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

#### Computed strongly connected components 
0. recursive  : [f4/2]
1. non_recursive  : [exit_location/1]
2. non_recursive  : [f4_loop_cont/2]
3. non_recursive  : [f1/2]

#### Obtained direct recursion through partial evaluation 
0. SCC is partially evaluated into f4/2
1. SCC is completely evaluated into other SCCs
2. SCC is completely evaluated into other SCCs
3. SCC is partially evaluated into f1/2

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

### Specialization of cost equations f4/2 
* CE 3 is refined into CE [4] 
* CE 2 is refined into CE [5] 


### Cost equations --> "Loop" of f4/2 
* CEs [5] --> Loop 4 
* CEs [4] --> Loop 5 

### Ranking functions of CR f4(A,B) 

#### Partial ranking functions of CR f4(A,B) 


### Specialization of cost equations f1/2 
* CE 1 is refined into CE [6,7] 


### Cost equations --> "Loop" of f1/2 
* CEs [7] --> Loop 6 
* CEs [6] --> Loop 7 

### Ranking functions of CR f1(A,B) 

#### Partial ranking functions of CR f1(A,B) 


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

#### Cost of chains of f4(A,B):
* Chain [[4]]...: 1*it(4)+0
  with precondition: [A=3,B=2] 

* Chain [[4],5]: 1*it(4)+0
  with precondition: [A=3,B=2] 

* Chain [5]: 0
  with precondition: [A=3,B=2] 


#### Cost of chains of f1(A,B):
* Chain [7]: 1*s(2)+0
  with precondition: [] 

* Chain [6]...: 1*s(3)+0
  with precondition: [] 


Closed-form bounds of f1(A,B): 
-------------------------------------
* Chain [7] with precondition: [] 
    - Upper bound: inf 
    - Complexity: infinity 
* Chain [6]... with precondition: [] 
    - Upper bound: inf 
    - Complexity: infinity 

### Maximum cost of f1(A,B): inf 
Asymptotic class: infinity 
* Total analysis performed in 10 ms.

