### Elasticsearch Version
8.17.2
### Installed Plugins
non
### Java Version
…
_bundled_
### OS Version
docker 8.17.2
### Problem Description
When sort by date field, which is not required we have arithmetic exception.
Help only add "missing": Long.MAX_VALUE to sort date field
**IMPORTANT**: dont work sort only by ASC

### Steps to Reproduce
Set settings:
```
PUT /_cluster/settings
{
"persistent" : {
"search.default_allow_partial_results" : false
}
}
```
Create index:
```
PUT test8
{
"settings": {
"number_of_shards": 10
},
"mappings": {
"properties": {
"reopen_date" : {
"type" : "date",
"format": "yyyy-MM-dd HH:mm:ss"
}
}}
}
```
Add docs:
```
POST _bulk
{"index":{"_index":"test8"}}
{"reopen_date": null}
{"index":{"_index":"test8"}}
{"reopen_date": "2024-07-09 21:11:31"}
{"index":{"_index":"test8"}}
{"reopen_date": null}
{"index":{"_index":"test8"}}
{"reopen_date": null}
{"index":{"_index":"test8"}}
{"reopen_date": null}
```
Execute:
```
GET /test8/_search?&from=0&size=1&sort=reopen_date%3Aasc
```
See error:
```
{
"error": {
"root_cause": [
{
"type": "arithmetic_exception",
"reason": "long overflow"
}
],
"type": "search_phase_execution_exception",
"reason": "Partial shards failure",
"phase": "query",
"grouped": true,
"failed_shards": [
{
"shard": 3,
"index": "test8",
"node": "gnciuUg2SMSP756yJz6TGA",
"reason": {
"type": "arithmetic_exception",
"reason": "long overflow"
}
}
]
},
"status": 500
}
```
Sometimes need change `size` in query.
Also its not reproduce when shards < 3-5
### Logs (if relevant)
```
{"type": "server", "timestamp": "2025-03-18T13:48:49,777Z", "level": "WARN", "component": "o.e.a.s.TransportSearchAction", "cluster.name": "prod-ue1-la-es-02", "node.name": "qla-prod-ue1-la-es-02-data-1.prod-ue1.live-agent.net", "message": "TransportSearchAction shard failure (partial results response)", "cluster.uuid": "zha7TU5yTgGZJ8kpiQemqg", "node.id": "tBs2yh-jSjyPb05WS4SURA" ,
"stacktrace": ["org.elasticsearch.action.search.ShardSearchFailure: null",
"at org.elasticsearch.action.search.AbstractSearchAsyncAction.onShardFailure(AbstractSearchAsyncAction.java:534) ~[elasticsearch-8.17.2.jar:?]",
"at org.elasticsearch.action.search.AbstractSearchAsyncAction.onShardFailure(AbstractSearchAsyncAction.java:458) ~[elasticsearch-8.17.2.jar:?]",
"at org.elasticsearch.action.search.AbstractSearchAsyncAction$1.onFailure(AbstractSearchAsyncAction.java:337) ~[elasticsearch-8.17.2.jar:?]",
"at org.elasticsearch.action.ActionListenerImplementations.safeAcceptException(ActionListenerImplementations.java:64) ~[elasticsearch-8.17.2.jar:?]",
"at org.elasticsearch.action.ActionListenerImplementations.safeOnFailure(ActionListenerImplementations.java:75) ~[elasticsearch-8.17.2.jar:?]",
"at org.elasticsearch.action.DelegatingActionListener.onFailure(DelegatingActionListener.java:32) ~[elasticsearch-8.17.2.jar:?]",
"at org.elasticsearch.action.ActionListenerResponseHandler.handleException(ActionListenerResponseHandler.java:54) ~[elasticsearch-8.17.2.jar:?]",
"at org.elasticsearch.action.search.SearchTransportService$ConnectionCountingHandler.handleException(SearchTransportService.java:647) ~[elasticsearch-8.17.2.jar:?]",
"at org.elasticsearch.transport.TransportService$UnregisterChildTransportResponseHandler.handleException(TransportService.java:1786) ~[elasticsearch-8.17.2.jar:?]",
"at org.elasticsearch.transport.TransportService$ContextRestoreResponseHandler.handleException(TransportService.java:1510) ~[elasticsearch-8.17.2.jar:?]",
"at org.elasticsearch.transport.TransportService$DirectResponseChannel.processException(TransportService.java:1644) ~[elasticsearch-8.17.2.jar:?]",
