diff --git a/src/naive/datetime/mod.rs b/src/naive/datetime/mod.rs
index efcff63625..24c3a0d270 100644
--- a/src/naive/datetime/mod.rs
+++ b/src/naive/datetime/mod.rs
@@ -706,7 +706,7 @@ impl NaiveDateTime {
     ///
     /// let hmsm = |h, m, s, milli| d.and_hms_milli_opt(h, m, s, milli).unwrap();
     /// assert_eq!(
-    ///     hmsm(3, 5, 7, 980).checked_add_signed(TimeDelta::milliseconds(450)),
+    ///     hmsm(3, 5, 7, 980).checked_add_signed(TimeDelta::try_milliseconds(450).unwrap()),
     ///     Some(hmsm(3, 5, 8, 430))
     /// );
     /// ```
@@ -729,11 +729,11 @@ impl NaiveDateTime {
     /// let leap = hmsm(3, 5, 59, 1_300);
     /// assert_eq!(leap.checked_add_signed(TimeDelta::zero()),
     ///            Some(hmsm(3, 5, 59, 1_300)));
-    /// assert_eq!(leap.checked_add_signed(TimeDelta::milliseconds(-500)),
+    /// assert_eq!(leap.checked_add_signed(TimeDelta::try_milliseconds(-500).unwrap()),
     ///            Some(hmsm(3, 5, 59, 800)));
-    /// assert_eq!(leap.checked_add_signed(TimeDelta::milliseconds(500)),
+    /// assert_eq!(leap.checked_add_signed(TimeDelta::try_milliseconds(500).unwrap()),
     ///            Some(hmsm(3, 5, 59, 1_800)));
-    /// assert_eq!(leap.checked_add_signed(TimeDelta::milliseconds(800)),
+    /// assert_eq!(leap.checked_add_signed(TimeDelta::try_milliseconds(800).unwrap()),
     ///            Some(hmsm(3, 6, 0, 100)));
     /// assert_eq!(leap.checked_add_signed(TimeDelta::try_seconds(10).unwrap()),
     ///            Some(hmsm(3, 6, 9, 300)));
@@ -890,7 +890,7 @@ impl NaiveDateTime {
     ///
     /// let hmsm = |h, m, s, milli| d.and_hms_milli_opt(h, m, s, milli).unwrap();
     /// assert_eq!(
-    ///     hmsm(3, 5, 7, 450).checked_sub_signed(TimeDelta::milliseconds(670)),
+    ///     hmsm(3, 5, 7, 450).checked_sub_signed(TimeDelta::try_milliseconds(670).unwrap()),
     ///     Some(hmsm(3, 5, 6, 780))
     /// );
     /// ```
@@ -913,9 +913,9 @@ impl NaiveDateTime {
     /// let leap = hmsm(3, 5, 59, 1_300);
     /// assert_eq!(leap.checked_sub_signed(TimeDelta::zero()),
     ///            Some(hmsm(3, 5, 59, 1_300)));
-    /// assert_eq!(leap.checked_sub_signed(TimeDelta::milliseconds(200)),
+    /// assert_eq!(leap.checked_sub_signed(TimeDelta::try_milliseconds(200).unwrap()),
     ///            Some(hmsm(3, 5, 59, 1_100)));
-    /// assert_eq!(leap.checked_sub_signed(TimeDelta::milliseconds(500)),
+    /// assert_eq!(leap.checked_sub_signed(TimeDelta::try_milliseconds(500).unwrap()),
     ///            Some(hmsm(3, 5, 59, 800)));
     /// assert_eq!(leap.checked_sub_signed(TimeDelta::try_seconds(60).unwrap()),
     ///            Some(hmsm(3, 5, 0, 300)));
@@ -1010,7 +1010,8 @@ impl NaiveDateTime {
     ///     d.and_hms_milli_opt(0, 7, 6, 500)
     ///         .unwrap()
     ///         .signed_duration_since(d0.and_hms_opt(0, 0, 0).unwrap()),
-    ///     TimeDelta::try_seconds(189 * 86_400 + 7 * 60 + 6).unwrap() + TimeDelta::milliseconds(500)
+    ///     TimeDelta::try_seconds(189 * 86_400 + 7 * 60 + 6).unwrap()
+    ///         + TimeDelta::try_milliseconds(500).unwrap()
     /// );
     /// ```
     ///
@@ -1023,11 +1024,11 @@ impl NaiveDateTime {
     /// let leap = from_ymd(2015, 6, 30).and_hms_milli_opt(23, 59, 59, 1_500).unwrap();
     /// assert_eq!(
     ///     leap.signed_duration_since(from_ymd(2015, 6, 30).and_hms_opt(23, 0, 0).unwrap()),
-    ///     TimeDelta::try_seconds(3600).unwrap() + TimeDelta::milliseconds(500)
+    ///     TimeDelta::try_seconds(3600).unwrap() + TimeDelta::try_milliseconds(500).unwrap()
     /// );
     /// assert_eq!(
     ///     from_ymd(2015, 7, 1).and_hms_opt(1, 0, 0).unwrap().signed_duration_since(leap),
-    ///     TimeDelta::try_seconds(3600).unwrap() - TimeDelta::milliseconds(500)
+    ///     TimeDelta::try_seconds(3600).unwrap() - TimeDelta::try_milliseconds(500).unwrap()
     /// );
     /// ```
     #[must_use]
@@ -1813,7 +1814,7 @@ impl Timelike for NaiveDateTime {
 /// );
 ///
 /// let hmsm = |h, m, s, milli| d.and_hms_milli_opt(h, m, s, milli).unwrap();
-/// assert_eq!(hmsm(3, 5, 7, 980) + TimeDelta::milliseconds(450), hmsm(3, 5, 8, 430));
+/// assert_eq!(hmsm(3, 5, 7, 980) + TimeDelta::try_milliseconds(450).unwrap(), hmsm(3, 5, 8, 430));
 /// ```
 ///
 /// Leap seconds are handled,
@@ -1825,9 +1826,9 @@ impl Timelike for NaiveDateTime {
 /// # let hmsm = |h, m, s, milli| from_ymd(2016, 7, 8).and_hms_milli_opt(h, m, s, milli).unwrap();
 /// let leap = hmsm(3, 5, 59, 1_300);
 /// assert_eq!(leap + TimeDelta::zero(), hmsm(3, 5, 59, 1_300));
-/// assert_eq!(leap + TimeDelta::milliseconds(-500), hmsm(3, 5, 59, 800));
-/// assert_eq!(leap + TimeDelta::milliseconds(500), hmsm(3, 5, 59, 1_800));
-/// assert_eq!(leap + TimeDelta::milliseconds(800), hmsm(3, 6, 0, 100));
+/// assert_eq!(leap + TimeDelta::try_milliseconds(-500).unwrap(), hmsm(3, 5, 59, 800));
+/// assert_eq!(leap + TimeDelta::try_milliseconds(500).unwrap(), hmsm(3, 5, 59, 1_800));
+/// assert_eq!(leap + TimeDelta::try_milliseconds(800).unwrap(), hmsm(3, 6, 0, 100));
 /// assert_eq!(leap + TimeDelta::try_seconds(10).unwrap(), hmsm(3, 6, 9, 300));
 /// assert_eq!(leap + TimeDelta::try_seconds(-10).unwrap(), hmsm(3, 5, 50, 300));
 /// assert_eq!(leap + TimeDelta::try_days(1).unwrap(),
@@ -2003,7 +2004,7 @@ impl Add<Months> for NaiveDateTime {
 /// );
 ///
 /// let hmsm = |h, m, s, milli| d.and_hms_milli_opt(h, m, s, milli).unwrap();
-/// assert_eq!(hmsm(3, 5, 7, 450) - TimeDelta::milliseconds(670), hmsm(3, 5, 6, 780));
+/// assert_eq!(hmsm(3, 5, 7, 450) - TimeDelta::try_milliseconds(670).unwrap(), hmsm(3, 5, 6, 780));
 /// ```
 ///
 /// Leap seconds are handled,
@@ -2015,8 +2016,8 @@ impl Add<Months> for NaiveDateTime {
 /// # let hmsm = |h, m, s, milli| from_ymd(2016, 7, 8).and_hms_milli_opt(h, m, s, milli).unwrap();
 /// let leap = hmsm(3, 5, 59, 1_300);
 /// assert_eq!(leap - TimeDelta::zero(), hmsm(3, 5, 59, 1_300));
-/// assert_eq!(leap - TimeDelta::milliseconds(200), hmsm(3, 5, 59, 1_100));
-/// assert_eq!(leap - TimeDelta::milliseconds(500), hmsm(3, 5, 59, 800));
+/// assert_eq!(leap - TimeDelta::try_milliseconds(200).unwrap(), hmsm(3, 5, 59, 1_100));
+/// assert_eq!(leap - TimeDelta::try_milliseconds(500).unwrap(), hmsm(3, 5, 59, 800));
 /// assert_eq!(leap - TimeDelta::try_seconds(60).unwrap(), hmsm(3, 5, 0, 300));
 /// assert_eq!(leap - TimeDelta::try_days(1).unwrap(),
 ///            from_ymd(2016, 7, 7).and_hms_milli_opt(3, 6, 0, 300).unwrap());
@@ -2171,7 +2172,8 @@ impl Sub<Months> for NaiveDateTime {
 /// let d0 = from_ymd(2016, 1, 1);
 /// assert_eq!(
 ///     d.and_hms_milli_opt(0, 7, 6, 500).unwrap() - d0.and_hms_opt(0, 0, 0).unwrap(),
-///     TimeDelta::try_seconds(189 * 86_400 + 7 * 60 + 6).unwrap() + TimeDelta::milliseconds(500)
+///     TimeDelta::try_seconds(189 * 86_400 + 7 * 60 + 6).unwrap()
+///         + TimeDelta::try_milliseconds(500).unwrap()
 /// );
 /// ```
 ///
@@ -2184,11 +2186,11 @@ impl Sub<Months> for NaiveDateTime {
 /// let leap = from_ymd(2015, 6, 30).and_hms_milli_opt(23, 59, 59, 1_500).unwrap();
 /// assert_eq!(
 ///     leap - from_ymd(2015, 6, 30).and_hms_opt(23, 0, 0).unwrap(),
-///     TimeDelta::try_seconds(3600).unwrap() + TimeDelta::milliseconds(500)
+///     TimeDelta::try_seconds(3600).unwrap() + TimeDelta::try_milliseconds(500).unwrap()
 /// );
 /// assert_eq!(
 ///     from_ymd(2015, 7, 1).and_hms_opt(1, 0, 0).unwrap() - leap,
-///     TimeDelta::try_seconds(3600).unwrap() - TimeDelta::milliseconds(500)
+///     TimeDelta::try_seconds(3600).unwrap() - TimeDelta::try_milliseconds(500).unwrap()
 /// );
 /// ```
 impl Sub<NaiveDateTime> for NaiveDateTime {
diff --git a/src/naive/datetime/tests.rs b/src/naive/datetime/tests.rs
index 5ca259f971..f4fbe757fb 100644
--- a/src/naive/datetime/tests.rs
+++ b/src/naive/datetime/tests.rs
@@ -446,7 +446,7 @@ fn test_nanosecond_range() {
     // Just beyond range
     let maximum = "2262-04-11T23:47:16.854775804";
     let parsed: NaiveDateTime = maximum.parse().unwrap();
-    let beyond_max = parsed + TimeDelta::milliseconds(300);
+    let beyond_max = parsed + TimeDelta::try_milliseconds(300).unwrap();
     assert!(beyond_max.timestamp_nanos_opt().is_none());
 
