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<pre id='vimCodeElement'>
<span class="SalientComment">//:: Like container definitions, recipes too can contain type parameters.</span>

<span class="Delimiter">:(scenario shape_shifting_recipe)</span>
recipe main [
  <span class="Constant">10</span>:point<span class="Special"> &lt;- </span>merge <span class="Constant">14</span><span class="Delimiter">,</span> <span class="Constant">15</span>
  <span class="Constant">11</span>:point<span class="Special"> &lt;- </span>foo <span class="Constant">10</span>:point
]
<span class="Comment"># non-matching variant</span>
recipe foo a:number <span class="Delimiter">-&gt;</span> result:number [
  local-scope
  load-ingredients
  result<span class="Special"> &lt;- </span>copy <span class="Constant">34</span>
]
<span class="Comment"># matching shape-shifting variant</span>
recipe foo a:_t <span class="Delimiter">-&gt;</span> result:_t [
  local-scope
  load-ingredients
  result<span class="Special"> &lt;- </span>copy a
]
<span class="traceContains">+mem: storing 14 in location 11</span>
<span class="traceContains">+mem: storing 15 in location 12</span>

<span class="Comment">//: Before anything else, disable transforms for shape-shifting recipes and</span>
<span class="Comment">//: make sure we never try to actually run a shape-shifting recipe. We should</span>
<span class="Comment">//: be rewriting such instructions to *specializations* with the type</span>
<span class="Comment">//: ingredients filled in.</span>

<span class="Delimiter">:(before &quot;End Transform Checks&quot;)</span>
if <span class="Delimiter">(</span>any_type_ingredient_in_header<span class="Delimiter">(</span><span class="Comment">/*</span><span class="Comment">recipe_ordinal</span><span class="Comment">*/</span>p<span class="Delimiter">-&gt;</span>first<span class="Delimiter">))</span> <span class="Identifier">continue</span><span class="Delimiter">;</span>

<span class="Delimiter">:(after &quot;Running One Instruction&quot;)</span>
if <span class="Delimiter">(</span>Current_routine<span class="Delimiter">-&gt;</span>calls<span class="Delimiter">.</span>front<span class="Delimiter">().</span>running_step_index == <span class="Constant">0</span>
    &amp;&amp; any_type_ingredient_in_header<span class="Delimiter">(</span>Current_routine<span class="Delimiter">-&gt;</span>calls<span class="Delimiter">.</span>front<span class="Delimiter">().</span>running_recipe<span class="Delimiter">))</span> <span class="Delimiter">{</span>
<span class="CommentedCode">//?   DUMP(&quot;&quot;);</span>
  raise_error &lt;&lt; <span class="Constant">&quot;ran into unspecialized shape-shifting recipe &quot;</span> &lt;&lt; current_recipe_name<span class="Delimiter">()</span> &lt;&lt; <span class="cSpecial">'\n'</span> &lt;&lt; end<span class="Delimiter">();</span>
<span class="Delimiter">}</span>

<span class="Comment">//: Make sure we don't match up literals with type ingredients without</span>
<span class="Comment">//: specialization.</span>
<span class="Delimiter">:(before &quot;End Matching Types For Literal(lhs)&quot;)</span>
if <span class="Delimiter">(</span>contains_type_ingredient_name<span class="Delimiter">(</span>lhs<span class="Delimiter">))</span> <span class="Identifier">return</span> <span class="Constant">false</span><span class="Delimiter">;</span>

<span class="Comment">//: We'll be creating recipes without loading them from anywhere by</span>
<span class="Comment">//: *specializing* existing recipes.</span>
<span class="Comment">//:</span>
<span class="Comment">//: Keep track of these new recipes in a separate variable in addition to</span>
<span class="Comment">//: recently_added_recipes, so that edit/ can clear them before reloading to</span>
<span class="Comment">//: regenerate errors.</span>
<span class="Delimiter">:(before &quot;End Globals&quot;)</span>
vector&lt;recipe_ordinal&gt; recently_added_shape_shifting_recipes<span class="Delimiter">;</span>
<span class="Delimiter">:(before &quot;End Setup&quot;)</span>
<span class="CommentedCode">//? cerr &lt;&lt; &quot;setup: clearing recently-added shape-shifting recipes\n&quot;;</span>
recently_added_shape_shifting_recipes<span class="Delimiter">.</span>clear<span class="Delimiter">();</span>

<span class="Comment">//: make sure we don't clear any of these recipes when we start running tests</span>
<span class="Delimiter">:(before &quot;End Loading .mu Files&quot;)</span>
recently_added_recipes<span class="Delimiter">.</span>clear<span class="Delimiter">();</span>
recently_added_types<span class="Delimiter">.</span>clear<span class="Delimiter">();</span>
<span class="CommentedCode">//? cerr &lt;&lt; &quot;clearing recently-added shape-shifting recipes\n&quot;;</span>
recently_added_shape_shifting_recipes<span class="Delimiter">.</span>clear<span class="Delimiter">();</span>

<span class="Comment">//: save original name of specialized recipes</span>
<span class="Delimiter">:(before &quot;End recipe Fields&quot;)</span>
string original_name<span class="Delimiter">;</span>
<span class="Comment">//: original name is only set during load</span>
<span class="Delimiter">:(before &quot;End recipe Refinements&quot;)</span>
result<span class="Delimiter">.</span>original_name = result<span class="Delimiter">.</span>name<span class="Delimiter">;</span>

<span class="Delimiter">:(before &quot;End Instruction Dispatch(inst, best_score)&quot;)</span>
if <span class="Delimiter">(</span>best_score == -<span class="Constant">1</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
  trace<span class="Delimiter">(</span><span class="Constant">9992</span><span class="Delimiter">,</span> <span class="Constant">&quot;transform&quot;</span><span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;no variant found; searching for variant with suitable type ingredients&quot;</span> &lt;&lt; end<span class="Delimiter">();</span>
<span class="CommentedCode">//?   cerr &lt;&lt; &quot;no variant found for &quot; &lt;&lt; inst.name &lt;&lt; &quot;; searching for variant with suitable type ingredients&quot; &lt;&lt; '\n';</span>
  recipe_ordinal exemplar = pick_matching_shape_shifting_variant<span class="Delimiter">(</span>variants<span class="Delimiter">,</span> inst<span class="Delimiter">,</span> best_score<span class="Delimiter">);</span>
  if <span class="Delimiter">(</span>exemplar<span class="Delimiter">)</span> <span class="Delimiter">{</span>
    trace<span class="Delimiter">(</span><span class="Constant">9992</span><span class="Delimiter">,</span> <span class="Constant">&quot;transform&quot;</span><span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;found variant to specialize: &quot;</span> &lt;&lt; exemplar &lt;&lt; <span class="Constant">' '</span> &lt;&lt; get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> exemplar<span class="Delimiter">).</span>name &lt;&lt; end<span class="Delimiter">();</span>
<span class="CommentedCode">//?     cerr &lt;&lt; &quot;found variant to specialize: &quot; &lt;&lt; exemplar &lt;&lt; ' ' &lt;&lt; get(Recipe, exemplar).name &lt;&lt; '\n';</span>
    recipe_ordinal new_recipe_ordinal = new_variant<span class="Delimiter">(</span>exemplar<span class="Delimiter">,</span> inst<span class="Delimiter">,</span> caller_recipe<span class="Delimiter">);</span>
    variants<span class="Delimiter">.</span>push_back<span class="Delimiter">(</span>new_recipe_ordinal<span class="Delimiter">);</span>
    <span class="Comment">// perform all transforms on the new specialization</span>
    const string&amp; new_name = get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> variants<span class="Delimiter">.</span>back<span class="Delimiter">()).</span>name<span class="Delimiter">;</span>
    trace<span class="Delimiter">(</span><span class="Constant">9992</span><span class="Delimiter">,</span> <span class="Constant">&quot;transform&quot;</span><span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;transforming new specialization: &quot;</span> &lt;&lt; new_name &lt;&lt; end<span class="Delimiter">();</span>
<span class="CommentedCode">//?     cerr &lt;&lt; &quot;transforming new specialization: &quot; &lt;&lt; new_name &lt;&lt; '\n';</span>
    for <span class="Delimiter">(</span>long long int t = <span class="Constant">0</span><span class="Delimiter">;</span> t &lt; SIZE<span class="Delimiter">(</span>Transform<span class="Delimiter">);</span> ++t<span class="Delimiter">)</span> <span class="Delimiter">{</span>
      <span class="Delimiter">(</span>*Transform<span class="Delimiter">.</span>at<span class="Delimiter">(</span>t<span class="Delimiter">))(</span>new_recipe_ordinal<span class="Delimiter">);</span>
    <span class="Delimiter">}</span>
    get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> new_recipe_ordinal<span class="Delimiter">).</span>transformed_until = SIZE<span class="Delimiter">(</span>Transform<span class="Delimiter">)</span>-<span class="Constant">1</span><span class="Delimiter">;</span>
<span class="CommentedCode">//?     cerr &lt;&lt; &quot;-- replacing &quot; &lt;&lt; inst.name &lt;&lt; &quot; with &quot; &lt;&lt; get(Recipe, variants.back()).name &lt;&lt; '\n' &lt;&lt; debug_string(get(Recipe, variants.back()));</span>
    inst<span class="Delimiter">.</span>name = get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> variants<span class="Delimiter">.</span>back<span class="Delimiter">()).</span>name<span class="Delimiter">;</span>
    trace<span class="Delimiter">(</span><span class="Constant">9992</span><span class="Delimiter">,</span> <span class="Constant">&quot;transform&quot;</span><span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;new specialization: &quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>name &lt;&lt; end<span class="Delimiter">();</span>
<span class="CommentedCode">//?     cerr &lt;&lt; &quot;new specialization: &quot; &lt;&lt; inst.name &lt;&lt; '\n';</span>
  <span class="Delimiter">}</span>
<span class="Delimiter">}</span>

