Details

Time bar (total: 9.7min)

sample18.0ms

Algorithm
intervals
Results
6.0ms235×body80valid
1.0msbody1280valid
0.0msbody2560valid
0.0msbody640valid
0.0msbody320valid
0.0msbody160valid

simplify30.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
1127
2247
3357
4427
5487
6517
done517

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (* (/ 3.0 8.0) y))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 12
Calls
1 calls:
3.0ms
(- x (* (/ 3.0 8.0) y))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(- x (* (/ 3.0 8.0) y))

simplify16.2s

Counts
15 → 15
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
099
1168
2278
3528
41038
52228
65818
719718
done50008
088
1138
2258
3368
4438
5498
6528
done528
088
1168
2348
3618
41068
52268
66368
723488
done50008
0917
11417
22617
33717
44417
55017
65317
done5317
088
1138
2258
3368
4438
5498
6528
done528
0923
11523
2419
31359
45569
525379
done50019
088
1138
2258
3368
4438
5498
6528
done528
088
1138
2258
3368
4438
5498
6528
done528
01011
13111
210211
344311
4179711
done500011
01123
13017
29017
318717
433117
550717
660917
763017
done63017
066
1136
2246
3346
4396
5456
6486
done486
0915
12415
27315
322015
456815
5115515
6188515
7244715
8430515
done500015
077
1117
2147
3167
4187
5197
done197
066
1136
2246
3346
4396
5456
6486
done486
055
185
2155
done155
055
185
2155
done155
055
185
2155
done155

prune35.0ms

Filtered
11 candidates to 15 candidates (-36.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New12315
Fresh000
Picked011
Done000
Total12416

Merged error: 0.0b

Counts
16 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
flip3-- pow1/3 flip--
add-exp-log swap-sqr associate-*r* associate-*l*
frac-times add-cbrt-cube add-log-exp unswap-sqr
associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
3.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
10.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

series184.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
46.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
43.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
52.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

