Details

Time bar (total: 3.5min)

sample19.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
045
155
done55

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ x (+ y x))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
associate-/r* distribute-lft-out
add-exp-log add-cbrt-cube associate-/l*
associate-/r/
pow1 cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv add-log-exp
Counts
1 → 33
Calls
1 calls:
6.0ms
(/ x (+ y x))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(/ x (+ y x))

simplify16.9s

Counts
36 → 36
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
067
197
2107
done107
056
196
2116
3126
done126
056
166
done66
0817
13017
2919
32167
44897
512857
630107
done50007
0613
1713
done713
056
166
done66
0617
11417
2307
3687
41497
52967
65767
713577
847517
done50007
056
166
done66
056
166
done66
022
done22
044
184
2104
3114
done114
0815
11515
22415
33015
done3015
067
177
done77
0710
11010
21210
31310
done1310
067
177
done77
057
195
2155
3205
done205
056
166
done66
057
195
2155
3205
done205
056
166
done66
0712
11012
done1012
067
177
done77
067
177
done77
067
177
done77
044
162
282
done82
056
166
done66
044
162
282
done82
056
166
done66
0711
11211
done1211
056
166
done66
066
196
done96
056
166
done66
023
141
done41
045
155
done55
023
141
done41
045
155
done55
055
185
done85
045
155
done55
0611
1911
done911
056
166
done66
033
151
done51
033
151
done51
056
166
done66
056
166
done66
045
155
done55
079
1219
2309
3479
4889
52009
66049
724369
done50009
069
1119
2209
3379
4629
51039
61619
73299
816199
done50009
011
done11
011
done11
011
done11

prune38.0ms

Filtered
26 candidates to 36 candidates (-38.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New34236
Fresh000
Picked011
Done000
Total34337

Merged error: 0.0b

Counts
37 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ y x) x)
0.4b
(/ 1 (/ (+ y x) x))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
92×*-un-lft-identity
60×add-sqr-sqrt add-cube-cbrt
19×associate-/r*
16×distribute-lft-out
15×add-exp-log
add-cbrt-cube
div-exp
associate-/l*
div-inv
cbrt-undiv
pow1
rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
pow-flip flip3-+ associate-/r/ flip-+ inv-pow
Counts
2 → 121
Calls
2 calls:
6.0ms
(/ (+ y x) x)
9.0ms
(/ 1 (/ (+ y x) x))

series11.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ (+ y x) x)
7.0ms
(/ 1 (/ (+ y x) x))

