diff --git a/lib/spectests/spectests/README.md b/lib/spectests/spectests/README.md
index 333d80e31..b49f31eac 100644
--- a/lib/spectests/spectests/README.md
+++ b/lib/spectests/spectests/README.md
@@ -25,7 +25,7 @@ Currently supported command assertions:
 - [x] `assert_malformed` _fully implemented_
 - [ ] `assert_uninstantiable` _not implemented yet_
 - [ ] `assert_exhaustion` _not implemented yet_
-- [ ] `register` _not implemented yet_
+- [x] `register` _fully implemented_
 - [x] `perform_action` _partially implemented, only function invocations for now_
 
 ### Covered spec tests
@@ -86,6 +86,7 @@ The following spec tests are currently covered:
 - [x] return.wast
 - [x] select.wast
 - [x] set_local.wast
+- [x] simd.wast
 - [ ] skip-stack-guard-page.wast
 - [x] stack.wast
 - [x] start.wast
@@ -108,7 +109,6 @@ The following spec tests are currently covered:
 
 There are some cases that we decided to skip for now to accelerate the release schedule:
 
-- `SKIP_MUTABLE_GLOBALS`: Right now the Wasm parser can't validate a module with imported/exported `mut` globals. We decided to skip the tests until Cranelift and wasmparser can handle this (see [original spec proposal](https://github.com/WebAssembly/mutable-global)). Spec tests affected:
   - `globals.wast`
 - `SKIP_CALL_INDIRECT_TYPE_MISMATCH`: we implemented traps in a fast way. We haven't yet covered the type mismatch on `call_indirect`. Specs affected: