premise
string
hypothesis
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label
int64
| Layer | Filter/Stride | #Channel | #Filter | | --- | --- | --- | --- | | Conv11 | 3×3/1 | 1 | 32 | | Conv12 | 3×3/1 | 32 | 64 | | MaxPool | 2×2/2 | 64 | – | | Conv21 | 3×3/1 | 64 | 64 | | Conv22 | 3×3/1 | 64 | 128 | | MaxPool | 2×2/2 | 128 | – | | Conv31 | 3×3/1 | 128 | 96 | | Conv32 | 3×3/1 | 96 | 192 | | MaxPool | 2×2/2 | 192 | – | | Conv41 | 3×3/1 | 192 | 128 | | Conv42 | 3×3/1 | 128 | 256 | | MaxPool | 2×2/2 | 256 | – | | Conv51 | 3×3/1 | 256 | 160 | | Conv52 | 3×3/1 | 160 | 320 | | AvgPool | 6×6/1 | 320 | – |
| Dropout1-0.3 | – | – | – | | --- | --- | --- | --- | | FC | 1×320/1 | 320 | 100 |
1
| Layer | Filter/Stride | #Channel | #Filter | | --- | --- | --- | --- | | Conv11 | 3×3/1 | 1 | 32 | | Conv12 | 3×3/1 | 32 | 64 | | MaxPool | 2×2/2 | 64 | – | | Conv21 | 3×3/1 | 64 | 64 | | Conv22 | 3×3/1 | 64 | 128 | | MaxPool | 2×2/2 | 128 | – | | Conv31 | 3×3/1 | 128 | 96 | | Conv32 | 3×3/1 | 96 | 192 | | MaxPool | 2×2/2 | 192 | – | | Conv41 | 3×3/1 | 192 | 128 | | Conv42 | 3×3/1 | 128 | 256 | | MaxPool | 2×2/2 | 256 | – | | Conv51 | 3×3/1 | 256 | 160 | | Conv52 | 3×3/1 | 160 | 320 | | AvgPool | 6×6/1 | 320 | – |
| Layer | Input | FilterSize | Stride | NumberofFilters | Activation | Output | | --- | --- | --- | --- | --- | --- | --- | | Conv1 | 240*240 | 3*3 | 1 | 32 | ReLU | 240*240*32 | | Conv2 | 240*240*32 | 3*3 | 1 | 32 | ReLU | 240*240*32 | | MaxPooling1 | 240*240*32 | N/A | 2 | N/A | N/A | 120*120*32 | | Conv3 | 120*120*32 | 3*3 | 1 | 64 | ReLU | 120*120*64 | | Conv4 | 120*120*64 | 3*3 | 1 | 64 | ReLU | 120*120*64 | | MaxPooling2 | 120*120*64 | N/A | 2 | N/A | N/A | 60*60*64 | | Conv5 | 60*60*64 | 3*3 | 1 | 128 | ReLU | 60*60*128 | | Conv6 | 60*60*128 | 3*3 | 1 | 128 | ReLU | 60*60*128 | | Deconv1 | 60*60*128 | 3*3 | 1 | 64 | ReLU | 120*120*64 | | Conv7 | 120*120*(64+64) | 3*3 | 1 | 64 | ReLU | 120*120*64 | | Conv8 | 120*120*64 | 3*3 | 1 | 64 | ReLU | 120*120*64 | | Deconv2 | 120*120*64 | 3*3 | 1 | 32 | ReLU | 240*240*32 | | Conv9 | 240*240*(32+32) | 3*3 | 1 | 32 | ReLU | 240*240*32 | | Conv10 | 240*240*32 | 3*3 | 1 | 32 | ReLU | 240*240*32 | | Conv11 | 240*240*32 | 3*3 | 1 | 4 | Linear | 240*240*4 | | Softmax | 240*240*4 | N/A | N/A | N/A | N/A | 240*240 |
0
| Layer | Filter/Stride | #Channel | #Filter | | --- | --- | --- | --- | | Conv11 | 3×3/1 | 1 | 32 | | Conv12 | 3×3/1 | 32 | 64 | | MaxPool | 2×2/2 | 64 | – | | Conv21 | 3×3/1 | 64 | 64 | | Conv22 | 3×3/1 | 64 | 128 |
| MaxPool | 2×2/2 | 128 | – | | --- | --- | --- | --- | | Conv31 | 3×3/1 | 128 | 96 | | Conv32 | 3×3/1 | 96 | 192 | | MaxPool | 2×2/2 | 192 | – | | Conv41 | 3×3/1 | 192 | 128 | | Conv42 | 3×3/1 | 128 | 256 | | MaxPool | 2×2/2 | 256 | – | | Conv51 | 3×3/1 | 256 | 160 | | Conv52 | 3×3/1 | 160 | 320 | | AvgPool | 6×6/1 | 320 | – | | Dropout1-0.3 | – | – | – | | FC | 1×320/1 | 320 | 100 |
1
| Layer | Filter/Stride | #Channel | #Filter | | --- | --- | --- | --- | | Conv11 | 3×3/1 | 1 | 32 | | Conv12 | 3×3/1 | 32 | 64 | | MaxPool | 2×2/2 | 64 | – | | Conv21 | 3×3/1 | 64 | 64 | | Conv22 | 3×3/1 | 64 | 128 |
| Conv4 | 120*120*64 | 3*3 | 1 | 64 | ReLU | 120*120*64 | | --- | --- | --- | --- | --- | --- | --- | | MaxPooling2 | 120*120*64 | N/A | 2 | N/A | N/A | 60*60*64 | | Conv5 | 60*60*64 | 3*3 | 1 | 128 | ReLU | 60*60*128 | | Conv6 | 60*60*128 | 3*3 | 1 | 128 | ReLU | 60*60*128 | | Deconv1 | 60*60*128 | 3*3 | 1 | 64 | ReLU | 120*120*64 | | Conv7 | 120*120*(64+64) | 3*3 | 1 | 64 | ReLU | 120*120*64 | | Conv8 | 120*120*64 | 3*3 | 1 | 64 | ReLU | 120*120*64 | | Deconv2 | 120*120*64 | 3*3 | 1 | 32 | ReLU | 240*240*32 | | Conv9 | 240*240*(32+32) | 3*3 | 1 | 32 | ReLU | 240*240*32 | | Conv10 | 240*240*32 | 3*3 | 1 | 32 | ReLU | 240*240*32 | | Conv11 | 240*240*32 | 3*3 | 1 | 4 | Linear | 240*240*4 | | Softmax | 240*240*4 | N/A | N/A | N/A | N/A | 240*240 |
0
| Ssrc | Stgt | | | | --- | --- | --- | --- | | OS | EP | JRC | | | OS | 33.1/30.5 | 26.2/27.4 | 24.6/26.8 |
| EP | 35.4/35.9 | 38.6/37.4 | 37.7/37.0 | | --- | --- | --- | --- | | JRC | 52.6/42.9 | 55.4/44.2 | 58.9/45.9 |
1
| Ssrc | Stgt | | | | --- | --- | --- | --- | | OS | EP | JRC | | | OS | 33.1/30.5 | 26.2/27.4 | 24.6/26.8 |
| Ssrc | Stgt | | | | --- | --- | --- | --- | | OS | EP | JRC | | | OS | 96.4/97.4 | 8.1/24.3 | 3.4/5.5 | | EP | 4.4/14.0 | 96.4/96.1 | 5.4/8.5 | | JRC | 1.9/2.8 | 6.9/12.8 | 96.5/96.8 |
0
| Ssrc | Stgt | | | --- | --- | --- | | OS | EP | JRC |
| OS | 33.1/30.5 | 26.2/27.4 | 24.6/26.8 | | --- | --- | --- | --- | | EP | 35.4/35.9 | 38.6/37.4 | 37.7/37.0 | | JRC | 52.6/42.9 | 55.4/44.2 | 58.9/45.9 |
1
| Ssrc | Stgt | | | --- | --- | --- | | OS | EP | JRC |
| EP | 4.4/14.0 | 96.4/96.1 | 5.4/8.5 | | --- | --- | --- | --- | | JRC | 1.9/2.8 | 6.9/12.8 | 96.5/96.8 |
0
| Net | ISPA | | --- | --- | | A<br>B | 143.6<br>124.4 | | A<br>B | 154.6<br>165.5 |
| A<br>B | 165.4<br>197.7 | | --- | --- | | A<br>B | 186.7<br>205.1 |
1
| Net | ISPA | | --- | --- | | A<br>B | 143.6<br>124.4 | | A<br>B | 154.6<br>165.5 |
| Net | ISPA | | --- | --- | | A<br>B | 112.1<br>92.1 | | A<br>B | 123.3<br>133.3 | | A<br>B | 144.8<br>156.5 | | A<br>B | 81.8<br>99.5 | | A<br>B | 96.0<br>105.3 | | A<br>B | 105.5<br>106.7 |
0
| Net | ISPA | | --- | --- | | A<br>B | 143.6<br>124.4 |
| A<br>B | 154.6<br>165.5 | | --- | --- | | A<br>B | 165.4<br>197.7 | | A<br>B | 186.7<br>205.1 |
1
| Net | ISPA | | --- | --- | | A<br>B | 143.6<br>124.4 |
| A<br>B | 81.8<br>99.5 | | --- | --- | | A<br>B | 96.0<br>105.3 | | A<br>B | 105.5<br>106.7 |
0
| IDNetworkstructureAveragePERmin-maxPERparamsops | | --- | | 1DNN2000+2x100022.0221.86-22.116.9M6.9M | | 2DNN2000+4x100021.8721.68-21.988.9M8.9M | | 3CNNLWS+2x100020.1719.92-20.415.4M10.7M | | 4CNNFWS+2x100020.3120.16-20.588.5M13.6M |
| 5CNNFWS+FWS+2x100020.2320.11-20.294.5M11.7M | | --- | | 6CNNFWS+LWS+2x100020.3619.91-20.614.1M7.5M |
