
Preprocessing Cost Relations
=====================================

#### Computed strongly connected components 
0. recursive  : [f15/6]
1. recursive  : [f15_loop_cont/10,f9/9]
2. non_recursive  : [exit_location/1]
3. recursive  : [f23/1]
4. non_recursive  : [f23_loop_cont/2]
5. non_recursive  : [f9_loop_cont/6]
6. non_recursive  : [f0/5]

#### Obtained direct recursion through partial evaluation 
0. SCC is partially evaluated into f15/6
1. SCC is partially evaluated into f9/9
2. SCC is completely evaluated into other SCCs
3. SCC is partially evaluated into f23/1
4. SCC is completely evaluated into other SCCs
5. SCC is partially evaluated into f9_loop_cont/6
6. SCC is partially evaluated into f0/5

Control-Flow Refinement of Cost Relations
=====================================

### Specialization of cost equations f15/6 
* CE 10 is refined into CE [13] 
* CE 9 is discarded (unfeasible) 
* CE 8 is refined into CE [14] 


### Cost equations --> "Loop" of f15/6 
* CEs [14] --> Loop 13 
* CEs [13] --> Loop 14 

### Ranking functions of CR f15(A,C,D,F,G,H) 

#### Partial ranking functions of CR f15(A,C,D,F,G,H) 


### Specialization of cost equations f9/9 
* CE 4 is refined into CE [15] 
* CE 2 is refined into CE [16,17] 
* CE 5 is refined into CE [18] 
* CE 3 is refined into CE [19] 


### Cost equations --> "Loop" of f9/9 
* CEs [19] --> Loop 15 
* CEs [15] --> Loop 16 
* CEs [16] --> Loop 17 
* CEs [18] --> Loop 18 
* CEs [17] --> Loop 19 

### Ranking functions of CR f9(A,B,C,D,F,G,H,I,J) 

#### Partial ranking functions of CR f9(A,B,C,D,F,G,H,I,J) 


### Specialization of cost equations f23/1 
* CE 12 is refined into CE [20] 
* CE 11 is refined into CE [21] 


### Cost equations --> "Loop" of f23/1 
* CEs [21] --> Loop 20 
* CEs [20] --> Loop 21 

### Ranking functions of CR f23(F) 

#### Partial ranking functions of CR f23(F) 


### Specialization of cost equations f9_loop_cont/6 
* CE 7 is refined into CE [22,23] 
* CE 6 is refined into CE [24] 


### Cost equations --> "Loop" of f9_loop_cont/6 
* CEs [22] --> Loop 22 
* CEs [24] --> Loop 23 
* CEs [23] --> Loop 24 

### Ranking functions of CR f9_loop_cont(A,B,C,D,E,F) 

#### Partial ranking functions of CR f9_loop_cont(A,B,C,D,E,F) 


### Specialization of cost equations f0/5 
* CE 1 is refined into CE [25,26,27,28,29,30,31,32,33,34] 


### Cost equations --> "Loop" of f0/5 
* CEs [28,30,31,32,33,34] --> Loop 25 
* CEs [25,26,27,29] --> Loop 26 

### Ranking functions of CR f0(A,B,C,D,F) 

#### Partial ranking functions of CR f0(A,B,C,D,F) 


Computing Bounds
=====================================

#### Cost of chains of f15(A,C,D,F,G,H):
* Chain [[13]]...: 1*it(13)+0
  with precondition: [0>=A,C>=1,F>=2,3>=F] 

* Chain [[13],14]: 1*it(13)+0
  with precondition: [F=3,0>=A,C>=1] 

* Chain [14]: 0
  with precondition: [F=3,0>=A,C>=1] 


#### Cost of chains of f9(A,B,C,D,F,G,H,I,J):
* Chain [[15]]...: 2*it(15)+0
  with precondition: [0>=A,B=0] 

* Chain [[15],19]...: 3*it(15)+0
  with precondition: [B=0,F=3,0>=A] 

* Chain [[15],18]: 2*it(15)+0
  with precondition: [B=0,F=3,0>=A] 

* Chain [[15],17]: 3*it(15)+0
  with precondition: [B=0,F=3,0>=A] 

* Chain [[15],16]: 2*it(15)+0
  with precondition: [B=0,F=4,H=0,0>=A,G>=1,I>=1] 

* Chain [19]...: 1*s(5)+0
  with precondition: [B=0,F=3,0>=A] 

* Chain [18]: 0
  with precondition: [B=0,F=3] 

* Chain [17]: 1*s(6)+0
  with precondition: [B=0,F=3,0>=A] 

* Chain [16]: 0
  with precondition: [B=0,F=4,H=0,I=C,J=D,A=G,A>=1] 


#### Cost of chains of f23(F):
* Chain [[20]]...: 1*it(20)+0
  with precondition: [F=3] 

* Chain [[20],21]: 1*it(20)+0
  with precondition: [F=3] 

* Chain [21]: 0
  with precondition: [F=3] 


#### Cost of chains of f9_loop_cont(A,B,C,D,E,F):
* Chain [24]...: 1*s(13)+0
  with precondition: [A=4] 

* Chain [23]: 0
  with precondition: [A=3] 

* Chain [22]: 1*s(14)+0
  with precondition: [A=4] 


#### Cost of chains of f0(A,B,C,D,F):
* Chain [26]: 1*aux(5)+0
  with precondition: [] 

* Chain [25]...: 1*aux(6)+0
  with precondition: [] 


Closed-form bounds of f0(A,B,C,D,F): 
-------------------------------------
* Chain [26] with precondition: [] 
    - Upper bound: inf 
    - Complexity: infinity 
* Chain [25]... with precondition: [] 
    - Upper bound: inf 
    - Complexity: infinity 

### Maximum cost of f0(A,B,C,D,F): inf 
Asymptotic class: infinity 
* Total analysis performed in 75 ms.

