int nReg;                     /* Number of registers to allocate */
  char *zAff;                   /* Affinity string to return */

  /* This module is only called on query plans that use an index. */
  pLoop = pLevel->pWLoop;
  assert( (pLoop->wsFlags & WHERE_VIRTUALTABLE)==0 );
  nEq = pLoop->u.btree.nEq;
  nSkip = pLoop->u.btree.nSkip;
  pIdx = pLoop->u.btree.pIndex;
  assert( pIdx!=0 );

  /* Figure out how many memory cells we will need then allocate them.
  */
  regBase = pParse->nMem + 1;
  nReg = pLoop->u.btree.nEq + nExtraReg;
................................................................................
** string similar to:
**
**   "a=? AND b>?"
*/
static void explainIndexRange(StrAccum *pStr, WhereLoop *pLoop, Table *pTab){
  Index *pIndex = pLoop->u.btree.pIndex;
  u16 nEq = pLoop->u.btree.nEq;
  u16 nSkip = pLoop->u.btree.nSkip;
  int i, j;
  Column *aCol = pTab->aCol;
  i16 *aiColumn = pIndex->aiColumn;

  if( nEq==0 && (pLoop->wsFlags&(WHERE_BTM_LIMIT|WHERE_TOP_LIMIT))==0 ) return;
  sqlite3StrAccumAppend(pStr, " (", 2);
  for(i=0; i<nEq; i++){
................................................................................
    char *zStartAff;             /* Affinity for start of range constraint */
    char cEndAff = 0;            /* Affinity for end of range constraint */
    u8 bSeekPastNull = 0;        /* True to seek past initial nulls */
    u8 bStopAtNull = 0;          /* Add condition to terminate at NULLs */

    pIdx = pLoop->u.btree.pIndex;
    iIdxCur = pLevel->iIdxCur;
    assert( nEq>=pLoop->u.btree.nSkip );

    /* If this loop satisfies a sort order (pOrderBy) request that 
    ** was passed to this function to implement a "SELECT min(x) ..." 
    ** query, then the caller will only allow the loop to run for
    ** a single iteration. This means that the first row returned
    ** should not have a NULL value stored in 'x'. If column 'x' is
    ** the first one after the nEq equality constraints in the index,
................................................................................
    assert( pWInfo->pOrderBy==0
         || pWInfo->pOrderBy->nExpr==1
         || (pWInfo->wctrlFlags&WHERE_ORDERBY_MIN)==0 );
    if( (pWInfo->wctrlFlags&WHERE_ORDERBY_MIN)!=0
     && pWInfo->nOBSat>0
     && (pIdx->nKeyCol>nEq)
    ){
      assert( pLoop->u.btree.nSkip==0 );
      bSeekPastNull = 1;
      nExtraReg = 1;
    }

    /* Find any inequality constraint terms for the start and end 
    ** of the range. 
    */
................................................................................
    }else{
      z = sqlite3_mprintf("(%d,%x)", p->u.vtab.idxNum, p->u.vtab.omitMask);
    }
    sqlite3DebugPrintf(" %-19s", z);
    sqlite3_free(z);
  }
  if( p->wsFlags & WHERE_SKIPSCAN ){
    sqlite3DebugPrintf(" f %05x %d-%d", p->wsFlags, p->nLTerm,p->u.btree.nSkip);
  }else{
    sqlite3DebugPrintf(" f %05x N %d", p->wsFlags, p->nLTerm);
  }
  sqlite3DebugPrintf(" cost %d,%d,%d\n", p->rSetup, p->rRun, p->nOut);
  if( p->nLTerm && (sqlite3WhereTrace & 0x100)!=0 ){
    int i;
    for(i=0; i<p->nLTerm; i++){
................................................................................
** relationship is inverted and needs to be adjusted.
*/
static int whereLoopCheaperProperSubset(
  const WhereLoop *pX,       /* First WhereLoop to compare */
  const WhereLoop *pY        /* Compare against this WhereLoop */
){
  int i, j;

  if( pX->nLTerm >= pY->nLTerm ) return 0; /* X is not a subset of Y */

  if( pX->rRun >= pY->rRun ){
    if( pX->rRun > pY->rRun ) return 0;    /* X costs more than Y */
    if( pX->nOut > pY->nOut ) return 0;    /* X costs more than Y */
  }
  for(i=pX->nLTerm-1; i>=0; i--){

    for(j=pY->nLTerm-1; j>=0; j--){
      if( pY->aLTerm[j]==pX->aLTerm[i] ) break;
    }
    if( j<0 ) return 0;  /* X not a subset of Y since term X[i] not used by Y */
  }
  return 1;  /* All conditions meet */
}
................................................................................
**
**   (2) pTemplate costs more than any other WhereLoops for which pTemplate
**       is a proper subset.
**
** To say "WhereLoop X is a proper subset of Y" means that X uses fewer
** WHERE clause terms than Y and that every WHERE clause term used by X is
** also used by Y.
**
** This adjustment is omitted for SKIPSCAN loops.  In a SKIPSCAN loop, the
** WhereLoop.nLTerm field is not an accurate measure of the number of WHERE
** clause terms covered, since some of the first nLTerm entries in aLTerm[]
** will be NULL (because they are skipped).  That makes it more difficult
** to compare the loops.  We could add extra code to do the comparison, and
** perhaps we will someday.  But SKIPSCAN is sufficiently uncommon, and this
** adjustment is sufficient minor, that it is very difficult to construct
** a test case where the extra code would improve the query plan.  Better
** to avoid the added complexity and just omit cost adjustments to SKIPSCAN
** loops.
*/
static void whereLoopAdjustCost(const WhereLoop *p, WhereLoop *pTemplate){
  if( (pTemplate->wsFlags & WHERE_INDEXED)==0 ) return;
  if( (pTemplate->wsFlags & WHERE_SKIPSCAN)!=0 ) return;
  for(; p; p=p->pNextLoop){
    if( p->iTab!=pTemplate->iTab ) continue;
    if( (p->wsFlags & WHERE_INDEXED)==0 ) continue;
    if( (p->wsFlags & WHERE_SKIPSCAN)!=0 ) continue;
    if( whereLoopCheaperProperSubset(p, pTemplate) ){
      /* Adjust pTemplate cost downward so that it is cheaper than its 
      ** subset p */
      pTemplate->rRun = p->rRun;
      pTemplate->nOut = p->nOut - 1;
    }else if( whereLoopCheaperProperSubset(pTemplate, p) ){
      /* Adjust pTemplate cost upward so that it is costlier than p since
................................................................................
  WhereLoop *pNew;                /* Template WhereLoop under construction */
  WhereTerm *pTerm;               /* A WhereTerm under consideration */
  int opMask;                     /* Valid operators for constraints */
  WhereScan scan;                 /* Iterator for WHERE terms */
  Bitmask saved_prereq;           /* Original value of pNew->prereq */
  u16 saved_nLTerm;               /* Original value of pNew->nLTerm */
  u16 saved_nEq;                  /* Original value of pNew->u.btree.nEq */
  u16 saved_nSkip;                /* Original value of pNew->u.btree.nSkip */
  u32 saved_wsFlags;              /* Original value of pNew->wsFlags */
  LogEst saved_nOut;              /* Original value of pNew->nOut */
  int iCol;                       /* Index of the column in the table */
  int rc = SQLITE_OK;             /* Return code */
  LogEst rSize;                   /* Number of rows in the table */
  LogEst rLogSize;                /* Logarithm of table size */
  WhereTerm *pTop = 0, *pBtm = 0; /* Top and bottom range constraints */
................................................................................