1
| IDNetworkstructureAveragePERmin-maxPERparamsops | | --- | | 1DNN2000+2x100022.0221.86-22.116.9M6.9M | | 2DNN2000+4x100021.8721.68-21.988.9M8.9M | | 3CNNLWS+2x100020.1719.92-20.415.4M10.7M | | 4CNNFWS+2x100020.3120.16-20.588.5M13.6M |
| CIFAR-10 | Float | Binary | Ternary | | | | --- | --- | --- | --- | --- | --- | | BWN | Ours | TWN | Ours | | | | VGG-11 | 91.93 | 88.70 | 89.28 | 90.48 | 91.01 | | VGG-16 | 93.59 | 91.60 | 91.98 | 92.75 | 93.20 | | ResNet-20 | 92.68 | 87.44 | 87.82 | 88.65 | 90.07 | | ResNet-32 | 93.40 | 89.49 | 90.65 | 90.94 | 92.04 | | ResNet-18 | 95.49 | 92.72 | 94.19 | 93.55 | 94.98 | | ResNet-34 | 95.70 | 93.25 | 94.66 | 94.05 | 95.07 |
0
| IDNetworkstructureAveragePERmin-maxPERparamsops | | --- | | 1DNN2000+2x100022.0221.86-22.116.9M6.9M | | 2DNN2000+4x100021.8721.68-21.988.9M8.9M | | 3CNNLWS+2x100020.1719.92-20.415.4M10.7M |
| 4CNNFWS+2x100020.3120.16-20.588.5M13.6M | | --- | | 5CNNFWS+FWS+2x100020.2320.11-20.294.5M11.7M | | 6CNNFWS+LWS+2x100020.3619.91-20.614.1M7.5M |
1
| IDNetworkstructureAveragePERmin-maxPERparamsops | | --- | | 1DNN2000+2x100022.0221.86-22.116.9M6.9M | | 2DNN2000+4x100021.8721.68-21.988.9M8.9M | | 3CNNLWS+2x100020.1719.92-20.415.4M10.7M |
| VGG-11 | 91.93 | 88.70 | 89.28 | 90.48 | 91.01 | | --- | --- | --- | --- | --- | --- | | VGG-16 | 93.59 | 91.60 | 91.98 | 92.75 | 93.20 | | ResNet-20 | 92.68 | 87.44 | 87.82 | 88.65 | 90.07 | | ResNet-32 | 93.40 | 89.49 | 90.65 | 90.94 | 92.04 | | ResNet-18 | 95.49 | 92.72 | 94.19 | 93.55 | 94.98 | | ResNet-34 | 95.70 | 93.25 | 94.66 | 94.05 | 95.07 |
0
| Test<br>Case | HAMPI | Kaluza | SUSHI | CVC4 | Rex | XData<br>solver | | --- | --- | --- | --- | --- | --- | --- | | S1 | 150 | 706 | 22 | 6 | 124 | 4 |
| S2 | 136 | 706 | 34 | 6 | 140 | 4 | | --- | --- | --- | --- | --- | --- | --- | | S3 | 139 | 708 | 39 | 9 | 140 | 4 | | S4 | - | 2444 | 175 | 17 | 168 | 15 | | S5 | - | 671 | 160 | 19 | 156 | 14 | | S6 | 137 | 380 | 54 | * | 256 | 4 | | S7 | - | 653 | - | 20 | - | 11 | | S8 | - | - | - | - | - | 23 | | S9 | - | - | - | - | - | 11 | | S10 | - | - | - | - | - | 30 |
1
| Test<br>Case | HAMPI | Kaluza | SUSHI | CVC4 | Rex | XData<br>solver | | --- | --- | --- | --- | --- | --- | --- | | S1 | 150 | 706 | 22 | 6 | 124 | 4 |
| | BL | SL | SR | BH | SH | Ins | | --- | --- | --- | --- | --- | --- | --- | | BL | 17 | 5 | 1 | - | - | 10 | | SL | 4 | 24 | 2 | - | 1 | 19 | | SR | 3 | - | 29 | - | 1 | 44 | | BH | - | 1 | - | 20 | 1 | 19 | | SH | 1 | - | - | 1 | 23 | 32 | | Del | - | 1 | - | - | - | - | | Total | 25 | 31 | 32 | 21 | 26 | 124 |
0
| Test<br>Case | HAMPI | Kaluza | SUSHI | CVC4 | Rex | XData<br>solver | | --- | --- | --- | --- | --- | --- | --- | | S1 | 150 | 706 | 22 | 6 | 124 | 4 | | S2 | 136 | 706 | 34 | 6 | 140 | 4 | | S3 | 139 | 708 | 39 | 9 | 140 | 4 | | S4 | - | 2444 | 175 | 17 | 168 | 15 | | S5 | - | 671 | 160 | 19 | 156 | 14 | | S6 | 137 | 380 | 54 | * | 256 | 4 | | S7 | - | 653 | - | 20 | - | 11 | | S8 | - | - | - | - | - | 23 |
| S9 | - | - | - | - | - | 11 | | --- | --- | --- | --- | --- | --- | --- | | S10 | - | - | - | - | - | 30 |
1
| Test<br>Case | HAMPI | Kaluza | SUSHI | CVC4 | Rex | XData<br>solver | | --- | --- | --- | --- | --- | --- | --- | | S1 | 150 | 706 | 22 | 6 | 124 | 4 | | S2 | 136 | 706 | 34 | 6 | 140 | 4 | | S3 | 139 | 708 | 39 | 9 | 140 | 4 | | S4 | - | 2444 | 175 | 17 | 168 | 15 | | S5 | - | 671 | 160 | 19 | 156 | 14 | | S6 | 137 | 380 | 54 | * | 256 | 4 | | S7 | - | 653 | - | 20 | - | 11 | | S8 | - | - | - | - | - | 23 |
| Del | - | 1 | - | - | - | - | | --- | --- | --- | --- | --- | --- | --- | | Total | 25 | 31 | 32 | 21 | 26 | 124 |
0
| 47.0 | 41.1 | 22.0 | 32.9 | 17.4 | 16.2 | 32.1 | 39.1 | 14.9 | | --- | --- | --- | --- | --- | --- | --- | --- | --- | | 40.8 | 36.3 | 38.9 | 49.6 | 547.0 | 17.5 | 29.8 | 39.8 | 14.5 |
| 32.0 | 30.0 | 21.7 | 31.9 | 19.5 | 14.8 | 24.1 | 29.6 | 13.1 | | --- | --- | --- | --- | --- | --- | --- | --- | --- | | 30.3 | 28.6 | 28.2 | 38.7 | 109.4 | 13.8 | 20.9 | 30.2 | 12.2 | | 43.5 | 38.6 | 35.9 | 46.7 | 49.3 | 16.2 | 35.3 | 48.7 | 14.5 |
1
| 47.0 | 41.1 | 22.0 | 32.9 | 17.4 | 16.2 | 32.1 | 39.1 | 14.9 | | --- | --- | --- | --- | --- | --- | --- | --- | --- | | 40.8 | 36.3 | 38.9 | 49.6 | 547.0 | 17.5 | 29.8 | 39.8 | 14.5 |
| 0 | 10 | 20 | 30 | 40 | 50 | 60 | | --- | --- | --- | --- | --- | --- | --- | | 9.3 | 7.6 | 5.9 | 4.3 | 3.0 | 2.0 | 1.2 | | 38.2 | 31.1 | 24.4 | 18.3 | 13.1 | 8.8 | 5.5 | | 86.7 | 70.4 | 55.2 | 41.4 | 29.7 | 19.9 | 12.4 | | 155.4 | 125.9 | 98.9 | 74.4 | 53.5 | 36.1 | 22.5 | | 326.0 | 264.5 | 207.6 | 156.2 | 111.9 | 75.7 | 47.1 |
0
| 47.0 | 41.1 | 22.0 | 32.9 | 17.4 | 16.2 | 32.1 | 39.1 | 14.9 | | --- | --- | --- | --- | --- | --- | --- | --- | --- | | 40.8 | 36.3 | 38.9 | 49.6 | 547.0 | 17.5 | 29.8 | 39.8 | 14.5 |
| 32.0 | 30.0 | 21.7 | 31.9 | 19.5 | 14.8 | 24.1 | 29.6 | 13.1 | | --- | --- | --- | --- | --- | --- | --- | --- | --- | | 30.3 | 28.6 | 28.2 | 38.7 | 109.4 | 13.8 | 20.9 | 30.2 | 12.2 | | 43.5 | 38.6 | 35.9 | 46.7 | 49.3 | 16.2 | 35.3 | 48.7 | 14.5 |
1
| 47.0 | 41.1 | 22.0 | 32.9 | 17.4 | 16.2 | 32.1 | 39.1 | 14.9 | | --- | --- | --- | --- | --- | --- | --- | --- | --- | | 40.8 | 36.3 | 38.9 | 49.6 | 547.0 | 17.5 | 29.8 | 39.8 | 14.5 |
| 155.4 | 125.9 | 98.9 | 74.4 | 53.5 | 36.1 | 22.5 | | --- | --- | --- | --- | --- | --- | --- | | 326.0 | 264.5 | 207.6 | 156.2 | 111.9 | 75.7 | 47.1 |
0
| | aeroplane | bicycle | bird | boat | bottle | bus | car | | --- | --- | --- | --- | --- | --- | --- | --- | | RGB | 69.1 | 33.0 | 72.8 | 53.9 | 70.7 | 76.8 | 72.1 |
| RGB+dist | 75.7 | 34.1 | 75.8 | 59.0 | 71.7 | 75.8 | 76.2 | | --- | --- | --- | --- | --- | --- | --- | --- | | RGB+coord | 75.7 | 32.9 | 76.2 | 55.1 | 70.1 | 75.2 | 73.9 | | RGB+dist+coord | 77.6 | 33.8 | 77.7 | 54.9 | 72.7 | 75.1 | 74.5 |
1
