twin-paradox-rocket: the draft controller against the accepted one
Scenario s1: be home when Earth's clock reads 40 years, with a 1 g engine and a tank of 14 units of rapidity. Both runs come from the built plimsoll/sandbox-sim image through the project API; the fingerprints below are the SHA-256 of each trajectory as recorded from that image.
The simulator is written in C, compiled to WebAssembly and shipped in that image: its source, EXTERNAL · source repo ↗. A controller is a separate program that reads the simulator's observations each tick and sets its input. This page runs two hand-written controllers against it: a draft that makes a plausible mistake and fails, and an accepted one that passes the environment's scoring program. The controllers, the scoring program and the other scenarios are not published. Every simulator in the image, EXTERNAL · source repo ↗.
Work in progress. These charts show two hand-written reference controllers. No AI-generated controller is plotted for this environment yet.
Draft controllermissed dateordered earth date 40, earth date at arrival 14.457, ship age at arrival 7.95, fuel at arrival 7.95, farthest ly 5.524, top speed c 0.964
Accepted controllerscore 0.999ordered earth date 40, earth date at arrival 39.95, ship age at arrival 11.95, fuel at arrival 11.939, farthest ly 18.099, top speed c 0.995
Draft controllerAccepted controllerhard limit
Table view (100 rows)
| ship proper time, years | draft x_ly | draft beta | draft earth_time_yr | draft ship_time_yr | draft fuel_rapidity | draft action | accepted x_ly | accepted beta | accepted earth_time_yr | accepted ship_time_yr | accepted fuel_rapidity | accepted action |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 1.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 0.0000 | 5.0000 |
| 0.3 | 0.0446 | 0.2913 | 0.3044 | 0.3000 | 0.3000 | 1.0000 | 0.0445 | 0.2911 | 0.3044 | 0.3000 | 0.2998 | 0.9991 |
| 0.6 | 0.1839 | 0.5370 | 0.6362 | 0.6000 | 0.6000 | 1.0000 | 0.1837 | 0.5367 | 0.6361 | 0.6000 | 0.5995 | 0.9991 |
| 0.9 | 0.4305 | 0.7163 | 1.0254 | 0.9000 | 0.9000 | 1.0000 | 0.4301 | 0.7159 | 1.0252 | 0.9000 | 0.8992 | 0.9991 |
| 1.2 | 0.8069 | 0.8337 | 1.5074 | 1.2000 | 1.2000 | 1.0000 | 0.8061 | 0.8333 | 1.5069 | 1.2000 | 1.1990 | 0.9991 |
| 1.5 | 1.3471 | 0.9051 | 2.1259 | 1.5000 | 1.5000 | 1.0000 | 1.3456 | 0.9049 | 2.1247 | 1.5000 | 1.4987 | 0.9991 |