<span class="Delimiter">:(code)</span>
recipe_ordinal pick_matching_shape_shifting_variant<span class="Delimiter">(</span>vector&lt;recipe_ordinal&gt;&amp; variants<span class="Delimiter">,</span> const instruction&amp; inst<span class="Delimiter">,</span> long long int&amp; best_score<span class="Delimiter">)</span> <span class="Delimiter">{</span>
<span class="CommentedCode">//?   cerr &lt;&lt; &quot;---- &quot; &lt;&lt; inst.name &lt;&lt; &quot;: &quot; &lt;&lt; non_ghost_size(variants) &lt;&lt; '\n';</span>
  recipe_ordinal result = <span class="Constant">0</span><span class="Delimiter">;</span>
  for <span class="Delimiter">(</span>long long int i = <span class="Constant">0</span><span class="Delimiter">;</span> i &lt; SIZE<span class="Delimiter">(</span>variants<span class="Delimiter">);</span> ++i<span class="Delimiter">)</span> <span class="Delimiter">{</span>
    if <span class="Delimiter">(</span>variants<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">)</span> == -<span class="Constant">1</span><span class="Delimiter">)</span> <span class="Identifier">continue</span><span class="Delimiter">;</span>  <span class="Comment">// ghost from a previous test</span>
<span class="CommentedCode">//?     cerr &lt;&lt; &quot;-- variant &quot; &lt;&lt; i &lt;&lt; &quot;\n&quot; &lt;&lt; debug_string(get(Recipe, variants.at(i)));</span>
    trace<span class="Delimiter">(</span><span class="Constant">9992</span><span class="Delimiter">,</span> <span class="Constant">&quot;transform&quot;</span><span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;checking shape-shifting variant &quot;</span> &lt;&lt; i &lt;&lt; end<span class="Delimiter">();</span>
    long long int current_score = shape_shifting_variant_score<span class="Delimiter">(</span>inst<span class="Delimiter">,</span> variants<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">));</span>
    trace<span class="Delimiter">(</span><span class="Constant">9992</span><span class="Delimiter">,</span> <span class="Constant">&quot;transform&quot;</span><span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;final score: &quot;</span> &lt;&lt; current_score &lt;&lt; end<span class="Delimiter">();</span>
<span class="CommentedCode">//?     cerr &lt;&lt; get(Recipe, variants.at(i)).name &lt;&lt; &quot;: &quot; &lt;&lt; current_score &lt;&lt; '\n';</span>
    if <span class="Delimiter">(</span>current_score &gt; best_score<span class="Delimiter">)</span> <span class="Delimiter">{</span>
      trace<span class="Delimiter">(</span><span class="Constant">9992</span><span class="Delimiter">,</span> <span class="Constant">&quot;transform&quot;</span><span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;matches&quot;</span> &lt;&lt; end<span class="Delimiter">();</span>
      result = variants<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">);</span>
      best_score = current_score<span class="Delimiter">;</span>
    <span class="Delimiter">}</span>
  <span class="Delimiter">}</span>
  <span class="Identifier">return</span> result<span class="Delimiter">;</span>
<span class="Delimiter">}</span>

long long int shape_shifting_variant_score<span class="Delimiter">(</span>const instruction&amp; inst<span class="Delimiter">,</span> recipe_ordinal variant<span class="Delimiter">)</span> <span class="Delimiter">{</span>
<span class="CommentedCode">//?   cerr &lt;&lt; &quot;======== &quot; &lt;&lt; inst.to_string() &lt;&lt; '\n';</span>
  if <span class="Delimiter">(</span>!any_type_ingredient_in_header<span class="Delimiter">(</span>variant<span class="Delimiter">))</span> <span class="Delimiter">{</span>
    trace<span class="Delimiter">(</span><span class="Constant">9993</span><span class="Delimiter">,</span> <span class="Constant">&quot;transform&quot;</span><span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;no type ingredients&quot;</span> &lt;&lt; end<span class="Delimiter">();</span>
<span class="CommentedCode">//?     cerr &lt;&lt; &quot;no type ingredients\n&quot;;</span>
    <span class="Identifier">return</span> -<span class="Constant">1</span><span class="Delimiter">;</span>
  <span class="Delimiter">}</span>
  const vector&lt;reagent&gt;&amp; header_ingredients = get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> variant<span class="Delimiter">).</span>ingredients<span class="Delimiter">;</span>
  if <span class="Delimiter">(</span>SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">)</span> &lt; SIZE<span class="Delimiter">(</span>header_ingredients<span class="Delimiter">))</span> <span class="Delimiter">{</span>
    trace<span class="Delimiter">(</span><span class="Constant">9993</span><span class="Delimiter">,</span> <span class="Constant">&quot;transform&quot;</span><span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;too few ingredients&quot;</span> &lt;&lt; end<span class="Delimiter">();</span>
<span class="CommentedCode">//?     cerr &lt;&lt; &quot;too few ingredients\n&quot;;</span>
    <span class="Identifier">return</span> -<span class="Constant">1</span><span class="Delimiter">;</span>
  <span class="Delimiter">}</span>
  for <span class="Delimiter">(</span>long long int i = <span class="Constant">0</span><span class="Delimiter">;</span> i &lt; SIZE<span class="Delimiter">(</span>header_ingredients<span class="Delimiter">);</span> ++i<span class="Delimiter">)</span> <span class="Delimiter">{</span>
    if <span class="Delimiter">(</span>!deeply_equal_concrete_types<span class="Delimiter">(</span>header_ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">),</span> inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">)))</span> <span class="Delimiter">{</span>
      trace<span class="Delimiter">(</span><span class="Constant">9993</span><span class="Delimiter">,</span> <span class="Constant">&quot;transform&quot;</span><span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;mismatch: ingredient &quot;</span> &lt;&lt; i &lt;&lt; end<span class="Delimiter">();</span>
<span class="CommentedCode">//?       cerr &lt;&lt; &quot;mismatch: ingredient &quot; &lt;&lt; i &lt;&lt; &quot;: &quot; &lt;&lt; debug_string(header_ingredients.at(i)) &lt;&lt; &quot; vs &quot; &lt;&lt; debug_string(inst.ingredients.at(i)) &lt;&lt; '\n';</span>
      <span class="Identifier">return</span> -<span class="Constant">1</span><span class="Delimiter">;</span>
    <span class="Delimiter">}</span>
  <span class="Delimiter">}</span>
  if <span class="Delimiter">(</span>SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">)</span> &gt; SIZE<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> variant<span class="Delimiter">).</span>products<span class="Delimiter">))</span> <span class="Delimiter">{</span>
    trace<span class="Delimiter">(</span><span class="Constant">9993</span><span class="Delimiter">,</span> <span class="Constant">&quot;transform&quot;</span><span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;too few products&quot;</span> &lt;&lt; end<span class="Delimiter">();</span>
<span class="CommentedCode">//?     cerr &lt;&lt; &quot;too few products\n&quot;;</span>
    <span class="Identifier">return</span> -<span class="Constant">1</span><span class="Delimiter">;</span>
  <span class="Delimiter">}</span>
  const vector&lt;reagent&gt;&amp; header_products = get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> variant<span class="Delimiter">).</span>products<span class="Delimiter">;</span>
  for <span class="Delimiter">(</span>long long int i = <span class="Constant">0</span><span class="Delimiter">;</span> i &lt; SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">);</span> ++i<span class="Delimiter">)</span> <span class="Delimiter">{</span>
    if <span class="Delimiter">(</span>!deeply_equal_concrete_types<span class="Delimiter">(</span>header_products<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">),</span> inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">)))</span> <span class="Delimiter">{</span>
      trace<span class="Delimiter">(</span><span class="Constant">9993</span><span class="Delimiter">,</span> <span class="Constant">&quot;transform&quot;</span><span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;mismatch: product &quot;</span> &lt;&lt; i &lt;&lt; end<span class="Delimiter">();</span>
<span class="CommentedCode">//?       cerr &lt;&lt; &quot;mismatch: product &quot; &lt;&lt; i &lt;&lt; '\n';</span>
      <span class="Identifier">return</span> -<span class="Constant">1</span><span class="Delimiter">;</span>
    <span class="Delimiter">}</span>
  <span class="Delimiter">}</span>
  <span class="Comment">// the greater the number of unused ingredients, the lower the score</span>
  <span class="Identifier">return</span> <span class="Constant">100</span> - <span class="Delimiter">(</span>SIZE<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> variant<span class="Delimiter">).</span>products<span class="Delimiter">)</span>-SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">))</span>
             - <span class="Delimiter">(</span>SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">)</span>-SIZE<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> variant<span class="Delimiter">).</span>ingredients<span class="Delimiter">))</span>  <span class="Comment">// ok to go negative</span>
             + number_of_concrete_types<span class="Delimiter">(</span>variant<span class="Delimiter">);</span>
<span class="Delimiter">}</span>

bool any_type_ingredient_in_header<span class="Delimiter">(</span>recipe_ordinal variant<span class="Delimiter">)</span> <span class="Delimiter">{</span>
  const recipe&amp; caller = get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> variant<span class="Delimiter">);</span>
  for <span class="Delimiter">(</span>long long int i = <span class="Constant">0</span><span class="Delimiter">;</span> i &lt; SIZE<span class="Delimiter">(</span>caller<span class="Delimiter">.</span>ingredients<span class="Delimiter">);</span> ++i<span class="Delimiter">)</span> <span class="Delimiter">{</span>
    if <span class="Delimiter">(</span>contains_type_ingredient_name<span class="Delimiter">(</span>caller<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">)))</span>
      <span class="Identifier">return</span> <span class="Constant">true</span><span class="Delimiter">;</span>
  <span class="Delimiter">}</span>
  for <span class="Delimiter">(</span>long long int i = <span class="Constant">0</span><span class="Delimiter">;</span> i &lt; SIZE<span class="Delimiter">(</span>caller<span class="Delimiter">.</span>products<span class="Delimiter">);</span> ++i<span class="Delimiter">)</span> <span class="Delimiter">{</span>
    if <span class="Delimiter">(</span>contains_type_ingredient_name<span class="Delimiter">(</span>caller<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">)))</span>
      <span class="Identifier">return</span> <span class="Constant">true</span><span class="Delimiter">;</span>
  <span class="Delimiter">}</span>
  <span class="Identifier">return</span> <span class="Constant">false</span><span class="Delimiter">;</span>
<span class="Delimiter">}</span>

bool deeply_equal_concrete_types<span class="Delimiter">(</span>reagent lhs<span class="Delimiter">,</span> reagent rhs<span class="Delimiter">)</span> <span class="Delimiter">{</span>
  canonize_type<span class="Delimiter">(</span>lhs<span class="Delimiter">);</span>
  canonize_type<span class="Delimiter">(</span>rhs<span class="Delimiter">);</span>
  <span class="Identifier">return</span> deeply_equal_concrete_types<span class="Delimiter">(</span>lhs<span class="Delimiter">.</span>properties<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>second<span class="Delimiter">,</span> rhs<span class="Delimiter">.</span>properties<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>second<span class="Delimiter">,</span> rhs<span class="Delimiter">);</span>
<span class="Delimiter">}</span>

