diff --git a/backend.native/tests/external/codegen/box/ieee754/dataClass.kt b/backend.native/tests/external/codegen/box/ieee754/dataClass.kt
index d51e3a19d44..8f05b07f453 100644
--- a/backend.native/tests/external/codegen/box/ieee754/dataClass.kt
+++ b/backend.native/tests/external/codegen/box/ieee754/dataClass.kt
@@ -1,5 +1,3 @@
-// IGNORE_BACKEND: NATIVE
-
 data class Test(val z1: Double, val z2: Double?)
 
 fun box(): String {
diff --git a/backend.native/tests/external/codegen/box/ieee754/equalsNaN.kt b/backend.native/tests/external/codegen/box/ieee754/equalsNaN.kt
index da9c4f5580a..3a396bd432d 100644
--- a/backend.native/tests/external/codegen/box/ieee754/equalsNaN.kt
+++ b/backend.native/tests/external/codegen/box/ieee754/equalsNaN.kt
@@ -1,4 +1,3 @@
-// IGNORE_BACKEND: NATIVE
 // WITH_RUNTIME
 
 import kotlin.test.*
diff --git a/backend.native/tests/external/codegen/box/ieee754/explicitCompareCall.kt b/backend.native/tests/external/codegen/box/ieee754/explicitCompareCall.kt
index cfb9877257a..40409e20e4c 100644
--- a/backend.native/tests/external/codegen/box/ieee754/explicitCompareCall.kt
+++ b/backend.native/tests/external/codegen/box/ieee754/explicitCompareCall.kt
@@ -1,4 +1,4 @@
-// IGNORE_BACKEND: JS, NATIVE
+// IGNORE_BACKEND: JS
 fun less1(a: Double, b: Double) = a.compareTo(b) == -1
 
 fun less2(a: Double?, b: Double?) = a!!.compareTo(b!!) == -1
diff --git a/backend.native/tests/external/codegen/box/ieee754/explicitEqualsCall.kt b/backend.native/tests/external/codegen/box/ieee754/explicitEqualsCall.kt
index d9003f38af2..4a6f495d576 100644
--- a/backend.native/tests/external/codegen/box/ieee754/explicitEqualsCall.kt
+++ b/backend.native/tests/external/codegen/box/ieee754/explicitEqualsCall.kt
@@ -1,4 +1,4 @@
-// IGNORE_BACKEND: JS, NATIVE
+// IGNORE_BACKEND: JS
 
 fun equals1(a: Double, b: Double) = a.equals(b)
 
diff --git a/backend.native/tests/external/codegen/box/ieee754/inline.kt b/backend.native/tests/external/codegen/box/ieee754/inline.kt
index 8238f6242ac..f4381928459 100644
--- a/backend.native/tests/external/codegen/box/ieee754/inline.kt
+++ b/backend.native/tests/external/codegen/box/ieee754/inline.kt
@@ -1,4 +1,4 @@
-// IGNORE_BACKEND: JS, NATIVE
+// IGNORE_BACKEND: JS!
 
 inline fun less(a: Comparable<Double>, b: Double): Boolean {
     return a < b
diff --git a/backend.native/tests/external/codegen/box/ieee754/safeCall.kt b/backend.native/tests/external/codegen/box/ieee754/safeCall.kt
index 25d569d7df2..5133ddaef43 100644
--- a/backend.native/tests/external/codegen/box/ieee754/safeCall.kt
+++ b/backend.native/tests/external/codegen/box/ieee754/safeCall.kt
@@ -1,4 +1,4 @@
-// IGNORE_BACKEND: JS, NATIVE
+// IGNORE_BACKEND: JS
 fun box(): String {
     val plusZero: Double? = 0.0
     val minusZero: Double = -0.0
diff --git a/backend.native/tests/external/codegen/box/ieee754/smartCastToDifferentTypes.kt b/backend.native/tests/external/codegen/box/ieee754/smartCastToDifferentTypes.kt
index 98b087e66e0..e3a06426db3 100644
--- a/backend.native/tests/external/codegen/box/ieee754/smartCastToDifferentTypes.kt
+++ b/backend.native/tests/external/codegen/box/ieee754/smartCastToDifferentTypes.kt
@@ -1,4 +1,4 @@
-// IGNORE_BACKEND: JS, NATIVE
+// IGNORE_BACKEND: JS
 fun box(): String {
     val zero: Any = 0.0
     val floatZero: Any = -0.0F
diff --git a/backend.native/tests/external/codegen/box/primitiveTypes/comparisonWithNaN.kt b/backend.native/tests/external/codegen/box/primitiveTypes/comparisonWithNaN.kt
index 2f1186ca3bf..77bf84e3558 100644
--- a/backend.native/tests/external/codegen/box/primitiveTypes/comparisonWithNaN.kt
+++ b/backend.native/tests/external/codegen/box/primitiveTypes/comparisonWithNaN.kt
@@ -1,5 +1,5 @@
 // TODO: muted automatically, investigate should it be ran for JS or not
-// IGNORE_BACKEND: JS, NATIVE
+// IGNORE_BACKEND: JS
 
 // This test checks that our bytecode is consistent with javac bytecode
 
@@ -10,8 +10,8 @@ fun _assert(condition: Boolean) {
 fun _assertFalse(condition: Boolean) = _assert(!condition)
 
 fun box(): String {
-    var dnan = java.lang.Double.NaN
-    if (System.nanoTime() < 0) dnan = 3.14 // To avoid possible compile-time const propagation
+    var dnan = Double.NaN
+//    if (System.nanoTime() < 0) dnan = 3.14 // To avoid possible compile-time const propagation
 
     _assertFalse(0.0 < dnan)
     _assertFalse(0.0 > dnan)
@@ -34,8 +34,8 @@ fun box(): String {
     _assert(dnan.compareTo(0.0) == 1)
     _assert(dnan.compareTo(dnan) == 0)
 
-    var fnan = java.lang.Float.NaN
-    if (System.nanoTime() < 0) fnan = 3.14f
+    var fnan = Float.NaN
+//    if (System.nanoTime() < 0) fnan = 3.14f
 
     _assertFalse(0.0f < fnan)
     _assertFalse(0.0f > fnan)