| 1.8 | 2.1001 | 0.9468 | 2.9369 | 1.8000 | 1.8000 | 1.0000 | 2.0974 | 0.9466 | 2.9347 | 1.8000 | 1.7984 | 0.9991 |
| 2.1 | 3.0985 | 0.9562 | 3.9795 | 2.1000 | 2.1000 | -1.0000 | 3.1298 | 0.9703 | 4.0100 | 2.1000 | 2.0982 | 0.9991 |
| 2.4 | 3.9410 | 0.9217 | 4.8742 | 2.4000 | 2.4000 | -1.0000 | 4.5360 | 0.9836 | 5.4481 | 2.4000 | 2.3979 | 0.9991 |
| 2.7 | 4.5492 | 0.8617 | 5.5529 | 2.7000 | 2.7000 | -1.0000 | 6.4434 | 0.9910 | 7.3791 | 2.7000 | 2.6977 | 0.9991 |
| 3 | 4.9784 | 0.7616 | 6.0772 | 3.0000 | 3.0000 | -1.0000 | 9.0246 | 0.9950 | 9.9778 | 3.0000 | 2.9974 | -0.9991 |
| 3.3 | 5.2673 | 0.6044 | 6.4945 | 3.3000 | 3.3000 | -1.0000 | 11.6188 | 0.9910 | 12.5895 | 3.3000 | 3.2971 | -0.9991 |
| 3.6 | 5.4423 | 0.3799 | 6.8428 | 3.6000 | 3.6000 | -1.0000 | 13.5358 | 0.9836 | 14.5300 | 3.6000 | 3.5969 | -0.9991 |
| 3.9 | 5.5191 | 0.0997 | 7.1536 | 3.9000 | 3.9000 | -1.0000 | 14.9492 | 0.9703 | 15.9751 | 3.9000 | 3.8966 | -0.9991 |
| 4.2 | 5.5048 | -0.1974 | 7.4550 | 4.2000 | 4.2000 | -1.0000 | 15.9870 | 0.9466 | 17.0557 | 4.2000 | 4.1963 | -0.9991 |
| 4.5 | 5.3981 | -0.4621 | 7.7745 | 4.5000 | 4.5000 | -1.0000 | 16.7429 | 0.9049 | 17.8694 | 4.5000 | 4.4961 | -0.9991 |
| 4.8 | 5.1892 | -0.6640 | 8.1410 | 4.8000 | 4.8000 | -1.0000 | 17.2855 | 0.8333 | 18.4899 | 4.8000 | 4.7958 | -0.9991 |
| 5.1 | 4.8592 | -0.8005 | 8.5877 | 5.1000 | 5.1000 | -1.0000 | 17.6638 | 0.7159 | 18.9735 | 5.1000 | 5.0955 | -0.9991 |
| 5.4 | 4.3783 | -0.8854 | 9.1552 | 5.4000 | 5.4000 | -1.0000 | 17.9122 | 0.5367 | 19.3638 | 5.4000 | 5.3953 | -0.9991 |
| 5.7 | 3.7027 | -0.9354 | 9.8948 | 5.7000 | 5.7000 | -1.0000 | 18.0530 | 0.2911 | 19.6962 | 5.7000 | 5.6950 | -0.9991 |
| 6 | 2.7713 | -0.9640 | 10.8737 | 6.0000 | 6.0000 | 1.0000 | 18.0991 | 0.0000 | 20.0008 | 6.0000 | 5.9947 | -0.9991 |
| 6.3 | 1.8349 | -0.9354 | 11.8573 | 6.3000 | 6.3000 | 1.0000 | 18.0546 | -0.2910 | 20.3052 | 6.3000 | 6.2945 | -0.9991 |
| 6.6 | 1.1557 | -0.8854 | 12.6003 | 6.6000 | 6.6000 | 1.0000 | 17.9154 | -0.5366 | 20.6370 | 6.6000 | 6.5942 | -0.9991 |
| 6.9 | 0.6719 | -0.8005 | 13.1702 | 6.9000 | 6.9000 | 1.0000 | 17.6690 | -0.7159 | 21.0260 | 6.9000 | 6.8939 | -0.9991 |
| 7.2 | 0.3397 | -0.6640 | 13.6185 | 7.2000 | 7.2000 | 1.0000 | 17.2931 | -0.8333 | 21.5077 | 7.2000 | 7.1937 | -0.9991 |