  assert( pNew->u.btree.nEq<pProbe->nColumn );
  iCol = pProbe->aiColumn[pNew->u.btree.nEq];

  pTerm = whereScanInit(&scan, pBuilder->pWC, pSrc->iCursor, iCol,
                        opMask, pProbe);
  saved_nEq = pNew->u.btree.nEq;
  saved_nSkip = pNew->u.btree.nSkip;
  saved_nLTerm = pNew->nLTerm;
  saved_wsFlags = pNew->wsFlags;
  saved_prereq = pNew->prereq;
  saved_nOut = pNew->nOut;
  pNew->rSetup = 0;
  rSize = pProbe->aiRowLogEst[0];
  rLogSize = estLog(rSize);

  /* Consider using a skip-scan if there are no WHERE clause constraints
  ** available for the left-most terms of the index, and if the average
  ** number of repeats in the left-most terms is at least 18. 
  **
  ** The magic number 18 is selected on the basis that scanning 17 rows
  ** is almost always quicker than an index seek (even though if the index
  ** contains fewer than 2^17 rows we assume otherwise in other parts of
  ** the code). And, even if it is not, it should not be too much slower. 
  ** On the other hand, the extra seeks could end up being significantly
  ** more expensive.  */
  assert( 42==sqlite3LogEst(18) );
  if( saved_nEq==saved_nSkip
   && saved_nEq+1<pProbe->nKeyCol
   && pProbe->aiRowLogEst[saved_nEq+1]>=42  /* TUNING: Minimum for skip-scan */
   && (rc = whereLoopResize(db, pNew, pNew->nLTerm+1))==SQLITE_OK
  ){
    LogEst nIter;
    pNew->u.btree.nEq++;
    pNew->u.btree.nSkip++;
    pNew->aLTerm[pNew->nLTerm++] = 0;
    pNew->wsFlags |= WHERE_SKIPSCAN;
    nIter = pProbe->aiRowLogEst[saved_nEq] - pProbe->aiRowLogEst[saved_nEq+1];
    if( pTerm ){
      /* TUNING:  When estimating skip-scan for a term that is also indexable,
      ** multiply the cost of the skip-scan by 2.0, to make it a little less
      ** desirable than the regular index lookup. */
      nIter += 10;  assert( 10==sqlite3LogEst(2) );
    }
    pNew->nOut -= nIter;
    /* TUNING:  Because uncertainties in the estimates for skip-scan queries,
    ** add a 1.375 fudge factor to make skip-scan slightly less likely. */
    nIter += 5;
    whereLoopAddBtreeIndex(pBuilder, pSrc, pProbe, nIter + nInMul);
    pNew->nOut = saved_nOut;
    pNew->u.btree.nEq = saved_nEq;
    pNew->u.btree.nSkip = saved_nSkip;
  }
  for(; rc==SQLITE_OK && pTerm!=0; pTerm = whereScanNext(&scan)){
    u16 eOp = pTerm->eOperator;   /* Shorthand for pTerm->eOperator */
    LogEst rCostIdx;
    LogEst nOutUnadjusted;        /* nOut before IN() and WHERE adjustments */
    int nIn = 0;
#ifdef SQLITE_ENABLE_STAT3_OR_STAT4
    int nRecValid = pBuilder->nRecValid;
................................................................................
    pNew->nOut = saved_nOut;
#ifdef SQLITE_ENABLE_STAT3_OR_STAT4
    pBuilder->nRecValid = nRecValid;
#endif
  }
  pNew->prereq = saved_prereq;
  pNew->u.btree.nEq = saved_nEq;
  pNew->u.btree.nSkip = saved_nSkip;
  pNew->wsFlags = saved_wsFlags;
  pNew->nOut = saved_nOut;
  pNew->nLTerm = saved_nLTerm;








































  return rc;
}

/*
** Return True if it is possible that pIndex might be useful in
** implementing the ORDER BY clause in pBuilder.
**
................................................................................
    /* Generate auto-index WhereLoops */
    WhereTerm *pTerm;
    WhereTerm *pWCEnd = pWC->a + pWC->nTerm;
    for(pTerm=pWC->a; rc==SQLITE_OK && pTerm<pWCEnd; pTerm++){
      if( pTerm->prereqRight & pNew->maskSelf ) continue;
      if( termCanDriveIndex(pTerm, pSrc, 0) ){
        pNew->u.btree.nEq = 1;
        pNew->u.btree.nSkip = 0;
        pNew->u.btree.pIndex = 0;
        pNew->nLTerm = 1;
        pNew->aLTerm[0] = pTerm;
        /* TUNING: One-time cost for computing the automatic index is
        ** estimated to be X*N*log2(N) where N is the number of rows in
        ** the table being indexed and where X is 7 (LogEst=28) for normal
        ** tables or 1.375 (LogEst=4) for views and subqueries.  The value
................................................................................
    if( pProbe->pPartIdxWhere!=0
     && !whereUsablePartialIndex(pSrc->iCursor, pWC, pProbe->pPartIdxWhere) ){
      testcase( pNew->iTab!=pSrc->iCursor );  /* See ticket [98d973b8f5] */
      continue;  /* Partial index inappropriate for this query */
    }
    rSize = pProbe->aiRowLogEst[0];
    pNew->u.btree.nEq = 0;
    pNew->u.btree.nSkip = 0;
    pNew->nLTerm = 0;
    pNew->iSortIdx = 0;
    pNew->rSetup = 0;
    pNew->prereq = mExtra;
    pNew->nOut = rSize;
    pNew->u.btree.pIndex = pProbe;
    b = indexMightHelpWithOrderBy(pBuilder, pProbe, pSrc->iCursor);
................................................................................
      rev = revSet = 0;
      distinctColumns = 0;
      for(j=0; j<nColumn; j++){
        u8 bOnce;   /* True to run the ORDER BY search loop */

