WORST_CASE(INF,?) ### Pre-processing the ITS problem ### Initial linear ITS problem Start location: __init 0: f1_0_main_Load -> f499_0_createTree_GT : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg1P_1>-1 && arg2>0 && arg1>0 && arg2==arg2P_1 && 1==arg3P_1 ], cost: 1 1: f1_0_main_Load -> f1061_0_main_InvokeMethod : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, [ x8_1>-1 && arg2>0 && arg1P_2<=arg1 && arg1>0 && arg1P_2>0 && arg2P_2>-1 ], cost: 1 4: f499_0_createTree_GT -> f1039_0_createTree_GE : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=arg4P_5, arg5'=arg5P_5, arg6'=arg6P_5, [ arg2>-1 && arg1>0 && arg3>0 && arg3-1 && arg1==arg1P_5 && -1+arg1==arg2P_5 && 0==arg3P_5 && arg2==arg5P_5 && 1+arg3==arg6P_5 ], cost: 1 3: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, arg4'=arg4P_4, arg5'=arg5P_4, arg6'=arg6P_4, [ x14_1>0 && arg3>1 && arg1P_4<=arg2 && arg1>0 && arg2>-1 && arg1P_4>-1 && arg3==arg2P_4 ], cost: 1 2: f350_0_createTree_Return -> f1061_0_main_InvokeMethod : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, arg5'=arg5P_3, arg6'=arg6P_3, [ arg1P_3<=arg1 && 1+arg2P_3<=arg1 && arg1>0 && arg1P_3>0 && arg2P_3>-1 && arg2==arg3P_3 ], cost: 1 8: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ 2+arg1P_9<=arg1 && arg2>1 && arg1>2 && arg1P_9>0 && arg2==arg2P_9 ], cost: 1 9: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ 4+arg1P_10<=arg1 && arg2>1 && arg1>3 && arg1P_10>-1 && arg2==arg2P_10 ], cost: 1 10: f1079_0_mirror_NULL -> f1400_0_mirror_FieldAccess : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg5P_11, arg6'=arg6P_11, [ arg1P_11<=arg1 && arg2>1 && 2+arg3P_11<=arg1 && arg1>2 && arg1P_11>1 && arg2P_11>2 && arg3P_11>-1 && arg2==arg5P_11 ], cost: 1 11: f1079_0_mirror_NULL -> f1400_0_mirror_FieldAccess : arg1'=arg1P_12, arg2'=arg2P_12, arg3'=arg3P_12, arg4'=arg4P_12, arg5'=arg5P_12, arg6'=arg6P_12, [ arg1P_12<=arg1 && arg2>1 && 2+arg3P_12<=arg1 && arg1>2 && arg1P_12>1 && arg2P_12>5 && arg3P_12>-1 && arg2==arg5P_12 ], cost: 1 5: f1039_0_createTree_GE -> f499_0_createTree_GT : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg4>0 && arg4>arg3 && arg1>0 && arg6>1 && arg2-1 && -1+arg2 f1039_0_createTree_GE : arg1'=arg1P_7, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ arg4>0 && arg4>arg3 && arg1>0 && arg6>1 && arg2-1 && -1+arg2 f1039_0_createTree_GE : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, [ arg4>0 && arg4>arg3 && arg1>0 && arg6>1 && arg2-1 && -1+arg2 f1079_0_mirror_NULL : arg1'=arg1P_13, arg2'=arg2P_13, arg3'=arg3P_13, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, [ 3+arg1P_13<=arg1 && arg5>1 && 1+arg1P_13<=arg3 && arg1>2 && arg2>0 && arg3>0 && arg1P_13>-1 && arg5==arg2P_13 ], cost: 1 13: f1400_0_mirror_FieldAccess -> f1463_0_mirror_FieldAccess : arg1'=arg1P_14, arg2'=arg2P_14, arg3'=arg3P_14, arg4'=arg4P_14, arg5'=arg5P_14, arg6'=arg6P_14, [ arg1P_14<=arg2 && arg5>1 && arg2P_14<=arg1 && -3+arg2P_14<=arg2 && -2+arg2P_14<=arg3 && arg1>3 && arg2>0 && arg3>1 && arg1P_14>0 && arg2P_14>3 ], cost: 1 14: f1400_0_mirror_FieldAccess -> f1463_0_mirror_FieldAccess : arg1'=arg1P_15, arg2'=arg2P_15, arg3'=arg3P_15, arg4'=arg4P_15, arg5'=arg5P_15, arg6'=arg6P_15, [ arg1P_15<=arg2 && arg5>1 && arg2P_15<=arg1 && -2+arg2P_15<=arg3 && arg1>5 && arg2>0 && arg3>3 && arg1P_15>0 && arg2P_15>5 ], cost: 1 15: f1400_0_mirror_FieldAccess -> f1463_0_mirror_FieldAccess : arg1'=arg1P_16, arg2'=arg2P_16, arg3'=arg3P_16, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, [ arg1P_16<=arg2 && arg5>1 && arg1>2 && arg2>0 && arg3>0 && arg1P_16>0 && arg2P_16>5 ], cost: 1 16: __init -> f1_0_main_Load : arg1'=arg1P_17, arg2'=arg2P_17, arg3'=arg3P_17, arg4'=arg4P_17, arg5'=arg5P_17, arg6'=arg6P_17, [], cost: 1 Checking for constant complexity: The following rule is satisfiable with cost >= 1, yielding constant complexity: 16: __init -> f1_0_main_Load : arg1'=arg1P_17, arg2'=arg2P_17, arg3'=arg3P_17, arg4'=arg4P_17, arg5'=arg5P_17, arg6'=arg6P_17, [], cost: 1 Removed unreachable and leaf rules: Start location: __init 0: f1_0_main_Load -> f499_0_createTree_GT : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg1P_1>-1 && arg2>0 && arg1>0 && arg2==arg2P_1 && 1==arg3P_1 ], cost: 1 1: f1_0_main_Load -> f1061_0_main_InvokeMethod : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, [ x8_1>-1 && arg2>0 && arg1P_2<=arg1 && arg1>0 && arg1P_2>0 && arg2P_2>-1 ], cost: 1 4: f499_0_createTree_GT -> f1039_0_createTree_GE : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=arg4P_5, arg5'=arg5P_5, arg6'=arg6P_5, [ arg2>-1 && arg1>0 && arg3>0 && arg3-1 && arg1==arg1P_5 && -1+arg1==arg2P_5 && 0==arg3P_5 && arg2==arg5P_5 && 1+arg3==arg6P_5 ], cost: 1 3: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, arg4'=arg4P_4, arg5'=arg5P_4, arg6'=arg6P_4, [ x14_1>0 && arg3>1 && arg1P_4<=arg2 && arg1>0 && arg2>-1 && arg1P_4>-1 && arg3==arg2P_4 ], cost: 1 8: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ 2+arg1P_9<=arg1 && arg2>1 && arg1>2 && arg1P_9>0 && arg2==arg2P_9 ], cost: 1 9: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ 4+arg1P_10<=arg1 && arg2>1 && arg1>3 && arg1P_10>-1 && arg2==arg2P_10 ], cost: 1 10: f1079_0_mirror_NULL -> f1400_0_mirror_FieldAccess : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg5P_11, arg6'=arg6P_11, [ arg1P_11<=arg1 && arg2>1 && 2+arg3P_11<=arg1 && arg1>2 && arg1P_11>1 && arg2P_11>2 && arg3P_11>-1 && arg2==arg5P_11 ], cost: 1 11: f1079_0_mirror_NULL -> f1400_0_mirror_FieldAccess : arg1'=arg1P_12, arg2'=arg2P_12, arg3'=arg3P_12, arg4'=arg4P_12, arg5'=arg5P_12, arg6'=arg6P_12, [ arg1P_12<=arg1 && arg2>1 && 2+arg3P_12<=arg1 && arg1>2 && arg1P_12>1 && arg2P_12>5 && arg3P_12>-1 && arg2==arg5P_12 ], cost: 1 5: f1039_0_createTree_GE -> f499_0_createTree_GT : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg4>0 && arg4>arg3 && arg1>0 && arg6>1 && arg2-1 && -1+arg2 f1039_0_createTree_GE : arg1'=arg1P_7, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ arg4>0 && arg4>arg3 && arg1>0 && arg6>1 && arg2-1 && -1+arg2 f1039_0_createTree_GE : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, [ arg4>0 && arg4>arg3 && arg1>0 && arg6>1 && arg2-1 && -1+arg2 f1079_0_mirror_NULL : arg1'=arg1P_13, arg2'=arg2P_13, arg3'=arg3P_13, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, [ 3+arg1P_13<=arg1 && arg5>1 && 1+arg1P_13<=arg3 && arg1>2 && arg2>0 && arg3>0 && arg1P_13>-1 && arg5==arg2P_13 ], cost: 1 16: __init -> f1_0_main_Load : arg1'=arg1P_17, arg2'=arg2P_17, arg3'=arg3P_17, arg4'=arg4P_17, arg5'=arg5P_17, arg6'=arg6P_17, [], cost: 1 Simplified all rules, resulting in: Start location: __init 0: f1_0_main_Load -> f499_0_createTree_GT : arg1'=arg1P_1, arg3'=1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg1P_1>-1 && arg2>0 && arg1>0 ], cost: 1 1: f1_0_main_Load -> f1061_0_main_InvokeMethod : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, [ arg2>0 && arg1P_2<=arg1 && arg1>0 && arg1P_2>0 && arg2P_2>-1 ], cost: 1 4: f499_0_createTree_GT -> f1039_0_createTree_GE : arg2'=-1+arg1, arg3'=0, arg4'=arg4P_5, arg5'=arg2, arg6'=1+arg3, [ arg1>0 && arg3>0 && arg3-1 ], cost: 1 3: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=arg1P_4, arg2'=arg3, arg3'=arg3P_4, arg4'=arg4P_4, arg5'=arg5P_4, arg6'=arg6P_4, [ arg3>1 && arg1P_4<=arg2 && arg1>0 && arg2>-1 && arg1P_4>-1 ], cost: 1 8: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=arg1P_9, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ 2+arg1P_9<=arg1 && arg2>1 && arg1>2 && arg1P_9>0 ], cost: 1 9: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=arg1P_10, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ 4+arg1P_10<=arg1 && arg2>1 && arg1>3 && arg1P_10>-1 ], cost: 1 10: f1079_0_mirror_NULL -> f1400_0_mirror_FieldAccess : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg2, arg6'=arg6P_11, [ arg1P_11<=arg1 && arg2>1 && 2+arg3P_11<=arg1 && arg1>2 && arg1P_11>1 && arg2P_11>2 && arg3P_11>-1 ], cost: 1 11: f1079_0_mirror_NULL -> f1400_0_mirror_FieldAccess : arg1'=arg1P_12, arg2'=arg2P_12, arg3'=arg3P_12, arg4'=arg4P_12, arg5'=arg2, arg6'=arg6P_12, [ arg1P_12<=arg1 && arg2>1 && 2+arg3P_12<=arg1 && arg1>2 && arg1P_12>1 && arg2P_12>5 && arg3P_12>-1 ], cost: 1 5: f1039_0_createTree_GE -> f499_0_createTree_GT : arg1'=-1+arg2, arg2'=arg5, arg3'=arg6, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg4>0 && arg4>arg3 && arg6>1 && arg2-1 ], cost: 1 6: f1039_0_createTree_GE -> f1039_0_createTree_GE : arg3'=1+arg3, [ arg4>0 && arg4>arg3 && arg6>1 && arg2-1 ], cost: 1 7: f1039_0_createTree_GE -> f1039_0_createTree_GE : arg3'=1+arg3, arg6'=arg6P_8, [ arg4>0 && arg4>arg3 && arg6>1 && arg2-1 ], cost: 1 12: f1400_0_mirror_FieldAccess -> f1079_0_mirror_NULL : arg1'=arg1P_13, arg2'=arg5, arg3'=arg3P_13, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, [ 3+arg1P_13<=arg1 && arg5>1 && 1+arg1P_13<=arg3 && arg1>2 && arg2>0 && arg3>0 && arg1P_13>-1 ], cost: 1 16: __init -> f1_0_main_Load : arg1'=arg1P_17, arg2'=arg2P_17, arg3'=arg3P_17, arg4'=arg4P_17, arg5'=arg5P_17, arg6'=arg6P_17, [], cost: 1 ### Simplification by acceleration and chaining ### Accelerating simple loops of location 4. Accelerating the following rules: 8: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=arg1P_9, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ 2+arg1P_9<=arg1 && arg2>1 && arg1>2 && arg1P_9>0 ], cost: 1 9: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=arg1P_10, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ 4+arg1P_10<=arg1 && arg2>1 && arg1>3 && arg1P_10>-1 ], cost: 1 During metering: Instantiating temporary variables by {arg1P_9==-2+arg1} Accelerated rule 