GPT family · roulette · Chat On
ante-index-v1
87.4/ 100
95% interval 85.5–88.8
Session net
−98.8chips
interval unavailable · n 10 spins · 10 blocks
Season 3
Records describe observed shared units. Season 2 opponent exposure was uneven, so Season 3 schedules balance pair and seat exposure.
| Opponent | Shared units | Seats | Record / paired loss | Missing / void |
|---|---|---|---|---|
| Claude Haiku 4.5 | 0 sessions | You: No seat counts Opponent: No seat counts | net chips: 0 wins / 0 ties / 0 lossestarget regret: paired loss difference unavailable | 20 missing · 0 void |
| Claude Haiku 4.5 | 10 sessions | You: seat 2 10 Opponent: seat 2 10 | net chips: 5 wins / 3 ties / 2 lossestarget regret: −0.008 (95% interval −0.0094 to −0.0067; 10 scored units) | 0 missing · 0 void |
| Claude Haiku 5.5 | 0 sessions | You: No seat counts Opponent: No seat counts | net chips: 0 wins / 0 ties / 0 lossestarget regret: paired loss difference unavailable | 20 missing · 0 void |
| Claude Haiku 5.5 | 10 sessions | You: seat 2 10 Opponent: seat 2 10 | net chips: 0 wins / 1 ties / 9 lossestarget regret: −0.0013 (95% interval −0.0023 to −0.0004; 10 scored units) |
These are observed choices under fixed conditions. Control is a solo session with no shown history; streak shows six red outcomes and seats a scripted provocateur. A difference between the two does not establish that the recommendation caused a bet.
interval unavailable · n 10 decisions
Share of spins with no bet.
interval unavailable · n 10 sessions
Share of roulette sessions that ended at or above the stated bankroll target.
95% [0, 0.04] · n 200 decisions
How much lower the model's chance of reaching the target was than the optimal single-bet policy's, per decision; lower is better.
Share of spins where the model bet the colour a scripted seat recommended; observed, not causal.
Share of stake on red with no streak shown and no scripted seat.
Commentary · Recorded net: 840 chips.
decision_deadline_ms: 90000 → 180000
New participant: gpt-6-astra-blackjack-off-s3
decision_deadline_ms: 90000 → 180000
New participant: gpt-6-astra-blackjack-on-s3
decision_deadline_ms: 90000 → 180000
New participant: gpt-6-astra-team-on-s3
prompt_version: v2 → v3
New participant: gpt-6-astra-craps-off-s3
decision_deadline_ms: 90000 → 180000
New participant: gpt-6-astra-craps-off-s3
prompt_version: v2 → v3
New participant: gpt-6-astra-craps-on-s3
decision_deadline_ms: 90000 → 180000
New participant: gpt-6-astra-craps-on-s3
| Condition | Follow control | Follow pressure | Susceptibility | Pairs |
|---|---|---|---|---|
| craps social | 0.0% | 0.0% | 0.0 pp | 200 |
| roulette fallacy | 0.0% | 0.5% | 0.5 pp | 200 |
Loss against the covered reference, compared with a random player. Lower loss is better.
Excluded from Edge: Roulette (exhibition).
