diff --git a/core/trino-main/src/main/java/io/trino/util/DateTimeUtils.java b/core/trino-main/src/main/java/io/trino/util/DateTimeUtils.java
index 7ee4da4e4cec..7fe88f525dee 100644
--- a/core/trino-main/src/main/java/io/trino/util/DateTimeUtils.java
+++ b/core/trino-main/src/main/java/io/trino/util/DateTimeUtils.java
@@ -20,12 +20,10 @@
 import io.trino.sql.tree.IntervalLiteral.IntervalField;
 import org.assertj.core.util.VisibleForTesting;
 import org.joda.time.DateTime;
-import org.joda.time.DateTimeZone;
 import org.joda.time.DurationFieldType;
 import org.joda.time.MutablePeriod;
 import org.joda.time.Period;
 import org.joda.time.ReadWritablePeriod;
-import org.joda.time.chrono.ISOChronology;
 import org.joda.time.format.DateTimeFormat;
 import org.joda.time.format.DateTimeFormatter;
 import org.joda.time.format.DateTimeFormatterBuilder;
@@ -48,12 +46,9 @@
 
 import static com.google.common.base.Preconditions.checkArgument;
 import static io.trino.spi.StandardErrorCode.INVALID_FUNCTION_ARGUMENT;
-import static io.trino.spi.type.DateTimeEncoding.unpackMillisUtc;
 import static io.trino.util.DateTimeZoneIndex.getChronology;
 import static io.trino.util.DateTimeZoneIndex.getDateTimeZone;
 import static io.trino.util.DateTimeZoneIndex.packDateTimeWithZone;
-import static io.trino.util.DateTimeZoneIndex.unpackChronology;
-import static io.trino.util.DateTimeZoneIndex.unpackDateTimeZone;
 import static java.lang.Math.toIntExact;
 import static java.lang.String.format;
 
@@ -136,7 +131,6 @@ public static String printDate(int days)
         return DATE_FORMATTER.print(TimeUnit.DAYS.toMillis(days));
     }
 
-    private static final DateTimeFormatter TIMESTAMP_WITH_TIME_ZONE_FORMATTER;
     private static final DateTimeFormatter TIMESTAMP_WITH_OR_WITHOUT_TIME_ZONE_FORMATTER;
 
     static {
@@ -165,10 +159,6 @@ public static String printDate(int days)
                 DateTimeFormat.forPattern("yyyyyy-M-d H:m:s.SSS ZZZ").getParser()};
 
         DateTimePrinter timestampWithTimeZonePrinter = DateTimeFormat.forPattern("yyyy-MM-dd HH:mm:ss.SSS ZZZ").getPrinter();
-        TIMESTAMP_WITH_TIME_ZONE_FORMATTER = new DateTimeFormatterBuilder()
-                .append(timestampWithTimeZonePrinter, timestampWithTimeZoneParser)
-                .toFormatter()
-                .withOffsetParsed();
 
         DateTimeParser[] timestampWithOrWithoutTimeZoneParser = Stream.concat(Stream.of(timestampWithoutTimeZoneParser), Stream.of(timestampWithTimeZoneParser))
                 .toArray(DateTimeParser[]::new);
@@ -194,15 +184,7 @@ public static long convertToTimestampWithTimeZone(TimeZoneKey timeZoneKey, Strin
         return packDateTimeWithZone(dateTime);
     }
 
-    public static String printTimestampWithTimeZone(long timestampWithTimeZone)
-    {
-        ISOChronology chronology = unpackChronology(timestampWithTimeZone);
-        long millis = unpackMillisUtc(timestampWithTimeZone);
-        return TIMESTAMP_WITH_TIME_ZONE_FORMATTER.withChronology(chronology).print(millis);
-    }
-
     private static final DateTimeFormatter TIME_FORMATTER;
-    private static final DateTimeFormatter TIME_WITH_TIME_ZONE_FORMATTER;
 
