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      <base href="https://bugs.llvm.org/">
    </head>
    <body><table border="1" cellspacing="0" cellpadding="8">
        <tr>
          <th>Bug ID</th>
          <td><a class="bz_bug_link 
          bz_status_NEW "
   title="NEW - Missed optimization in math expression: sin^2(a) + cos^2(a) == 1"
   href="https://bugs.llvm.org/show_bug.cgi?id=35598">35598</a>
          </td>
        </tr>

        <tr>
          <th>Summary</th>
          <td>Missed optimization in math expression: sin^2(a) + cos^2(a) == 1
          </td>
        </tr>

        <tr>
          <th>Product</th>
          <td>libraries
          </td>
        </tr>

        <tr>
          <th>Version</th>
          <td>trunk
          </td>
        </tr>

        <tr>
          <th>Hardware</th>
          <td>PC
          </td>
        </tr>

        <tr>
          <th>OS</th>
          <td>All
          </td>
        </tr>

        <tr>
          <th>Status</th>
          <td>NEW
          </td>
        </tr>

        <tr>
          <th>Severity</th>
          <td>enhancement
          </td>
        </tr>

        <tr>
          <th>Priority</th>
          <td>P
          </td>
        </tr>

        <tr>
          <th>Component</th>
          <td>Common Code Generator Code
          </td>
        </tr>

        <tr>
          <th>Assignee</th>
          <td>unassignedbugs@nondot.org
          </td>
        </tr>

        <tr>
          <th>Reporter</th>
          <td>zamazan4ik@tut.by
          </td>
        </tr>

        <tr>
          <th>CC</th>
          <td>llvm-bugs@lists.llvm.org
          </td>
        </tr></table>
      <p>
        <div>
        <pre>clang(trunk) with '--std=c++17 -O3 -march=native -ffast-math' flags for this
code:


#include <cmath>

double test(double a)
{
    return cos(a) * cos(a) + sin(a) * sin(a);
}


generates this assembly:


test(double): # @test(double)
  sub rsp, 24
  lea rdi, [rsp + 16]
  lea rsi, [rsp + 8]
  call sincos
  vmovsd xmm1, qword ptr [rsp + 8] # xmm1 = mem[0],zero
  vmovsd xmm0, qword ptr [rsp + 16] # xmm0 = mem[0],zero
  vmulsd xmm0, xmm0, xmm0
  vfmadd231sd xmm0, xmm1, xmm1
  add rsp, 24
  ret


But there is formula: sin^2(a) + cos^2(a) == 1. And it can be compiled in
faster way.</pre>
        </div>
      </p>


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