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

#### Computed strongly connected components 
0. recursive  : [f1/13]
1. non_recursive  : [exit_location/1]
2. non_recursive  : [f300/10]
3. non_recursive  : [f1_loop_cont/11]
4. non_recursive  : [f2/10]

#### Obtained direct recursion through partial evaluation 
0. SCC is partially evaluated into f1/13
1. SCC is completely evaluated into other SCCs
2. SCC is completely evaluated into other SCCs
3. SCC is partially evaluated into f1_loop_cont/11
4. SCC is partially evaluated into f2/10

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

### Specialization of cost equations f1/13 
* CE 6 is refined into CE [9] 
* CE 5 is refined into CE [10] 
* CE 2 is refined into CE [11] 
* CE 3 is refined into CE [12] 
* CE 4 is refined into CE [13] 


### Cost equations --> "Loop" of f1/13 
* CEs [11] --> Loop 9 
* CEs [12] --> Loop 10 
* CEs [13] --> Loop 11 
* CEs [9] --> Loop 12 
* CEs [10] --> Loop 13 

### Ranking functions of CR f1(A,B,C,D,E,F,G,N,O,P,Q,R,S) 

#### Partial ranking functions of CR f1(A,B,C,D,E,F,G,N,O,P,Q,R,S) 


### Specialization of cost equations f1_loop_cont/11 
* CE 8 is refined into CE [14] 
* CE 7 is refined into CE [15] 


### Cost equations --> "Loop" of f1_loop_cont/11 
* CEs [14] --> Loop 14 
* CEs [15] --> Loop 15 

### Ranking functions of CR f1_loop_cont(A,B,C,D,E,F,G,H,I,J,K) 

#### Partial ranking functions of CR f1_loop_cont(A,B,C,D,E,F,G,H,I,J,K) 


### Specialization of cost equations f2/10 
* CE 1 is refined into CE [16,17,18,19,20] 


### Cost equations --> "Loop" of f2/10 
* CEs [19,20] --> Loop 16 
* CEs [16] --> Loop 17 
* CEs [18] --> Loop 18 
* CEs [17] --> Loop 19 

### Ranking functions of CR f2(A,B,C,D,E,F,G,H,I,N) 

#### Partial ranking functions of CR f2(A,B,C,D,E,F,G,H,I,N) 


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

#### Cost of chains of f1(A,B,C,D,E,F,G,N,O,P,Q,R,S):
* Chain [[9,10,11]]...: 3*it(9)+0
  with precondition: [B>=A+1] 

* Chain [[9,10,11],12]: 3*it(9)+0
  with precondition: [N=3,B>=A+1] 

* Chain [13]: 0
  with precondition: [N=2,Q=E,R=F,A>=B] 

* Chain [12]: 0
  with precondition: [N=3] 


#### Cost of chains of f1_loop_cont(A,B,C,D,E,F,G,H,I,J,K):
* Chain [15]: 0
  with precondition: [A=2] 

* Chain [14]: 0
  with precondition: [A=3] 


#### Cost of chains of f2(A,B,C,D,E,F,G,H,I,N):
* Chain [19]: 0
  with precondition: [] 

* Chain [18]: 3*s(1)+0
  with precondition: [B>=A+1] 

* Chain [17]: 0
  with precondition: [A>=B] 

* Chain [16]...: 1*aux(1)+0
  with precondition: [B>=A+1] 


Closed-form bounds of f2(A,B,C,D,E,F,G,H,I,N): 
-------------------------------------
* Chain [19] with precondition: [] 
    - Upper bound: 0 
    - Complexity: constant 
* Chain [18] with precondition: [B>=A+1] 
    - Upper bound: inf 
    - Complexity: infinity 
* Chain [17] with precondition: [A>=B] 
    - Upper bound: 0 
    - Complexity: constant 
* Chain [16]... with precondition: [B>=A+1] 
    - Upper bound: inf 
    - Complexity: infinity 

### Maximum cost of f2(A,B,C,D,E,F,G,H,I,N): inf 
Asymptotic class: infinity 
* Total analysis performed in 65 ms.