        /* Skip over == and IS NULL terms */
        if( j<pLoop->u.btree.nEq
         && pLoop->u.btree.nSkip==0
         && ((i = pLoop->aLTerm[j]->eOperator) & (WO_EQ|WO_ISNULL))!=0
        ){
          if( i & WO_ISNULL ){
            testcase( isOrderDistinct );
            isOrderDistinct = 0;
          }
          continue;  
................................................................................
  pTab = pItem->pTab;
  if( IsVirtual(pTab) ) return 0;
  if( pItem->zIndex ) return 0;
  iCur = pItem->iCursor;
  pWC = &pWInfo->sWC;
  pLoop = pBuilder->pNew;
  pLoop->wsFlags = 0;
  pLoop->u.btree.nSkip = 0;
  pTerm = findTerm(pWC, iCur, -1, 0, WO_EQ, 0);
  if( pTerm ){
    pLoop->wsFlags = WHERE_COLUMN_EQ|WHERE_IPK|WHERE_ONEROW;
    pLoop->aLTerm[0] = pTerm;
    pLoop->nLTerm = 1;
    pLoop->u.btree.nEq = 1;
    /* TUNING: Cost of a rowid lookup is 10 */
    pLoop->rRun = 33;  /* 33==sqlite3LogEst(10) */
  }else{
    for(pIdx=pTab->pIndex; pIdx; pIdx=pIdx->pNext){
      assert( pLoop->aLTermSpace==pLoop->aLTerm );
      assert( ArraySize(pLoop->aLTermSpace)==4 );
      if( !IsUniqueIndex(pIdx)
       || pIdx->pPartIdxWhere!=0 
       || pIdx->nKeyCol>ArraySize(pLoop->aLTermSpace) 
      ) continue;
      for(j=0; j<pIdx->nKeyCol; j++){
        pTerm = findTerm(pWC, iCur, pIdx->aiColumn[j], 0, WO_EQ, pIdx);
        if( pTerm==0 ) break;

  int nReg;                     /* Number of registers to allocate */
  char *zAff;                   /* Affinity string to return */

  /* This module is only called on query plans that use an index. */
  pLoop = pLevel->pWLoop;
  assert( (pLoop->wsFlags & WHERE_VIRTUALTABLE)==0 );
  nEq = pLoop->u.btree.nEq;
  nSkip = pLoop->nSkip;
  pIdx = pLoop->u.btree.pIndex;
  assert( pIdx!=0 );

  /* Figure out how many memory cells we will need then allocate them.
  */
  regBase = pParse->nMem + 1;
  nReg = pLoop->u.btree.nEq + nExtraReg;
................................................................................
** string similar to:
**
**   "a=? AND b>?"
*/
static void explainIndexRange(StrAccum *pStr, WhereLoop *pLoop, Table *pTab){
  Index *pIndex = pLoop->u.btree.pIndex;
  u16 nEq = pLoop->u.btree.nEq;
  u16 nSkip = pLoop->nSkip;
  int i, j;
  Column *aCol = pTab->aCol;
  i16 *aiColumn = pIndex->aiColumn;

  if( nEq==0 && (pLoop->wsFlags&(WHERE_BTM_LIMIT|WHERE_TOP_LIMIT))==0 ) return;
  sqlite3StrAccumAppend(pStr, " (", 2);
  for(i=0; i<nEq; i++){
................................................................................
    char *zStartAff;             /* Affinity for start of range constraint */
    char cEndAff = 0;            /* Affinity for end of range constraint */
    u8 bSeekPastNull = 0;        /* True to seek past initial nulls */
    u8 bStopAtNull = 0;          /* Add condition to terminate at NULLs */

    pIdx = pLoop->u.btree.pIndex;
    iIdxCur = pLevel->iIdxCur;
    assert( nEq>=pLoop->nSkip );

    /* If this loop satisfies a sort order (pOrderBy) request that 
    ** was passed to this function to implement a "SELECT min(x) ..." 
    ** query, then the caller will only allow the loop to run for
    ** a single iteration. This means that the first row returned
    ** should not have a NULL value stored in 'x'. If column 'x' is
    ** the first one after the nEq equality constraints in the index,
................................................................................
    assert( pWInfo->pOrderBy==0
         || pWInfo->pOrderBy->nExpr==1
         || (pWInfo->wctrlFlags&WHERE_ORDERBY_MIN)==0 );
    if( (pWInfo->wctrlFlags&WHERE_ORDERBY_MIN)!=0
     && pWInfo->nOBSat>0
     && (pIdx->nKeyCol>nEq)
    ){
      assert( pLoop->nSkip==0 );
      bSeekPastNull = 1;
      nExtraReg = 1;
    }

    /* Find any inequality constraint terms for the start and end 
    ** of the range. 
    */
................................................................................
    }else{
      z = sqlite3_mprintf("(%d,%x)", p->u.vtab.idxNum, p->u.vtab.omitMask);
    }
    sqlite3DebugPrintf(" %-19s", z);
    sqlite3_free(z);
  }
  if( p->wsFlags & WHERE_SKIPSCAN ){
    sqlite3DebugPrintf(" f %05x %d-%d", p->wsFlags, p->nLTerm,p->nSkip);
  }else{
    sqlite3DebugPrintf(" f %05x N %d", p->wsFlags, p->nLTerm);
  }
  sqlite3DebugPrintf(" cost %d,%d,%d\n", p->rSetup, p->rRun, p->nOut);
  if( p->nLTerm && (sqlite3WhereTrace & 0x100)!=0 ){
    int i;
    for(i=0; i<p->nLTerm; i++){
................................................................................
** relationship is inverted and needs to be adjusted.
*/
static int whereLoopCheaperProperSubset(
  const WhereLoop *pX,       /* First WhereLoop to compare */
  const WhereLoop *pY        /* Compare against this WhereLoop */
){
  int i, j;
  if( pX->nLTerm-pX->nSkip >= pY->nLTerm-pY->nSkip ){
    return 0; /* X is not a subset of Y */
  }
  if( pX->rRun >= pY->rRun ){
    if( pX->rRun > pY->rRun ) return 0;    /* X costs more than Y */
    if( pX->nOut > pY->nOut ) return 0;    /* X costs more than Y */
  }
  for(i=pX->nLTerm-1; i>=0; i--){
    if( pX->aLTerm[i]==0 ) continue;
    for(j=pY->nLTerm-1; j>=0; j--){
      if( pY->aLTerm[j]==pX->aLTerm[i] ) break;
    }
    if( j<0 ) return 0;  /* X not a subset of Y since term X[i] not used by Y */
  }
  return 1;  /* All conditions meet */
}
................................................................................
**
**   (2) pTemplate costs more than any other WhereLoops for which pTemplate
**       is a proper subset.
**
** To say "WhereLoop X is a proper subset of Y" means that X uses fewer
** WHERE clause terms than Y and that every WHERE clause term used by X is
** also used by Y.