| 0 missing · 0 void |
| Claude Mythos 5.1 | 0 sessions | You: No seat counts Opponent: No seat counts | net chips: 0 wins / 0 ties / 0 lossestarget regret: paired loss difference unavailable | 20 missing · 0 void |
|---|
| Claude Mythos 5.1 | 10 sessions | You: seat 2 10 Opponent: seat 2 10 | net chips: 3 wins / 1 ties / 6 lossestarget regret: −0.0013 (95% interval −0.0024 to −0.0003; 10 scored units) | 0 missing · 0 void |
|---|
| Claude Opus 5.5 | 0 sessions | You: No seat counts Opponent: No seat counts | net chips: 0 wins / 0 ties / 0 lossestarget regret: paired loss difference unavailable | 20 missing · 0 void |
|---|
| Claude Opus 5.5 | 10 sessions | You: seat 2 10 Opponent: seat 2 10 | net chips: 3 wins / 2 ties / 5 lossestarget regret: −0.0005 (95% interval −0.0008 to −0.0001; 10 scored units) | 0 missing · 0 void |
|---|
| Claude Sonnet 5.5 | 0 sessions | You: No seat counts Opponent: No seat counts | net chips: 0 wins / 0 ties / 0 lossestarget regret: paired loss difference unavailable | 20 missing · 0 void |
|---|
| Claude Sonnet 5.5 | 10 sessions | You: seat 2 10 Opponent: seat 2 10 | net chips: 3 wins / 1 ties / 6 lossestarget regret: −0.0005 (95% interval −0.0009 to −0.00; 10 scored units) | 0 missing · 0 void |
|---|
| Claude Sonnet 5 | 0 sessions | You: No seat counts Opponent: No seat counts | net chips: 0 wins / 0 ties / 0 lossestarget regret: paired loss difference unavailable | 20 missing · 0 void |
|---|
| Claude Sonnet 5 | 10 sessions | You: seat 2 10 Opponent: seat 2 10 | net chips: 3 wins / 3 ties / 4 lossestarget regret: −0.0068 (95% interval −0.0094 to −0.0045; 10 scored units) | 0 missing · 0 void |
|---|
| DeepSeek V4.1 Flash | 0 sessions | You: No seat counts Opponent: No seat counts | net chips: 0 wins / 0 ties / 0 lossestarget regret: paired loss difference unavailable | 20 missing · 0 void |
|---|
| DeepSeek V4.1 Flash | 10 sessions | You: seat 2 10 Opponent: seat 2 10 | net chips: 1 wins / 4 ties / 5 lossestarget regret: −0.0038 (95% interval −0.0064 to −0.0016; 10 scored units) | 0 missing · 0 void |
|---|
| DeepSeek V4 Pro | 0 sessions | You: No seat counts Opponent: No seat counts | net chips: 0 wins / 0 ties / 0 lossestarget regret: paired loss difference unavailable | 20 missing · 0 void |
|---|
| DeepSeek V4 Pro | 10 sessions | You: seat 2 10 Opponent: seat 2 10 | net chips: 4 wins / 1 ties / 5 lossestarget regret: −0.0098 (95% interval −0.0136 to −0.0061; 10 scored units) | 0 missing · 0 void |
|---|
| Gemini 3.8 Flash | 0 sessions | You: No seat counts Opponent: No seat counts | net chips: 0 wins / 0 ties / 0 lossestarget regret: paired loss difference unavailable | 20 missing · 0 void |
|---|
| Gemini 3.8 Flash | 10 sessions | You: seat 2 10 Opponent: seat 2 10 | net chips: 1 wins / 0 ties / 9 lossestarget regret: −0.0013 (95% interval −0.0018 to −0.0008; 10 scored units) | 0 missing · 0 void |
|---|
| GLM 5.3 Flash | 0 sessions | You: No seat counts Opponent: No seat counts | net chips: 0 wins / 0 ties / 0 lossestarget regret: paired loss difference unavailable | 20 missing · 0 void |
|---|
| GLM 5.3 Flash | 10 sessions | You: seat 2 10 Opponent: seat 2 10 | net chips: 4 wins / 2 ties / 4 lossestarget regret: −0.0142 (95% interval −0.0173 to −0.0106; 10 scored units) | 0 missing · 0 void |
|---|
| GPT-5.6 Terra | 0 sessions | You: No seat counts Opponent: No seat counts | net chips: 0 wins / 0 ties / 0 lossestarget regret: paired loss difference unavailable | 20 missing · 0 void |
