Compare nested objects in JavaScript and return keys equality

I have two nested objects obj1 and obj2 and I want to compare them and the recursively return an object that for each nested key has a equality-like boolean flag

So for a given obj1 like

obj1 = {
  prop1: 1,
  prop2: "foo",
  prop3: {
    prop4: 2,
    prop5: "bar" 
  }
}

and the obj2 like

obj2 = {
      prop1: 3,
      prop2: "foo",
      prop3: {
        prop4: 2,
        prop5: "foobar" 
      },
      prop6: "new"
    }

it should return

equality = {
     prop1: false,
     prop2: true,
     prop3 : {
       prop4: true,
       prop5: false
     },
     prop6: false
   }

If an object has a new property, like obj2.prop6, then the equality will be equality.prop6 = false.

For non-nested object a simple keys comparison solutions is here Get the property of the difference between two objects in javascript While to recursively compare nested objects it is showed here JavaScript: Deep comparison recursively: Objects and properties

Answer

You could use reduce to build new object and another get method to get nested props from other object by string and compare it to current prop value in first object.

const obj1 = { prop1: 1, prop2: "foo", prop3: { prop4: 2, prop5: "bar" } }
const obj2 = { prop1: 3, prop2: "foo", prop3: { prop4: 2, prop5: "foobar" } }

function get(obj, path) {
  return path.split('.').reduce((r, e) => {
    if (!r) return r
    else return r[e] || undefined
  }, obj)
}

function compare(a, b, prev = "") {
  return Object.keys(a).reduce((r, e) => {
    const path = prev + (prev ? '.' + e : e);
    const value = a[e] === get(b, path);
    r[e] = typeof a[e] === 'object' ? compare(a[e], b, path) : value
    return r;
  }, {})
}

const result = compare(obj1, obj2);
console.log(result)

To compare all properties of both objects you could create extra function that will perform loop by both objects.

const obj1 = {"prop1":1,"prop2":"foo","prop3":{"prop4":2,"prop5":"bar"},"prop7":{"prop9":{"prop10":"foo"}}}
const obj2 = {"prop1":3,"prop2":"foo","prop3":{"prop4":2,"prop5":"foobar"},"prop6":"new","prop7":{"foo":"foo","bar":{"baz":"baz"}}}

function get(obj, path) {
  return path.split('.').reduce((r, e) => {
    if (!r) return r;
    else return r[e] || undefined;
  }, obj);
}

function isEmpty(o) {
  if (typeof o !== 'object') return true;
  else return !Object.keys(o).length;
}

function build(a, b, o = null, prev = '') {
  return Object.keys(a).reduce(
    (r, e) => {
      const path = prev + (prev ? '.' + e : e);
      const bObj = get(b, path);
      const value = a[e] === bObj;

      if (typeof a[e] === 'object') {
        if (isEmpty(a[e]) && isEmpty(bObj)) {
          if (e in r) r[e] = r[e];
          else r[e] = true;
        } else if (!bObj && isEmpty(a[e])) {
          r[e] = value;
        } else {
          r[e] = build(a[e], b, r[e], path);
        }
      } else {
        r[e] = value;
      }
      return r;
    },
    o ? o : {}
  );
}

function compare(a, b) {
  const o = build(a, b);
  return build(b, a, o);
}

const result = compare(obj1, obj2);
console.log(result)