long long int number_of_concrete_types<span class="Delimiter">(</span>recipe_ordinal r<span class="Delimiter">)</span> <span class="Delimiter">{</span>
  const recipe&amp; caller = get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> r<span class="Delimiter">);</span>
  long long int result = <span class="Constant">0</span><span class="Delimiter">;</span>
  for <span class="Delimiter">(</span>long long int i = <span class="Constant">0</span><span class="Delimiter">;</span> i &lt; SIZE<span class="Delimiter">(</span>caller<span class="Delimiter">.</span>ingredients<span class="Delimiter">);</span> ++i<span class="Delimiter">)</span>
    result += number_of_concrete_types<span class="Delimiter">(</span>caller<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">));</span>
  for <span class="Delimiter">(</span>long long int i = <span class="Constant">0</span><span class="Delimiter">;</span> i &lt; SIZE<span class="Delimiter">(</span>caller<span class="Delimiter">.</span>products<span class="Delimiter">);</span> ++i<span class="Delimiter">)</span>
    result += number_of_concrete_types<span class="Delimiter">(</span>caller<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">));</span>
  <span class="Identifier">return</span> result<span class="Delimiter">;</span>
<span class="Delimiter">}</span>

long long int number_of_concrete_types<span class="Delimiter">(</span>const reagent&amp; r<span class="Delimiter">)</span> <span class="Delimiter">{</span>
  <span class="Identifier">return</span> number_of_concrete_types<span class="Delimiter">(</span>r<span class="Delimiter">.</span>properties<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>second<span class="Delimiter">);</span>
<span class="Delimiter">}</span>

long long int number_of_concrete_types<span class="Delimiter">(</span>const string_tree* type<span class="Delimiter">)</span> <span class="Delimiter">{</span>
  if <span class="Delimiter">(</span>!type<span class="Delimiter">)</span> <span class="Identifier">return</span> <span class="Constant">0</span><span class="Delimiter">;</span>
  long long int result = <span class="Constant">0</span><span class="Delimiter">;</span>
  if <span class="Delimiter">(</span>!type<span class="Delimiter">-&gt;</span>value<span class="Delimiter">.</span>empty<span class="Delimiter">()</span> &amp;&amp; !is_type_ingredient_name<span class="Delimiter">(</span>type<span class="Delimiter">-&gt;</span>value<span class="Delimiter">))</span>
    result++<span class="Delimiter">;</span>
  result += number_of_concrete_types<span class="Delimiter">(</span>type<span class="Delimiter">-&gt;</span>left<span class="Delimiter">);</span>
  result += number_of_concrete_types<span class="Delimiter">(</span>type<span class="Delimiter">-&gt;</span>right<span class="Delimiter">);</span>
  <span class="Identifier">return</span> result<span class="Delimiter">;</span>
<span class="Delimiter">}</span>

bool deeply_equal_concrete_types<span class="Delimiter">(</span>const string_tree* lhs<span class="Delimiter">,</span> const string_tree* rhs<span class="Delimiter">,</span> const reagent&amp; rhs_reagent<span class="Delimiter">)</span> <span class="Delimiter">{</span>
  if <span class="Delimiter">(</span>!lhs<span class="Delimiter">)</span> <span class="Identifier">return</span> !rhs<span class="Delimiter">;</span>
  if <span class="Delimiter">(</span>!rhs<span class="Delimiter">)</span> <span class="Identifier">return</span> !lhs<span class="Delimiter">;</span>
  if <span class="Delimiter">(</span>is_type_ingredient_name<span class="Delimiter">(</span>lhs<span class="Delimiter">-&gt;</span>value<span class="Delimiter">))</span> <span class="Identifier">return</span> <span class="Constant">true</span><span class="Delimiter">;</span>  <span class="Comment">// type ingredient matches anything</span>
  if <span class="Delimiter">(</span>lhs<span class="Delimiter">-&gt;</span>value == <span class="Constant">&quot;literal&quot;</span> &amp;&amp; rhs<span class="Delimiter">-&gt;</span>value == <span class="Constant">&quot;literal&quot;</span><span class="Delimiter">)</span>
    <span class="Identifier">return</span> <span class="Constant">true</span><span class="Delimiter">;</span>
  if <span class="Delimiter">(</span>lhs<span class="Delimiter">-&gt;</span>value == <span class="Constant">&quot;literal&quot;</span>
      &amp;&amp; Literal_type_names<span class="Delimiter">.</span>find<span class="Delimiter">(</span>rhs<span class="Delimiter">-&gt;</span>value<span class="Delimiter">)</span> != Literal_type_names<span class="Delimiter">.</span>end<span class="Delimiter">())</span>
    <span class="Identifier">return</span> <span class="Constant">true</span><span class="Delimiter">;</span>
  if <span class="Delimiter">(</span>rhs<span class="Delimiter">-&gt;</span>value == <span class="Constant">&quot;literal&quot;</span>
      &amp;&amp; Literal_type_names<span class="Delimiter">.</span>find<span class="Delimiter">(</span>lhs<span class="Delimiter">-&gt;</span>value<span class="Delimiter">)</span> != Literal_type_names<span class="Delimiter">.</span>end<span class="Delimiter">())</span>
    <span class="Identifier">return</span> <span class="Constant">true</span><span class="Delimiter">;</span>
  if <span class="Delimiter">(</span>rhs<span class="Delimiter">-&gt;</span>value == <span class="Constant">&quot;literal&quot;</span> &amp;&amp; lhs<span class="Delimiter">-&gt;</span>value == <span class="Constant">&quot;address&quot;</span><span class="Delimiter">)</span>
    <span class="Identifier">return</span> rhs_reagent<span class="Delimiter">.</span>name == <span class="Constant">&quot;0&quot;</span><span class="Delimiter">;</span>
<span class="CommentedCode">//?   cerr &lt;&lt; lhs-&gt;value &lt;&lt; &quot; vs &quot; &lt;&lt; rhs-&gt;value &lt;&lt; '\n';</span>
  <span class="Identifier">return</span> lhs<span class="Delimiter">-&gt;</span>value == rhs<span class="Delimiter">-&gt;</span>value
      &amp;&amp; deeply_equal_concrete_types<span class="Delimiter">(</span>lhs<span class="Delimiter">-&gt;</span>left<span class="Delimiter">,</span> rhs<span class="Delimiter">-&gt;</span>left<span class="Delimiter">,</span> rhs_reagent<span class="Delimiter">)</span>
      &amp;&amp; deeply_equal_concrete_types<span class="Delimiter">(</span>lhs<span class="Delimiter">-&gt;</span>right<span class="Delimiter">,</span> rhs<span class="Delimiter">-&gt;</span>right<span class="Delimiter">,</span> rhs_reagent<span class="Delimiter">);</span>
<span class="Delimiter">}</span>

bool contains_type_ingredient_name<span class="Delimiter">(</span>const reagent&amp; x<span class="Delimiter">)</span> <span class="Delimiter">{</span>
  <span class="Identifier">return</span> contains_type_ingredient_name<span class="Delimiter">(</span>x<span class="Delimiter">.</span>properties<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>second<span class="Delimiter">);</span>
<span class="Delimiter">}</span>

bool contains_type_ingredient_name<span class="Delimiter">(</span>const string_tree* type<span class="Delimiter">)</span> <span class="Delimiter">{</span>
  if <span class="Delimiter">(</span>!type<span class="Delimiter">)</span> <span class="Identifier">return</span> <span class="Constant">false</span><span class="Delimiter">;</span>
  if <span class="Delimiter">(</span>is_type_ingredient_name<span class="Delimiter">(</span>type<span class="Delimiter">-&gt;</span>value<span class="Delimiter">))</span> <span class="Identifier">return</span> <span class="Constant">true</span><span class="Delimiter">;</span>
  <span class="Identifier">return</span> contains_type_ingredient_name<span class="Delimiter">(</span>type<span class="Delimiter">-&gt;</span>left<span class="Delimiter">)</span> || contains_type_ingredient_name<span class="Delimiter">(</span>type<span class="Delimiter">-&gt;</span>right<span class="Delimiter">);</span>
<span class="Delimiter">}</span>

bool is_type_ingredient_name<span class="Delimiter">(</span>const string&amp; type<span class="Delimiter">)</span> <span class="Delimiter">{</span>
  <span class="Identifier">return</span> !type<span class="Delimiter">.</span>empty<span class="Delimiter">()</span> &amp;&amp; type<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)</span> == <span class="Constant">'_'</span><span class="Delimiter">;</span>
<span class="Delimiter">}</span>

recipe_ordinal new_variant<span class="Delimiter">(</span>recipe_ordinal exemplar<span class="Delimiter">,</span> const instruction&amp; inst<span class="Delimiter">,</span> const recipe&amp; caller_recipe<span class="Delimiter">)</span> <span class="Delimiter">{</span>
  string new_name = next_unused_recipe_name<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>name<span class="Delimiter">);</span>
  trace<span class="Delimiter">(</span><span class="Constant">9993</span><span class="Delimiter">,</span> <span class="Constant">&quot;transform&quot;</span><span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;switching &quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>name &lt;&lt; <span class="Constant">&quot; to &quot;</span> &lt;&lt; new_name &lt;&lt; end<span class="Delimiter">();</span>
  assert<span class="Delimiter">(</span>!contains_key<span class="Delimiter">(</span>Recipe_ordinal<span class="Delimiter">,</span> new_name<span class="Delimiter">));</span>
  recipe_ordinal new_recipe_ordinal = put<span class="Delimiter">(</span>Recipe_ordinal<span class="Delimiter">,</span> new_name<span class="Delimiter">,</span> Next_recipe_ordinal++<span class="Delimiter">);</span>
  <span class="Comment">// make a copy</span>
  assert<span class="Delimiter">(</span>contains_key<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> exemplar<span class="Delimiter">));</span>
  assert<span class="Delimiter">(</span>!contains_key<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> new_recipe_ordinal<span class="Delimiter">));</span>
  recently_added_recipes<span class="Delimiter">.</span>push_back<span class="Delimiter">(</span>new_recipe_ordinal<span class="Delimiter">);</span>
  recently_added_shape_shifting_recipes<span class="Delimiter">.</span>push_back<span class="Delimiter">(</span>new_recipe_ordinal<span class="Delimiter">);</span>
  put<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> new_recipe_ordinal<span class="Delimiter">,</span> get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> exemplar<span class="Delimiter">));</span>
  recipe&amp; new_recipe = get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> new_recipe_ordinal<span class="Delimiter">);</span>
  new_recipe<span class="Delimiter">.</span>name = new_name<span class="Delimiter">;</span>
  <span class="Comment">// Since the exemplar never ran any transforms, we have to redo some of the</span>
  <span class="Comment">// work of the check_types_by_name transform while supporting type-ingredients.</span>
  compute_type_names<span class="Delimiter">(</span>new_recipe<span class="Delimiter">);</span>
  <span class="Comment">// that gives enough information to replace type-ingredients with concrete types</span>
  <span class="Delimiter">{</span>
    map&lt;string<span class="Delimiter">,</span> const string_tree*&gt; mappings<span class="Delimiter">;</span>
    bool error = <span class="Constant">false</span><span class="Delimiter">;</span>
    compute_type_ingredient_mappings<span class="Delimiter">(</span>get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> exemplar<span class="Delimiter">),</span> inst<span class="Delimiter">,</span> mappings<span class="Delimiter">,</span> caller_recipe<span class="Delimiter">,</span> &amp;error<span class="Delimiter">);</span>
    if <span class="Delimiter">(</span>!error<span class="Delimiter">)</span> replace_type_ingredients<span class="Delimiter">(</span>new_recipe<span class="Delimiter">,</span> mappings<span class="Delimiter">);</span>
    for <span class="Delimiter">(</span>map&lt;string<span class="Delimiter">,</span> const string_tree*&gt;::iterator p = mappings<span class="Delimiter">.</span>begin<span class="Delimiter">();</span> p != mappings<span class="Delimiter">.</span>end<span class="Delimiter">();</span> ++p<span class="Delimiter">)</span>
      delete p<span class="Delimiter">-&gt;</span>second<span class="Delimiter">;</span>
    if <span class="Delimiter">(</span>error<span class="Delimiter">)</span> <span class="Identifier">return</span> exemplar<span class="Delimiter">;</span>
  <span class="Delimiter">}</span>
  ensure_all_concrete_types<span class="Delimiter">(</span>new_recipe<span class="Delimiter">,</span> get<span class="Delimiter">(</span>Recipe<span class="Delimiter">,</span> exemplar<span class="Delimiter">));</span>
  <span class="Identifier">return</span> new_recipe_ordinal<span class="Delimiter">;</span>
<span class="Delimiter">}</span>