| | aeroplane | bicycle | bird | boat | bottle | bus | car | | --- | --- | --- | --- | --- | --- | --- | --- | | RGB | 69.1 | 33.0 | 72.8 | 53.9 | 70.7 | 76.8 | 72.1 |
| | cat | chair | cow | diningtable | dog | horse | motorbike | | --- | --- | --- | --- | --- | --- | --- | --- | | RGB | 75.0 | 24.5 | 62.0 | 35.0 | 66.1 | 58.8 | 75.6 | | RGB+dist | 78.1 | 24.5 | 69.2 | 36.6 | 69.8 | 65.2 | 77.9 | | RGB+coord | 77.0 | 26.6 | 64.0 | 35.9 | 67.5 | 61.6 | 75.7 | | RGB+dist+coord | 78.9 | 23.8 | 64.4 | 36.8 | 70.0 | 63.4 | 75.2 |
0
| | aeroplane | bicycle | bird | boat | bottle | bus | car | | --- | --- | --- | --- | --- | --- | --- | --- | | RGB | 69.1 | 33.0 | 72.8 | 53.9 | 70.7 | 76.8 | 72.1 | | RGB+dist | 75.7 | 34.1 | 75.8 | 59.0 | 71.7 | 75.8 | 76.2 |
| RGB+coord | 75.7 | 32.9 | 76.2 | 55.1 | 70.1 | 75.2 | 73.9 | | --- | --- | --- | --- | --- | --- | --- | --- | | RGB+dist+coord | 77.6 | 33.8 | 77.7 | 54.9 | 72.7 | 75.1 | 74.5 |
1
| | aeroplane | bicycle | bird | boat | bottle | bus | car | | --- | --- | --- | --- | --- | --- | --- | --- | | RGB | 69.1 | 33.0 | 72.8 | 53.9 | 70.7 | 76.8 | 72.1 | | RGB+dist | 75.7 | 34.1 | 75.8 | 59.0 | 71.7 | 75.8 | 76.2 |
| RGB+dist | 78.1 | 24.5 | 69.2 | 36.6 | 69.8 | 65.2 | 77.9 | | --- | --- | --- | --- | --- | --- | --- | --- | | RGB+coord | 77.0 | 26.6 | 64.0 | 35.9 | 67.5 | 61.6 | 75.7 | | RGB+dist+coord | 78.9 | 23.8 | 64.4 | 36.8 | 70.0 | 63.4 | 75.2 |
0
| TotalnumberofJobs | 6064 | | --- | --- | | Traceduration(s) | 35032 | | Averagenumberoftasksperjob | 26.31 |
| Minimumtaskduration(s) | 12.8 | | --- | --- | | Maximumtaskduration(s) | 22919.3 | | Averagetaskduration(s) | 1179.7 |
1
| TotalnumberofJobs | 6064 | | --- | --- | | Traceduration(s) | 35032 | | Averagenumberoftasksperjob | 26.31 |
| NumberofWorker | Time(minutes) | Scalability | | --- | --- | --- | | 1 | 4841 | 1 | | 2 | 3039 | 1.59 | | 4 | 1644 | 2.84 | | 8 | 850 | 5.70 | | 16 | 430 | 11.26 | | 32 | 333 | 14.56 |
0
| TotalnumberofJobs | 6064 | | --- | --- | | Traceduration(s) | 35032 |
| Averagenumberoftasksperjob | 26.31 | | --- | --- | | Minimumtaskduration(s) | 12.8 | | Maximumtaskduration(s) | 22919.3 | | Averagetaskduration(s) | 1179.7 |
1
| TotalnumberofJobs | 6064 | | --- | --- | | Traceduration(s) | 35032 |
| 4 | 1644 | 2.84 | | --- | --- | --- | | 8 | 850 | 5.70 | | 16 | 430 | 11.26 | | 32 | 333 | 14.56 |
0
| K | Ld | Lr | Lf | Lc | Ls | | --- | --- | --- | --- | --- | --- | | 3 | 6 | − | − | 7 | 7 | | 4 | 18 | − | − | 20 | 20 | | 5 | 49 | 53 | − | 53 | 53 |
| 6 | 114 | 119 | 126 | 130 | 130 | | --- | --- | --- | --- | --- | --- | | 7 | 250 | 257 | 297 | 306 | 307 | | 8 | 534 | 543 | 663 | 705 | 706 | | 9 | 1122 | 1136 | 1473 | 1591 | 1592 | | 10 | 2333 | 2356 | 3202 | 3543 | 3543 |
1
| K | Ld | Lr | Lf | Lc | Ls | | --- | --- | --- | --- | --- | --- | | 3 | 6 | − | − | 7 | 7 | | 4 | 18 | − | − | 20 | 20 | | 5 | 49 | 53 | − | 53 | 53 |
| 761 | 12 | | --- | --- | | 899 | 35 | | 442 | 4 | | 2256 | 173 | | 349 | 1 | | 446 | 2 | | 307 | 1 | | 1472 | 142 | | 332 | 1 | | 941 | 81 | | 646 | 39 | | 1922 | 201 | | 623 | 38 | | 405 | 12 | | 527 | 22 | | 491 | 24 | | 531 | 23 | | 474 | 27 | | 515 | 22 | | 856 | 104 | | 424 | 17 | | 515 | 37 | | 403 | 17 | | 1615 | 186 |
0
| K | Ld | Lr | Lf | Lc | Ls | | --- | --- | --- | --- | --- | --- | | 3 | 6 | − | − | 7 | 7 | | 4 | 18 | − | − | 20 | 20 | | 5 | 49 | 53 | − | 53 | 53 |
| 6 | 114 | 119 | 126 | 130 | 130 | | --- | --- | --- | --- | --- | --- | | 7 | 250 | 257 | 297 | 306 | 307 | | 8 | 534 | 543 | 663 | 705 | 706 | | 9 | 1122 | 1136 | 1473 | 1591 | 1592 | | 10 | 2333 | 2356 | 3202 | 3543 | 3543 |
1
| K | Ld | Lr | Lf | Lc | Ls | | --- | --- | --- | --- | --- | --- | | 3 | 6 | − | − | 7 | 7 | | 4 | 18 | − | − | 20 | 20 | | 5 | 49 | 53 | − | 53 | 53 |
| 1472 | 142 | | --- | --- | | 332 | 1 | | 941 | 81 | | 646 | 39 | | 1922 | 201 | | 623 | 38 | | 405 | 12 | | 527 | 22 | | 491 | 24 | | 531 | 23 | | 474 | 27 | | 515 | 22 | | 856 | 104 | | 424 | 17 | | 515 | 37 | | 403 | 17 | | 1615 | 186 |
0
| HiddenUnits | TestAcc. | TrainingAcc. | | | | --- | --- | --- | --- | --- | | | n≤20 | n≤25 | n≤20 | n≤25 | | 16 | 84.85 | 86.45 | 94.91 | 96.40 | | 32 | 83.41 | 83.89 | 94.43 | 93.18 | | 64 | 83.82 | 85.93 | 96.04 | 96.23 |
| 100 | 83.49 | 85.53 | 93.93 | 95.74 | | --- | --- | --- | --- | --- | | 128 | 84.67 | 86.75 | 97.49 | 97.52 | | 150 | 85.84 | 86.33 | 97.49 | 97.27 | | 200 | 85.98 | 87.46 | 97.27 | 97.46 |
1
| HiddenUnits | TestAcc. | TrainingAcc. | | | | --- | --- | --- | --- | --- | | | n≤20 | n≤25 | n≤20 | n≤25 | | 16 | 84.85 | 86.45 | 94.91 | 96.40 | | 32 | 83.41 | 83.89 | 94.43 | 93.18 | | 64 | 83.82 | 85.93 | 96.04 | 96.23 |
| HiddenUnits | TestAcc. | TrainingAcc. | | | | --- | --- | --- | --- | --- | | | n≤20 | n≤25 | n≤20 | n≤25 | | 16 | 87.02 | 88.73 | 96.60 | 97.79 | | 32 | 88.44 | 86.39 | 98.46 | 93.41 | | 64 | 88.29 | 88.56 | 99.06 | 96.55 | | 100 | 89.65 | 90.24 | 99.21 | 98.84 | | 128 | 89.24 | 89.31 | 98.79 | 98.26 | | 150 | 89.83 | 89.65 | 99.33 | 99.55 | | 200 | 89.92 | 90.65 | 99.71 | 99.47 |
0
| HiddenUnits | TestAcc. | TrainingAcc. | | | | --- | --- | --- | --- | --- | | | n≤20 | n≤25 | n≤20 | n≤25 | | 16 | 84.85 | 86.45 | 94.91 | 96.40 | | 32 | 83.41 | 83.89 | 94.43 | 93.18 | | 64 | 83.82 | 85.93 | 96.04 | 96.23 | | 100 | 83.49 | 85.53 | 93.93 | 95.74 |
| 128 | 84.67 | 86.75 | 97.49 | 97.52 | | --- | --- | --- | --- | --- | | 150 | 85.84 | 86.33 | 97.49 | 97.27 | | 200 | 85.98 | 87.46 | 97.27 | 97.46 |
1
| HiddenUnits | TestAcc. | TrainingAcc. | | | | --- | --- | --- | --- | --- | | | n≤20 | n≤25 | n≤20 | n≤25 | | 16 | 84.85 | 86.45 | 94.91 | 96.40 | | 32 | 83.41 | 83.89 | 94.43 | 93.18 | | 64 | 83.82 | 85.93 | 96.04 | 96.23 | | 100 | 83.49 | 85.53 | 93.93 | 95.74 |
| 150 | 89.83 | 89.65 | 99.33 | 99.55 | | --- | --- | --- | --- | --- | | 200 | 89.92 | 90.65 | 99.71 | 99.47 |
0
| | MAE | MSE | r | | --- | --- | --- | --- | | Temporal | 18.03 | 549.28 | 0.4557 | | Spatial | 19.51 | 602.54 | 0.4267 |
