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<!DOCTYPE html>
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<title>Altair incentives check</title>
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<meta property="og:description" content="Checking incentive soundness in Altair" />
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<div class="title">
Simulating validator rewards in Altair
</div>
<div class="sub-title">
</div>
</div>
<div id="toc-author-block">
<div id="authors"></div>
<div id="toc"></div>
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<div class="jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput " data-mime-type="text/markdown">
<h2 id="How-to-use">How to use<a class="anchor-link" href="#How-to-use">¶</a></h2><p>In this noteboook we test the rewards given out by the protocol to different types of validators. Our <code>fast</code> config reduces the size of most constants to avoid allocating more memory than necessary (we'll only test with a few validators). We also reduce the number of slots per epoch to speed things up. All these changes are without loss of generality.</p>
<p>You may test various spec versions by renaming either of the <code>specs_*.py</code> files in the <code>beaconrunner</code> folder to <code>specs.py</code>. Current version tested is v1.1.0-alpha.7.</p>
</div><div class="jp-Cell jp-CodeCell jp-Notebook-cell jp-mod-noOutputs ">
<details>
<summary>Open code input</summary>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">import</span> <span class="nn">os</span><span class="o">,</span> <span class="nn">sys</span>
<span class="n">sys</span><span class="o">.</span><span class="n">path</span><span class="o">.</span><span class="n">insert</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="n">os</span><span class="o">.</span><span class="n">path</span><span class="o">.</span><span class="n">realpath</span><span class="p">(</span><span class="n">os</span><span class="o">.</span><span class="n">path</span><span class="o">.</span><span class="n">pardir</span><span class="p">))</span>
<span class="n">sys</span><span class="o">.</span><span class="n">path</span><span class="o">.</span><span class="n">insert</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="n">os</span><span class="o">.</span><span class="n">path</span><span class="o">.</span><span class="n">realpath</span><span class="p">(</span><span class="n">os</span><span class="o">.</span><span class="n">path</span><span class="o">.</span><span class="n">pardir</span><span class="p">)</span> <span class="o">+</span> <span class="s2">"/beaconrunner"</span><span class="p">)</span>
<span class="kn">import</span> <span class="nn">beaconrunner</span> <span class="k">as</span> <span class="nn">br</span>
<span class="kn">import</span> <span class="nn">types</span>
<span class="kn">from</span> <span class="nn">eth2spec.utils.ssz.ssz_impl</span> <span class="kn">import</span> <span class="n">hash_tree_root</span>
<span class="kn">from</span> <span class="nn">cadCAD_tools.profiling.visualizations</span> <span class="kn">import</span> <span class="n">visualize_substep_impact</span>
<span class="kn">import</span> <span class="nn">pandas</span> <span class="k">as</span> <span class="nn">pd</span>
<span class="kn">import</span> <span class="nn">plotly.express</span> <span class="k">as</span> <span class="nn">px</span>
<span class="kn">import</span> <span class="nn">plotly.io</span> <span class="k">as</span> <span class="nn">pio</span>
<span class="n">pd</span><span class="o">.</span><span class="n">options</span><span class="o">.</span><span class="n">plotting</span><span class="o">.</span><span class="n">backend</span> <span class="o">=</span> <span class="s2">"plotly"</span>
<span class="n">pio</span><span class="o">.</span><span class="n">renderers</span><span class="o">.</span><span class="n">default</span> <span class="o">=</span> <span class="s2">"plotly_mimetype+notebook_connected"</span>
<span class="kn">import</span> <span class="nn">plotly.graph_objects</span> <span class="k">as</span> <span class="nn">go</span>
</pre></div>
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<p>Below are metrics extracted from the state of the simulation. We don't really care about most of them except for <code>get_current_validator_state</code>, but they are left here for future use/reference.</p>
</div><div class="jp-Cell jp-CodeCell jp-Notebook-cell jp-mod-noOutputs ">
<details>
<summary>Open code input</summary>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="k">def</span> <span class="nf">extract_state</span><span class="p">(</span><span class="n">s</span><span class="p">):</span>