void compute_type_names<span class="Delimiter">(</span>recipe&amp; variant<span class="Delimiter">)</span> <span class="Delimiter">{</span>
  trace<span class="Delimiter">(</span><span class="Constant">9993</span><span class="Delimiter">,</span> <span class="Constant">&quot;transform&quot;</span><span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;compute type names: &quot;</span> &lt;&lt; variant<span class="Delimiter">.</span>name &lt;&lt; end<span class="Delimiter">();</span>
  map&lt;string<span class="Delimiter">,</span> string_tree*&gt; type_names<span class="Delimiter">;</span>
  for <span class="Delimiter">(</span>long long int i = <span class="Constant">0</span><span class="Delimiter">;</span> i &lt; SIZE<span class="Delimiter">(</span>variant<span class="Delimiter">.</span>ingredients<span class="Delimiter">);</span> ++i<span class="Delimiter">)</span>
    save_or_deduce_type_name<span class="Delimiter">(</span>variant<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">),</span> type_names<span class="Delimiter">,</span> variant<span class="Delimiter">);</span>
  for <span class="Delimiter">(</span>long long int i = <span class="Constant">0</span><span class="Delimiter">;</span> i &lt; SIZE<span class="Delimiter">(</span>variant<span class="Delimiter">.</span>products<span class="Delimiter">);</span> ++i<span class="Delimiter">)</span>
    save_or_deduce_type_name<span class="Delimiter">(</span>variant<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">),</span> type_names<span class="Delimiter">,</span> variant<span class="Delimiter">);</span>
  for <span class="Delimiter">(</span>long long int i = <span class="Constant">0</span><span class="Delimiter">;</span> i &lt; SIZE<span class="Delimiter">(</span>variant<span class="Delimiter">.</span>steps<span class="Delimiter">);</span> ++i<span class="Delimiter">)</span> <span class="Delimiter">{</span>
    instruction&amp; inst = variant<span class="Delimiter">.</span>steps<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">);</span>
    trace<span class="Delimiter">(</span><span class="Constant">9993</span><span class="Delimiter">,</span> <span class="Constant">&quot;transform&quot;</span><span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;  instruction: &quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>to_string<span class="Delimiter">()</span> &lt;&lt; end<span class="Delimiter">();</span>
    for <span class="Delimiter">(</span>long long int in = <span class="Constant">0</span><span class="Delimiter">;</span> in &lt; SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">);</span> ++in<span class="Delimiter">)</span>
      save_or_deduce_type_name<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>in<span class="Delimiter">),</span> type_names<span class="Delimiter">,</span> variant<span class="Delimiter">);</span>
    for <span class="Delimiter">(</span>long long int out = <span class="Constant">0</span><span class="Delimiter">;</span> out &lt; SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">);</span> ++out<span class="Delimiter">)</span>
      save_or_deduce_type_name<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span>out<span class="Delimiter">),</span> type_names<span class="Delimiter">,</span> variant<span class="Delimiter">);</span>
  <span class="Delimiter">}</span>
<span class="Delimiter">}</span>

void save_or_deduce_type_name<span class="Delimiter">(</span>reagent&amp; x<span class="Delimiter">,</span> map&lt;string<span class="Delimiter">,</span> string_tree*&gt;&amp; type_name<span class="Delimiter">,</span> const recipe&amp; variant<span class="Delimiter">)</span> <span class="Delimiter">{</span>
  trace<span class="Delimiter">(</span><span class="Constant">9994</span><span class="Delimiter">,</span> <span class="Constant">&quot;transform&quot;</span><span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;    checking &quot;</span> &lt;&lt; x<span class="Delimiter">.</span>to_string<span class="Delimiter">()</span> &lt;&lt; <span class="Constant">&quot;: &quot;</span> &lt;&lt; debug_string<span class="Delimiter">(</span>x<span class="Delimiter">.</span>properties<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>second<span class="Delimiter">)</span> &lt;&lt; end<span class="Delimiter">();</span>
  if <span class="Delimiter">(</span>!x<span class="Delimiter">.</span>properties<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>second &amp;&amp; contains_key<span class="Delimiter">(</span>type_name<span class="Delimiter">,</span> x<span class="Delimiter">.</span>name<span class="Delimiter">))</span> <span class="Delimiter">{</span>
    x<span class="Delimiter">.</span>properties<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>second = new string_tree<span class="Delimiter">(</span>*get<span class="Delimiter">(</span>type_name<span class="Delimiter">,</span> x<span class="Delimiter">.</span>name<span class="Delimiter">));</span>
    trace<span class="Delimiter">(</span><span class="Constant">9994</span><span class="Delimiter">,</span> <span class="Constant">&quot;transform&quot;</span><span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;    deducing type to &quot;</span> &lt;&lt; debug_string<span class="Delimiter">(</span>x<span class="Delimiter">.</span>properties<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>second<span class="Delimiter">)</span> &lt;&lt; end<span class="Delimiter">();</span>
    <span class="Identifier">return</span><span class="Delimiter">;</span>
  <span class="Delimiter">}</span>
  if <span class="Delimiter">(</span>!x<span class="Delimiter">.</span>properties<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>second<span class="Delimiter">)</span> <span class="Delimiter">{</span>
    raise_error &lt;&lt; maybe<span class="Delimiter">(</span>variant<span class="Delimiter">.</span>original_name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;unknown type for &quot;</span> &lt;&lt; x<span class="Delimiter">.</span>original_string &lt;&lt; <span class="Constant">&quot; (check the name for typos)</span><span class="cSpecial">\n</span><span class="Constant">&quot;</span> &lt;&lt; end<span class="Delimiter">();</span>
    <span class="Identifier">return</span><span class="Delimiter">;</span>
  <span class="Delimiter">}</span>
  if <span class="Delimiter">(</span>contains_key<span class="Delimiter">(</span>type_name<span class="Delimiter">,</span> x<span class="Delimiter">.</span>name<span class="Delimiter">))</span> <span class="Identifier">return</span><span class="Delimiter">;</span>
  if <span class="Delimiter">(</span>x<span class="Delimiter">.</span>properties<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>second<span class="Delimiter">-&gt;</span>value == <span class="Constant">&quot;offset&quot;</span> || x<span class="Delimiter">.</span>properties<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>second<span class="Delimiter">-&gt;</span>value == <span class="Constant">&quot;variant&quot;</span><span class="Delimiter">)</span> <span class="Identifier">return</span><span class="Delimiter">;</span>  <span class="Comment">// special-case for container-access instructions</span>
  put<span class="Delimiter">(</span>type_name<span class="Delimiter">,</span> x<span class="Delimiter">.</span>name<span class="Delimiter">,</span> x<span class="Delimiter">.</span>properties<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>second<span class="Delimiter">);</span>
  trace<span class="Delimiter">(</span><span class="Constant">9993</span><span class="Delimiter">,</span> <span class="Constant">&quot;transform&quot;</span><span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;type of &quot;</span> &lt;&lt; x<span class="Delimiter">.</span>name &lt;&lt; <span class="Constant">&quot; is &quot;</span> &lt;&lt; debug_string<span class="Delimiter">(</span>x<span class="Delimiter">.</span>properties<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>second<span class="Delimiter">)</span> &lt;&lt; end<span class="Delimiter">();</span>
<span class="Delimiter">}</span>

