Initial Problem
Start: l0
Program_Vars: X₀
Temp_Vars:
Locations: l0, l1
Transitions:
t₀: l0(X₀) → l1(X₀)
t₁: l1(X₀) → l1(X₀-1) :|: 2 ≤ X₀
t₂: l1(X₀) → l1(X₀-1) :|: X₀ ≤ 1
Preprocessing
Problem after Preprocessing
Start: l0
Program_Vars: X₀
Temp_Vars:
Locations: l0, l1
Transitions:
t₀: l0(X₀) → l1(X₀)
t₁: l1(X₀) → l1(X₀-1) :|: 2 ≤ X₀
t₂: l1(X₀) → l1(X₀-1) :|: X₀ ≤ 1
MPRF for transition t₁: l1(X₀) → l1(X₀-1) :|: 2 ≤ X₀ of depth 1:
new bound:
X₀ {O(n)}
Analysing control-flow refined program
Found invariant 1 ≤ X₀ for location n_l1___2
Found invariant X₀ ≤ 0 for location n_l1___1
MPRF for transition t₄₅: n_l1___2(X₀) → n_l1___2(X₀-1) :|: 1 ≤ X₀ ∧ 2 ≤ X₀ ∧ 1 ≤ X₀ of depth 1:
new bound:
X₀ {O(n)}
CFR did not improve the program. Rolling back
CFR did not improve the program. Rolling back
All Bounds
Timebounds
Overall timebound:inf {Infinity}
t₀: 1 {O(1)}
t₁: X₀ {O(n)}
t₂: inf {Infinity}
Costbounds
Overall costbound: inf {Infinity}
t₀: 1 {O(1)}
t₁: X₀ {O(n)}
t₂: inf {Infinity}
Sizebounds
t₀, X₀: X₀ {O(n)}
t₁, X₀: X₀ {O(n)}