# series_subtract
The `series_subtract` function performs element-wise subtraction between two numeric dynamic arrays (series). Each element in the first series is subtracted by the corresponding element at the same position in the second series.
You can use `series_subtract` when you need to compute differences between two time-series datasets. This is particularly useful for calculating deltas, deviations from baselines, changes over time, or comparing metrics between different groups or time periods.
## Usage [#usage]
### Syntax [#syntax]
```kusto
series_subtract(series1, series2)
```
### Parameters [#parameters]
| Parameter | Type | Description |
| --------- | ------- | ----------------------------------------------- |
| `series1` | dynamic | A dynamic array of numeric values (minuend). |
| `series2` | dynamic | A dynamic array of numeric values (subtrahend). |
### Returns [#returns]
A dynamic array where each element is the result of subtracting the corresponding element of `series2` from `series1`. If the arrays have different lengths, the shorter array is extended with `null` values.
## Use case examples [#use-case-examples]
In log analysis, you can use `series_subtract` to calculate the difference between current and baseline request durations, helping identify performance degradations.
**Query**
```kusto
['sample-http-logs']
| summarize current = make_list(req_duration_ms) by ['geo.city']
| extend baseline = dynamic([50, 55, 48, 52, 49])
| extend delta = series_subtract(current, baseline)
| take 5
```
[Run in Playground](https://play.axiom.co/axiom-play-qf1k/query?initForm=%7B%22apl%22%3A%22%5B'sample-http-logs'%5D%20%7C%20summarize%20current%20%3D%20make_list\(req_duration_ms\)%20by%20%5B'geo.city'%5D%20%7C%20extend%20baseline%20%3D%20dynamic\(%5B50%2C%2055%2C%2048%2C%2052%2C%2049%5D\)%20%7C%20extend%20delta%20%3D%20series_subtract\(current%2C%20baseline\)%20%7C%20take%205%22%7D)
**Output**
| geo.city | current | baseline | delta |
| -------- | --------------------- | --------------------- | --------------------- |
| Seattle | \[60, 65, 58, 62, 59] | \[50, 55, 48, 52, 49] | \[10, 10, 10, 10, 10] |
| Portland | \[45, 50, 43, 47, 44] | \[50, 55, 48, 52, 49] | \[-5, -5, -5, -5, -5] |
This query calculates the difference between current request durations and baseline values, showing performance changes per city.
In OpenTelemetry traces, you can use `series_subtract` to compare span durations between different service versions or time periods.
**Query**
```kusto
['otel-demo-traces']
| extend duration_ms = duration / 1ms
| summarize current = make_list(duration_ms) by ['service.name']
| extend previous = dynamic([100, 120, 95, 110, 105])
| extend improvement = series_subtract(previous, current)
| take 5
```
[Run in Playground](https://play.axiom.co/axiom-play-qf1k/query?initForm=%7B%22apl%22%3A%22%5B'otel-demo-traces'%5D%20%7C%20extend%20duration_ms%20%3D%20duration%20%2F%201ms%20%7C%20summarize%20current%20%3D%20make_list\(duration_ms\)%20by%20%5B'service.name'%5D%20%7C%20extend%20previous%20%3D%20dynamic\(%5B100%2C%20120%2C%2095%2C%20110%2C%20105%5D\)%20%7C%20extend%20improvement%20%3D%20series_subtract\(previous%2C%20current\)%20%7C%20take%205%22%7D)
**Output**
| service.name | current | previous | improvement |
| ------------ | -------------------------- | ------------------------- | ------------------------- |
| frontend | \[80, 95, 75, 90, 85] | \[100, 120, 95, 110, 105] | \[20, 25, 20, 20, 20] |
| checkout | \[110, 125, 105, 120, 115] | \[100, 120, 95, 110, 105] | \[-10, -5, -10, -10, -10] |
This query compares current span durations with previous measurements, calculating performance improvements (positive values) or degradations (negative values).
In security logs, you can use `series_subtract` to detect anomalous behavior by comparing request patterns against expected baselines.
**Query**
```kusto
['sample-http-logs']
| summarize observed = make_list(req_duration_ms) by status
| extend expected = dynamic([45, 50, 48, 49, 47])
| extend anomaly_score = series_subtract(observed, expected)
| take 5
```
[Run in Playground](https://play.axiom.co/axiom-play-qf1k/query?initForm=%7B%22apl%22%3A%22%5B'sample-http-logs'%5D%20%7C%20summarize%20observed%20%3D%20make_list\(req_duration_ms\)%20by%20status%20%7C%20extend%20expected%20%3D%20dynamic\(%5B45%2C%2050%2C%2048%2C%2049%2C%2047%5D\)%20%7C%20extend%20anomaly_score%20%3D%20series_subtract\(observed%2C%20expected\)%20%7C%20take%205%22%7D)
**Output**
| status | observed | expected | anomaly\_score |
| ------ | -------------------------- | --------------------- | -------------------------- |
| 200 | \[46, 51, 49, 50, 48] | \[45, 50, 48, 49, 47] | \[1, 1, 1, 1, 1] |
| 500 | \[145, 150, 148, 149, 147] | \[45, 50, 48, 49, 47] | \[100, 100, 100, 100, 100] |
This query calculates anomaly scores by comparing observed request durations against expected baselines, with large positive values indicating potential issues.
## List of related functions [#list-of-related-functions]
* [series\_multiply](/apl/scalar-functions/time-series/series-multiply): Performs element-wise multiplication of two series. Use when you need to multiply rather than subtract.
* [series\_abs](/apl/scalar-functions/time-series/series-abs): Returns the absolute value of each element. Use after subtraction to get magnitude of differences.
* [series\_stats](/apl/scalar-functions/time-series/series-stats): Returns statistical summary of a series. Use to analyze the result of subtraction operations.
* [series\_sign](/apl/scalar-functions/time-series/series-sign): Returns the sign of each element. Use after subtraction to determine direction of changes.
## Other query languages [#other-query-languages]
In Splunk SPL, you typically use the `eval` command with the subtraction operator to calculate differences between fields. In APL, `series_subtract` operates on entire arrays at once, performing element-wise subtraction efficiently.
```sql Splunk example
... | eval difference=value1 - value2
```
```kusto APL equivalent
datatable(series1: dynamic, series2: dynamic)
[
dynamic([10, 20, 30]), dynamic([5, 8, 12])
]
| extend difference = series_subtract(series1, series2)
```
In SQL, you subtract values using the `-` operator on individual columns. In APL, `series_subtract` performs element-wise subtraction across entire arrays stored in single columns.
```sql SQL example
SELECT value1 - value2 AS difference
FROM measurements;
```
```kusto APL equivalent
datatable(series1: dynamic, series2: dynamic)
[
dynamic([10, 20, 30]), dynamic([5, 8, 12])
]
| extend difference = series_subtract(series1, series2)
```