Details

Time bar (total: 2.4min)

sample22.0ms

Algorithm
intervals
Results
9.0ms344×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1107
2117
done117

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.9b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

13.2b
(/ x (* y y))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/l*
cbrt-undiv div-exp
pow1 frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv add-log-exp
Counts
1 → 21
Calls
1 calls:
5.0ms
(/ x (* y y))

series6.0ms

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

simplify20.9s

Counts
24 → 24
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
068
1127
2227
3297
4357
5447
6577
7737
8767
done767
067
1107
2177
3277
4357
5437
6557
7697
8847
done847
056
1106
2166
3246
4366
5446
6536
7666
8826
9856
done856
056
176
done76
0817
12317
29011
33237
47467
518497
done50007
0817
12417
2939
33397
48067
519267
done50007
0613
1813
done813
056
176
done76
0617
11517
2527
31887
45127
58507
619777
done50007
056
176
done76
056
176
done76
022
done22
034
164
done64
057
177
297
3107
done107
044
done44
044
done44
044
done44
033
153
done53
033
done33
045
185
done85
045
165
285
395
done95
033
done33
056
176
296
3106
done106
056
176
296
3106
done106
045
165
285
395
done95
055
1105
2225
3275
4335
5435
6655
71245
83495
912705
done50005
055
1105
2225
3275
4335
5435
6655
71245
83495
912705
done50005
055
1105
2225
3275
4335
5435
6655
71245
83495
912705
done50005

prune56.0ms

Filtered
20 candidates to 24 candidates (-20.0%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New18624
Fresh000
Picked101
Done000
Total19625

Merged error: 0.0b

Counts
25 → 6

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (/ x y) y)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×associate-/l*
add-exp-log add-cbrt-cube
div-inv
cbrt-undiv div-exp associate-/r*
pow1 frac-2neg clear-num associate-/l/ add-log-exp
Counts
1 → 70
Calls
1 calls:
7.0ms
(/ (/ x y) y)

series6.0ms

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

simplify27.3s

Counts
73 → 73
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
068
1118
2237
3357
4447
5537
6677
7777
8807
done807
067
1107
2167
3297
4427
5497
6597
7677
8777
9807
done807
056
1106
2166
3246
4366
5476
6546
7646
8726
9826
10856
done856
056
176
done76
0817
12117
29111
33277
47827
519087
done50007
0817
12317
2789
32657
46557
514597
647337
done50007
0613
1813
done813
056
176
done76
0617
11517
2467
31417
44267
58157
618347
done50017
056
176
done76
056
176
done76
044
164
done64
022
done22
0815