void compute_type_ingredient_mappings<span class="Delimiter">(</span>const recipe&amp; exemplar<span class="Delimiter">,</span> const instruction&amp; inst<span class="Delimiter">,</span> map&lt;string<span class="Delimiter">,</span> const string_tree*&gt;&amp; mappings<span class="Delimiter">,</span> const recipe&amp; caller_recipe<span class="Delimiter">,</span> bool* error<span class="Delimiter">)</span> <span class="Delimiter">{</span>
  long long int limit = min<span class="Delimiter">(</span>SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">),</span> SIZE<span class="Delimiter">(</span>exemplar<span class="Delimiter">.</span>ingredients<span class="Delimiter">));</span>
  for <span class="Delimiter">(</span>long long int i = <span class="Constant">0</span><span class="Delimiter">;</span> i &lt; limit<span class="Delimiter">;</span> ++i<span class="Delimiter">)</span> <span class="Delimiter">{</span>
    const reagent&amp; exemplar_reagent = exemplar<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">);</span>
    reagent ingredient = inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">);</span>
    assert<span class="Delimiter">(</span>ingredient<span class="Delimiter">.</span>properties<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>second<span class="Delimiter">);</span>
    canonize_type<span class="Delimiter">(</span>ingredient<span class="Delimiter">);</span>
    if <span class="Delimiter">(</span>is_mu_address<span class="Delimiter">(</span>exemplar_reagent<span class="Delimiter">)</span> &amp;&amp; ingredient<span class="Delimiter">.</span>name == <span class="Constant">&quot;0&quot;</span><span class="Delimiter">)</span> <span class="Identifier">continue</span><span class="Delimiter">;</span>  <span class="Comment">// assume it matches</span>
    accumulate_type_ingredients<span class="Delimiter">(</span>exemplar_reagent<span class="Delimiter">,</span> ingredient<span class="Delimiter">,</span> mappings<span class="Delimiter">,</span> exemplar<span class="Delimiter">,</span> inst<span class="Delimiter">,</span> caller_recipe<span class="Delimiter">,</span> error<span class="Delimiter">);</span>
  <span class="Delimiter">}</span>
  limit = min<span class="Delimiter">(</span>SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">),</span> SIZE<span class="Delimiter">(</span>exemplar<span class="Delimiter">.</span>products<span class="Delimiter">));</span>
  for <span class="Delimiter">(</span>long long int i = <span class="Constant">0</span><span class="Delimiter">;</span> i &lt; limit<span class="Delimiter">;</span> ++i<span class="Delimiter">)</span> <span class="Delimiter">{</span>
    const reagent&amp; exemplar_reagent = exemplar<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">);</span>
    reagent product = inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">);</span>
    assert<span class="Delimiter">(</span>product<span class="Delimiter">.</span>properties<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>second<span class="Delimiter">);</span>
    canonize_type<span class="Delimiter">(</span>product<span class="Delimiter">);</span>
    accumulate_type_ingredients<span class="Delimiter">(</span>exemplar_reagent<span class="Delimiter">,</span> product<span class="Delimiter">,</span> mappings<span class="Delimiter">,</span> exemplar<span class="Delimiter">,</span> inst<span class="Delimiter">,</span> caller_recipe<span class="Delimiter">,</span> error<span class="Delimiter">);</span>
  <span class="Delimiter">}</span>
<span class="Delimiter">}</span>

inline long long int min<span class="Delimiter">(</span>long long int a<span class="Delimiter">,</span> long long int b<span class="Delimiter">)</span> <span class="Delimiter">{</span>
  <span class="Identifier">return</span> <span class="Delimiter">(</span>a &lt; b<span class="Delimiter">)</span> ? a : b<span class="Delimiter">;</span>
<span class="Delimiter">}</span>

void accumulate_type_ingredients<span class="Delimiter">(</span>const reagent&amp; exemplar_reagent<span class="Delimiter">,</span> reagent&amp; refinement<span class="Delimiter">,</span> map&lt;string<span class="Delimiter">,</span> const string_tree*&gt;&amp; mappings<span class="Delimiter">,</span> const recipe&amp; exemplar<span class="Delimiter">,</span> const instruction&amp; call_instruction<span class="Delimiter">,</span> const recipe&amp; caller_recipe<span class="Delimiter">,</span> bool* error<span class="Delimiter">)</span> <span class="Delimiter">{</span>
  assert<span class="Delimiter">(</span>refinement<span class="Delimiter">.</span>properties<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>second<span class="Delimiter">);</span>
  accumulate_type_ingredients<span class="Delimiter">(</span>exemplar_reagent<span class="Delimiter">.</span>properties<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>second<span class="Delimiter">,</span> refinement<span class="Delimiter">.</span>properties<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>second<span class="Delimiter">,</span> mappings<span class="Delimiter">,</span> exemplar<span class="Delimiter">,</span> exemplar_reagent<span class="Delimiter">,</span> call_instruction<span class="Delimiter">,</span> caller_recipe<span class="Delimiter">,</span> error<span class="Delimiter">);</span>
<span class="Delimiter">}</span>

void accumulate_type_ingredients<span class="Delimiter">(</span>const string_tree* exemplar_type<span class="Delimiter">,</span> const string_tree* refinement_type<span class="Delimiter">,</span> map&lt;string<span class="Delimiter">,</span> const string_tree*&gt;&amp; mappings<span class="Delimiter">,</span> const recipe&amp; exemplar<span class="Delimiter">,</span> const reagent&amp; exemplar_reagent<span class="Delimiter">,</span> const instruction&amp; call_instruction<span class="Delimiter">,</span> const recipe&amp; caller_recipe<span class="Delimiter">,</span> bool* error<span class="Delimiter">)</span> <span class="Delimiter">{</span>
  if <span class="Delimiter">(</span>!exemplar_type<span class="Delimiter">)</span> <span class="Identifier">return</span><span class="Delimiter">;</span>
  if <span class="Delimiter">(</span>!refinement_type<span class="Delimiter">)</span> <span class="Delimiter">{</span>
    <span class="Comment">// todo: make this smarter; only warn if exemplar_type contains some *new* type ingredient</span>
    raise_error &lt;&lt; maybe<span class="Delimiter">(</span>exemplar<span class="Delimiter">.</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;missing type ingredient in &quot;</span> &lt;&lt; exemplar_reagent<span class="Delimiter">.</span>original_string &lt;&lt; <span class="cSpecial">'\n'</span> &lt;&lt; end<span class="Delimiter">();</span>
    <span class="Identifier">return</span><span class="Delimiter">;</span>
  <span class="Delimiter">}</span>
  if <span class="Delimiter">(</span>!exemplar_type<span class="Delimiter">-&gt;</span>value<span class="Delimiter">.</span>empty<span class="Delimiter">()</span> &amp;&amp; exemplar_type<span class="Delimiter">-&gt;</span>value<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">)</span> == <span class="Constant">'_'</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
    assert<span class="Delimiter">(</span>!refinement_type<span class="Delimiter">-&gt;</span>value<span class="Delimiter">.</span>empty<span class="Delimiter">());</span>
    if <span class="Delimiter">(</span>exemplar_type<span class="Delimiter">-&gt;</span>right<span class="Delimiter">)</span> <span class="Delimiter">{</span>
      raise_error &lt;&lt; <span class="Constant">&quot;type_ingredients in non-last position not currently supported</span><span class="cSpecial">\n</span><span class="Constant">&quot;</span> &lt;&lt; end<span class="Delimiter">();</span>
      <span class="Identifier">return</span><span class="Delimiter">;</span>
    <span class="Delimiter">}</span>
    if <span class="Delimiter">(</span>!contains_key<span class="Delimiter">(</span>mappings<span class="Delimiter">,</span> exemplar_type<span class="Delimiter">-&gt;</span>value<span class="Delimiter">))</span> <span class="Delimiter">{</span>
      trace<span class="Delimiter">(</span><span class="Constant">9993</span><span class="Delimiter">,</span> <span class="Constant">&quot;transform&quot;</span><span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;adding mapping from &quot;</span> &lt;&lt; exemplar_type<span class="Delimiter">-&gt;</span>value &lt;&lt; <span class="Constant">&quot; to &quot;</span> &lt;&lt; debug_string<span class="Delimiter">(</span>refinement_type<span class="Delimiter">)</span> &lt;&lt; end<span class="Delimiter">();</span>
      put<span class="Delimiter">(</span>mappings<span class="Delimiter">,</span> exemplar_type<span class="Delimiter">-&gt;</span>value<span class="Delimiter">,</span> new string_tree<span class="Delimiter">(</span>*refinement_type<span class="Delimiter">));</span>
    <span class="Delimiter">}</span>
    else <span class="Delimiter">{</span>
      if <span class="Delimiter">(</span>!deeply_equal_types<span class="Delimiter">(</span>get<span class="Delimiter">(</span>mappings<span class="Delimiter">,</span> exemplar_type<span class="Delimiter">-&gt;</span>value<span class="Delimiter">),</span> refinement_type<span class="Delimiter">))</span> <span class="Delimiter">{</span>
        raise_error &lt;&lt; maybe<span class="Delimiter">(</span>caller_recipe<span class="Delimiter">.</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;no call found for '&quot;</span> &lt;&lt; call_instruction<span class="Delimiter">.</span>to_string<span class="Delimiter">()</span> &lt;&lt; <span class="Constant">&quot;'</span><span class="cSpecial">\n</span><span class="Constant">&quot;</span> &lt;&lt; end<span class="Delimiter">();</span>
<span class="CommentedCode">//?         cerr &lt;&lt; exemplar_type-&gt;value &lt;&lt; &quot;: &quot; &lt;&lt; debug_string(get(mappings, exemplar_type-&gt;value)) &lt;&lt; &quot; vs &quot; &lt;&lt; debug_string(refinement_type) &lt;&lt; '\n';</span>
        *error = <span class="Constant">true</span><span class="Delimiter">;</span>
        <span class="Identifier">return</span><span class="Delimiter">;</span>
      <span class="Delimiter">}</span>
<span class="CommentedCode">//?       cerr &lt;&lt; exemplar_type-&gt;value &lt;&lt; &quot;: &quot; &lt;&lt; debug_string(get(mappings, exemplar_type-&gt;value)) &lt;&lt; &quot; &lt;= &quot; &lt;&lt; debug_string(refinement_type) &lt;&lt; '\n';</span>
      if <span class="Delimiter">(</span>get<span class="Delimiter">(</span>mappings<span class="Delimiter">,</span> exemplar_type<span class="Delimiter">-&gt;</span>value<span class="Delimiter">)-&gt;</span>value == <span class="Constant">&quot;literal&quot;</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
        delete get<span class="Delimiter">(</span>mappings<span class="Delimiter">,</span> exemplar_type<span class="Delimiter">-&gt;</span>value<span class="Delimiter">);</span>
        put<span class="Delimiter">(</span>mappings<span class="Delimiter">,</span> exemplar_type<span class="Delimiter">-&gt;</span>value<span class="Delimiter">,</span> new string_tree<span class="Delimiter">(</span>*refinement_type<span class="Delimiter">));</span>
      <span class="Delimiter">}</span>
    <span class="Delimiter">}</span>
  <span class="Delimiter">}</span>
  else <span class="Delimiter">{</span>
    accumulate_type_ingredients<span class="Delimiter">(</span>exemplar_type<span class="Delimiter">-&gt;</span>left<span class="Delimiter">,</span> refinement_type<span class="Delimiter">-&gt;</span>left<span class="Delimiter">,</span> mappings<span class="Delimiter">,</span> exemplar<span class="Delimiter">,</span> exemplar_reagent<span class="Delimiter">,</span> call_instruction<span class="Delimiter">,</span> caller_recipe<span class="Delimiter">,</span> error<span class="Delimiter">);</span>
  <span class="Delimiter">}</span>
  accumulate_type_ingredients<span class="Delimiter">(</span>exemplar_type<span class="Delimiter">-&gt;</span>right<span class="Delimiter">,</span> refinement_type<span class="Delimiter">-&gt;</span>right<span class="Delimiter">,</span> mappings<span class="Delimiter">,</span> exemplar<span class="Delimiter">,</span> exemplar_reagent<span class="Delimiter">,</span> call_instruction<span class="Delimiter">,</span> caller_recipe<span class="Delimiter">,</span> error<span class="Delimiter">);</span>
<span class="Delimiter">}</span>

