Details

Time bar (total: 3.7min)

sample30.0ms

Algorithm
intervals
Results
11.0ms304×body80valid

simplify4.0s

Counts
1 → 1
Iterations

Useful iterations: 3 (12.0ms)

IterNodesCost
089
1169
2407
3985
44115
524465
done50005

prune19.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.3b

Counts
2 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

7.1b
(* x (/ y z))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
add-cube-cbrt *-un-lft-identity
add-exp-log add-cbrt-cube
pow1 associate-*l*
prod-exp cbrt-unprod unswap-sqr
cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
7.0ms
(* x (/ y z))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(* x (/ y z))

simplify20.7s

Counts
35 → 35
Iterations

Useful iterations: 2 (2.0ms)

IterNodesCost
055
185
2115
3155
4165
done165
088
1138
2208
3298
4358
5458
6528
7648
8878
91018
101078
done1078
077
1117
2177
3267
4367
5457
6507
7597
8767
9957
101037
done1037
066
1126
2216
3356
4556
5696
6816
7996
81156
91226
101396
111416
done1416
066
1116
2206
3346
4676
51486
63606
713896
done50006
01117
12617
210411
34449
417009
done50009
0917
12217
2719
32259
47787
524247
done50017
0713
11013
21313
31713
41813
done1813
066
196
2126
3166
4176
done176
0717
12017
2747
32707
48277
525407
done50007
066
196
2126
3166
4176
done176
066
196
2126
3166
4176
done176
077
187
done87
077
187
done87
088
1118
2148
3188
4198
done198
088
1118
2148
3188
4198
done198
0711
11011
21211
done1211
066
176
done76
0913
11813
24713
38613
414213
515813
done15813
0810
11310
22310
33810
45110
55310
done5310
079
1147
2317
3687
4987
done987
0810
11310
22410
33810
45010
done5010
077
1107
2137
3177
4187
done187
066
1114
2184
3274
4334
done334
079
1149
2247
3317
4497
5797
6827
done827
066
1116
2144
3154
4204
5214
done214
045
193
2141
done141
033
161
done61
033
143
done43
066
196
2126
3166
4176
done176
066
196
2126
3166
4176
done176
055
185
2115
3155
4165
done165
033
143
done43
055
185
2125
3155
4165
done165
055
185
2125
3155
4165
done165
055
185
2125
3155
4165
done165

prune82.0ms

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

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New27835
Fresh101
Picked011
Done000
Total28937

Merged error: 0.0b

Counts
37 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
2.0b
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×add-cbrt-cube
12×add-sqr-sqrt
cbrt-prod add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
pow1
associate-*r*
cbrt-undiv div-exp add-log-exp
pow1/3 associate-*l*
times-frac unswap-sqr
associate-*r/ pow-prod-down *-commutative div-inv
Counts
4 → 63
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
13.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

series107.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt y)
25.0ms
(cbrt y)
24.0ms
(cbrt y)
34.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

simplify1.3min

Counts
75 → 75
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
0913
11813
24713
38613
414213
515813
done15813
01218
12414
25812
311212
421412
539712
664812
777712
879812
done79812
01217
12315
24714
39612
418312
535112
663312
778412
883812
done83812
01217
12315
25414
311112
419712
536512
657312
783012
886512
986612
done86612
01216
12116
24314
39212
415912
529912
650912
777812
884212
984512
done84512
01115
12115
24615
310111
419611
536511
659111
774811
883211
983611
done83611
01014
12214
26514
315511
433711
559011
692611
7107511
8115411
9115511
done115511
01014
12114
25614
312414
428014
561014
6140414
7496514
done500014
0913
12113
27111
321311
454711
5108111
6193811
7496811
done500011
01227
13327
213215
370711
4321511
done500011
01227
13327
212515
356411
4220211
done500111
01541
14441
223419
3196811
done500111
01341
13241
214917
388617
done500117
01129
12029
24929
38929
414529
516129
done16129
01014
11914
24814
38914
414514
516114
done16114
01141
13041
214015
388215
done500015
01014
11914
24814
38914
414514
516114
done16114
01014
11914
24814
38914
414514
516114
done16114
01115
11815
2289
3349
done349
01115
11815
2289
3349
done349
088
1118
2148
3188
4198
done198
088
1118
2148
3188
4198
done198
01127
12027
23127
33727
done3727
01014
11714
2278
3338
done338
077
1107
2137
3177
4187
done187
033
161
done61
057
187
2107
done107
01014
11914
24814
39014
414614
516214
done16214
01014
11914
24814
39014
414614
516214
done16214
0913
11813
24713
38613
414213
515813
done15813
057
187
2107
done107
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
01617
12916
26014
314211
43049
57019
623887
done50017
01821
13718
28014
321211
450610
512277
637667
done50017
01921
13720
27416
319414
454213
5172111
done500010
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