8 with metering function meter (where 2*meter==-2+arg1), yielding the new rule 17. During metering: Instantiating temporary variables by {arg1P_10==-4+arg1} Accelerated rule 9 with metering function meter_1 (where 4*meter_1==-3+arg1), yielding the new rule 18. Nested simple loops 8 (outer loop) and 18 (inner loop) with metering function 1-arg1P_9, resulting in the new rules: 19. Removing the simple loops: 8 9. Accelerating simple loops of location 5. Accelerating the following rules: 6: f1039_0_createTree_GE -> f1039_0_createTree_GE : arg3'=1+arg3, [ arg4>0 && arg4>arg3 && arg6>1 && arg2-1 ], cost: 1 7: f1039_0_createTree_GE -> f1039_0_createTree_GE : arg3'=1+arg3, arg6'=arg6P_8, [ arg4>0 && arg4>arg3 && arg6>1 && arg2-1 ], cost: 1 Accelerated rule 6 with metering function -arg3+arg4, yielding the new rule 20. Accelerated rule 7 with metering function -arg3+arg4 (after strengthening guard), yielding the new rule 21. Removing the simple loops: 6. Accelerated all simple loops using metering functions (where possible): Start location: __init 0: f1_0_main_Load -> f499_0_createTree_GT : arg1'=arg1P_1, arg3'=1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg1P_1>-1 && arg2>0 && arg1>0 ], cost: 1 1: f1_0_main_Load -> f1061_0_main_InvokeMethod : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, [ arg2>0 && arg1P_2<=arg1 && arg1>0 && arg1P_2>0 && arg2P_2>-1 ], cost: 1 4: f499_0_createTree_GT -> f1039_0_createTree_GE : arg2'=-1+arg1, arg3'=0, arg4'=arg4P_5, arg5'=arg2, arg6'=1+arg3, [ arg1>0 && arg3>0 && arg3-1 ], cost: 1 3: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=arg1P_4, arg2'=arg3, arg3'=arg3P_4, arg4'=arg4P_4, arg5'=arg5P_4, arg6'=arg6P_4, [ arg3>1 && arg1P_4<=arg2 && arg1>0 && arg2>-1 && arg1P_4>-1 ], cost: 1 10: f1079_0_mirror_NULL -> f1400_0_mirror_FieldAccess : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg2, arg6'=arg6P_11, [ arg1P_11<=arg1 && arg2>1 && 2+arg3P_11<=arg1 && arg1>2 && arg1P_11>1 && arg2P_11>2 && arg3P_11>-1 ], cost: 1 11: f1079_0_mirror_NULL -> f1400_0_mirror_FieldAccess : arg1'=arg1P_12, arg2'=arg2P_12, arg3'=arg3P_12, arg4'=arg4P_12, arg5'=arg2, arg6'=arg6P_12, [ arg1P_12<=arg1 && arg2>1 && 2+arg3P_12<=arg1 && arg1>2 && arg1P_12>1 && arg2P_12>5 && arg3P_12>-1 ], cost: 1 17: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=-2*meter+arg1, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ arg2>1 && arg1>2 && 2*meter==-2+arg1 && meter>=1 ], cost: meter 18: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=-4*meter_1+arg1, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ arg2>1 && arg1>3 && 4*meter_1==-3+arg1 && meter_1>=1 ], cost: meter_1 19: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=arg1P_9, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ arg2>1 && arg1>3 && 4*meter_1==-3+arg1 && meter_1>=1 && 2+arg1P_9<=-4*meter_1+arg1 && arg1P_9>0 && 1-arg1P_9>=1 ], cost: 1-meter_1*(-1+arg1P_9)-arg1P_9 5: f1039_0_createTree_GE -> f499_0_createTree_GT : arg1'=-1+arg2, arg2'=arg5, arg3'=arg6, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg4>0 && arg4>arg3 && arg6>1 && arg2-1 ], cost: 1 7: f1039_0_createTree_GE -> f1039_0_createTree_GE : arg3'=1+arg3, arg6'=arg6P_8, [ arg4>0 && arg4>arg3 && arg6>1 && arg2-1 ], cost: 1 20: f1039_0_createTree_GE -> f1039_0_createTree_GE : arg3'=arg4, [ arg4>0 && arg4>arg3 && arg6>1 && arg2-1 ], cost: -arg3+arg4 21: f1039_0_createTree_GE -> f1039_0_createTree_GE : arg3'=arg4, arg6'=arg6P_8, [ arg4>0 && arg4>arg3 && arg6>1 && arg2-1 && arg6P_8>1 ], cost: -arg3+arg4 12: f1400_0_mirror_FieldAccess -> f1079_0_mirror_NULL : arg1'=arg1P_13, arg2'=arg5, arg3'=arg3P_13, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, [ 3+arg1P_13<=arg1 && arg5>1 && 1+arg1P_13<=arg3 && arg1>2 && arg2>0 && arg3>0 && arg1P_13>-1 ], cost: 1 16: __init -> f1_0_main_Load : arg1'=arg1P_17, arg2'=arg2P_17, arg3'=arg3P_17, arg4'=arg4P_17, arg5'=arg5P_17, arg6'=arg6P_17, [], cost: 1 Chained accelerated rules (with incoming rules): Start location: __init 0: f1_0_main_Load -> f499_0_createTree_GT : arg1'=arg1P_1, arg3'=1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg1P_1>-1 && arg2>0 && arg1>0 ], cost: 1 1: f1_0_main_Load -> f1061_0_main_InvokeMethod : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, [ arg2>0 && arg1P_2<=arg1 && arg1>0 && arg1P_2>0 && arg2P_2>-1 ], cost: 1 4: f499_0_createTree_GT -> f1039_0_createTree_GE : arg2'=-1+arg1, arg3'=0, arg4'=arg4P_5, arg5'=arg2, arg6'=1+arg3, [ arg1>0 && arg3>0 && arg3-1 ], cost: 1 26: f499_0_createTree_GT -> f1039_0_createTree_GE : arg2'=-1+arg1, arg3'=1, arg4'=arg4P_5, arg5'=arg2, arg6'=arg6P_8, [ arg1>0 && arg3>0 && arg30 ], cost: 2 27: f499_0_createTree_GT -> f1039_0_createTree_GE : arg2'=-1+arg1, arg3'=arg4P_5, arg4'=arg4P_5, arg5'=arg2, arg6'=1+arg3, [ arg1>0 && arg3>0 && arg30 ], cost: 1+arg4P_5 28: f499_0_createTree_GT -> f1039_0_createTree_GE : arg2'=-1+arg1, arg3'=arg4P_5, arg4'=arg4P_5, arg5'=arg2, arg6'=arg6P_8, [ arg1>0 && arg3>0 && arg30 && arg6P_8>1 ], cost: 1+arg4P_5 3: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=arg1P_4, arg2'=arg3, arg3'=arg3P_4, arg4'=arg4P_4, arg5'=arg5P_4, arg6'=arg6P_4, [ arg3>1 && arg1P_4<=arg2 && arg1>0 && arg2>-1 && arg1P_4>-1 ], cost: 1 22: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=2, arg2'=arg3, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ arg3>1 && 2+2*meter<=arg2 && arg1>0 && arg2>-1 && 2+2*meter>2 && meter>=1 ], cost: 1+meter 24: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=3, arg2'=arg3, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ arg3>1 && 3+4*meter_1<=arg2 && arg1>0 && arg2>-1 && 3+4*meter_1>3 && meter_1>=1 ], cost: 1+meter_1 10: f1079_0_mirror_NULL -> f1400_0_mirror_FieldAccess : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg2, arg6'=arg6P_11, [ arg1P_11<=arg1 && arg2>1 && 2+arg3P_11<=arg1 && arg1>2 && arg1P_11>1 && arg2P_11>2 && arg3P_11>-1 ], cost: 1 11: f1079_0_mirror_NULL -> f1400_0_mirror_FieldAccess : arg1'=arg1P_12, arg2'=arg2P_12, arg3'=arg3P_12, arg4'=arg4P_12, arg5'=arg2, arg6'=arg6P_12, [ arg1P_12<=arg1 && arg2>1 && 2+arg3P_12<=arg1 && arg1>2 && arg1P_12>1 && arg2P_12>5 && arg3P_12>-1 ], cost: 1 5: f1039_0_createTree_GE -> f499_0_createTree_GT : arg1'=-1+arg2, arg2'=arg5, arg3'=arg6, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg4>0 && arg4>arg3 && arg6>1 && arg2-1 ], cost: 1 12: f1400_0_mirror_FieldAccess -> f1079_0_mirror_NULL : arg1'=arg1P_13, arg2'=arg5, arg3'=arg3P_13, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, [ 3+arg1P_13<=arg1 && arg5>1 && 1+arg1P_13<=arg3 && arg1>2 && arg2>0 && arg3>0 && arg1P_13>-1 ], cost: 1 23: f1400_0_mirror_FieldAccess -> f1079_0_mirror_NULL : arg1'=2, arg2'=arg5, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ 5+2*meter<=arg1 && arg5>1 && 3+2*meter<=arg3 && arg1>2 && arg2>0 && arg3>0 && 2+2*meter>2 && meter>=1 ], cost: 1+meter 25: f1400_0_mirror_FieldAccess -> f1079_0_mirror_NULL : arg1'=3, arg2'=arg5, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ 6+4*meter_1<=arg1 && arg5>1 && 4+4*meter_1<=arg3 && arg1>2 && arg2>0 && arg3>0 && 3+4*meter_1>3 && meter_1>=1 ], cost: 1+meter_1 16: __init -> f1_0_main_Load : arg1'=arg1P_17, arg2'=arg2P_17, arg3'=arg3P_17, arg4'=arg4P_17, arg5'=arg5P_17, arg6'=arg6P_17, [], cost: 1 Eliminated locations (on tree-shaped paths): Start location: __init 31: f499_0_createTree_GT -> f499_0_createTree_GT : arg1'=-2+arg1, arg2'=arg2, arg3'=1+arg3, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg1>0 && arg3>0 && arg30 ], cost: 2 32: f499_0_createTree_GT -> f499_0_createTree_GT : arg1'=-2+arg1, arg2'=arg2, arg3'=arg6P_8, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg1>0 && arg3>0 && arg31 && arg6P_8>1 ], cost: 3 33: f499_0_createTree_GT -> [11] : [ arg1>0 && arg3>0 && arg30 ], cost: 1+arg4P_5 34: f499_0_createTree_GT -> [11] : [ arg1>0 && arg3>0 && arg30 && arg6P_8>1 ], cost: 1+arg4P_5 3: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=arg1P_4, arg2'=arg3, arg3'=arg3P_4, arg4'=arg4P_4, arg5'=arg5P_4, arg6'=arg6P_4, [ arg3>1 && arg1P_4<=arg2 && arg1>0 && arg2>-1 && arg1P_4>-1 ], cost: 1 22: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=2, arg2'=arg3, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ arg3>1 && 2+2*meter<=arg2 && arg1>0 && arg2>-1 && 2+2*meter>2 && meter>=1 ], cost: 1+meter 24: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=3, arg2'=arg3, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ arg3>1 && 3+4*meter_1<=arg2 && arg1>0 && arg2>-1 && 3+4*meter_1>3 && meter_1>=1 ], cost: 1+meter_1 35: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=arg1P_13, arg2'=arg2, arg3'=arg3P_13, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, [ arg1P_11<=arg1 && arg2>1 && 2+arg3P_11<=arg1 && arg1>2 && arg2P_11>2 && 3+arg1P_13<=arg1P_11 && 1+arg1P_13<=arg3P_11 && arg1P_11>2 && arg3P_11>0 && arg1P_13>-1 ], cost: 2 36: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=2, arg2'=arg2, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ arg1P_11<=arg1 && arg2>1 && 2+arg3P_11<=arg1 && arg1>2 && arg2P_11>2 && 5+2*meter<=arg1P_11 && 3+2*meter<=arg3P_11 && arg1P_11>2 && arg3P_11>0 && 2+2*meter>2 && meter>=1 ], cost: 2+meter 37: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=3, arg2'=arg2, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ arg1P_11<=arg1 && arg2>1 && 2+arg3P_11<=arg1 && arg1>2 && arg2P_11>2 && 6+4*meter_1<=arg1P_11 && 4+4*meter_1<=arg3P_11 && arg1P_11>2 && arg3P_11>0 && 3+4*meter_1>3 && meter_1>=1 ], cost: 2+meter_1 38: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=arg1P_13, arg2'=arg2, arg3'=arg3P_13, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, [ arg1P_12<=arg1 && arg2>1 && 2+arg3P_12<=arg1 && arg1>2 && arg2P_12>5 && 3+arg1P_13<=arg1P_12 && 1+arg1P_13<=arg3P_12 && arg1P_12>2 && arg3P_12>0 && arg1P_13>-1 ], cost: 2 39: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=2, arg2'=arg2, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ arg1P_12<=arg1 && arg2>1 && 2+arg3P_12<=arg1 && arg1>2 && arg2P_12>5 && 5+2*meter<=arg1P_12 && 3+2*meter<=arg3P_12 && arg1P_12>2 && arg3P_12>0 && 2+2*meter>2 && meter>=1 ], cost: 2+meter 40: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=3, arg2'=arg2, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ arg1P_12<=arg1 && arg2>1 && 2+arg3P_12<=arg1 && arg1>2 && arg2P_12>5 && 6+4*meter_1<=arg1P_12 && 4+4*meter_1<=arg3P_12 && arg1P_12>2 && arg3P_12>0 && 3+4*meter_1>3 && meter_1>=1 ], cost: 2+meter_1 29: __init -> f499_0_createTree_GT : arg1'=arg1P_1, arg2'=arg2P_17, arg3'=1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg1P_1>-1 && arg2P_17>0 && arg1P_17>0 ], cost: 2 30: __init -> f1061_0_main_InvokeMethod : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, [ arg2P_17>0 && arg1P_2<=arg1P_17 && arg1P_17>0 && arg1P_2>0 && arg2P_2>-1 ], cost: 2 Applied pruning (of leafs and parallel rules): Start location: __init 31: f499_0_createTree_GT -> f499_0_createTree_GT : arg1'=-2+arg1, arg2'=arg2, arg3'=1+arg3, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg1>0 && arg3>0 && arg30 ], cost: 2 32: f499_0_createTree_GT -> f499_0_createTree_GT : arg1'=-2+arg1, arg2'=arg2, arg3'=arg6P_8, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg1>0 && arg3>0 && arg31 && arg6P_8>1 ], cost: 3 33: f499_0_createTree_GT -> [11] : [ arg1>0 && arg3>0 && arg30 ], cost: 1+arg4P_5 34: f499_0_createTree_GT -> [11] : [ arg1>0 && arg3>0 && arg30 && arg6P_8>1 ], cost: 1+arg4P_5 3: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=arg1P_4, arg2'=arg3, arg3'=arg3P_4, arg4'=arg4P_4, arg5'=arg5P_4, arg6'=arg6P_4, [ arg3>1 && arg1P_4<=arg2 && arg1>0 && arg2>-1 && arg1P_4>-1 ], cost: 1 22: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=2, arg2'=arg3, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ arg3>1 && 2+2*meter<=arg2 && arg1>0 && arg2>-1 && 2+2*meter>2 && meter>=1 ], cost: 1+meter 24: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=3, arg2'=arg3, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ arg3>1 && 3+4*meter_1<=arg2 && arg1>0 && arg2>-1 && 3+4*meter_1>3 && meter_1>=1 ], cost: 1+meter_1 35: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=arg1P_13, arg2'=arg2, arg3'=arg3P_13, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, [ arg1P_11<=arg1 && arg2>1 && 2+arg3P_11<=arg1 && arg1>2 && arg2P_11>2 && 3+arg1P_13<=arg1P_11 && 1+arg1P_13<=arg3P_11 && arg1P_11>2 && arg3P_11>0 && arg1P_13>-1 ], cost: 2 36: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=2, arg2'=arg2, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ arg1P_11<=arg1 && arg2>1 && 2+arg3P_11<=arg1 && arg1>2 && arg2P_11>2 && 5+2*meter<=arg1P_11 && 3+2*meter<=arg3P_11 && arg1P_11>2 && arg3P_11>0 && 2+2*meter>2 && meter>=1 ], cost: 2+meter 37: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=3, arg2'=arg2, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ arg1P_11<=arg1 && arg2>1 && 2+arg3P_11<=arg1 && arg1>2 && arg2P_11>2 && 6+4*meter_1<=arg1P_11 && 4+4*meter_1<=arg3P_11 && arg1P_11>2 && arg3P_11>0 && 3+4*meter_1>3 && meter_1>=1 ], cost: 2+meter_1 39: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=2, arg2'=arg2, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ arg1P_12<=arg1 && arg2>1 && 2+arg3P_12<=arg1 && arg1>2 && arg2P_12>5 && 5+2*meter<=arg1P_12 && 3+2*meter<=arg3P_12 && arg1P_12>2 && arg3P_12>0 && 2+2*meter>2 && meter>=1 ], cost: 2+meter 40: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=3, arg2'=arg2, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ arg1P_12<=arg1 && arg2>1 && 2+arg3P_12<=arg1 && arg1>2 && arg2P_12>5 && 6+4*meter_1<=arg1P_12 && 4+4*meter_1<=arg3P_12 && arg1P_12>2 && arg3P_12>0 && 3+4*meter_1>3 && meter_1>=1 ], cost: 2+meter_1 29: __init -> f499_0_createTree_GT : arg1'=arg1P_1, arg2'=arg2P_17, arg3'=1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg1P_1>-1 && arg2P_17>0 && arg1P_17>0 ], cost: 2 30: __init -> f1061_0_main_InvokeMethod : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, [ arg2P_17>0 && arg1P_2<=arg1P_17 && arg1P_17>0 && arg1P_2>0 && arg2P_2>-1 ], cost: 2 Accelerating simple loops of location 1. Simplified some of the simple loops (and removed duplicate rules). Accelerating the following rules: 31: f499_0_createTree_GT -> f499_0_createTree_GT : arg1'=-2+arg1, arg3'=1+arg3, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg1>0 && arg3>0 && arg3 f499_0_createTree_GT : arg1'=-2+arg1, arg3'=arg6P_8, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg1>0 && arg3>0 && arg31 ], cost: 3 Found no metering function for rule 31. Accelerated rule 32 with metering function meter_2 (where 2*meter_2==arg1) (after strengthening guard), yielding the new rule 41. During metering: Instantiating temporary variables by {meter_2==1,arg6P_8==-1+arg2} Removing the simple loops:. Accelerating simple loops of location 4. Simplified some of the simple loops (and removed duplicate rules). Accelerating the following rules: 35: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=arg1P_13, arg3'=arg3P_13, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, [ arg2>1 && arg1>2 && arg1P_13>-1 && 3+arg1P_13<=arg1 ], cost: 2 39: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=2, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ arg2>1 && arg1>2 && 2+2*meter>2 && meter>=1 && 5+2*meter<=arg1 ], cost: 2+meter 40: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=3, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ arg2>1 && arg1>2 && 3+4*meter_1>3 && meter_1>=1 && 6+4*meter_1<=arg1 ], cost: 2+meter_1 During metering: Instantiating temporary variables by {arg1P_13==-3+arg1} Accelerated rule 35 with metering function meter_4 (where 3*meter_4==-2+arg1), yielding the new rule 42. Accelerated rule 39 with NONTERM (after strengthening guard), yielding the new rule 43. Accelerated rule 40 with NONTERM (after strengthening guard), yielding the new rule 44. Removing the simple loops: 35. Accelerated all simple loops using metering functions (where possible): Start location: __init 31: f499_0_createTree_GT -> f499_0_createTree_GT : arg1'=-2+arg1, arg3'=1+arg3, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg1>0 && arg3>0 && arg3 f499_0_createTree_GT : arg1'=-2+arg1, arg3'=arg6P_8, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg1>0 && arg3>0 && arg31 ], cost: 3 33: f499_0_createTree_GT -> [11] : [ arg1>0 && arg3>0 && arg30 ], cost: 1+arg4P_5 34: f499_0_createTree_GT -> [11] : [ arg1>0 && arg3>0 && arg30 && arg6P_8>1 ], cost: 1+arg4P_5 41: f499_0_createTree_GT -> f499_0_createTree_GT : arg1'=-2*meter_2+arg1, arg3'=arg6P_8, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg1>0 && arg3>0 && arg31 && arg6P_8=1 ], cost: 3*meter_2 3: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=arg1P_4, arg2'=arg3, arg3'=arg3P_4, arg4'=arg4P_4, arg5'=arg5P_4, arg6'=arg6P_4, [ arg3>1 && arg1P_4<=arg2 && arg1>0 && arg2>-1 && arg1P_4>-1 ], cost: 1 22: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=2, arg2'=arg3, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ arg3>1 && 2+2*meter<=arg2 && arg1>0 && arg2>-1 && 2+2*meter>2 && meter>=1 ], cost: 1+meter 24: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=3, arg2'=arg3, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ arg3>1 && 3+4*meter_1<=arg2 && arg1>0 && arg2>-1 && 3+4*meter_1>3 && meter_1>=1 ], cost: 1+meter_1 39: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=2, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ arg2>1 && arg1>2 && 2+2*meter>2 && meter>=1 && 5+2*meter<=arg1 ], cost: 2+meter 40: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=3, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ arg2>1 && arg1>2 && 3+4*meter_1>3 && meter_1>=1 && 6+4*meter_1<=arg1 ], cost: 2+meter_1 42: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=arg1-3*meter_4, arg3'=arg3P_13, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, [ arg2>1 && arg1>2 && 3*meter_4==-2+arg1 && meter_4>=1 ], cost: 2*meter_4 43: f1079_0_mirror_NULL -> [13] : [ arg2>1 && arg1>2 && 2+2*meter>2 && meter>=1 && 5+2*meter<=arg1 && 5+2*meter<=2 ], cost: NONTERM 44: f1079_0_mirror_NULL -> [13] : [ arg2>1 && arg1>2 && 3+4*meter_1>3 && meter_1>=1 && 6+4*meter_1<=arg1 && 6+4*meter_1<=3 ], cost: NONTERM 29: __init -> f499_0_createTree_GT : arg1'=arg1P_1, arg2'=arg2P_17, arg3'=1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg1P_1>-1 && arg2P_17>0 && arg1P_17>0 ], cost: 2 30: __init -> f1061_0_main_InvokeMethod : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, [ arg2P_17>0 && arg1P_2<=arg1P_17 && arg1P_17>0 && arg1P_2>0 && arg2P_2>-1 ], cost: 2 Chained accelerated rules (with incoming rules): Start location: __init 33: f499_0_createTree_GT -> [11] : [ arg1>0 && arg3>0 && arg30 ], cost: 1+arg4P_5 34: f499_0_createTree_GT -> [11] : [ arg1>0 && arg3>0 && arg30 && arg6P_8>1 ], cost: 1+arg4P_5 3: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=arg1P_4, arg2'=arg3, arg3'=arg3P_4, arg4'=arg4P_4, arg5'=arg5P_4, arg6'=arg6P_4, [ arg3>1 && arg1P_4<=arg2 && arg1>0 && arg2>-1 && arg1P_4>-1 ], cost: 1 22: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=2, arg2'=arg3, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ arg3>1 && 2+2*meter<=arg2 && arg1>0 && arg2>-1 && 2+2*meter>2 && meter>=1 ], cost: 1+meter 24: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=3, arg2'=arg3, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ arg3>1 && 3+4*meter_1<=arg2 && arg1>0 && arg2>-1 && 3+4*meter_1>3 && meter_1>=1 ], cost: 1+meter_1 48: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=2, arg2'=arg3, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ arg3>1 && arg1>0 && 2+2*meter>2 && meter>=1 && 3<=arg2 && 5+2*meter<=arg2 ], cost: 3+meter 49: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=3, arg2'=arg3, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ arg3>1 && arg1>0 && 3+4*meter_1>3 && meter_1>=1 && 3<=arg2 && 6+4*meter_1<=arg2 ], cost: 3+meter_1 50: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=2, arg2'=arg3, arg3'=arg3P_13, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, [ arg3>1 && 2+3*meter_4<=arg2 && arg1>0 && arg2>-1 && 2+3*meter_4>2 && meter_4>=1 ], cost: 1+2*meter_4 29: __init -> f499_0_createTree_GT : arg1'=arg1P_1, arg2'=arg2P_17, arg3'=1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg1P_1>-1 && arg2P_17>0 && arg1P_17>0 ], cost: 2 30: __init -> f1061_0_main_InvokeMethod : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, [ arg2P_17>0 && arg1P_2<=arg1P_17 && arg1P_17>0 && arg1P_2>0 && arg2P_2>-1 ], cost: 2 45: __init -> f499_0_createTree_GT : arg1'=-2+arg1P_1, arg2'=arg2P_17, arg3'=2, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg1P_1>0 && 1 f499_0_createTree_GT : arg1'=-2+arg1P_1, arg2'=arg2P_17, arg3'=arg6P_8, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg1P_1>0 && 11 ], cost: 5 47: __init -> f499_0_createTree_GT : arg1'=0, arg2'=arg2P_17, arg3'=arg6P_8, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ 2*meter_2>0 && 11 && arg6P_8=1 ], cost: 2+3*meter_2 Removed unreachable locations (and leaf rules with constant cost): Start location: __init 33: f499_0_createTree_GT -> [11] : [ arg1>0 && arg3>0 && arg30 ], cost: 1+arg4P_5 34: f499_0_createTree_GT -> [11] : [ arg1>0 && arg3>0 && arg30 && arg6P_8>1 ], cost: 1+arg4P_5 22: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=2, arg2'=arg3, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ arg3>1 && 2+2*meter<=arg2 && arg1>0 && arg2>-1 && 2+2*meter>2 && meter>=1 ], cost: 1+meter 24: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=3, arg2'=arg3, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ arg3>1 && 3+4*meter_1<=arg2 && arg1>0 && arg2>-1 && 3+4*meter_1>3 && meter_1>=1 ], cost: 1+meter_1 48: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=2, arg2'=arg3, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ arg3>1 && arg1>0 && 2+2*meter>2 && meter>=1 && 3<=arg2 && 5+2*meter<=arg2 ], cost: 3+meter 49: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=3, arg2'=arg3, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ arg3>1 && arg1>0 && 3+4*meter_1>3 && meter_1>=1 && 3<=arg2 && 6+4*meter_1<=arg2 ], cost: 3+meter_1 50: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=2, arg2'=arg3, arg3'=arg3P_13, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, [ arg3>1 && 2+3*meter_4<=arg2 && arg1>0 && arg2>-1 && 2+3*meter_4>2 && meter_4>=1 ], cost: 1+2*meter_4 29: __init -> f499_0_createTree_GT : arg1'=arg1P_1, arg2'=arg2P_17, arg3'=1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg1P_1>-1 && arg2P_17>0 && arg1P_17>0 ], cost: 2 30: __init -> f1061_0_main_InvokeMethod : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, [ arg2P_17>0 && arg1P_2<=arg1P_17 && arg1P_17>0 && arg1P_2>0 && arg2P_2>-1 ], cost: 2 45: __init -> f499_0_createTree_GT : arg1'=-2+arg1P_1, arg2'=arg2P_17, arg3'=2, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg1P_1>0 && 1 f499_0_createTree_GT : arg1'=-2+arg1P_1, arg2'=arg2P_17, arg3'=arg6P_8, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg1P_1>0 && 11 ], cost: 5 47: __init -> f499_0_createTree_GT : arg1'=0, arg2'=arg2P_17, arg3'=arg6P_8, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ 2*meter_2>0 && 11 && arg6P_8=1 ], cost: 2+3*meter_2 Eliminated locations (on tree-shaped paths): Start location: __init 51: __init -> [11] : arg1'=arg1P_1, arg2'=arg2P_17, arg3'=1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg1P_17>0 && arg1P_1>0 && 10 ], cost: 3+arg4P_5 52: __init -> [11] : arg1'=arg1P_1, arg2'=arg2P_17, arg3'=1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg1P_17>0 && arg1P_1>0 && 10 && arg6P_8>1 ], cost: 3+arg4P_5 53: __init -> [11] : arg1'=-2+arg1P_1, arg2'=arg2P_17, arg3'=2, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ -2+arg1P_1>0 && 20 ], cost: 5+arg4P_5 54: __init -> [11] : arg1'=-2+arg1P_1, arg2'=arg2P_17, arg3'=2, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ -2+arg1P_1>0 && 20 && arg6P_8>1 ], cost: 5+arg4P_5 55: __init -> [11] : arg1'=-2+arg1P_1, arg2'=arg2P_17, arg3'=arg6P_8, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ 11 && -2+arg1P_1>0 && arg6P_80 ], cost: 6+arg4P_5 56: __init -> [11] : arg1'=-2+arg1P_1, arg2'=arg2P_17, arg3'=arg6P_8, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ 11 && -2+arg1P_1>0 && arg6P_80 ], cost: 6+arg4P_5 57: __init -> [14] : [ 2*meter_2>0 && 11 && arg6P_8=1 ], cost: 2+3*meter_2 58: __init -> f1079_0_mirror_NULL : arg1'=2, arg2'=arg3P_2, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ arg2P_17>0 && arg1P_2<=arg1P_17 && arg1P_17>0 && arg1P_2>0 && arg2P_2>-1 && arg3P_2>1 && 2+2*meter<=arg2P_2 && 2+2*meter>2 && meter>=1 ], cost: 3+meter 59: __init -> f1079_0_mirror_NULL : arg1'=3, arg2'=arg3P_2, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ arg2P_17>0 && arg1P_2<=arg1P_17 && arg1P_17>0 && arg1P_2>0 && arg2P_2>-1 && arg3P_2>1 && 3+4*meter_1<=arg2P_2 && 3+4*meter_1>3 && meter_1>=1 ], cost: 3+meter_1 60: __init -> f1079_0_mirror_NULL : arg1'=2, arg2'=arg3P_2, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ arg2P_17>0 && arg1P_2<=arg1P_17 && arg1P_17>0 && arg1P_2>0 && arg3P_2>1 && 2+2*meter>2 && meter>=1 && 3<=arg2P_2 && 5+2*meter<=arg2P_2 ], cost: 5+meter 61: __init -> f1079_0_mirror_NULL : arg1'=3, arg2'=arg3P_2, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ arg2P_17>0 && arg1P_2<=arg1P_17 && arg1P_17>0 && arg1P_2>0 && arg3P_2>1 && 3+4*meter_1>3 && meter_1>=1 && 3<=arg2P_2 && 6+4*meter_1<=arg2P_2 ], cost: 5+meter_1 62: __init -> f1079_0_mirror_NULL : arg1'=2, arg2'=arg3P_2, arg3'=arg3P_13, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, [ arg2P_17>0 && arg1P_2<=arg1P_17 && arg1P_17>0 && arg1P_2>0 && arg2P_2>-1 && arg3P_2>1 && 2+3*meter_4<=arg2P_2 && 2+3*meter_4>2 && meter_4>=1 ], cost: 3+2*meter_4 ### Computing asymptotic complexity ### Fully simplified ITS problem Start location: __init 51: __init -> [11] : arg1'=arg1P_1, arg2'=arg2P_17, arg3'=1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg1P_17>0 && arg1P_1>0 && 10 ], cost: 3+arg4P_5 52: __init -> [11] : arg1'=arg1P_1, arg2'=arg2P_17, arg3'=1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg1P_17>0 && arg1P_1>0 && 10 && arg6P_8>1 ], cost: 3+arg4P_5 53: __init -> [11] : arg1'=-2+arg1P_1, arg2'=arg2P_17, arg3'=2, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ -2+arg1P_1>0 && 20 ], cost: 5+arg4P_5 54: __init -> [11] : arg1'=-2+arg1P_1, arg2'=arg2P_17, arg3'=2, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ -2+arg1P_1>0 && 20 && arg6P_8>1 ], cost: 5+arg4P_5 56: __init -> [11] : arg1'=-2+arg1P_1, arg2'=arg2P_17, arg3'=arg6P_8, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ 11 && -2+arg1P_1>0 && arg6P_80 ], cost: 6+arg4P_5 57: __init -> [14] : [ 2*meter_2>0 && 11 && arg6P_8=1 ], cost: 2+3*meter_2 58: __init -> f1079_0_mirror_NULL : arg1'=2, arg2'=arg3P_2, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ arg2P_17>0 && arg1P_2<=arg1P_17 && arg1P_17>0 && arg1P_2>0 && arg2P_2>-1 && arg3P_2>1 && 2+2*meter<=arg2P_2 && 2+2*meter>2 && meter>=1 ], cost: 3+meter 59: __init -> f1079_0_mirror_NULL : arg1'=3, arg2'=arg3P_2, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ arg2P_17>0 && arg1P_2<=arg1P_17 && arg1P_17>0 && arg1P_2>0 && arg2P_2>-1 && arg3P_2>1 && 3+4*meter_1<=arg2P_2 && 3+4*meter_1>3 && meter_1>=1 ], cost: 3+meter_1 60: __init -> f1079_0_mirror_NULL : arg1'=2, arg2'=arg3P_2, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ arg2P_17>0 && arg1P_2<=arg1P_17 && arg1P_17>0 && arg1P_2>0 && arg3P_2>1 && 2+2*meter>2 && meter>=1 && 3<=arg2P_2 && 5+2*meter<=arg2P_2 ], cost: 5+meter 61: __init -> f1079_0_mirror_NULL : arg1'=3, arg2'=arg3P_2, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ arg2P_17>0 && arg1P_2<=arg1P_17 && arg1P_17>0 && arg1P_2>0 && arg3P_2>1 && 3+4*meter_1>3 && meter_1>=1 && 3<=arg2P_2 && 6+4*meter_1<=arg2P_2 ], cost: 5+meter_1 62: __init -> f1079_0_mirror_NULL : arg1'=2, arg2'=arg3P_2, arg3'=arg3P_13, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, [ arg2P_17>0 && arg1P_2<=arg1P_17 && arg1P_17>0 && arg1P_2>0 && arg2P_2>-1 && arg3P_2>1 && 2+3*meter_4<=arg2P_2 && 2+3*meter_4>2 && meter_4>=1 ], cost: 3+2*meter_4 Computing asymptotic complexity for rule 51 Solved the limit problem by the following transformations: Created initial limit problem: arg1P_17 (+/+!), arg1P_1 (+/+!), -1+arg2P_17 (+/+!), 3+arg4P_5 (+), arg4P_5 (+/+!) [not solved] removing all constraints (solved by SMT) resulting limit problem: [solved] applying transformation rule (C) using substitution {arg2P_17==n,arg1P_17==n,arg1P_1==n,arg4P_5==n} resulting limit problem: [solved] Solution: arg2P_17 / n arg1P_17 / n arg1P_1 / n arg4P_5 / n Resulting cost 3+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: 3+n Rule cost: 3+arg4P_5 Rule guard: [ arg1P_17>0 && arg1P_1>0 && 10 ] WORST_CASE(INF,?)