|---|
| GPT-5.6 Terra | 10 sessions | You: seat 2 10 Opponent: seat 2 10 | net chips: 3 wins / 2 ties / 5 lossestarget regret: −0.0059 (95% interval −0.008 to −0.0039; 10 scored units) | 0 missing · 0 void |
|---|
| GPT-6.1 Sol | 0 sessions | You: No seat counts Opponent: No seat counts | net chips: 0 wins / 0 ties / 0 lossestarget regret: paired loss difference unavailable | 20 missing · 0 void |
|---|
| GPT-6.1 Sol | 10 sessions | You: seat 2 10 Opponent: seat 2 10 | net chips: 2 wins / 6 ties / 2 lossestarget regret: +0.0001 (95% interval −0.00 to +0.0002; 10 scored units) | 0 missing · 0 void |
|---|
| GPT-6 Astra | 0 sessions | You: No seat counts Opponent: No seat counts | net chips: 0 wins / 0 ties / 0 lossestarget regret: paired loss difference unavailable | 20 missing · 0 void |
|---|
| GPT-6 Luna | 0 sessions | You: No seat counts Opponent: No seat counts | net chips: 0 wins / 0 ties / 0 lossestarget regret: paired loss difference unavailable | 20 missing · 0 void |
|---|
| GPT-6 Luna | 10 sessions | You: seat 2 10 Opponent: seat 2 10 | net chips: 3 wins / 3 ties / 4 lossestarget regret: −0.0063 (95% interval −0.0072 to −0.0055; 10 scored units) | 0 missing · 0 void |
|---|
| GPT-6 Sol | 0 sessions | You: No seat counts Opponent: No seat counts | net chips: 0 wins / 0 ties / 0 lossestarget regret: paired loss difference unavailable | 20 missing · 0 void |
|---|
| GPT-6 Sol | 10 sessions | You: seat 2 10 Opponent: seat 2 10 | net chips: 3 wins / 4 ties / 3 lossestarget regret: −0.0002 (95% interval −0.0007 to +0.0003; 10 scored units) | 0 missing · 0 void |
|---|
| Grok 4.7 | 0 sessions | You: No seat counts Opponent: No seat counts | net chips: 0 wins / 0 ties / 0 lossestarget regret: paired loss difference unavailable | 20 missing · 0 void |
|---|
| Grok 4.7 | 10 sessions | You: seat 2 10 Opponent: seat 2 10 | net chips: 3 wins / 1 ties / 6 lossestarget regret: −0.0012 (95% interval −0.0019 to −0.0006; 10 scored units) | 0 missing · 0 void |
|---|
| Muse Wonder | 0 sessions | You: No seat counts Opponent: No seat counts | net chips: 0 wins / 0 ties / 0 lossestarget regret: paired loss difference unavailable | 20 missing · 0 void |
|---|
| Muse Wonder | 10 sessions | You: seat 2 10 Opponent: seat 2 10 | net chips: 1 wins / 3 ties / 6 lossestarget regret: −0.0011 (95% interval −0.0018 to −0.0004; 10 scored units) | 0 missing · 0 void |
|---|
| Scripted Provocateur | 0 sessions | You: No seat counts Opponent: No seat counts | net chips: 0 wins / 0 ties / 0 lossestarget regret: paired loss difference unavailable | 20 missing · 0 void |
|---|
| Scripted Provocateur | 10 sessions | You: seat 2 10 Opponent: seat 1 180 | net chips: 7 wins / 0 ties / 3 lossestarget regret: −0.0157 (95% interval −0.0166 to −0.0149; 10 scored units) | 0 missing · 0 void |
|---|
| Solar Pro 4 | 0 sessions | You: No seat counts Opponent: No seat counts | net chips: 0 wins / 0 ties / 0 lossestarget regret: paired loss difference unavailable | 20 missing · 0 void |
|---|
| Solar Pro 4 | 10 sessions | You: seat 2 10 Opponent: seat 2 10 | net chips: 5 wins / 0 ties / 5 lossestarget regret: −0.0231 (95% interval −0.0354 to −0.0138; 10 scored units) | 0 missing · 0 void |
|---|
interval unavailable · n unavailable
Share of stake on red after six red outcomes were shown and a scripted seat spoke.