11415
22315
32915
done2915
067
done67
0712
1912
21112
31212
done1212
067
done67
0711
1119
2179
3229
done229
056
done56
0710
1910
done910
067
done67
067
done67
067
done67
066
184
2104
done104
056
done56
0817
11817
24617
38913
411310
512210
613910
719210
838610
995910
10318210
done500010
068
188
done88
0914
11714
24014
37714
411814
512314
done12314
078
198
2128
done128
0913
11911
24611
39511
412511
done12511
067
187
2117
done117
0914
11514
23114
36714
410914
511914
done11914
078
198
2128
done128
0711
11111
2187
3237
4287
5297
done297
068
188
done84
0810
1148
2298
3468
4568
done568
067
187
2117
done117
0913
11711
24611
310311
412111
done12111
067
187
2117
done117
0810
1148
2348
3568
4578
done578
067
187
2117
done117
069
1125
2165
3215
done215
056
176
done76
0714
11314
22014
32410
4337
5427
6557
7857
81657
93417
1011227
done50007
068
188
done88
0811
11211
21811
32611
done2611
078
198
2128
done128
0810
1148
2248
3408
done408
067
187
2117
done117
0811
11211
21811
32411
done2411
078
198
2128
done128
068
188
done84
068
188
done84
077
1115
2185
3205
done205
067
187
2117
done117
0810
1148
2238
3318
done318
067
187
2117
done117
077
1115
2175
done175
067
187
2117
done117
056
192
done92
056
176
done76
0613
11413
22113
3239
4316
5386
6516
7816
81606
93406
1011276
done50016
057
177
done77
0710
11310
21910
32710
done2710
067
187
2117
done117
069
1127
2227
3327
done327
056
176
2106
done106
0710
11310
21910
32510
done2510
067
187
2117
done117
057
197
done93
057
177
done73
056
194
2164
done164
056
176
2106
done106
069
1127
2167
3267
4287
done287
056
176
2106
done106
056
194
2114
3154
done154
056
176
2106
done106
035
171
done71
045
165
done65
057
197
done97
056
176
2106
done106
044
164
done64
056
176
2106
done106
023
141
done41
045
165
done65
057
177
done77
056
196
2126
done126
044
done44
056
196
2126
done126
033
151
done51
045
185
done85
033
153
done53
045
165
295
done95
069
1109
2169
3229
done229
056
176
2106
done106
055
193
2163
done163
056
done56
056
done56
067
187
2117
3127
4147
5167
6177
done177
067
187
2117
3127
4147
5167
6177
done177
056
176
2106
done106
067
187
2117
3127
4147
5167
6177
done177
067
187
2117
3127
4147
5167
6177
done177
056
176
2106
done106
056
176
2106
3116
4136
5156
6166
done166
056
176
2106
3116
4136
5156
6166
done166
045
165
295
done95
045
165
295
done95
045
185
2113
done113
023
done23
055
1105
2225
3275
4335
5435
6655
71245
83495
912705
done50005
055
1105
2225
3275
4335
5435
6655
71245
83495
912705
done50005
055
1105
2225
3275
4335
5435
6655
71245
83495
912705
done50005

