/export/starexec/sandbox2/solver/bin/starexec_run_C /export/starexec/sandbox2/benchmark/theBenchmark.c /export/starexec/sandbox2/output/output_files


--------------------------------------------------------------------------------


WORST_CASE(?,O(n^2))  

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

#### Computed strongly connected components 
0. recursive  : [eval_cousot9_bb1_in/4,eval_cousot9_bb2_in/4]
1. non_recursive  : [eval_cousot9_stop/1]
2. non_recursive  : [eval_cousot9_bb3_in/1]
3. non_recursive  : [eval_cousot9_bb1_in_loop_cont/2]
4. non_recursive  : [eval_cousot9_bb0_in/3]
5. non_recursive  : [eval_cousot9_start/3]

#### Obtained direct recursion through partial evaluation 
0. SCC is partially evaluated into eval_cousot9_bb1_in/4
1. SCC is completely evaluated into other SCCs
2. SCC is completely evaluated into other SCCs
3. SCC is completely evaluated into other SCCs
4. SCC is partially evaluated into eval_cousot9_bb0_in/3
5. SCC is partially evaluated into eval_cousot9_start/3

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

### Specialization of cost equations eval_cousot9_bb1_in/4 
* CE 5 is refined into CE [6] 
* CE 3 is refined into CE [7] 
* CE 4 is refined into CE [8] 


### Cost equations --> "Loop" of eval_cousot9_bb1_in/4 
* CEs [7] --> Loop 6 
* CEs [8] --> Loop 7 
* CEs [6] --> Loop 8 

### Ranking functions of CR eval_cousot9_bb1_in(V_N,V_i_0,V__0,B) 

#### Partial ranking functions of CR eval_cousot9_bb1_in(V_N,V_i_0,V__0,B) 
* Partial RF of phase [6,7]:
  - RF of loop [6:1]:
    -V__0+1 depends on loops [7:1] 
    V_i_0
  - RF of loop [7:1]:
    V__0 depends on loops [6:1] 


### Specialization of cost equations eval_cousot9_bb0_in/3 
* CE 2 is refined into CE [9,10] 


### Cost equations --> "Loop" of eval_cousot9_bb0_in/3 
* CEs [10] --> Loop 9 
* CEs [9] --> Loop 10 

### Ranking functions of CR eval_cousot9_bb0_in(V_j,V_N,B) 

#### Partial ranking functions of CR eval_cousot9_bb0_in(V_j,V_N,B) 


### Specialization of cost equations eval_cousot9_start/3 
* CE 1 is refined into CE [11,12] 


### Cost equations --> "Loop" of eval_cousot9_start/3 
* CEs [12] --> Loop 11 
* CEs [11] --> Loop 12 

### Ranking functions of CR eval_cousot9_start(V_j,V_N,B) 

#### Partial ranking functions of CR eval_cousot9_start(V_j,V_N,B) 


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

#### Cost of chains of eval_cousot9_bb1_in(V_N,V_i_0,V__0,B):
* Chain [[6,7],8]: 1*it(6)+1*it(7)+0
  Such that:aux(7) =< V_N
it(6) =< V_i_0
aux(4) =< V__0
aux(3) =< it(6)*aux(7)
it(7) =< aux(3)+aux(4)

  with precondition: [B=2,V_i_0>=1,V_N>=V_i_0] 

* Chain [8]: 0
  with precondition: [B=2,0>=V_i_0,V_N>=V_i_0] 


#### Cost of chains of eval_cousot9_bb0_in(V_j,V_N,B):
* Chain [10]: 0
  with precondition: [0>=V_N] 

* Chain [9]: 1*s(2)+1*s(5)+0
  Such that:s(3) =< V_j
aux(8) =< V_N
s(2) =< aux(8)
s(4) =< s(2)*aux(8)
s(5) =< s(4)+s(3)

  with precondition: [V_N>=1] 


#### Cost of chains of eval_cousot9_start(V_j,V_N,B):
* Chain [12]: 0
  with precondition: [0>=V_N] 

* Chain [11]: 1*s(8)+1*s(10)+0
  Such that:s(6) =< V_j
s(7) =< V_N
s(8) =< s(7)
s(9) =< s(8)*s(7)
s(10) =< s(9)+s(6)

  with precondition: [V_N>=1] 


Closed-form bounds of eval_cousot9_start(V_j,V_N,B): 
-------------------------------------
* Chain [12] with precondition: [0>=V_N] 
    - Upper bound: 0 
    - Complexity: constant 
* Chain [11] with precondition: [V_N>=1] 
    - Upper bound: nat(V_j)+V_N+V_N*V_N 
    - Complexity: n^2 

### Maximum cost of eval_cousot9_start(V_j,V_N,B): nat(V_N)+nat(V_j)+nat(V_N)*nat(V_N) 
Asymptotic class: n^2 
* Total analysis performed in 89 ms.