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

#### Computed strongly connected components 
0. recursive  : [f1/4]
1. non_recursive  : [exit_location/1]
2. non_recursive  : [f1_loop_cont/2]
3. non_recursive  : [f0/4]

#### Obtained direct recursion through partial evaluation 
0. SCC is partially evaluated into f1/4
1. SCC is completely evaluated into other SCCs
2. SCC is completely evaluated into other SCCs
3. SCC is partially evaluated into f0/4

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

### Specialization of cost equations f1/4 
* CE 3 is refined into CE [4] 
* CE 2 is refined into CE [5] 


### Cost equations --> "Loop" of f1/4 
* CEs [5] --> Loop 4 
* CEs [4] --> Loop 5 

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

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


### Specialization of cost equations f0/4 
* CE 1 is refined into CE [6,7,8] 


### Cost equations --> "Loop" of f0/4 
* CEs [8] --> Loop 6 
* CEs [7] --> Loop 7 
* CEs [6] --> Loop 8 

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

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


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

#### Cost of chains of f1(A,B,C,D):
* Chain [[4]]...: 1*it(4)+0
  with precondition: [A>=1,D=2] 

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

* Chain [5]: 0
  with precondition: [D=2] 


#### Cost of chains of f0(A,B,C,D):
* Chain [8]: 0
  with precondition: [] 

* Chain [7]: 1*s(1)+0
  with precondition: [A>=1] 

* Chain [6]...: 1*s(2)+0
  with precondition: [A>=1] 


Closed-form bounds of f0(A,B,C,D): 
-------------------------------------
* Chain [8] with precondition: [] 
    - Upper bound: 0 
    - Complexity: constant 
* Chain [7] with precondition: [A>=1] 
    - Upper bound: inf 
    - Complexity: infinity 
* Chain [6]... with precondition: [A>=1] 
    - Upper bound: inf 
    - Complexity: infinity 

### Maximum cost of f0(A,B,C,D): inf 
Asymptotic class: infinity 
* Total analysis performed in 15 ms.