prune93.0ms

Filtered
61 candidates to 73 candidates (-19.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New71273
Fresh055
Picked011
Done000
Total71879

Merged error: 0b

Counts
79 → 8

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (/ 1 y) (/ x y))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
25×times-frac
23×add-exp-log
17×*-un-lft-identity
15×add-cube-cbrt
13×associate-*r* associate-*l* add-cbrt-cube
div-exp prod-exp
unswap-sqr
cbrt-undiv cbrt-unprod
pow1
rec-exp 1-exp div-inv
frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative add-log-exp
Counts
1 → 56
Calls
1 calls:
12.0ms
(* (/ 1 y) (/ x y))

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(* (/ 1 y) (/ x y))

simplify48.5s

Counts
59 → 59
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
067
1137
2215
3625
41055
51075
done1075
079
1119
2158
3268
4357
5447
6587
7687
8717
done717
078
1108
2167
3267
4387
5467
6567
7647
8747
9777
done777
0810
1169
2408
31038
42117
52737
62877
done2877
089
1158
2357
3777
41987
52857
63047
done3047
0911
11910
2418
31038
42407
53327
63487
done3487
0910
1189
2358
3797
41977
52747
62907
73057
done3057
0910
1189
2318
3798
41517
52067
62247
done2247
089
1178
2287
3607
41367
51987
62537
done2537
078
1178
2336
3926
41876
53046
63776
74366
done4366
078
1168
2306
3966
42096
53936
610446
739776
done50006
01223
13519
213311
38299
430247
done50007
01223
13419
21059
34449
417669
542137
done50017
01223
13523
213713
35959
421789
done50009
01023
13123
210411
336511
412927
541457
done50017
0817
11517
22313
36413
410513
510813
done10813
078
1148
2226
3636
41056
51076
done1076
0823
12523
21047
33977
411127
527437
done50017
078
1148
2226
3636
41056
51076
done1076
078
1148
2226
3636
41056
51076
done1076
033
161
done61
023
done23
089
1119
done119
089
1119
done119
0910
11410
21710
32110
42210
done2210
0910
11410
21710
32110
42210
done2210
0910
1149
2179
3197
4337
5357
done357
0910
1149
2179
3197
4337
5357
done357
0911
11610
22410
3368
4864
5944
done944
0911
11610
22410
3368
4864
5944
done944
089
1139
2167
3297
4367
done367
089
1139
2167
3297
4367
done367
0810
11510
2238
3648
41184
51194
done1194
0810
11510
2238
3648
41184
51194
done1194
0813
11513
22311
35111
46411
done6411
078
1128
2156
3286
4336
done336
01015
12315
26413
321613
452513
583613
685813
done85813
0912
11812
23610
311310
423310
530610
632310
done32310
0811
1179
2437
31687
42437
52497
done2497
0912
11812
23710
310910
424510
541810
643210
done43210
089
1159
2247
3637
41147
51537
61627
done1627
078
1146
2274
3714
4954
5994
done994
0711
11611
2349
3799
41279
done1279
068
1138
2226
3416
4506
done506
057
1123
2163
3233
done233
045
193
done93
055
1105
2133
done133
078
1128
2158
3198
4208
done208
078
1128
2158
3198
4208
done208
089
1158
2248
3416
4716
5986
61096
71106
done1106
089
1158
2248
3416
4716
5986
61096
71106
done1106
078
1147
2227
3345
4705
5835
6855
done855
089
1158
2248
3416
4716
5986
61096
71106
done1106
089
1158
2248
3416
4716
5986
61096
71106
done1106
078
1147
2227
3345
4705
5835
6855
done855
078
1148
2236
3626
4906
51216
61366
done1366
078
1148
2236
3626
4906
51216
61366
done1366
067
1137
2215
3625
41055
51075
done1075
067
1137
2215
3625
41055
51075
done1075
067
1137
2215
3625
41055
51075
done1075
055
1105
2133
done133
055
1103
2203
3223
4253
5273
done273
055
1105
2225
3275
4335
5435
6655
71245
83495
912705
done50005
055
1105
2225
3275
4335
5435
6655
71245
83495
912705
done50005
055
1105
2225
3275
4335
5435
6655
71245
83495
912705
done50005

prune69.0ms

Filtered
38 candidates to 59 candidates (-55.3%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New59059
Fresh066
Picked011
Done011
Total59867

Merged error: 0b

Counts
67 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ x y)) (cbrt (/ x y)))
9.7b
(cbrt (/ x y))
9.7b
(cbrt (/ x y))
9.7b
(cbrt (/ x y))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
pow1/3 unswap-sqr
cbrt-div div-inv
add-exp-log
add-cbrt-cube add-log-exp
pow-prod-down pow-sqr pow-prod-up
pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 144
Calls
4 calls:
14.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
3.0ms
(cbrt (/ x y))
3.0ms
(cbrt (/ x y))
3.0ms
(cbrt (/ x y))

series71.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
15.0ms
(cbrt (/ x y))
14.0ms
(cbrt (/ x y))
14.0ms
(cbrt (/ x y))