*/
static void whereLoopAdjustCost(const WhereLoop *p, WhereLoop *pTemplate){
  if( (pTemplate->wsFlags & WHERE_INDEXED)==0 ) return;

  for(; p; p=p->pNextLoop){
    if( p->iTab!=pTemplate->iTab ) continue;
    if( (p->wsFlags & WHERE_INDEXED)==0 ) continue;

    if( whereLoopCheaperProperSubset(p, pTemplate) ){
      /* Adjust pTemplate cost downward so that it is cheaper than its 
      ** subset p */
      pTemplate->rRun = p->rRun;
      pTemplate->nOut = p->nOut - 1;
    }else if( whereLoopCheaperProperSubset(pTemplate, p) ){
      /* Adjust pTemplate cost upward so that it is costlier than p since
................................................................................
  WhereLoop *pNew;                /* Template WhereLoop under construction */
  WhereTerm *pTerm;               /* A WhereTerm under consideration */
  int opMask;                     /* Valid operators for constraints */
  WhereScan scan;                 /* Iterator for WHERE terms */
  Bitmask saved_prereq;           /* Original value of pNew->prereq */
  u16 saved_nLTerm;               /* Original value of pNew->nLTerm */
  u16 saved_nEq;                  /* Original value of pNew->u.btree.nEq */
  u16 saved_nSkip;                /* Original value of pNew->nSkip */
  u32 saved_wsFlags;              /* Original value of pNew->wsFlags */
  LogEst saved_nOut;              /* Original value of pNew->nOut */
  int iCol;                       /* Index of the column in the table */
  int rc = SQLITE_OK;             /* Return code */
  LogEst rSize;                   /* Number of rows in the table */
  LogEst rLogSize;                /* Logarithm of table size */
  WhereTerm *pTop = 0, *pBtm = 0; /* Top and bottom range constraints */
................................................................................

  assert( pNew->u.btree.nEq<pProbe->nColumn );
  iCol = pProbe->aiColumn[pNew->u.btree.nEq];

  pTerm = whereScanInit(&scan, pBuilder->pWC, pSrc->iCursor, iCol,
                        opMask, pProbe);
  saved_nEq = pNew->u.btree.nEq;
  saved_nSkip = pNew->nSkip;
  saved_nLTerm = pNew->nLTerm;
  saved_wsFlags = pNew->wsFlags;
  saved_prereq = pNew->prereq;
  saved_nOut = pNew->nOut;
  pNew->rSetup = 0;
  rSize = pProbe->aiRowLogEst[0];
  rLogSize = estLog(rSize);






































  for(; rc==SQLITE_OK && pTerm!=0; pTerm = whereScanNext(&scan)){
    u16 eOp = pTerm->eOperator;   /* Shorthand for pTerm->eOperator */
    LogEst rCostIdx;
    LogEst nOutUnadjusted;        /* nOut before IN() and WHERE adjustments */
    int nIn = 0;
#ifdef SQLITE_ENABLE_STAT3_OR_STAT4
    int nRecValid = pBuilder->nRecValid;
................................................................................
    pNew->nOut = saved_nOut;
#ifdef SQLITE_ENABLE_STAT3_OR_STAT4
    pBuilder->nRecValid = nRecValid;
#endif
  }
  pNew->prereq = saved_prereq;
  pNew->u.btree.nEq = saved_nEq;
  pNew->nSkip = saved_nSkip;
  pNew->wsFlags = saved_wsFlags;
  pNew->nOut = saved_nOut;
  pNew->nLTerm = saved_nLTerm;

  /* Consider using a skip-scan if there are no WHERE clause constraints
  ** available for the left-most terms of the index, and if the average
  ** number of repeats in the left-most terms is at least 18. 
  **
  ** The magic number 18 is selected on the basis that scanning 17 rows
  ** is almost always quicker than an index seek (even though if the index
  ** contains fewer than 2^17 rows we assume otherwise in other parts of
  ** the code). And, even if it is not, it should not be too much slower. 
  ** On the other hand, the extra seeks could end up being significantly
  ** more expensive.  */
  assert( 42==sqlite3LogEst(18) );
  if( saved_nEq==saved_nSkip
   && saved_nEq+1<pProbe->nKeyCol
   && pProbe->aiRowLogEst[saved_nEq+1]>=42  /* TUNING: Minimum for skip-scan */
   && (rc = whereLoopResize(db, pNew, pNew->nLTerm+1))==SQLITE_OK
  ){
    LogEst nIter;
    pNew->u.btree.nEq++;
    pNew->nSkip++;
    pNew->aLTerm[pNew->nLTerm++] = 0;
    pNew->wsFlags |= WHERE_SKIPSCAN;
    nIter = pProbe->aiRowLogEst[saved_nEq] - pProbe->aiRowLogEst[saved_nEq+1];
    if( pTerm ){
      /* TUNING:  When estimating skip-scan for a term that is also indexable,
      ** multiply the cost of the skip-scan by 2.0, to make it a little less
      ** desirable than the regular index lookup. */
      nIter += 10;  assert( 10==sqlite3LogEst(2) );
    }
    pNew->nOut -= nIter;
    /* TUNING:  Because uncertainties in the estimates for skip-scan queries,
    ** add a 1.375 fudge factor to make skip-scan slightly less likely. */
    nIter += 5;
    whereLoopAddBtreeIndex(pBuilder, pSrc, pProbe, nIter + nInMul);
    pNew->nOut = saved_nOut;
    pNew->u.btree.nEq = saved_nEq;
    pNew->nSkip = saved_nSkip;
    pNew->wsFlags = saved_wsFlags;
  }

