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

#### Computed strongly connected components 
0. recursive  : [f2/5]
1. non_recursive  : [exit_location/1]
2. non_recursive  : [f300/3]
3. non_recursive  : [f2_loop_cont/4]
4. non_recursive  : [f3/3]

#### Obtained direct recursion through partial evaluation 
0. SCC is partially evaluated into f2/5
1. SCC is completely evaluated into other SCCs
2. SCC is completely evaluated into other SCCs
3. SCC is partially evaluated into f2_loop_cont/4
4. SCC is partially evaluated into f3/3

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

### Specialization of cost equations f2/5 
* CE 5 is refined into CE [8] 
* CE 4 is refined into CE [9] 
* CE 3 is refined into CE [10] 
* CE 2 is refined into CE [11] 


### Cost equations --> "Loop" of f2/5 
* CEs [10] --> Loop 8 
* CEs [11] --> Loop 9 
* CEs [8] --> Loop 10 
* CEs [9] --> Loop 11 

### Ranking functions of CR f2(A,B,D,E,F) 

#### Partial ranking functions of CR f2(A,B,D,E,F) 


### Specialization of cost equations f2_loop_cont/4 
* CE 7 is refined into CE [12] 
* CE 6 is refined into CE [13] 


### Cost equations --> "Loop" of f2_loop_cont/4 
* CEs [12] --> Loop 12 
* CEs [13] --> Loop 13 

### Ranking functions of CR f2_loop_cont(A,B,C,D) 

#### Partial ranking functions of CR f2_loop_cont(A,B,C,D) 


### Specialization of cost equations f3/3 
* CE 1 is refined into CE [14,15,16,17,18] 


### Cost equations --> "Loop" of f3/3 
* CEs [17,18] --> Loop 14 
* CEs [14] --> Loop 15 
* CEs [15,16] --> Loop 16 

### Ranking functions of CR f3(A,B,D) 

#### Partial ranking functions of CR f3(A,B,D) 


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

#### Cost of chains of f2(A,B,D,E,F):
* Chain [[8,9]]...: 2*it(8)+0
  with precondition: [] 

* Chain [[8,9],11]: 2*it(8)+0
  with precondition: [D=2,E=0] 

* Chain [[8,9],10]: 2*it(8)+0
  with precondition: [D=3] 

* Chain [11]: 0
  with precondition: [A=0,D=2,E=0] 

* Chain [10]: 0
  with precondition: [D=3] 


#### Cost of chains of f2_loop_cont(A,B,C,D):
* Chain [13]: 0
  with precondition: [A=2] 

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


#### Cost of chains of f3(A,B,D):
* Chain [16]: 1*aux(2)+0
  with precondition: [] 

* Chain [15]: 0
  with precondition: [A=0] 

* Chain [14]...: 1*aux(3)+0
  with precondition: [] 


Closed-form bounds of f3(A,B,D): 
-------------------------------------
* Chain [16] with precondition: [] 
    - Upper bound: inf 
    - Complexity: infinity 
* Chain [15] with precondition: [A=0] 
    - Upper bound: 0 
    - Complexity: constant 
* Chain [14]... with precondition: [] 
    - Upper bound: inf 
    - Complexity: infinity 

### Maximum cost of f3(A,B,D): inf 
Asymptotic class: infinity 
* Total analysis performed in 29 ms.

