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diff --git a/.doctrees/environment.pickle b/.doctrees/environment.pickle
diff --git a/.doctrees/examples/howto_other_frameworks.doctree b/.doctrees/examples/howto_other_frameworks.doctree
diff --git a/.doctrees/examples/howto_use_aesara.doctree b/.doctrees/examples/howto_use_aesara.doctree
diff --git a/.doctrees/examples/howto_use_numpyro.doctree b/.doctrees/examples/howto_use_numpyro.doctree
diff --git a/.doctrees/examples/howto_use_oryx.doctree b/.doctrees/examples/howto_use_oryx.doctree
diff --git a/.doctrees/examples/howto_use_tfp.doctree b/.doctrees/examples/howto_use_tfp.doctree
diff --git a/.doctrees/examples/quickstart.doctree b/.doctrees/examples/quickstart.doctree
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diff --git a/_images/d87b9bdc3d0dda3af59b44113de01968c21c6ead54b1f00d8a18ba7e5143cca5.png b/_images/d87b9bdc3d0dda3af59b44113de01968c21c6ead54b1f00d8a18ba7e5143cca5.png
diff --git a/_images/fea2951b216c78e452f942c3d55fb27e43c844c77327bf7967d75e78c7be9f25.png b/_images/fea2951b216c78e452f942c3d55fb27e43c844c77327bf7967d75e78c7be9f25.png
diff --git a/examples/howto_other_frameworks.html b/examples/howto_other_frameworks.html
@@ -533,8 +533,8 @@ <h2>Use <code class="docutils literal notranslate"><span class="pre">jax.experim
 </div>
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-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>CPU times: user 3.72 s, sys: 0 ns, total: 3.72 s
-Wall time: 3.72 s
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>CPU times: user 6.81 s, sys: 8.05 ms, total: 6.82 s
+Wall time: 6.82 s
 </pre></div>
 </div>
 </div>
@@ -549,8 +549,8 @@ <h2>Use <code class="docutils literal notranslate"><span class="pre">jax.experim
 </div>
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-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>CPU times: user 13 s, sys: 152 ms, total: 13.2 s
-Wall time: 13.2 s
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>CPU times: user 22.2 s, sys: 172 ms, total: 22.4 s
+Wall time: 22.4 s
 </pre></div>
 </div>
 </div>

diff --git a/examples/howto_use_aesara.html b/examples/howto_use_aesara.html
@@ -608,7 +608,7 @@ <h1>Use with Aesara models<a class="headerlink" href="#use-with-aesara-models" t
                |Elemwise{sigmoid,no_inplace} [id FD]
 </pre></div>
 </div>
-<div class="output text_plain highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>&lt;ipykernel.iostream.OutStream at 0x7f6ec7b7f070&gt;
+<div class="output text_plain highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>&lt;ipykernel.iostream.OutStream at 0x7f48f7dbf580&gt;
 </pre></div>
 </div>
 </div>

diff --git a/examples/howto_use_numpyro.html b/examples/howto_use_numpyro.html
@@ -529,7 +529,7 @@ <h1>Use with Numpyro models<a class="headerlink" href="#use-with-numpyro-models"
 </div>
 </details>
 <div class="cell_output docutils container">
-<img alt="../_images/7a29922c5eec0544825afc78b5fbfd948718bc53e2e74a5abc38c18aad44822d.png" src="../_images/7a29922c5eec0544825afc78b5fbfd948718bc53e2e74a5abc38c18aad44822d.png" />
+<img alt="../_images/865bfff827f12b2b7cd8b5bc461ba61b0feebc4628f14aa94ec244c3ac6eeace.png" src="../_images/865bfff827f12b2b7cd8b5bc461ba61b0feebc4628f14aa94ec244c3ac6eeace.png" />
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@@ -555,7 +555,7 @@ <h1>Use with Numpyro models<a class="headerlink" href="#use-with-numpyro-models"
 </div>