prune108.0ms

Filtered
54 candidates to 75 candidates (-38.9%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New73275
Fresh167
Picked101
Done011
Total75984

Merged error: 0b

Counts
84 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
3.2b
(sqrt (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
cbrt-prod add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
pow1 sqrt-prod
add-exp-log add-cbrt-cube add-log-exp
pow1/3
rem-sqrt-square times-frac
sqrt-pow1 pow1/2 sqrt-div div-inv
Counts
4 → 50
Calls
4 calls:
2.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
9.0ms
(sqrt (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

series95.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt y)
29.0ms
(cbrt y)
25.0ms
(cbrt y)
16.0ms
(sqrt (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

simplify46.9s

Counts
62 → 62
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
0913
11513
2257
3317
done317
0913
11513
2257
3317
done317
01027
11627
22615
33215
done3215
0913
11513
2257
3317
done317
01038
11724
2468
3908
41538
51878
62118
72768
84818
913948
done50008
01026
11713
22613
33213
done3213
0913
11513
22413
33013
done3013
0913
11513
2257
3317
done317
0913
11513
2257
3317
done317
066
done66
066
done66
022
141
done41
0812
11412
2246
3306
done306
046
153
done53
068
1108
done108
046
153
done53
046
153
done53
033
161
done61
0913
11513
2257
3317
done317
0913
11513
2257
3317
done317
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
01111
12110
2468
3947
41674
53154
67624
722204
done50004
01315
12912
2609
31607
42816
55424
610754
730934
done50004
01415
12914
26812
320911
45868
514414
636754
done50014
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

prune89.0ms

Filtered
43 candidates to 62 candidates (-44.2%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New62062
Fresh077
Picked011
Done011
Total62971

Merged error: 0b

Counts
71 → 9

localize25.0ms

Local error

Found 4 expressions with local error:

2.0b
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
8.9b
(cbrt (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))
8.9b
(cbrt (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))
8.9b
(cbrt (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×add-cbrt-cube
add-sqr-sqrt prod-exp cbrt-unprod
pow1 add-cube-cbrt *-un-lft-identity
associate-*r*
cbrt-undiv associate-*r/ div-exp add-log-exp
cbrt-prod cbrt-div pow1/3 associate-*l*
times-frac unswap-sqr
pow-prod-down *-commutative div-inv
Counts
4 → 60
Calls
4 calls:
14.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
10.0ms
(cbrt (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))
10.0ms
(cbrt (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))
10.0ms
(cbrt (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))

series178.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
47.0ms
(cbrt (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))
46.0ms
(cbrt (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))
52.0ms
(cbrt (* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z)))))