| Twostream-1 | 14.53 | 323.98 | 0.5773 | | --- | --- | --- | --- | | Twostream-50 | 14.04 | 303.48 | 0.6505 |
1
| | MAE | MSE | r | | --- | --- | --- | --- | | Temporal | 18.03 | 549.28 | 0.4557 | | Spatial | 19.51 | 602.54 | 0.4267 |
| PartA | | | | --- | --- | --- | | MAE | MSE | MAE | | 83.1 | 120.4 | 20.1 | | 82.1 | 111.3 | 18.8 | | 73.2 | 113.1 | 11.2 | | 69.3 | 96.4 | 11.1 | | 74.12 | 110.33 | 14.27 |
0
| | MAE | MSE | r | | --- | --- | --- | --- | | Temporal | 18.03 | 549.28 | 0.4557 |
| Spatial | 19.51 | 602.54 | 0.4267 | | --- | --- | --- | --- | | Twostream-1 | 14.53 | 323.98 | 0.5773 | | Twostream-50 | 14.04 | 303.48 | 0.6505 |
1
| | MAE | MSE | r | | --- | --- | --- | --- | | Temporal | 18.03 | 549.28 | 0.4557 |
| 73.2 | 113.1 | 11.2 | | --- | --- | --- | | 69.3 | 96.4 | 11.1 | | 74.12 | 110.33 | 14.27 |
0
| AND | asku | false | inv | msk | na | nask | nav | ni | oth | true | unk | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | asku | asku | false | ni | ni | ni | unk | asku | ni | ni | asku | unk | | false | false | false | false | false | false | false | false | false | false | false | false |
| inv | ni | false | inv | ni | ni | ni | ni | ni | inv | inv | ni | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | msk | ni | false | ni | msk | ni | ni | ni | ni | ni | msk | ni | | na | ni | false | ni | ni | na | ni | ni | ni | ni | na | ni | | nask | unk | false | ni | ni | ni | nask | unk | ni | ni | nask | unk | | nav | asku | false | ni | ni | ni | unk | nav | ni | ni | nav | unk | | ni | ni | false | ni | ni | ni | ni | ni | ni | ni | ni | ni | | oth | ni | false | inv | ni | ni | ni | ni | ni | oth | oth | ni | | true | asku | false | inv | msk | na | nask | nav | ni | oth | true | unk | | unk | unk | false | ni | ni | ni | unk | unk | ni | ni | unk | unk |
1
| AND | asku | false | inv | msk | na | nask | nav | ni | oth | true | unk | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | asku | asku | false | ni | ni | ni | unk | asku | ni | ni | asku | unk | | false | false | false | false | false | false | false | false | false | false | false | false |
| OR | asku | false | inv | msk | na | nask | nav | ni | oth | true | unk | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | asku | asku | asku | ni | ni | ni | unk | asku | ni | ni | true | unk | | false | asku | false | inv | msk | na | nask | nav | ni | oth | true | unk | | inv | ni | inv | inv | ni | ni | ni | ni | ni | inv | true | ni | | msk | ni | msk | ni | msk | ni | ni | ni | ni | ni | true | ni | | na | ni | na | ni | ni | na | ni | ni | ni | ni | true | ni | | nask | unk | nask | ni | ni | ni | nask | unk | ni | ni | true | unk | | nav | asku | nav | ni | ni | ni | unk | nav | ni | ni | true | unk | | ni | ni | ni | ni | ni | ni | ni | ni | ni | ni | true | ni | | oth | ni | oth | inv | ni | ni | ni | ni | ni | oth | true | ni | | true | true | true | true | true | true | true | true | true | true | true | true | | unk | unk | unk | ni | ni | ni | unk | unk | ni | ni | true | unk |
0
| AND | asku | false | inv | msk | na | nask | nav | ni | oth | true | unk | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | asku | asku | false | ni | ni | ni | unk | asku | ni | ni | asku | unk | | false | false | false | false | false | false | false | false | false | false | false | false | | inv | ni | false | inv | ni | ni | ni | ni | ni | inv | inv | ni |
| msk | ni | false | ni | msk | ni | ni | ni | ni | ni | msk | ni | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | na | ni | false | ni | ni | na | ni | ni | ni | ni | na | ni | | nask | unk | false | ni | ni | ni | nask | unk | ni | ni | nask | unk | | nav | asku | false | ni | ni | ni | unk | nav | ni | ni | nav | unk | | ni | ni | false | ni | ni | ni | ni | ni | ni | ni | ni | ni | | oth | ni | false | inv | ni | ni | ni | ni | ni | oth | oth | ni | | true | asku | false | inv | msk | na | nask | nav | ni | oth | true | unk | | unk | unk | false | ni | ni | ni | unk | unk | ni | ni | unk | unk |
1
| AND | asku | false | inv | msk | na | nask | nav | ni | oth | true | unk | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | asku | asku | false | ni | ni | ni | unk | asku | ni | ni | asku | unk | | false | false | false | false | false | false | false | false | false | false | false | false | | inv | ni | false | inv | ni | ni | ni | ni | ni | inv | inv | ni |
| nask | unk | nask | ni | ni | ni | nask | unk | ni | ni | true | unk | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | nav | asku | nav | ni | ni | ni | unk | nav | ni | ni | true | unk | | ni | ni | ni | ni | ni | ni | ni | ni | ni | ni | true | ni | | oth | ni | oth | inv | ni | ni | ni | ni | ni | oth | true | ni | | true | true | true | true | true | true | true | true | true | true | true | true | | unk | unk | unk | ni | ni | ni | unk | unk | ni | ni | true | unk |
0
| N | Range | AverageExpSup | | --- | --- | --- | | 1 | [0.0,0.2) | 1,558.9 | | 2 | [0.2,0.4) | 1,355.3 |
| 3 | [0.4,0.6) | 1,017.1 | | --- | --- | --- | | 4 | [0.6,0.8) | 649.9 | | 5 | [0.8,1.0) | 353.3 | | 6 | [1.0,1.2) | 155.9 | | 7 | [1.2,1.4) | 52.8 | | 8 | [1.4,1.6) | 16.6 | | 9 | [1.6,1.8) | 8.3 | | 10 | [1.8,2.0) | 5.7 |
1
| N | Range | AverageExpSup | | --- | --- | --- | | 1 | [0.0,0.2) | 1,558.9 | | 2 | [0.2,0.4) | 1,355.3 |
| 0 | 10 | 20 | 30 | 40 | 50 | 60 | | --- | --- | --- | --- | --- | --- | --- | | 9.3 | 7.6 | 5.9 | 4.3 | 3.0 | 2.0 | 1.2 | | 38.2 | 31.1 | 24.4 | 18.3 | 13.1 | 8.8 | 5.5 | | 86.7 | 70.4 | 55.2 | 41.4 | 29.7 | 19.9 | 12.4 | | 155.4 | 125.9 | 98.9 | 74.4 | 53.5 | 36.1 | 22.5 | | 326.0 | 264.5 | 207.6 | 156.2 | 111.9 | 75.7 | 47.1 |
0
| N | Range | AverageExpSup | | --- | --- | --- | | 1 | [0.0,0.2) | 1,558.9 | | 2 | [0.2,0.4) | 1,355.3 |
