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‎404.html‎

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‎about/index.html‎

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‎assets/js/19c2369c.584ec82b.js‎

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‎assets/js/6e23be43.52305d8d.js‎

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‎assets/js/7682cc97.92f525a3.js‎

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‎assets/js/runtime~main.99aa8c34.js‎

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‎compute-engine/api/index.html‎

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‎compute-engine/changelog/index.html‎

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</li>
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</ul><h3 class="anchor anchorTargetStickyNavbar_Vzrq" id="bug-fixes">Bug Fixes<a href="#bug-fixes" class="hash-link" aria-label="Direct link to Bug Fixes" title="Direct link to Bug Fixes" translate="no">​</a></h3><ul>
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<li class="">
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<p><strong>(<a href="https://github.com/cortex-js/compute-engine/issues/176" target="_blank" rel="noopener noreferrer" class="">#176</a>) Power
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Combination Simplification</strong>: Fixed simplification failing to combine powers
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with the same base when one factor has an implicit exponent or when there are
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3+ operands. Previously, expressions like <code>2 * 2^x</code>, <code>e * e^x * e^{-x}</code>, and
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<code>x^2 * x</code> would not simplify. Now correctly simplifies to <code>2^(x+1)</code>, <code>e</code>, and
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<code>x^3</code> respectively. The fix includes:</p>
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<ul>
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<li class="">Extended power combination rules to support numeric literal bases</li>
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<li class="">Added functional rule to handle n-ary Multiply expressions (3+ operands)</li>
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<li class="">Adjusted simplification cost threshold from 1.2 to 1.3 to accept
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mathematically valid simplifications where exponents become slightly more
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complex (e.g., <code>2 * 2^x → 2^(x+1)</code>)</li>
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</ul>
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</li>
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<li class="">
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<p><strong>Matrix Operations Type Validation</strong>: Fixed matrix operations (<code>Shape</code>, <code>Rank</code>,
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<code>Flatten</code>, <code>Transpose</code>, <code>Determinant</code>, <code>Inverse</code>, <code>Trace</code>, etc.) returning
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incorrect results or failing with type errors. The root cause was a type

