diff --git a/doc/src/sgml/regress.sgml b/doc/src/sgml/regress.sgml
index a5a9c8aa9cb..62843345a43 100644
--- a/doc/src/sgml/regress.sgml
+++ b/doc/src/sgml/regress.sgml
@@ -82,15 +82,15 @@ The runtime path is /usr/local/pgsql (other paths are possible).
 
 
 
-  The postmaster should be invoked with the system time zone set for
-  Berkeley, California. This is done automatically by the regression
-test script. However, it does require machine support for the PST8PDT
-time zone.
-
-
-
-To verify that your machine does have this support, type
-the following:
+  It was formerly necessary to run the postmaster with system time zone
+  set to PST, but this is no longer required.  You can run the regression
+  tests under your normal postmaster configuration.  The test script will
+  set the PGTZ environment variable to ensure that timezone-dependent tests
+  produce the expected results.  However, your system must provide
+  library support for the PST8PDT time zone, or the timezone-dependent
+  tests will fail.
+  To verify that your machine does have this support, type
+  the following:
 
     setenv TZ PST8PDT
     date
@@ -147,36 +147,15 @@ the following:
       like ps and tar vary wildly on what options you should use on each
       platform. Use common sense before typing in these commands.
     
-    
-    
-      Postgres Regression Configuration
       
       
 	For a fresh install or upgrading from previous releases of
 	Postgres:
       
-      
-      
-	
-	  Build the regression test. Type
-	  
-	    cd /usr/src/pgsql/src/test/regress
-	    gmake all
-	  
-	
-      
-      
-      
-	
-	  If you have prevously invoked the regression test, clean up the
-	  working directory with:
-	  
-	  
-	    cd /usr/src/pgsql/src/test/regress
-	    make clean
-	  
-	
-      
+    
+    
+      Postgres Regression Configuration
+
       
 	
 	  The file /usr/src/pgsql/src/test/regress/README has detailed
@@ -210,21 +189,41 @@ the following:
 	
       
       
+      
+	
+	  If you have previously invoked the regression test, clean up the
+	  working directory with:
+	  
+	  
+	    cd /usr/src/pgsql/src/test/regress
+	    gmake clean
+	  
+	
+	
+	  You do not need to type "gmake clean" if this is the first time you
+	  are running the tests.
+	
+      
+
+      
+      
+	
+	  Build the regression test. Type
+	  
+	    cd /usr/src/pgsql/src/test/regress
+	    gmake all
+	  
+	
+      
+      
       
 	
 	  Run the regression tests.  Type
-	  
 	  
 	    cd /usr/src/pgsql/src/test/regress
 	    gmake runtest
 	  
 	
-	
-	
-	  
-	  You do not need to type "gmake clean" if this is the first time you
-	  are running the tests.
-	
       
       
       
@@ -245,12 +244,13 @@ the following:
       
       
 	
-	  After running the tests, type
+	  After running the tests and examining the results, type
 	  
 	    destroydb regression
 	    cd /usr/src/pgsql/src/test/regress
 	    gmake clean
 	  
+	  to recover the temporary disk space used by the tests.
 	
       
     
@@ -258,48 +258,30 @@ the following:
   
   
     Regression Analysis
-    
-    
-      Failed
 tests may have failed due to slightly different error messages,
-      math libraries, or output formatting.
+
+     
+       The results are in files in the ./results directory. These results
+       can be compared with results in the ./expected directory using 'diff'.
+       (The test script does this for you, and leaves the differences
+       in ./regression.diffs.)
+     
+
+     
+       The files might not compare exactly.  The test script will report
+       any difference as a "failure", but the difference might be due
+       to small cross-system differences in error message wording,
+       math library behavior, etc.
       "Failures" of this type do not indicate a problem with
       Postgres.
     
     
     
-      For a i686/Linux-ELF platform, no tests failed since this is the
-      v6.2.1 regression testing reference platform.
+      Thus, it is necessary to examine the actual differences for each
+      "failed" test to determine whether there is really a problem.
+      The following paragraphs attempt to provide some guidance in
+      determining whether a difference is significant or not.
     
     
-    
-      For the SPARC/Linux-ELF platform, using the 970525 beta version of
-      Postgres v6.2 the following tests "failed":
-      float8 and geometry "failed" due to minor precision differences in
-      floating point numbers.  select_views produces massively different output,
-      but the differences are due to minor floating point differences.
-    
-    
-    
-      Conclusion?  If you do see failures, try to understand the nature of
-      the differences and then decide if those differences will affect your
-      intended use of Postgres.  However, keep in mind that this is likely
-      to be the most solid release of Postgres to date, incorporating many
-      bug fixes from v6.1, and that previous versions of Postgres have been
-      in use successfully for some time now.
-    
-    
-    
-      Comparing expected/actual output
-
-      
-	The results are in files in the ./results directory. These results
-	can be compared with results in the ./expected directory using 'diff'.
-	The files might not compare exactly. The following paragraphs attempt
-	to explain the differences.
-      
-      
-    
-    
     
       Error message differences
       
@@ -337,18 +319,24 @@ the following:
       Date and time differences
       
       
-	On many supported platforms, you can force PostgreSQL to believe that it
-	is running in the same time zone as Berkeley, California. See details in
-	the section on how to run the regression tests.
-	
-	If you do not explicitly set your time zone environment to PST8PDT, then
-	most of the date and time results will reflect your local time zone and
-	will fail the regression testing.
-	
-	There appears to be some systems which do not accept the recommended syntax
-	for explicitly setting the local time zone rules. Some systems using the
-	public domain time zone package exhibit minor problems with pre-1970 PDT
-	times, representing them in PST instead.
+  Most of the date and time results are dependent on timezone environment.
+  The reference files are generated for timezone PST8PDT (Berkeley,
+  California) and there will be apparent failures if the tests are not
+  run with that timezone setting.  The regression test driver sets
+  environment variable PGTZ to PST8PDT to ensure proper results.
+      
+
+      
+  There appear to be some systems which do not accept the recommended syntax
+  for explicitly setting the local time zone rules; you may need to use
+  a different PGTZ setting on such machines.
+      
+
+      
+  Some systems using older timezone libraries fail to apply daylight-savings
+  corrections to pre-1970 dates, causing pre-1970 PDT times to be displayed
+  in PST instead.  This will result in localized differences in the test
+  results.
       
       
     
@@ -357,17 +345,17 @@ the following:
       Floating point differences
       
       
-	Some of the tests involve computing 64-bit (float8) number from table
+	Some of the tests involve computing 64-bit (float8) numbers from table
 	columns. Differences in results involving mathematical functions of
-	float8 columns have been observed. These differences occur where
-	different operating systems are used on the same platform ie:
-	BSDI and SOLARIS on Intel/86, and where the same operating system is
-	used used on different platforms, ie: SOLARIS on SPARC and Intel/86.
-	
+	float8 columns have been observed.  The float8
+	and geometry tests are particularly prone to small differences
+	across platforms.
 	Human eyeball comparison is needed to determine the real significance
 	of these differences which are usually 10 places to the right of
 	the decimal point.
-	
+      
+
+      
 	Some systems signal errors from pow() and exp() differently from
 	the mechanism expected by the current Postgres code.
       
@@ -403,7 +391,8 @@ the following:
       
       
 	There is at least one test case in random.out which is intended to produce
-	random results. This causes random to fail the regression testing.
+	random results. This causes random to fail the regression testing
+	once in a while.
 	Typing
 	
 	  diff results/random.out expected/random.out