0.05/0.16	WORST_CASE(?,O(n^1))  
0.05/0.16	
0.05/0.16	Preprocessing Cost Relations
0.05/0.16	=====================================
0.05/0.16	
0.05/0.16	#### Computed strongly connected components 
0.05/0.16	0. recursive  : [eval_t20_bb1_in/4,eval_t20_bb2_in/4]
0.05/0.16	1. recursive  : [eval_t20_bb3_in/3,eval_t20_bb4_in/3]
0.05/0.16	2. non_recursive  : [eval_t20_stop/1]
0.05/0.16	3. non_recursive  : [eval_t20_bb5_in/1]
0.05/0.16	4. non_recursive  : [eval_t20_bb3_in_loop_cont/2]
0.05/0.16	5. non_recursive  : [eval_t20_bb1_in_loop_cont/4]
0.05/0.16	6. non_recursive  : [eval_t20_bb0_in/3]
0.05/0.16	7. non_recursive  : [eval_t20_start/3]
0.05/0.16	
0.05/0.16	#### Obtained direct recursion through partial evaluation 
0.05/0.16	0. SCC is partially evaluated into eval_t20_bb1_in/4
0.05/0.16	1. SCC is partially evaluated into eval_t20_bb3_in/3
0.05/0.16	2. SCC is completely evaluated into other SCCs
0.05/0.16	3. SCC is completely evaluated into other SCCs
0.05/0.16	4. SCC is completely evaluated into other SCCs
0.05/0.16	5. SCC is partially evaluated into eval_t20_bb1_in_loop_cont/4
0.05/0.16	6. SCC is partially evaluated into eval_t20_bb0_in/3
0.05/0.16	7. SCC is partially evaluated into eval_t20_start/3
0.05/0.16	
0.05/0.16	Control-Flow Refinement of Cost Relations
0.05/0.16	=====================================
0.05/0.16	
0.05/0.16	### Specialization of cost equations eval_t20_bb1_in/4 
0.05/0.16	* CE 4 is refined into CE [8] 
0.05/0.16	* CE 3 is refined into CE [9] 
0.05/0.16	
0.05/0.16	
0.05/0.16	### Cost equations --> "Loop" of eval_t20_bb1_in/4 
0.05/0.16	* CEs [9] --> Loop 8 
0.05/0.16	* CEs [8] --> Loop 9 
0.05/0.16	
0.05/0.16	### Ranking functions of CR eval_t20_bb1_in(V_y,V__0,B,C) 
0.05/0.16	* RF of phase [8]: [V_y-V__0]
0.05/0.16	
0.05/0.16	#### Partial ranking functions of CR eval_t20_bb1_in(V_y,V__0,B,C) 
0.05/0.16	* Partial RF of phase [8]:
0.05/0.16	  - RF of loop [8:1]:
0.05/0.16	    V_y-V__0
0.05/0.16	
0.05/0.16	
0.05/0.16	### Specialization of cost equations eval_t20_bb3_in/3 
0.05/0.16	* CE 7 is refined into CE [10] 
0.05/0.16	* CE 6 is refined into CE [11] 
0.05/0.16	
0.05/0.16	
0.05/0.16	### Cost equations --> "Loop" of eval_t20_bb3_in/3 
0.05/0.16	* CEs [11] --> Loop 10 
0.05/0.16	* CEs [10] --> Loop 11 
0.05/0.16	
0.05/0.16	### Ranking functions of CR eval_t20_bb3_in(V__0,V__01,B) 
0.05/0.16	* RF of phase [10]: [V__0-V__01]
0.05/0.16	
0.05/0.16	#### Partial ranking functions of CR eval_t20_bb3_in(V__0,V__01,B) 
0.05/0.16	* Partial RF of phase [10]:
0.05/0.16	  - RF of loop [10:1]:
0.05/0.16	    V__0-V__01
0.05/0.16	
0.05/0.16	
0.05/0.16	### Specialization of cost equations eval_t20_bb1_in_loop_cont/4 
0.05/0.16	* CE 5 is refined into CE [12,13] 
0.05/0.16	
0.05/0.16	
0.05/0.16	### Cost equations --> "Loop" of eval_t20_bb1_in_loop_cont/4 
0.05/0.16	* CEs [13] --> Loop 12 
0.05/0.16	* CEs [12] --> Loop 13 
0.05/0.16	
0.05/0.16	### Ranking functions of CR eval_t20_bb1_in_loop_cont(A,B,C,D) 
0.05/0.16	
0.05/0.16	#### Partial ranking functions of CR eval_t20_bb1_in_loop_cont(A,B,C,D) 
0.05/0.16	
0.05/0.16	
0.05/0.16	### Specialization of cost equations eval_t20_bb0_in/3 
0.05/0.16	* CE 2 is refined into CE [14,15,16] 
0.05/0.16	
0.05/0.16	
0.05/0.16	### Cost equations --> "Loop" of eval_t20_bb0_in/3 
0.05/0.16	* CEs [16] --> Loop 14 