| 3 | [0.4,0.6) | 1,017.1 | | --- | --- | --- | | 4 | [0.6,0.8) | 649.9 | | 5 | [0.8,1.0) | 353.3 | | 6 | [1.0,1.2) | 155.9 | | 7 | [1.2,1.4) | 52.8 | | 8 | [1.4,1.6) | 16.6 | | 9 | [1.6,1.8) | 8.3 | | 10 | [1.8,2.0) | 5.7 |
1
| N | Range | AverageExpSup | | --- | --- | --- | | 1 | [0.0,0.2) | 1,558.9 | | 2 | [0.2,0.4) | 1,355.3 |
| 155.4 | 125.9 | 98.9 | 74.4 | 53.5 | 36.1 | 22.5 | | --- | --- | --- | --- | --- | --- | --- | | 326.0 | 264.5 | 207.6 | 156.2 | 111.9 | 75.7 | 47.1 |
0
| Class | WMaxSatz | MiniMaxSat | IncWMaxSatz | Clone | SAT4J | MSUncore | | --- | --- | --- | --- | --- | --- | --- | | IND | 99 | 110 | 0 | 110 | 100 | 0 |
| FIR | 52 | 45 | 33 | 54 | 49 | 14 | | --- | --- | --- | --- | --- | --- | --- | | SYN | 52 | 45 | 55 | 61 | 53 | 40 | | Total(Outof243 | 203 | 200 | 88 | 225 | 202 | 54 |
1
| Class | WMaxSatz | MiniMaxSat | IncWMaxSatz | Clone | SAT4J | MSUncore | | --- | --- | --- | --- | --- | --- | --- | | IND | 99 | 110 | 0 | 110 | 100 | 0 |
| Class | BSOLO | PBS | Pueblo | Minisat+ | SAT4J(PB) | WBO | | --- | --- | --- | --- | --- | --- | --- | | IND | 17 | 0 | 0 | 0 | 60 | 110 | | FIR | 20 | 11 | 14 | 22 | 7 | 39 | | SYN | 51 | 19 | 30 | 30 | 22 | 33 | | Total(Outof243) | 88 | 30 | 44 | 52 | 89 | 172 |
0
| Class | WMaxSatz | MiniMaxSat | IncWMaxSatz | Clone | SAT4J | MSUncore | | --- | --- | --- | --- | --- | --- | --- | | IND | 99 | 110 | 0 | 110 | 100 | 0 | | FIR | 52 | 45 | 33 | 54 | 49 | 14 |
| SYN | 52 | 45 | 55 | 61 | 53 | 40 | | --- | --- | --- | --- | --- | --- | --- | | Total(Outof243 | 203 | 200 | 88 | 225 | 202 | 54 |
1
| Class | WMaxSatz | MiniMaxSat | IncWMaxSatz | Clone | SAT4J | MSUncore | | --- | --- | --- | --- | --- | --- | --- | | IND | 99 | 110 | 0 | 110 | 100 | 0 | | FIR | 52 | 45 | 33 | 54 | 49 | 14 |
| SYN | 51 | 19 | 30 | 30 | 22 | 33 | | --- | --- | --- | --- | --- | --- | --- | | Total(Outof243) | 88 | 30 | 44 | 52 | 89 | 172 |
0
| XXXOBSOLETE! | | | | | | | --- | --- | --- | --- | --- | --- | | Executiontimeandspeedup<br>p1828.0730.13(27.48)16.93(48.91)8.94(92.63)15.95(51.92) | | | | | | | p29 | 1144.36 | 39.17(29.22) | 20.55(55.69) | 8.00(143.05) | 13.92(82.20) | | 6<br>Nodesexpanded×10<br>164cores128cores512cores1024cores<br>4nodes8nodes32nodes64nodes | | | | | | | p1 | 120 | 175 | 188 | 360 | 1,151 | | p29 | 160 | 218 | 225 | 307 | 960 | | 6<br>Nodesgenerated×10<br>p13825596031,1613,704 | | | | | | | p29 | 513 | 706 | 728 | 999 | 3,122 | | Loadbalancewrtnodeexpansion<br>64cores128cores512cores1024cores<br>4nodes8nodes32nodes64nodes | | | | | | | p1 | | 1.19 | 1.33 | 1.32 | 1.34 | | p29 | | 1.21 | 1.32 | 1.33 | 1.31 |
| Nodeexpansionpersecondpercore<br>64cores128cores512cores1024cores<br>4nodes8nodes32nodes64nodes | | | | | | | --- | --- | --- | --- | --- | --- | | p1 | | 90959.02 | 87087.08 | 78633.16 | 70473.91 | | p29 | | 87238.84 | 85637.71 | 75113.93 | 67385.12 |
1
| XXXOBSOLETE! | | | | | | | --- | --- | --- | --- | --- | --- | | Executiontimeandspeedup<br>p1828.0730.13(27.48)16.93(48.91)8.94(92.63)15.95(51.92) | | | | | | | p29 | 1144.36 | 39.17(29.22) | 20.55(55.69) | 8.00(143.05) | 13.92(82.20) | | 6<br>Nodesexpanded×10<br>164cores128cores512cores1024cores<br>4nodes8nodes32nodes64nodes | | | | | | | p1 | 120 | 175 | 188 | 360 | 1,151 | | p29 | 160 | 218 | 225 | 307 | 960 | | 6<br>Nodesgenerated×10<br>p13825596031,1613,704 | | | | | | | p29 | 513 | 706 | 728 | 999 | 3,122 | | Loadbalancewrtnodeexpansion<br>64cores128cores512cores1024cores<br>4nodes8nodes32nodes64nodes | | | | | | | p1 | | 1.19 | 1.33 | 1.32 | 1.34 | | p29 | | 1.21 | 1.32 | 1.33 | 1.31 |
| Num.of<br>processes | Checkpoint<br>time(s) | Restart<br>time(s) | Totalckpt<br>size(TB) | Write(ckpt)<br>bandwidth(GB/s) | | --- | --- | --- | --- | --- | | 8192 | 136.1 | 215.3 | 9.4 | 69 | | 16368 | 367.4 | 706.6 | 19 | 52 | | 1<br>24000() | 634.8 | 1183.8 | 29 | 46 | | 2<br>32752() | 652.8 | 2539.05 | 38 | 60 |
0
| XXXOBSOLETE! | | | | | | | --- | --- | --- | --- | --- | --- | | Executiontimeandspeedup<br>p1828.0730.13(27.48)16.93(48.91)8.94(92.63)15.95(51.92) | | | | | | | p29 | 1144.36 | 39.17(29.22) | 20.55(55.69) | 8.00(143.05) | 13.92(82.20) | | 6<br>Nodesexpanded×10<br>164cores128cores512cores1024cores<br>4nodes8nodes32nodes64nodes | | | | | | | p1 | 120 | 175 | 188 | 360 | 1,151 |
| p29 | 160 | 218 | 225 | 307 | 960 | | --- | --- | --- | --- | --- | --- | | 6<br>Nodesgenerated×10<br>p13825596031,1613,704 | | | | | | | p29 | 513 | 706 | 728 | 999 | 3,122 | | Loadbalancewrtnodeexpansion<br>64cores128cores512cores1024cores<br>4nodes8nodes32nodes64nodes | | | | | | | p1 | | 1.19 | 1.33 | 1.32 | 1.34 | | p29 | | 1.21 | 1.32 | 1.33 | 1.31 | | Nodeexpansionpersecondpercore<br>64cores128cores512cores1024cores<br>4nodes8nodes32nodes64nodes | | | | | | | p1 | | 90959.02 | 87087.08 | 78633.16 | 70473.91 | | p29 | | 87238.84 | 85637.71 | 75113.93 | 67385.12 |
1
| XXXOBSOLETE! | | | | | | | --- | --- | --- | --- | --- | --- | | Executiontimeandspeedup<br>p1828.0730.13(27.48)16.93(48.91)8.94(92.63)15.95(51.92) | | | | | | | p29 | 1144.36 | 39.17(29.22) | 20.55(55.69) | 8.00(143.05) | 13.92(82.20) | | 6<br>Nodesexpanded×10<br>164cores128cores512cores1024cores<br>4nodes8nodes32nodes64nodes | | | | | | | p1 | 120 | 175 | 188 | 360 | 1,151 |
| 1<br>24000() | 634.8 | 1183.8 | 29 | 46 | | --- | --- | --- | --- | --- | | 2<br>32752() | 652.8 | 2539.05 | 38 | 60 |
0
| Non-EnglishorMath | Frequency | Comments | | --- | --- | --- | | Ø | 1in1,000 | ForSwedishnames |
| π | 1in5 | Commoninmath | | --- | --- | --- | | $ | 4in5 | Usedinbusiness | | Ψ | 1in40,000 | Unexplainedusage |
1
| Non-EnglishorMath | Frequency | Comments | | --- | --- | --- | | Ø | 1in1,000 | ForSwedishnames |
| Non-EnglishorMath | Frequency | Comments | | --- | --- | --- | | Ø | 1in1,000 | ForSwedishnames | | π | 1in5 | Commoninmath | | $ | 4in5 | Usedinbusiness | | Ψ | 1in40,000 | Unexplainedusage |
0
