Life Simulator

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
reach-cap128 0 20 40 60 80 100 Arm Runs reach-cap128 — flagged only: 83 of 270 sampled runs reach-cap128 — replicators only: 0 of 270 sampled runs reach-cap128 — both: 88 of 270 sampled runs
  • 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
1 finished 30 20,000 — — Run
2 finished 30 20,000 — — Run
3 finished 30 20,000 — — Run
4 finished 30 20,000 4,930 confirmed 143 Run
5 finished 30 20,000 7,540 confirmed 78 Run
6 finished 30 20,000 — — Run
7 finished 30 20,000 — — Run
8 finished 30 20,000 — — Run
9 finished 30 20,000 11,030 flagged — detector only Run
10 finished 30 20,000 16,850 flagged — detector only Run
11 finished 30 20,000 4,770 confirmed 133 Run
12 finished 30 20,000 — — Run
13 finished 30 20,000 17,680 confirmed 48 Run
14 finished 30 20,000 16,360 confirmed 73 Run
15 finished 30 20,000 8,580 flagged — detector only Run
16 finished 30 20,000 11,760 flagged — detector only Run
17 finished 30 20,000 — — Run
18 finished 30 20,000 12,500 confirmed 184 Run
19 finished 30 20,000 15,910 confirmed 133 Run
20 finished 30 20,000 — — Run