Details

Time bar (total: 3.5min)

sample52.0ms

Algorithm
intervals
Results
31.0ms343×body80valid

simplify13.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
067
1117
2127
done127

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (* y z) z))
0.2b
(* (* y z) z)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-log-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
3.0ms
(+ x (* (* y z) z))
7.0ms
(* (* y z) z)

series33.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(+ x (* (* y z) z))
16.0ms
(* (* y z) z)

simplify53.4s

Counts
35 → 35
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
045
185
295
done95
045
185
295
done95
068
1108
2137
3147
done147
067
1107
2137
3167
4177
done177
056
1126
2196
3236
4256
5266
done266
056
1116
2226
3406
4846
51946
64756
713036
done50006
0817
12017
27711
32197
44547
512017
640187
done50017
0817
12417
2899
32709
44517
510257
630817
done50017
0613
11013
21113
done1113
056
196
2106
done106
0617
11917
2727
32117
43617
55327
613557
744897
done50007
056
196
2106
done106
056
196
2106
done106
069
1129
2259
3379
done379
056
196
2156
done156
055
1113
2233
3273
done273
023
done23
089
1178
2298
3518
41118
52698
66848
720198
done50008
078
1128
2138
done138
078
1158
2238
3378
4778
51808
64448
712008
841678
done50008
0817
11317
21417
done1417
078
1128
2138
done138
0823
12623
2839
33289
49859
524379
done50019
078
1128
2138
done138
078
1128
2138
done138
0911
13011
28411
326211
461311
5200411
done500011
01023
13017
29917
323717
436317
539317
645117
764917
8155817
done500017
0815
12315
27515
321615
440513
559411
681411
7139611
8394011
done500111
067
1127
2247
3377
done377
055
1115
2275
3325
4385
5485
6705
71295
83465
912725
done50005
055
1115
2275
3325
4385
5485
6705
71295
83465
912725
done50005
055
1115
2275
3325
4385
5485
6705
71295
83465
912725
done50005
011
done11
077
1147
2307
3377
4437
5537
6757
71377
83477
912827
done50007
077
1147
2307
3377
4437
5537
6757
71377
83477
912827
done50007

prune63.0ms

Filtered
27 candidates to 35 candidates (-29.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New31435
Fresh000
Picked011
Done000
Total31536

Merged error: 0.0b

Counts
36 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
7.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series113.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (cbrt z) (cbrt z))
31.0ms
(cbrt z)
25.0ms
(cbrt z)
28.0ms
(cbrt z)

simplify51.4s

Counts
85 → 85
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
033
done33
033
done33
046
done46
033
done33
033
done33
033
done33
022
141
done41
022
done22
047
done47
033
done33
048
158
274
3121
4161
5221
6321
7551
81221
93331
1012721
done50001
033
done33
033
done33
033
done33
033
done33
046
done46
033
done33
033
done33
033
done33
022
141
done41
022
done22
047
done47
033
done33
048
158
274
3121
4161
5221
6321
7551
81221
93331
1012721
done50001
033
done33
033
done33
033
done33
033
done33
046
done46
033
done33
033
done33
033
done33
022
141
done41
022
done22
047
done47
033
done33
048
158
274
3121
4161
5221
6321
7551
81221
93331
1012721
done50001
033
done33
033
done33
023
151
done51
023
161
done61
023
done23
035
done35
023
161
done61
047
165
275
done75
046
166
285
395
done95
046
166
2106
3156
4336
5736
61776
75606
822476
done50006
023
done23
0513
done513
046
done46
0517
11317
2207
3343
4533
5873
61513
73353
88323
932263
done50003
046
153
done53
046
153
done53
0513
done513
047
done47
047
done47
047
done47
035
153
done51
035
done35
0515
1915
2119
3205
4355
5615
61315
73485
812555
done50015
047
done47
047
done42
047
done42
023
141
done41
035
done35
047
done47
047
done47
067
177
done77
067
177
done77
067
177
done77
067
177
done77
047
done42
047
done42
033
151
done51
033
161
done61
059
169
done69
056
166
done66
055
184
done84
0510
1810
21010
done1010
046
156
done56
044
172
2102
done102
046
156
done56
056
166
done66
035
done35
046
156
done56
046
156
done56
035
done35
088
1207
2285
3502
4872
51742
63602
79112
830822
done50002
0910
1198
2355
3722
41262
52642
65682
716352
done50002
01213
12312
24011
39510
42279
55467
612046
734602
done50002
088
1207
2285
3502
4872
51742
63602
79112
830822
done50002
0910
1198
2355
3722
41262
52642
65682
716352
done50002
01213
12312
24011
39510
42279
55467
612046
734602
done50002
088
1207
2285
3502
4872
51742
63602
79112
830822
done50002
0910
1198
2355
3722
41262
52642
65682
716352
done50002
01213
12312
24011
39510
42279
55467
612046
734602
done50002
01010
1239
2395
3793
41563
53143
68873
729593
done50003
01112
12210
2468
31315
42863
56173
619803
done50013
01517
13116
26614
318911
454810
5214510
done50019

prune95.0ms

Filtered
52 candidates to 85 candidates (-63.5%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New80585
Fresh033
Picked101
Done011
Total81990

