[[search-aggregations-pipeline-series-arithmetic-aggregation]]
=== Series Arithmetic Aggregation

A parent pipeline aggregation which executes a script which can perform per bucket computations on specified metrics 
in the parent multi-bucket aggregation. The specified metric must be numeric and the script must return a numeric value.

==== Syntax

A `series_arithmetic` aggregation looks like this in isolation:

[source,js]
--------------------------------------------------
{
    "series_arithmetic": {
        "buckets_path": {
            "my_var1": "the_sum", <1>
            "my_var2": "the_value_count"
        },
        script: "my_var1 / my_var2"
    }
}
--------------------------------------------------
<1> Here, `my_var1` is the name of the variable for this buckets path to use in the script, `the_sum` is the path to 
the metrics to use for that variable.


.`series_arithmetic` Parameters
|===
|Parameter Name |Description |Required |Default Value
|`script` |The script to run for this aggregation. The script can be inline, file or indexed. (see <<modules-scripting>> 
for more details) |Required |
|`buckets_path` |A map of script variables and their associated path to the buckets we wish to use for the variable 
(see <<bucket-path-syntax>> for more details) |Required |
 |`gap_policy` |The policy to apply when gaps are found in the data (see <<gap-policy>> for more
 details)|Optional, defaults to `skip` |
 |`format` |format to apply to the output value of this aggregation |Optional, defaults to `null` |
|===

The following snippet calculates the ratio percentage of t-shirt sales compared to total sales each month:

[source,js]
--------------------------------------------------
{
    "aggs" : {
        "sales_per_month" : {
            "date_histogram" : {
                "field" : "date",
                "interval" : "month"
            },
            "aggs": {
                "total_sales": {
                    "sum": {
                        "field": "price"
                    }
                },
                "t-shirts": {
                  "filter": {
                    "term": {
                      "type": "t-shirt"
                    }
                  },
                  "aggs": {
                    "sales": {
                      "sum": {
                        "field": "price"
                      }
                    }
                  }
                },
                "t-shirt-percentage": {
                    "series_arithmetic": {
                        "buckets_paths": { 
                          "tShirtSales": "t-shirts>sales",
                          "totalSales": "total_sales"
                        },
                        "script": "tShirtSales / totalSales * 100"
                    }
                }
            }
        }
    }
}
--------------------------------------------------

And the following may be the response:

[source,js]
--------------------------------------------------
{
   "aggregations": {
      "sales_per_month": {
         "buckets": [
            {
               "key_as_string": "2015/01/01 00:00:00",
               "key": 1420070400000,
               "doc_count": 3,
               "total_sales": {
                   "value": 50
               },
               "t-shirts": {
                   "doc_count": 2,
                   "sales": {
                       "value": 10
                   }
               },
               "t-shirt-percentage": {
                   "value": 20
               }
            },
            {
               "key_as_string": "2015/02/01 00:00:00",
               "key": 1422748800000,
               "doc_count": 2
               "total_sales": {
                   "value": 60
               },
               "t-shirts": {
                   "doc_count": 1,
                   "sales": {
                       "value": 15
                   }
               },
               "t-shirt-percentage": {
                   "value": 25
               }
            },
            {
               "key_as_string": "2015/03/01 00:00:00",
               "key": 1425168000000,
               "doc_count": 2,
               "total_sales": {
                   "value": 40
               },
               "t-shirts": {
                   "doc_count": 1,
                   "sales": {
                       "value": 20
                   }
               },
               "t-shirt-percentage": {
                   "value": 50
               }
            }
         ]
      }
   }
}
--------------------------------------------------