     // Far beyond range
diff --git a/src/naive/time/mod.rs b/src/naive/time/mod.rs
index 778d415e7b..23b1cb0e55 100644
--- a/src/naive/time/mod.rs
+++ b/src/naive/time/mod.rs
@@ -696,11 +696,11 @@ impl NaiveTime {
     /// assert_eq!(since(from_hmsm(3, 5, 7, 900), from_hmsm(3, 5, 7, 900)), TimeDelta::zero());
     /// assert_eq!(
     ///     since(from_hmsm(3, 5, 7, 900), from_hmsm(3, 5, 7, 875)),
-    ///     TimeDelta::milliseconds(25)
+    ///     TimeDelta::try_milliseconds(25).unwrap()
     /// );
     /// assert_eq!(
     ///     since(from_hmsm(3, 5, 7, 900), from_hmsm(3, 5, 6, 925)),
-    ///     TimeDelta::milliseconds(975)
+    ///     TimeDelta::try_milliseconds(975).unwrap()
     /// );
     /// assert_eq!(
     ///     since(from_hmsm(3, 5, 7, 900), from_hmsm(3, 5, 0, 900)),
@@ -720,7 +720,7 @@ impl NaiveTime {
     /// );
     /// assert_eq!(
     ///     since(from_hmsm(3, 5, 7, 900), from_hmsm(2, 4, 6, 800)),
-    ///     TimeDelta::try_seconds(3600 + 60 + 1).unwrap() + TimeDelta::milliseconds(100)
+    ///     TimeDelta::try_seconds(3600 + 60 + 1).unwrap() + TimeDelta::try_milliseconds(100).unwrap()
     /// );
     /// ```
     ///
@@ -734,7 +734,7 @@ impl NaiveTime {
     /// assert_eq!(since(from_hmsm(3, 0, 59, 1_000), from_hmsm(3, 0, 59, 0)),
     ///            TimeDelta::try_seconds(1).unwrap());
     /// assert_eq!(since(from_hmsm(3, 0, 59, 1_500), from_hmsm(3, 0, 59, 0)),
-    ///            TimeDelta::milliseconds(1500));
+    ///            TimeDelta::try_milliseconds(1500).unwrap());
     /// assert_eq!(since(from_hmsm(3, 0, 59, 1_000), from_hmsm(3, 0, 0, 0)),
     ///            TimeDelta::try_seconds(60).unwrap());
     /// assert_eq!(since(from_hmsm(3, 0, 0, 0), from_hmsm(2, 59, 59, 1_000)),
@@ -1166,9 +1166,18 @@ impl Timelike for NaiveTime {
 ///     from_hmsm(3, 5, 7, 0) + TimeDelta::try_seconds(7 * 60 * 60 - 6 * 60).unwrap(),
 ///     from_hmsm(9, 59, 7, 0)
 /// );
-/// assert_eq!(from_hmsm(3, 5, 7, 0) + TimeDelta::milliseconds(80), from_hmsm(3, 5, 7, 80));
-/// assert_eq!(from_hmsm(3, 5, 7, 950) + TimeDelta::milliseconds(280), from_hmsm(3, 5, 8, 230));
-/// assert_eq!(from_hmsm(3, 5, 7, 950) + TimeDelta::milliseconds(-980), from_hmsm(3, 5, 6, 970));
+/// assert_eq!(
+///     from_hmsm(3, 5, 7, 0) + TimeDelta::try_milliseconds(80).unwrap(),
+///     from_hmsm(3, 5, 7, 80)
+/// );
+/// assert_eq!(
+///     from_hmsm(3, 5, 7, 950) + TimeDelta::try_milliseconds(280).unwrap(),
+///     from_hmsm(3, 5, 8, 230)
+/// );
+/// assert_eq!(
+///     from_hmsm(3, 5, 7, 950) + TimeDelta::try_milliseconds(-980).unwrap(),
+///     from_hmsm(3, 5, 6, 970)
+/// );
 /// ```
 ///
 /// The addition wraps around.
@@ -1188,9 +1197,9 @@ impl Timelike for NaiveTime {
 /// # let from_hmsm = |h, m, s, milli| { NaiveTime::from_hms_milli_opt(h, m, s, milli).unwrap() };
 /// let leap = from_hmsm(3, 5, 59, 1_300);
 /// assert_eq!(leap + TimeDelta::zero(), from_hmsm(3, 5, 59, 1_300));
-/// assert_eq!(leap + TimeDelta::milliseconds(-500), from_hmsm(3, 5, 59, 800));
-/// assert_eq!(leap + TimeDelta::milliseconds(500), from_hmsm(3, 5, 59, 1_800));
-/// assert_eq!(leap + TimeDelta::milliseconds(800), from_hmsm(3, 6, 0, 100));
+/// assert_eq!(leap + TimeDelta::try_milliseconds(-500).unwrap(), from_hmsm(3, 5, 59, 800));
+/// assert_eq!(leap + TimeDelta::try_milliseconds(500).unwrap(), from_hmsm(3, 5, 59, 1_800));
+/// assert_eq!(leap + TimeDelta::try_milliseconds(800).unwrap(), from_hmsm(3, 6, 0, 100));
 /// assert_eq!(leap + TimeDelta::try_seconds(10).unwrap(), from_hmsm(3, 6, 9, 300));
 /// assert_eq!(leap + TimeDelta::try_seconds(-10).unwrap(), from_hmsm(3, 5, 50, 300));
 /// assert_eq!(leap + TimeDelta::try_days(1).unwrap(), from_hmsm(3, 5, 59, 300));
@@ -1286,8 +1295,14 @@ impl Add<FixedOffset> for NaiveTime {
 ///     from_hmsm(3, 5, 7, 0) - TimeDelta::try_seconds(2 * 60 * 60 + 6 * 60).unwrap(),
 ///     from_hmsm(0, 59, 7, 0)
 /// );
-/// assert_eq!(from_hmsm(3, 5, 7, 0) - TimeDelta::milliseconds(80), from_hmsm(3, 5, 6, 920));
-/// assert_eq!(from_hmsm(3, 5, 7, 950) - TimeDelta::milliseconds(280), from_hmsm(3, 5, 7, 670));
+/// assert_eq!(
+///     from_hmsm(3, 5, 7, 0) - TimeDelta::try_milliseconds(80).unwrap(),
+///     from_hmsm(3, 5, 6, 920)
+/// );
+/// assert_eq!(
+///     from_hmsm(3, 5, 7, 950) - TimeDelta::try_milliseconds(280).unwrap(),
+///     from_hmsm(3, 5, 7, 670)
+/// );
 /// ```
 ///
 /// The subtraction wraps around.
@@ -1306,8 +1321,8 @@ impl Add<FixedOffset> for NaiveTime {
 /// # let from_hmsm = |h, m, s, milli| { NaiveTime::from_hms_milli_opt(h, m, s, milli).unwrap() };
 /// let leap = from_hmsm(3, 5, 59, 1_300);
 /// assert_eq!(leap - TimeDelta::zero(), from_hmsm(3, 5, 59, 1_300));
-/// assert_eq!(leap - TimeDelta::milliseconds(200), from_hmsm(3, 5, 59, 1_100));
-/// assert_eq!(leap - TimeDelta::milliseconds(500), from_hmsm(3, 5, 59, 800));
+/// assert_eq!(leap - TimeDelta::try_milliseconds(200).unwrap(), from_hmsm(3, 5, 59, 1_100));
+/// assert_eq!(leap - TimeDelta::try_milliseconds(500).unwrap(), from_hmsm(3, 5, 59, 800));
 /// assert_eq!(leap - TimeDelta::try_seconds(60).unwrap(), from_hmsm(3, 5, 0, 300));
 /// assert_eq!(leap - TimeDelta::try_days(1).unwrap(), from_hmsm(3, 6, 0, 300));
 /// ```
@@ -1396,8 +1411,14 @@ impl Sub<FixedOffset> for NaiveTime {
 /// let from_hmsm = |h, m, s, milli| NaiveTime::from_hms_milli_opt(h, m, s, milli).unwrap();
 ///
 /// assert_eq!(from_hmsm(3, 5, 7, 900) - from_hmsm(3, 5, 7, 900), TimeDelta::zero());
-/// assert_eq!(from_hmsm(3, 5, 7, 900) - from_hmsm(3, 5, 7, 875), TimeDelta::milliseconds(25));
-/// assert_eq!(from_hmsm(3, 5, 7, 900) - from_hmsm(3, 5, 6, 925), TimeDelta::milliseconds(975));
+/// assert_eq!(
+///     from_hmsm(3, 5, 7, 900) - from_hmsm(3, 5, 7, 875),
+///     TimeDelta::try_milliseconds(25).unwrap()
+/// );
+/// assert_eq!(
+///     from_hmsm(3, 5, 7, 900) - from_hmsm(3, 5, 6, 925),
+///     TimeDelta::try_milliseconds(975).unwrap()
+/// );
 /// assert_eq!(
 ///     from_hmsm(3, 5, 7, 900) - from_hmsm(3, 5, 0, 900),
 ///     TimeDelta::try_seconds(7).unwrap()
@@ -1416,7 +1437,7 @@ impl Sub<FixedOffset> for NaiveTime {
 /// );
 /// assert_eq!(
 ///     from_hmsm(3, 5, 7, 900) - from_hmsm(2, 4, 6, 800),
-///     TimeDelta::try_seconds(3600 + 60 + 1).unwrap() + TimeDelta::milliseconds(100)
+///     TimeDelta::try_seconds(3600 + 60 + 1).unwrap() + TimeDelta::try_milliseconds(100).unwrap()
 /// );
 /// ```
 ///
@@ -1428,7 +1449,7 @@ impl Sub<FixedOffset> for NaiveTime {
 /// # let from_hmsm = |h, m, s, milli| { NaiveTime::from_hms_milli_opt(h, m, s, milli).unwrap() };
 /// assert_eq!(from_hmsm(3, 0, 59, 1_000) - from_hmsm(3, 0, 59, 0), TimeDelta::try_seconds(1).unwrap());
 /// assert_eq!(from_hmsm(3, 0, 59, 1_500) - from_hmsm(3, 0, 59, 0),
-///            TimeDelta::milliseconds(1500));
+///            TimeDelta::try_milliseconds(1500).unwrap());
 /// assert_eq!(from_hmsm(3, 0, 59, 1_000) - from_hmsm(3, 0, 0, 0), TimeDelta::try_seconds(60).unwrap());
 /// assert_eq!(from_hmsm(3, 0, 0, 0) - from_hmsm(2, 59, 59, 1_000), TimeDelta::try_seconds(1).unwrap());
 /// assert_eq!(from_hmsm(3, 0, 59, 1_000) - from_hmsm(2, 59, 59, 1_000),
diff --git a/src/naive/time/tests.rs b/src/naive/time/tests.rs
index 6ecdaed94e..a8754aebd6 100644
--- a/src/naive/time/tests.rs
+++ b/src/naive/time/tests.rs
@@ -94,13 +94,17 @@ fn test_time_add() {
     let hmsm = |h, m, s, ms| NaiveTime::from_hms_milli_opt(h, m, s, ms).unwrap();
 