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-<img alt="../_images/8254ffdbbdbe859947800576f849a0d43d76f05413c537e94de912c88e10a964.png" src="../_images/8254ffdbbdbe859947800576f849a0d43d76f05413c537e94de912c88e10a964.png" />
+<img alt="../_images/742c7d597e5190b2ffe84976158a3b46782c7c8ade604fb5a9e49290445ab933.png" src="../_images/742c7d597e5190b2ffe84976158a3b46782c7c8ade604fb5a9e49290445ab933.png" />
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diff --git a/examples/howto_use_oryx.html b/examples/howto_use_oryx.html
diff --git a/examples/howto_use_tfp.html b/examples/howto_use_tfp.html
@@ -532,7 +532,7 @@ <h1>Use with TFP models<a class="headerlink" href="#use-with-tfp-models" title="
 </div>
 </details>
 <div class="cell_output docutils container">
-<img alt="../_images/5c3c9e410f7a66bf53516201b6d62d78354fb8528c85f0cbf677ddd0d930a877.png" src="../_images/5c3c9e410f7a66bf53516201b6d62d78354fb8528c85f0cbf677ddd0d930a877.png" />
+<img alt="../_images/9f4a708e0a09fe4e705c3eb39f9d615c1abe5fce3916405221183793734a1998.png" src="../_images/9f4a708e0a09fe4e705c3eb39f9d615c1abe5fce3916405221183793734a1998.png" />
 </div>
 </div>
 </section>

diff --git a/examples/quickstart.html b/examples/quickstart.html
@@ -424,7 +424,7 @@ <h3>Set the Initial State<a class="headerlink" href="#set-the-initial-state" tit
 <div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>No GPU/TPU found, falling back to CPU. (Set TF_CPP_MIN_LOG_LEVEL=0 and rerun for more info.)
 </pre></div>
 </div>
-<div class="output text_plain highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>HMCState(position={&#39;loc&#39;: 1.0, &#39;log_scale&#39;: 1.0}, logdensity=Array(-35324.305, dtype=float32), logdensity_grad={&#39;loc&#39;: Array(1292.087, dtype=float32, weak_type=True), &#39;log_scale&#39;: Array(65810.734, dtype=float32, weak_type=True)})
+<div class="output text_plain highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>HMCState(position={&#39;loc&#39;: 1.0, &#39;log_scale&#39;: 1.0}, logdensity=Array(-37127.816, dtype=float32), logdensity_grad={&#39;loc&#39;: Array(1198.4751, dtype=float32, weak_type=True), &#39;log_scale&#39;: Array(69417.76, dtype=float32, weak_type=True)})
 </pre></div>
 </div>
 </div>
@@ -472,8 +472,8 @@ <h3>Inference<a class="headerlink" href="#inference" title="Permalink to this he
 </div>
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-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>CPU times: user 1.39 s, sys: 12.4 ms, total: 1.41 s
-Wall time: 1.41 s
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>CPU times: user 2.65 s, sys: 8.57 ms, total: 2.66 s
+Wall time: 2.66 s
 </pre></div>
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 </div>
@@ -501,7 +501,7 @@ <h3>Inference<a class="headerlink" href="#inference" title="Permalink to this he
 <div class="output text_plain highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Text(0, 0.5, &#39;scale&#39;)
 </pre></div>
 </div>
-<img alt="../_images/78e9e6b1ec47dc21f28c453877aa740380c7624be0f310f0ec05bc7a0645551f.png" src="../_images/78e9e6b1ec47dc21f28c453877aa740380c7624be0f310f0ec05bc7a0645551f.png" />
+<img alt="../_images/d87b9bdc3d0dda3af59b44113de01968c21c6ead54b1f00d8a18ba7e5143cca5.png" src="../_images/d87b9bdc3d0dda3af59b44113de01968c21c6ead54b1f00d8a18ba7e5143cca5.png" />
 </div>
 </div>
 </section>
@@ -528,7 +528,7 @@ <h2>NUTS<a class="headerlink" href="#nuts" title="Permalink to this heading">#</
 </div>
 </div>
 <div class="cell_output docutils container">
