Deep Compare JavaScript function

Question

I'm working my way through the 3rd edition of Eloquent JavaScript and although I've seen one or two various answers on SO that seem almost identical in execution logic to mine that work mine just doesnt seem to no matter how I tweek it.

THE GOAL: create a deep comparison function that can compare two objects and determine based on their properties if theyre different instances of the same type of object (same keys and values) regardless of reference...

Can anyone spot the bug in my code?

function deepEqual(a,b){
  if((typeof a=='object'&& a!=null)&&(typeof b=='object'&& b!=null)){
   if(Object.keys(a).length != Object.keys(b).length){return false}    
    for(let key in a){
        if(a[key]==b[key]){
          if(!deepEqual(a[key],b[key])){return false}
        }else{
          return false
        }
    }
   return true
  }else if(a!==b){return false}

  else{return true}
}

var obj = {here: {is: "an"}, object: 2};
console.log(deepEqual(obj, obj));
// → true (reads true currently)
console.log(deepEqual(obj, {here: 1, object: 2}));
// → false (reads false currently)
console.log(deepEqual(obj, {here: {is: "an"}, object: 2}));
// → true (reads false currently)

Answer 1

The bug was here:

if (a[key] == b[key])

if they're objects the condition may return false even if they're "equal".

function deepEqual(a, b) {
  if (a && b && typeof a == 'object' && typeof b == 'object') {
    if (Object.keys(a).length != Object.keys(b).length) return false;
    for (var key in a) if (!deepEqual(a[key], b[key])) return false;
    return true;
  } else return a === b
}

var obj = {here: {is: "an"}, object: [2]};
console.log(deepEqual(obj, obj));
// → true 
console.log(deepEqual(obj, {here: 1, object: 2}));
// → false 
console.log(deepEqual(obj, {here: {is: "an"}, object: [2]}));
// → true