  return rc;
}

/*
** Return True if it is possible that pIndex might be useful in
** implementing the ORDER BY clause in pBuilder.
**
................................................................................
    /* Generate auto-index WhereLoops */
    WhereTerm *pTerm;
    WhereTerm *pWCEnd = pWC->a + pWC->nTerm;
    for(pTerm=pWC->a; rc==SQLITE_OK && pTerm<pWCEnd; pTerm++){
      if( pTerm->prereqRight & pNew->maskSelf ) continue;
      if( termCanDriveIndex(pTerm, pSrc, 0) ){
        pNew->u.btree.nEq = 1;
        pNew->nSkip = 0;
        pNew->u.btree.pIndex = 0;
        pNew->nLTerm = 1;
        pNew->aLTerm[0] = pTerm;
        /* TUNING: One-time cost for computing the automatic index is
        ** estimated to be X*N*log2(N) where N is the number of rows in
        ** the table being indexed and where X is 7 (LogEst=28) for normal
        ** tables or 1.375 (LogEst=4) for views and subqueries.  The value
................................................................................
    if( pProbe->pPartIdxWhere!=0
     && !whereUsablePartialIndex(pSrc->iCursor, pWC, pProbe->pPartIdxWhere) ){
      testcase( pNew->iTab!=pSrc->iCursor );  /* See ticket [98d973b8f5] */
      continue;  /* Partial index inappropriate for this query */
    }
    rSize = pProbe->aiRowLogEst[0];
    pNew->u.btree.nEq = 0;
    pNew->nSkip = 0;
    pNew->nLTerm = 0;
    pNew->iSortIdx = 0;
    pNew->rSetup = 0;
    pNew->prereq = mExtra;
    pNew->nOut = rSize;
    pNew->u.btree.pIndex = pProbe;
    b = indexMightHelpWithOrderBy(pBuilder, pProbe, pSrc->iCursor);
................................................................................
      rev = revSet = 0;
      distinctColumns = 0;
      for(j=0; j<nColumn; j++){
        u8 bOnce;   /* True to run the ORDER BY search loop */

        /* Skip over == and IS NULL terms */
        if( j<pLoop->u.btree.nEq
         && pLoop->nSkip==0
         && ((i = pLoop->aLTerm[j]->eOperator) & (WO_EQ|WO_ISNULL))!=0
        ){
          if( i & WO_ISNULL ){
            testcase( isOrderDistinct );
            isOrderDistinct = 0;
          }
          continue;  
................................................................................
  pTab = pItem->pTab;
  if( IsVirtual(pTab) ) return 0;
  if( pItem->zIndex ) return 0;
  iCur = pItem->iCursor;
  pWC = &pWInfo->sWC;
  pLoop = pBuilder->pNew;
  pLoop->wsFlags = 0;
  pLoop->nSkip = 0;
  pTerm = findTerm(pWC, iCur, -1, 0, WO_EQ, 0);
  if( pTerm ){
    pLoop->wsFlags = WHERE_COLUMN_EQ|WHERE_IPK|WHERE_ONEROW;
    pLoop->aLTerm[0] = pTerm;
    pLoop->nLTerm = 1;
    pLoop->u.btree.nEq = 1;
    /* TUNING: Cost of a rowid lookup is 10 */
    pLoop->rRun = 33;  /* 33==sqlite3LogEst(10) */
  }else{
    for(pIdx=pTab->pIndex; pIdx; pIdx=pIdx->pNext){
      assert( pLoop->aLTermSpace==pLoop->aLTerm );

      if( !IsUniqueIndex(pIdx)
       || pIdx->pPartIdxWhere!=0 
       || pIdx->nKeyCol>ArraySize(pLoop->aLTermSpace) 
      ) continue;
      for(j=0; j<pIdx->nKeyCol; j++){
        pTerm = findTerm(pWC, iCur, pIdx->aiColumn[j], 0, WO_EQ, pIdx);
        if( pTerm==0 ) break;

  u8 iSortIdx;          /* Sorting index number.  0==None */
  LogEst rSetup;        /* One-time setup cost (ex: create transient index) */
  LogEst rRun;          /* Cost of running each loop */
  LogEst nOut;          /* Estimated number of output rows */
  union {
    struct {               /* Information for internal btree tables */
      u16 nEq;               /* Number of equality constraints */
      u16 nSkip;             /* Number of initial index columns to skip */
      Index *pIndex;         /* Index used, or NULL */
    } btree;
    struct {               /* Information for virtual tables */
      int idxNum;            /* Index number */
      u8 needFree;           /* True if sqlite3_free(idxStr) is needed */
      i8 isOrdered;          /* True if satisfies ORDER BY */
      u16 omitMask;          /* Terms that may be omitted */
      char *idxStr;          /* Index identifier string */
    } vtab;
  } u;
  u32 wsFlags;          /* WHERE_* flags describing the plan */
  u16 nLTerm;           /* Number of entries in aLTerm[] */

  /**** whereLoopXfer() copies fields above ***********************/
# define WHERE_LOOP_XFER_SZ offsetof(WhereLoop,nLSlot)
  u16 nLSlot;           /* Number of slots allocated for aLTerm[] */
  WhereTerm **aLTerm;   /* WhereTerms used */
  WhereLoop *pNextLoop; /* Next WhereLoop object in the WhereClause */
  WhereTerm *aLTermSpace[4];  /* Initial aLTerm[] space */
};

/* This object holds the prerequisites and the cost of running a
** subquery on one operand of an OR operator in the WHERE clause.
** See WhereOrSet for additional information 
*/
struct WhereOrCost {

  u8 iSortIdx;          /* Sorting index number.  0==None */
  LogEst rSetup;        /* One-time setup cost (ex: create transient index) */
  LogEst rRun;          /* Cost of running each loop */
  LogEst nOut;          /* Estimated number of output rows */
  union {
    struct {               /* Information for internal btree tables */
      u16 nEq;               /* Number of equality constraints */

