* Step 1: Sum WORST_CASE(?,O(n^1))
+ Considered Problem:
- Strict TRS:
+(*(x,y),*(x,z)) -> *(x,+(y,z))
+(*(x,y),+(*(x,z),u())) -> +(*(x,+(y,z)),u())
+(+(x,y),z) -> +(x,+(y,z))
- Signature:
{+/2} / {*/2,u/0}
- Obligation:
innermost runtime complexity wrt. defined symbols {+} and constructors {*,u}
+ Applied Processor:
Sum {left = someStrategy, right = someStrategy}
+ Details:
()
* Step 2: Bounds WORST_CASE(?,O(n^1))
+ Considered Problem:
- Strict TRS:
+(*(x,y),*(x,z)) -> *(x,+(y,z))
+(*(x,y),+(*(x,z),u())) -> +(*(x,+(y,z)),u())
+(+(x,y),z) -> +(x,+(y,z))
- Signature:
{+/2} / {*/2,u/0}
- Obligation:
innermost runtime complexity wrt. defined symbols {+} and constructors {*,u}
+ Applied Processor:
Bounds {initialAutomaton = minimal, enrichment = match}
+ Details:
The problem is match-bounded by 1.
The enriched problem is compatible with follwoing automaton.
*_0(2,2) -> 2
*_1(2,3) -> 1
*_1(2,3) -> 3
+_0(2,2) -> 1
+_1(2,2) -> 3
u_0() -> 2
* Step 3: EmptyProcessor WORST_CASE(?,O(1))
+ Considered Problem:
- Weak TRS:
+(*(x,y),*(x,z)) -> *(x,+(y,z))
+(*(x,y),+(*(x,z),u())) -> +(*(x,+(y,z)),u())
+(+(x,y),z) -> +(x,+(y,z))
- Signature:
{+/2} / {*/2,u/0}
- Obligation:
innermost runtime complexity wrt. defined symbols {+} and constructors {*,u}
+ Applied Processor:
EmptyProcessor
+ Details:
The problem is already closed. The intended complexity is O(1).
WORST_CASE(?,O(n^1))