simplify29.1s

Counts
127 → 127
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
022
151
done51
078
1108
2148
3168
4177
done177
067
1107
2127
3167
4187
5197
done197
089
1158
2288
3477
4767
51027
61117
71277
done1277
078
1137
2217
3347
4607
5907
6957
71017
81167
done1167
0910
1189
2268
3517
4807
51077
61167
71337
done1337
089
1168
2217
3387
4647
5947
61007
71067
81237
done1237
078
1167
2257
3396
4556
5916
61216
71256
81316
91486
done1486
078
1128
2178
3246
4326
5576
61266
72726
87766
927346
done50016
01223
14119
212611
33989
411289
526957
done50007
01023
12719
2799
32439
46109
513977
645067
done50017
0817
11317
21617
31713
done1713
078
1128
2158
3166
done166
0823
12023
2589
32417
45467
58637
616597
746357
done50007
078
1128
2158
3166
done166
078
1128
2158
3166
done166
022
151
done51
056
186
2126
3146
4206
5265
6285
done285
01019
11917
22815
33415
done3415
089
1118
done118
0912
11410
2168
3178
done178
089
1118
done118
01221
12519
26117
313315
418215
done18215
0910
1149
2179
3187
4317
5367
done367
01118
12016
23814
37112
49312
done9312
0910
1149
2179
3187
4317
5367
done367
01017
11911
23311
34211
done4211
089
1138
2168
3176
done176
01116
12014
23512
35510
45810
done5810
0910
1149
2179
3187
4317
5367
done367
01013
11711
2269
3347
4357
done357
0910
1149
2179
3187
4317
5367
done367
0912
1166
2216
done216
089
1138
2168
3176
done176
0813
11611
2317
3475
4555
5565
done565
089
1138
2168
3176
4306
5356
done356
0710
1138
2224
3292
done292
089
1138
2168
3176
4306
5356
done356
059
1111
done111
078
1127
2157
3165
done165
0813
11611
2317
3475
4555
5565
done565
089
1138
2168
3176
4306
5356
done356
0710
1138
2224
3292
done292
089
1138
2168
3176
4306
5356
done356
059
1111
done111
078
1127
2157
3165
done165
047
183
2121
done121
078
1127
2157
3165
done165
079
1127
2145
3155
done155
056
195
2123
3171
4181
done181
0916
11415
done1415
089
1118
done118
089
1118
done118
089
1118
done118
01118
12217
24317
37215
413215
520315
done20315
0910
1149
2179
3187
4317
5367
done367
01015
11714
22514
33812
46512
510512
done10512
0910
1149
2179
3187
4317
5367
done367
0914
11611
22711
33611
done3611
089
1138
2168
3176
done176
01013
11712
22412
33210
45610
57510
done7510
0910
1149
2179
3187
4317
5367
done367
0910
1149
2179
3187
4317
5367
done367
0910
1149
2179
3187
4317
5367
done367
089
1136
2186
done186
089
1138
2168
3176
done176
0710
1139
2207
3295
4425
5445
done445
089
1138
2168
3176
4306
5356
done356
067
1106
2134
3182
4222
done222
089
1138
2168
3176
4306
5356
done356
046
181
done81
078
1127
2157
3165
done165
0710
1139
2207
3295
4425
5445
done445
089
1138
2168
3176
4306
5356
done356
067
1106
2134
3182
4222
done222
089
1138
2168
3176
4306
5356
done356
046
181
done81
078
1127
2157
3165
done165
034
151
done51
078
1127
2157
3165
done165
066
195
done95
056
195
2123
3171
4181
done181
0815
11315
done1315
078
1108
done108
078
1108
done108
078
1108
done108
01017
12117
24217
37315
413315
520815
done20815
089
1139
2169
3177
4307
5357
done357
0914
11614
22414
33712
46412
59712
done9712
089
1139
2169
3177
4307
5357
done357
0813
11511
22611
33511
done3511
078
1128
2158
3166
done166
0912
11612
22312
33110
45510
57210
done7210
089
1139
2169
3177
4307
5357
done357
089
1139
2169
3177
4307
5357
done357
089
1139
2169
3177
4307
5357
done357
078
1126
2176
done176
078
1128
2158
3166
done166
069
1125
2215
3345
4435
5445
done445
078
1128
2158
3166
4296
5346
done346
056
192
2142
3162
4172
done172
078
1128
2158
3166
4296
5346
done346
035
161
done61
067
1117
2147
3155
done155
069
1125
2215
3345
4435
5445
done445
078
1128
2158
3166
4296
5346
done346
056
192
2142
3162
4172
done172
078
1128
2158
3166
4296
5346
done346
035
161
done61
067
1117
2147
3155
done155
023
141
done41
067
1117
2147
3155
done155
055
185
done85
045
181
done81
067
1117
2147
3155
done155
067
1115
2185
done185
0815
11315
done1315
078
1108
done108
01017
12117
24217
37315
413315
520815
done20815
0914
11614
22414
33712
46412
59712
done9712
0813
11511
22611
33511
done3511
0912
11612
22312
33110
45510
57210
done7210
089
1139
2169
3177
4307
5357
done357
078
1126
2176
done176
069
1125
2215
3345
4435
5445
done445
056
192
2142
3162
4172
done172
035
161
done61
069
1125
2215
3345
4435
5445
done445
056
192
2142
3162
4172
done172
035
161
done61
023
141
done41
055
185
done85
078
1127
2157
done155
078
1127
2157
done155
067
1115
2185
done185
055
185
done85
067
197
2107
done107
056
196
2116
3126
done126
056
166
done66
0817
13017
2919
32327
46157
516827
644397
done50007
0613
1713
done713
056
166
done66
0617
11417
2467
31187
42937
55847
612357
done50017
056
166
done66
056
166
done66
044
184
2104
3114
done114
022
done22
0815
11515
22415
33015
done3015
067
177
done77
0712
11012
21212
31312
done1312
067
177
done77
0711
1129
2189
3239
done239
056
166
done66
0710
11010
done1010
067
177
done77
067
177
done77
067
177
done77
066
194
2114
done114
056
166
done66
057
197
done97
056
166
done66
044
164
done64
056
166
done66
023
141
done41
045
155
done55
057
197
done97
056
166
done66
044
164
done64
056
166
done66
023
141
done41
045
155
done55
033
153
done53
045
155
done55
069
199
done99
056
166
done66
055
183
2103
done103
056
166
done66
056
166
done66
045
155
done55
045
155
done55
0813
12311
24811
38911
413511
518411
624511
732711
858711
9109611
10356411
done500011
045
175
2145
3175
4185
done185
011
done11
011
done11
011
done11
055
185
done85
055
185
done85
055
185
done85

