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


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WORST_CASE(?,O(1))  

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

#### Computed strongly connected components 
0. recursive  : [eval_foo_bb1_in/3,eval_foo_bb2_in/3]
1. non_recursive  : [eval_foo_stop/1]
2. non_recursive  : [eval_foo_bb3_in/1]
3. non_recursive  : [eval_foo_bb1_in_loop_cont/2]
4. non_recursive  : [eval_foo_bb0_in/1]
5. non_recursive  : [eval_foo_start/3]

#### Obtained direct recursion through partial evaluation 
0. SCC is partially evaluated into eval_foo_bb1_in/3
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_foo_bb0_in/1
5. SCC is partially evaluated into eval_foo_start/3

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

### Specialization of cost equations eval_foo_bb1_in/3 
* 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_foo_bb1_in/3 
* CEs [7] --> Loop 6 
* CEs [8] --> Loop 7 
* CEs [6] --> Loop 8 

### Ranking functions of CR eval_foo_bb1_in(V__01,V__0,B) 
* RF of phase [6]: [V__01+1]
* RF of phase [7]: [-V__0+51,-V__01+51]

#### Partial ranking functions of CR eval_foo_bb1_in(V__01,V__0,B) 
* Partial RF of phase [6]:
  - RF of loop [6:1]:
    V__01+1
* Partial RF of phase [7]:
  - RF of loop [7:1]:
    -V__0+51
    -V__01+51


### Specialization of cost equations eval_foo_bb0_in/1 
* CE 2 is refined into CE [9] 


### Cost equations --> "Loop" of eval_foo_bb0_in/1 
* CEs [9] --> Loop 9 

### Ranking functions of CR eval_foo_bb0_in(B) 

#### Partial ranking functions of CR eval_foo_bb0_in(B) 


### Specialization of cost equations eval_foo_start/3 
* CE 1 is refined into CE [10] 


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

### Ranking functions of CR eval_foo_start(V_x,V_y,B) 

#### Partial ranking functions of CR eval_foo_start(V_x,V_y,B) 


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

#### Cost of chains of eval_foo_bb1_in(V__01,V__0,B):
* Chain [[7],[6],8]: 1*it(6)+1*it(7)+0
  Such that:it(6) =< 52
it(7) =< -V__01+51

  with precondition: [B=2,V__01=V__0,50>=V__01,V__01>=0] 


#### Cost of chains of eval_foo_bb0_in(B):
* Chain [9]: 1*s(1)+1*s(2)+0
  Such that:s(2) =< 51
s(1) =< 52

  with precondition: [] 


#### Cost of chains of eval_foo_start(V_x,V_y,B):
* Chain [10]: 1*s(3)+1*s(4)+0
  Such that:s(3) =< 51
s(4) =< 52

  with precondition: [] 


Closed-form bounds of eval_foo_start(V_x,V_y,B): 
-------------------------------------
* Chain [10] with precondition: [] 
    - Upper bound: 103 
    - Complexity: constant 

### Maximum cost of eval_foo_start(V_x,V_y,B): 103 
Asymptotic class: constant 
* Total analysis performed in 69 ms.