void replace_type_ingredients<span class="Delimiter">(</span>recipe&amp; new_recipe<span class="Delimiter">,</span> const map&lt;string<span class="Delimiter">,</span> const string_tree*&gt;&amp; mappings<span class="Delimiter">)</span> <span class="Delimiter">{</span>
  <span class="Comment">// update its header</span>
  if <span class="Delimiter">(</span>mappings<span class="Delimiter">.</span>empty<span class="Delimiter">())</span> <span class="Identifier">return</span><span class="Delimiter">;</span>
  trace<span class="Delimiter">(</span><span class="Constant">9993</span><span class="Delimiter">,</span> <span class="Constant">&quot;transform&quot;</span><span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;replacing in recipe header ingredients&quot;</span> &lt;&lt; end<span class="Delimiter">();</span>
  for <span class="Delimiter">(</span>long long int i = <span class="Constant">0</span><span class="Delimiter">;</span> i &lt; SIZE<span class="Delimiter">(</span>new_recipe<span class="Delimiter">.</span>ingredients<span class="Delimiter">);</span> ++i<span class="Delimiter">)</span>
    replace_type_ingredients<span class="Delimiter">(</span>new_recipe<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">),</span> mappings<span class="Delimiter">,</span> new_recipe<span class="Delimiter">);</span>
  trace<span class="Delimiter">(</span><span class="Constant">9993</span><span class="Delimiter">,</span> <span class="Constant">&quot;transform&quot;</span><span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;replacing in recipe header products&quot;</span> &lt;&lt; end<span class="Delimiter">();</span>
  for <span class="Delimiter">(</span>long long int i = <span class="Constant">0</span><span class="Delimiter">;</span> i &lt; SIZE<span class="Delimiter">(</span>new_recipe<span class="Delimiter">.</span>products<span class="Delimiter">);</span> ++i<span class="Delimiter">)</span>
    replace_type_ingredients<span class="Delimiter">(</span>new_recipe<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">),</span> mappings<span class="Delimiter">,</span> new_recipe<span class="Delimiter">);</span>
  <span class="Comment">// update its body</span>
  for <span class="Delimiter">(</span>long long int i = <span class="Constant">0</span><span class="Delimiter">;</span> i &lt; SIZE<span class="Delimiter">(</span>new_recipe<span class="Delimiter">.</span>steps<span class="Delimiter">);</span> ++i<span class="Delimiter">)</span> <span class="Delimiter">{</span>
    instruction&amp; inst = new_recipe<span class="Delimiter">.</span>steps<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">);</span>
    trace<span class="Delimiter">(</span><span class="Constant">9993</span><span class="Delimiter">,</span> <span class="Constant">&quot;transform&quot;</span><span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;replacing in instruction '&quot;</span> &lt;&lt; inst<span class="Delimiter">.</span>to_string<span class="Delimiter">()</span> &lt;&lt; <span class="Constant">&quot;'&quot;</span> &lt;&lt; end<span class="Delimiter">();</span>
    for <span class="Delimiter">(</span>long long int j = <span class="Constant">0</span><span class="Delimiter">;</span> j &lt; SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">);</span> ++j<span class="Delimiter">)</span>
      replace_type_ingredients<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>j<span class="Delimiter">),</span> mappings<span class="Delimiter">,</span> new_recipe<span class="Delimiter">);</span>
    for <span class="Delimiter">(</span>long long int j = <span class="Constant">0</span><span class="Delimiter">;</span> j &lt; SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">);</span> ++j<span class="Delimiter">)</span>
      replace_type_ingredients<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span>j<span class="Delimiter">),</span> mappings<span class="Delimiter">,</span> new_recipe<span class="Delimiter">);</span>
    <span class="Comment">// special-case for new: replace type ingredient in first ingredient *value*</span>
    if <span class="Delimiter">(</span>inst<span class="Delimiter">.</span>name == <span class="Constant">&quot;new&quot;</span> &amp;&amp; inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>properties<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>second<span class="Delimiter">-&gt;</span>value != <span class="Constant">&quot;literal-string&quot;</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
      string_tree* type_name = parse_string_tree<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>name<span class="Delimiter">);</span>
      replace_type_ingredients<span class="Delimiter">(</span>type_name<span class="Delimiter">,</span> mappings<span class="Delimiter">);</span>
      inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>name = type_name<span class="Delimiter">-&gt;</span>to_string<span class="Delimiter">();</span>
      delete type_name<span class="Delimiter">;</span>
    <span class="Delimiter">}</span>
  <span class="Delimiter">}</span>
<span class="Delimiter">}</span>

void replace_type_ingredients<span class="Delimiter">(</span>reagent&amp; x<span class="Delimiter">,</span> const map&lt;string<span class="Delimiter">,</span> const string_tree*&gt;&amp; mappings<span class="Delimiter">,</span> const recipe&amp; caller<span class="Delimiter">)</span> <span class="Delimiter">{</span>
  trace<span class="Delimiter">(</span><span class="Constant">9993</span><span class="Delimiter">,</span> <span class="Constant">&quot;transform&quot;</span><span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;replacing in ingredient &quot;</span> &lt;&lt; x<span class="Delimiter">.</span>original_string &lt;&lt; end<span class="Delimiter">();</span>
  <span class="Comment">// replace properties</span>
  if <span class="Delimiter">(</span>!x<span class="Delimiter">.</span>properties<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>second<span class="Delimiter">)</span> <span class="Delimiter">{</span>
    raise_error &lt;&lt; <span class="Constant">&quot;specializing &quot;</span> &lt;&lt; caller<span class="Delimiter">.</span>original_name &lt;&lt; <span class="Constant">&quot;: missing type for &quot;</span> &lt;&lt; x<span class="Delimiter">.</span>original_string &lt;&lt; <span class="cSpecial">'\n'</span> &lt;&lt; end<span class="Delimiter">();</span>
    <span class="Identifier">return</span><span class="Delimiter">;</span>
  <span class="Delimiter">}</span>
  replace_type_ingredients<span class="Delimiter">(</span>x<span class="Delimiter">.</span>properties<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>second<span class="Delimiter">,</span> mappings<span class="Delimiter">);</span>
  <span class="Comment">// refresh types from properties</span>
  delete x<span class="Delimiter">.</span>type<span class="Delimiter">;</span>
  x<span class="Delimiter">.</span>type = new_type_tree<span class="Delimiter">(</span>x<span class="Delimiter">.</span>properties<span class="Delimiter">.</span>at<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">).</span>second<span class="Delimiter">);</span>
  if <span class="Delimiter">(</span>x<span class="Delimiter">.</span>type<span class="Delimiter">)</span>
    trace<span class="Delimiter">(</span><span class="Constant">9993</span><span class="Delimiter">,</span> <span class="Constant">&quot;transform&quot;</span><span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;  after: &quot;</span> &lt;&lt; debug_string<span class="Delimiter">(</span>x<span class="Delimiter">.</span>type<span class="Delimiter">)</span> &lt;&lt; end<span class="Delimiter">();</span>
<span class="Delimiter">}</span>

void replace_type_ingredients<span class="Delimiter">(</span>string_tree* type<span class="Delimiter">,</span> const map&lt;string<span class="Delimiter">,</span> const string_tree*&gt;&amp; mappings<span class="Delimiter">)</span> <span class="Delimiter">{</span>
  if <span class="Delimiter">(</span>!type<span class="Delimiter">)</span> <span class="Identifier">return</span><span class="Delimiter">;</span>
  if <span class="Delimiter">(</span>is_type_ingredient_name<span class="Delimiter">(</span>type<span class="Delimiter">-&gt;</span>value<span class="Delimiter">)</span> &amp;&amp; contains_key<span class="Delimiter">(</span>mappings<span class="Delimiter">,</span> type<span class="Delimiter">-&gt;</span>value<span class="Delimiter">))</span> <span class="Delimiter">{</span>
    const string_tree* replacement = get<span class="Delimiter">(</span>mappings<span class="Delimiter">,</span> type<span class="Delimiter">-&gt;</span>value<span class="Delimiter">);</span>
    trace<span class="Delimiter">(</span><span class="Constant">9993</span><span class="Delimiter">,</span> <span class="Constant">&quot;transform&quot;</span><span class="Delimiter">)</span> &lt;&lt; type<span class="Delimiter">-&gt;</span>value &lt;&lt; <span class="Constant">&quot; =&gt; &quot;</span> &lt;&lt; debug_string<span class="Delimiter">(</span>replacement<span class="Delimiter">)</span> &lt;&lt; end<span class="Delimiter">();</span>
    if <span class="Delimiter">(</span>replacement<span class="Delimiter">-&gt;</span>value == <span class="Constant">&quot;literal&quot;</span><span class="Delimiter">)</span>
      type<span class="Delimiter">-&gt;</span>value = <span class="Constant">&quot;number&quot;</span><span class="Delimiter">;</span>
    else
      type<span class="Delimiter">-&gt;</span>value = replacement<span class="Delimiter">-&gt;</span>value<span class="Delimiter">;</span>
    if <span class="Delimiter">(</span>replacement<span class="Delimiter">-&gt;</span>left<span class="Delimiter">)</span> type<span class="Delimiter">-&gt;</span>left = new string_tree<span class="Delimiter">(</span>*replacement<span class="Delimiter">-&gt;</span>left<span class="Delimiter">);</span>
    if <span class="Delimiter">(</span>replacement<span class="Delimiter">-&gt;</span>right<span class="Delimiter">)</span> type<span class="Delimiter">-&gt;</span>right = new string_tree<span class="Delimiter">(</span>*replacement<span class="Delimiter">-&gt;</span>right<span class="Delimiter">);</span>
  <span class="Delimiter">}</span>
  replace_type_ingredients<span class="Delimiter">(</span>type<span class="Delimiter">-&gt;</span>left<span class="Delimiter">,</span> mappings<span class="Delimiter">);</span>
  replace_type_ingredients<span class="Delimiter">(</span>type<span class="Delimiter">-&gt;</span>right<span class="Delimiter">,</span> mappings<span class="Delimiter">);</span>
<span class="Delimiter">}</span>

