diff --git a/libraries/base/GHC/Float.hs b/libraries/base/GHC/Float.hs
index 012de47689e8..5d0c5622e316 100644
--- a/libraries/base/GHC/Float.hs
+++ b/libraries/base/GHC/Float.hs
@@ -1640,3 +1640,22 @@ foreign import prim "stg_doubleToWord64zh"
 
 "Word# -> Natural -> Double#"
   forall x. naturalToDouble# (NS x) = word2Double# x #-}
+
+-- We don't have word64ToFloat/word64ToDouble primops (#23908), only
+-- word2Float/word2Double, so we can only perform these transformations when
+-- word-size is 64-bit.
+#if WORD_SIZE_IN_BITS == 64
+{-# RULES
+
+"Int64# -> Integer -> Float#"
+  forall x. integerToFloat# (integerFromInt64# x) = int2Float# (int64ToInt# x)
+
+"Int64# -> Integer -> Double#"
+  forall x. integerToDouble# (integerFromInt64# x) = int2Double# (int64ToInt# x)
+
+"Word64# -> Integer -> Float#"
+  forall x. integerToFloat# (integerFromWord64# x) = word2Float# (word64ToWord# x)
+
+"Word64# -> Integer -> Double#"
+  forall x. integerToDouble# (integerFromWord64# x) = word2Double# (word64ToWord# x) #-}
+#endif
diff --git a/testsuite/tests/numeric/should_compile/T23907.hs b/testsuite/tests/numeric/should_compile/T23907.hs
new file mode 100644
index 000000000000..909516157a40
--- /dev/null
+++ b/testsuite/tests/numeric/should_compile/T23907.hs
@@ -0,0 +1,67 @@
+module T23907 (loop) where
+
+import Data.Word
+import Data.Bits
+
+{-# NOINLINE loop #-}
+loop :: Int -> Double -> SMGen -> (Double, SMGen)
+loop 0 !a !s = (a, s)
+loop n !a !s = loop (n - 1) (a + b) t where (b, t) = nextDouble s
+
+mix64 :: Word64 -> Word64
+mix64 z0 =
+   -- MurmurHash3Mixer
+    let z1 = shiftXorMultiply 33 0xff51afd7ed558ccd z0
+        z2 = shiftXorMultiply 33 0xc4ceb9fe1a85ec53 z1
+        z3 = shiftXor 33 z2
+    in z3
+
+shiftXor :: Int -> Word64 -> Word64
+shiftXor n w = w `xor` (w `shiftR` n)
+
+shiftXorMultiply :: Int -> Word64 -> Word64 -> Word64
+shiftXorMultiply n k w = shiftXor n w * k
+
+nextWord64 :: SMGen -> (Word64, SMGen)
+nextWord64 (SMGen seed gamma) = (mix64 seed', SMGen seed' gamma)
+  where
+    seed' = seed + gamma
+
+nextDouble :: SMGen -> (Double, SMGen)
+nextDouble g = case nextWord64 g of
+    (w64, g') -> (fromIntegral (w64 `shiftR` 11) * doubleUlp, g')
+
+data SMGen = SMGen !Word64 !Word64 -- seed and gamma; gamma is odd
+
+mkSMGen :: Word64 -> SMGen
+mkSMGen s = SMGen (mix64 s) (mixGamma (s + goldenGamma))
+
+goldenGamma :: Word64
+goldenGamma = 0x9e3779b97f4a7c15
+
+floatUlp :: Float
+floatUlp =  1.0 / fromIntegral (1 `shiftL` 24 :: Word32)
+
+doubleUlp :: Double
+doubleUlp =  1.0 / fromIntegral (1 `shiftL` 53 :: Word64)
+
+mix64variant13 :: Word64 -> Word64
+mix64variant13 z0 =
+   -- Better Bit Mixing - Improving on MurmurHash3's 64-bit Finalizer
+   -- http://zimbry.blogspot.fi/2011/09/better-bit-mixing-improving-on.html
+   --
+   -- Stafford's Mix13
+    let z1 = shiftXorMultiply 30 0xbf58476d1ce4e5b9 z0 -- MurmurHash3 mix constants
+        z2 = shiftXorMultiply 27 0x94d049bb133111eb z1
+        z3 = shiftXor 31 z2
+    in z3
+
+mixGamma :: Word64 -> Word64
+mixGamma z0 =
+    let z1 = mix64variant13 z0 .|. 1             -- force to be odd
+        n  = popCount (z1 `xor` (z1 `shiftR` 1))
+    -- see: http://www.pcg-random.org/posts/bugs-in-splitmix.html
+    -- let's trust the text of the paper, not the code.