| 7.5 | 0.1289 | -0.4621 | 13.9861 | 7.5000 | 7.5000 | 1.0000 | 16.7537 | -0.9049 | 22.1255 | 7.5000 | 7.4934 | -0.9991 |
| 7.8 | 0.0206 | -0.1974 | 14.3061 | 7.8000 | 7.8000 | 1.0000 | 16.0019 | -0.9466 | 22.9353 | 7.8000 | 7.7931 | -0.9991 |
| 8.1 | -0.0000 | -0.0000 | 14.6075 | 8.1000 | 8.0000 | 0.0000 | 14.9697 | -0.9703 | 24.0106 | 8.1000 | 8.0929 | -0.9991 |
| 8.4 | -0.0000 | -0.0000 | 14.9075 | 8.4000 | 8.0000 | 0.0000 | 13.5636 | -0.9836 | 25.4485 | 8.4000 | 8.3926 | -0.9991 |
| 8.7 | -0.0000 | -0.0000 | 15.2075 | 8.7000 | 8.0000 | 0.0000 | 11.6564 | -0.9910 | 27.3794 | 8.7000 | 8.6923 | -0.9991 |
| 9 | -0.0000 | -0.0000 | 15.5075 | 9.0000 | 8.0000 | 0.0000 | 9.0754 | -0.9950 | 29.9779 | 9.0000 | 8.9921 | 0.9991 |
| 9.3 | -0.0000 | -0.0000 | 15.8075 | 9.3000 | 8.0000 | 0.0000 | 6.4814 | -0.9910 | 32.5893 | 9.3000 | 9.2918 | 0.9991 |
| 9.6 | -0.0000 | -0.0000 | 16.1075 | 9.6000 | 8.0000 | 0.0000 | 4.5645 | -0.9836 | 34.5297 | 9.6000 | 9.5915 | 0.9991 |
| 9.9 | -0.0000 | -0.0000 | 16.4075 | 9.9000 | 8.0000 | 0.0000 | 3.1513 | -0.9703 | 35.9747 | 9.9000 | 9.8913 | 0.9991 |
| 10.2 | -0.0000 | -0.0000 | 16.7075 | 10.2000 | 8.0000 | 0.0000 | 2.1136 | -0.9466 | 37.0551 | 10.2000 | 10.1910 | 0.9991 |
| 10.5 | -0.0000 | -0.0000 | 17.0075 | 10.5000 | 8.0000 | 0.0000 | 1.3578 | -0.9049 | 37.8687 | 10.5000 | 10.4907 | 0.9991 |
| 10.8 | -0.0000 | -0.0000 | 17.3075 | 10.8000 | 8.0000 | 0.0000 | 0.8152 | -0.8333 | 38.4892 | 10.8000 | 10.7905 | 0.9991 |
| 11.1 | -0.0000 | -0.0000 | 17.6075 | 11.1000 | 8.0000 | 0.0000 | 0.4369 | -0.7159 | 38.9727 | 11.1000 | 11.0902 | 0.9991 |
| 11.4 | -0.0000 | -0.0000 | 17.9075 | 11.4000 | 8.0000 | 0.0000 | 0.1886 | -0.5366 | 39.3630 | 11.4000 | 11.3899 | 0.9991 |
| 11.7 | -0.0000 | -0.0000 | 18.2075 | 11.7000 | 8.0000 | 0.0000 | 0.0478 | -0.2910 | 39.6955 | 11.7000 | 11.6897 | 0.9991 |
| 12 | -0.0000 | -0.0000 | 18.5075 | 12.0000 | 8.0000 | 0.0000 | 0.0018 | 0.0000 | 40.0001 | 12.0000 | 11.9894 | 0.0000 |
| 12.3 | -0.0000 | -0.0000 | 18.8075 | 12.3000 | 8.0000 | 0.0000 | 0.0018 | 0.0000 | 40.3001 | 12.3000 | 11.9894 | 0.0000 |
| 12.6 | -0.0000 | -0.0000 | 19.1075 | 12.6000 | 8.0000 | 0.0000 | 0.0018 | 0.0000 | 40.6001 | 12.6000 | 11.9894 | 0.0000 |
| 12.9 | -0.0000 | -0.0000 | 19.4075 | 12.9000 | 8.0000 | 0.0000 | 0.0018 | 0.0000 | 40.9001 | 12.9000 | 11.9894 | 0.0000 |
