WORST_CASE(INF,?) ### Pre-processing the ITS problem ### Initial linear ITS problem Start location: __init 0: f269_0_createMetaList_Return -> f462_0_main_InvokeMethod : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=arg4P_1, [ arg1P_1<=arg1 && -1+arg1P_1<=arg2 && arg2P_1<=arg2 && arg1>0 && arg2>-1 && arg1P_1>0 && arg2P_1>-1 ], cost: 1 2: f462_0_main_InvokeMethod -> f479_0_countMetaList_NONNULL : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, [ x9_1>0 && x13_1>0 && arg1P_3<=arg2 && arg1>0 && arg2>-1 && arg1P_3>-1 ], cost: 1 1: f1_0_main_Load -> f462_0_main_InvokeMethod : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, [ arg1P_2<=arg1 && arg1>0 && arg1P_2>0 && arg2P_2>-1 ], cost: 1 3: f1_0_main_Load -> f703_0_createMetaList_GE : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, arg4'=arg4P_4, [ arg2>-1 && arg2P_4>-1 && arg1>0 && 0==arg1P_4 && 1==arg3P_4 ], cost: 1 7: f479_0_countMetaList_NONNULL -> f479_0_countMetaList_NONNULL : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, [ 2+arg1P_8<=arg1 && x31_1>0 && arg1>1 && arg1P_8>-1 ], cost: 1 8: f479_0_countMetaList_NONNULL -> f479_0_countMetaList_NONNULL : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, [ 2+arg1P_9<=arg1 && x35_1>0 && arg1>2 && arg1P_9>-1 ], cost: 1 9: f479_0_countMetaList_NONNULL -> f479_0_countMetaList_NONNULL : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, [ arg1P_10<=arg1 && x39_1>0 && arg1>2 && arg1P_10>0 ], cost: 1 4: f703_0_createMetaList_GE -> f922_0_createMetaList_LE : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=arg4P_5, [ arg3P_5>-1 && arg2>arg1 && arg3>0 && arg2==arg1P_5 && arg1==arg2P_5 && 1+arg3==arg4P_5 ], cost: 1 5: f922_0_createMetaList_LE -> f703_0_createMetaList_GE : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, [ 0==arg3 && 1+arg2==arg1P_6 && arg1==arg2P_6 && arg4==arg3P_6 ], cost: 1 6: f922_0_createMetaList_LE -> f922_0_createMetaList_LE : arg1'=arg1P_7, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, [ arg3>0 && arg1==arg1P_7 && arg2==arg2P_7 && -1+arg3==arg3P_7 && arg4==arg4P_7 ], cost: 1 10: __init -> f1_0_main_Load : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, [], cost: 1 Checking for constant complexity: The following rule is satisfiable with cost >= 1, yielding constant complexity: 10: __init -> f1_0_main_Load : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, [], cost: 1 Removed unreachable and leaf rules: Start location: __init 2: f462_0_main_InvokeMethod -> f479_0_countMetaList_NONNULL : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, [ x9_1>0 && x13_1>0 && arg1P_3<=arg2 && arg1>0 && arg2>-1 && arg1P_3>-1 ], cost: 1 1: f1_0_main_Load -> f462_0_main_InvokeMethod : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, [ arg1P_2<=arg1 && arg1>0 && arg1P_2>0 && arg2P_2>-1 ], cost: 1 3: f1_0_main_Load -> f703_0_createMetaList_GE : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, arg4'=arg4P_4, [ arg2>-1 && arg2P_4>-1 && arg1>0 && 0==arg1P_4 && 1==arg3P_4 ], cost: 1 7: f479_0_countMetaList_NONNULL -> f479_0_countMetaList_NONNULL : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, [ 2+arg1P_8<=arg1 && x31_1>0 && arg1>1 && arg1P_8>-1 ], cost: 1 8: f479_0_countMetaList_NONNULL -> f479_0_countMetaList_NONNULL : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, [ 2+arg1P_9<=arg1 && x35_1>0 && arg1>2 && arg1P_9>-1 ], cost: 1 9: f479_0_countMetaList_NONNULL -> f479_0_countMetaList_NONNULL : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, [ arg1P_10<=arg1 && x39_1>0 && arg1>2 && arg1P_10>0 ], cost: 1 4: f703_0_createMetaList_GE -> f922_0_createMetaList_LE : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=arg4P_5, [ arg3P_5>-1 && arg2>arg1 && arg3>0 && arg2==arg1P_5 && arg1==arg2P_5 && 1+arg3==arg4P_5 ], cost: 1 5: f922_0_createMetaList_LE -> f703_0_createMetaList_GE : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, [ 0==arg3 && 1+arg2==arg1P_6 && arg1==arg2P_6 && arg4==arg3P_6 ], cost: 1 6: f922_0_createMetaList_LE -> f922_0_createMetaList_LE : arg1'=arg1P_7, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, [ arg3>0 && arg1==arg1P_7 && arg2==arg2P_7 && -1+arg3==arg3P_7 && arg4==arg4P_7 ], cost: 1 10: __init -> f1_0_main_Load : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, [], cost: 1 Simplified all rules, resulting in: Start location: __init 2: f462_0_main_InvokeMethod -> f479_0_countMetaList_NONNULL : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, [ arg1P_3<=arg2 && arg1>0 && arg2>-1 && arg1P_3>-1 ], cost: 1 1: f1_0_main_Load -> f462_0_main_InvokeMethod : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, [ arg1P_2<=arg1 && arg1>0 && arg1P_2>0 && arg2P_2>-1 ], cost: 1 3: f1_0_main_Load -> f703_0_createMetaList_GE : arg1'=0, arg2'=arg2P_4, arg3'=1, arg4'=arg4P_4, [ arg2>-1 && arg2P_4>-1 && arg1>0 ], cost: 1 7: f479_0_countMetaList_NONNULL -> f479_0_countMetaList_NONNULL : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, [ 2+arg1P_8<=arg1 && arg1>1 && arg1P_8>-1 ], cost: 1 8: f479_0_countMetaList_NONNULL -> f479_0_countMetaList_NONNULL : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, [ 2+arg1P_9<=arg1 && arg1>2 && arg1P_9>-1 ], cost: 1 9: f479_0_countMetaList_NONNULL -> f479_0_countMetaList_NONNULL : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, [ arg1P_10<=arg1 && arg1>2 && arg1P_10>0 ], cost: 1 4: f703_0_createMetaList_GE -> f922_0_createMetaList_LE : arg1'=arg2, arg2'=arg1, arg3'=arg3P_5, arg4'=1+arg3, [ arg3P_5>-1 && arg2>arg1 && arg3>0 ], cost: 1 5: f922_0_createMetaList_LE -> f703_0_createMetaList_GE : arg1'=1+arg2, arg2'=arg1, arg3'=arg4, arg4'=arg4P_6, [ 0==arg3 ], cost: 1 6: f922_0_createMetaList_LE -> f922_0_createMetaList_LE : arg3'=-1+arg3, [ arg3>0 ], cost: 1 10: __init -> f1_0_main_Load : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, [], cost: 1 ### Simplification by acceleration and chaining ### Accelerating simple loops of location 3. Accelerating the following rules: 7: f479_0_countMetaList_NONNULL -> f479_0_countMetaList_NONNULL : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, [ 