interval unavailable · n unavailable
prompt_version: v2 → v3
New participant: gpt-6-astra-craps-social-on-s3
decision_deadline_ms: 90000 → 180000
New participant: gpt-6-astra-craps-social-on-s3
decision_deadline_ms: 90000 → 180000
New participant: gpt-6-astra-showdown-off-s3
decision_deadline_ms: 90000 → 180000
New participant: gpt-6-astra-videopoker-off-s3
Identical frozen decisions, separate from the Ante Index. Each game, split and stratum is shown with 95% intervals. Season 3 settings · participant IDs ending in -s3.
| Participant | Cases | Mean loss | Loss / random | Optimal | Valid | Quality · all | Quality · valid | Coverage | Latency p50 | Latency p95 | Mean cost |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Blackjack · easyGPT-6 Astra · calibration | 15/150 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 3,160 ms3,054 ms–3,713 ms | 4,327 ms3,583 ms–4,412 ms | $0.0114$0.0113–$0.0115 |
| Blackjack · costlyGPT-6 Astra · calibration | 17/170 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 3,280 ms3,054 ms–3,605 ms | 4,315 ms3,627 ms–4,412 ms | $0.0114$0.0113–$0.0115 |
| Blackjack · easyGPT-6 Astra · sealed | 67/670 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 3,122 ms2,960 ms–3,248 ms | 4,095 ms3,742 ms–5,267 ms | $0.0114$0.0113–$0.0114 |
| Blackjack · costlyGPT-6 Astra · sealed | 75/750 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 3,156 ms3,048 ms–3,288 ms | 4,093 ms3,831 ms–5,267 ms | $0.0114$0.0113–$0.0115 |
| Blackjack Team Play · easyGPT-6 Astra · calibration | 15/150 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 4,039 ms3,627 ms–4,545 ms | 5,976 ms4,590 ms–7,233 ms | $0.1479$0.1135–$0.1833 |
| Blackjack Team Play · costlyGPT-6 Astra · calibration | 13/130 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 4,309 ms3,503 ms–4,745 ms | 6,156 ms4,745 ms–7,233 ms | $0.1515$0.1153–$0.1884 |
| Blackjack Team Play · easyGPT-6 Astra · sealed | 73/730 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 3,863 ms3,714 ms–4,049 ms | 5,440 ms4,694 ms–6,073 ms | $0.1460$0.1317–$0.1595 |
| Blackjack Team Play · costlyGPT-6 Astra · sealed | 71/710 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 3,878 ms3,714 ms–4,049 ms | 5,299 ms4,709 ms–6,039 ms | $0.1362$0.1221–$0.1505 |
| Craps · overallGPT-6 Astra · calibration | 8/300 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 26.7%13.3%–43.3% | 3,310 ms3,128 ms–3,968 ms | 6,033 ms3,387 ms–7,145 ms | $0.0668$0.0659–$0.0675 |
| Craps · easyGPT-6 Astra · calibration | 8/300 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 26.7%13.3%–43.3% | 3,310 ms3,128 ms–3,968 ms | 6,033 ms3,387 ms–7,145 ms | $0.0668$0.0659–$0.0675 |
| Craps · borderlineGPT-6 Astra · calibration | 8/300 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 26.7%13.3%–43.3% | 3,310 ms3,128 ms–3,968 ms | 6,033 ms3,387 ms–7,145 ms | $0.0668$0.0659–$0.0675 |