| 13.2 | -0.0000 | -0.0000 | 19.7075 | 13.2000 | 8.0000 | 0.0000 | 0.0018 | 0.0000 | 41.2001 | 13.2000 | 11.9894 | 0.0000 |
| 13.5 | -0.0000 | -0.0000 | 20.0075 | 13.5000 | 8.0000 | 0.0000 | 0.0018 | 0.0000 | 41.5001 | 13.5000 | 11.9894 | 0.0000 |
| 13.8 | -0.0000 | -0.0000 | 20.3075 | 13.8000 | 8.0000 | 0.0000 | 0.0019 | 0.0000 | 41.8001 | 13.8000 | 11.9894 | 0.0000 |
| 14.1 | -0.0000 | -0.0000 | 20.6075 | 14.1000 | 8.0000 | 0.0000 | 0.0019 | 0.0000 | 42.1001 | 14.1000 | 11.9894 | 0.0000 |
| 14.4 | -0.0000 | -0.0000 | 20.9075 | 14.4000 | 8.0000 | 0.0000 | 0.0019 | 0.0000 | 42.4001 | 14.4000 | 11.9894 | 0.0000 |
| 14.7 | -0.0000 | -0.0000 | 21.2075 | 14.7000 | 8.0000 | 0.0000 | 0.0019 | 0.0000 | 42.7001 | 14.7000 | 11.9894 | 0.0000 |
| 15 | -0.0000 | -0.0000 | 21.5075 | 15.0000 | 8.0000 | 0.0000 | 0.0019 | 0.0000 | 43.0001 | 15.0000 | 11.9894 | 0.0000 |
| 15.3 | -0.0000 | -0.0000 | 21.8075 | 15.3000 | 8.0000 | 0.0000 | 0.0019 | 0.0000 | 43.3001 | 15.3000 | 11.9894 | 0.0000 |
| 15.6 | -0.0000 | -0.0000 | 22.1075 | 15.6000 | 8.0000 | 0.0000 | 0.0019 | 0.0000 | 43.6001 | 15.6000 | 11.9894 | 0.0000 |
| 15.9 | -0.0000 | -0.0000 | 22.4075 | 15.9000 | 8.0000 | 0.0000 | 0.0019 | 0.0000 | 43.9001 | 15.9000 | 11.9894 | 0.0000 |
| 16.2 | -0.0000 | -0.0000 | 22.7075 | 16.2000 | 8.0000 | 0.0000 | 0.0020 | 0.0000 | 44.2001 | 16.2000 | 11.9894 | 0.0000 |
| 16.5 | -0.0000 | -0.0000 | 23.0075 | 16.5000 | 8.0000 | 0.0000 | 0.0020 | 0.0000 | 44.5001 | 16.5000 | 11.9894 | 0.0000 |
| 16.8 | -0.0000 | -0.0000 | 23.3075 | 16.8000 | 8.0000 | 0.0000 | 0.0020 | 0.0000 | 44.8001 | 16.8000 | 11.9894 | 0.0000 |
| 17.1 | -0.0000 | -0.0000 | 23.6075 | 17.1000 | 8.0000 | 0.0000 | 0.0020 | 0.0000 | 45.1001 | 17.1000 | 11.9894 | 0.0000 |
| 17.4 | -0.0000 | -0.0000 | 23.9075 | 17.4000 | 8.0000 | 0.0000 | 0.0020 | 0.0000 | 45.4001 | 17.4000 | 11.9894 | 0.0000 |
| 17.7 | -0.0000 | -0.0000 | 24.2075 | 17.7000 | 8.0000 | 0.0000 | 0.0020 | 0.0000 | 45.7001 | 17.7000 | 11.9894 | 0.0000 |
| 18 | -0.0000 | -0.0000 | 24.5075 | 18.0000 | 8.0000 | 0.0000 | 0.0020 | 0.0000 | 46.0001 | 18.0000 | 11.9894 | 0.0000 |
| 18.3 | -0.0000 | -0.0000 | 24.8075 | 18.3000 | 8.0000 | 0.0000 | 0.0021 | 0.0000 | 46.3001 | 18.3000 | 11.9894 | 0.0000 |
| 18.6 | -0.0000 | -0.0000 | 25.1075 | 18.6000 | 8.0000 | 0.0000 | 0.0021 | 0.0000 | 46.6001 | 18.6000 | 11.9894 | 0.0000 |