| Non-EnglishorMath | Frequency | Comments | | --- | --- | --- | | Ø | 1in1,000 | ForSwedishnames | | π | 1in5 | Commoninmath |
| $ | 4in5 | Usedinbusiness | | --- | --- | --- | | Ψ | 1in40,000 | Unexplainedusage |
1
| Non-EnglishorMath | Frequency | Comments | | --- | --- | --- | | Ø | 1in1,000 | ForSwedishnames | | π | 1in5 | Commoninmath |
| $ | 4in5 | Usedinbusiness | | --- | --- | --- | | Ψ | 1in40,000 | Unexplainedusage |
0
| PASCAL-S | | --- | | 0.666 | | 0.752 | | 0.740 | | 0.764 | | 0.793 |
| 0.815 | | --- | | 0.822 | | 0.835 | | 0.859 | | 0.861 | | 0.864 |
1
| PASCAL-S | | --- | | 0.666 | | 0.752 | | 0.740 | | 0.764 | | 0.793 |
| 0.4068 | 0.2910 | 0.3571 | | --- | --- | --- | | 0.3446 | 0.3532 | 0.3476 | | 0.4592 | 0.2090 | 0.3236 | | 0.5393 | 0.2397 | 0.3751 | | 0.1369 | 0.0986 | 0.1205 | | 0.5626 | 0.2808 | 0.4164 |
0
| PASCAL-S | | --- | | 0.666 |
| 0.752 | | --- | | 0.740 | | 0.764 | | 0.793 | | 0.815 | | 0.822 | | 0.835 | | 0.859 | | 0.861 | | 0.864 |
1
| PASCAL-S | | --- | | 0.666 |
| 0.4592 | 0.2090 | 0.3236 | | --- | --- | --- | | 0.5393 | 0.2397 | 0.3751 | | 0.1369 | 0.0986 | 0.1205 | | 0.5626 | 0.2808 | 0.4164 |
0
| Property | Definition | | --- | --- | | Reflexivity | ∀ar(a,a) | | Irreflexivity | ∀a¬r(a,a) | | Symmetry | ∀a∀br(a,b)⇒r(b,a) |
| Antisymmetry | ∀a∀br(a,b)∧r(b,a)⇒a=b | | --- | --- | | Transitivity | ∀a∀b∀cr(a,b)∧r(b,c)⇒r(a,c) |
1
| Property | Definition | | --- | --- | | Reflexivity | ∀ar(a,a) | | Irreflexivity | ∀a¬r(a,a) | | Symmetry | ∀a∀br(a,b)⇒r(b,a) |
| ∀∀∀(,)∧(,)⇒(,)abcfatheracmotherbchusbandab | | --- | | ∀∀∀(,)∧(,)⇒(,)abcfatheracmotherbcwifeba | | ∀∀∀(,)∧(,)⇒(,)abcdaughteracsonbcsisterab | | ∀∀∀(,)∧(,)⇒(,)abcdaughteracsonbcbrotherba | | ∀∀∀(,)∧(,)⇒(,)abcfatherabfatherbcgrandfatherac | | ∀∀∀(,)∧(,)⇒(,)abcsonabsonbcgrandsonac | | ∀∀∀(,)∧(,)⇒(,)abcmotherabmotherbcgrandmotherac | | ∀∀∀(,)∧(,)⇒(,)abcdaughterabdaughterbcgranddaughterac | | ∀∀∀∀(,)∧(,)∧(,)⇒(,)abcdsonabdaughterbcsondcuncleda | | ∀∀∀∀(,)∧(,)∧(,)⇒(,)abcddaughterabsonbcdaughterdcauntda | | ∀∀∀∀(,)∧(,)∧(,)⇒(,)abcdsonabdaughterbcsondcnephewad | | ∀∀∀∀(,)∧(,)∧(,)⇒(,)abcddaughterabsonbcdaughterdcniecead | | ∀∀∀∀∀(,)∧(,)∧(,)∧(,)⇒(,)abcdesonabdaughterbcsondcdaughteredcousinae |
0
| Property | Definition | | --- | --- | | Reflexivity | ∀ar(a,a) | | Irreflexivity | ∀a¬r(a,a) |
| Symmetry | ∀a∀br(a,b)⇒r(b,a) | | --- | --- | | Antisymmetry | ∀a∀br(a,b)∧r(b,a)⇒a=b | | Transitivity | ∀a∀b∀cr(a,b)∧r(b,c)⇒r(a,c) |
1
| Property | Definition | | --- | --- | | Reflexivity | ∀ar(a,a) | | Irreflexivity | ∀a¬r(a,a) |
| ∀∀∀(,)∧(,)⇒(,)abcmotherabmotherbcgrandmotherac | | --- | | ∀∀∀(,)∧(,)⇒(,)abcdaughterabdaughterbcgranddaughterac | | ∀∀∀∀(,)∧(,)∧(,)⇒(,)abcdsonabdaughterbcsondcuncleda | | ∀∀∀∀(,)∧(,)∧(,)⇒(,)abcddaughterabsonbcdaughterdcauntda | | ∀∀∀∀(,)∧(,)∧(,)⇒(,)abcdsonabdaughterbcsondcnephewad | | ∀∀∀∀(,)∧(,)∧(,)⇒(,)abcddaughterabsonbcdaughterdcniecead | | ∀∀∀∀∀(,)∧(,)∧(,)∧(,)⇒(,)abcdesonabdaughterbcsondcdaughteredcousinae |
0
| | Eng | | | --- | --- | --- | | L-BFGS | MIRA | AP |
| UASRACM | UASRACM | UASRACM | | | --- | --- | --- | --- | | Sib<br>Gch<br>GSib | 92.495.446.4<br>92.294.944.6<br>93.096.148.8 | 92.595.145.7<br>92.394.744.0<br>93.095.848.3 | 91.994.844.1<br>91.694.541.6<br>92.495.546.6 | | Sib<br>Gch<br>GSib | Chn | | | | L-BFGS | MIRA | AP | | | UASRACM<br>86.378.535.0<br>85.578.033.3<br>87.280.037.0 | UASRACM<br>86.177.834.1<br>85.477.631.7<br>87.079.535.8 | UASRACM<br>84.074.231.1<br>83.974.929.6<br>85.177.132.0 | | | Sib<br>Gch<br>GSib | Cze | | | | L-BFGS | MIRA | AP | | | UASRACM<br>85.690.836.3<br>86.091.836.5<br>87.593.239.3 | UASRACM<br>85.590.535.1<br>85.891.435.6<br>87.392.938.4 | UASRACM<br>84.689.534.0<br>85.090.234.6<br>86.492.136.9 | |
1
| | Eng | | | --- | --- | --- | | L-BFGS | MIRA | AP |
| DS | M | de | fr | ru | it | nl | pt | sv | es | ar | fa | M.AVG | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | MC | ESA<br>LSA<br>W2V<br>GloVe | -0.18<br>-0.13<br>-0.02<br>-0.31 | -0.03<br>0.31<br>0.43<br>0.22 | -0.36<br>0.04<br>0.07<br>-0.11 | 0.03<br>0.16<br>0.05<br>0.25 | -0.16<br>0.20<br>0.21<br>0.14 | -0.44<br>0.70<br>1.04<br>-0.10 | 0.31<br>0.27<br>1.00<br>0.51 | -0.32<br>0.17<br>0.13<br>0.26 | -0.16<br>0.50<br>0.88<br>0.85 | 0.03<br>0.68<br>0.09<br>0.75 | -0.13<br>0.29<br>0.39<br>0.25 | | RG | ESA<br>LSA<br>W2V<br>GloVe | -0.09<br>-0.03<br>-0.11<br>-0.11 | 0.19<br>1.04<br>0.39<br>0.55 | -0.18<br>0.14<br>0.08<br>0.01 | 0.21<br>0.52<br>0.14<br>0.31 | 0.08<br>0.30<br>0.18<br>0.43 | 0.11<br>1.15<br>0.76<br>0.28 | 0.12<br>0.26<br>0.23<br>0.35 | -0.19<br>0.77<br>0.14<br>0.17 | 0.06<br>0.57<br>0.59<br>1.04 | 0.25<br>0.52<br>0.44<br>0.36 | 0.06<br>0.52<br>0.28<br>0.34 | | WS353 | ESA<br>LSA<br>W2V<br>GloVe | 0.08<br>0.12<br>0.14<br>0.10 | 0.40<br>0.43<br>0.19<br>0.41 | -0.07<br>0.19<br>0.09<br>0.00 | 0.18<br>0.45<br>0.14<br>0.41 | -0.18<br>0.09<br>0.08<br>0.00 | -0.02<br>-0.01<br>-0.04<br>-0.14 | -0.07<br>0.27<br>0.33<br>0.28 | -0.07<br>0.21<br>0.04<br>0.30 | 0.60<br>0.34<br>0.12<br>0.28 | -0.13<br>0.01<br>0.00<br>0.04 | 0.07<br>0.21<br>0.11<br>0.17 | | | AVG | 0.06 | 0.52 | 0.13 | 0.36 | 0.23 | 0.29 | 0.70 | 0.22 | 0.59 | 0.82 | |
0
| | Eng | | | --- | --- | --- | | L-BFGS | MIRA | AP |
| UASRACM | UASRACM | UASRACM | | | --- | --- | --- | --- | | Sib<br>Gch<br>GSib | 92.495.446.4<br>92.294.944.6<br>93.096.148.8 | 92.595.145.7<br>92.394.744.0<br>93.095.848.3 | 91.994.844.1<br>91.694.541.6<br>92.495.546.6 | | Sib<br>Gch<br>GSib | Chn | | | | L-BFGS | MIRA | AP | | | UASRACM<br>86.378.535.0<br>85.578.033.3<br>87.280.037.0 | UASRACM<br>86.177.834.1<br>85.477.631.7<br>87.079.535.8 | UASRACM<br>84.074.231.1<br>83.974.929.6<br>85.177.132.0 | | | Sib<br>Gch<br>GSib | Cze | | | | L-BFGS | MIRA | AP | | | UASRACM<br>85.690.836.3<br>86.091.836.5<br>87.593.239.3 | UASRACM<br>85.590.535.1<br>85.891.435.6<br>87.392.938.4 | UASRACM<br>84.689.534.0<br>85.090.234.6<br>86.492.136.9 | |
