# Function symbolicEqual #

Attempts to determine if two expressions are symbolically equal, i.e. one is the result of valid algebraic manipulations on the other. Currently, this simply checks if the difference of the two expressions simplifies down to 0. So there are two important caveats:

- whether two expressions are symbolically equal depends on the
manipulations allowed. Therefore, this function takes an optional
third argument, which are the options that control the behavior
as documented for the
`simplify()`

function. - it is in general intractable to find the minimal simplification of
an arbitrarily complicated expression. So while a
`true`

value of`symbolicEqual`

ensures that the two expressions can be manipulated to match each other, a`false`

value does not absolutely rule this out.

## Syntax #

```
symbolicEqual(expr1, expr2)
symbolicEqual(expr1, expr2, options)
```

### Parameters #

Parameter | Type | Description |
---|---|---|

`expr1` |
Node | string | The first expression to compare |

`expr2` |
Node | string | The second expression to compare |

`options` |
Object | Optional option object, passed to simplify |

### Returns #

Type | Description |
---|---|

boolean | Returns true if a valid manipulation making the expressions equal is found. |

### Throws #

Type | Description —- | ———–

## Examples #

```
symbolicEqual('x*y', 'y*x') // Returns true
symbolicEqual('x*y', 'y*x', {context: {multiply: {commutative: false}}}) // Returns false
symbolicEqual('x/y', '(y*x^(-1))^(-1)') // Returns true
symbolicEqual('abs(x)','x') // Returns false
symbolicEqual('abs(x)','x', simplify.positiveContext) // Returns true
```