Initial Problem

Start: eval_foo_start
Program_Vars: X₀, X₁, X₂
Temp_Vars:
Locations: eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb3_in, eval_foo_start, eval_foo_stop
Transitions:
t₁: eval_foo_bb0_in(X₀, X₁, X₂) → eval_foo_bb1_in(1, X₁, X₂)
t₂: eval_foo_bb1_in(X₀, X₁, X₂) → eval_foo_bb2_in(X₀, X₁, X₂) :|: 0 ≤ X₀
t₃: eval_foo_bb1_in(X₀, X₁, X₂) → eval_foo_bb3_in(X₀, X₁, X₂) :|: 1+X₀ ≤ 0
t₄: eval_foo_bb2_in(X₀, X₁, X₂) → eval_foo_bb1_in(2⋅X₀, X₁, X₂)
t₅: eval_foo_bb3_in(X₀, X₁, X₂) → eval_foo_stop(X₀, X₁, X₂)
t₀: eval_foo_start(X₀, X₁, X₂) → eval_foo_bb0_in(X₀, X₁, X₂)

Preprocessing

Eliminate variables [X₁; X₂] that do not contribute to the problem

Found invariant 1 ≤ X₀ for location eval_foo_bb2_in

Found invariant 1 ≤ X₀ for location eval_foo_bb1_in

Found invariant 1 ≤ 0 for location eval_foo_stop

Found invariant 1 ≤ 0 for location eval_foo_bb3_in

Cut unsatisfiable transition [t₁₃: eval_foo_bb1_in→eval_foo_bb3_in; t₁₅: eval_foo_bb3_in→eval_foo_stop]

Cut unreachable locations [eval_foo_bb3_in; eval_foo_stop] from the program graph

Problem after Preprocessing

Start: eval_foo_start
Program_Vars: X₀
Temp_Vars:
Locations: eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_start
Transitions:
t₁₁: eval_foo_bb0_in(X₀) → eval_foo_bb1_in(1)
t₁₂: eval_foo_bb1_in(X₀) → eval_foo_bb2_in(X₀) :|: 0 ≤ X₀ ∧ 1 ≤ X₀
t₁₄: eval_foo_bb2_in(X₀) → eval_foo_bb1_in(2⋅X₀) :|: 1 ≤ X₀
t₁₆: eval_foo_start(X₀) → eval_foo_bb0_in(X₀)

Found invariant 2 ≤ X₀ for location eval_foo_bb2_in_v2

Found invariant 2 ≤ X₀ for location eval_foo_bb1_in_v1

Found invariant X₀ ≤ 1 ∧ 1 ≤ X₀ for location eval_foo_bb1_in

Found invariant X₀ ≤ 1 ∧ 1 ≤ X₀ for location eval_foo_bb2_in_v1

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₁₁: 1 {O(1)}
t₁₂: inf {Infinity}
t₁₄: inf {Infinity}
t₁₆: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
t₁₁: 1 {O(1)}
t₁₂: inf {Infinity}
t₁₄: inf {Infinity}
t₁₆: 1 {O(1)}

Sizebounds

t₁₁, X₀: 1 {O(1)}
t₁₆, X₀: X₀ {O(n)}