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

#### Computed strongly connected components 
0. recursive  : [f1/5]
1. non_recursive  : [exit_location/1]
2. non_recursive  : [f30/3]
3. non_recursive  : [f1_loop_cont/4]
4. non_recursive  : [f20/3]

#### Obtained direct recursion through partial evaluation 
0. SCC is partially evaluated into f1/5
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/4
4. SCC is partially evaluated into f20/3

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

### Specialization of cost equations f1/5 
* CE 4 is refined into CE [7] 
* CE 3 is discarded (unfeasible) 
* CE 2 is refined into CE [8] 


### Cost equations --> "Loop" of f1/5 
* CEs [8] --> Loop 7 
* CEs [7] --> Loop 8 

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

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


### Specialization of cost equations f1_loop_cont/4 
* CE 6 is refined into CE [9] 
* CE 5 is refined into CE [10] 


### Cost equations --> "Loop" of f1_loop_cont/4 
* CEs [9] --> Loop 9 
* CEs [10] --> Loop 10 

### Ranking functions of CR f1_loop_cont(A,B,C,D) 

#### Partial ranking functions of CR f1_loop_cont(A,B,C,D) 


### Specialization of cost equations f20/3 
* CE 1 is refined into CE [11,12,13,14] 


### Cost equations --> "Loop" of f20/3 
* CEs [13,14] --> Loop 11 
* CEs [11,12] --> Loop 12 

### Ranking functions of CR f20(A,B,C) 

#### Partial ranking functions of CR f20(A,B,C) 


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

#### Cost of chains of f1(A,B,C,D,E):
* Chain [[7]]...: 1*it(7)+0
  with precondition: [A=B,A>=0] 

* Chain [[7],8]: 1*it(7)+0
  with precondition: [C=3,A=B,A>=0] 

* Chain [8]: 0
  with precondition: [C=3,B=A,B>=0] 


#### Cost of chains of f1_loop_cont(A,B,C,D):
* Chain [10]: 0
  with precondition: [A=2] 

* Chain [9]: 0
  with precondition: [A=3] 


#### Cost of chains of f20(A,B,C):
* Chain [12]: 1*aux(1)+0
  with precondition: [] 

* Chain [11]...: 1*aux(2)+0
  with precondition: [] 


Closed-form bounds of f20(A,B,C): 
-------------------------------------
* Chain [12] with precondition: [] 
    - Upper bound: inf 
    - Complexity: infinity 
* Chain [11]... with precondition: [] 
    - Upper bound: inf 
    - Complexity: infinity 

### Maximum cost of f20(A,B,C): inf 
Asymptotic class: infinity 
* Total analysis performed in 24 ms.

