How to save canvas animation as gif or webm?

In modern browsers you can use a conjunction of the MediaRecorder API and the HTMLCanvasElement.captureStream method.

The MediaRecorder API will be able to encode a MediaStream in a video or audio media file on the fly, resulting in far less memory needed than when you grab still images.

const ctx = canvas.getContext('2d');
var x = 0;
anim();
startRecording();

function startRecording() {
  const chunks = []; // here we will store our recorded media chunks (Blobs)
  const stream = canvas.captureStream(); // grab our canvas MediaStream
  const rec = new MediaRecorder(stream); // init the recorder
  // every time the recorder has new data, we will store it in our array
  rec.ondataavailable = e => chunks.push(e.data);
  // only when the recorder stops, we construct a complete Blob from all the chunks
  rec.onstop = e => exportVid(new Blob(chunks, {type: 'video/webm'}));
  
  rec.start();
  setTimeout(()=>rec.stop(), 3000); // stop recording in 3s
}

function exportVid(blob) {
  const vid = document.createElement('video');
  vid.src = URL.createObjectURL(blob);
  vid.controls = true;
  document.body.appendChild(vid);
  const a = document.createElement('a');
  a.download = 'myvid.webm';
  a.href = vid.src;
  a.textContent="download the video";
  document.body.appendChild(a);
}

function anim(){
  x = (x + 1) % canvas.width;
  ctx.fillStyle="white";
  ctx.fillRect(0,0,canvas.width,canvas.height);
  ctx.fillStyle="black";
  ctx.fillRect(x - 20, 0, 40, 40);
  requestAnimationFrame(anim);
}
<canvas id="canvas"></canvas>

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