     check!(hmsm(3, 5, 59, 900), TimeDelta::zero(), hmsm(3, 5, 59, 900));
-    check!(hmsm(3, 5, 59, 900), TimeDelta::milliseconds(100), hmsm(3, 6, 0, 0));
-    check!(hmsm(3, 5, 59, 1_300), TimeDelta::milliseconds(-1800), hmsm(3, 5, 58, 500));
-    check!(hmsm(3, 5, 59, 1_300), TimeDelta::milliseconds(-800), hmsm(3, 5, 59, 500));
-    check!(hmsm(3, 5, 59, 1_300), TimeDelta::milliseconds(-100), hmsm(3, 5, 59, 1_200));
-    check!(hmsm(3, 5, 59, 1_300), TimeDelta::milliseconds(100), hmsm(3, 5, 59, 1_400));
-    check!(hmsm(3, 5, 59, 1_300), TimeDelta::milliseconds(800), hmsm(3, 6, 0, 100));
-    check!(hmsm(3, 5, 59, 1_300), TimeDelta::milliseconds(1800), hmsm(3, 6, 1, 100));
+    check!(hmsm(3, 5, 59, 900), TimeDelta::try_milliseconds(100).unwrap(), hmsm(3, 6, 0, 0));
+    check!(hmsm(3, 5, 59, 1_300), TimeDelta::try_milliseconds(-1800).unwrap(), hmsm(3, 5, 58, 500));
+    check!(hmsm(3, 5, 59, 1_300), TimeDelta::try_milliseconds(-800).unwrap(), hmsm(3, 5, 59, 500));
+    check!(
+        hmsm(3, 5, 59, 1_300),
+        TimeDelta::try_milliseconds(-100).unwrap(),
+        hmsm(3, 5, 59, 1_200)
+    );
+    check!(hmsm(3, 5, 59, 1_300), TimeDelta::try_milliseconds(100).unwrap(), hmsm(3, 5, 59, 1_400));
+    check!(hmsm(3, 5, 59, 1_300), TimeDelta::try_milliseconds(800).unwrap(), hmsm(3, 6, 0, 100));
+    check!(hmsm(3, 5, 59, 1_300), TimeDelta::try_milliseconds(1800).unwrap(), hmsm(3, 6, 1, 100));
     check!(hmsm(3, 5, 59, 900), TimeDelta::try_seconds(86399).unwrap(), hmsm(3, 5, 58, 900)); // overwrap
     check!(hmsm(3, 5, 59, 900), TimeDelta::try_seconds(-86399).unwrap(), hmsm(3, 6, 0, 900));
     check!(hmsm(3, 5, 59, 900), TimeDelta::try_days(12345).unwrap(), hmsm(3, 5, 59, 900));
@@ -108,8 +112,8 @@ fn test_time_add() {
     check!(hmsm(3, 5, 59, 1_300), TimeDelta::try_days(-1).unwrap(), hmsm(3, 6, 0, 300));
 
