diff --git a/.github/workflows/create_push_docker_image.yml b/.github/workflows/create_push_docker_image.yml
new file mode 100644
index 00000000..6cc405b7
--- /dev/null
+++ b/.github/workflows/create_push_docker_image.yml
@@ -0,0 +1,39 @@
+name: Publish SymCC Docker image
+# for testing only
+on: [pull_request, workflow_dispatch]
+# we want to push a docker image when the  Compile and test SymCC
+# workflow completed successfully
+# on:
+#   workflow_run:
+#     workflows: [Compile and test SymCC] # Reuse the name of your tests workflow
+#     branches: master
+#     types:
+#       - completed
+
+jobs:
+  upload_dockerhub:
+    # if: github.repository == 'eurecom-s3/symcc' && github.ref == 'refs/heads/master'
+    # not when testing
+    # if: ${{ github.event.workflow_run.conclusion == 'success' }}
+    needs: [ llvm_compatibility, llvm_compatibility_latest_llvm ]
+    runs-on: ubuntu-latest
+    steps:
+    - name: Checkout project sources
+      uses: actions/checkout@v4
+
+    - name: Login to Docker Hub
+      uses: docker/login-action@v3
+      with:
+        username: ${{ secrets.DOCKER_USERNAME }}
+        password: ${{ secrets.DOCKER_PASSWORD }}
+
+    - name: Set up Docker Buildx
+      uses: docker/setup-buildx-action@v3
+
+    - name: Build and push
+      uses: docker/build-push-action@v5
+      with:
+        context: .
+        file: ./Dockerfile
+        push: true
+        tags: ${{ secrets.DOCKER_USERNAME }}/symcc:latest
diff --git a/.github/workflows/run_tests.yml b/.github/workflows/run_tests.yml
index 2b0ee654..951f1241 100644
--- a/.github/workflows/run_tests.yml
+++ b/.github/workflows/run_tests.yml
@@ -1,6 +1,22 @@
 name: Compile and test SymCC
 on: [pull_request, workflow_dispatch]
 jobs:
+  # Building and running the tests with Dockerfile
+  build_and_test_symcc:
+    runs-on: ubuntu-20.04
+    steps:
+      - uses: actions/checkout@v2
+      - name: Setup docker compilation environment
+        run: docker build --target builder  -t symcc .
+      - name: Build and test SymCC with simple backend
+        run: docker build --target builder_simple  -t symcc .
+      - name: Build libcxx using SymCC simple backend
+        run: docker build --target builder_libcxx  -t symcc .
+      - name: Build and test SymCC with Qsym backend
+        run: docker build --target builder_qsym  -t symcc .
+      - name: Creation of the final SymCC docker image with Qsym backend and libcxx
+
+  # checking compatibility with ubuntu llvm packages
   llvm_compatibility:
     runs-on: ubuntu-22.04
     strategy:
@@ -15,7 +31,7 @@ jobs:
           sudo apt-get update
           sudo apt-get install -y \
             llvm-${{ matrix.llvm_version }}-dev \
-            libz3-dev \
+            libz3-dev
       - name: Build SymCC with the QSYM backend
         run: |
           mkdir build
@@ -26,7 +42,9 @@ jobs:
             -DQSYM_BACKEND=ON \
             -DLLVM_DIR=/usr/lib/llvm-${{ matrix.llvm_version }}/cmake \
             ..
-          make
+          make tests
+
+  # checking compatibility (compilation only) with more recent packages
   llvm_compatibility_latest_llvm:
     runs-on: ubuntu-22.04
     strategy:
@@ -59,33 +77,4 @@ jobs:
             -DQSYM_BACKEND=ON \
             -DLLVM_DIR=/usr/lib/llvm-${{ matrix.llvm_version }}/cmake \
             ..
-          make
-
-  # 1- This is all open source anyway, so I figure anyone working on this should maybe create a DockerHub account
-  # and create secrets to store their username and password to test uploading their changes to symcc.
-  # Also, deleting the old workflow, as if I kept it, this would build the Docker image twice.
-  # 2- We should only build and push to DockerHub if this passes all tests
-  upload_dockerhub:
-    # if: github.repository == 'eurecom-s3/symcc' && github.ref == 'refs/heads/master'
-    needs: [ llvm_compatibility, llvm_compatibility_latest_llvm ]
-    runs-on: ubuntu-latest
-    steps:
-    - name: Checkout project sources
-      uses: actions/checkout@v4
-
-    - name: Login to Docker Hub
-      uses: docker/login-action@v3
-      with:
-        username: ${{ secrets.DOCKER_USERNAME }}
-        password: ${{ secrets.DOCKER_PASSWORD }}
-
-    - name: Set up Docker Buildx
-      uses: docker/setup-buildx-action@v3
-
-    - name: Build and push
-      uses: docker/build-push-action@v5
-      with:
-        context: .
-        file: ./Dockerfile
-        push: true
-        tags: ${{ secrets.DOCKER_USERNAME }}/symcc:latest
\ No newline at end of file
+          make tests
diff --git a/README.md b/README.md
index 5eaab5c4..4356d0b2 100644
--- a/README.md
+++ b/README.md
@@ -141,14 +141,16 @@ contains detailed instructions to replicate our experiments, as well as the raw
 results that we obtained.
 
 ### Video demonstration
-On YouTube you can find [a practical introduction to SymCC](https://www.youtube.com/watch?v=htDrNBiL7Y8) as well as a video on [how to combine AFL and SymCC](https://www.youtube.com/watch?v=zmC-ptp3W3k)
+On YouTube you can find [a practical introduction to
+SymCC](https://www.youtube.com/watch?v=htDrNBiL7Y8) as well as a video on [how
+to combine AFL and SymCC](https://www.youtube.com/watch?v=zmC-ptp3W3k)
 
 ## Building a Docker image
 
 If you prefer a Docker container over building SymCC natively, just tell Docker
 to build the image after pulling the QSYM code as above. (Be warned though: the
-Docker image enables optional C++ support from source, so creating
-the image can take quite some time!)
+Docker image enables optional C++ support from source, so creating the image can
+take quite some time!)
 
 ```
 $ git submodule init
@@ -157,7 +159,9 @@ $ docker build -t symcc .
 $ docker run -it --rm symcc
 ```
 
-Alternatively, you can pull from docker hub
+Alternatively, you can pull an existing image (current master branch) from
+Docker Hub:
+
 ```
 $ docker pull eurecoms3/symcc
 $ docker run -it --rm symcc