| 18.9 | -0.0000 | -0.0000 | 25.4075 | 18.9000 | 8.0000 | 0.0000 | 0.0021 | 0.0000 | 46.9001 | 18.9000 | 11.9894 | 0.0000 |
| 19.2 | -0.0000 | -0.0000 | 25.7075 | 19.2000 | 8.0000 | 0.0000 | 0.0021 | 0.0000 | 47.2001 | 19.2000 | 11.9894 | 0.0000 |
| 19.5 | -0.0000 | -0.0000 | 26.0075 | 19.5000 | 8.0000 | 0.0000 | 0.0021 | 0.0000 | 47.5001 | 19.5000 | 11.9894 | 0.0000 |
| 19.8 | -0.0000 | -0.0000 | 26.3075 | 19.8000 | 8.0000 | 0.0000 | 0.0021 | 0.0000 | 47.8001 | 19.8000 | 11.9894 | 0.0000 |
| 20.1 | -0.0000 | -0.0000 | 26.6075 | 20.1000 | 8.0000 | 0.0000 | 0.0021 | 0.0000 | 48.1001 | 20.1000 | 11.9894 | 0.0000 |
| 20.4 | -0.0000 | -0.0000 | 26.9075 | 20.4000 | 8.0000 | 0.0000 | 0.0021 | 0.0000 | 48.4001 | 20.4000 | 11.9894 | 0.0000 |
| 20.7 | -0.0000 | -0.0000 | 27.2075 | 20.7000 | 8.0000 | 0.0000 | 0.0022 | 0.0000 | 48.7001 | 20.7000 | 11.9894 | 0.0000 |
| 21 | -0.0000 | -0.0000 | 27.5075 | 21.0000 | 8.0000 | 0.0000 | 0.0022 | 0.0000 | 49.0001 | 21.0000 | 11.9894 | 0.0000 |
| 21.3 | -0.0000 | -0.0000 | 27.8075 | 21.3000 | 8.0000 | 0.0000 | 0.0022 | 0.0000 | 49.3001 | 21.3000 | 11.9894 | 0.0000 |
| 21.6 | -0.0000 | -0.0000 | 28.1075 | 21.6000 | 8.0000 | 0.0000 | 0.0022 | 0.0000 | 49.6001 | 21.6000 | 11.9894 | 0.0000 |
| 21.9 | -0.0000 | -0.0000 | 28.4075 | 21.9000 | 8.0000 | 0.0000 | 0.0022 | 0.0000 | 49.9001 | 21.9000 | 11.9894 | 0.0000 |
| 22.2 | -0.0000 | -0.0000 | 28.7075 | 22.2000 | 8.0000 | 0.0000 | 0.0022 | 0.0000 | 50.2001 | 22.2000 | 11.9894 | 0.0000 |
| 22.5 | -0.0000 | -0.0000 | 29.0075 | 22.5000 | 8.0000 | 0.0000 | 0.0022 | 0.0000 | 50.5001 | 22.5000 | 11.9894 | 0.0000 |
| 22.8 | -0.0000 | -0.0000 | 29.3075 | 22.8000 | 8.0000 | 0.0000 | 0.0023 | 0.0000 | 50.8001 | 22.8000 | 11.9894 | 0.0000 |
| 23.1 | -0.0000 | -0.0000 | 29.6075 | 23.1000 | 8.0000 | 0.0000 | 0.0023 | 0.0000 | 51.1001 | 23.1000 | 11.9894 | 0.0000 |
| 23.4 | -0.0000 | -0.0000 | 29.9075 | 23.4000 | 8.0000 | 0.0000 | 0.0023 | 0.0000 | 51.4001 | 23.4000 | 11.9894 | 0.0000 |
| 23.7 | -0.0000 | -0.0000 | 30.2075 | 23.7000 | 8.0000 | 0.0000 | 0.0023 | 0.0000 | 51.7001 | 23.7000 | 11.9894 | 0.0000 |
| 24 | -0.0000 | -0.0000 | 30.5075 | 24.0000 | 8.0000 | 0.0000 | 0.0023 | 0.0000 | 52.0001 | 24.0000 | 11.9894 | 0.0000 |
| 24.3 | -0.0000 | -0.0000 | 30.8075 | 24.3000 | 8.0000 | 0.0000 | 0.0023 | 0.0000 | 52.3001 | 24.3000 | 11.9894 | 0.0000 |
