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Note: a pure-width fitness function

2000 steps may not be enough

In[]:=

ParallelTable[i->ResourceFunction["AdaptiveCellularAutomaton"][<|"MutationFunction"->{2,"Symmetric"->True},"InitialRule"->{0,5,1},"AdaptiveIterations"->10000,"MaxSteps"->2000,"FitnessFunction":>(If[TestCALifetime[#]==-Infinity,-Infinity,Times@@Dimensions[#]]&[CellularAutomaton[#1,{{1},0},2000]]&)|>,"BreakthroughStates","Plot","PlottingRegion"->"Lifetime","PlotLabels"->({#Fitness,#Index}&),RandomSeeding->2326+i],{i,150}]

LinkObject

:Unable to communicate with closed link LinkObject[56345@127.0.0.1,83560,136].

KernelObject

:Discarding kernel 94 (epsilon.wolfram.com//usr/local/bin/wolfram150).

LaunchKernels

:Requeueing evaluations {175} assigned to dead kernel 94 (epsilon.wolfram.com//usr/local/bin/wolfram150).

LaunchKernels

:dead kernel 94 (epsilon.wolfram.com//usr/local/bin/wolfram150) resurrected as kernel 204 (epsilon.wolfram.com//usr/local/bin/wolfram150).

LinkObject

:Unable to communicate with closed link LinkObject[56348@127.0.0.1,83500,76].

KernelObject

:Discarding kernel 110 (threadripper.wolfram.com//usr/local/bin/wolfram150).

LaunchKernels

:Requeueing evaluations {191} assigned to dead kernel 110 (threadripper.wolfram.com//usr/local/bin/wolfram150).

LaunchKernels

:dead kernel 110 (threadripper.wolfram.com//usr/local/bin/wolfram150) resurrected as kernel 205 (threadripper.wolfram.com//usr/local/bin/wolfram150).

Out[]=

ParallelTable[i->ResourceFunction["AdaptiveCellularAutomaton"][<|"MutationFunction"->{2,"Symmetric"->True},"InitialRule"->{0,5,1},"AdaptiveIterations"->10000,"MaxSteps"->5000,"FitnessFunction":>(If[TestCALifetime[#]==-Infinity,-Infinity,Times@@Dimensions[#]]&[CellularAutomaton[#1,{{1},0},2000]]&)|>,"RuleChanges",RandomSeeding->2326+i],{i,150}]