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.
- 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.
| 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.
| 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).
| 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 |
Runs
Download CSV Download transition report (CSV)
| Seed | Status | Priority | Epochs done | Transition epoch | Census | |
|---|---|---|---|---|---|---|
| 221 | finished | 30 | 20,000 | — | — | Run |
| 222 | finished | 30 | 20,000 | — | — | Run |
| 223 | finished | 30 | 20,000 | — | — | Run |
| 224 | finished | 30 | 20,000 | 16,030 confirmed | 69 | Run |
| 225 | finished | 30 | 20,000 | 8,700 confirmed | 64 | Run |
| 226 | finished | 30 | 20,000 | 17,480 flagged | — detector only | Run |
| 227 | finished | 30 | 20,000 | — | — | Run |
| 228 | finished | 30 | 20,000 | 17,500 flagged | — detector only | Run |
| 229 | finished | 30 | 20,000 | 14,620 confirmed | 114 | Run |
| 230 | finished | 30 | 20,000 | — | — | Run |
| 231 | finished | 30 | 20,000 | 18,120 confirmed | 77 | Run |
| 232 | finished | 30 | 20,000 | — | — | Run |
| 233 | finished | 30 | 20,000 | — | — | Run |
| 234 | finished | 30 | 20,000 | 18,240 flagged | — detector only | Run |
| 235 | finished | 30 | 20,000 | 10,960 confirmed | 155 | Run |
| 236 | finished | 30 | 20,000 | 7,180 confirmed | 631 | Run |
| 237 | finished | 30 | 20,000 | 6,180 confirmed | — detector only | Run |
| 238 | finished | 30 | 20,000 | — | — | Run |
| 239 | finished | 30 | 20,000 | — | — | Run |
| 240 | finished | 30 | 20,000 | 6,790 confirmed | 117 | Run |