1
| | Eng | | | --- | --- | --- | | L-BFGS | MIRA | AP |
| WS353 | ESA<br>LSA<br>W2V<br>GloVe | 0.08<br>0.12<br>0.14<br>0.10 | 0.40<br>0.43<br>0.19<br>0.41 | -0.07<br>0.19<br>0.09<br>0.00 | 0.18<br>0.45<br>0.14<br>0.41 | -0.18<br>0.09<br>0.08<br>0.00 | -0.02<br>-0.01<br>-0.04<br>-0.14 | -0.07<br>0.27<br>0.33<br>0.28 | -0.07<br>0.21<br>0.04<br>0.30 | 0.60<br>0.34<br>0.12<br>0.28 | -0.13<br>0.01<br>0.00<br>0.04 | 0.07<br>0.21<br>0.11<br>0.17 | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | | AVG | 0.06 | 0.52 | 0.13 | 0.36 | 0.23 | 0.29 | 0.70 | 0.22 | 0.59 | 0.82 | |
0
| nv04 | #ret | Av.P | Av.R | Av.F | Difference | | --- | --- | --- | --- | --- | --- | | p0.7 | 5713 | 0.495 | 0.864 | 0.615 | 192novelin<br>492extra | | sp0.7s2.0 | 6205 | 0.487 | 0.911 | 0.620 | | | sp0.7s2.0 | 6205 | 0.487 | 0.911 | 0.620 | 80novelin<br>347extra | | sp0.7s3.0 | 6552 | 0.475 | 0.929 | 0.615 | | | sp0.7s3.0 | 6552 | 0.475 | 0.929 | 0.615 | 56novelin<br>266extra |
| sp0.7s4.0 | 6818 | 0.466 | 0.942 | 0.609 | | | --- | --- | --- | --- | --- | --- | | sp0.7s4.0 | 6818 | 0.466 | 0.942 | 0.609 | 15novelin<br>75extra | | sp0.7s5.0 | 6893 | 0.464 | 0.945 | 0.608 | | | sp0.7s5.0 | 6893 | 0.464 | 0.945 | 0.608 | 22novelin<br>72extra | | o0.7 | 6965 | 0.462 | 0.950 | 0.608 | | | nv03 | #ret | Av.P | Av.R | Av.F | Difference | | p0.7 | 9127 | 0.755 | 0.762 | 0.744 | 2763novel<br>4123extra | | sp0.7s5.0 | 13250 | 0.720 | 0.969 | 0.815 | | | sp0.7s5.0 | 13250 | 0.720 | 0.969 | 0.815 | 25novel<br>53extra | | o0.7 | 13303 | 0.719 | 0.972 | 0.815 | | | nvyiz | #ret | Av.P | Av.R | Av.F | Difference | | sp0.8s5.0 | 9199 | 0.914 | 0.978 | 0.943 | 70novel<br>97extra | | sp0.8s6.0 | 9296 | 0.911 | 0.985 | 0.946 | | | sp0.8s6.0 | 9296 | 0.911 | 0.985 | 0.946 | 19novel<br>53extra | | o0.8 | 9349 | 0.909 | 0.988 | 0.945 | |
1
| nv04 | #ret | Av.P | Av.R | Av.F | Difference | | --- | --- | --- | --- | --- | --- | | p0.7 | 5713 | 0.495 | 0.864 | 0.615 | 192novelin<br>492extra | | sp0.7s2.0 | 6205 | 0.487 | 0.911 | 0.620 | | | sp0.7s2.0 | 6205 | 0.487 | 0.911 | 0.620 | 80novelin<br>347extra | | sp0.7s3.0 | 6552 | 0.475 | 0.929 | 0.615 | | | sp0.7s3.0 | 6552 | 0.475 | 0.929 | 0.615 | 56novelin<br>266extra |
| ULvs.GN | ULvs.FT | | --- | --- | | PrecRecF1 | PrecRecF1 | | 0.6940.6940.694<br>0.6770.6760.676<br>0.7350.7350.735<br>0.7650.7620.763 | 0.7870.7680.777<br>0.6660.6660.666<br>0.8650.8630.864<br>0.8690.8680.868 | | 0.8340.8330.833 | 0.8970.8970.897 | | 0.5000.5000.500 | 0.5000.5000.500 |
0
| nv04 | #ret | Av.P | Av.R | Av.F | Difference | | --- | --- | --- | --- | --- | --- | | p0.7 | 5713 | 0.495 | 0.864 | 0.615 | 192novelin<br>492extra | | sp0.7s2.0 | 6205 | 0.487 | 0.911 | 0.620 | | | sp0.7s2.0 | 6205 | 0.487 | 0.911 | 0.620 | 80novelin<br>347extra | | sp0.7s3.0 | 6552 | 0.475 | 0.929 | 0.615 | | | sp0.7s3.0 | 6552 | 0.475 | 0.929 | 0.615 | 56novelin<br>266extra | | sp0.7s4.0 | 6818 | 0.466 | 0.942 | 0.609 | | | sp0.7s4.0 | 6818 | 0.466 | 0.942 | 0.609 | 15novelin<br>75extra | | sp0.7s5.0 | 6893 | 0.464 | 0.945 | 0.608 | | | sp0.7s5.0 | 6893 | 0.464 | 0.945 | 0.608 | 22novelin<br>72extra |
| o0.7 | 6965 | 0.462 | 0.950 | 0.608 | | | --- | --- | --- | --- | --- | --- | | nv03 | #ret | Av.P | Av.R | Av.F | Difference | | p0.7 | 9127 | 0.755 | 0.762 | 0.744 | 2763novel<br>4123extra | | sp0.7s5.0 | 13250 | 0.720 | 0.969 | 0.815 | | | sp0.7s5.0 | 13250 | 0.720 | 0.969 | 0.815 | 25novel<br>53extra | | o0.7 | 13303 | 0.719 | 0.972 | 0.815 | | | nvyiz | #ret | Av.P | Av.R | Av.F | Difference | | sp0.8s5.0 | 9199 | 0.914 | 0.978 | 0.943 | 70novel<br>97extra | | sp0.8s6.0 | 9296 | 0.911 | 0.985 | 0.946 | | | sp0.8s6.0 | 9296 | 0.911 | 0.985 | 0.946 | 19novel<br>53extra | | o0.8 | 9349 | 0.909 | 0.988 | 0.945 | |
1
| nv04 | #ret | Av.P | Av.R | Av.F | Difference | | --- | --- | --- | --- | --- | --- | | p0.7 | 5713 | 0.495 | 0.864 | 0.615 | 192novelin<br>492extra | | sp0.7s2.0 | 6205 | 0.487 | 0.911 | 0.620 | | | sp0.7s2.0 | 6205 | 0.487 | 0.911 | 0.620 | 80novelin<br>347extra | | sp0.7s3.0 | 6552 | 0.475 | 0.929 | 0.615 | | | sp0.7s3.0 | 6552 | 0.475 | 0.929 | 0.615 | 56novelin<br>266extra | | sp0.7s4.0 | 6818 | 0.466 | 0.942 | 0.609 | | | sp0.7s4.0 | 6818 | 0.466 | 0.942 | 0.609 | 15novelin<br>75extra | | sp0.7s5.0 | 6893 | 0.464 | 0.945 | 0.608 | | | sp0.7s5.0 | 6893 | 0.464 | 0.945 | 0.608 | 22novelin<br>72extra |
| 0.6940.6940.694<br>0.6770.6760.676<br>0.7350.7350.735<br>0.7650.7620.763 | 0.7870.7680.777<br>0.6660.6660.666<br>0.8650.8630.864<br>0.8690.8680.868 | | --- | --- | | 0.8340.8330.833 | 0.8970.8970.897 | | 0.5000.5000.500 | 0.5000.5000.500 |
0
| image | base | mtbdd<br>(1)(2) | | --- | --- | --- | | image0 | 3574 | 134.612236 | | image1 | 32.01 | 1.7841.90 | | image2 | 350.72 | 13.88285.48 |
| image3 | 4000 | 214.641898.21 | | --- | --- | --- | | image4 | sameasimage3 | 148.95533.52 |
1
| image | base | mtbdd<br>(1)(2) | | --- | --- | --- | | image0 | 3574 | 134.612236 | | image1 | 32.01 | 1.7841.90 | | image2 | 350.72 | 13.88285.48 |
| image | base | mtbdd<br>(1)(2) | | --- | --- | --- | | image0 | 3152 | 2.423.56 | | image1 | 27.93 | 0.110.17 | | image2 | 307.44 | 0.390.73 | | image3 | 3534 | 2.664.14 | | image4 | sameasimage3 | 1.812.22 |
0
| image | base | mtbdd<br>(1)(2) | | --- | --- | --- | | image0 | 3574 | 134.612236 | | image1 | 32.01 | 1.7841.90 |
| image2 | 350.72 | 13.88285.48 | | --- | --- | --- | | image3 | 4000 | 214.641898.21 | | image4 | sameasimage3 | 148.95533.52 |
1
| image | base | mtbdd<br>(1)(2) | | --- | --- | --- | | image0 | 3574 | 134.612236 | | image1 | 32.01 | 1.7841.90 |
| image3 | 3534 | 2.664.14 | | --- | --- | --- | | image4 | sameasimage3 | 1.812.22 |
0
| Dataset | Electro. | Clothe. | | --- | --- | --- | | BPR | 0.7982 | 0.7061 | | Bi-LSTM | 0.8757 | 0.7869 | | Bi-LSTM+Attention | 0.8769 | 0.7835 |