     // regression tests for #37
-    check!(hmsm(0, 0, 0, 0), TimeDelta::milliseconds(-990), hmsm(23, 59, 59, 10));
-    check!(hmsm(0, 0, 0, 0), TimeDelta::milliseconds(-9990), hmsm(23, 59, 50, 10));
+    check!(hmsm(0, 0, 0, 0), TimeDelta::try_milliseconds(-990).unwrap(), hmsm(23, 59, 59, 10));
+    check!(hmsm(0, 0, 0, 0), TimeDelta::try_milliseconds(-9990).unwrap(), hmsm(23, 59, 50, 10));
 }
 
 #[test]
@@ -173,24 +177,24 @@ fn test_time_sub() {
     let hmsm = |h, m, s, ms| NaiveTime::from_hms_milli_opt(h, m, s, ms).unwrap();
 
     check!(hmsm(3, 5, 7, 900), hmsm(3, 5, 7, 900), TimeDelta::zero());
-    check!(hmsm(3, 5, 7, 900), hmsm(3, 5, 7, 600), TimeDelta::milliseconds(300));
+    check!(hmsm(3, 5, 7, 900), hmsm(3, 5, 7, 600), TimeDelta::try_milliseconds(300).unwrap());
     check!(hmsm(3, 5, 7, 200), hmsm(2, 4, 6, 200), TimeDelta::try_seconds(3600 + 60 + 1).unwrap());
     check!(
         hmsm(3, 5, 7, 200),
         hmsm(2, 4, 6, 300),
-        TimeDelta::try_seconds(3600 + 60).unwrap() + TimeDelta::milliseconds(900)
+        TimeDelta::try_seconds(3600 + 60).unwrap() + TimeDelta::try_milliseconds(900).unwrap()
     );
 
     // treats the leap second as if it coincides with the prior non-leap second,
     // as required by `time1 - time2 = duration` and `time2 - time1 = -duration` equivalence.
-    check!(hmsm(3, 6, 0, 200), hmsm(3, 5, 59, 1_800), TimeDelta::milliseconds(400));
-    //check!(hmsm(3, 5, 7, 1_200), hmsm(3, 5, 6, 1_800), TimeDelta::milliseconds(1400));
-    //check!(hmsm(3, 5, 7, 1_200), hmsm(3, 5, 6, 800), TimeDelta::milliseconds(1400));
+    check!(hmsm(3, 6, 0, 200), hmsm(3, 5, 59, 1_800), TimeDelta::try_milliseconds(400).unwrap());
+    //check!(hmsm(3, 5, 7, 1_200), hmsm(3, 5, 6, 1_800), TimeDelta::try_milliseconds(1400).unwrap());
+    //check!(hmsm(3, 5, 7, 1_200), hmsm(3, 5, 6, 800), TimeDelta::try_milliseconds(1400).unwrap());
 