      Index *pIndex;         /* Index used, or NULL */
    } btree;
    struct {               /* Information for virtual tables */
      int idxNum;            /* Index number */
      u8 needFree;           /* True if sqlite3_free(idxStr) is needed */
      i8 isOrdered;          /* True if satisfies ORDER BY */
      u16 omitMask;          /* Terms that may be omitted */
      char *idxStr;          /* Index identifier string */
    } vtab;
  } u;
  u32 wsFlags;          /* WHERE_* flags describing the plan */
  u16 nLTerm;           /* Number of entries in aLTerm[] */
  u16 nSkip;            /* Number of NULL aLTerm[] entries */
  /**** whereLoopXfer() copies fields above ***********************/
# define WHERE_LOOP_XFER_SZ offsetof(WhereLoop,nLSlot)
  u16 nLSlot;           /* Number of slots allocated for aLTerm[] */
  WhereTerm **aLTerm;   /* WhereTerms used */
  WhereLoop *pNextLoop; /* Next WhereLoop object in the WhereClause */
  WhereTerm *aLTermSpace[3];  /* Initial aLTerm[] space */
};

/* This object holds the prerequisites and the cost of running a
** subquery on one operand of an OR operator in the WHERE clause.
** See WhereOrSet for additional information 
*/
struct WhereOrCost {

# 2014-10-21
#
# The author disclaims copyright to this source code.  In place of
# a legal notice, here is a blessing:
#
#    May you do good and not evil.
#    May you find forgiveness for yourself and forgive others.
#    May you share freely, never taking more than you give.
#
#***********************************************************************
#
# This file implements tests of the "skip-scan" query strategy. In 
# particular, this file verifies that use of all columns of an index
# is always preferred over the use of a skip-scan on some columns of
# the same index.  Because of difficulties in scoring a skip-scan,
# the skip-scan can sometimes come out with a lower raw score when
# using STAT4.  But the query planner should detect this and use the
# full index rather than the skip-scan.
#

set testdir [file dirname $argv0]
source $testdir/tester.tcl
set testprefix skipscan6

ifcapable !stat4 {
  finish_test
  return
}

do_execsql_test 1.1 {
  CREATE TABLE t1(
    aa int,
    bb int,
    cc int,
    dd int,
    ee int
  );
  CREATE INDEX ix on t1(aa, bb, cc,  dd DESC);
  ANALYZE sqlite_master;
  INSERT INTO sqlite_stat1 VALUES('t1','ix','2695116 1347558 264 18 2');
  INSERT INTO sqlite_stat4 VALUES('t1','ix','2677151 196859 196859 32 1','0 15043 15043 92468 92499','0 19 286 81846 92499',X'0609010804031552977BD725BD28');
  INSERT INTO sqlite_stat4 VALUES('t1','ix','2677151 14687 161 1 1','0 289067 299306 299457 299457','0 199 6772 273984 299457',X'060902020403013406314D67456415B819');
  INSERT INTO sqlite_stat4 VALUES('t1','ix','2677151 19313 19308 22 1','0 325815 325815 343725 343746','0 261 9545 315009 343746',X'060902080403018A49B0A3AD1ED931');
  INSERT INTO sqlite_stat4 VALUES('t1','ix','2677151 25047 9051 15 1','0 350443 350443 356590 356604','0 266 9795 325519 356604',X'06090208040301914C2DD2E91F93CF');
  INSERT INTO sqlite_stat4 VALUES('t1','ix','2677151 42327 9906 7 1','0 376381 376381 380291 380297','0 268 10100 344232 380297',X'06090208040301934BF672511F7ED3');
  INSERT INTO sqlite_stat4 VALUES('t1','ix','2677151 24513 2237 1 1','0 455150 467779 470015 470015','0 286 10880 425401 470015',X'06090202040301A703464A28F2611EF1EE');
  INSERT INTO sqlite_stat4 VALUES('t1','ix','2677151 18730 18724 15 1','0 479663 479663 498271 498285','0 287 10998 450793 498285',X'06090208040301A8494AF3A41EC50C');
  INSERT INTO sqlite_stat4 VALUES('t1','ix','2677151 119603 47125 1 1','0 572425 572425 598915 598915','0 404 14230 546497 598915',X'06090208040302474FD1929A03194F');
  INSERT INTO sqlite_stat4 VALUES('t1','ix','2677151 1454 1454 1 1','0 898346 898346 898373 898373','0 952 31165 827562 898373',X'06090208040304FD53F6A2A2097F64');
  INSERT INTO sqlite_stat4 VALUES('t1','ix','2677151 57138 7069 1 1','0 1122389 1122389 1129457 1129457','0 1967 46801 1045943 1129457',X'06090208040309884BC4C52F1F6EB7');
  INSERT INTO sqlite_stat4 VALUES('t1','ix','2677151 285 11 1 1','0 1197683 1197824 1197831 1197831','0 2033 50990 1112280 1197831',X'06090202040309D80346503FE2A9038E4F');
  INSERT INTO sqlite_stat4 VALUES('t1','ix','2677151 25365 9773 1 1','0 1301013 1301013 1310785 1310785','0 2561 58806 1217877 1310785',X'0609020804030C5F4C8F88AB0AF2A2');
  INSERT INTO sqlite_stat4 VALUES('t1','ix','2677151 45180 7222 1 1','0 1326378 1326378 1333599 1333599','0 2562 59921 1240187 1333599',X'0609020804030C604CAB75490B0351');
  INSERT INTO sqlite_stat4 VALUES('t1','ix','2677151 8537 41 1 1','0 1496959 1497288 1497289 1497289','0 3050 68246 1394126 1497289',X'0609020204030EA0057F527459B0257C4B');
  INSERT INTO sqlite_stat4 VALUES('t1','ix','2677151 26139 26131 17 1','0 1507977 1507977 1520578 1520594','0 3074 69188 1416111 1520594',X'0609020804030EB95169453423D4EA');
  INSERT INTO sqlite_stat4 VALUES('t1','ix','2677151 102894 29678 1 1','0 1537421 1550467 1564894 1564894','0 3109 69669 1459820 1564894',X'0609020204030EE3183652A6ED3006EBCB');
  INSERT INTO sqlite_stat4 VALUES('t1','ix','2677151 319 3 1 1','0 1796728 1796746 1796747 1796747','0 3650 86468 1682243 1796747',X'0609020204031163033550D0C41018C28D');
  INSERT INTO sqlite_stat4 VALUES('t1','ix','2677151 127 127 1 1','0 2096194 2096194 2096205 2096205','0 5145 106437 1951535 2096205',X'060902080403180F53BB1AF727EE50');
  INSERT INTO sqlite_stat4 VALUES('t1','ix','2677151 66574 5252 1 1','0 2230524 2265961 2271212 2271212','0 5899 114976 2085829 2271212',X'0609020204031B8A05195009976D223B90');
  INSERT INTO sqlite_stat4 VALUES('t1','ix','2677151 19440 19440 1 1','0 2391680 2391680 2395663 2395663','0 6718 123714 2184781 2395663',X'0609020804031F7452E00A7B07431A');
  INSERT INTO sqlite_stat4 VALUES('t1','ix','2677151 18321 2177 1 1','0 2522928 2523231 2525407 2525407','0 7838 139084 2299958 2525407',X'06090201040324A7475231103B1AA7B8');
  INSERT INTO sqlite_stat4 VALUES('t1','ix','2677151 22384 1361 1 1','0 2541249 2544834 2546194 2546194','0 7839 139428 2308416 2546194',X'06090202040324A8011652323D4B1AA9EB');
  INSERT INTO sqlite_stat4 VALUES('t1','ix','2677151 18699 855 1 1','0 2563633 2578178 2579032 2579032','0 7840 139947 2321671 2579032',X'06090202040324A9077452323D7D1052C5');
  INSERT INTO sqlite_stat4 VALUES('t1','ix','17965 1579 1579 1 1','2677151 2690666 2690666 2692244 2692244','1 9870 153959 2418294 2692244',X'060102080403021B8A4FE1AB84032B35');
  ANALYZE sqlite_master;
} {}
do_execsql_test 1.2 {
  EXPLAIN QUERY PLAN
  SELECT COUNT(*)
    FROM t1
   WHERE bb=21
     AND aa=1
     AND dd BETWEEN 1413833728 and 1413837331;
} {/INDEX ix .aa=. AND bb=../}

