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

#### Computed strongly connected components 
0. recursive  : [f300/9]
1. non_recursive  : [exit_location/1]
2. non_recursive  : [f1/5]
3. non_recursive  : [f300_loop_cont/6]
4. non_recursive  : [f2/5]

#### Obtained direct recursion through partial evaluation 
0. SCC is partially evaluated into f300/9
1. SCC is completely evaluated into other SCCs
2. SCC is completely evaluated into other SCCs
3. SCC is partially evaluated into f300_loop_cont/6
4. SCC is partially evaluated into f2/5

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

### Specialization of cost equations f300/9 
* CE 7 is refined into CE [10] 
* CE 6 is refined into CE [11] 
* CE 5 is refined into CE [12] 
* CE 2 is refined into CE [13] 
* CE 3 is refined into CE [14] 
* CE 4 is refined into CE [15] 


### Cost equations --> "Loop" of f300/9 
* CEs [13] --> Loop 10 
* CEs [14] --> Loop 11 
* CEs [15] --> Loop 12 
* CEs [10] --> Loop 13 
* CEs [11] --> Loop 14 
* CEs [12] --> Loop 15 

### Ranking functions of CR f300(A,B,C,D,F,G,H,I,J) 

#### Partial ranking functions of CR f300(A,B,C,D,F,G,H,I,J) 
* Partial RF of phase [10,11,12]:
  - RF of loop [10:1,11:1]:
    B depends on loops [12:1] 
  - RF of loop [12:1]:
    A depends on loops [10:1,11:1] 


### Specialization of cost equations f300_loop_cont/6 
* CE 9 is refined into CE [16] 
* CE 8 is refined into CE [17] 


### Cost equations --> "Loop" of f300_loop_cont/6 
* CEs [16] --> Loop 16 
* CEs [17] --> Loop 17 

### Ranking functions of CR f300_loop_cont(A,B,C,D,E,F) 

#### Partial ranking functions of CR f300_loop_cont(A,B,C,D,E,F) 


### Specialization of cost equations f2/5 
* CE 1 is refined into CE [18,19,20,21,22,23,24] 


### Cost equations --> "Loop" of f2/5 
* CEs [23,24] --> Loop 18 
* CEs [20,22] --> Loop 19 
* CEs [18] --> Loop 20 
* CEs [19] --> Loop 21 
* CEs [21] --> Loop 22 

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

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


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

#### Cost of chains of f300(A,B,C,D,F,G,H,I,J):
* Chain [[10,11,12]]...: 3*it(10)+0
  with precondition: [B>=1,A>=1] 

* Chain [[10,11,12],14]: 3*it(10)+0
  with precondition: [F=2,0>=H,A>=1,B>=1,G>=0,H+1>=G] 

* Chain [[10,11,12],13]: 3*it(10)+0
  with precondition: [F=3,A>=1,B>=1] 

* Chain [15]: 0
  with precondition: [F=2,I=C,A=G,B=H,0>=A,B>=1] 

* Chain [14]: 0
  with precondition: [F=2,G=A,I=C,B=H,0>=B] 

* Chain [13]: 0
  with precondition: [F=3] 


#### Cost of chains of f300_loop_cont(A,B,C,D,E,F):
* Chain [17]: 0
  with precondition: [A=2] 

* Chain [16]: 0
  with precondition: [A=3] 


#### Cost of chains of f2(A,B,C,D,F):
* Chain [22]: 0
  with precondition: [] 

* Chain [21]: 0
  with precondition: [0>=A,B>=1] 

* Chain [20]: 0
  with precondition: [0>=B] 

* Chain [19]: 1*aux(28)+0
  with precondition: [A>=1,B>=1] 

* Chain [18]...: 1*aux(29)+0
  with precondition: [A>=1,B>=1] 


Closed-form bounds of f2(A,B,C,D,F): 
-------------------------------------
* Chain [22] with precondition: [] 
    - Upper bound: 0 
    - Complexity: constant 
* Chain [21] with precondition: [0>=A,B>=1] 
    - Upper bound: 0 
    - Complexity: constant 
* Chain [20] with precondition: [0>=B] 
    - Upper bound: 0 
    - Complexity: constant 
* Chain [19] with precondition: [A>=1,B>=1] 
    - Upper bound: inf 
    - Complexity: infinity 
* Chain [18]... with precondition: [A>=1,B>=1] 
    - Upper bound: inf 
    - Complexity: infinity 

### Maximum cost of f2(A,B,C,D,F): inf 
Asymptotic class: infinity 
* Total analysis performed in 125 ms.