simplify2.1min

Counts
99 → 99
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
023
151
done51
023
161
done61
0815
11315
23115
37915
423615
569015
6182115
7439915
done500015
0917
11417
22617
33717
44417
55017
65317
done5317
023
161
done61
01019
11711
23011
34111
44811
55411
65711
done5711
01018
11718
23111
34311
45011
55611
65911
done5911
01018
11718
23318
34918
47418
512218
623018
760718
8228218
done500018
0815
11315
23115
37915
423615
569015
6182115
7439915
done500015
01137
11637
22837
33937
44637
55237
65537
done5537
01018
11518
22718
33818
44518
55118
65418
done5418
01153
12453
24419
36910
413410
536710
6128910
7483510
done500010
01018
1169
2289
3399
4469
5529
6559
done559
01018
1169
2289
3399
4469
5529
6559
done559
01225
13325
210425
344525
4181125
done500125
01349
13237
29237
319137
433537
551737
662937
765037
done65037
01629
14829
215629
361329
4236829
done500029
01533
13527
29427
319127
433527
551127
662527
764727
864827
done64827
01629
14829
215629
360829
4234029
done500129
01533
13527
29427
319227
433627
551827
663427
765427
done65427
01133
12633
27533
321933
456633
5115933
6188833
7244733
8431033
done500033
0917
11317
21617
31817
42017
52117
done2117
01137
11637
22837
33937
44637
55237
65537
done5537
01019
11519
22719
33819
44519
55119
65419
done5419
01019
11519
22719
33819
44519
55119
65419
done5419
01019
11519
22719
33819
44519
55119
65419
done5419
035
153
done51
0917
11417
22617
33717
44417
55017
65317
done5317
01139
12039
23421
35411
47611
510811
618211
738811
8129511
done500011
01019
11519
22719
33819
44519
55119
65419
done5419
01019
1158
2288
3398
4468
5528
6558
done558
01019
1158
2288
3398
4468
5528
6558
done558
023
141
done41
0917
11417
22617
33717
44417
55017
65317
done5317
01019
11519
22719
33819
44519
55119
65419
done5419
01019
11519
22719
33819
44519
55119
65419
done5419
01219
11819
23019
34119
44819
55419
65719
done5719
01219
11819
23019
34119
44819
55419
65719
done5719
01219
11819
23019
34119
44819
55419
65719
done5719
01219
11819
23019
34119
44819
55419
65719
done5719
01019
1158
2288
3398
4468
5528
6558
done558
01019
1158
2288
3398
4468
5528
6558
done558
033
151
done51
033
161
done61
01127
11727
22927
34027
44727
55327
65627
done5627
01118
11718
22918
34018
44718
55318
65618
done5618
01111
11910
23110
3428
4528
5588
6618
done618
01128
11928
23328
34428
45128
55728
66028
done6028
01018
11618
22818
33918
44618
55218
65518
done5518
01010
1188
2338
3448
4518
5578
6608
done608
01018
11618
22818
33918
44618
55218
65518
done5518
01118
11718
22918
34018
44718
55318
65618
done5618
0917
11417
22617
33717
44417
55017
65317
done5317
01018
11618
22818
33918
44618
55218
65518
done5518
01018
11618
22818
33918
44618
55218
65518
done5518
0917
11417
22617
33717
44417
55017
65317
done5317
01421
13821
211721
345921
4191421
done500021
01325
13025
29025
327325
469125
5133525
6213525
7393325
done500125
01421
13821
211721
346821
4192921
done500021
01325
13025
29025
327325
469125
5134525
6215125
7397425
done500025
099
1149
2269
3379
4449
5509
6539
done539
099
1149
2269
3379
4449
5509
6539
done539
01018
11518
22718
33818
44518
55118
65418
done5418
099
1149
2269
3379
4449
5509
6539
done539
099
1149
2269
3379
4449
5509
6539
done539
099
1149
2269
3379
4449
5509
6539
done539
022
141
done41
088
1138
2258
3368
4438
5498
6528
done528
01112
13212
210312
344612
4179512
done500012
01224
13118
29118
319018
433418
551618
661918
764118
done64118
01016
12516
27416
322016
456716
5115616
6186816
7242316
8426216
done500016
088
1128
2158
3178
4198
5208
done208
01019
11519
22719
33819
44519
55119
65419
done5419
099
1149
2269
3379
4449
5509
6539
done539
01026
11626
23010
3467
4597
5757
61017
71647
83727
913157
done50007
099
1149
2269
3379
4449
5509
6539
done539
099
1149
2269
3379
4449
5509
6539
done539
099
1149
2269
3379
4449
5509
6539
done539
099
1149
2269
3379
4449
5509
6539
done539
01018
11518
22718
33818
44518
55118
65418
done5418
099
1149
2269
3379
4449
5509
6539
done539
099
1149
2269
3379
4449
5509
6539
done539
099
1149
2269
3379
4449
5509
6539
done539
022
141
done41
088
1138
2258
3368
4438
5498
6528
done528
01112
13212
210312
344612
4179512
done500012
01224
13118
29118
319018
433418
551618
661918
764118
done64118
01016
12516
27416
322016
456716
5115616
6186816
7242316
8426216
done500016
088
1128
2158
3178
4198
5208
done208
01019
11519
22719
33819
44519
55119
65419
done5419
099
1149
2269
3379
4449
5509
6539
done539
01026
11626
23010
3467
4597
5757
61017
71647
83727
913157
done50007
099
1149
2269
3379
4449
5509
6539
done539
099
1149
2269
3379
4449
5509
6539
done539
099
1149
2269
3379
4449
5509
6539
done539
099
1149
2269
3379
4449
5509
6539
done539
01018
11518
22718
33818
44518
55118
65418
done5418
099
1149
2269
3379
4449
5509
6539
done539
099
1149
2269
3379
4449
5509
6539
done539
099
1149
2269
3379
4449
5509
6539
done539
022
141
done41
088
1138
2258
3368
4438
5498
6528
done528
01112
13212
210312
344612
4179512
done500012
01224
13118
29118
319018
433418
551618
661918
764118
done64118
01016
12516
27416
322016
456716
5115616
6186816
7242316
8426216
done500016
088
1128
2158
3178
4198
5208
done208
01019
11519
22719
33819
44519
55119
65419
done5419
099
1149
2269
3379
4449
5509
6539
done539
01026
11626
23010
3467
4597
5757
61017
71647
83727
913157
done50007
099
1149
2269
3379
4449
5509
6539
done539
099
1149
2269
3379
4449
5509
6539
done539
01823
13923
28423
317719
442015
5130914
6451613
done500013
01112
12210
2468
31315
42863
56173
619803
done50013
01212
12311
2449
31276
43255
58795
628793
done50003
02124
14224
28724
319122
444816
5128116
6461616
done500016
0910
1198
2355
3722
41262
52642
65682
716352
done50002
01111
12110
23810
3806
41542
54332
618622
done50012
02124
14224
28724
319122
444816
5128116
6461616
done500016
0910
1198
2355
3722
41262
52642
65682
716352
done50002
01111
12110
23810
3806
41542
54332
618622
done50012
02124
14224
28724
319122
444816
5128116
6461616
done500016
0910
1198
2355
3722
41262
52642
65682
716352
done50002
01111
12110
23810
3806
41542
54332
618622
done50012

prune275.0ms

Filtered
74 candidates to 99 candidates (-33.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New95499
Fresh022
Picked011
Done011
Total958103