| 24.6 | -0.0000 | -0.0000 | 31.1075 | 24.6000 | 8.0000 | 0.0000 | 0.0023 | 0.0000 | 52.6001 | 24.6000 | 11.9894 | 0.0000 |
| 24.9 | -0.0000 | -0.0000 | 31.4075 | 24.9000 | 8.0000 | 0.0000 | 0.0023 | 0.0000 | 52.9001 | 24.9000 | 11.9894 | 0.0000 |
| 25.2 | -0.0000 | -0.0000 | 31.7075 | 25.2000 | 8.0000 | 0.0000 | 0.0024 | 0.0000 | 53.2001 | 25.2000 | 11.9894 | 0.0000 |
| 25.5 | -0.0000 | -0.0000 | 32.0075 | 25.5000 | 8.0000 | 0.0000 | 0.0024 | 0.0000 | 53.5001 | 25.5000 | 11.9894 | 0.0000 |
| 25.8 | -0.0000 | -0.0000 | 32.3075 | 25.8000 | 8.0000 | 0.0000 | 0.0024 | 0.0000 | 53.8001 | 25.8000 | 11.9894 | 0.0000 |
| 26.1 | -0.0000 | -0.0000 | 32.6075 | 26.1000 | 8.0000 | 0.0000 | 0.0024 | 0.0000 | 54.1001 | 26.1000 | 11.9894 | 0.0000 |
| 26.4 | -0.0000 | -0.0000 | 32.9075 | 26.4000 | 8.0000 | 0.0000 | 0.0024 | 0.0000 | 54.4001 | 26.4000 | 11.9894 | 0.0000 |
| 26.7 | -0.0000 | -0.0000 | 33.2075 | 26.7000 | 8.0000 | 0.0000 | 0.0024 | 0.0000 | 54.7001 | 26.7000 | 11.9894 | 0.0000 |
| 27 | -0.0000 | -0.0000 | 33.5075 | 27.0000 | 8.0000 | 0.0000 | 0.0024 | 0.0000 | 55.0001 | 27.0000 | 11.9894 | 0.0000 |
| 27.3 | -0.0000 | -0.0000 | 33.8075 | 27.3000 | 8.0000 | 0.0000 | 0.0025 | 0.0000 | 55.3001 | 27.3000 | 11.9894 | 0.0000 |
| 27.6 | -0.0000 | -0.0000 | 34.1075 | 27.6000 | 8.0000 | 0.0000 | 0.0025 | 0.0000 | 55.6001 | 27.6000 | 11.9894 | 0.0000 |
| 27.9 | -0.0000 | -0.0000 | 34.4075 | 27.9000 | 8.0000 | 0.0000 | 0.0025 | 0.0000 | 55.9001 | 27.9000 | 11.9894 | 0.0000 |
| 28.2 | -0.0000 | -0.0000 | 34.7075 | 28.2000 | 8.0000 | 0.0000 | 0.0025 | 0.0000 | 56.2001 | 28.2000 | 11.9894 | 0.0000 |
| 28.5 | -0.0000 | -0.0000 | 35.0075 | 28.5000 | 8.0000 | 0.0000 | 0.0025 | 0.0000 | 56.5001 | 28.5000 | 11.9894 | 0.0000 |
| 28.8 | -0.0000 | -0.0000 | 35.3075 | 28.8000 | 8.0000 | 0.0000 | 0.0025 | 0.0000 | 56.8001 | 28.8000 | 11.9894 | 0.0000 |
| 29.1 | -0.0000 | -0.0000 | 35.6075 | 29.1000 | 8.0000 | 0.0000 | 0.0025 | 0.0000 | 57.1001 | 29.1000 | 11.9894 | 0.0000 |
| 29.4 | -0.0000 | -0.0000 | 35.9075 | 29.4000 | 8.0000 | 0.0000 | 0.0025 | 0.0000 | 57.4001 | 29.4000 | 11.9894 | 0.0000 |
| 29.7 | -0.0000 | -0.0000 | 36.2075 | 29.7000 | 8.0000 | 0.0000 | 0.0026 | 0.0000 | 57.7001 | 29.7000 | 11.9894 | 0.0000 |
Fingerprints, scenario s1 (40, 14, 1)
draft: ae8efa92b854f0bea78b6a7e7af755783471dcda13c561ee90e7d3c0fa485885
accepted: b658c7854dd7cc1f024ede523249e128247a2822c6edf1e435f01a11a20995ff