PRISM

Benchmark
Model:nand v.1 (DTMC)
Parameter(s)N = 60, K = 4
Property:reliable (prob-reach)
Invocation (default)
./fix-syntax ./prism -javamaxmem 11g -cuddmaxmem 4g -ii -e 5e-2 -heuristic speed -ddextraactionvars 100 -maxiters 1000000 nand.prism nand.props --property reliable -const N=60,K=4
Execution
Walltime:47.98578381538391s
Return code:0
Relative Error:9.757289190160055e-15
Log
PRISM
=====

Version: 4.5.dev
Date: Sat Mar 14 12:20:31 UTC 2020
Hostname: e72bdd194fc5
Memory limits: cudd=4g, java(heap)=11g
Command line: prism -javamaxmem 11g -cuddmaxmem 4g -ii -e 5e-2 -heuristic speed -ddextraactionvars 100 -maxiters 1000000 nand.prism nand.props --property reliable -const 'N=60,K=4'

Parsing model file "nand.prism"...

Type:        DTMC
Modules:     multiplex 
Variables:   u c s z zx zy x y 

Parsing properties file "nand.props"...

1 property:
(1) "reliable": P=? [ F s=4&z/N<0.1 ]

---------------------------------------------------------------------

Model checking: "reliable": P=? [ F s=4&z/N<0.1 ]
Model constants: N=60,K=4

Warning: Switching to sparse engine and (backwards) Gauss Seidel (default for heuristic=speed).

Building model...
Model constants: N=60,K=4

Computing reachable states...

Reachability (BFS): 2162 iterations in 12.86 seconds (average 0.005950, setup 0.00)

Time for model construction: 13.351 seconds.

Type:        DTMC
States:      18826082 (1 initial)
Transitions: 29772212

Transition matrix: 97452 nodes (1103 terminal), 29772212 minterms, vars: 33r/33c

Prob0: 2162 iterations in 12.53 seconds (average 0.005797, setup 0.00)

Prob1: 1945 iterations in 10.80 seconds (average 0.005551, setup 0.00)

yes = 547, no = 1757695, maybe = 17067840

Computing remaining probabilities...
Engine: Sparse

Building sparse matrix... [n=18826082, nnz=26994875] [326.9 MB]
Creating vector for diagonals... [dist=1, compact] [35.9 MB]
Creating vector for RHS... [dist=2, compact] [35.9 MB]
Allocating iteration vectors... [ 2 x 143.6 MB]
TOTAL: [686.0 MB]

Starting iterations...
Max relative diff between upper and lower bound on convergence: 0
Backwards Gauss-Seidel (interval iteration): 1 iterations in 9.55 seconds (average 0.346000, setup 9.21)

Value in the initial state: 0.6867214589192238

Time for model checking: 33.882 seconds.

Result: 0.6867214589192238 (value in the initial state)


Overall running time: 47.812 seconds.

---------------------------------------------------------------------

Note: There was 1 warning during computation.