simplify1.2min

Counts
72 → 72
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01115
12015
24915
38915
414515
516115
done16115
01115
12015
24915
38915
414515
516115
done16115
022
done22
0812
11412
22312
32912
done2912
068
198
2118
done118
046
done46
01231
12131
25031
39031
414631
516031
done16031
01115
12015
24915
38915
414515
516115
done16115
01244
12244
25316
39713
415913
518113
620213
726213
847313
9140613
done500013
01115
12015
24915
38915
414515
516115
done16115
01115
12015
24915
38915
414515
516115
done16115
01115
12015
24915
38915
414515
516115
done16115
01115
12015
24915
38915
414515
516115
done16115
022
done22
0812
11412
22312
32912
done2912
068
198
2118
done118
046
done46
01231
12131
25031
39031
414631
516031
done16031
01115
12015
24915
38915
414515
516115
done16115
01244
12244
25316
39713
415913
518113
620213
726213
847313
9140613
done500013
01115
12015
24915
38915
414515
516115
done16115
01115
12015
24915
38915
414515
516115
done16115
01115
12015
24915
38915
414515
516115
done16115
01115
12015
24915
38915
414515
516115
done16115
022
done22
0812
11412
22312
32912
done2912
068
198
2118
done118
046
done46
01231
12131
25031
39031
414631
516031
done16031
01115
12015
24915
38915
414515
516115
done16115
01244
12244
25316
39713
415913
518113
620213
726213
847313
9140613
done500013
01115
12015
24915
38915
414515
516115
done16115
01115
12015
24915
38915
414515
516115
done16115
0913
11813
24713
38613
414213
515813
done15813
01218
12414
25812
311212
421412
539712
664812
777712
879812
done79812
01217
12315
24714
39612
418312
535112
663312
778412
883812
done83812
01217
12315
25414
311112
419712
536512
657312
783012
886512
986612
done86612
01216
12116
24314
39212
415912
529912
650912
777812
884212
984512
done84512
01115
12115
24615
310111
419611
536511
659111
774811
883211
983611
done83611
01014
12214
26514
315511
433711
559011
692611
7107511
8115411
9115511
done115511
01014
12114
25614
312414
428014
561014
6140414
7496514
done500014
0913
12113
27111
321311
454711
5108111
6193811
7496811
done500011
01227
13327
213215
370711
4321511
done500011
01227
13327
212515
356411
4220211
done500111
01541
14441
223419
3196811
done500111
01341
13241
214917
388617
done500117
01129
12029
24929
38929
414529
516129
done16129
01014
11914
24814
38914
414514
516114
done16114
01141
13041
214015
388215
done500015
01014
11914
24814
38914
414514
516114
done16114
01014
11914
24814
38914
414514
516114
done16114
01115
11815
2289
3349
done349
01115
11815
2289
3349
done349
088
1118
2148
3188
4198
done198
088
1118
2148
3188
4198
done198
01127
12027
23127
33727
done3727
01014
11714
2278
3338
done338
077
1107
2137
3177
4187
done187
033
161
done61
057
187
2107
done107
01014
11914
24814
39014
414614
516214
done16214
01014
11914
24814
39014
414614
516214
done16214
0913
11813
24713
38613
414213
515813
done15813
057
187
2107
done107
02124
14621
28717
321113
451910
5157210
done500010
02430
15324
211217
329112
472111
521298
done50008
02733
15531
211625
331223
496321
5381417
done500017
02124
14621
28717
321113
451910
5157210
done500010
02430
15324
211217
329112
472111
521298
done50008
02733
15531
211625
331223
496321
5381417
done500017
02124
14621
28717
321113
451910
5157210
done500010
02430
15324
211217
329112
472111
521298
done50008
02733
15531
211625
331223
496321
5381417
done500017
01617
12916
26014
314211
43049
57019
623887
done50017
01821
13718
28014
321211
450610
512277
637667
done50017
01921
13720
27416
319414
454213
5172111
done500010

prune99.0ms

Filtered
63 candidates to 72 candidates (-14.3%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New72072
Fresh066
Picked011
Done022
Total72981

Merged error: 0b

Counts
81 → 9

regimes443.0ms

Accuracy

0% (2.0b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01427
11727
done1727

end0.0ms

sample894.0ms

Algorithm
intervals
Results
384.0ms9577×body80valid

Profiling

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