     // additional equality: `time1 + duration = time2` is equivalent to
     // `time2 - time1 = duration` IF AND ONLY IF `time2` represents a non-leap second.
-    assert_eq!(hmsm(3, 5, 6, 800) + TimeDelta::milliseconds(400), hmsm(3, 5, 7, 200));
-    //assert_eq!(hmsm(3, 5, 6, 1_800) + TimeDelta::milliseconds(400), hmsm(3, 5, 7, 200));
+    assert_eq!(hmsm(3, 5, 6, 800) + TimeDelta::try_milliseconds(400).unwrap(), hmsm(3, 5, 7, 200));
+    //assert_eq!(hmsm(3, 5, 6, 1_800) + TimeDelta::try_milliseconds(400).unwrap(), hmsm(3, 5, 7, 200));
 }
 
 #[test]
diff --git a/src/round.rs b/src/round.rs
index f707d5e0a0..865025ebf5 100644
--- a/src/round.rs
+++ b/src/round.rs
@@ -127,7 +127,7 @@ pub trait DurationRound: Sized {
     ///     .and_local_timezone(Utc)
     ///     .unwrap();
     /// assert_eq!(
-    ///     dt.duration_round(TimeDelta::milliseconds(10)).unwrap().to_string(),
+    ///     dt.duration_round(TimeDelta::try_milliseconds(10).unwrap()).unwrap().to_string(),
     ///     "2018-01-11 12:00:00.150 UTC"
     /// );
     /// assert_eq!(
@@ -149,7 +149,7 @@ pub trait DurationRound: Sized {
     ///     .and_local_timezone(Utc)
     ///     .unwrap();
     /// assert_eq!(
-    ///     dt.duration_trunc(TimeDelta::milliseconds(10)).unwrap().to_string(),
+    ///     dt.duration_trunc(TimeDelta::try_milliseconds(10).unwrap()).unwrap().to_string(),
     ///     "2018-01-11 12:00:00.150 UTC"
     /// );
     /// assert_eq!(
@@ -462,7 +462,7 @@ mod tests {
         );
 
         assert_eq!(
-            dt.duration_round(TimeDelta::milliseconds(10)).unwrap().to_string(),
+            dt.duration_round(TimeDelta::try_milliseconds(10).unwrap()).unwrap().to_string(),
             "2016-12-31 23:59:59.180 UTC"
         );
 
@@ -553,7 +553,7 @@ mod tests {
         );
 
         assert_eq!(
-            dt.duration_round(TimeDelta::milliseconds(10)).unwrap().to_string(),
+            dt.duration_round(TimeDelta::try_milliseconds(10).unwrap()).unwrap().to_string(),
             "2016-12-31 23:59:59.180"
         );
 
@@ -625,7 +625,7 @@ mod tests {
             .unwrap();
 
         assert_eq!(
-            dt.duration_trunc(TimeDelta::milliseconds(10)).unwrap().to_string(),
+            dt.duration_trunc(TimeDelta::try_milliseconds(10).unwrap()).unwrap().to_string(),
             "2016-12-31 23:59:59.170 UTC"
         );
 
@@ -710,7 +710,7 @@ mod tests {
             .naive_utc();
 
         assert_eq!(
-            dt.duration_trunc(TimeDelta::milliseconds(10)).unwrap().to_string(),
+            dt.duration_trunc(TimeDelta::try_milliseconds(10).unwrap()).unwrap().to_string(),
             "2016-12-31 23:59:59.170"
         );
 
diff --git a/src/time_delta.rs b/src/time_delta.rs
index 1258c475cc..b279995e25 100644
--- a/src/time_delta.rs
+++ b/src/time_delta.rs
@@ -227,6 +227,7 @@ impl TimeDelta {
     /// Panics when the `TimeDelta` would be out of bounds, i.e. when `milliseconds` is more than
     /// `i64::MAX` or less than `-i64::MAX`. Notably, this is not the same as `i64::MIN`.
     #[inline]
+    #[deprecated]
     pub const fn milliseconds(milliseconds: i64) -> TimeDelta {
         expect!(TimeDelta::try_milliseconds(milliseconds), "TimeDelta::milliseconds out of bounds")
     }
@@ -660,10 +661,10 @@ mod tests {
         assert_eq!(TimeDelta::zero().num_seconds(), 0);
         assert_eq!(TimeDelta::try_seconds(1).unwrap().num_seconds(), 1);
         assert_eq!(TimeDelta::try_seconds(-1).unwrap().num_seconds(), -1);
-        assert_eq!(TimeDelta::milliseconds(999).num_seconds(), 0);
-        assert_eq!(TimeDelta::milliseconds(1001).num_seconds(), 1);
-        assert_eq!(TimeDelta::milliseconds(-999).num_seconds(), 0);
-        assert_eq!(TimeDelta::milliseconds(-1001).num_seconds(), -1);
+        assert_eq!(TimeDelta::try_milliseconds(999).unwrap().num_seconds(), 0);
+        assert_eq!(TimeDelta::try_milliseconds(1001).unwrap().num_seconds(), 1);
+        assert_eq!(TimeDelta::try_milliseconds(-999).unwrap().num_seconds(), 0);
+        assert_eq!(TimeDelta::try_milliseconds(-1001).unwrap().num_seconds(), -1);
     }
 
     #[test]
@@ -711,8 +712,8 @@ mod tests {
     #[test]
     fn test_duration_num_milliseconds() {
         assert_eq!(TimeDelta::zero().num_milliseconds(), 0);
-        assert_eq!(TimeDelta::milliseconds(1).num_milliseconds(), 1);
-        assert_eq!(TimeDelta::milliseconds(-1).num_milliseconds(), -1);
+        assert_eq!(TimeDelta::try_milliseconds(1).unwrap().num_milliseconds(), 1);
+        assert_eq!(TimeDelta::try_milliseconds(-1).unwrap().num_milliseconds(), -1);
         assert_eq!(TimeDelta::microseconds(999).num_milliseconds(), 0);
         assert_eq!(TimeDelta::microseconds(1001).num_milliseconds(), 1);
         assert_eq!(TimeDelta::microseconds(-999).num_milliseconds(), 0);
@@ -723,7 +724,7 @@ mod tests {
     fn test_duration_milliseconds_max_allowed() {
         // The maximum number of milliseconds acceptable through the constructor is
         // equal to the number that can be stored in a TimeDelta.
-        let duration = TimeDelta::milliseconds(i64::MAX);
+        let duration = TimeDelta::try_milliseconds(i64::MAX).unwrap();
         assert_eq!(duration.num_milliseconds(), i64::MAX);
         assert_eq!(
             duration.secs as i128 * 1_000_000_000 + duration.nanos as i128,
@@ -735,8 +736,9 @@ mod tests {
     fn test_duration_milliseconds_max_overflow() {
         // Here we ensure that trying to add one millisecond to the maximum storable
         // value will fail.
-        assert!(TimeDelta::milliseconds(i64::MAX)
-            .checked_add(&TimeDelta::milliseconds(1))
+        assert!(TimeDelta::try_milliseconds(i64::MAX)
+            .unwrap()
+            .checked_add(&TimeDelta::try_milliseconds(1).unwrap())
             .is_none());
     }
 