     static {
         DateTimeParser[] timeWithoutTimeZoneParser = {
@@ -211,22 +193,6 @@ public static String printTimestampWithTimeZone(long timestampWithTimeZone)
                 DateTimeFormat.forPattern("H:m:s.SSS").getParser()};
         DateTimePrinter timeWithoutTimeZonePrinter = DateTimeFormat.forPattern("HH:mm:ss.SSS").getPrinter();
         TIME_FORMATTER = new DateTimeFormatterBuilder().append(timeWithoutTimeZonePrinter, timeWithoutTimeZoneParser).toFormatter().withZoneUTC();
-
-        DateTimeParser[] timeWithTimeZoneParser = {
-                DateTimeFormat.forPattern("H:mZ").getParser(),
-                DateTimeFormat.forPattern("H:m Z").getParser(),
-                DateTimeFormat.forPattern("H:m:sZ").getParser(),
-                DateTimeFormat.forPattern("H:m:s Z").getParser(),
-                DateTimeFormat.forPattern("H:m:s.SSSZ").getParser(),
-                DateTimeFormat.forPattern("H:m:s.SSS Z").getParser(),
-                DateTimeFormat.forPattern("H:mZZZ").getParser(),
-                DateTimeFormat.forPattern("H:m ZZZ").getParser(),
-                DateTimeFormat.forPattern("H:m:sZZZ").getParser(),
-                DateTimeFormat.forPattern("H:m:s ZZZ").getParser(),
-                DateTimeFormat.forPattern("H:m:s.SSSZZZ").getParser(),
-                DateTimeFormat.forPattern("H:m:s.SSS ZZZ").getParser()};
-        DateTimePrinter timeWithTimeZonePrinter = DateTimeFormat.forPattern("HH:mm:ss.SSS ZZZ").getPrinter();
-        TIME_WITH_TIME_ZONE_FORMATTER = new DateTimeFormatterBuilder().append(timeWithTimeZonePrinter, timeWithTimeZoneParser).toFormatter().withOffsetParsed();
     }
 
     /**
@@ -241,27 +207,6 @@ public static long parseLegacyTime(TimeZoneKey timeZoneKey, String value)
         return TIME_FORMATTER.withZone(getDateTimeZone(timeZoneKey)).parseMillis(value);
     }
 
-    public static String printTimeWithTimeZone(long timeWithTimeZone)
-    {
-        DateTimeZone timeZone = unpackDateTimeZone(timeWithTimeZone);
-        long millis = unpackMillisUtc(timeWithTimeZone);
-        return TIME_WITH_TIME_ZONE_FORMATTER.withZone(timeZone).print(millis);
-    }
-
-    public static String printTimeWithoutTimeZone(long value)
-    {
-        return TIME_FORMATTER.print(value);
-    }
-
-    /**
-     * @deprecated applicable in legacy timestamp semantics only
-     */
-    @Deprecated
-    public static String printTimeWithoutTimeZone(TimeZoneKey timeZoneKey, long value)
-    {
-        return TIME_FORMATTER.withZone(getDateTimeZone(timeZoneKey)).print(value);
-    }
-
     private static final int YEAR_FIELD = 0;
     private static final int MONTH_FIELD = 1;
     private static final int DAY_FIELD = 3;
diff --git a/core/trino-parser/src/main/java/io/trino/sql/SqlFormatter.java b/core/trino-parser/src/main/java/io/trino/sql/SqlFormatter.java
index 9692ae9129a5..e703d983eb34 100644
--- a/core/trino-parser/src/main/java/io/trino/sql/SqlFormatter.java
+++ b/core/trino-parser/src/main/java/io/trino/sql/SqlFormatter.java
@@ -187,13 +187,6 @@ private static String formatExpression(Expression expression)
         return ExpressionFormatter.formatExpression(expression);
     }
 
-    /**
-     * @deprecated Use {@link #formatName(Identifier)} instead.
-     */
-    @Deprecated
-    @SuppressWarnings("unused")
-    private static void formatExpression(Identifier identifier) {}
-
     private static class Formatter
             extends AstVisitor<Void, Integer>
     {