‎compute-engine/demo/index.html‎

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<div class="flex flex-col items-center"><div class="example-cells"><div class="example-cell active">$$\frac{165}{315}$$</div><div class="example-cell">$$e^{i\pi}$$</div><div class="example-cell">$$\sqrt{6\sum_{n=1}^{\infty} \frac{1}{n^2}}$$</div><div class="example-cell">$$2\prod_{n=1}^{\infty} \frac{4n^2}{4n^2-1}$$</div><div class="example-cell">$$\sum_{n=1}^{b} n^2$$</div><div class="example-cell">$$\prod_{n=1}^{b} n$$</div><div class="example-cell">$$\mathrm{Expand}((a+b)^5)$$</div><div class="example-cell">Rational</div><div class="example-cell">$$\cos\left(\frac{\pi}{6}\right)$$</div><div class="example-cell">$$\sin(30\degree)$$</div><div class="example-cell">Piecewise</div><div class="example-cell">$$\lfloor \pi \rfloor = \lceil \exponentialE \rceil$$</div><div class="example-cell">Errors</div></div><code-playground></code-playground></div></div><footer class="theme-doc-footer docusaurus-mt-lg"><div class="theme-doc-footer-edit-meta-row row"><div class="col"></div><div class="col lastUpdated_VsjB"></div></div></footer></article><nav class="docusaurus-mt-lg pagination-nav" aria-label="Docs pages"><a class="pagination-nav__link pagination-nav__link--prev" href="/compute-engine/"><div class="pagination-nav__sublabel">Previous</div><div class="pagination-nav__label">Introduction</div></a><a class="pagination-nav__link pagination-nav__link--next" href="/compute-engine/changelog/"><div class="pagination-nav__sublabel">Next</div><div class="pagination-nav__label">Changelog</div></a></nav></div></div></div></div></main></div></div></div><div class="shared-footer"><footer class="theme-layout-footer footer footer--dark"><div class="container container-fluid"><div class="row footer__links"><div class="theme-layout-footer-column col footer__col"><div class="footer__title">SDKs</div><ul class="footer__items clean-list"><li class="footer__item"><a class="footer__link-item" href="/mathfield/">Mathfield</a></li><li class="footer__item"><a class="footer__link-item" href="/compute-engine/">Compute Engine</a></li><li class="footer__item"><a class="footer__link-item" href="/math-json/">MathJSON</a></li></ul></div><div class="theme-layout-footer-column col footer__col"><div class="footer__title">Community</div><ul class="footer__items clean-list"><li class="footer__item"><a href="https://github.com/cortex-js" target="_blank" rel="noopener noreferrer" class="footer__link-item">
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<div class="flex flex-col items-center"><div class="example-cells"><div class="example-cell active">$$\frac{165}{315}$$</div><div class="example-cell">$$e^{i\pi}$$</div><div class="example-cell">$$\sqrt{6\sum_{n=1}^{\infty} \frac{1}{n^2}}$$</div><div class="example-cell">$$2\prod_{n=1}^{\infty} \frac{4n^2}{4n^2-1}$$</div><div class="example-cell">$$\sum_{n=1}^{b} n^2$$</div><div class="example-cell">$$\prod_{n=1}^{b} n$$</div><div class="example-cell">$$\mathrm{Expand}((a+b)^5)$$</div><div class="example-cell">Rational</div><div class="example-cell">$$\cos\left(\frac{\pi}{6}\right)$$</div><div class="example-cell">$$\sin(30\degree)$$</div><div class="example-cell">$$(1,2,3)+(3,5,6)$$</div><div class="example-cell">Matrix Multiply</div><div class="example-cell">Piecewise</div><div class="example-cell">$$\lfloor \pi \rfloor = \lceil \exponentialE \rceil$$</div><div class="example-cell">Errors</div></div><code-playground></code-playground></div></div><footer class="theme-doc-footer docusaurus-mt-lg"><div class="theme-doc-footer-edit-meta-row row"><div class="col"></div><div class="col lastUpdated_VsjB"></div></div></footer></article><nav class="docusaurus-mt-lg pagination-nav" aria-label="Docs pages"><a class="pagination-nav__link pagination-nav__link--prev" href="/compute-engine/"><div class="pagination-nav__sublabel">Previous</div><div class="pagination-nav__label">Introduction</div></a><a class="pagination-nav__link pagination-nav__link--next" href="/compute-engine/changelog/"><div class="pagination-nav__sublabel">Next</div><div class="pagination-nav__label">Changelog</div></a></nav></div></div></div></div></main></div></div></div><div class="shared-footer"><footer class="theme-layout-footer footer footer--dark"><div class="container container-fluid"><div class="row footer__links"><div class="theme-layout-footer-column col footer__col"><div class="footer__title">SDKs</div><ul class="footer__items clean-list"><li class="footer__item"><a class="footer__link-item" href="/mathfield/">Mathfield</a></li><li class="footer__item"><a class="footer__link-item" href="/compute-engine/">Compute Engine</a></li><li class="footer__item"><a class="footer__link-item" href="/math-json/">MathJSON</a></li></ul></div><div class="theme-layout-footer-column col footer__col"><div class="footer__title">Community</div><ul class="footer__items clean-list"><li class="footer__item"><a href="https://github.com/cortex-js" target="_blank" rel="noopener noreferrer" class="footer__link-item">
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GitHub
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<svg width="13.5" height="13.5" aria-hidden="true" viewBox="0 0 24 24" class="iconExternalLink_nPIU"><path fill="currentColor" d="M21 13v10h-21v-19h12v2h-10v15h17v-8h2zm3-12h-10.988l4.035 4-6.977 7.07 2.828 2.828 6.977-7.07 4.125 4.172v-11z"></path></svg>

‎compute-engine/guides/assumptions/index.html‎

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