src/main/java/org/apache/datasketches/characterization/uniquecount/BaseAccuracyProfile.java [242:285]:
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    final double[] reducedSp = reduceSplitPoints(splitPoints);
    final double[] pmfArr = qSk.getPMF(reducedSp); //pmfArr is one larger
    final long trials = qSk.getN();
    final StringBuilder sb = new StringBuilder();

    //output Histogram
    final String hdr = String.format("%10s%4s%12s", "Trials", "    ", "Est");
    final String fmt = "%10d%4s%12.2f";
    sb.append("Histogram At " + q.trueValue).append(LS);
    sb.append(hdr).append(LS);
    for (int i = 0; i < reducedSp.length; i++) {
      final int hits = (int)(pmfArr[i + 1] * trials);
      final double est = reducedSp[i];
      final String line = String.format(fmt, hits, " >= ", est);
      sb.append(line).append(LS);
    }
    return sb.toString();
  }

  /**
   * This removes possible duplicate values in the given splitpoints array.
   * @param splitPoints the given splitPoints
   * @return the reduced array of splitPoints
   */
  private static double[] reduceSplitPoints(final double[] splitPoints) {
    int num = 1;
    double lastV = splitPoints[0];
    for (int i = 0; i < splitPoints.length; i++) {
      final double v = splitPoints[i];
      if (v <= lastV) { continue; } //duplicate
      num++;
      lastV = v;
    }
    lastV = splitPoints[0];
    int idx = 0;
    final double[] sp = new double[num];
    sp[0] = lastV;
    for (int i = 0; i < splitPoints.length; i++) {
      final double v = splitPoints[i];
      if (v <= lastV) { continue; }
      sp[++idx] = v;
      lastV = v;
    }
    return sp;
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src/main/java/org/apache/datasketches/characterization/uniquecount/BaseBoundsAccuracyProfile.java [232:275]:
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    final double[] reducedSp = reduceSplitPoints(splitPoints);
    final double[] pmfArr = qSk.getPMF(reducedSp); //pmfArr is one larger
    final long trials = qSk.getN();
    final StringBuilder sb = new StringBuilder();

    //output Histogram
    final String hdr = String.format("%10s%4s%12s", "Trials", "    ", "Est");
    final String fmt = "%10d%4s%12.2f";
    sb.append("Histogram At " + q.trueValue).append(LS);
    sb.append(hdr).append(LS);
    for (int i = 0; i < reducedSp.length; i++) {
      final int hits = (int)(pmfArr[i + 1] * trials);
      final double est = reducedSp[i];
      final String line = String.format(fmt, hits, " >= ", est);
      sb.append(line).append(LS);
    }
    return sb.toString();
  }

  /**
   *
   * @param splitPoints the given splitPoints
   * @return the reduced array of splitPoints
   */
  private static double[] reduceSplitPoints(final double[] splitPoints) {
    int num = 1;
    double lastV = splitPoints[0];
    for (int i = 0; i < splitPoints.length; i++) {
      final double v = splitPoints[i];
      if (v <= lastV) { continue; }
      num++;
      lastV = v;
    }
    lastV = splitPoints[0];
    int idx = 0;
    final double[] sp = new double[num];
    sp[0] = lastV;
    for (int i = 0; i < splitPoints.length; i++) {
      final double v = splitPoints[i];
      if (v <= lastV) { continue; }
      sp[++idx] = v;
      lastV = v;
    }
    return sp;
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