0.05/0.13	WORST_CASE(?,O(n^1))  
0.05/0.13	
0.05/0.13	Preprocessing Cost Relations
0.05/0.13	=====================================
0.05/0.13	
0.05/0.13	#### Computed strongly connected components 
0.05/0.13	0. recursive  : [eval_t10_0/3,eval_t10_1/4,eval_t10_bb1_in/3,eval_t10_bb2_in/3]
0.05/0.13	1. non_recursive  : [eval_t10_stop/1]
0.05/0.13	2. non_recursive  : [eval_t10_bb3_in/1]
0.05/0.13	3. non_recursive  : [eval_t10_bb1_in_loop_cont/2]
0.05/0.13	4. non_recursive  : [eval_t10_bb0_in/3]
0.05/0.13	5. non_recursive  : [eval_t10_start/3]
0.05/0.13	
0.05/0.13	#### Obtained direct recursion through partial evaluation 
0.05/0.13	0. SCC is partially evaluated into eval_t10_bb1_in/3
0.05/0.13	1. SCC is completely evaluated into other SCCs
0.05/0.13	2. SCC is completely evaluated into other SCCs
0.05/0.13	3. SCC is completely evaluated into other SCCs
0.05/0.13	4. SCC is partially evaluated into eval_t10_bb0_in/3
0.05/0.13	5. SCC is partially evaluated into eval_t10_start/3
0.05/0.13	
0.05/0.13	Control-Flow Refinement of Cost Relations
0.05/0.13	=====================================
0.05/0.13	
0.05/0.13	### Specialization of cost equations eval_t10_bb1_in/3 
0.05/0.13	* CE 5 is refined into CE [6] 
0.05/0.13	* CE 3 is refined into CE [7] 
0.05/0.13	* CE 4 is refined into CE [8] 
0.05/0.13	
0.05/0.13	
0.05/0.13	### Cost equations --> "Loop" of eval_t10_bb1_in/3 
0.05/0.13	* CEs [7] --> Loop 6 
0.05/0.13	* CEs [8] --> Loop 7 
0.05/0.13	* CEs [6] --> Loop 8 
0.05/0.13	
0.05/0.13	### Ranking functions of CR eval_t10_bb1_in(V__01,V__0,B) 
0.05/0.13	* RF of phase [6,7]: [-V__01+V__0]
0.05/0.13	
0.05/0.13	#### Partial ranking functions of CR eval_t10_bb1_in(V__01,V__0,B) 
0.05/0.13	* Partial RF of phase [6,7]:
0.05/0.13	  - RF of loop [6:1,7:1]:
0.05/0.13	    -V__01+V__0
0.05/0.13	
0.05/0.13	
0.05/0.13	### Specialization of cost equations eval_t10_bb0_in/3 
0.05/0.13	* CE 2 is refined into CE [9,10] 
0.05/0.13	
0.05/0.13	
0.05/0.13	### Cost equations --> "Loop" of eval_t10_bb0_in/3 
0.05/0.13	* CEs [9] --> Loop 9 
0.05/0.13	* CEs [10] --> Loop 10 
0.05/0.13	
0.05/0.13	### Ranking functions of CR eval_t10_bb0_in(V_x,V_y,B) 
0.05/0.13	
0.05/0.13	#### Partial ranking functions of CR eval_t10_bb0_in(V_x,V_y,B) 
0.05/0.13	
0.05/0.13	
0.05/0.13	### Specialization of cost equations eval_t10_start/3 
0.05/0.13	* CE 1 is refined into CE [11,12] 
0.05/0.13	
0.05/0.13	
0.05/0.13	### Cost equations --> "Loop" of eval_t10_start/3 
0.05/0.13	* CEs [12] --> Loop 11 
0.05/0.13	* CEs [11] --> Loop 12 
0.05/0.13	
0.05/0.13	### Ranking functions of CR eval_t10_start(V_x,V_y,B) 
0.05/0.13	
0.05/0.13	#### Partial ranking functions of CR eval_t10_start(V_x,V_y,B) 
0.05/0.13	
0.05/0.13	
0.05/0.13	Computing Bounds
0.05/0.13	=====================================
0.05/0.13	
0.05/0.13	#### Cost of chains of eval_t10_bb1_in(V__01,V__0,B):
0.05/0.13	* Chain [[6,7],8]: 2*it(6)+0
0.05/0.13	  Such that:aux(3) =< -V__01+V__0
0.05/0.13	it(6) =< aux(3)
0.05/0.13	
0.05/0.13	  with precondition: [B=2,V__0>=V__01+1] 
0.05/0.13	
0.05/0.13	* Chain [8]: 0
0.05/0.13	  with precondition: [B=2,V__01>=V__0] 
0.05/0.13	
0.05/0.13	
0.05/0.13	#### Cost of chains of eval_t10_bb0_in(V_x,V_y,B):
0.05/0.13	* Chain [10]: 0
0.05/0.13	  with precondition: [V_y>=V_x] 
0.05/0.13	
0.05/0.13	* Chain [9]: 2*s(2)+0
0.05/0.13	  Such that:s(1) =< V_x-V_y
0.05/0.13	s(2) =< s(1)
0.05/0.13	
0.05/0.13	  with precondition: [V_x>=V_y+1] 
0.05/0.13	
0.05/0.13	
0.05/0.13	#### Cost of chains of eval_t10_start(V_x,V_y,B):
0.05/0.13	* Chain [12]: 0
0.05/0.13	  with precondition: [V_y>=V_x] 
0.05/0.13	
0.05/0.13	* Chain [11]: 2*s(4)+0
0.05/0.13	  Such that:s(3) =< V_x-V_y
0.05/0.13	s(4) =< s(3)
0.05/0.13	
0.05/0.13	  with precondition: [V_x>=V_y+1] 
0.05/0.13	
0.05/0.13	
0.05/0.13	Closed-form bounds of eval_t10_start(V_x,V_y,B): 
0.05/0.13	-------------------------------------
0.05/0.13	* Chain [12] with precondition: [V_y>=V_x] 
0.05/0.13	    - Upper bound: 0 
0.05/0.13	    - Complexity: constant 
0.05/0.13	* Chain [11] with precondition: [V_x>=V_y+1] 
0.05/0.13	    - Upper bound: 2*V_x-2*V_y 
0.05/0.13	    - Complexity: n 
0.05/0.13	
0.05/0.13	### Maximum cost of eval_t10_start(V_x,V_y,B): nat(V_x-V_y)*2 
0.05/0.13	Asymptotic class: n 
0.05/0.13	* Total analysis performed in 61 ms.
0.05/0.13	
0.05/0.23	EOF