Column pruning for filter/agg/join/sort.
#### For agg
Pattern : agg()
Transformed:
```
agg
|
project
|
child
```
#### For filter()/sort():
Pattern: project(filter()/join()/sort())
Transformed:
```
project
|
filter/sort
|
project
|
child
```
#### For join
Pattern: project(join())
Transformed:
```
project
|
join
/ \
project project
| |
child child
```
for example:
```sql
table a: k1,v1
table b: k1,k2,k3,v1
select a.k1,b.k2 from a,b on a.k1 = b.k1 where a.k1 > 1
```
origin plan tree:
```
project(a.k1,b.k2 )
|
join(a:k1,v1 b:k1,k2,k3,v1)
/ \
scan(a:k1,v1) scan(b:k1,k2,k3,v1)
```
transformed plan tree:
```
project(a.k1,b.k2 )
|
join(a:k1 b:k1,k2)
/ \
project(k1) project(k1,k2)
| |
scan(a:k1,v1) scan(b:k1,k2,k3,v1)
```
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