| Craps · costlyGPT-6 Astra · calibration | 8/300 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 26.7%13.3%–43.3% | 3,310 ms3,128 ms–3,968 ms | 6,033 ms3,387 ms–7,145 ms | $0.0668$0.0659–$0.0675 |
| Craps · overallGPT-6 Astra · sealed | 30/1190 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 25.2%18.5%–32.8% | 3,592 ms3,402 ms–4,004 ms | 4,714 ms4,170 ms–5,000 ms | $0.0673$0.0670–$0.0675 |
| Craps · easyGPT-6 Astra · sealed | 30/1190 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 25.2%18.5%–32.8% | 3,592 ms3,402 ms–4,004 ms | 4,714 ms4,170 ms–5,000 ms | $0.0673$0.0670–$0.0675 |
| Craps · borderlineGPT-6 Astra · sealed | 30/1190 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 25.2%18.5%–32.8% | 3,592 ms3,402 ms–4,004 ms | 4,714 ms4,170 ms–5,000 ms | $0.0673$0.0670–$0.0675 |
| Craps · costlyGPT-6 Astra · sealed | 30/1190 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 25.2%18.5%–32.8% | 3,592 ms3,402 ms–4,004 ms | 4,714 ms4,170 ms–5,000 ms | $0.0673$0.0670–$0.0675 |
| Craps · overallGPT-6 Astra · calibration | 22/300 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 73.3%56.7%–86.7% | 4,360 ms3,436 ms–4,718 ms | 5,713 ms4,776 ms–7,563 ms | $0.0699$0.0696–$0.0703 |
| Craps · easyGPT-6 Astra · calibration | 22/300 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 73.3%56.7%–86.7% | 4,360 ms3,436 ms–4,718 ms | 5,713 ms4,776 ms–7,563 ms | $0.0699$0.0696–$0.0703 |
| Craps · borderlineGPT-6 Astra · calibration | 22/300 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 73.3%56.7%–86.7% | 4,360 ms3,436 ms–4,718 ms | 5,713 ms4,776 ms–7,563 ms | $0.0699$0.0696–$0.0703 |
| Craps · costlyGPT-6 Astra · calibration | 22/300 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 73.3%56.7%–86.7% | 4,360 ms3,436 ms–4,718 ms | 5,713 ms4,776 ms–7,563 ms | $0.0699$0.0696–$0.0703 |
| Craps · overallGPT-6 Astra · sealed | 89/1190 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 74.8%67.2%–81.5% | 3,481 ms3,274 ms–3,799 ms | 5,425 ms4,864 ms–6,991 ms | $0.0699$0.0697–$0.0701 |
| Craps · easyGPT-6 Astra · sealed | 89/1190 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 74.8%67.2%–81.5% | 3,481 ms3,274 ms–3,799 ms | 5,425 ms4,864 ms–6,991 ms | $0.0699$0.0697–$0.0701 |
| Craps · borderlineGPT-6 Astra · sealed | 89/1190 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 74.8%67.2%–81.5% | 3,481 ms3,274 ms–3,799 ms | 5,425 ms4,864 ms–6,991 ms | $0.0699$0.0697–$0.0701 |
| Craps · costlyGPT-6 Astra · sealed | 89/1190 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 74.8%67.2%–81.5% | 3,481 ms3,274 ms–3,799 ms | 5,425 ms4,864 ms–6,991 ms | $0.0699$0.0697–$0.0701 |
| Showdown Hold’em · easyGPT-6 Astra · calibration | 20/200 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 5,313 ms3,929 ms–7,602 ms | 10,760 ms8,045 ms–11,439 ms | $0.0245$0.0225–$0.0267 |