2+arg1P_8<=arg1 && arg1>1 && arg1P_8>-1 ], cost: 1 8: f479_0_countMetaList_NONNULL -> f479_0_countMetaList_NONNULL : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, [ 2+arg1P_9<=arg1 && arg1>2 && arg1P_9>-1 ], cost: 1 9: f479_0_countMetaList_NONNULL -> f479_0_countMetaList_NONNULL : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, [ arg1P_10<=arg1 && arg1>2 && arg1P_10>0 ], cost: 1 During metering: Instantiating temporary variables by {arg1P_8==-2+arg1} Accelerated rule 7 with metering function meter (where 2*meter==-1+arg1), yielding the new rule 11. During metering: Instantiating temporary variables by {arg1P_9==-2+arg1} Accelerated rule 8 with metering function meter_1 (where 2*meter_1==-2+arg1), yielding the new rule 12. Accelerated rule 9 with NONTERM (after strengthening guard), yielding the new rule 13. Nested simple loops 7 (outer loop) and 12 (inner loop) with metering function -arg1P_8, resulting in the new rules: 14. Removing the simple loops: 7 8. Accelerating simple loops of location 5. Accelerating the following rules: 6: f922_0_createMetaList_LE -> f922_0_createMetaList_LE : arg3'=-1+arg3, [ arg3>0 ], cost: 1 Accelerated rule 6 with metering function arg3, yielding the new rule 15. Removing the simple loops: 6. Accelerated all simple loops using metering functions (where possible): Start location: __init 2: f462_0_main_InvokeMethod -> f479_0_countMetaList_NONNULL : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, [ arg1P_3<=arg2 && arg1>0 && arg2>-1 && arg1P_3>-1 ], cost: 1 1: f1_0_main_Load -> f462_0_main_InvokeMethod : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, [ arg1P_2<=arg1 && arg1>0 && arg1P_2>0 && arg2P_2>-1 ], cost: 1 3: f1_0_main_Load -> f703_0_createMetaList_GE : arg1'=0, arg2'=arg2P_4, arg3'=1, arg4'=arg4P_4, [ arg2>-1 && arg2P_4>-1 && arg1>0 ], cost: 1 9: f479_0_countMetaList_NONNULL -> f479_0_countMetaList_NONNULL : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, [ arg1P_10<=arg1 && arg1>2 && arg1P_10>0 ], cost: 1 11: f479_0_countMetaList_NONNULL -> f479_0_countMetaList_NONNULL : arg1'=arg1-2*meter, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, [ arg1>1 && 2*meter==-1+arg1 && meter>=1 ], cost: meter 12: f479_0_countMetaList_NONNULL -> f479_0_countMetaList_NONNULL : arg1'=arg1-2*meter_1, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, [ arg1>2 && 2*meter_1==-2+arg1 && meter_1>=1 ], cost: meter_1 13: f479_0_countMetaList_NONNULL -> [7] : [ arg1P_10<=arg1 && arg1>2 && arg1P_10>2 ], cost: NONTERM 14: f479_0_countMetaList_NONNULL -> f479_0_countMetaList_NONNULL : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, [ arg1>2 && 2*meter_1==-2+arg1 && meter_1>=1 && 2+arg1P_8<=arg1-2*meter_1 && arg1P_8>-1 && -arg1P_8>=1 ], cost: -arg1P_8-arg1P_8*meter_1 4: f703_0_createMetaList_GE -> f922_0_createMetaList_LE : arg1'=arg2, arg2'=arg1, arg3'=arg3P_5, arg4'=1+arg3, [ arg3P_5>-1 && arg2>arg1 && arg3>0 ], cost: 1 5: f922_0_createMetaList_LE -> f703_0_createMetaList_GE : arg1'=1+arg2, arg2'=arg1, arg3'=arg4, arg4'=arg4P_6, [ 0==arg3 ], cost: 1 15: f922_0_createMetaList_LE -> f922_0_createMetaList_LE : arg3'=0, [ arg3>0 ], cost: arg3 10: __init -> f1_0_main_Load : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, [], cost: 1 Chained accelerated rules (with incoming rules): Start location: __init 2: f462_0_main_InvokeMethod -> f479_0_countMetaList_NONNULL : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, [ arg1P_3<=arg2 && arg1>0 && arg2>-1 && arg1P_3>-1 ], cost: 1 16: f462_0_main_InvokeMethod -> f479_0_countMetaList_NONNULL : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, [ arg1>0 && arg1P_10>0 && arg1P_10<=arg2 && 3<=arg2 ], cost: 2 17: f462_0_main_InvokeMethod -> f479_0_countMetaList_NONNULL : arg1'=1, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, [ 1+2*meter<=arg2 && arg1>0 && arg2>-1 && 1+2*meter>1 && meter>=1 ], cost: 1+meter 18: f462_0_main_InvokeMethod -> f479_0_countMetaList_NONNULL : arg1'=2, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, [ 2+2*meter_1<=arg2 && arg1>0 && arg2>-1 && 2+2*meter_1>2 && meter_1>=1 ], cost: 1+meter_1 19: f462_0_main_InvokeMethod -> [7] : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, [ arg1P_3<=arg2 && arg1>0 && arg2>-1 && arg1P_3>2 ], cost: NONTERM 1: f1_0_main_Load -> f462_0_main_InvokeMethod : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, [ arg1P_2<=arg1 && arg1>0 && arg1P_2>0 && arg2P_2>-1 ], cost: 1 3: f1_0_main_Load -> f703_0_createMetaList_GE : arg1'=0, arg2'=arg2P_4, arg3'=1, arg4'=arg4P_4, [ arg2>-1 && arg2P_4>-1 && arg1>0 ], cost: 1 4: f703_0_createMetaList_GE -> f922_0_createMetaList_LE : arg1'=arg2, arg2'=arg1, arg3'=arg3P_5, arg4'=1+arg3, [ arg3P_5>-1 && arg2>arg1 && arg3>0 ], cost: 1 20: f703_0_createMetaList_GE -> f922_0_createMetaList_LE : arg1'=arg2, arg2'=arg1, arg3'=0, arg4'=1+arg3, [ arg2>arg1 && arg3>0 && arg3P_5>0 ], cost: 1+arg3P_5 5: f922_0_createMetaList_LE -> f703_0_createMetaList_GE : arg1'=1+arg2, arg2'=arg1, arg3'=arg4, arg4'=arg4P_6, [ 0==arg3 ], cost: 1 10: __init -> f1_0_main_Load : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, [], cost: 1 Removed unreachable locations (and leaf rules with constant cost): Start location: __init 17: f462_0_main_InvokeMethod -> f479_0_countMetaList_NONNULL : arg1'=1, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, [ 1+2*meter<=arg2 && arg1>0 && arg2>-1 && 1+2*meter>1 && meter>=1 ], cost: 1+meter 18: f462_0_main_InvokeMethod -> f479_0_countMetaList_NONNULL : arg1'=2, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, [ 2+2*meter_1<=arg2 && arg1>0 && arg2>-1 && 2+2*meter_1>2 && meter_1>=1 ], cost: 1+meter_1 19: f462_0_main_InvokeMethod -> [7] : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, [ arg1P_3<=arg2 && arg1>0 && arg2>-1 && arg1P_3>2 ], cost: NONTERM 1: f1_0_main_Load -> f462_0_main_InvokeMethod : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, [ arg1P_2<=arg1 && arg1>0 && arg1P_2>0 && arg2P_2>-1 ], cost: 1 3: f1_0_main_Load -> f703_0_createMetaList_GE : arg1'=0, arg2'=arg2P_4, arg3'=1, arg4'=arg4P_4, [ arg2>-1 && arg2P_4>-1 && arg1>0 ], cost: 1 4: f703_0_createMetaList_GE -> f922_0_createMetaList_LE : arg1'=arg2, arg2'=arg1, arg3'=arg3P_5, arg4'=1+arg3, [ arg3P_5>-1 && arg2>arg1 && arg3>0 ], cost: 1 20: f703_0_createMetaList_GE -> f922_0_createMetaList_LE : arg1'=arg2, arg2'=arg1, arg3'=0, arg4'=1+arg3, [ arg2>arg1 && arg3>0 && arg3P_5>0 ], cost: 1+arg3P_5 5: f922_0_createMetaList_LE -> f703_0_createMetaList_GE : arg1'=1+arg2, arg2'=arg1, arg3'=arg4, arg4'=arg4P_6, [ 0==arg3 ], cost: 1 10: __init -> f1_0_main_Load : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, [], cost: 1 Eliminated locations (on tree-shaped paths): Start location: __init 17: f462_0_main_InvokeMethod -> f479_0_countMetaList_NONNULL : arg1'=1, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, [ 1+2*meter<=arg2 && arg1>0 && arg2>-1 && 1+2*meter>1 && meter>=1 ], cost: 1+meter 18: f462_0_main_InvokeMethod -> f479_0_countMetaList_NONNULL : arg1'=2, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, [ 2+2*meter_1<=arg2 && arg1>0 && arg2>-1 && 2+2*meter_1>2 && meter_1>=1 ], cost: 1+meter_1 19: f462_0_main_InvokeMethod -> [7] : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, [ arg1P_3<=arg2 && arg1>0 && arg2>-1 && arg1P_3>2 ], cost: NONTERM 23: f703_0_createMetaList_GE -> f703_0_createMetaList_GE : arg1'=1+arg1, arg2'=arg2, arg3'=1+arg3, arg4'=arg4P_6, [ arg2>arg1 && arg3>0 && 0==arg3P_5 ], cost: 2 24: f703_0_createMetaList_GE -> f703_0_createMetaList_GE : arg1'=1+arg1, arg2'=arg2, arg3'=1+arg3, arg4'=arg4P_6, [ arg2>arg1 && arg3>0 && arg3P_5>0 ], cost: 2+arg3P_5 21: __init -> f462_0_main_InvokeMethod : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, [ arg1P_2<=arg1P_11 && arg1P_11>0 && arg1P_2>0 && arg2P_2>-1 ], cost: 2 22: __init -> f703_0_createMetaList_GE : arg1'=0, arg2'=arg2P_4, arg3'=1, arg4'=arg4P_4, [ arg2P_11>-1 && arg2P_4>-1 && arg1P_11>0 ], cost: 2 Accelerating simple loops of location 4. Simplified some of the simple loops (and removed duplicate rules). Accelerating the following rules: 23: f703_0_createMetaList_GE -> f703_0_createMetaList_GE : arg1'=1+arg1, arg3'=1+arg3, arg4'=arg4P_6, [ arg2>arg1 && arg3>0 ], cost: 2 24: f703_0_createMetaList_GE -> f703_0_createMetaList_GE : arg1'=1+arg1, arg3'=1+arg3, arg4'=arg4P_6, [ arg2>arg1 && arg3>0 && arg3P_5>0 ], cost: 2+arg3P_5 Accelerated rule 23 with metering function -arg1+arg2, yielding the new rule 25. Accelerated rule 24 with metering function -arg1+arg2, yielding the new rule 26. Removing the simple loops: 23 24. Accelerated all simple loops using metering functions (where possible): Start location: __init 17: f462_0_main_InvokeMethod -> f479_0_countMetaList_NONNULL : arg1'=1, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, [ 1+2*meter<=arg2 && arg1>0 && arg2>-1 && 1+2*meter>1 && meter>=1 ], cost: 1+meter 18: f462_0_main_InvokeMethod -> f479_0_countMetaList_NONNULL : arg1'=2, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, [ 2+2*meter_1<=arg2 && arg1>0 && arg2>-1 && 2+2*meter_1>2 && meter_1>=1 ], cost: 1+meter_1 19: f462_0_main_InvokeMethod -> [7] : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, [ arg1P_3<=arg2 && arg1>0 && arg2>-1 && arg1P_3>2 ], cost: NONTERM 25: f703_0_createMetaList_GE -> f703_0_createMetaList_GE : arg1'=arg2, arg3'=arg3-arg1+arg2, arg4'=arg4P_6, [ arg2>arg1 && arg3>0 ], cost: -2*arg1+2*arg2 26: f703_0_createMetaList_GE -> f703_0_createMetaList_GE : arg1'=arg2, arg3'=arg3-arg1+arg2, arg4'=arg4P_6, [ arg2>arg1 && arg3>0 && arg3P_5>0 ], cost: -2*arg1-arg3P_5*(arg1-arg2)+2*arg2 21: __init -> f462_0_main_InvokeMethod : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, [ arg1P_2<=arg1P_11 && arg1P_11>0 && arg1P_2>0 && arg2P_2>-1 ], cost: 2 22: __init -> f703_0_createMetaList_GE : arg1'=0, arg2'=arg2P_4, arg3'=1, arg4'=arg4P_4, [ arg2P_11>-1 && arg2P_4>-1 && arg1P_11>0 ], cost: 2 Chained accelerated rules (with incoming rules): Start location: __init 17: f462_0_main_InvokeMethod -> f479_0_countMetaList_NONNULL : arg1'=1, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, [ 1+2*meter<=arg2 && arg1>0 && arg2>-1 && 1+2*meter>1 && meter>=1 ], cost: 1+meter 18: f462_0_main_InvokeMethod -> f479_0_countMetaList_NONNULL : arg1'=2, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, [ 2+2*meter_1<=arg2 && arg1>0 && arg2>-1 && 2+2*meter_1>2 && meter_1>=1 ], cost: 1+meter_1 19: f462_0_main_InvokeMethod -> [7] : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, [ arg1P_3<=arg2 && arg1>0 && arg2>-1 && arg1P_3>2 ], cost: NONTERM 21: __init -> f462_0_main_InvokeMethod : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, [ arg1P_2<=arg1P_11 && arg1P_11>0 && arg1P_2>0 && arg2P_2>-1 ], cost: 2 22: __init -> f703_0_createMetaList_GE : arg1'=0, arg2'=arg2P_4, arg3'=1, arg4'=arg4P_4, [ arg2P_11>-1 && arg2P_4>-1 && arg1P_11>0 ], cost: 2 27: __init -> f703_0_createMetaList_GE : arg1'=arg2P_4, arg2'=arg2P_4, arg3'=1+arg2P_4, arg4'=arg4P_6, [ arg2P_4>0 ], cost: 2+2*arg2P_4 28: __init -> f703_0_createMetaList_GE : arg1'=arg2P_4, arg2'=arg2P_4, arg3'=1+arg2P_4, arg4'=arg4P_6, [ arg2P_4>0 && arg3P_5>0 ], cost: 2+arg3P_5*arg2P_4+2*arg2P_4 Removed unreachable locations (and leaf rules with constant cost): Start location: __init 17: f462_0_main_InvokeMethod -> f479_0_countMetaList_NONNULL : arg1'=1, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, [ 1+2*meter<=arg2 && arg1>0 && arg2>-1 && 1+2*meter>1 && meter>=1 ], cost: 1+meter 18: f462_0_main_InvokeMethod -> f479_0_countMetaList_NONNULL : arg1'=2, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, [ 2+2*meter_1<=arg2 && arg1>0 && arg2>-1 && 2+2*meter_1>2 && meter_1>=1 ], cost: 1+meter_1 19: f462_0_main_InvokeMethod -> [7] : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, [ arg1P_3<=arg2 && arg1>0 && arg2>-1 && arg1P_3>2 ], cost: NONTERM 21: __init -> f462_0_main_InvokeMethod : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, [ arg1P_2<=arg1P_11 && arg1P_11>0 && arg1P_2>0 && arg2P_2>-1 ], cost: 2 27: __init -> f703_0_createMetaList_GE : arg1'=arg2P_4, arg2'=arg2P_4, arg3'=1+arg2P_4, arg4'=arg4P_6, [ arg2P_4>0 ], cost: 2+2*arg2P_4 28: __init -> f703_0_createMetaList_GE : arg1'=arg2P_4, arg2'=arg2P_4, arg3'=1+arg2P_4, arg4'=arg4P_6, [ arg2P_4>0 && arg3P_5>0 ], cost: 2+arg3P_5*arg2P_4+2*arg2P_4 Eliminated locations (on tree-shaped paths): Start location: __init 27: __init -> f703_0_createMetaList_GE : arg1'=arg2P_4, arg2'=arg2P_4, arg3'=1+arg2P_4, arg4'=arg4P_6, [ arg2P_4>0 ], cost: 2+2*arg2P_4 28: __init -> f703_0_createMetaList_GE : arg1'=arg2P_4, arg2'=arg2P_4, arg3'=1+arg2P_4, arg4'=arg4P_6, [ arg2P_4>0 && arg3P_5>0 ], cost: 2+arg3P_5*arg2P_4+2*arg2P_4 29: __init -> f479_0_countMetaList_NONNULL : arg1'=1, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, [ arg1P_2<=arg1P_11 && arg1P_11>0 && arg1P_2>0 && arg2P_2>-1 && 1+2*meter<=arg2P_2 && 1+2*meter>1 && meter>=1 ], cost: 3+meter 30: __init -> f479_0_countMetaList_NONNULL : arg1'=2, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, [ arg1P_2<=arg1P_11 && arg1P_11>0 && arg1P_2>0 && arg2P_2>-1 && 2+2*meter_1<=arg2P_2 && 2+2*meter_1>2 && meter_1>=1 ], cost: 3+meter_1 31: __init -> [7] : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, [ arg1P_2<=arg1P_11 && arg1P_11>0 && arg1P_2>0 && arg2P_2>-1 && arg1P_3<=arg2P_2 && arg1P_3>2 ], cost: NONTERM ### Computing asymptotic complexity ### Fully simplified ITS problem Start location: __init 27: __init -> f703_0_createMetaList_GE : arg1'=arg2P_4, arg2'=arg2P_4, arg3'=1+arg2P_4, arg4'=arg4P_6, [ arg2P_4>0 ], cost: 2+2*arg2P_4 28: __init -> f703_0_createMetaList_GE : arg1'=arg2P_4, arg2'=arg2P_4, arg3'=1+arg2P_4, arg4'=arg4P_6, [ arg2P_4>0 && arg3P_5>0 ], cost: 2+arg3P_5*arg2P_4+2*arg2P_4 29: __init -> f479_0_countMetaList_NONNULL : arg1'=1, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, [ arg1P_2<=arg1P_11 && arg1P_11>0 && arg1P_2>0 && arg2P_2>-1 && 1+2*meter<=arg2P_2 && 1+2*meter>1 && meter>=1 ], cost: 3+meter 30: __init -> f479_0_countMetaList_NONNULL : arg1'=2, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, [ arg1P_2<=arg1P_11 && arg1P_11>0 && arg1P_2>0 && arg2P_2>-1 && 2+2*meter_1<=arg2P_2 && 2+2*meter_1>2 && meter_1>=1 ], cost: 3+meter_1 31: __init -> [7] : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, [ arg1P_2<=arg1P_11 && arg1P_11>0 && arg1P_2>0 && arg2P_2>-1 && arg1P_3<=arg2P_2 && arg1P_3>2 ], cost: NONTERM Computing asymptotic complexity for rule 27 Solved the limit problem by the following transformations: Created initial limit problem: 2+2*arg2P_4 (+), arg2P_4 (+/+!) [not solved] removing all constraints (solved by SMT) resulting limit problem: [solved] applying transformation rule (C) using substitution {arg2P_4==n} resulting limit problem: [solved] Solution: arg2P_4 / n Resulting cost 2+2*n has complexity: Unbounded Found new complexity Unbounded. Obtained the following overall complexity (w.r.t. the length of the input n): Complexity: Unbounded Cpx degree: Unbounded Solved cost: 2+2*n Rule cost: 2+2*arg2P_4 Rule guard: [ arg2P_4>0 ] WORST_CASE(INF,?)