<?xml version="1.0" encoding="UTF-8"?>
<simulation xmds-version="2">
  <name>exponential_scaling_8thOrder</name>
  
  <author>Sean Wild</author>
  <description>
    Calculates the error scaling behaviour of the 8th order Richardson Extrapolation
    integrator (using the Modified Midpoint) stepper for 1 to 500 steps.
  </description>
  
  <testing>
    <xsil_file name="exponential_scaling_8thOrder.xsil" expected="exponential_scaling_8thOrder_expected.xsil" absolute_tolerance="1e-7" relative_tolerance="1e-5">
      <moment_group number="1" absolute_tolerance="1e-7" relative_tolerance="1e-6" />
    </xsil_file>
  </testing>
   
  <geometry>
    <propagation_dimension> x </propagation_dimension>
  </geometry>
  
  <vector name="position" type="real">
    <components>
      y
    </components>
    <initialisation>
      <![CDATA[
      y = 1.0;
      ]]>
    </initialisation>
  </vector>
  
  <vector name="step_count" type="real">
    <components>
      steps
    </components>
    <initialisation>
      <![CDATA[
      steps = 1.0;
      ]]>
    </initialisation>
  </vector>
  
  <computed_vector name="position_error" type="real">
    <components>
      err_y
    </components>
    <evaluation>
      <dependencies>position</dependencies>
      <![CDATA[
      err_y  = exp(5) - y;
      ]]>
    </evaluation>
  </computed_vector>
  
  <sequence>

    <integrate algorithm="REMM" interval="5.0" steps="1" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="2" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="3" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="4" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="5" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="6" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="7" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="8" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="9" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="10" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="11" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="12" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="13" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="14" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="15" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="16" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="17" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="18" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="19" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="20" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="21" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="22" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="23" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="24" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="25" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="26" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="27" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="28" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="29" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="30" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="31" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="32" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="33" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="34" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="35" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="36" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="37" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="38" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="39" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="40" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="41" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="42" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="43" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="44" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="45" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="46" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="47" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="48" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="49" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="50" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="51" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="52" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="54" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
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          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="82" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="83" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="84" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="85" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="86" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="87" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="88" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="90" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        steps = steps + 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
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        <samples>1</samples>
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          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
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      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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        <samples>1</samples>
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          <![CDATA[
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      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
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      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
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      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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        <samples>1</samples>
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          <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
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      <dependencies>position step_count</dependencies>
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        <samples>1</samples>
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          <![CDATA[
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      <dependencies>position step_count</dependencies>
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        <samples>1</samples>
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          <![CDATA[
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        <samples>1</samples>
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      <dependencies>position step_count</dependencies>
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        <samples>1</samples>
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      <dependencies>position step_count</dependencies>
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        <samples>1</samples>
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      <dependencies>position step_count</dependencies>
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        <samples>1</samples>
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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          <![CDATA[
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        <samples>1</samples>
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        <samples>1</samples>
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          <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="219" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
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        <samples>1</samples>
        <operators>
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          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
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          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
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          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="274" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="275" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="276" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="277" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="278" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="279" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="280" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="281" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="283" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="284" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
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        steps = steps + 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="291" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="293" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="294" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="295" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="298" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="299" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="300" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="301" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="303" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="304" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="306" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="329" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="330" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="331" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="332" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="333" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="334" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="335" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="336" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="337" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="338" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="339" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="340" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="341" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="343" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="346" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="348" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="349" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="350" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="351" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="352" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="353" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="354" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="355" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="356" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="357" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="358" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="359" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="360" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="361" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="362" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="363" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="364" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="365" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="366" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="367" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="369" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="370" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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    <integrate algorithm="REMM" interval="5.0" steps="371" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
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        <samples>1</samples>
        <operators>
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          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
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        <samples>1</samples>
        <operators>
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          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
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        <samples>1</samples>
        <operators>
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          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
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          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
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          <![CDATA[
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
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          <![CDATA[
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
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          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
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          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
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          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
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    <integrate algorithm="REMM" interval="5.0" steps="410" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
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    <integrate algorithm="REMM" interval="5.0" steps="417" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
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        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
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      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
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        <samples>1</samples>
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          <![CDATA[
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        <samples>1</samples>
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          <![CDATA[
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    <integrate algorithm="REMM" interval="5.0" steps="494" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="495" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="496" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="497" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="498" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="499" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    <filter>
      <dependencies>position step_count</dependencies>
      <![CDATA[
        y = 1.0;
        steps = steps + 1.0;
      ]]>
    </filter>
    <integrate algorithm="REMM" interval="5.0" steps="500" extrapolations="4">
        <samples>1</samples>
        <operators>
          <integration_vectors>position</integration_vectors>
          <![CDATA[
          dy_dx = y;
          ]]>
        </operators>
    </integrate>
    
  </sequence>
  
  <!-- This part defines what data will be saved in the output file -->
  <output format="ascii">
    <sampling_group initial_sample="no">
      <moments>stepsR err_yR</moments>
      <dependencies>step_count position_error</dependencies>
      <![CDATA[
        stepsR = steps;
        err_yR = err_y;
      ]]>
    </sampling_group>
  </output>
</simulation>