<span class="n">validators</span> <span class="o">=</span> <span class="n">s</span><span class="p">[</span><span class="s2">"network"</span><span class="p">]</span><span class="o">.</span><span class="n">validators</span>
<span class="n">validator</span> <span class="o">=</span> <span class="n">validators</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span>
<span class="n">head</span> <span class="o">=</span> <span class="n">br</span><span class="o">.</span><span class="n">specs</span><span class="o">.</span><span class="n">get_head</span><span class="p">(</span><span class="n">validator</span><span class="o">.</span><span class="n">store</span><span class="p">)</span>
<span class="n">current_state</span> <span class="o">=</span> <span class="n">validator</span><span class="o">.</span><span class="n">store</span><span class="o">.</span><span class="n">block_states</span><span class="p">[</span><span class="n">head</span><span class="p">]</span><span class="o">.</span><span class="n">copy</span><span class="p">()</span>
<span class="k">return</span> <span class="n">current_state</span>
<span class="k">def</span> <span class="nf">current_slot</span><span class="p">(</span><span class="n">params</span><span class="p">,</span> <span class="n">step</span><span class="p">,</span> <span class="n">sL</span><span class="p">,</span> <span class="n">s</span><span class="p">,</span> <span class="n">_input</span><span class="p">):</span>
<span class="k">return</span> <span class="p">(</span><span class="s2">"current_slot"</span><span class="p">,</span> <span class="n">s</span><span class="p">[</span><span class="s2">"network"</span><span class="p">]</span><span class="o">.</span><span class="n">validators</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span><span class="o">.</span><span class="n">data</span><span class="o">.</span><span class="n">slot</span><span class="p">)</span>
<span class="k">def</span> <span class="nf">total_balance_asap</span><span class="p">(</span><span class="n">params</span><span class="p">,</span> <span class="n">step</span><span class="p">,</span> <span class="n">sL</span><span class="p">,</span> <span class="n">s</span><span class="p">,</span> <span class="n">_input</span><span class="p">):</span>
<span class="n">validators</span> <span class="o">=</span> <span class="n">s</span><span class="p">[</span><span class="s2">"network"</span><span class="p">]</span><span class="o">.</span><span class="n">validators</span>
<span class="n">current_state</span> <span class="o">=</span> <span class="n">extract_state</span><span class="p">(</span><span class="n">s</span><span class="p">)</span>
<span class="n">current_epoch</span> <span class="o">=</span> <span class="n">br</span><span class="o">.</span><span class="n">specs</span><span class="o">.</span><span class="n">get_current_epoch</span><span class="p">(</span><span class="n">current_state</span><span class="p">)</span>
<span class="n">asap_indices</span> <span class="o">=</span> <span class="p">[</span><span class="n">i</span> <span class="k">for</span> <span class="n">i</span><span class="p">,</span> <span class="n">v</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="n">validators</span><span class="p">)</span> <span class="k">if</span> <span class="n">v</span><span class="o">.</span><span class="n">validator_behaviour</span> <span class="o">==</span> <span class="s2">"asap"</span><span class="p">]</span>
<span class="n">asap_balances</span> <span class="o">=</span> <span class="p">[</span><span class="n">b</span> <span class="k">for</span> <span class="n">i</span><span class="p">,</span> <span class="n">b</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="n">current_state</span><span class="o">.</span><span class="n">balances</span><span class="p">)</span> <span class="k">if</span> <span class="n">i</span> <span class="ow">in</span> <span class="n">asap_indices</span><span class="p">]</span>
<span class="k">return</span> <span class="p">(</span><span class="s2">"total_balance_asap"</span><span class="p">,</span> <span class="nb">sum</span><span class="p">(</span><span class="n">asap_balances</span><span class="p">))</span>
<span class="k">def</span> <span class="nf">get_base_reward</span><span class="p">(</span><span class="n">params</span><span class="p">,</span> <span class="n">step</span><span class="p">,</span> <span class="n">sL</span><span class="p">,</span> <span class="n">s</span><span class="p">,</span> <span class="n">_input</span><span class="p">):</span>
<span class="n">current_state</span> <span class="o">=</span> <span class="n">extract_state</span><span class="p">(</span><span class="n">s</span><span class="p">)</span>