0.05/0.16	* CEs [14] --> Loop 15 
0.05/0.16	* CEs [15] --> Loop 16 
0.05/0.16	
0.05/0.16	### Ranking functions of CR eval_t20_bb0_in(V_x,V_y,B) 
0.05/0.16	
0.05/0.16	#### Partial ranking functions of CR eval_t20_bb0_in(V_x,V_y,B) 
0.05/0.16	
0.05/0.16	
0.05/0.16	### Specialization of cost equations eval_t20_start/3 
0.05/0.16	* CE 1 is refined into CE [17,18,19] 
0.05/0.16	
0.05/0.16	
0.05/0.16	### Cost equations --> "Loop" of eval_t20_start/3 
0.05/0.16	* CEs [19] --> Loop 17 
0.05/0.16	* CEs [18] --> Loop 18 
0.05/0.16	* CEs [17] --> Loop 19 
0.05/0.16	
0.05/0.16	### Ranking functions of CR eval_t20_start(V_x,V_y,B) 
0.05/0.16	
0.05/0.16	#### Partial ranking functions of CR eval_t20_start(V_x,V_y,B) 
0.05/0.16	
0.05/0.16	
0.05/0.16	Computing Bounds
0.05/0.16	=====================================
0.05/0.16	
0.05/0.16	#### Cost of chains of eval_t20_bb1_in(V_y,V__0,B,C):
0.05/0.16	* Chain [[8],9]: 1*it(8)+0
0.05/0.16	  Such that:it(8) =< V_y-V__0
0.05/0.16	
0.05/0.16	  with precondition: [B=3,V_y=C,V_y>=V__0+1] 
0.05/0.16	
0.05/0.16	* Chain [9]: 0
0.05/0.16	  with precondition: [B=3,V__0=C,V__0>=V_y] 
0.05/0.16	
0.05/0.16	
0.05/0.16	#### Cost of chains of eval_t20_bb3_in(V__0,V__01,B):
0.05/0.16	* Chain [[10],11]: 1*it(10)+0
0.05/0.16	  Such that:it(10) =< V__0-V__01
0.05/0.16	
0.05/0.16	  with precondition: [B=2,V__0>=V__01+1] 
0.05/0.16	
0.05/0.16	* Chain [11]: 0
0.05/0.16	  with precondition: [B=2,V__01>=V__0] 
0.05/0.16	
0.05/0.16	
0.05/0.16	#### Cost of chains of eval_t20_bb1_in_loop_cont(A,B,C,D):
0.05/0.16	* Chain [13]: 0
0.05/0.16	  with precondition: [A=3,C>=B] 
0.05/0.16	
0.05/0.16	* Chain [12]: 1*s(1)+0
0.05/0.16	  Such that:s(1) =< B-C
0.05/0.16	
0.05/0.16	  with precondition: [A=3,B>=C+1] 
0.05/0.16	
0.05/0.16	
0.05/0.16	#### Cost of chains of eval_t20_bb0_in(V_x,V_y,B):
0.05/0.16	* Chain [16]: 0
0.05/0.16	  with precondition: [V_y=V_x] 
0.05/0.16	
0.05/0.16	* Chain [15]: 1*s(2)+0
0.05/0.16	  Such that:s(2) =< -V_x+V_y
0.05/0.16	
0.05/0.16	  with precondition: [V_y>=V_x+1] 
0.05/0.16	
0.05/0.16	* Chain [14]: 1*s(3)+0
0.05/0.16	  Such that:s(3) =< V_x-V_y
0.05/0.16	
0.05/0.16	  with precondition: [V_x>=V_y+1] 
0.05/0.16	
0.05/0.16	
0.05/0.16	#### Cost of chains of eval_t20_start(V_x,V_y,B):
0.05/0.16	* Chain [19]: 0
0.05/0.16	  with precondition: [V_y=V_x] 
0.05/0.16	
0.05/0.16	* Chain [18]: 1*s(4)+0
0.05/0.16	  Such that:s(4) =< -V_x+V_y
0.05/0.16	
0.05/0.16	  with precondition: [V_y>=V_x+1] 
0.05/0.16	
0.05/0.16	* Chain [17]: 1*s(5)+0
0.05/0.16	  Such that:s(5) =< V_x-V_y
0.05/0.16	
0.05/0.16	  with precondition: [V_x>=V_y+1] 
0.05/0.16	
0.05/0.16	
0.05/0.16	Closed-form bounds of eval_t20_start(V_x,V_y,B): 
0.05/0.16	-------------------------------------
0.05/0.16	* Chain [19] with precondition: [V_y=V_x] 
0.05/0.16	    - Upper bound: 0 
0.05/0.16	    - Complexity: constant 
0.05/0.16	* Chain [18] with precondition: [V_y>=V_x+1] 
0.05/0.16	    - Upper bound: -V_x+V_y 
0.05/0.16	    - Complexity: n 
0.05/0.16	* Chain [17] with precondition: [V_x>=V_y+1] 
0.05/0.16	    - Upper bound: V_x-V_y 
0.05/0.16	    - Complexity: n 
0.05/0.16	
0.05/0.16	### Maximum cost of eval_t20_start(V_x,V_y,B): max([nat(-V_x+V_y),nat(V_x-V_y)]) 
0.05/0.16	Asymptotic class: n 
0.05/0.16	* Total analysis performed in 87 ms.
0.05/0.16	
0.05/0.26	EOF