+    in if n >= 24
+        then z1
+        else z1 `xor` 0xaaaaaaaaaaaaaaaa
diff --git a/testsuite/tests/numeric/should_compile/T23907.stderr b/testsuite/tests/numeric/should_compile/T23907.stderr
new file mode 100644
index 000000000000..946c4bb6d89b
--- /dev/null
+++ b/testsuite/tests/numeric/should_compile/T23907.stderr
@@ -0,0 +1,57 @@
+
+==================== Tidy Core ====================
+Result size of Tidy Core
+  = {terms: 90, types: 62, coercions: 0, joins: 0/3}
+
+$WSMGen
+  = \ conrep conrep1 ->
+      case conrep of { W64# unbx ->
+      case conrep1 of { W64# unbx1 -> SMGen unbx unbx1 }
+      }
+
+Rec {
+$wloop
+  = \ ww ww1 ww2 ww3 ->
+      case ww of ds {
+        __DEFAULT ->
+          let { seed' = plusWord64# ww2 ww3 } in
+          let {
+            x#
+              = timesWord64#
+                  (xor64# seed' (uncheckedShiftRL64# seed' 33#))
+                  18397679294719823053#Word64 } in
+          let {
+            x#1
+              = timesWord64#
+                  (xor64# x# (uncheckedShiftRL64# x# 33#))
+                  14181476777654086739#Word64 } in
+          $wloop
+            (-# ds 1#)
+            (+##
+               ww1
+               (*##
+                  (word2Double#
+                     (word64ToWord#
+                        (uncheckedShiftRL64#
+                           (xor64# x#1 (uncheckedShiftRL64# x#1 33#)) 11#)))
+                  1.1102230246251565e-16##))
+            seed'
+            ww3;
+        0# -> (# ww1, ww2, ww3 #)
+      }
+end Rec }
+
+loop
+  = \ ds a s ->
+      case ds of { I# ww ->
+      case a of { D# ww1 ->
+      case s of { SMGen ww2 ww3 ->
+      case $wloop ww ww1 ww2 ww3 of { (# ww4, ww5, ww6 #) ->
+      (D# ww4, SMGen ww5 ww6)
+      }
+      }
+      }
+      }
+
+
+
diff --git a/testsuite/tests/numeric/should_compile/all.T b/testsuite/tests/numeric/should_compile/all.T
index 6f55e3b2fd27..8410dcddcdc7 100644
--- a/testsuite/tests/numeric/should_compile/all.T
+++ b/testsuite/tests/numeric/should_compile/all.T
@@ -20,3 +20,4 @@ test('T20448', normal, compile, ['-ddump-simpl -O -dsuppress-all -dno-typeable-b
 test('T19641', normal, compile, ['-ddump-simpl -O -dsuppress-all -dno-typeable-binds -dsuppress-uniques'])
 test('T15547', normal, compile, ['-ddump-simpl -O -dsuppress-all -dno-typeable-binds -dsuppress-uniques'])
 test('T23019', normal, compile, ['-O'])
+test('T23907', [ when(wordsize(32), expect_broken(23908))], compile, ['-ddump-simpl -O2 -dsuppress-all -dno-typeable-binds -dsuppress-uniques'])