prune80.0ms

Filtered
66 candidates to 127 candidates (-92.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1261127
Fresh011
Picked101
Done011
Total1273130

Merged error: 0b

Counts
130 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- -1 (/ y x))
0.4b
(/ -1 (- -1 (/ y x)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
23×*-un-lft-identity times-frac
13×add-cube-cbrt
10×difference-of-squares
associate-/r*
distribute-lft-out--
add-exp-log add-cbrt-cube add-log-exp
associate-/l*
pow1 flip3-- associate-/r/ flip--
cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 56
Calls
2 calls:
7.0ms
(- -1 (/ y x))
9.0ms
(/ -1 (- -1 (/ y x)))

series9.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(- -1 (/ y x))
5.0ms
(/ -1 (- -1 (/ y x)))

simplify31.9s

Counts
62 → 62
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
089
1129
2169
done169
078
1128
2178
3188
done188
078
198
2128
done128
01023
12319
2559
31319
44019
514829
done50009
0817
11017
21317
done1317
078
198
2128
done128
0823
11723
2389
3889
42559
56319
617839
done50019
078
198
2128
done128
078
198
2128
done128
022
131
251
done51
066
186
2156
3215
4235
done235
01019
11819
23019
33619
done3619
089
1109
2139
done139
0912
11312
21812
31912
done1912
089
1109
2139
done139
057
195
2155
3205
done205
078
198
2128
done128
01013
11313
21513
31613
done1613
0910
11110
21210
done1210
01114
11414
21614
31714
done1714
01011
11211
21511
done1511
057
195
2155
3205
done205
078
198
2128
done128
0916
11316
21616
done1616
089
1109
2139
done139
089
1109
2139
done139
089
1109
2139
done139
044
162
282
done82
078
198
2128
done128
0810
1910
done910
0810
11010
21110
done1110
0911
11011
done1011
0911
11111
21411
done1411
044
162
282
done82
078
198
2128
done128
0915
11515
21815
done1815
078
198
2128
done128
088
1128
2158
done158
078
198
2128
done128
023
141
done41
067
187
2117
done117
099
1129
done129
089
1109
2119
done119
01010
11310
done1310
0910
11110
21410
done1410
023
141
done41
067
187
2117
done117
077
1117
2147
done147
067
1127
2217
3286
4326
done326
0815
11215
21515
done1515
078
198
2128
done128
033
151
done51
089
199
done99
0910
11010
done1010
033
151
done51
078
1128
2198
3258
4298
done298
078
1128
2198
3258
4298
done298
067
1127
2217
3286
4326
done326
0911
1289
2689
31689
45199
517279
done50009
0813
11911
23811
37411
413011
521811
639211
7101611
8342711
done500111
077
196
2116
3166
4196
5256
6296
7456
8496
9546
10596
11706
12786
13826
14876
15906
161016
171266
181296
done1296
066
186
2116
done116
066
1116
2166
3196
4256
5296
6456
7516
8566
9616
10736
11816
12856
13906
14936
151046
161296
171336
done1336
0713
1913
21213
done1213
066
186
2116
done116
0717
11017
2277
3817
42617
59457
643687
done50007
066
186
2116
done116
066
186
2116
done116
089
1277
2677
31677
45187
517157
done50007
0917
12511
24911
36811
48611
510011
613211
723111
848111
9110511
10181911
11190411
done190411
044
164
done64
0711
1189
2359
3699
41259
52139
63879
710059
833999
done50009
055
165
done65
077
187
done87
077
197
2107
done107
088
198
done98
088
1108
2138
done138
055
175
2105
done105
044
164
done64
011
done11
011
done11
011
done11
066
1136
2166
3175
done175
066
1136
2166
3175
done175
066
1136
2166
3175
done175

