Initial Problem

Start: l0
Program_Vars: X₀, X₁, X₂
Temp_Vars:
Locations: l0, l1
Transitions:
t₂: l0(X₀, X₁, X₂) → l1(X₀, X₁, X₂)
t₀: l1(X₀, X₁, X₂) → l1(X₀+X₁, X₁-2, X₂+1) :|: 0 ≤ X₀
t₁: l1(X₀, X₁, X₂) → l1(X₀+X₂, X₁, X₂-2) :|: 0 ≤ X₀

Preprocessing

Problem after Preprocessing

Start: l0
Program_Vars: X₀, X₁, X₂
Temp_Vars:
Locations: l0, l1
Transitions:
t₂: l0(X₀, X₁, X₂) → l1(X₀, X₁, X₂)
t₀: l1(X₀, X₁, X₂) → l1(X₀+X₁, X₁-2, X₂+1) :|: 0 ≤ X₀
t₁: l1(X₀, X₁, X₂) → l1(X₀+X₂, X₁, X₂-2) :|: 0 ≤ X₀

Analysing control-flow refined program

Found invariant 2+X₁ ≤ X₀ for location n_l1___2

Found invariant 2+X₂ ≤ X₀ for location n_l1___1

CFR did not improve the program. Rolling back

CFR did not improve the program. Rolling back

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₀: inf {Infinity}
t₁: inf {Infinity}
t₂: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
t₀: inf {Infinity}
t₁: inf {Infinity}
t₂: 1 {O(1)}

Sizebounds

t₂, X₀: X₀ {O(n)}
t₂, X₁: X₁ {O(n)}
t₂, X₂: X₂ {O(n)}