@@ -745,7 +747,7 @@ mod tests {
         // The minimum number of milliseconds acceptable through the constructor is
         // not equal to the number that can be stored in a TimeDelta - there is a
         // difference of one (i64::MIN vs -i64::MAX).
-        let duration = TimeDelta::milliseconds(-i64::MAX);
+        let duration = TimeDelta::try_milliseconds(-i64::MAX).unwrap();
         assert_eq!(duration.num_milliseconds(), -i64::MAX);
         assert_eq!(
             duration.secs as i128 * 1_000_000_000 + duration.nanos as i128,
@@ -757,8 +759,9 @@ mod tests {
     fn test_duration_milliseconds_min_underflow() {
         // Here we ensure that trying to subtract one millisecond from the minimum
         // storable value will fail.
-        assert!(TimeDelta::milliseconds(-i64::MAX)
-            .checked_sub(&TimeDelta::milliseconds(1))
+        assert!(TimeDelta::try_milliseconds(-i64::MAX)
+            .unwrap()
+            .checked_sub(&TimeDelta::try_milliseconds(1).unwrap())
             .is_none());
     }
 
@@ -816,7 +819,7 @@ mod tests {
         // microseconds by creating a TimeDelta with the maximum number of
         // milliseconds and then checking that the number of microseconds matches
         // the storage limit.
-        let duration = TimeDelta::milliseconds(i64::MAX);
+        let duration = TimeDelta::try_milliseconds(i64::MAX).unwrap();
         assert!(duration.num_microseconds().is_none());
         assert_eq!(
             duration.secs as i128 * 1_000_000_000 + duration.nanos as i128,
@@ -835,7 +838,8 @@ mod tests {
         );
         // Here we ensure that trying to add one microsecond to the maximum storable
         // value will fail.
-        assert!(TimeDelta::milliseconds(i64::MAX)
+        assert!(TimeDelta::try_milliseconds(i64::MAX)
+            .unwrap()
             .checked_add(&TimeDelta::microseconds(1))
             .is_none());
     }
@@ -854,7 +858,7 @@ mod tests {
         // microseconds by creating a TimeDelta with the minimum number of
         // milliseconds and then checking that the number of microseconds matches
         // the storage limit.
-        let duration = TimeDelta::milliseconds(-i64::MAX);
+        let duration = TimeDelta::try_milliseconds(-i64::MAX).unwrap();
         assert!(duration.num_microseconds().is_none());
         assert_eq!(
             duration.secs as i128 * 1_000_000_000 + duration.nanos as i128,
@@ -873,7 +877,8 @@ mod tests {
         );
         // Here we ensure that trying to subtract one microsecond from the minimum
         // storable value will fail.
-        assert!(TimeDelta::milliseconds(-i64::MAX)
+        assert!(TimeDelta::try_milliseconds(-i64::MAX)
+            .unwrap()
             .checked_sub(&TimeDelta::microseconds(1))
             .is_none());
     }
@@ -917,7 +922,7 @@ mod tests {
         // Here we create a TimeDelta with the maximum possible number of nanoseconds
         // by creating a TimeDelta with the maximum number of milliseconds and then
         // checking that the number of nanoseconds matches the storage limit.
-        let duration = TimeDelta::milliseconds(i64::MAX);
+        let duration = TimeDelta::try_milliseconds(i64::MAX).unwrap();
         assert!(duration.num_nanoseconds().is_none());
         assert_eq!(
             duration.secs as i128 * 1_000_000_000 + duration.nanos as i128,
@@ -937,7 +942,8 @@ mod tests {
         );
         // Here we ensure that trying to add one nanosecond to the maximum storable
         // value will fail.
-        assert!(TimeDelta::milliseconds(i64::MAX)
+        assert!(TimeDelta::try_milliseconds(i64::MAX)
+            .unwrap()
             .checked_add(&TimeDelta::nanoseconds(1))
             .is_none());
     }
@@ -956,7 +962,7 @@ mod tests {
         // Here we create a TimeDelta with the minimum possible number of nanoseconds
         // by creating a TimeDelta with the minimum number of milliseconds and then
         // checking that the number of nanoseconds matches the storage limit.
-        let duration = TimeDelta::milliseconds(-i64::MAX);
+        let duration = TimeDelta::try_milliseconds(-i64::MAX).unwrap();
         assert!(duration.num_nanoseconds().is_none());
         assert_eq!(
             duration.secs as i128 * 1_000_000_000 + duration.nanos as i128,
@@ -976,7 +982,8 @@ mod tests {
         );
         // Here we ensure that trying to subtract one nanosecond from the minimum
         // storable value will fail.
-        assert!(TimeDelta::milliseconds(-i64::MAX)
+        assert!(TimeDelta::try_milliseconds(-i64::MAX)
+            .unwrap()
             .checked_sub(&TimeDelta::nanoseconds(1))
             .is_none());
     }
@@ -987,7 +994,7 @@ mod tests {
             MAX.secs as i128 * 1_000_000_000 + MAX.nanos as i128,
             i64::MAX as i128 * 1_000_000
         );
-        assert_eq!(MAX, TimeDelta::milliseconds(i64::MAX));
+        assert_eq!(MAX, TimeDelta::try_milliseconds(i64::MAX).unwrap());
         assert_eq!(MAX.num_milliseconds(), i64::MAX);
         assert_eq!(MAX.num_microseconds(), None);
         assert_eq!(MAX.num_nanoseconds(), None);
@@ -999,7 +1006,7 @@ mod tests {
             MIN.secs as i128 * 1_000_000_000 + MIN.nanos as i128,
             -i64::MAX as i128 * 1_000_000
         );
-        assert_eq!(MIN, TimeDelta::milliseconds(-i64::MAX));
+        assert_eq!(MIN, TimeDelta::try_milliseconds(-i64::MAX).unwrap());
         assert_eq!(MIN.num_milliseconds(), -i64::MAX);
         assert_eq!(MIN.num_microseconds(), None);
         assert_eq!(MIN.num_nanoseconds(), None);
@@ -1007,67 +1014,65 @@ mod tests {
 
