0.07/0.19	WORST_CASE(?,O(n^1))  
0.07/0.19	
0.07/0.19	Preprocessing Cost Relations
0.07/0.19	=====================================
0.07/0.19	
0.07/0.19	#### Computed strongly connected components 
0.07/0.19	0. recursive  : [eval_random2d_1/4,eval_random2d_2/5,eval_random2d_LeafBlock1_in/5,eval_random2d_LeafBlock3_in/5,eval_random2d_LeafBlock5_in/5,eval_random2d_LeafBlock_in/5,eval_random2d_NewDefault_in/5,eval_random2d_NodeBlock7_in/5,eval_random2d_NodeBlock9_in/5,eval_random2d_NodeBlock_in/5,eval_random2d_bb1_in/3,eval_random2d_bb2_in/3,eval_random2d_bb3_in/5,eval_random2d_bb4_in/5,eval_random2d_bb5_in/5,eval_random2d_bb6_in/5,eval_random2d_bb7_in/5]
0.07/0.19	1. non_recursive  : [eval_random2d_stop/1]
0.07/0.19	2. non_recursive  : [eval_random2d_bb8_in/1]
0.07/0.19	3. non_recursive  : [eval_random2d_bb1_in_loop_cont/2]
0.07/0.19	4. non_recursive  : [eval_random2d_bb0_in/2]
0.07/0.19	5. non_recursive  : [eval_random2d_start/2]
0.07/0.19	
0.07/0.19	#### Obtained direct recursion through partial evaluation 
0.07/0.19	0. SCC is partially evaluated into eval_random2d_bb1_in/3
0.07/0.19	1. SCC is completely evaluated into other SCCs
0.07/0.19	2. SCC is completely evaluated into other SCCs
0.07/0.19	3. SCC is completely evaluated into other SCCs
0.07/0.19	4. SCC is partially evaluated into eval_random2d_bb0_in/2
0.07/0.19	5. SCC is partially evaluated into eval_random2d_start/2
0.07/0.19	
0.07/0.19	Control-Flow Refinement of Cost Relations
0.07/0.19	=====================================
0.07/0.19	
0.07/0.19	### Specialization of cost equations eval_random2d_bb1_in/3 
0.07/0.19	* CE 4 is refined into CE [5] 
0.07/0.19	* CE 3 is refined into CE [6] 
0.07/0.19	
0.07/0.19	
0.07/0.19	### Cost equations --> "Loop" of eval_random2d_bb1_in/3 
0.07/0.19	* CEs [6] --> Loop 5 
0.07/0.19	* CEs [5] --> Loop 6 
0.07/0.19	
0.07/0.19	### Ranking functions of CR eval_random2d_bb1_in(V_N,V_i_0,B) 
0.07/0.19	* RF of phase [5]: [V_N-V_i_0]
0.07/0.19	
0.07/0.19	#### Partial ranking functions of CR eval_random2d_bb1_in(V_N,V_i_0,B) 
0.07/0.19	* Partial RF of phase [5]:
0.07/0.19	  - RF of loop [5:1]:
0.07/0.19	    V_N-V_i_0
0.07/0.19	
0.07/0.19	
0.07/0.19	### Specialization of cost equations eval_random2d_bb0_in/2 
0.07/0.19	* CE 2 is refined into CE [7,8] 
0.07/0.19	
0.07/0.19	
0.07/0.19	### Cost equations --> "Loop" of eval_random2d_bb0_in/2 
0.07/0.19	* CEs [8] --> Loop 7 
0.07/0.19	* CEs [7] --> Loop 8 
0.07/0.19	
0.07/0.19	### Ranking functions of CR eval_random2d_bb0_in(V_N,B) 
0.07/0.19	
0.07/0.19	#### Partial ranking functions of CR eval_random2d_bb0_in(V_N,B) 
0.07/0.19	
0.07/0.19	
0.07/0.19	### Specialization of cost equations eval_random2d_start/2 
0.07/0.19	* CE 1 is refined into CE [9,10] 
0.07/0.19	
0.07/0.19	
0.07/0.19	### Cost equations --> "Loop" of eval_random2d_start/2 
0.07/0.19	* CEs [10] --> Loop 9 
0.07/0.19	* CEs [9] --> Loop 10 
0.07/0.19	
0.07/0.19	### Ranking functions of CR eval_random2d_start(V_N,B) 
0.07/0.19	
0.07/0.19	#### Partial ranking functions of CR eval_random2d_start(V_N,B) 
0.07/0.19	
0.07/0.19	
0.07/0.19	Computing Bounds
0.07/0.19	=====================================
0.07/0.19	
0.07/0.19	#### Cost of chains of eval_random2d_bb1_in(V_N,V_i_0,B):
0.07/0.19	* Chain [[5],6]: 1*it(5)+0
0.07/0.19	  Such that:it(5) =< V_N-V_i_0
0.07/0.19	
0.07/0.19	  with precondition: [B=2,V_i_0>=0,V_N>=V_i_0+1] 
0.07/0.19	
0.07/0.19	* Chain [6]: 0
0.07/0.19	  with precondition: [B=2,V_i_0>=0,V_i_0>=V_N] 
0.07/0.19	
0.07/0.19	
0.07/0.19	#### Cost of chains of eval_random2d_bb0_in(V_N,B):
0.07/0.19	* Chain [8]: 0
0.07/0.19	  with precondition: [0>=V_N] 
0.07/0.19	
0.07/0.19	* Chain [7]: 1*s(1)+0
0.07/0.19	  Such that:s(1) =< V_N
0.07/0.19	
0.07/0.19	  with precondition: [V_N>=1] 
0.07/0.19	
0.07/0.19	
0.07/0.19	#### Cost of chains of eval_random2d_start(V_N,B):
0.07/0.19	* Chain [10]: 0
0.07/0.19	  with precondition: [0>=V_N] 
0.07/0.19	
0.07/0.19	* Chain [9]: 1*s(2)+0
0.07/0.19	  Such that:s(2) =< V_N
0.07/0.19	
0.07/0.19	  with precondition: [V_N>=1] 
0.07/0.19	
0.07/0.19	
0.07/0.19	Closed-form bounds of eval_random2d_start(V_N,B): 
0.07/0.19	-------------------------------------
0.07/0.19	* Chain [10] with precondition: [0>=V_N] 
0.07/0.19	    - Upper bound: 0 
0.07/0.19	    - Complexity: constant 
0.07/0.19	* Chain [9] with precondition: [V_N>=1] 
0.07/0.19	    - Upper bound: V_N 
0.07/0.19	    - Complexity: n 
0.07/0.19	
0.07/0.19	### Maximum cost of eval_random2d_start(V_N,B): nat(V_N) 
0.07/0.19	Asymptotic class: n 
0.07/0.19	* Total analysis performed in 98 ms.
0.07/0.19	
0.07/0.29	EOF