void ensure_all_concrete_types<span class="Delimiter">(</span><span class="Comment">/*</span><span class="Comment">const</span><span class="Comment">*/</span> recipe&amp; new_recipe<span class="Delimiter">,</span> const recipe&amp; exemplar<span class="Delimiter">)</span> <span class="Delimiter">{</span>
  for <span class="Delimiter">(</span>long long int i = <span class="Constant">0</span><span class="Delimiter">;</span> i &lt; SIZE<span class="Delimiter">(</span>new_recipe<span class="Delimiter">.</span>ingredients<span class="Delimiter">);</span> ++i<span class="Delimiter">)</span>
    ensure_all_concrete_types<span class="Delimiter">(</span>new_recipe<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">),</span> exemplar<span class="Delimiter">);</span>
  for <span class="Delimiter">(</span>long long int i = <span class="Constant">0</span><span class="Delimiter">;</span> i &lt; SIZE<span class="Delimiter">(</span>new_recipe<span class="Delimiter">.</span>products<span class="Delimiter">);</span> ++i<span class="Delimiter">)</span>
    ensure_all_concrete_types<span class="Delimiter">(</span>new_recipe<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">),</span> exemplar<span class="Delimiter">);</span>
  for <span class="Delimiter">(</span>long long int i = <span class="Constant">0</span><span class="Delimiter">;</span> i &lt; SIZE<span class="Delimiter">(</span>new_recipe<span class="Delimiter">.</span>steps<span class="Delimiter">);</span> ++i<span class="Delimiter">)</span> <span class="Delimiter">{</span>
    instruction&amp; inst = new_recipe<span class="Delimiter">.</span>steps<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">);</span>
    for <span class="Delimiter">(</span>long long int j = <span class="Constant">0</span><span class="Delimiter">;</span> j &lt; SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">);</span> ++j<span class="Delimiter">)</span>
      ensure_all_concrete_types<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>ingredients<span class="Delimiter">.</span>at<span class="Delimiter">(</span>j<span class="Delimiter">),</span> exemplar<span class="Delimiter">);</span>
    for <span class="Delimiter">(</span>long long int j = <span class="Constant">0</span><span class="Delimiter">;</span> j &lt; SIZE<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">);</span> ++j<span class="Delimiter">)</span>
      ensure_all_concrete_types<span class="Delimiter">(</span>inst<span class="Delimiter">.</span>products<span class="Delimiter">.</span>at<span class="Delimiter">(</span>j<span class="Delimiter">),</span> exemplar<span class="Delimiter">);</span>
  <span class="Delimiter">}</span>
<span class="Delimiter">}</span>

void ensure_all_concrete_types<span class="Delimiter">(</span><span class="Comment">/*</span><span class="Comment">const</span><span class="Comment">*/</span> reagent&amp; x<span class="Delimiter">,</span> const recipe&amp; exemplar<span class="Delimiter">)</span> <span class="Delimiter">{</span>
  if <span class="Delimiter">(</span>!x<span class="Delimiter">.</span>type<span class="Delimiter">)</span> <span class="Delimiter">{</span>
    raise_error &lt;&lt; maybe<span class="Delimiter">(</span>exemplar<span class="Delimiter">.</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;failed to map a type to &quot;</span> &lt;&lt; x<span class="Delimiter">.</span>original_string &lt;&lt; <span class="cSpecial">'\n'</span> &lt;&lt; end<span class="Delimiter">();</span>
    x<span class="Delimiter">.</span>type = new type_tree<span class="Delimiter">(</span><span class="Constant">0</span><span class="Delimiter">);</span>  <span class="Comment">// just to prevent crashes later</span>
    <span class="Identifier">return</span><span class="Delimiter">;</span>
  <span class="Delimiter">}</span>
  if <span class="Delimiter">(</span>x<span class="Delimiter">.</span>type<span class="Delimiter">-&gt;</span>value == -<span class="Constant">1</span><span class="Delimiter">)</span> <span class="Delimiter">{</span>
    raise_error &lt;&lt; maybe<span class="Delimiter">(</span>exemplar<span class="Delimiter">.</span>name<span class="Delimiter">)</span> &lt;&lt; <span class="Constant">&quot;failed to map a type to the unknown &quot;</span> &lt;&lt; x<span class="Delimiter">.</span>original_string &lt;&lt; <span class="cSpecial">'\n'</span> &lt;&lt; end<span class="Delimiter">();</span>
    <span class="Identifier">return</span><span class="Delimiter">;</span>
  <span class="Delimiter">}</span>
<span class="Delimiter">}</span>

long long int non_ghost_size<span class="Delimiter">(</span>vector&lt;recipe_ordinal&gt;&amp; variants<span class="Delimiter">)</span> <span class="Delimiter">{</span>
  long long int result = <span class="Constant">0</span><span class="Delimiter">;</span>
  for <span class="Delimiter">(</span>long long int i = <span class="Constant">0</span><span class="Delimiter">;</span> i &lt; SIZE<span class="Delimiter">(</span>variants<span class="Delimiter">);</span> ++i<span class="Delimiter">)</span>
    if <span class="Delimiter">(</span>variants<span class="Delimiter">.</span>at<span class="Delimiter">(</span>i<span class="Delimiter">)</span> != -<span class="Constant">1</span><span class="Delimiter">)</span> ++result<span class="Delimiter">;</span>
  <span class="Identifier">return</span> result<span class="Delimiter">;</span>
<span class="Delimiter">}</span>

<span class="Delimiter">:(scenario shape_shifting_recipe_2)</span>
recipe main [
  <span class="Constant">10</span>:point<span class="Special"> &lt;- </span>merge <span class="Constant">14</span><span class="Delimiter">,</span> <span class="Constant">15</span>
  <span class="Constant">11</span>:point<span class="Special"> &lt;- </span>foo <span class="Constant">10</span>:point
]
<span class="Comment"># non-matching shape-shifting variant</span>
recipe foo a:_t<span class="Delimiter">,</span> b:_t <span class="Delimiter">-&gt;</span> result:number [
  local-scope
  load-ingredients
  result<span class="Special"> &lt;- </span>copy <span class="Constant">34</span>
]
<span class="Comment"># matching shape-shifting variant</span>
recipe foo a:_t <span class="Delimiter">-&gt;</span> result:_t [
  local-scope
  load-ingredients
  result<span class="Special"> &lt;- </span>copy a
]
<span class="traceContains">+mem: storing 14 in location 11</span>
<span class="traceContains">+mem: storing 15 in location 12</span>

<span class="Delimiter">:(scenario shape_shifting_recipe_nonroot)</span>
recipe main [
  <span class="Constant">10</span>:foo:point<span class="Special"> &lt;- </span>merge <span class="Constant">14</span><span class="Delimiter">,</span> <span class="Constant">15</span><span class="Delimiter">,</span> <span class="Constant">16</span>
  <span class="Constant">20</span>:point/<span class="Special">raw &lt;- </span>bar <span class="Constant">10</span>:foo:point
]
<span class="Comment"># shape-shifting recipe with type ingredient following some other type</span>
recipe bar a:foo:_t <span class="Delimiter">-&gt;</span> result:_t [
  local-scope
  load-ingredients
  result<span class="Special"> &lt;- </span>get a<span class="Delimiter">,</span> x:offset
]
container foo:_t [
  x:_t
  y:number
]
<span class="traceContains">+mem: storing 14 in location 20</span>
<span class="traceContains">+mem: storing 15 in location 21</span>

<span class="Delimiter">:(scenario shape_shifting_recipe_type_deduction_ignores_offsets)</span>
recipe main [
  <span class="Constant">10</span>:foo:point<span class="Special"> &lt;- </span>merge <span class="Constant">14</span><span class="Delimiter">,</span> <span class="Constant">15</span><span class="Delimiter">,</span> <span class="Constant">16</span>
  <span class="Constant">20</span>:point/<span class="Special">raw &lt;- </span>bar <span class="Constant">10</span>:foo:point
]
recipe bar a:foo:_t <span class="Delimiter">-&gt;</span> result:_t [
  local-scope
  load-ingredients
  x:number<span class="Special"> &lt;- </span>copy <span class="Constant">1</span>
  result<span class="Special"> &lt;- </span>get a<span class="Delimiter">,</span> x:offset  <span class="Comment"># shouldn't collide with other variable</span>
]
container foo:_t [
  x:_t
  y:number
]
<span class="traceContains">+mem: storing 14 in location 20</span>
<span class="traceContains">+mem: storing 15 in location 21</span>

<span class="Delimiter">:(scenario shape_shifting_recipe_handles_shape_shifting_new_ingredient)</span>
recipe main [
  <span class="Constant">1</span>:address:foo:point<span class="Special"> &lt;- </span>bar <span class="Constant">3</span>
  <span class="Constant">11</span>:foo:point<span class="Special"> &lt;- </span>copy *<span class="Constant">1</span>:address:foo:point
]
container foo:_t [
  x:_t
  y:number
]
recipe bar x:number <span class="Delimiter">-&gt;</span> result:address:foo:_t [
  local-scope
  load-ingredients
  <span class="Comment"># new refers to _t in its ingredient *value*</span>
  result<span class="Special"> &lt;- </span>new <span class="Delimiter">{(</span>foo _t<span class="Delimiter">)</span> : type<span class="Delimiter">}</span>
]
<span class="traceContains">+mem: storing 0 in location 11</span>
<span class="traceContains">+mem: storing 0 in location 12</span>
<span class="traceContains">+mem: storing 0 in location 13</span>

<span class="Delimiter">:(scenario shape_shifting_recipe_handles_shape_shifting_new_ingredient_2)</span>
recipe main [
  <span class="Constant">1</span>:address:foo:point<span class="Special"> &lt;- </span>bar <span class="Constant">3</span>
  <span class="Constant">11</span>:foo:point<span class="Special"> &lt;- </span>copy *<span class="Constant">1</span>:address:foo:point
]
recipe bar x:number <span class="Delimiter">-&gt;</span> result:address:foo:_t [
  local-scope
  load-ingredients
  <span class="Comment"># new refers to _t in its ingredient *value*</span>
  result<span class="Special"> &lt;- </span>new <span class="Delimiter">{(</span>foo _t<span class="Delimiter">)</span> : type<span class="Delimiter">}</span>
]
<span class="Comment"># container defined after use</span>
container foo:_t [
  x:_t
  y:number
]
<span class="traceContains">+mem: storing 0 in location 11</span>
<span class="traceContains">+mem: storing 0 in location 12</span>
<span class="traceContains">+mem: storing 0 in location 13</span>