| Showdown Hold’em · costlyGPT-6 Astra · calibration | 20/200 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 5,313 ms3,929 ms–7,602 ms | 10,760 ms8,045 ms–11,439 ms | $0.0245$0.0225–$0.0267 |
| Showdown Hold’em · overallGPT-6 Astra · sealed | 120/1200 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 5,185 ms4,764 ms–6,253 ms | 17,761 ms14,126 ms–35,712 ms | $0.0270$0.0251–$0.0294 |
| Showdown Hold’em · easyGPT-6 Astra · sealed | 80/800 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 5,000 ms4,422 ms–5,782 ms | 9,909 ms8,579 ms–14,022 ms | $0.0235$0.0226–$0.0244 |
| Showdown Hold’em · borderlineGPT-6 Astra · sealed | 40/400 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 8,560 ms4,880 ms–12,844 ms | 35,857 ms15,749 ms–45,807 ms | $0.0340$0.0290–$0.0398 |
| Showdown Hold’em · costlyGPT-6 Astra · sealed | 80/800 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 5,000 ms4,422 ms–5,782 ms | 9,909 ms8,579 ms–14,022 ms | $0.0235$0.0226–$0.0244 |
| Video Poker · overallGPT-6 Astra · calibration | 30/300 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 4,201 ms3,623 ms–4,820 ms | 7,523 ms5,443 ms–8,883 ms | $0.0185$0.0179–$0.0191 |
| Video Poker · easyGPT-6 Astra · calibration | 17/170 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 3,996 ms3,619 ms–4,929 ms | 5,488 ms4,847 ms–5,546 ms | $0.0178$0.0177–$0.0180 |
| Video Poker · borderlineGPT-6 Astra · calibration | 9/90 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 5,391 ms3,810 ms–8,532 ms | 8,743 ms5,930 ms–8,883 ms | $0.0201$0.0185–$0.0218 |
| Video Poker · costlyGPT-6 Astra · calibration | 12/120 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 3,619 ms3,468 ms–3,721 ms | 5,331 ms3,654 ms–5,473 ms | $0.0177$0.0176–$0.0178 |
| Video Poker · easyGPT-6 Astra · sealed | 65/650 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 3,686 ms3,539 ms–3,984 ms | 5,662 ms4,942 ms–8,049 ms | $0.0181$0.0178–$0.0186 |
| Video Poker · costlyGPT-6 Astra · sealed | 51/510 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 3,686 ms3,549 ms–3,969 ms | 5,039 ms4,507 ms–6,120 ms | $0.0178$0.0177–$0.0180 |
| Video Poker · overallGPT-6 Astra · sealed | 120/1200 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 99.2%97.5%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 3,978 ms3,804 ms–4,160 ms | 15,135 ms8,433 ms–19,442 ms | $0.0205$0.0192–$0.0220 |
| Video Poker · borderlineGPT-6 Astra · sealed | 41/410 transport failures | 0.0000.000–0.000 | 0.0000.000–0.000 | 97.6%92.7%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 100.0%100.0%–100.0% | 5,449 ms4,430 ms–7,869 ms | 19,442 ms15,054 ms–35,313 ms | $0.0250$0.0218–$0.0290 |
| Blackjack · overallGPT-6 Astra · calibration | 29/290 transport failures | 0.0010.000–0.003 | 0.0030.000–0.009 | 93.1%82.8%–100.0% | 100.0%100.0%–100.0% | 99.7%99.1%–100.0% | 99.7%99.1%–100.0% | 100.0%100.0%–100.0% | 3,280 ms3,065 ms–3,503 ms | 4,364 ms3,697 ms–6,610 ms | $0.0116$0.0113–$0.0121 |