Merged error: 0.0b

Counts
103 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
0.5b
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
0.5b
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
0.5b
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
56×cbrt-div
52×add-sqr-sqrt
49×cbrt-prod
28×add-cube-cbrt *-un-lft-identity
25×pow1
24×flip3-- flip--
19×pow1/3
18×swap-sqr associate-*r* associate-*l*
16×frac-times
12×unswap-sqr
10×add-exp-log
associate-*r/ associate-*l/
pow-prod-down pow-sqr pow-prod-up
add-cbrt-cube add-log-exp
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 161
Calls
4 calls:
8.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
10.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
10.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
10.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

series198.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
48.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
52.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
48.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

simplify3.8min

Counts
173 → 173
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
023
151
done51
023
161
done61
0815
11315
23115
37915
423615
569015
6182115
7439915
done500015
0917
11417
22617
33717
44417
55017
65317
done5317
023
161
done61
01019
11711
23011
34111
44811
55411
65711
done5711
01018
11718
23111
34311
45011
55611
65911
done5911
01018
11718
23318
34918
47418
512218
623018
760718
8228218
done500018
0815
11315
23115
37915
423615
569015
6182115
7439915
done500015
01137
11637
22837
33937
44637
55237
65537
done5537
01018
11518
22718
33818
44518
55118
65418
done5418
01153
12453
24419
36910
413410
536710
6128910
7483510
done500010
01018
1169
2289
3399
4469
5529
6559
done559
01018
1169
2289
3399
4469
5529
6559
done559
01225
13325
210425
344525
4181125
done500125
01349
13237
29237
319137
433537
551737
662937
765037
done65037
01629
14829
215629
361329
4236829
done500029
01533
13527
29427
319127
433527
551127
662527
764727
864827
done64827
01629
14829
215629
360829
4234029
done500129
01533
13527
29427
319227
433627
551827
663427
765427
done65427
01133
12633
27533
321933
456633
5115933
6188833
7244733
8431033
done500033
0917
11317
21617
31817
42017
52117
done2117
01137
11637
22837
33937
44637
55237
65537
done5537
01019
11519
22719
33819
44519
55119
65419
done5419
01019
11519
22719
33819
44519
55119
65419
done5419
01019
11519
22719
33819
44519
55119
65419
done5419
035
153
done51
0917
11417
22617
33717
44417
55017
65317
done5317
01139
12039
23421
35411
47611
510811
618211
738811
8129511
done500011
01019
11519
22719
33819
44519
55119
65419
done5419
01019
1158
2288
3398
4468
5528
6558
done558
01019
1158
2288
3398
4468
5528
6558
done558
023
141
done41
0917
11417
22617
33717
44417
55017
65317
done5317
01019
11519
22719
33819
44519
55119
65419
done5419
01019
11519
22719
33819
44519
55119
65419
done5419
01219
11819
23019
34119
44819
55419
65719
done5719
01219
11819
23019
34119
44819
55419
65719
done5719
01219
11819
23019
34119
44819
55419
65719
done5719
01219
11819
23019
34119
44819
55419
65719
done5719
01019
1158
2288
3398
4468
5528
6558
done558
01019
1158
2288
3398
4468
5528
6558
done558
033
151
done51
033
161
done61
01127
11727
22927
34027
44727
55327
65627
done5627
01118
11718
22918
34018
44718
55318
65618
done5618
01111
11910
23110
3428
4528
5588
6618
done618
01128
11928
23328
34428
45128
55728
66028
done6028
01018
11618
22818
33918
44618
55218
65518
done5518
01010
1188
2338
3448
4518
5578
6608
done608
01018
11618
22818
33918
44618
55218
65518
done5518
01118
11718
22918
34018
44718
55318
65618
done5618
0917
11417
22617
33717
44417
55017
65317
done5317
01018
11618
22818
33918
44618
55218
65518
done5518
01018
11618
22818
33918
44618
55218
65518
done5518
0917
11417
22617
33717
44417
55017
65317
done5317
01421
13821
211721
345921
4191421
done500021
01325
13025
29025
327325
469125
5133525
6213525
7393325
done500125
01421
13821
211721
346821
4192921
done500021
01325
13025
29025
327325
469125