<span class="n">base_reward</span> <span class="o">=</span> <span class="n">br</span><span class="o">.</span><span class="n">specs</span><span class="o">.</span><span class="n">get_base_reward</span><span class="p">(</span><span class="n">current_state</span><span class="p">,</span> <span class="mi">0</span><span class="p">)</span>
<span class="k">return</span> <span class="p">(</span><span class="s2">"base_reward"</span><span class="p">,</span> <span class="n">base_reward</span><span class="p">)</span>
<span class="k">def</span> <span class="nf">get_block_proposer</span><span class="p">(</span><span class="n">params</span><span class="p">,</span> <span class="n">step</span><span class="p">,</span> <span class="n">sL</span><span class="p">,</span> <span class="n">s</span><span class="p">,</span> <span class="n">_input</span><span class="p">):</span>
<span class="n">current_state</span> <span class="o">=</span> <span class="n">extract_state</span><span class="p">(</span><span class="n">s</span><span class="p">)</span>
<span class="n">block_proposer</span> <span class="o">=</span> <span class="p">[</span><span class="n">v</span><span class="o">.</span><span class="n">validator_index</span> <span class="k">for</span> <span class="n">v</span> <span class="ow">in</span> <span class="n">s</span><span class="p">[</span><span class="s2">"network"</span><span class="p">]</span><span class="o">.</span><span class="n">validators</span> <span class="k">if</span> <span class="n">v</span><span class="o">.</span><span class="n">data</span><span class="o">.</span><span class="n">current_proposer_duties</span><span class="p">[</span><span class="n">s</span><span class="p">[</span><span class="s2">"current_slot"</span><span class="p">]</span> <span class="o">%</span> <span class="n">br</span><span class="o">.</span><span class="n">specs</span><span class="o">.</span><span class="n">SLOTS_PER_EPOCH</span><span class="p">]][</span><span class="mi">0</span><span class="p">]</span>
<span class="k">return</span> <span class="p">(</span><span class="s2">"block_proposer"</span><span class="p">,</span> <span class="n">block_proposer</span><span class="p">)</span>
<span class="k">def</span> <span class="nf">get_block_proposer_balance</span><span class="p">(</span><span class="n">params</span><span class="p">,</span> <span class="n">step</span><span class="p">,</span> <span class="n">sL</span><span class="p">,</span> <span class="n">s</span><span class="p">,</span> <span class="n">_input</span><span class="p">):</span>
<span class="n">current_state</span> <span class="o">=</span> <span class="n">extract_state</span><span class="p">(</span><span class="n">s</span><span class="p">)</span>
<span class="n">block_proposer_balance</span> <span class="o">=</span> <span class="n">current_state</span><span class="o">.</span><span class="n">balances</span><span class="p">[</span><span class="n">s</span><span class="p">[</span><span class="s2">"block_proposer"</span><span class="p">]]</span>
<span class="k">return</span> <span class="p">(</span><span class="s2">"block_proposer_balance"</span><span class="p">,</span> <span class="n">block_proposer_balance</span><span class="p">)</span>
<span class="k">def</span> <span class="nf">get_sync_committee</span><span class="p">(</span><span class="n">params</span><span class="p">,</span> <span class="n">step</span><span class="p">,</span> <span class="n">sL</span><span class="p">,</span> <span class="n">s</span><span class="p">,</span> <span class="n">_input</span><span class="p">):</span>
<span class="n">current_state</span> <span class="o">=</span> <span class="n">extract_state</span><span class="p">(</span><span class="n">s</span><span class="p">)</span>
<span class="n">current_epoch</span> <span class="o">=</span> <span class="n">br</span><span class="o">.</span><span class="n">specs</span><span class="o">.</span><span class="n">get_current_epoch</span><span class="p">(</span><span class="n">current_state</span><span class="p">)</span>
<span class="n">sync_committee</span> <span class="o">=</span> <span class="n">current_state</span><span class="o">.</span><span class="n">current_sync_committee</span><span class="o">.</span><span class="n">pubkeys</span>
<span class="n">val_pubkeys</span> <span class="o">=</span> <span class="p">[</span><span class="n">v</span><span class="o">.</span><span class="n">pubkey</span> <span class="k">for</span> <span class="n">v</span> <span class="ow">in</span> <span class="n">current_state</span><span class="o">.</span><span class="n">validators</span><span class="p">]</span>
<span class="n">sync_committee_indices</span> <span class="o">=</span> <span class="p">[</span><span class="n">val_pubkeys</span><span class="o">.</span><span class="n">index</span><span class="p">(</span><span class="n">pubkey</span><span class="p">)</span> <span class="k">for</span> <span class="n">pubkey</span> <span class="ow">in</span> <span class="n">sync_comittee</span><span class="p">]</span>