<span class="Delimiter">:(scenario shape_shifting_recipe_supports_compound_types)</span>
recipe main [
  <span class="Constant">1</span>:address:point<span class="Special"> &lt;- </span>new point:type
  <span class="Constant">2</span>:address:number<span class="Special"> &lt;- </span>get-address *<span class="Constant">1</span>:address:point<span class="Delimiter">,</span> y:offset
  *<span class="Constant">2</span>:address:number<span class="Special"> &lt;- </span>copy <span class="Constant">34</span>
  <span class="Constant">3</span>:address:point<span class="Special"> &lt;- </span>bar <span class="Constant">1</span>:address:point  <span class="Comment"># specialize _t to address:point</span>
  <span class="Constant">4</span>:point<span class="Special"> &lt;- </span>copy *<span class="Constant">3</span>:address:point
]
recipe bar a:_t <span class="Delimiter">-&gt;</span> result:_t [
  local-scope
  load-ingredients
  result<span class="Special"> &lt;- </span>copy a
]
<span class="traceContains">+mem: storing 34 in location 5</span>

<span class="Delimiter">:(scenario shape_shifting_recipe_error)</span>
<span class="Special">% Hide_errors = true;</span>
recipe main [
  a:number<span class="Special"> &lt;- </span>copy <span class="Constant">3</span>
  b:address:number<span class="Special"> &lt;- </span>foo a
]
recipe foo a:_t <span class="Delimiter">-&gt;</span> b:_t [
  load-ingredients
  b<span class="Special"> &lt;- </span>copy a
]
<span class="traceContains">+error: main: no call found for 'b:address:number &lt;- foo a'</span>

<span class="Delimiter">:(scenario specialize_inside_recipe_without_header)</span>
recipe main [
  foo <span class="Constant">3</span>
]
recipe foo [
  local-scope
  x:number<span class="Special"> &lt;- </span>next-ingredient  <span class="Comment"># ensure no header</span>
  <span class="Constant">1</span>:number/<span class="Special">raw &lt;- </span>bar x  <span class="Comment"># call a shape-shifting recipe</span>
]
recipe bar x:_elem <span class="Delimiter">-&gt;</span> y:_elem [
  local-scope
  load-ingredients
  y<span class="Special"> &lt;- </span>add x<span class="Delimiter">,</span> <span class="Constant">1</span>
]
<span class="traceContains">+mem: storing 4 in location 1</span>

<span class="Delimiter">:(scenario specialize_with_literal)</span>
recipe main [
  local-scope
  <span class="Comment"># permit literal to map to number</span>
  <span class="Constant">1</span>:number/<span class="Special">raw &lt;- </span>foo <span class="Constant">3</span>
]
recipe foo x:_elem <span class="Delimiter">-&gt;</span> y:_elem [
  local-scope
  load-ingredients
  y<span class="Special"> &lt;- </span>add x<span class="Delimiter">,</span> <span class="Constant">1</span>
]
<span class="traceContains">+mem: storing 4 in location 1</span>

<span class="Delimiter">:(scenario specialize_with_literal_2)</span>
recipe main [
  local-scope
  <span class="Comment"># permit literal to map to character</span>
  <span class="Constant">1</span>:character/<span class="Special">raw &lt;- </span>foo <span class="Constant">3</span>
]
recipe foo x:_elem <span class="Delimiter">-&gt;</span> y:_elem [
  local-scope
  load-ingredients
  y<span class="Special"> &lt;- </span>add x<span class="Delimiter">,</span> <span class="Constant">1</span>
]
<span class="traceContains">+mem: storing 4 in location 1</span>

<span class="Delimiter">:(scenario specialize_with_literal_3)</span>
<span class="Special">% Hide_errors = true;</span>
recipe main [
  local-scope
  <span class="Comment"># permit '0' to map to address to shape-shifting type-ingredient</span>
  <span class="Constant">1</span>:address:character/<span class="Special">raw &lt;- </span>foo <span class="Constant">0</span>
]
recipe foo x:address:_elem <span class="Delimiter">-&gt;</span> y:address:_elem [
  local-scope
  load-ingredients
  y<span class="Special"> &lt;- </span>copy x
]
<span class="traceContains">+mem: storing 0 in location 1</span>
$error: <span class="Constant">0</span>

<span class="Delimiter">:(scenario specialize_with_literal_4)</span>
<span class="Special">% Hide_errors = true;</span>
recipe main [
  local-scope
  <span class="Comment"># ambiguous call: what's the type of its ingredient?!</span>
  foo <span class="Constant">0</span>
]
recipe foo x:address:_elem <span class="Delimiter">-&gt;</span> y:address:_elem [
  local-scope
  load-ingredients
  y<span class="Special"> &lt;- </span>copy x
]
<span class="traceContains">+error: foo: failed to map a type to x</span>
<span class="traceContains">+error: foo: failed to map a type to y</span>

<span class="Delimiter">:(scenario specialize_with_literal_5)</span>
recipe main [
  foo <span class="Constant">3</span><span class="Delimiter">,</span> <span class="Constant">4</span>  <span class="Comment"># recipe mapping two variables to literals</span>
]
recipe foo x:_elem<span class="Delimiter">,</span> y:_elem [
  local-scope
  load-ingredients
  <span class="Constant">1</span>:number/<span class="Special">raw &lt;- </span>add x<span class="Delimiter">,</span> y
]
<span class="traceContains">+mem: storing 7 in location 1</span>

<span class="Delimiter">:(scenario multiple_shape_shifting_variants)</span>
<span class="Comment"># try to call two different shape-shifting recipes with the same name</span>
recipe main [
  e1:d1:number<span class="Special"> &lt;- </span>merge <span class="Constant">3</span>
  e2:d2:number<span class="Special"> &lt;- </span>merge <span class="Constant">4</span><span class="Delimiter">,</span> <span class="Constant">5</span>
  <span class="Constant">1</span>:number/<span class="Special">raw &lt;- </span>foo e1
  <span class="Constant">2</span>:number/<span class="Special">raw &lt;- </span>foo e2
]
<span class="Comment"># the two shape-shifting definitions</span>
recipe foo a:d1:_elem <span class="Delimiter">-&gt;</span> b:number [
  local-scope
  load-ingredients
  reply <span class="Constant">34</span>
]
recipe foo a:d2:_elem <span class="Delimiter">-&gt;</span> b:number [
  local-scope
  load-ingredients
  reply <span class="Constant">35</span>
]
<span class="Comment"># the shape-shifting containers they use</span>
container d1:_elem [
  x:_elem
]
container d2:_elem [
  x:number
  y:_elem
]
<span class="traceContains">+mem: storing 34 in location 1</span>
<span class="traceContains">+mem: storing 35 in location 2</span>

<span class="Delimiter">:(scenario multiple_shape_shifting_variants_2)</span>
<span class="Comment"># static dispatch between shape-shifting variants, _including pointer lookups_</span>
recipe main [
  e1:d1:number<span class="Special"> &lt;- </span>merge <span class="Constant">3</span>
  e2:address:d2:number<span class="Special"> &lt;- </span>new <span class="Delimiter">{(</span>d2 number<span class="Delimiter">)</span>: type<span class="Delimiter">}</span>
  <span class="Constant">1</span>:number/<span class="Special">raw &lt;- </span>foo e1
  <span class="Constant">2</span>:number/<span class="Special">raw &lt;- </span>foo *e2  <span class="Comment"># different from previous scenario</span>
]
recipe foo a:d1:_elem <span class="Delimiter">-&gt;</span> b:number [
  local-scope
  load-ingredients
  reply <span class="Constant">34</span>
]
recipe foo a:d2:_elem <span class="Delimiter">-&gt;</span> b:number [
  local-scope
  load-ingredients
  reply <span class="Constant">35</span>
]
container d1:_elem [
  x:_elem
]
container d2:_elem [
  x:number
  y:_elem
]
<span class="traceContains">+mem: storing 34 in location 1</span>
<span class="traceContains">+mem: storing 35 in location 2</span>

<span class="Delimiter">:(scenario missing_type_in_shape_shifting_recipe)</span>
<span class="Special">% Hide_errors = true;</span>
recipe main [
  a:d1:number<span class="Special"> &lt;- </span>merge <span class="Constant">3</span>
  foo a
]
recipe foo a:d1:_elem <span class="Delimiter">-&gt;</span> b:number [
  local-scope
  load-ingredients
  copy e  <span class="Comment"># no such variable</span>
  reply <span class="Constant">34</span>
]
container d1:_elem [
  x:_elem
]
<span class="traceContains">+error: foo: unknown type for e (check the name for typos)</span>
<span class="traceContains">+error: specializing foo: missing type for e</span>
<span class="Comment"># and it doesn't crash</span>

<span class="Delimiter">:(scenario missing_type_in_shape_shifting_recipe_2)</span>
<span class="Special">% Hide_errors = true;</span>
recipe main [
  a:d1:number<span class="Special"> &lt;- </span>merge <span class="Constant">3</span>
  foo a
]
recipe foo a:d1:_elem <span class="Delimiter">-&gt;</span> b:number [
  local-scope
  load-ingredients
  get e<span class="Delimiter">,</span> x:offset  <span class="Comment"># unknown variable in a 'get', which does some extra checking</span>
  reply <span class="Constant">34</span>
]
container d1:_elem [
  x:_elem
]
<span class="traceContains">+error: foo: unknown type for e (check the name for typos)</span>
<span class="traceContains">+error: specializing foo: missing type for e</span>
<span class="Comment"># and it doesn't crash</span>

<span class="Delimiter">:(scenarios transform)</span>
<span class="Delimiter">:(scenario specialize_recursive_shape_shifting_recipe)</span>
recipe main [
  <span class="Constant">1</span>:number<span class="Special"> &lt;- </span>copy <span class="Constant">34</span>
  <span class="Constant">2</span>:number<span class="Special"> &lt;- </span>foo <span class="Constant">1</span>:number
]
recipe foo x:_elem <span class="Delimiter">-&gt;</span> y:number [
  local-scope
  load-ingredients
  <span class="Delimiter">{</span>
    <span class="Identifier">break</span>
    y:number<span class="Special"> &lt;- </span>foo x
  <span class="Delimiter">}</span>
  reply y
]
<span class="traceContains">+transform: new specialization: foo_2</span>
<span class="Comment"># transform terminates</span>

<span class="Delimiter">:(scenarios run)</span>
<span class="Delimiter">:(scenario specialize_most_similar_variant)</span>
recipe main [
  <span class="Constant">1</span>:address:number<span class="Special"> &lt;- </span>new number:type
  <span class="Constant">2</span>:number<span class="Special"> &lt;- </span>foo <span class="Constant">1</span>:address:number
]
recipe foo x:_elem <span class="Delimiter">-&gt;</span> y:number [
  local-scope
  load-ingredients
  reply <span class="Constant">34</span>
]
recipe foo x:address:_elem <span class="Delimiter">-&gt;</span> y:number [
  local-scope
  load-ingredients
  reply <span class="Constant">35</span>
]
<span class="traceContains">+mem: storing 35 in location 2</span>
</pre>
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