prune85.0ms

Filtered
47 candidates to 62 candidates (-31.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New62062
Fresh011
Picked011
Done011
Total62365

Merged error: 0b

Counts
65 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ y x))
0.1b
(/ 1 (sqrt (+ y x)))
0.2b
(* (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))))
0.2b
(/ x (sqrt (+ y x)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
112×add-sqr-sqrt
106×times-frac
101×*-un-lft-identity
71×sqrt-prod
65×add-cube-cbrt
32×add-exp-log
27×associate-*r* associate-*l*
20×add-cbrt-cube
15×distribute-lft-out unswap-sqr
14×associate-/r*
11×div-exp
10×sqrt-div
pow1
prod-exp associate-/r/
cbrt-undiv associate-/l*
flip3-+ flip-+
cbrt-unprod div-inv add-log-exp
rec-exp pow-flip 1-exp
frac-2neg sqrt-pow1 pow1/2 clear-num
frac-times rem-sqrt-square associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
4 → 205
Calls
4 calls:
3.0ms
(sqrt (+ y x))
7.0ms
(/ 1 (sqrt (+ y x)))
33.0ms
(* (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))))
7.0ms
(/ x (sqrt (+ y x)))

series50.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(sqrt (+ y x))
15.0ms
(/ 1 (sqrt (+ y x)))
14.0ms
(* (/ 1 (sqrt (+ y x))) (/ x (sqrt (+ y x))))
14.0ms
(/ x (sqrt (+ y x)))