<span class="k">return</span> <span class="p">(</span><span class="s2">"sync_committee"</span><span class="p">,</span> <span class="n">sync_committee_indices</span><span class="p">)</span>
<span class="k">def</span> <span class="nf">get_head</span><span class="p">(</span><span class="n">params</span><span class="p">,</span> <span class="n">step</span><span class="p">,</span> <span class="n">sL</span><span class="p">,</span> <span class="n">s</span><span class="p">,</span> <span class="n">_input</span><span class="p">):</span>
<span class="n">validators</span> <span class="o">=</span> <span class="n">s</span><span class="p">[</span><span class="s2">"network"</span><span class="p">]</span><span class="o">.</span><span class="n">validators</span>
<span class="n">validator</span> <span class="o">=</span> <span class="n">validators</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span>
<span class="n">head</span> <span class="o">=</span> <span class="n">br</span><span class="o">.</span><span class="n">specs</span><span class="o">.</span><span class="n">get_head</span><span class="p">(</span><span class="n">validator</span><span class="o">.</span><span class="n">store</span><span class="p">)</span><span class="o">.</span><span class="n">hex</span><span class="p">()[</span><span class="mi">0</span><span class="p">:</span><span class="mi">6</span><span class="p">]</span>
<span class="k">return</span> <span class="p">(</span><span class="s2">"head"</span><span class="p">,</span> <span class="n">head</span><span class="p">)</span>
<span class="k">def</span> <span class="nf">get_current_validator_state</span><span class="p">(</span><span class="n">params</span><span class="p">,</span> <span class="n">step</span><span class="p">,</span> <span class="n">sL</span><span class="p">,</span> <span class="n">s</span><span class="p">,</span> <span class="n">_input</span><span class="p">):</span>
<span class="n">current_state</span> <span class="o">=</span> <span class="n">extract_state</span><span class="p">(</span><span class="n">s</span><span class="p">)</span>
<span class="n">current_validator_state</span> <span class="o">=</span> <span class="p">[]</span>
<span class="k">for</span> <span class="n">v</span> <span class="ow">in</span> <span class="n">s</span><span class="p">[</span><span class="s2">"network"</span><span class="p">]</span><span class="o">.</span><span class="n">validators</span><span class="p">:</span>
<span class="n">current_validator_state</span> <span class="o">+=</span> <span class="p">[{</span>
<span class="s2">"slot"</span><span class="p">:</span> <span class="n">v</span><span class="o">.</span><span class="n">data</span><span class="o">.</span><span class="n">slot</span><span class="p">,</span>
<span class="s2">"validator_index"</span><span class="p">:</span> <span class="n">v</span><span class="o">.</span><span class="n">validator_index</span><span class="p">,</span>
<span class="s2">"balance"</span><span class="p">:</span> <span class="n">current_state</span><span class="o">.</span><span class="n">balances</span><span class="p">[</span><span class="n">v</span><span class="o">.</span><span class="n">validator_index</span><span class="p">],</span>
<span class="s2">"block_proposer"</span><span class="p">:</span> <span class="mi">1</span> <span class="k">if</span> <span class="n">s</span><span class="p">[</span><span class="s2">"block_proposer"</span><span class="p">]</span> <span class="o">==</span> <span class="n">v</span><span class="o">.</span><span class="n">validator_index</span> <span class="k">else</span> <span class="mi">0</span><span class="p">,</span>
<span class="s2">"attester"</span><span class="p">:</span> <span class="mi">1</span> <span class="k">if</span> <span class="n">v</span><span class="o">.</span><span class="n">data</span><span class="o">.</span><span class="n">current_attest_slot</span> <span class="o">==</span> <span class="n">v</span><span class="o">.</span><span class="n">data</span><span class="o">.</span><span class="n">slot</span> <span class="k">else</span> <span class="mi">0</span><span class="p">,</span>
<span class="s2">"sync_committee"</span><span class="p">:</span> <span class="nb">len</span><span class="p">(</span><span class="n">v</span><span class="o">.</span><span class="n">data</span><span class="o">.</span><span class="n">current_sync_committee</span><span class="p">),</span>
<span class="p">}]</span>
<span class="k">return</span> <span class="p">(</span><span class="s2">"current_validator_state"</span><span class="p">,</span> <span class="n">current_validator_state</span><span class="p">)</span>