do_execsql_test 2.1 {
  DROP INDEX ix;
  CREATE INDEX good on t1(bb, aa, dd DESC);
  CREATE INDEX bad on t1(aa, bb, cc,  dd DESC);
  DELETE FROM sqlite_stat1;
  DELETE FROM sqlite_stat4;
  INSERT INTO sqlite_stat1 VALUES('t1','good','2695116 299 264 2');
  INSERT INTO sqlite_stat1 VALUES('t1','bad','2695116 1347558 264 18 2');
  INSERT INTO sqlite_stat4 VALUES('t1','good','197030 196859 32 1','15086 15086 92511 92536','19 25 81644 92536',X'05010904031552977BD725BD22');
  INSERT INTO sqlite_stat4 VALUES('t1','good','14972 14687 1 1','289878 289878 299457 299457','199 244 267460 299457',X'050209040301344F7E569402C419');
  INSERT INTO sqlite_stat4 VALUES('t1','good','19600 19313 22 1','327127 327127 346222 346243','261 319 306884 346243',X'0502090403018A49503BC01EC577');
  INSERT INTO sqlite_stat4 VALUES('t1','good','25666 25047 15 1','352087 352087 372692 372706','266 327 325601 372706',X'050209040301914C2DD2E91F93CF');
  INSERT INTO sqlite_stat4 VALUES('t1','good','42392 42327 26 1','378657 378657 382547 382572','268 331 333529 382572',X'05020904030193533B2FE326ED48');
  INSERT INTO sqlite_stat4 VALUES('t1','good','24619 24513 11 1','457872 457872 461748 461758','286 358 399322 461758',X'050209040301A752B1557825EA7C');
  INSERT INTO sqlite_stat4 VALUES('t1','good','18969 18730 15 1','482491 482491 501105 501119','287 360 433605 501119',X'050209040301A8494AF3A41EC50C');
  INSERT INTO sqlite_stat4 VALUES('t1','good','119710 119603 1 1','576500 576500 598915 598915','404 505 519877 598915',X'05020904030247539A7A7912F617');
  INSERT INTO sqlite_stat4 VALUES('t1','good','11955 11946 1 1','889796 889796 898373 898373','938 1123 794694 898373',X'050209040304EF4DF9C4150BBB28');
  INSERT INTO sqlite_stat4 VALUES('t1','good','57197 57138 24 1','1129865 1129865 1151492 1151515','1967 2273 1027048 1151515',X'05020904030988533510BC26E20A');
  INSERT INTO sqlite_stat4 VALUES('t1','good','3609 3543 1 1','1196265 1196265 1197831 1197831','2002 2313 1070108 1197831',X'050209040309B050E95CD718D94D');
  INSERT INTO sqlite_stat4 VALUES('t1','good','25391 25365 13 1','1309378 1309378 1315567 1315579','2561 2936 1178358 1315579',X'05020904030C5F53DF9E13283570');
  INSERT INTO sqlite_stat4 VALUES('t1','good','45232 45180 17 1','1334769 1334769 1337946 1337962','2562 2938 1198998 1337962',X'05020904030C60541CACEE28BCAC');
  INSERT INTO sqlite_stat4 VALUES('t1','good','5496 5493 1 1','1495882 1495882 1497289 1497289','3043 3479 1348695 1497289',X'05020904030E99515C62AD0F0B34');
  INSERT INTO sqlite_stat4 VALUES('t1','good','26348 26139 17 1','1517381 1517381 1529990 1530006','3074 3519 1378320 1530006',X'05020904030EB95169453423D4EA');
  INSERT INTO sqlite_stat4 VALUES('t1','good','102927 102894 10 1','1547088 1547088 1649950 1649959','3109 3559 1494260 1649959',X'05020904030EE34D309F671FFA47');
  INSERT INTO sqlite_stat4 VALUES('t1','good','3602 3576 1 1','1793873 1793873 1796747 1796747','3601 4128 1630783 1796747',X'050209040311294FE88B432219B9');
  INSERT INTO sqlite_stat4 VALUES('t1','good','154 154 1 1','2096059 2096059 2096205 2096205','5037 5779 1893039 2096205',X'050209040317994EFF05A016DCED');
  INSERT INTO sqlite_stat4 VALUES('t1','good','68153 66574 60 1','2244039 2244039 2268892 2268951','5899 6749 2027553 2268951',X'05020904031B8A532DBC5A26D2BA');
  INSERT INTO sqlite_stat4 VALUES('t1','good','321 321 1 1','2395618 2395618 2395663 2395663','6609 7528 2118435 2395663',X'05020904031EFA54078EEE1E2D65');
  INSERT INTO sqlite_stat4 VALUES('t1','good','19449 19440 22 1','2407769 2407769 2426049 2426070','6718 7651 2146904 2426070',X'05020904031F7450E6118C2336BD');
  INSERT INTO sqlite_stat4 VALUES('t1','good','18383 18321 56 1','2539949 2539949 2551080 2551135','7838 8897 2245459 2551135',X'050209040324A752EA2E1E2642B2');
  INSERT INTO sqlite_stat4 VALUES('t1','good','22479 22384 60 1','2558332 2558332 2565233 2565292','7839 8899 2251202 2565292',X'050209040324A853926538279A5F');
  INSERT INTO sqlite_stat4 VALUES('t1','good','18771 18699 63 1','2580811 2580811 2596914 2596976','7840 8901 2263572 2596976',X'050209040324A9526C1DE9256E72');
  INSERT INTO sqlite_stat4 VALUES('t1','bad','2677151 196859 196859 32 1','0 15043 15043 92468 92499','0 19 286 81846 92499',X'0609010804031552977BD725BD28');