simplify2.1min

Counts
217 → 217
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
078
1108
2118
done118
067
1107
2127
3137
done137
067
177
done77
0920
11914
26010
31278
42148
53438
68128
734278
done50008
0715
1815
done815
067
177
done77
0720
11520
2318
3698
41368
52258
63598
78698
836338
done50008
067
177
done77
067
177
done77
022
done22
055
165
done65
0917
11617
22517
33117
done3117
078
188
done88
0916
11311
21511
31611
done1611
078
188
done88
0811
11111
21311
31411
done1411
078
188
done88
068
1107
2127
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067
177
done77
068
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4205
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177
done77
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078
188
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057
195
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177
done77
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078
188
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188
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188
done88
055
174
done74
067
177
done77
055
174
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067
177
done77
078
188
done88
078
188
done88
044
162
282
done82
067
177
done77
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11313
done1313
067
177
done77
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1127
done127
067
177
done77
077
1107
done107
067
177
done77
034
153
done53
056
166
done66
034
153
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056
166
done66
077
1107
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067
177
done77
023
141
done41
056
166
done66
066
196
done96
056
166
done66
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done1013
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197
done97
067
177
done77
044
163
done63
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163
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177
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151
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177
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166
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740426
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done500010
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13731
211715
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360615
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539677
done50017
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11829
22625
36725
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511613
done11613
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12841
210313
339513
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528227
done50017
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033
161
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059
163
273
done73
01015
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01015
11415
done1415
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22016
32416
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32416
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done2516
01116
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32416
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done2516
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32416
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done2516
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22015
32213
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done3613
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32213
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done3613
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5947
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done3713
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done3713
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done1157
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done1157
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done1157
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done1157
01022
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done31216
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done1377
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616713
done16713
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1179
2307
3747
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12020
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done5412
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done5412
0810
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2206
3276
done276
078
1136
done136
078
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done166
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done500115
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done2314
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11814
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510512
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done12112
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done11112
01015
11814
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done12112
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done915
0914
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4735
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done915
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done12112
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4735
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done915
01015
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done12112
01115
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01015
11814
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34412
47412
510512
612012
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done12112
0914
11713
22513
33711
4735
5895
6915
done915
0914
11713
22513
33711
4735
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6915
done915
01015
11814
22714
34412
47412
510512
612012
712112
done12112
0914
11713
22513
33711
4735
5895
6915
done915
0914
11714
22612
36512
410012
513112
614412
done14412
01014
11814
22712
36612
49912
513012
614312
done14312
0914
11714
22612
36512
410012
513112
614412
done14412
0813
11613
22411
36511
41045
51085
done1085
0813
11613
22411
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41045
51085
done1085
0914
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22612
36512
410012
513112
614412
done14412
0813
11613
22411
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51085
done1085
0813
11613
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done1085
0813
11613
22411
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41045
51085
done1085
01219
12417
24217
35917
48017
510117
611817
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818417
924617
1024717
done24717
0811
11411
21811
32211
42311
done2311
078
1138
2166
done166
078
1136
2236
3256
4286
5306
done306
022
131
done31
022
151
done51
044
1102
2111
done111
066
176
done76
077
1106
2146
3166
4226
5276
done276
088
1137
2146
3206
4266
5316
done316
077
1146
2156
3196
4216
5276
6326
done326
077
1107
done107
01020
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2428
3678
41038
51318
62108
74418
813988
done50008
0815
11115
done1115
077
1107
done107
0820
11820
2348
3718
4878
51248
61898
73668
88708
929608
done50008
077
1107
done107
077
1107
done107
022
151
done51
055
165
done65
01017
11915
22813
33413
done3413
088
1117
done117
01016
1169
2187
3197
done197
088
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done117
0911
1149
2167
3177
done177
088
1117
done117
058
195
2103
3131
done131
077
1106
done106
058
195
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077
1106
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0911
1149
2167
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088
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151
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151
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077
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034
153
done53
066
196
done96
034
153
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066
196
done96
077
1107
done107
077
1107
done107
023
141
done41
066
196
done96
066
196
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066
194
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0812
1127
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077
1107
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034
153
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034
153
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077
1107
done107
023
141
done41
077
1106
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077
1106
done106
066
194
2114
done114
0910
12510
23410
35110
49410
520210
660310
7242010
done500010
0810
11510
22210
33710
46210
510310
616510
733310
8162410
done500010
055
165
done65
055
165
done65
0611
1711
done711
055
165
done65
0614
188
2196
3246
4306
5406
6616
71266
83396
912626
done50006
0610
185
done85
055
165
done65
055
165
done65
055
165
done65
022
141
done41
044
154
done54
022
141
done41
044
154
done54
078
1218
2308
3478
4888
52088
66138
724418
done50008
0812
11610
23110
34410
46410
58510
610210
712510
816810
923010
1023110
done23110
068
1118
2188
3338
4588
5998
61578
73258
815708
done50008
044
164
274
done74
033
161
done61
055
165
done65
055
165
done65
01521
14319
214019
343317
4148915
5422013
done500013
01317
13717
210217
323117
462317
5236217
done500017
0811
12111
24111
38111
417411
545111
6153111
done500111
011
done11
011
done11
01321
13221
29821
321721
462417
5240117
done500017
01115
12915
28915
326811
478411
5197811
done500011
01521
14321
214021
343121
4169921
done500121
01215
13015
27215
321715
479115
5364315
done500015
01619
14219
212319
335917
4127417
5341715
done500115
01419
14019
213619
344819
4193315
done500015
01419
14019
213619
344819
4193315
done500015

prune167.0ms

Filtered
128 candidates to 217 candidates (-69.5%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2170217
Fresh000
Picked011
Done022
Total2173220

Merged error: 0b

Counts
220 → 3

regimes112.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
155
done55

end0.0ms

sample421.0ms

Algorithm
intervals
Results
165.0ms8000×body80valid

Profiling

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