<span class="n">observers</span> <span class="o">=</span> <span class="p">{</span>
<span class="s2">"current_slot"</span><span class="p">:</span> <span class="n">current_slot</span><span class="p">,</span>
<span class="s2">"total_balance_asap"</span><span class="p">:</span> <span class="n">total_balance_asap</span><span class="p">,</span>
<span class="s2">"base_reward"</span><span class="p">:</span> <span class="n">get_base_reward</span><span class="p">,</span>
<span class="s2">"block_proposer"</span><span class="p">:</span> <span class="n">get_block_proposer</span><span class="p">,</span>
<span class="s2">"block_proposer_balance"</span><span class="p">:</span> <span class="n">get_block_proposer_balance</span><span class="p">,</span>
<span class="c1"># "sync_committee": get_sync_committee,</span>
<span class="s2">"head"</span><span class="p">:</span> <span class="n">get_head</span><span class="p">,</span>
<span class="s2">"current_validator_state"</span><span class="p">:</span> <span class="n">get_current_validator_state</span><span class="p">,</span>
<span class="p">}</span>
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<p>Run the simulation.</p>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">from</span> <span class="nn">random</span> <span class="kn">import</span> <span class="n">sample</span>
<span class="kn">from</span> <span class="nn">beaconrunner.validators.ASAPValidator</span> <span class="kn">import</span> <span class="n">ASAPValidator</span>
<span class="n">num_validators</span> <span class="o">=</span> <span class="mi">20</span>
<span class="c1"># Initiate validators</span>
<span class="n">validators</span> <span class="o">=</span> <span class="p">[]</span>
<span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="n">num_validators</span><span class="p">):</span>
<span class="n">new_validator</span> <span class="o">=</span> <span class="n">ASAPValidator</span><span class="p">(</span><span class="n">i</span><span class="p">)</span>
<span class="n">validators</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">new_validator</span><span class="p">)</span>
<span class="c1"># Create a genesis state</span>
<span class="p">(</span><span class="n">genesis_state</span><span class="p">,</span> <span class="n">genesis_block</span><span class="p">)</span> <span class="o">=</span> <span class="n">br</span><span class="o">.</span><span class="n">simulator</span><span class="o">.</span><span class="n">get_genesis_state_block</span><span class="p">(</span><span class="n">validators</span><span class="p">)</span>
<span class="c1"># Validators load the state</span>
<span class="p">[</span><span class="n">v</span><span class="o">.</span><span class="n">load_state</span><span class="p">(</span><span class="n">genesis_state</span><span class="o">.</span><span class="n">copy</span><span class="p">(),</span> <span class="n">genesis_block</span><span class="o">.</span><span class="n">copy</span><span class="p">())</span> <span class="k">for</span> <span class="n">v</span> <span class="ow">in</span> <span class="n">validators</span><span class="p">]</span>
<span class="c1"># We skip the genesis block</span>
<span class="n">br</span><span class="o">.</span><span class="n">simulator</span><span class="o">.</span><span class="n">skip_genesis_block</span><span class="p">(</span><span class="n">validators</span><span class="p">)</span>
<span class="c1"># print(genesis_state)</span>
<span class="c1"># Create the network</span>
<span class="n">set_a</span> <span class="o">=</span> <span class="n">br</span><span class="o">.</span><span class="n">network</span><span class="o">.</span><span class="n">NetworkSet</span><span class="p">(</span><span class="n">validators</span><span class="o">=</span><span class="nb">list</span><span class="p">(</span><span class="nb">range</span><span class="p">(</span><span class="n">num_validators</span><span class="p">)))</span>
<span class="n">network_sets</span> <span class="o">=</span> <span class="nb">list</span><span class="p">([</span><span class="n">set_a</span><span class="p">])</span>
<span class="n">network</span> <span class="o">=</span> <span class="n">br</span><span class="o">.</span><span class="n">network</span><span class="o">.</span><span class="n">Network</span><span class="p">(</span><span class="n">validators</span> <span class="o">=</span> <span class="n">validators</span><span class="p">,</span> <span class="n">sets</span> <span class="o">=</span> <span class="n">network_sets</span><span class="p">)</span>
<span class="c1"># Set simulation parameters</span>
<span class="n">parameters</span> <span class="o">=</span> <span class="n">br</span><span class="o">.</span><span class="n">simulator</span><span class="o">.</span><span class="n">SimulationParameters</span><span class="p">({</span>