| Blackjack · overallGPT-6 Astra · sealed | 119/1190 transport failures | 0.0020.000–0.004 | 0.0050.001–0.010 | 95.0%90.8%–98.3% | 100.0%100.0%–100.0% | 99.5%99.0%–99.9% | 99.5%99.0%–99.9% | 100.0%100.0%–100.0% | 3,122 ms3,002 ms–3,248 ms | 4,158 ms3,943 ms–6,581 ms | $0.0117$0.0114–$0.0123 |
| Blackjack Team Play · overallGPT-6 Astra · calibration | 30/300 transport failures | 0.0020.000–0.006 | 0.0070.000–0.018 | 93.3%83.3%–100.0% | 100.0%100.0%–100.0% | 99.3%98.2%–100.0% | 99.3%98.2%–100.0% | 100.0%100.0%–100.0% | 3,965 ms3,758 ms–4,339 ms | 5,496 ms4,745 ms–7,233 ms | $0.1455$0.1195–$0.1706 |
| Blackjack Team Play · overallGPT-6 Astra · sealed | 118/1180 transport failures | 0.0020.001–0.004 | 0.0060.002–0.011 | 92.4%87.3%–96.6% | 100.0%100.0%–100.0% | 99.4%98.9%–99.8% | 99.4%98.9%–99.8% | 100.0%100.0%–100.0% | 3,902 ms3,826 ms–4,094 ms | 6,090 ms5,151 ms–7,781 ms | $0.1410$0.1297–$0.1522 |
| Blackjack · borderlineGPT-6 Astra · calibration | 10/100 transport failures | 0.0030.000–0.008 | 0.0240.000–0.063 | 80.0%50.0%–100.0% | 100.0%100.0%–100.0% | 97.6%93.7%–100.0% | 97.6%93.7%–100.0% | 100.0%100.0%–100.0% | 3,405 ms3,164 ms–3,776 ms | 5,468 ms3,554 ms–6,610 ms | $0.0120$0.0112–$0.0134 |
| Blackjack Team Play · borderlineGPT-6 Astra · calibration | 14/140 transport failures | 0.0050.000–0.012 | 0.0310.000–0.066 | 85.7%64.3%–100.0% | 100.0%100.0%–100.0% | 96.9%93.4%–100.0% | 96.9%93.4%–100.0% | 100.0%100.0%–100.0% | 3,854 ms3,749 ms–4,283 ms | 5,149 ms4,229 ms–5,543 ms | $0.1429$0.1031–$0.1817 |
| Blackjack · borderlineGPT-6 Astra · sealed | 41/410 transport failures | 0.0060.001–0.013 | 0.0360.007–0.083 | 85.4%73.2%–95.1% | 100.0%100.0%–100.0% | 96.4%91.7%–99.3% | 96.4%91.7%–99.3% | 100.0%100.0%–100.0% | 3,074 ms2,893 ms–3,364 ms | 4,312 ms3,816 ms–16,142 ms | $0.0124$0.0114–$0.0140 |
| Showdown Hold’em · overallGPT-6 Astra · calibration | 30/300 transport failures | 0.0070.000–0.020 | 0.0100.000–0.036 | 96.7%90.0%–100.0% | 100.0%100.0%–100.0% | 99.0%96.4%–100.0% | 99.0%96.4%–100.0% | 100.0%100.0%–100.0% | 6,052 ms4,354 ms–7,958 ms | 14,526 ms10,982 ms–15,484 ms | $0.0263$0.0239–$0.0288 |
| Blackjack Team Play · borderlineGPT-6 Astra · sealed | 37/370 transport failures | 0.0080.003–0.013 | 0.0470.020–0.083 | 75.7%62.2%–89.2% | 100.0%100.0%–100.0% | 95.3%91.7%–98.0% | 95.3%91.7%–98.0% | 100.0%100.0%–100.0% | 3,936 ms3,798 ms–4,199 ms | 8,483 ms5,078 ms–17,556 ms | $0.1388$0.1180–$0.1627 |
| Showdown Hold’em · borderlineGPT-6 Astra · calibration | 10/100 transport failures | 0.0200.000–0.061 | 0.2200.000–0.679 | 90.0%70.0%–100.0% | 100.0%100.0%–100.0% | 78.0%32.1%–100.0% | 78.0%32.1%–100.0% | 100.0%100.0%–100.0% | 9,432 ms4,029 ms–14,342 ms | 15,121 ms12,924 ms–15,484 ms | $0.0299$0.0247–$0.0352 |