| CNN+MaxPooling | 0.8804 | 0.7786 | | --- | --- | --- | | ATRank | 0.8921 | 0.7905 |
1
| Dataset | Electro. | Clothe. | | --- | --- | --- | | BPR | 0.7982 | 0.7061 | | Bi-LSTM | 0.8757 | 0.7869 | | Bi-LSTM+Attention | 0.8769 | 0.7835 |
| PredictTarget | Item | Query | Coupon | | --- | --- | --- | --- | | Bi-LSTM | 0.6779 | 0.6019 | 0.8500 | | Bi-LSTM+Attention | 0.6754 | 0.5999 | 0.8413 | | CNN+MaxPooling | 0.6762 | 0.6100 | 0.8611 | | ATRank-one2one | 0.6785 | 0.6132 | 0.8601 | | ATRank-all2one | 0.6825 | 0.6297 | 0.8725 | | ATRank-all2all | 0.6759 | 0.6199 | 0.8587 |
0
| Dataset | Electro. | Clothe. | | --- | --- | --- | | BPR | 0.7982 | 0.7061 | | Bi-LSTM | 0.8757 | 0.7869 |
| Bi-LSTM+Attention | 0.8769 | 0.7835 | | --- | --- | --- | | CNN+MaxPooling | 0.8804 | 0.7786 | | ATRank | 0.8921 | 0.7905 |
1
| Dataset | Electro. | Clothe. | | --- | --- | --- | | BPR | 0.7982 | 0.7061 | | Bi-LSTM | 0.8757 | 0.7869 |
| Bi-LSTM+Attention | 0.6754 | 0.5999 | 0.8413 | | --- | --- | --- | --- | | CNN+MaxPooling | 0.6762 | 0.6100 | 0.8611 | | ATRank-one2one | 0.6785 | 0.6132 | 0.8601 | | ATRank-all2one | 0.6825 | 0.6297 | 0.8725 | | ATRank-all2all | 0.6759 | 0.6199 | 0.8587 |
0
| systemparameters | | | | | --- | --- | --- | --- | | churnrate(α) | failurefraction(∆) | minimumsystemsize(N)min | joinbound(γ) |
| 0 | 0.33 | N/A | N/A | | --- | --- | --- | --- | | 0.01 | 0.26 | 7 | 0.67 | | 0.04 | 0.06 | 9 | 0.72 |
1
| systemparameters | | | | | --- | --- | --- | --- | | churnrate(α) | failurefraction(∆) | minimumsystemsize(N)min | joinbound(γ) |
| ac | 200 | 150 | 130 | 110 | 90 | 70 | 50 | 30 | | --- | --- | --- | --- | --- | --- | --- | --- | --- | | BEGK | 0.54 | 3.2 | 8.7 | 22 | 87 | 430 | - | - | | DL | 0.004 | 0.042 | 0.28 | 0.98 | 4.8 | 31 | 270 | - | | BMR | 0.008 | 0.041 | 0.074 | 0.17 | 2.3 | 5.7 | 21 | 140 | | HBC | 0.004 | 0.018 | 0.064 | 0.16 | 0.95 | 3.4 | 19 | 170 | | KS | fail | fail | fail | fail | fail | fail | fail | fail | | RS | 0.001 | 0.011 | 0.02 | 0.052 | 0.26 | 0.78 | 3.3 | 32 | | DFS | 0.002 | 0.013 | 0.034 | 0.05 | 0.23 | 0.76 | 3.2 | 28 | | cRS | 0 | 0.007 | 0.027 | 0.05 | 0.23 | 1.4 | 12 | 230 | | cDFS | 0.001 | 0.005 | 0.019 | 0.051 | 0.18 | 0.95 | 8.4 | 170 | | \|F\| | 81 | 447 | 990 | 2000 | 4322 | 10968 | 32207 | 135439 | | \|F\| | 57.48 | 56.34 | 72.85 | 72.23 | 326.66 | 326.08 | 325.31 | 430.39 | | \|dual(F)\| | 253 | 1039 | 1916 | 3547 | 7617 | 17486 | 47137 | 185218 | | \|S\| | 2.57 | 3.77 | 4.25 | 4.73 | 5.09 | 5.70 | 6.46 | 7.32 |
0
| systemparameters | | | | | --- | --- | --- | --- | | churnrate(α) | failurefraction(∆) | minimumsystemsize(N)min | joinbound(γ) |
| 0 | 0.33 | N/A | N/A | | --- | --- | --- | --- | | 0.01 | 0.26 | 7 | 0.67 | | 0.04 | 0.06 | 9 | 0.72 |
1
| systemparameters | | | | | --- | --- | --- | --- | | churnrate(α) | failurefraction(∆) | minimumsystemsize(N)min | joinbound(γ) |
| HBC | 0.004 | 0.018 | 0.064 | 0.16 | 0.95 | 3.4 | 19 | 170 | | --- | --- | --- | --- | --- | --- | --- | --- | --- | | KS | fail | fail | fail | fail | fail | fail | fail | fail | | RS | 0.001 | 0.011 | 0.02 | 0.052 | 0.26 | 0.78 | 3.3 | 32 | | DFS | 0.002 | 0.013 | 0.034 | 0.05 | 0.23 | 0.76 | 3.2 | 28 | | cRS | 0 | 0.007 | 0.027 | 0.05 | 0.23 | 1.4 | 12 | 230 | | cDFS | 0.001 | 0.005 | 0.019 | 0.051 | 0.18 | 0.95 | 8.4 | 170 | | \|F\| | 81 | 447 | 990 | 2000 | 4322 | 10968 | 32207 | 135439 | | \|F\| | 57.48 | 56.34 | 72.85 | 72.23 | 326.66 | 326.08 | 325.31 | 430.39 | | \|dual(F)\| | 253 | 1039 | 1916 | 3547 | 7617 | 17486 | 47137 | 185218 | | \|S\| | 2.57 | 3.77 | 4.25 | 4.73 | 5.09 | 5.70 | 6.46 | 7.32 |
0
| #Params | RVD | | --- | --- | | @1 | @10 |
| 0.09m<br>1.82m | 0.106<br>0.190 | 0.316<br>0.452 | | --- | --- | --- | | 10.2m<br>10.6m<br>10.4m<br>10.8m | 0.175<br>0.187<br>0.286<br>0.293 | 0.465<br>0.492<br>0.573<br>0.581 | | 11.1m<br>11.7m | 0.307<br>0.308 | 0.600<br>0.608 |
1
| #Params | RVD | | --- | --- | | @1 | @10 |
| Depth | Para | C-10 | | --- | --- | --- | | - | | 7.25 | | 110 | 1.7M | 6.61 | | 28 | 36.5M | 4.17 | | 1001 | 10.2M | 4.62 | | 40<br>100<br>100<br>190 | 1.0M<br>7.0M<br>27.2M<br>25.6M | 5.24<br>4.10<br>3.74<br>3.46 | | -<br>- | -<br>11.2M | 7.32<br>6.92 | | 15<br>20<br>39<br>39 | 4.2M<br>2.5M<br>7.1M<br>37.4M | 5.50<br>6.01<br>4.47<br>3.65 | | 25<br>37<br>19<br>22 | -<br>-<br>6.1M<br>39.8M | 3.60<br>3.80<br>4.38<br>3.54 |
0
| #Params | RVD | | | --- | --- | --- | | @1 | @10 | | | 0.09m<br>1.82m | 0.106<br>0.190 | 0.316<br>0.452 |
| 10.2m<br>10.6m<br>10.4m<br>10.8m | 0.175<br>0.187<br>0.286<br>0.293 | 0.465<br>0.492<br>0.573<br>0.581 | | --- | --- | --- | | 11.1m<br>11.7m | 0.307<br>0.308 | 0.600<br>0.608 |
1
| #Params | RVD | | | --- | --- | --- | | @1 | @10 | | | 0.09m<br>1.82m | 0.106<br>0.190 | 0.316<br>0.452 |
| -<br>- | -<br>11.2M | 7.32<br>6.92 | | --- | --- | --- | | 15<br>20<br>39<br>39 | 4.2M<br>2.5M<br>7.1M<br>37.4M | 5.50<br>6.01<br>4.47<br>3.65 | | 25<br>37<br>19<br>22 | -<br>-<br>6.1M<br>39.8M | 3.60<br>3.80<br>4.38<br>3.54 |
0
| Sizeofreducedsubkey-space | | --- | | - |
| 2−5592406≈2 | | --- | | 136/2=2 | | <(255−128−1)=126 |
1
| Sizeofreducedsubkey-space | | --- | | - |
| NumberOfKeysOnTheSortedArray | 327kilo | | --- | --- | | SearchKeySize | 4bytes | | IndexTreeSize | 3.2MB | | SubtreeSize(excepttherootsubtree)(inB,C) | 320KB | | RootSubtreeSize(inB,C) | 44bytes | | T(inA,B) | 7 | | L(inC-1,C-2) | 6 | | SizeofNode(inA,B,andC-1) | 32bytes | | SizeofRootNode(inC-2) | 32bytes | | SizeofLeafNode(inC-2) | 8KB |
0
| Sizeofreducedsubkey-space | | --- | | - | | 2−5592406≈2 |
| 136/2=2 | | --- | | <(255−128−1)=126 |
1
| Sizeofreducedsubkey-space | | --- | | - | | 2−5592406≈2 |
| SubtreeSize(excepttherootsubtree)(inB,C) | 320KB | | --- | --- | | RootSubtreeSize(inB,C) | 44bytes | | T(inA,B) | 7 | | L(inC-1,C-2) | 6 | | SizeofNode(inA,B,andC-1) | 32bytes | | SizeofRootNode(inC-2) | 32bytes | | SizeofLeafNode(inC-2) | 8KB |
0