|
1: |
|
app(app(map,f),nil) |
→ nil |
2: |
|
app(app(map,f),app(app(cons,x),xs)) |
→ app(app(cons,app(f,x)),app(app(map,f),xs)) |
3: |
|
app(app(append,xs),nil) |
→ xs |
4: |
|
app(app(append,nil),ys) |
→ ys |
5: |
|
app(app(append,app(app(cons,x),xs)),ys) |
→ app(app(cons,x),app(app(append,xs),ys)) |
6: |
|
app(app(zip,nil),yss) |
→ yss |
7: |
|
app(app(zip,xss),nil) |
→ xss |
8: |
|
app(app(zip,app(app(cons,xs),xss)),app(app(cons,ys),yss)) |
→ app(app(cons,app(app(append,xs),ys)),app(app(zip,xss),yss)) |
9: |
|
app(app(combine,xs),nil) |
→ xs |
10: |
|
app(app(combine,xs),app(app(cons,ys),yss)) |
→ app(app(combine,app(app(zip,xs),ys)),yss) |
11: |
|
app(levels,app(app(node,x),xs)) |
→ app(app(cons,app(app(cons,x),nil)),app(app(combine,nil),app(app(map,levels),xs))) |
|
There are 25 dependency pairs:
|
12: |
|
APP(app(map,f),app(app(cons,x),xs)) |
→ APP(app(cons,app(f,x)),app(app(map,f),xs)) |
13: |
|
APP(app(map,f),app(app(cons,x),xs)) |
→ APP(cons,app(f,x)) |
14: |
|
APP(app(map,f),app(app(cons,x),xs)) |
→ APP(f,x) |
15: |
|
APP(app(map,f),app(app(cons,x),xs)) |
→ APP(app(map,f),xs) |
16: |
|
APP(app(append,app(app(cons,x),xs)),ys) |
→ APP(app(cons,x),app(app(append,xs),ys)) |
17: |
|
APP(app(append,app(app(cons,x),xs)),ys) |
→ APP(app(append,xs),ys) |
18: |
|
APP(app(append,app(app(cons,x),xs)),ys) |
→ APP(append,xs) |
19: |
|
APP(app(zip,app(app(cons,xs),xss)),app(app(cons,ys),yss)) |
→ APP(app(cons,app(app(append,xs),ys)),app(app(zip,xss),yss)) |
20: |
|
APP(app(zip,app(app(cons,xs),xss)),app(app(cons,ys),yss)) |
→ APP(cons,app(app(append,xs),ys)) |
21: |
|
APP(app(zip,app(app(cons,xs),xss)),app(app(cons,ys),yss)) |
→ APP(app(append,xs),ys) |
22: |
|
APP(app(zip,app(app(cons,xs),xss)),app(app(cons,ys),yss)) |
→ APP(append,xs) |
23: |
|
APP(app(zip,app(app(cons,xs),xss)),app(app(cons,ys),yss)) |
→ APP(app(zip,xss),yss) |
24: |
|
APP(app(zip,app(app(cons,xs),xss)),app(app(cons,ys),yss)) |
→ APP(zip,xss) |
25: |
|
APP(app(combine,xs),app(app(cons,ys),yss)) |
→ APP(app(combine,app(app(zip,xs),ys)),yss) |
26: |
|
APP(app(combine,xs),app(app(cons,ys),yss)) |
→ APP(combine,app(app(zip,xs),ys)) |
27: |
|
APP(app(combine,xs),app(app(cons,ys),yss)) |
→ APP(app(zip,xs),ys) |
28: |
|
APP(app(combine,xs),app(app(cons,ys),yss)) |
→ APP(zip,xs) |
29: |
|
APP(levels,app(app(node,x),xs)) |
→ APP(app(cons,app(app(cons,x),nil)),app(app(combine,nil),app(app(map,levels),xs))) |
30: |
|
APP(levels,app(app(node,x),xs)) |
→ APP(cons,app(app(cons,x),nil)) |
31: |
|
APP(levels,app(app(node,x),xs)) |
→ APP(app(cons,x),nil) |
32: |
|
APP(levels,app(app(node,x),xs)) |
→ APP(cons,x) |
33: |
|
APP(levels,app(app(node,x),xs)) |
→ APP(app(combine,nil),app(app(map,levels),xs)) |
34: |
|
APP(levels,app(app(node,x),xs)) |
→ APP(combine,nil) |
35: |
|
APP(levels,app(app(node,x),xs)) |
→ APP(app(map,levels),xs) |
36: |
|
APP(levels,app(app(node,x),xs)) |
→ APP(map,levels) |
|
The approximated dependency graph contains one SCC:
{12,14-17,19,21,23,25,27,29,31,33,35}.