0.04/0.15	WORST_CASE(?,O(1))  
0.04/0.15	
0.04/0.15	Preprocessing Cost Relations
0.04/0.15	=====================================
0.04/0.15	
0.04/0.15	#### Computed strongly connected components 
0.04/0.15	0. recursive  : [eval_easy1_bb1_in/3,eval_easy1_bb2_in/3]
0.04/0.15	1. non_recursive  : [eval_easy1_stop/1]
0.04/0.15	2. non_recursive  : [eval_easy1_bb3_in/1]
0.04/0.15	3. non_recursive  : [eval_easy1_bb1_in_loop_cont/2]
0.04/0.15	4. non_recursive  : [eval_easy1_bb0_in/1]
0.04/0.15	5. non_recursive  : [eval_easy1_start/1]
0.04/0.15	
0.04/0.15	#### Obtained direct recursion through partial evaluation 
0.04/0.15	0. SCC is partially evaluated into eval_easy1_bb1_in/3
0.04/0.15	1. SCC is completely evaluated into other SCCs
0.04/0.15	2. SCC is completely evaluated into other SCCs
0.04/0.15	3. SCC is completely evaluated into other SCCs
0.04/0.15	4. SCC is partially evaluated into eval_easy1_bb0_in/1
0.04/0.15	5. SCC is partially evaluated into eval_easy1_start/1
0.04/0.15	
0.04/0.15	Control-Flow Refinement of Cost Relations
0.04/0.15	=====================================
0.04/0.15	
0.04/0.15	### Specialization of cost equations eval_easy1_bb1_in/3 
0.04/0.15	* CE 6 is refined into CE [7] 
0.04/0.15	* CE 3 is refined into CE [8] 
0.04/0.15	* CE 4 is refined into CE [9] 
0.04/0.15	* CE 5 is refined into CE [10] 
0.04/0.15	
0.04/0.15	
0.04/0.15	### Cost equations --> "Loop" of eval_easy1_bb1_in/3 
0.04/0.15	* CEs [8] --> Loop 7 
0.04/0.15	* CEs [9] --> Loop 8 
0.04/0.15	* CEs [10] --> Loop 9 
0.04/0.15	* CEs [7] --> Loop 10 
0.04/0.15	
0.04/0.15	### Ranking functions of CR eval_easy1_bb1_in(V_0,V_x_0,B) 
0.04/0.15	* RF of phase [7]: [-V_x_0/2+20]
0.04/0.15	* RF of phase [8]: [-V_x_0/2+20]
0.04/0.15	* RF of phase [9]: [-V_x_0+40]
0.04/0.15	
0.04/0.15	#### Partial ranking functions of CR eval_easy1_bb1_in(V_0,V_x_0,B) 
0.04/0.15	* Partial RF of phase [7]:
0.04/0.15	  - RF of loop [7:1]:
0.04/0.15	    -V_x_0/2+20
0.04/0.15	* Partial RF of phase [8]:
0.04/0.15	  - RF of loop [8:1]:
0.04/0.15	    -V_x_0/2+20
0.04/0.15	* Partial RF of phase [9]:
0.04/0.15	  - RF of loop [9:1]:
0.04/0.15	    -V_x_0+40
0.04/0.15	
0.04/0.15	
0.04/0.15	### Specialization of cost equations eval_easy1_bb0_in/1 
0.04/0.15	* CE 2 is refined into CE [11,12,13] 
0.04/0.15	
0.04/0.15	
0.04/0.15	### Cost equations --> "Loop" of eval_easy1_bb0_in/1 
0.04/0.15	* CEs [11,12,13] --> Loop 11 
0.04/0.15	
0.04/0.15	### Ranking functions of CR eval_easy1_bb0_in(B) 
0.04/0.15	
0.04/0.15	#### Partial ranking functions of CR eval_easy1_bb0_in(B) 
0.04/0.15	
0.04/0.15	
0.04/0.15	### Specialization of cost equations eval_easy1_start/1 
0.04/0.15	* CE 1 is refined into CE [14] 
0.04/0.15	
0.04/0.15	
0.04/0.15	### Cost equations --> "Loop" of eval_easy1_start/1 
0.04/0.15	* CEs [14] --> Loop 12 
0.04/0.15	
0.04/0.15	### Ranking functions of CR eval_easy1_start(B) 
0.04/0.15	
0.04/0.15	#### Partial ranking functions of CR eval_easy1_start(B) 
0.04/0.15	
0.04/0.15	
0.04/0.15	Computing Bounds
0.04/0.15	=====================================
0.04/0.15	
0.04/0.15	#### Cost of chains of eval_easy1_bb1_in(V_0,V_x_0,B):
0.04/0.15	* Chain [[9],10]: 1*it(9)+0
0.04/0.15	  Such that:it(9) =< -V_x_0+40
0.04/0.15	
0.04/0.15	  with precondition: [V_0=0,B=2,39>=V_x_0,V_x_0>=0] 
0.04/0.15	
0.04/0.15	* Chain [[8],10]: 1*it(8)+0
0.04/0.15	  Such that:it(8) =< -V_x_0/2+20
0.04/0.15	
0.04/0.15	  with precondition: [B=2,0>=V_0+1,39>=V_x_0,V_x_0>=0] 
0.04/0.15	
0.04/0.15	* Chain [[7],10]: 1*it(7)+0
0.04/0.15	  Such that:it(7) =< -V_x_0/2+20
0.04/0.15	
0.04/0.15	  with precondition: [B=2,39>=V_x_0,V_0>=1,V_x_0>=0] 
0.04/0.15	
0.04/0.15	
0.04/0.15	#### Cost of chains of eval_easy1_bb0_in(B):
0.04/0.15	* Chain [11]: 80
0.04/0.15	  with precondition: [] 
0.04/0.15	
0.04/0.15	
0.04/0.15	#### Cost of chains of eval_easy1_start(B):
0.04/0.15	* Chain [12]: 80
0.04/0.15	  with precondition: [] 
0.04/0.15	
0.04/0.15	
0.04/0.15	Closed-form bounds of eval_easy1_start(B): 
0.04/0.15	-------------------------------------
0.04/0.15	* Chain [12] with precondition: [] 
0.04/0.15	    - Upper bound: 80 
0.04/0.15	    - Complexity: constant 
0.04/0.15	
0.04/0.15	### Maximum cost of eval_easy1_start(B): 80 
0.04/0.15	Asymptotic class: constant 
0.04/0.15	* Total analysis performed in 86 ms.
0.04/0.15	
0.04/0.26	EOF