diff --git a/compiler/testData/codegen/box/inlineClasses/functionNameMangling/reflectionForLocalClassInFunctionWithMangledName.kt b/compiler/testData/codegen/box/inlineClasses/functionNameMangling/reflectionForLocalClassInFunctionWithMangledName.kt
index 4ebfe630870..d8e77719264 100644
--- a/compiler/testData/codegen/box/inlineClasses/functionNameMangling/reflectionForLocalClassInFunctionWithMangledName.kt
+++ b/compiler/testData/codegen/box/inlineClasses/functionNameMangling/reflectionForLocalClassInFunctionWithMangledName.kt
@@ -12,10 +12,15 @@ fun test(s: S) {
     val localKClass = Local::class
     val localJClass = localKClass.java
 
-    assertEquals("test\$Local", localKClass.simpleName)
+    val kName = localKClass.simpleName
+    // See https://youtrack.jetbrains.com/issue/KT-29413
+    // assertEquals("Local", kName)
+    if (kName != "Local" && kName != "test\$Local") throw AssertionError("Fail KClass: $kName")
 
     assertTrue { localJClass.isLocalClass }
-    assertEquals("test\$Local", localJClass.simpleName)
+
+    val jName = localJClass.simpleName
+    if (jName != "Local" && jName != "test\$Local") throw AssertionError("Fail java.lang.Class: $jName")
 }
 
 fun box(): String {
diff --git a/compiler/testData/codegen/box/jvmName/annotationProperties.kt b/compiler/testData/codegen/box/jvmName/annotationProperties.kt
index b3c951f952f..0abad7e239e 100644
--- a/compiler/testData/codegen/box/jvmName/annotationProperties.kt
+++ b/compiler/testData/codegen/box/jvmName/annotationProperties.kt
@@ -2,6 +2,7 @@
 // WITH_REFLECT
 
 import kotlin.test.assertEquals
+import kotlin.test.assertTrue
 
 annotation class Anno(@get:JvmName("uglyJvmName") val value: String)
 
@@ -17,11 +18,11 @@ fun bar() {}
 
 fun box(): String {
     val f = Foo::class.annotations.single()
-    assertEquals("@Anno(uglyJvmName=OK)", f.toString())
+    assertTrue("@Anno\\(uglyJvmName=\"?OK\"?\\)".toRegex().matches(f.toString()))
     assertEquals("OK", (f as Anno).value)
 
     val b = ::bar.annotations.single()
-    assertEquals("@Meta(anno=@Anno(uglyJvmName=OK))", b.toString())
+    assertEquals("@Meta(anno=$f)", b.toString())
     assertEquals("OK", (b as Meta).anno.value)
 
     return "OK"
diff --git a/compiler/testData/codegen/box/reflection/annotations/classLiteralWithVoidDefault.kt b/compiler/testData/codegen/box/reflection/annotations/classLiteralWithVoidDefault.kt
index de85d4e6cbe..f3e631af95d 100644
--- a/compiler/testData/codegen/box/reflection/annotations/classLiteralWithVoidDefault.kt
+++ b/compiler/testData/codegen/box/reflection/annotations/classLiteralWithVoidDefault.kt
@@ -12,7 +12,7 @@ public @interface Anno {
 
 // FILE: test.kt
 
-import kotlin.test.assertEquals
+import kotlin.test.assertTrue
 
 class C {
     @Anno
@@ -23,7 +23,7 @@ class C {
 }
 
 fun box(): String {
-    assertEquals("[@Anno(value=void)]", C::f1.annotations.toString())
-    assertEquals("[@Anno(value=class java.lang.Void)]", C::f2.annotations.toString())
+    assertTrue("\\[@Anno\\(value=void(\\.class)?\\)\\]".toRegex().matches(C::f1.annotations.toString()))
+    assertTrue("\\[@Anno\\(value=(class )?java.lang.Void(\\.class)?\\)\\]".toRegex().matches(C::f2.annotations.toString()))
     return "OK"
 }
diff --git a/compiler/testData/codegen/box/reflection/createAnnotation/floatingPointParameters.kt b/compiler/testData/codegen/box/reflection/createAnnotation/floatingPointParameters.kt
index 2a24b5bd09f..7c1d61b81b0 100644
--- a/compiler/testData/codegen/box/reflection/createAnnotation/floatingPointParameters.kt
+++ b/compiler/testData/codegen/box/reflection/createAnnotation/floatingPointParameters.kt
@@ -7,6 +7,7 @@
 
 import kotlin.test.assertEquals
 import kotlin.test.assertNotEquals
+import kotlin.test.assertTrue
 
 annotation class D(val d: Double)
 annotation class F(val f: Float)
@@ -30,11 +31,14 @@ fun fMinusZero() {}
 @F(+0.0f)
 fun fPlusZero() {}
 
-fun check(x: Any, y: Any) {
+fun check(x: Any, y: Any, regexString: String) {
     assertEquals(x, y)
     assertEquals(y, x)
     assertEquals(x.hashCode(), y.hashCode())
-    assertEquals(x.toString(), y.toString())
+
+    val regex = regexString.toRegex()
+    assertTrue(regex.matches(x.toString()))
+    assertTrue(regex.matches(y.toString()))
 }
 
 fun checkNot(x: Any, y: Any) {
@@ -54,10 +58,10 @@ fun box(): String {
     val dpz = D::class.constructors.single().call(+0.0)
     val fmz = F::class.constructors.single().call(-0.0f)
     val fpz = F::class.constructors.single().call(+0.0f)
-    check(::dMinusZero.annotations.single() as D, dmz)
-    check(::dPlusZero.annotations.single() as D, dpz)
-    check(::fMinusZero.annotations.single() as F, fmz)
-    check(::fPlusZero.annotations.single() as F, fpz)
+    check(::dMinusZero.annotations.single() as D, dmz, "@D\\(d=-0.0\\)")
+    check(::dPlusZero.annotations.single() as D, dpz, "@D\\(d=0.0\\)")
+    check(::fMinusZero.annotations.single() as F, fmz, "@F\\(f=-0.0f?\\)")
+    check(::fPlusZero.annotations.single() as F, fpz, "@F\\(f=0.0f?\\)")
 
     checkNot(dmz, dpz)
     checkNot(fmz, fpz)
diff --git a/compiler/testData/codegen/box/reflection/enclosing/localClassInTopLevelFunction.kt b/compiler/testData/codegen/box/reflection/enclosing/localClassInTopLevelFunction.kt
index e21dfb56e32..5822be741fa 100644
--- a/compiler/testData/codegen/box/reflection/enclosing/localClassInTopLevelFunction.kt
+++ b/compiler/testData/codegen/box/reflection/enclosing/localClassInTopLevelFunction.kt
@@ -8,7 +8,7 @@ fun box(): String {
     class C
 
     val name = C::class.java.getSimpleName()
-    if (name != "box\$C") return "Fail: $name"
+    if (name != "box\$C" && name != "C") return "Fail: $name"
 
     return "OK"
 }