<span class="s2">"num_epochs"</span><span class="p">:</span> <span class="mi">4</span><span class="p">,</span>
<span class="s2">"run_index"</span><span class="p">:</span> <span class="mi">1</span><span class="p">,</span>
<span class="s2">"frequency"</span><span class="p">:</span> <span class="mi">1</span><span class="p">,</span>
<span class="s2">"network_update_rate"</span><span class="p">:</span> <span class="mf">1.0</span><span class="p">,</span>
<span class="p">})</span>
<span class="n">df</span> <span class="o">=</span> <span class="n">br</span><span class="o">.</span><span class="n">simulator</span><span class="o">.</span><span class="n">simulate</span><span class="p">(</span><span class="n">network</span><span class="p">,</span> <span class="n">parameters</span><span class="p">,</span> <span class="n">observers</span><span class="p">)</span>
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<pre>INFO:root:Starting simulation 0 / run 0 / subset 0
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<pre>will simulate 4 epochs ( 16 slots ) at frequency 1 moves/second
total 192 simulation steps
19 proposing block for slot 1
6 proposing block for slot 2
7 proposing block for slot 3
14 proposing block for slot 4
9 proposing block for slot 5
10 proposing block for slot 6
0 proposing block for slot 7
10 proposing block for slot 8
13 proposing block for slot 9
timestep 100 of run 1
18 proposing block for slot 10
3 proposing block for slot 11
0 proposing block for slot 12
2 proposing block for slot 13
3 proposing block for slot 14
12 proposing block for slot 15
11 proposing block for slot 16
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">df</span> <span class="o">=</span> <span class="n">df</span><span class="o">.</span><span class="n">drop</span><span class="p">(</span><span class="n">columns</span><span class="o">=</span><span class="p">[</span><span class="s1">'network'</span><span class="p">])</span>
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<p>We collect the validator state data in a separate dataframe, of schema <code>(slot, validator_index, balance, block_proposer, attester, sync_committee)</code>. We ignore the first few epochs (rewards aren't given out, or imperfectly) and make sure the key <code>(slot, validator_index)</code> is unique.</p>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">df</span>
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<tr style="text-align: right;">
<th></th>
<th>current_slot</th>
<th>total_balance_asap</th>
<th>base_reward</th>
<th>block_proposer</th>
<th>block_proposer_balance</th>
<th>head</th>
<th>current_validator_state</th>
<th>run_time</th>
<th>simulation</th>
<th>subset</th>
<th>run</th>
<th>substep</th>
<th>timestep</th>
<th>substep_label</th>
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<tr>
<th>0</th>
<td>1</td>
<td>640000000000</td>
<td>2560000</td>
<td>19</td>
<td>32000000000</td>
<td>168f82</td>
<td>[{'slot': 1, 'validator_index': 0, 'balance': ...</td>
<td>0.000000e+00</td>
<td>0</td>
<td>0</td>
<td>1</td>
<td>0</td>
<td>0</td>
<td>Initial State</td>
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<th>1</th>
<td>1</td>
<td>640000000000</td>
<td>2560000</td>
<td>19</td>
<td>32000000000</td>
<td>168f82</td>
<td>[{'slot': 1, 'validator_index': 0, 'balance': ...</td>
<td>1.626053e+09</td>
<td>0</td>
<td>0</td>
<td>1</td>
<td>1</td>
<td>1</td>
<td>Initial measure runtime</td>
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<th>2</th>
<td>1</td>
<td>640000000000</td>
<td>2560000</td>
<td>19</td>
<td>32000000000</td>
<td>168f82</td>
<td>[{'slot': 1, 'validator_index': 0, 'balance': ...</td>
<td>1.626053e+09</td>
<td>0</td>
<td>0</td>
<td>1</td>
<td>2</td>
<td>1</td>
<td>Attestations</td>
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<th>3</th>
<td>1</td>
<td>640000000000</td>
<td>2560000</td>
<td>19</td>
<td>32000000000</td>
<td>168f82</td>
<td>[{'slot': 1, 'validator_index': 0, 'balance': ...</td>
<td>1.626053e+09</td>
<td>0</td>
<td>0</td>
<td>1</td>
<td>3</td>
<td>1</td>
<td>Measure runtime 0</td>
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<th>4</th>
<td>1</td>
<td>640000000000</td>
<td>2560000</td>
<td>19</td>
<td>32000000000</td>
<td>168f82</td>
<td>[{'slot': 1, 'validator_index': 0, 'balance': ...</td>
<td>1.626053e+09</td>
<td>0</td>
<td>0</td>
<td>1</td>
<td>4</td>
<td>1</td>
<td>Sync committee</td>
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<th>...</th>
<td>...</td>
<td>...</td>
<td>...</td>
<td>...</td>
<td>...</td>
<td>...</td>
<td>...</td>
<td>...</td>
<td>...</td>
<td>...</td>
<td>...</td>
<td>...</td>
<td>...</td>
<td>...</td>