     #[test]
     fn test_duration_ord() {
-        assert!(TimeDelta::milliseconds(1) < TimeDelta::milliseconds(2));
-        assert!(TimeDelta::milliseconds(2) > TimeDelta::milliseconds(1));
-        assert!(TimeDelta::milliseconds(-1) > TimeDelta::milliseconds(-2));
-        assert!(TimeDelta::milliseconds(-2) < TimeDelta::milliseconds(-1));
-        assert!(TimeDelta::milliseconds(-1) < TimeDelta::milliseconds(1));
-        assert!(TimeDelta::milliseconds(1) > TimeDelta::milliseconds(-1));
-        assert!(TimeDelta::milliseconds(0) < TimeDelta::milliseconds(1));
-        assert!(TimeDelta::milliseconds(0) > TimeDelta::milliseconds(-1));
-        assert!(TimeDelta::milliseconds(1_001) < TimeDelta::milliseconds(1_002));
-        assert!(TimeDelta::milliseconds(-1_001) > TimeDelta::milliseconds(-1_002));
+        let milliseconds = |ms| TimeDelta::try_milliseconds(ms).unwrap();
+
+        assert!(milliseconds(1) < milliseconds(2));
+        assert!(milliseconds(2) > milliseconds(1));
+        assert!(milliseconds(-1) > milliseconds(-2));
+        assert!(milliseconds(-2) < milliseconds(-1));
+        assert!(milliseconds(-1) < milliseconds(1));
+        assert!(milliseconds(1) > milliseconds(-1));
+        assert!(milliseconds(0) < milliseconds(1));
+        assert!(milliseconds(0) > milliseconds(-1));
+        assert!(milliseconds(1_001) < milliseconds(1_002));
+        assert!(milliseconds(-1_001) > milliseconds(-1_002));
         assert!(TimeDelta::nanoseconds(1_234_567_890) < TimeDelta::nanoseconds(1_234_567_891));
         assert!(TimeDelta::nanoseconds(-1_234_567_890) > TimeDelta::nanoseconds(-1_234_567_891));
-        assert!(TimeDelta::milliseconds(i64::MAX) > TimeDelta::milliseconds(i64::MAX - 1));
-        assert!(TimeDelta::milliseconds(-i64::MAX) < TimeDelta::milliseconds(-i64::MAX + 1));
+        assert!(milliseconds(i64::MAX) > milliseconds(i64::MAX - 1));
+        assert!(milliseconds(-i64::MAX) < milliseconds(-i64::MAX + 1));
     }
 
     #[test]
     fn test_duration_checked_ops() {
+        let milliseconds = |ms| TimeDelta::try_milliseconds(ms).unwrap();
+
         assert_eq!(
-            TimeDelta::milliseconds(i64::MAX).checked_add(&TimeDelta::milliseconds(0)),
-            Some(TimeDelta::milliseconds(i64::MAX))
+            milliseconds(i64::MAX).checked_add(&milliseconds(0)),
+            Some(milliseconds(i64::MAX))
         );
         assert_eq!(
-            TimeDelta::milliseconds(i64::MAX - 1).checked_add(&TimeDelta::microseconds(999)),
-            Some(TimeDelta::milliseconds(i64::MAX - 2) + TimeDelta::microseconds(1999))
+            milliseconds(i64::MAX - 1).checked_add(&TimeDelta::microseconds(999)),
+            Some(milliseconds(i64::MAX - 2) + TimeDelta::microseconds(1999))
         );
-        assert!(TimeDelta::milliseconds(i64::MAX)
-            .checked_add(&TimeDelta::microseconds(1000))
-            .is_none());
-        assert!(TimeDelta::milliseconds(i64::MAX)
-            .checked_add(&TimeDelta::nanoseconds(1))
-            .is_none());
+        assert!(milliseconds(i64::MAX).checked_add(&TimeDelta::microseconds(1000)).is_none());
+        assert!(milliseconds(i64::MAX).checked_add(&TimeDelta::nanoseconds(1)).is_none());
 
         assert_eq!(
-            TimeDelta::milliseconds(-i64::MAX).checked_sub(&TimeDelta::milliseconds(0)),
-            Some(TimeDelta::milliseconds(-i64::MAX))
+            milliseconds(-i64::MAX).checked_sub(&milliseconds(0)),
+            Some(milliseconds(-i64::MAX))
         );
         assert_eq!(
-            TimeDelta::milliseconds(-i64::MAX + 1).checked_sub(&TimeDelta::microseconds(999)),
-            Some(TimeDelta::milliseconds(-i64::MAX + 2) - TimeDelta::microseconds(1999))
+            milliseconds(-i64::MAX + 1).checked_sub(&TimeDelta::microseconds(999)),
+            Some(milliseconds(-i64::MAX + 2) - TimeDelta::microseconds(1999))
         );
-        assert!(TimeDelta::milliseconds(-i64::MAX)
-            .checked_sub(&TimeDelta::milliseconds(1))
-            .is_none());
-        assert!(TimeDelta::milliseconds(-i64::MAX)
-            .checked_sub(&TimeDelta::nanoseconds(1))
-            .is_none());
+        assert!(milliseconds(-i64::MAX).checked_sub(&milliseconds(1)).is_none());
+        assert!(milliseconds(-i64::MAX).checked_sub(&TimeDelta::nanoseconds(1)).is_none());
     }
 
     #[test]
     fn test_duration_abs() {
-        assert_eq!(TimeDelta::milliseconds(1300).abs(), TimeDelta::milliseconds(1300));
-        assert_eq!(TimeDelta::milliseconds(1000).abs(), TimeDelta::milliseconds(1000));
-        assert_eq!(TimeDelta::milliseconds(300).abs(), TimeDelta::milliseconds(300));
-        assert_eq!(TimeDelta::milliseconds(0).abs(), TimeDelta::milliseconds(0));
-        assert_eq!(TimeDelta::milliseconds(-300).abs(), TimeDelta::milliseconds(300));
-        assert_eq!(TimeDelta::milliseconds(-700).abs(), TimeDelta::milliseconds(700));
-        assert_eq!(TimeDelta::milliseconds(-1000).abs(), TimeDelta::milliseconds(1000));
-        assert_eq!(TimeDelta::milliseconds(-1300).abs(), TimeDelta::milliseconds(1300));
-        assert_eq!(TimeDelta::milliseconds(-1700).abs(), TimeDelta::milliseconds(1700));
-        assert_eq!(TimeDelta::milliseconds(-i64::MAX).abs(), TimeDelta::milliseconds(i64::MAX));
+        let milliseconds = |ms| TimeDelta::try_milliseconds(ms).unwrap();
+
+        assert_eq!(milliseconds(1300).abs(), milliseconds(1300));
+        assert_eq!(milliseconds(1000).abs(), milliseconds(1000));
+        assert_eq!(milliseconds(300).abs(), milliseconds(300));
+        assert_eq!(milliseconds(0).abs(), milliseconds(0));
+        assert_eq!(milliseconds(-300).abs(), milliseconds(300));
+        assert_eq!(milliseconds(-700).abs(), milliseconds(700));
+        assert_eq!(milliseconds(-1000).abs(), milliseconds(1000));
+        assert_eq!(milliseconds(-1300).abs(), milliseconds(1300));
+        assert_eq!(milliseconds(-1700).abs(), milliseconds(1700));
+        assert_eq!(milliseconds(-i64::MAX).abs(), milliseconds(i64::MAX));
     }
 