"at org.elasticsearch.transport.TransportService$DirectResponseChannel.sendResponse(TransportService.java:1619) ~[elasticsearch-8.17.2.jar:?]",
"at org.elasticsearch.transport.TaskTransportChannel.sendResponse(TaskTransportChannel.java:44) ~[elasticsearch-8.17.2.jar:?]",
"at org.elasticsearch.action.support.ChannelActionListener.onFailure(ChannelActionListener.java:45) ~[elasticsearch-8.17.2.jar:?]",
"at org.elasticsearch.action.ActionRunnable.onFailure(ActionRunnable.java:152) ~[elasticsearch-8.17.2.jar:?]",
"at org.elasticsearch.common.util.concurrent.AbstractRunnable.run(AbstractRunnable.java:29) ~[elasticsearch-8.17.2.jar:?]",
"at org.elasticsearch.common.util.concurrent.TimedRunnable.doRun(TimedRunnable.java:34) ~[elasticsearch-8.17.2.jar:?]",
"at org.elasticsearch.common.util.concurrent.ThreadContext$ContextPreservingAbstractRunnable.doRun(ThreadContext.java:1023) ~[elasticsearch-8.17.2.jar:?]",
"at org.elasticsearch.common.util.concurrent.AbstractRunnable.run(AbstractRunnable.java:27) ~[elasticsearch-8.17.2.jar:?]",
"at java.util.concurrent.ThreadPoolExecutor.runWorker(ThreadPoolExecutor.java:1144) ~[?:?]",
"at java.util.concurrent.ThreadPoolExecutor$Worker.run(ThreadPoolExecutor.java:642) ~[?:?]",
"at java.lang.Thread.run(Thread.java:1575) ~[?:?]",
"Caused by: java.lang.ArithmeticException: long overflow",
"at java.lang.Math.addExact(Math.java:932) ~[?:?]",
"at java.time.Instant.toEpochMilli(Instant.java:1287) ~[?:?]",
"at org.elasticsearch.index.mapper.DateFieldMapper$Resolution$1.convert(DateFieldMapper.java:101) ~[elasticsearch-8.17.2.jar:?]",
"at org.elasticsearch.index.mapper.DateFieldMapper$DateFieldType.parseToLong(DateFieldMapper.java:696) ~[elasticsearch-8.17.2.jar:?]",
"at org.elasticsearch.index.mapper.DateFieldMapper$DateFieldType.isFieldWithinQuery(DateFieldMapper.java:778) ~[elasticsearch-8.17.2.jar:?]",
"at org.elasticsearch.index.mapper.DateFieldMapper$DateFieldType.isFieldWithinQuery(DateFieldMapper.java:742) ~[elasticsearch-8.17.2.jar:?]",
"at org.elasticsearch.search.sort.FieldSortBuilder.isBottomSortShardDisjoint(FieldSortBuilder.java:426) ~[elasticsearch-8.17.2.jar:?]",
"at org.elasticsearch.search.internal.ShardSearchRequest$RequestRewritable.rewrite(ShardSearchRequest.java:593) ~[elasticsearch-8.17.2.jar:?]",
"at org.elasticsearch.search.internal.ShardSearchRequest$RequestRewritable.rewrite(ShardSearchRequest.java:577) ~[elasticsearch-8.17.2.jar:?]",
"at org.elasticsearch.index.query.Rewriteable.rewrite(Rewriteable.java:57) ~[elasticsearch-8.17.2.jar:?]",
"at org.elasticsearch.search.SearchService.createSearchContext(SearchService.java:1173) ~[elasticsearch-8.17.2.jar:?]",
"at org.elasticsearch.search.SearchService.createContext(SearchService.java:1103) ~[elasticsearch-8.17.2.jar:?]",
"at org.elasticsearch.search.SearchService.executeQueryPhase(SearchService.java:706) ~[elasticsearch-8.17.2.jar:?]",
"at org.elasticsearch.search.SearchService.lambda$executeQueryPhase$2(SearchService.java:576) ~[elasticsearch-8.17.2.jar:?]",
"at org.elasticsearch.action.ActionRunnable$3.accept(ActionRunnable.java:79) ~[elasticsearch-8.17.2.jar:?]",
"at org.elasticsearch.action.ActionRunnable$3.accept(ActionRunnable.java:76) ~[elasticsearch-8.17.2.jar:?]",
"at org.elasticsearch.action.ActionRunnable$4.doRun(ActionRunnable.java:101) ~[elasticsearch-8.17.2.jar:?]",
"at org.elasticsearch.common.util.concurrent.AbstractRunnable.run(AbstractRunnable.java:27) ~[elasticsearch-8.17.2.jar:?]",
"... 6 more"] }
```