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<th>1724</th>
<td>16</td>
<td>640132299955</td>
<td>2560000</td>
<td>11</td>
<td>32004319997</td>
<td>0aea1b</td>
<td>[{'slot': 16, 'validator_index': 0, 'balance':...</td>
<td>1.626053e+09</td>
<td>0</td>
<td>0</td>
<td>1</td>
<td>5</td>
<td>192</td>
<td>Measure runtime 1</td>
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<th>1725</th>
<td>16</td>
<td>640132299955</td>
<td>2560000</td>
<td>11</td>
<td>32004319997</td>
<td>0aea1b</td>
<td>[{'slot': 16, 'validator_index': 0, 'balance':...</td>
<td>1.626053e+09</td>
<td>0</td>
<td>0</td>
<td>1</td>
<td>6</td>
<td>192</td>
<td>Block proposals</td>
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<th>1726</th>
<td>16</td>
<td>640132299955</td>
<td>2560000</td>
<td>11</td>
<td>32004319997</td>
<td>0aea1b</td>
<td>[{'slot': 16, 'validator_index': 0, 'balance':...</td>
<td>1.626053e+09</td>
<td>0</td>
<td>0</td>
<td>1</td>
<td>7</td>
<td>192</td>
<td>Measure runtime 2</td>
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<th>1727</th>
<td>17</td>
<td>640132299955</td>
<td>2560000</td>
<td>11</td>
<td>32004319997</td>
<td>0aea1b</td>
<td>[{'slot': 17, 'validator_index': 0, 'balance':...</td>
<td>1.626053e+09</td>
<td>0</td>
<td>0</td>
<td>1</td>
<td>8</td>
<td>192</td>
<td>Simulation tick</td>
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<th>1728</th>
<td>17</td>
<td>640132299955</td>
<td>2560000</td>
<td>11</td>
<td>32004319997</td>
<td>0aea1b</td>
<td>[{'slot': 17, 'validator_index': 0, 'balance':...</td>
<td>1.626053e+09</td>
<td>0</td>
<td>0</td>
<td>1</td>
<td>9</td>
<td>192</td>
<td>Measure runtime 3</td>
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<p>1729 rows × 14 columns</p>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">visualize_substep_impact</span><span class="p">(</span><span class="n">df</span><span class="p">,</span> <span class="n">relative</span><span class="o">=</span><span class="kc">False</span><span class="p">)</span>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">import</span> <span class="nn">itertools</span>
<span class="kn">import</span> <span class="nn">pandas</span> <span class="k">as</span> <span class="nn">pd</span>
<span class="n">pd</span><span class="o">.</span><span class="n">set_option</span><span class="p">(</span><span class="s1">'display.max_rows'</span><span class="p">,</span> <span class="mi">100</span><span class="p">)</span>
<span class="n">validator_df</span> <span class="o">=</span> <span class="n">pd</span><span class="o">.</span><span class="n">DataFrame</span><span class="p">(</span>
<span class="n">itertools</span><span class="o">.</span><span class="n">chain</span><span class="p">(</span><span class="o">*</span><span class="n">df</span><span class="p">[((</span><span class="n">df</span><span class="o">.</span><span class="n">substep</span> <span class="o">==</span> <span class="mi">0</span><span class="p">)</span> <span class="o">|</span> <span class="p">(</span><span class="n">df</span><span class="o">.</span><span class="n">substep</span> <span class="o">==</span> <span class="nb">max</span><span class="p">(</span><span class="n">df</span><span class="o">.</span><span class="n">substep</span><span class="p">)))</span> <span class="o">&</span> <span class="p">(</span><span class="n">df</span><span class="o">.</span><span class="n">timestep</span> <span class="o">%</span> <span class="mi">12</span> <span class="o">==</span> <span class="mi">1</span><span class="p">)</span> <span class="o">&</span> <span class="p">(</span><span class="n">df</span><span class="o">.</span><span class="n">current_slot</span> <span class="o">></span> <span class="mi">11</span><span class="p">)][</span><span class="s2">"current_validator_state"</span><span class="p">]</span><span class="o">.</span><span class="n">iloc</span><span class="p">[:])</span>
<span class="p">)</span>
<span class="n">validator_df</span><span class="p">[</span><span class="s2">"previous_balance"</span><span class="p">]</span> <span class="o">=</span> <span class="n">validator_df</span><span class="o">.</span><span class="n">groupby</span><span class="p">([</span><span class="s2">"validator_index"</span><span class="p">])[[</span><span class="s2">"balance"</span><span class="p">]]</span><span class="o">.</span><span class="n">shift</span><span class="p">()</span>
<span class="n">validator_df</span><span class="p">[</span><span class="s2">"balance_diff"</span><span class="p">]</span> <span class="o">=</span> <span class="n">validator_df</span><span class="p">[</span><span class="s2">"balance"</span><span class="p">]</span> <span class="o">-</span> <span class="n">validator_df</span><span class="p">[</span><span class="s2">"previous_balance"</span><span class="p">]</span>
