# expm1rel
> Compute the relative error exponential.
The relative error exponential is defined as
## Usage
```javascript
var expm1rel = require( '@stdlib/math/base/special/expm1rel' );
```
#### expm1rel( x )
Computes the relative error exponential.
```javascript
var v = expm1rel( 0.0 );
// returns 1.0
v = expm1rel( 1.0 );
// returns ~1.718
v = expm1rel( -1.0 );
// returns ~0.632
v = expm1rel( NaN );
// returns NaN
```
## Notes
- When `x` is near zero, `exp(x)-1` can suffer catastrophic cancellation (i.e., a significant loss in precision). `expm1rel` avoids such a loss in precision.
## Examples
```javascript
var randu = require( '@stdlib/random/base/randu' );
var expm1rel = require( '@stdlib/math/base/special/expm1rel' );
var x;
var y;
var a;
var i;
for ( i = 0; i < 100; i++ ) {
x = (randu()*100.0) - 50.0;
a = x.toFixed( 3 );
y = expm1rel( x );
console.log( '(e^%d - 1)/%d = %d', a, a, y );
}
```
