class="p">()</span>
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<pre>================ Benchmark Results ========================
Time per evaluation: 63.40 ms [59.53 ms, 67.28 ms]
Proportion of time in GC: 0.07% [0.00%, 0.52%]
Memory allocated: 1.08 kb
Number of allocations: 41 allocations
Number of samples: 100
Number of evaluations: 100
Time spent benchmarking: 6.68 s
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<div class=" highlight hl-julia"><pre><span class="n">anon2_foo</span><span class="p">()</span> <span class="o">=</span> <span class="n">testn</span><span class="p">(@</span><span class="n">anon2</span><span class="p">(</span><span class="n">x</span><span class="o">-></span><span class="p">(</span><span class="n">x</span><span class="o">+</span><span class="n">offset</span><span class="p">)</span><span class="o">^</span><span class="mi">2</span><span class="p">),</span> <span class="mi">10</span><span class="o">^</span><span class="mi">7</span><span class="p">)</span>
<span class="p">@</span><span class="n">benchmark</span> <span class="n">anon2_foo</span><span class="p">()</span>
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<pre>================ Benchmark Results ========================
Time per evaluation: 47.27 ms [44.91 ms, 49.64 ms]
Proportion of time in GC: 0.00% [0.00%, 0.00%]
Memory allocated: 48.00 bytes
Number of allocations: 3 allocations
Number of samples: 100
Number of evaluations: 100
Time spent benchmarking: 4.97 s
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<p>But there's a huge difference with n=100</p>
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<div class=" highlight hl-julia"><pre><span class="n">normal_foo</span><span class="p">()</span> <span class="o">=</span> <span class="n">testn</span><span class="p">(</span><span class="n">x</span><span class="o">-></span><span class="p">(</span><span class="n">x</span><span class="o">+</span><span class="n">offset</span><span class="p">)</span><span class="o">^</span><span class="mi">2</span><span class="p">,</span> <span class="mi">10</span><span class="o">^</span><span class="mi">2</span><span class="p">)</span>
<span class="p">@</span><span class="n">benchmark</span> <span class="n">normal_foo</span><span class="p">()</span>
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<pre>================ Benchmark Results ========================
Time per evaluation: 10.84 μs [10.57 μs, 11.12 μs]
Proportion of time in GC: 0.00% [0.00%, 0.00%]
Memory allocated: 6.25 kb
Number of allocations: 400 allocations
Number of samples: 2901
Number of evaluations: 31101
R² of OLS model: 0.952
Time spent benchmarking: 1.85 s
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<div class=" highlight hl-julia"><pre><span class="n">anon_foo</span><span class="p">()</span> <span class="o">=</span> <span class="n">testn</span><span class="p">(@</span><span class="n">anon</span><span class="p">(</span><span class="n">x</span><span class="o">-></span><span class="p">(</span><span class="n">x</span><span class="o">+</span><span class="n">offset</span><span class="p">)</span><span class="o">^</span><span class="mi">2</span><span class="p">),</span> <span class="mi">10</span><span class="o">^</span><span class="mi">2</span><span class="p">)</span>
<span class="p">@</span><span class="n">benchmark</span> <span class="n">anon_foo</span><span class="p">()</span>
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<pre>================ Benchmark Results ========================
Time per evaluation: 20.59 ms [13.99 ms, 27.19 ms]
Proportion of time in GC: 0.62% [0.00%, 1.66%]
Memory allocated: 1.06 kb
Number of allocations: 40 allocations
Number of samples: 301
Number of evaluations: 801
R² of OLS model: 0.540
Time spent benchmarking: 12.88 s
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<div class=" highlight hl-julia"><pre><span class="n">anon2_foo</span><span class="p">()</span> <span class="o">=</span> <span class="n">testn</span><span class="p">(@</span><span class="n">anon2</span><span class="p">(</span><span class="n">x</span><span class="o">-></span><span class="p">(</span><span class="n">x</span><span class="o">+</span><span class="n">offset</span><span class="p">)</span><span class="o">^</span><span class="mi">2</span><span class="p">),</span> <span class="mi">10</span><span class="o">^</span><span class="mi">2</span><span class="p">)</span>
<span class="p">@</span><span class="n">benchmark</span> <span class="n">anon2_foo</span><span class="p">()</span>
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<pre>================ Benchmark Results ========================
Time per evaluation: 1.29 μs [1.26 μs, 1.32 μs]
Proportion of time in GC: 0.00% [0.00%, 0.00%]
Memory allocated: 32.00 bytes
Number of allocations: 2 allocations
Number of samples: 2701
Number of evaluations: 25501
R² of OLS model: 0.957
Time spent benchmarking: 1.50 s
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