-<div class="output text_plain highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>HMCState(position={&#39;loc&#39;: 1.0, &#39;log_scale&#39;: 1.0}, logdensity=Array(-35324.305, dtype=float32), logdensity_grad={&#39;loc&#39;: Array(1292.087, dtype=float32, weak_type=True), &#39;log_scale&#39;: Array(65810.734, dtype=float32, weak_type=True)})
+<div class="output text_plain highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>HMCState(position={&#39;loc&#39;: 1.0, &#39;log_scale&#39;: 1.0}, logdensity=Array(-37127.816, dtype=float32), logdensity_grad={&#39;loc&#39;: Array(1198.4751, dtype=float32, weak_type=True), &#39;log_scale&#39;: Array(69417.76, dtype=float32, weak_type=True)})
 </pre></div>
 </div>
 </div>
@@ -545,8 +545,8 @@ <h2>NUTS<a class="headerlink" href="#nuts" title="Permalink to this heading">#</
 </div>
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 <div class="cell_output docutils container">
-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>CPU times: user 6.49 s, sys: 12.4 ms, total: 6.5 s
-Wall time: 6.5 s
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>CPU times: user 12.6 s, sys: 24.1 ms, total: 12.6 s
+Wall time: 12.6 s
 </pre></div>
 </div>
 </div>
@@ -574,7 +574,7 @@ <h2>NUTS<a class="headerlink" href="#nuts" title="Permalink to this heading">#</
 <div class="output text_plain highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Text(0, 0.5, &#39;scale&#39;)
 </pre></div>
 </div>
-<img alt="../_images/628feac5352bb48b4a92a6500620bd192c607e5f642a6fb6908d7aee0ec36d90.png" src="../_images/628feac5352bb48b4a92a6500620bd192c607e5f642a6fb6908d7aee0ec36d90.png" />
+<img alt="../_images/fea2951b216c78e452f942c3d55fb27e43c844c77327bf7967d75e78c7be9f25.png" src="../_images/fea2951b216c78e452f942c3d55fb27e43c844c77327bf7967d75e78c7be9f25.png" />
 </div>
 </div>
 <section id="use-stan-s-window-adaptation">
@@ -591,8 +591,8 @@ <h3>Use Stan’s Window Adaptation<a class="headerlink" href="#use-stan-s-window
 </div>
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-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>CPU times: user 2.09 s, sys: 20.2 ms, total: 2.11 s
-Wall time: 2.1 s
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>CPU times: user 3.4 s, sys: 20.2 ms, total: 3.42 s
+Wall time: 3.41 s
 </pre></div>
 </div>
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@@ -611,8 +611,8 @@ <h3>Use Stan’s Window Adaptation<a class="headerlink" href="#use-stan-s-window
 </div>
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-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>CPU times: user 1.62 s, sys: 8.2 ms, total: 1.63 s
-Wall time: 1.62 s
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>CPU times: user 2.82 s, sys: 16.2 ms, total: 2.83 s
+Wall time: 2.81 s
 </pre></div>
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 </div>
@@ -640,7 +640,7 @@ <h3>Use Stan’s Window Adaptation<a class="headerlink" href="#use-stan-s-window
 <div class="output text_plain highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Text(0, 0.5, &#39;scale&#39;)
 </pre></div>
 </div>
-<img alt="../_images/21c45a5df42d19e10e8df6eaf9035b725a2acac46cd69b42e28fe6abb9941c7a.png" src="../_images/21c45a5df42d19e10e8df6eaf9035b725a2acac46cd69b42e28fe6abb9941c7a.png" />
+<img alt="../_images/407552ef560648cca5c0349d84f0692bf9c9e504cbabd2e1cb38509e93c72d99.png" src="../_images/407552ef560648cca5c0349d84f0692bf9c9e504cbabd2e1cb38509e93c72d99.png" />
 </div>
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 </section>

diff --git a/objects.inv b/objects.inv