Preprocessing

Found invariant 0 ≤ X₀ for location l1

Probabilistic Analysis

Probabilistic Program after Preprocessing

Start: l0
Program_Vars: X₀
Temp_Vars: T
Locations: l0, l1
Transitions:
g₀:l0(X₀) → t₁:l1(T) :|: 1 ≤ T
g₂:l1(X₀) → [1/2]:t₃:l1(0) :+: [1/2]:t₄:l1(X₀) :|: 1 ≤ X₀ ∧ 0 ≤ X₀

Run classical analysis on SCC: [l0]

Classical Approximation after Lifting Classical Results

All Bounds
Timebounds

Overall timebound:inf {Infinity}
g₀: 1 {O(1)}
g₂: inf {Infinity}

Costbounds

Overall costbound: inf {Infinity}
g₀: inf {Infinity}
g₂: inf {Infinity}

Sizebounds

Run probabilistic analysis on SCC: [l0]

Run classical analysis on SCC: [l1]

Classical Approximation after Lifting Classical Results

All Bounds
Timebounds

Overall timebound:inf {Infinity}
g₀: 1 {O(1)}
g₂: inf {Infinity}

Costbounds

Overall costbound: inf {Infinity}
g₀: inf {Infinity}
g₂: inf {Infinity}

Sizebounds

Run probabilistic analysis on SCC: [l1]

Results of Probabilistic Analysis

All Bounds

Timebounds

Overall timebound:inf {Infinity}
g₀: 1 {O(1)}
g₂: inf {Infinity}

Costbounds

Overall costbound: inf {Infinity}
g₀: 1 {O(1)}
g₂: inf {Infinity}

Sizebounds