<span class="n">validator_df</span> <span class="o">=</span> <span class="n">validator_df</span><span class="p">[</span><span class="n">validator_df</span><span class="o">.</span><span class="n">slot</span> <span class="o">></span> <span class="mi">12</span><span class="p">]</span>
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<h2 id="Obtaining-rewards-per-duty">Obtaining rewards per duty<a class="anchor-link" href="#Obtaining-rewards-per-duty">¶</a></h2><p>We isolate validators who occupied a unique role over a slot to obtain the rewards for block proposers and sync committee members. When rewards are given out during the epoch transition, the minimum received by any validator is received by a validator who neither proposed a block for the whole epoch and was never part of the sync committee, giving us the attester reward received by one validator.</p>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">block_proposer_reward</span> <span class="o">=</span> <span class="n">validator_df</span><span class="p">[(</span><span class="n">validator_df</span><span class="o">.</span><span class="n">block_proposer</span> <span class="o">==</span> <span class="mi">1</span><span class="p">)</span> <span class="o">&</span> <span class="p">(</span><span class="n">validator_df</span><span class="o">.</span><span class="n">sync_committee</span> <span class="o">==</span> <span class="mi">0</span><span class="p">)]</span><span class="o">.</span><span class="n">iloc</span><span class="p">[</span><span class="mi">0</span><span class="p">][</span><span class="s2">"balance_diff"</span><span class="p">]</span>
<span class="nb">print</span><span class="p">(</span><span class="sa">f</span><span class="s2">"block proposer reward = </span><span class="si">{</span><span class="n">block_proposer_reward</span><span class="si">}</span><span class="s2">"</span><span class="p">)</span>
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<pre>block proposer reward = 1599997.0
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">attester_reward</span> <span class="o">=</span> <span class="nb">min</span><span class="p">(</span><span class="n">validator_df</span><span class="p">[</span><span class="n">validator_df</span><span class="o">.</span><span class="n">slot</span> <span class="o">%</span> <span class="n">br</span><span class="o">.</span><span class="n">specs</span><span class="o">.</span><span class="n">SLOTS_PER_EPOCH</span> <span class="o">==</span> <span class="mi">0</span><span class="p">][</span><span class="s2">"balance_diff"</span><span class="p">])</span>
<span class="nb">print</span><span class="p">(</span><span class="sa">f</span><span class="s2">"attester reward = </span><span class="si">{</span><span class="n">attester_reward</span><span class="si">}</span><span class="s2">"</span><span class="p">)</span>
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<pre>attester reward = 2160000.0
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">sync_committee_reward</span> <span class="o">=</span> <span class="n">validator_df</span><span class="p">[(</span><span class="n">validator_df</span><span class="o">.</span><span class="n">block_proposer</span> <span class="o">==</span> <span class="mi">0</span><span class="p">)</span> <span class="o">&</span> <span class="p">(</span><span class="n">validator_df</span><span class="o">.</span><span class="n">sync_committee</span> <span class="o">==</span> <span class="mi">1</span><span class="p">)]</span><span class="o">.</span><span class="n">iloc</span><span class="p">[</span><span class="mi">0</span><span class="p">][</span><span class="s2">"balance_diff"</span><span class="p">]</span>
<span class="nb">print</span><span class="p">(</span><span class="sa">f</span><span class="s2">"sync committee reward = </span><span class="si">{</span><span class="n">sync_committee_reward</span><span class="si">}</span><span class="s2">"</span><span class="p">)</span>
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<pre>sync committee reward = 100000.0
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<div class=" highlight hl-ipython3"><pre><span></span><span class="n">base_reward</span> <span class="o">=</span> <span class="n">df</span><span class="o">.</span><span class="n">iloc</span><span class="p">[</span><span class="mi">0</span><span class="p">][</span><span class="s2">"base_reward"</span><span class="p">]</span>
<span class="nb">print</span><span class="p">(</span><span class="sa">f</span><span class="s2">"base reward = </span><span class="si">{</span><span class="n">base_reward</span><span class="si">}</span><span class="s2">"</span><span class="p">)</span>
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