Reach with room to grow

Does the reach effect carry to growable tapes? The locality-emergence sweep saw radius 4 emerge four times as often as radius 1 on fixed 64-byte tapes. The host–parasite control's world at cap 128, at radius 4: does it emerge more often than that control did at radius 1, and so give a pool of emerged worlds with room to grow?

Substrate: soup
Status: finished
Epochs per run: 20,000
Runs finished: 270 / 270
Transition rate: 171 of 270 finished runs flagged by the detector (63%), 133 confirmed by a replicator

Findings resting on this sweep: On growable tapes, a reach of 4 emerges more than ten times as often as radius 1 published

This experiment sweeps no parameter, so it has no phase diagram.

Detector against replicator census, per arm

Flagged only
Replicators only
Both

The two outer bars of an arm are its disagreements: runs the detector flagged with no replicator ever counted, and runs that counted one without being flagged.

Detector against replicator census, per arm — flagged runs held compress_ratio below 0.6, replicating runs counted at least one replicator at the locked top_k 16; the wider column re-reads the stored worlds of the same runs at top_k 64 and is blank for an arm no corpus pass has measured

Arm	Sampled runs	Flagged	Replicators	Replicators at top_k 64	Both	Either but not both
reach-cap128	270	171	88		88	83

The pre-registered reading final

Every run of the two arms has finished and had every world it kept read. A run emerged where it has a confirmed emergence epoch and the orientation-aware census of some world it kept, from that epoch on, reads replicator_share of at least 50%. The control is the host–parasite sweep's economy-off arm at cap 128, at radius 1.

Runs per arm, counted so far. The rate is emerged over counted; the medians are over the emerged runs.

Arm	Runs	Finished	Counted	Emerged	Rate	Median emergence epoch	Median terminal share	Median dominant length	Median dominant instructions	Eligible parents
radius 4	270	270	270	119	44%	10960	92%	128	19	108
control, radius 1	270	270	270	11	4%	12620	89%	128	20	11

H-reach128

Radius 4 with room to grow emerges more often than the cap-128 control at radius 1: shown

One one-sided Fisher exact test at p < 0.05: radius 4 119/270 against control, radius 1 11/270, p = 1.5e-30. An eligible parent is an emerged world whose terminal stored world reads a share of at least 50%; no later sweep's parent rule is set by it.

Replicators by the orientation-aware detector

The detector reads a random sample of 256 cells of a stored world and runs each cell's tape down a chain of 5 runs against fresh noise, each copy carried into the next run. After the last run the first half holds the fourth copy, back in the tape's own orientation even for a tape that writes its reverse; the cell passes where 3/4 of its positions match the original, each position read by the majority of 5 trials. The locked census counts only same-orientation copies among the 16 commonest tapes, so it reads zero in worlds of reverse copiers. Only the worlds a run kept are read — the first and the last, one about every 1000 epochs and the one nearest the transition — so every run is read at the same cadence, and a first replicator epoch here is no finer than that. Live samples are not used. A run is measured once the corpus pass has read every world it kept; until then it counts in none of the census columns, and the pass is re-run as runs finish. A world holds replicators where at least 50% of its sampled cells pass. This is a companion reading: it relocks neither the census nor the emergence rule (#245).

Detector, emergence rule and orientation-aware census, per arm, over finished runs — the census columns count measured runs only

Arm	Finished runs	Measured	Flagged	Emerged	Replicator worlds	Held to the end	Replicators, not emerged	Emerged, no replicators	Median first replicator epoch (coarse)
reach-cap128	270	270	171	133	126	113	7	14	~12,000

Download oriented census (CSV)

Runs

Download CSV Download transition report (CSV)

Seed	Status	Priority	Epochs done	Transition epoch	Census
61	finished	30	20,000	8,210 confirmed	110	Run
62	finished	30	20,000	15,560 flagged	— detector only	Run
63	finished	30	20,000	7,790 confirmed	182	Run
64	finished	30	20,000	—	—	Run
65	finished	30	20,000	—	—	Run
66	finished	30	20,000	7,270 flagged	— detector only	Run
67	finished	30	20,000	18,990 confirmed	385	Run
68	finished	30	20,000	—	—	Run
69	finished	30	20,000	19,500 flagged	— detector only	Run
70	finished	30	20,000	11,230 confirmed	146	Run
71	finished	30	20,000	9,640 flagged	— detector only	Run
72	finished	30	20,000	6,610 confirmed	80	Run
73	finished	30	20,000	—	—	Run
74	finished	30	20,000	—	—	Run
75	finished	30	20,000	—	—	Run
76	finished	30	20,000	9,800 confirmed	62	Run
77	finished	30	20,000	—	—	Run
78	finished	30	20,000	—	—	Run
79	finished	30	20,000	1,260 confirmed	77	Run
80	finished	30	20,000	—	—	Run