simplify46.1s

Counts
156 → 156
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
055
done55
055
done55
0610
done610
055
done55
055
done55
055
done55
0812
11412
22312
32912
done2912
066
done66
079
199
2119
3129
done129
066
done66
068
1106
2166
3216
done216
055
done55
079
199
done99
066
done66
066
done66
066
done66
055
173
293
done93
055
done55
068
1108
done108
055
done55
055
175
done75
055
done55
034
151
done51
044
done44
022
141
done41
044
done44
022
done22
044
164
done64
022
done22
022
done22
0611
done611
055
done55
0614
1714
296
3143
4203
5303
6533
71183
83243
912433
done50003
055
done55
055
done55
055
done55
055
done55
0610
done610
055
done55
055
done55
055
done55
0812
11412
22312
32912
done2912
066
done66
079
199
2119
3129
done129
066
done66
068
1106
2166
3216
done216
055
done55
079
199
done99
066
done66
066
done66
066
done66
055
173
293
done93
055
done55
068
1108
done108
055
done55
055
175
done75
055
done55
034
151
done51
044
done44
022
141
done41
044
done44
022
done22
044
164
done64
022
done22
022
done22
0611
done611
055
done55
0614
1714
296
3143
4203
5303
6533
71183
83243
912433
done50003
055
done55
055
done55
055
done55
055
done55
0610
done610
055
done55
055
done55
055
done55
0812
11412
22312
32912
done2912
066
done66
079
199
2119
3129
done129
066
done66
068
1106
2166
3216
done216
055
done55
079
199
done99
066
done66
066
done66
066
done66
055
173
293
done93
055
done55
068
1108
done108
055
done55
055
175
done75
055
done55
034
151
done51
044
done44
022
141
done41
044
done44
022
done22
044
164
done64
022
done22
022
done22
0611
done611
055
done55
0614
1714
296
3143
4203
5303
6533
71183
83243
912433
done50003
055
done55
055
done55
023
151
done51
023
161
done61
047
187
2147
3217
4267
done267
059
done59
023
161
done61
0611
187
297
done97
0610
1810
2107
3117
done117
0610
1810
21210
31710
43510
57510
618110
755210
8224910
done500010
047
187
2147
3217
4267
done267
0721
done721
0610
done610
0729
11529
22411
3386
4846
51956
65046
717646
done50006
0610
175
done75
0610
175
done75
035
done35
035
done35
0721
done721
0611
done611
0611
done611
0611
done611
0925
11525
22425
33025
done3025
0713
done713
0819
11019
21219
31319
done1319
0713
done713
0717
11113
21713
32213
done2213
0611
done611
0819
11019
done1019
0713
done713
0713
done713
0713
done713
0611
187
2107
done107
0611
done611
0717
11117
done1117
0611
done611
0611
1811
done811
0611
done611
049
163
done61
059
done59
035
153
done51
059
done59
035
done35
059
179
done79
0723
11123
21313
3227
4377
5637
61377
73617
812767
done50007
0611
done611
0611
done64
0611
done64
023
141
done41
059
done59
0611
done611
0611
done611
01012
11112
done1112
01012
11112
done1112
0811
1911
done911
0811
1911
done911
01012
11112
done1112
01012
11112
done1112
0713
done713
0713
done713
01012
11112
done1112
01012
11112
done1112
0811
1911
done911
0811
1911
done911
01012
11112
done1112
01012
11112
done1112
0611
done64
0611
done64
033
151
done51
033
161
done61
0715
1815
done815
0710
1810
done810
01117
11817
22717
33317
done3317
01014
11314
21514
31614
done1614
01013
11511
22111
32611
done2611
01014
11314
done1314
0911
11011
done1011
0910
1128
2148
done148
01013
11513
done1513
0910
11210
done1210
089
1116
done116
077
1106
done106
067
177
done77
0716
11016
21216
done1216
0610
1710
done710
066
194
2124
done124
0610
1710
done710
0710
1810
done810
0911
11011
done1011
0911
11011
done1011
0810
1910
done910
0911
11011
done1011
0911
11011
done1011
0810
1910
done910
0810
1910
done910
0810
1910
done910
059
done59
059
done59
089
1119
done119
0610
1710
done710
0610
1710
done710
059
done59
067
177
done77
067
177
done77
01111
12110
2468
3997
41794
53344
67154
721414
done50014
01315
12912
2609
31607
42816
55424
610754
730934
done50004
01415
12914
26812
320911
45868
514414
636754
done50014
01111
12110
2468
3997
41794
53344
67154
721414
done50014
01315
12912
2609
31607
42816
55424
610754
730934
done50004
01415
12914
26812
320911
45868
514414
636754
done50014
01111
12110
2468
3997
41794
53344
67154
721414
done50014
01315
12912
2609
31607
42816
55424
610754
730934
done50004
01415
12914
26812
320911
45868
514414
636754
done50014
01415
12614
25910
31478
43017
56675
620475
done50005
01619
13416
27712
32059
44808
511155
632875
done50005
01719
13418
27114
318712
451411
516029
done50008

prune149.0ms

Filtered
119 candidates to 156 candidates (-31.1%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1560156
Fresh055
Picked011
Done022
Total1568164

Merged error: 0b

Counts
164 → 8

regimes238.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
done67

end0.0ms

sample631.0ms

Algorithm
intervals
Results
301.0ms10705×body80valid

Profiling

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