     #[test]
@@ -1093,8 +1098,14 @@ mod tests {
                 + TimeDelta::try_seconds(3).unwrap()
                 + TimeDelta::try_days(3).unwrap()
         );
-        assert_eq!(TimeDelta::milliseconds(1500) * -2, TimeDelta::try_seconds(-3).unwrap());
-        assert_eq!(TimeDelta::milliseconds(-1500) * 2, TimeDelta::try_seconds(-3).unwrap());
+        assert_eq!(
+            TimeDelta::try_milliseconds(1500).unwrap() * -2,
+            TimeDelta::try_seconds(-3).unwrap()
+        );
+        assert_eq!(
+            TimeDelta::try_milliseconds(-1500).unwrap() * 2,
+            TimeDelta::try_seconds(-3).unwrap()
+        );
     }
 
     #[test]
@@ -1107,9 +1118,18 @@ mod tests {
         assert_eq!(-TimeDelta::nanoseconds(123_456_789) / 1, -TimeDelta::nanoseconds(123_456_789));
         assert_eq!(TimeDelta::try_seconds(1).unwrap() / 3, TimeDelta::nanoseconds(333_333_333));
         assert_eq!(TimeDelta::try_seconds(4).unwrap() / 3, TimeDelta::nanoseconds(1_333_333_333));
-        assert_eq!(TimeDelta::try_seconds(-1).unwrap() / 2, TimeDelta::milliseconds(-500));
-        assert_eq!(TimeDelta::try_seconds(1).unwrap() / -2, TimeDelta::milliseconds(-500));
-        assert_eq!(TimeDelta::try_seconds(-1).unwrap() / -2, TimeDelta::milliseconds(500));
+        assert_eq!(
+            TimeDelta::try_seconds(-1).unwrap() / 2,
+            TimeDelta::try_milliseconds(-500).unwrap()
+        );
+        assert_eq!(
+            TimeDelta::try_seconds(1).unwrap() / -2,
+            TimeDelta::try_milliseconds(-500).unwrap()
+        );
+        assert_eq!(
+            TimeDelta::try_seconds(-1).unwrap() / -2,
+            TimeDelta::try_milliseconds(500).unwrap()
+        );
         assert_eq!(TimeDelta::try_seconds(-4).unwrap() / 3, TimeDelta::nanoseconds(-1_333_333_333));
         assert_eq!(TimeDelta::try_seconds(-4).unwrap() / -3, TimeDelta::nanoseconds(1_333_333_333));
     }
@@ -1145,11 +1165,12 @@ mod tests {
         assert_eq!(TimeDelta::try_days(42).unwrap().to_string(), "PT3628800S");
         assert_eq!(TimeDelta::try_days(-42).unwrap().to_string(), "-PT3628800S");
         assert_eq!(TimeDelta::try_seconds(42).unwrap().to_string(), "PT42S");
-        assert_eq!(TimeDelta::milliseconds(42).to_string(), "PT0.042S");
+        assert_eq!(TimeDelta::try_milliseconds(42).unwrap().to_string(), "PT0.042S");
         assert_eq!(TimeDelta::microseconds(42).to_string(), "PT0.000042S");
         assert_eq!(TimeDelta::nanoseconds(42).to_string(), "PT0.000000042S");
         assert_eq!(
-            (TimeDelta::try_days(7).unwrap() + TimeDelta::milliseconds(6543)).to_string(),
+            (TimeDelta::try_days(7).unwrap() + TimeDelta::try_milliseconds(6543).unwrap())
+                .to_string(),
             "PT604806.543S"
         );
         assert_eq!(TimeDelta::try_seconds(-86_401).unwrap().to_string(), "-PT86401S");
@@ -1157,7 +1178,10 @@ mod tests {
 
         // the format specifier should have no effect on `TimeDelta`
         assert_eq!(
-            format!("{:30}", TimeDelta::try_days(1).unwrap() + TimeDelta::milliseconds(2345)),
+            format!(
+                "{:30}",
+                TimeDelta::try_days(1).unwrap() + TimeDelta::try_milliseconds(2345).unwrap()
+            ),
             "PT86402.345S"
         );
     }
@@ -1166,12 +1190,18 @@ mod tests {
     fn test_to_std() {
         assert_eq!(TimeDelta::try_seconds(1).unwrap().to_std(), Ok(Duration::new(1, 0)));
         assert_eq!(TimeDelta::try_seconds(86_401).unwrap().to_std(), Ok(Duration::new(86_401, 0)));
-        assert_eq!(TimeDelta::milliseconds(123).to_std(), Ok(Duration::new(0, 123_000_000)));
-        assert_eq!(TimeDelta::milliseconds(123_765).to_std(), Ok(Duration::new(123, 765_000_000)));
+        assert_eq!(
+            TimeDelta::try_milliseconds(123).unwrap().to_std(),
+            Ok(Duration::new(0, 123_000_000))
+        );
+        assert_eq!(
+            TimeDelta::try_milliseconds(123_765).unwrap().to_std(),
+            Ok(Duration::new(123, 765_000_000))
+        );
         assert_eq!(TimeDelta::nanoseconds(777).to_std(), Ok(Duration::new(0, 777)));
         assert_eq!(MAX.to_std(), Ok(Duration::new(9_223_372_036_854_775, 807_000_000)));
         assert_eq!(TimeDelta::try_seconds(-1).unwrap().to_std(), Err(OutOfRangeError(())));
-        assert_eq!(TimeDelta::milliseconds(-1).to_std(), Err(OutOfRangeError(())));
+        assert_eq!(TimeDelta::try_milliseconds(-1).unwrap().to_std(), Err(OutOfRangeError(())));
     }
 
     #[test]
@@ -1185,11 +1215,11 @@ mod tests {
             TimeDelta::from_std(Duration::new(86_401, 0))
         );
         assert_eq!(
-            Ok(TimeDelta::milliseconds(123)),
+            Ok(TimeDelta::try_milliseconds(123).unwrap()),
             TimeDelta::from_std(Duration::new(0, 123_000_000))
         );
         assert_eq!(
-            Ok(TimeDelta::milliseconds(123_765)),
+            Ok(TimeDelta::try_milliseconds(123_765).unwrap()),
             TimeDelta::from_std(Duration::new(123, 765_000_000))
         );
         assert_eq!(Ok(TimeDelta::nanoseconds(777)), TimeDelta::from_std(Duration::new(0, 777)));
@@ -1211,7 +1241,7 @@ mod tests {
         const ONE_HOUR: TimeDelta = expect!(TimeDelta::try_hours(1), "");
         const ONE_MINUTE: TimeDelta = expect!(TimeDelta::try_minutes(1), "");
         const ONE_SECOND: TimeDelta = expect!(TimeDelta::try_seconds(1), "");
-        const ONE_MILLI: TimeDelta = TimeDelta::milliseconds(1);
+        const ONE_MILLI: TimeDelta = expect!(TimeDelta::try_milliseconds(1), "");
         const ONE_MICRO: TimeDelta = TimeDelta::microseconds(1);
         const ONE_NANO: TimeDelta = TimeDelta::nanoseconds(1);
         let combo: TimeDelta = ONE_WEEK