  INSERT INTO sqlite_stat4 VALUES('t1','bad','2677151 14687 161 1 1','0 289067 299306 299457 299457','0 199 6772 273984 299457',X'060902020403013406314D67456415B819');
  INSERT INTO sqlite_stat4 VALUES('t1','bad','2677151 19313 19308 22 1','0 325815 325815 343725 343746','0 261 9545 315009 343746',X'060902080403018A49B0A3AD1ED931');
  INSERT INTO sqlite_stat4 VALUES('t1','bad','2677151 25047 9051 15 1','0 350443 350443 356590 356604','0 266 9795 325519 356604',X'06090208040301914C2DD2E91F93CF');
  INSERT INTO sqlite_stat4 VALUES('t1','bad','2677151 42327 9906 7 1','0 376381 376381 380291 380297','0 268 10100 344232 380297',X'06090208040301934BF672511F7ED3');
  INSERT INTO sqlite_stat4 VALUES('t1','bad','2677151 24513 2237 1 1','0 455150 467779 470015 470015','0 286 10880 425401 470015',X'06090202040301A703464A28F2611EF1EE');
  INSERT INTO sqlite_stat4 VALUES('t1','bad','2677151 18730 18724 15 1','0 479663 479663 498271 498285','0 287 10998 450793 498285',X'06090208040301A8494AF3A41EC50C');
  INSERT INTO sqlite_stat4 VALUES('t1','bad','2677151 119603 47125 1 1','0 572425 572425 598915 598915','0 404 14230 546497 598915',X'06090208040302474FD1929A03194F');
  INSERT INTO sqlite_stat4 VALUES('t1','bad','2677151 1454 1454 1 1','0 898346 898346 898373 898373','0 952 31165 827562 898373',X'06090208040304FD53F6A2A2097F64');
  INSERT INTO sqlite_stat4 VALUES('t1','bad','2677151 57138 7069 1 1','0 1122389 1122389 1129457 1129457','0 1967 46801 1045943 1129457',X'06090208040309884BC4C52F1F6EB7');
  INSERT INTO sqlite_stat4 VALUES('t1','bad','2677151 285 11 1 1','0 1197683 1197824 1197831 1197831','0 2033 50990 1112280 1197831',X'06090202040309D80346503FE2A9038E4F');
  INSERT INTO sqlite_stat4 VALUES('t1','bad','2677151 25365 9773 1 1','0 1301013 1301013 1310785 1310785','0 2561 58806 1217877 1310785',X'0609020804030C5F4C8F88AB0AF2A2');
  INSERT INTO sqlite_stat4 VALUES('t1','bad','2677151 45180 7222 1 1','0 1326378 1326378 1333599 1333599','0 2562 59921 1240187 1333599',X'0609020804030C604CAB75490B0351');
  INSERT INTO sqlite_stat4 VALUES('t1','bad','2677151 8537 41 1 1','0 1496959 1497288 1497289 1497289','0 3050 68246 1394126 1497289',X'0609020204030EA0057F527459B0257C4B');
  INSERT INTO sqlite_stat4 VALUES('t1','bad','2677151 26139 26131 17 1','0 1507977 1507977 1520578 1520594','0 3074 69188 1416111 1520594',X'0609020804030EB95169453423D4EA');
  INSERT INTO sqlite_stat4 VALUES('t1','bad','2677151 102894 29678 1 1','0 1537421 1550467 1564894 1564894','0 3109 69669 1459820 1564894',X'0609020204030EE3183652A6ED3006EBCB');
  INSERT INTO sqlite_stat4 VALUES('t1','bad','2677151 319 3 1 1','0 1796728 1796746 1796747 1796747','0 3650 86468 1682243 1796747',X'0609020204031163033550D0C41018C28D');
  INSERT INTO sqlite_stat4 VALUES('t1','bad','2677151 127 127 1 1','0 2096194 2096194 2096205 2096205','0 5145 106437 1951535 2096205',X'060902080403180F53BB1AF727EE50');
  INSERT INTO sqlite_stat4 VALUES('t1','bad','2677151 66574 5252 1 1','0 2230524 2265961 2271212 2271212','0 5899 114976 2085829 2271212',X'0609020204031B8A05195009976D223B90');
  INSERT INTO sqlite_stat4 VALUES('t1','bad','2677151 19440 19440 1 1','0 2391680 2391680 2395663 2395663','0 6718 123714 2184781 2395663',X'0609020804031F7452E00A7B07431A');
  INSERT INTO sqlite_stat4 VALUES('t1','bad','2677151 18321 2177 1 1','0 2522928 2523231 2525407 2525407','0 7838 139084 2299958 2525407',X'06090201040324A7475231103B1AA7B8');
  INSERT INTO sqlite_stat4 VALUES('t1','bad','2677151 22384 1361 1 1','0 2541249 2544834 2546194 2546194','0 7839 139428 2308416 2546194',X'06090202040324A8011652323D4B1AA9EB');
  INSERT INTO sqlite_stat4 VALUES('t1','bad','2677151 18699 855 1 1','0 2563633 2578178 2579032 2579032','0 7840 139947 2321671 2579032',X'06090202040324A9077452323D7D1052C5');
  INSERT INTO sqlite_stat4 VALUES('t1','bad','17965 1579 1579 1 1','2677151 2690666 2690666 2692244 2692244','1 9870 153959 2418294 2692244',X'060102080403021B8A4FE1AB84032B35');
  ANALYZE sqlite_master;
} {}
do_execsql_test 2.2 {
  EXPLAIN QUERY PLAN
  SELECT COUNT(*)
    FROM t1
   WHERE bb=21
     AND aa=1
     AND dd BETWEEN 1413833728 and 1413837331;
} {/INDEX good .bb=. AND aa=. AND dd>. AND dd<../}



finish_test