Merged error: 0.0b

Counts
90 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
19.7b
(cbrt (* (* y z) z))
19.7b
(cbrt (* (* y z) z))
19.7b
(cbrt (* (* y z) z))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
pow1/3
add-cube-cbrt *-un-lft-identity
cbrt-prod
add-exp-log
swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
7.0ms
(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
5.0ms
(cbrt (* (* y z) z))
4.0ms
(cbrt (* (* y z) z))
5.0ms
(cbrt (* (* y z) z))

series107.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
24.0ms
(cbrt (* (* y z) z))
24.0ms
(cbrt (* (* y z) z))
28.0ms
(cbrt (* (* y z) z))

simplify55.1s

Counts
70 → 70
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
067
1107
2117
done117
067
1107
2117
done117
044
154
done54
022
done22
0715
11115
21215
done1215
067
1107
2117
done117
0720
11220
2158
3205
4265
5365
6575
71195
83265
912445
done50005
067
1107
2117
done117
067
1107
2117
done117
067
1107
2117
done117
067
1107
2117
done117
044
154
done54
022
done22
0715
11115
21215
done1215
067
1107
2117
done117
0720
11220
2158
3205
4265
5365
6575
71195
83265
912445
done50005
067
1107
2117
done117
067
1107
2117
done117
067
1107
2117
done117
067
1107
2117
done117
044
154
done54
022
done22
0715
11115
21215
done1215
067
1107
2117
done117
0720
11220
2158
3205
4265
5365
6575
71195
83265
912445
done50005
067
1107
2117
done117
067
1107
2117
done117
023
151
done51
023
161
done61
0511
11511
24511
37711
4819
5907
61237
72277
85137
915097
done50007
0613
11013
21113
done1113
023
161
done61
0715
1139
2159
done159
0714
11314
2169
3179
done179
0714
11314
21814
32314
44114
58114
618914
756614
8222814
done500014
0511
11511
24511
37711
4819
5907
61237
72277
85137
915097
done50007
0829
11229
21329
done1329
0714
11114
21214
done1214
0841
12041
22815
3428
41318
53628
67598
724047
done50007
0714
1127
2137
done137
0714
1127
2137
done137
059
169
done69
035
done35
0831
11631
22117
3309
4459
5719
61459
73599
812759
done50009
0715
11115
21215
done1215
0715
1116
2136
done136
0715
1116
2136
done136
023
141
done41
0613
11013
21113
done1113
0715
1116
2136
done136
0715
1116
2136
done136
033
151
done51
033
161
done61
0711
11211
21311
done1311
0822
11522
21822
done1822
0714
11214
21314
done1314
078
1146
2186
done186
079
1129
2139
done139
0714
11214
21314
done1314
0714
11214
21314
done1314
0613
11013
21113
done1113
01313
12912
25610
31169
41986
54206
611846
736606
done50016
01517
13214
26512
31879
43906
57656
616426
744886
done50006
01820
13519
26518
318616
458513
5181313
done500010
01313
12912
25610
31169
41986
54206
611846
736606
done50016
01517
13214
26512
31879
43906
57656
616426
744886
done50006
01820
13519
26518
318616
458513
5181313
done500010
01313
12912
25610
31169
41986
54206
611846
736606
done50016
01517
13214
26512
31879
43906
57656
616426
744886
done50006
01820
13519
26518
318616
458513
5181313
done500010
01515
13214
26812
31399
42417
55517
619157
done50017
01719
13516
26515
317411
44848
59527
624277
done50007
02124
14323
28122
321920
467417
5249416
done500016

prune104.0ms

Filtered
55 candidates to 70 candidates (-27.3%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New70070
Fresh077
Picked011
Done011
Total70979

Merged error: 0.0b

Counts
79 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt z)
2.0ms
(cbrt z)
2.0ms
(cbrt z)
2.0ms
(cbrt z)

series108.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt z)
27.0ms
(cbrt z)
29.0ms
(cbrt z)
27.0ms
(cbrt z)

simplify48.4s

Counts
56 → 56
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
033
done33
033
done33
046
done46
033
done33
033
done33
033
done33
022
141
done41
022
done22
047
done47
033
done33
048
158
274
3121
4161
5221
6321
7551
81221
93331
1012721
done50001
033
done33
033
done33
033
done33
033
done33
046
done46
033
done33
033
done33
033
done33
022
141
done41
022
done22
047
done47
033
done33
048
158
274
3121
4161
5221
6321
7551
81221
93331
1012721
done50001
033
done33
033
done33
033
done33
033
done33
046
done46
033
done33
033
done33
033
done33
022
141
done41
022
done22
047
done47
033
done33
048
158
274
3121
4161
5221
6321
7551
81221
93331
1012721
done50001
033
done33
033
done33
033
done33
033
done33
046
done46
033
done33
033
done33
033
done33
022
141
done41
022
done22
047
done47
033
done33
048
158
274
3121
4161
5221
6321
7551
81221
93331
1012721
done50001
033
done33
033
done33
088
1207
2285
3502
4872
51742
63602
79112
830822
done50002
0910
1198
2355
3722
41262
52642
65682
716352
done50002
01213
12312
24011
39510
42279
55467
612046
734602
done50002
088
1207
2285
3502
4872
51742
63602
79112
830822
done50002
0910
1198
2355
3722
41262
52642
65682
716352
done50002
01213
12312
24011
39510
42279
55467
612046
734602
done50002
088
1207
2285
3502
4872
51742
63602
79112
830822
done50002
0910
1198
2355
3722
41262
52642
65682
716352
done50002
01213
12312
24011
39510
42279
55467
612046
734602
done50002
088
1207
2285
3502
4872
51742
63602
79112
830822
done50002
0910
1198
2355
3722
41262
52642
65682
716352
done50002
01213
12312
24011
39510
42279
55467
612046
734602
done50002

prune55.0ms

Filtered
36 candidates to 56 candidates (-55.6%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New56056
Fresh066
Picked011
Done022
Total56965

Merged error: 0.0b

Counts
65 → 9

regimes348.0ms

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
197
done97

end0.0ms

sample717.0ms

Algorithm
intervals
Results
292.0ms10671×body80valid

Profiling

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