Initial Problem

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

Preprocessing

Problem after Preprocessing

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

Found invariant 2+X₂ ≤ X₀ for location eval_v1

Found invariant 2+X₁ ≤ X₀ for location eval_v2

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)}