5134525
6215125
7397425
done500025
023
151
done51
023
161
done61
0815
11315
23115
37915
423615
569015
6182115
7439915
done500015
0917
11417
22617
33717
44417
55017
65317
done5317
023
161
done61
01019
11711
23011
34111
44811
55411
65711
done5711
01018
11718
23111
34311
45011
55611
65911
done5911
01018
11718
23318
34918
47418
512218
623018
760718
8228218
done500018
0815
11315
23115
37915
423615
569015
6182115
7439915
done500015
01137
11637
22837
33937
44637
55237
65537
done5537
01018
11518
22718
33818
44518
55118
65418
done5418
01153
12453
24419
36910
413410
536710
6128910
7483510
done500010
01018
1169
2289
3399
4469
5529
6559
done559
01018
1169
2289
3399
4469
5529
6559
done559
01225
13325
210425
344525
4181125
done500125
01349
13237
29237
319137
433537
551737
662937
765037
done65037
01629
14829
215629
361329
4236829
done500029
01533
13527
29427
319127
433527
551127
662527
764727
864827
done64827
01629
14829
215629
360829
4234029
done500129
01533
13527
29427
319227
433627
551827
663427
765427
done65427
01133
12633
27533
321933
456633
5115933
6188833
7244733
8431033
done500033
0917
11317
21617
31817
42017
52117
done2117
01137
11637
22837
33937
44637
55237
65537
done5537
01019
11519
22719
33819
44519
55119
65419
done5419
01019
11519
22719
33819
44519
55119
65419
done5419
01019
11519
22719
33819
44519
55119
65419
done5419
035
153
done51
0917
11417
22617
33717
44417
55017
65317
done5317
01139
12039
23421
35411
47611
510811
618211
738811
8129511
done500011
01019
11519
22719
33819
44519
55119
65419
done5419
01019
1158
2288
3398
4468
5528
6558
done558
01019
1158
2288
3398
4468
5528
6558
done558
023
141
done41
0917
11417
22617
33717
44417
55017
65317
done5317
01019
11519
22719
33819
44519
55119
65419
done5419
01019
11519
22719
33819
44519
55119
65419
done5419
01219
11819
23019
34119
44819
55419
65719
done5719
01219
11819
23019
34119
44819
55419
65719
done5719
01219
11819
23019
34119
44819
55419
65719
done5719
01219
11819
23019
34119
44819
55419
65719
done5719
01019
1158
2288
3398
4468
5528
6558
done558
01019
1158
2288
3398
4468
5528
6558
done558
033
151
done51
033
161
done61
01127
11727
22927
34027
44727
55327
65627
done5627
01118
11718
22918
34018
44718
55318
65618
done5618
01111
11910
23110
3428
4528
5588
6618
done618
01128
11928
23328
34428
45128
55728
66028
done6028
01018
11618
22818
33918
44618
55218
65518
done5518
01010
1188
2338
3448
4518
5578
6608
done608
01018
11618
22818
33918
44618
55218
65518
done5518
01118
11718
22918
34018
44718
55318
65618
done5618
0917
11417
22617
33717
44417
55017
65317
done5317
01018
11618
22818
33918
44618
55218
65518
done5518
01018
11618
22818
33918
44618
55218
65518
done5518
0917
11417
22617
33717
44417
55017
65317
done5317
01421
13821
211721
345921
4191421
done500021
01325
13025
29025
327325
469125
5133525
6213525
7393325
done500125
01421
13821
211721
346821
4192921
done500021
01325
13025
29025
327325
469125
5134525
6215125
7397425
done500025
023
151
done51
023
161
done61
0815
11315
23115
37915
423615
569015
6182115
7439915
done500015
0917
11417
22617
33717
44417
55017
65317
done5317
023
161
done61
01019
11711
23011
34111
44811
55411
65711
done5711
01018
11718
23111
34311
45011
55611
65911
done5911
01018
11718
23318
34918
47418
512218
623018
760718
8228218
done500018
0815
11315
23115
37915
423615
569015
6182115
7439915
done500015
01137
11637
22837
33937
44637
55237
65537
done5537
01018
11518
22718
33818
44518
55118
65418
done5418
01153
12453
24419
36910
413410
536710
6128910
7483510
done500010
01018
1169
2289
3399
4469
5529
6559
done559
01018
1169
2289
3399
4469
5529
6559
done559
01225
13325
210425
344525
4181125
done500125
01349
13237
29237
319137
433537
551737
662937
765037
done65037
01629
14829
215629
361329
4236829
done500029
01533
13527
29427
319127
433527
551127
662527
764727
864827
done64827
01629
14829
215629
360829
4234029
done500129
01533
13527
29427
319227
433627
551827
663427
765427
done65427
01133
12633
27533
321933
456633
5115933
6188833
7244733
8431033
done500033
0917
11317
21617
31817
42017
52117
done2117
01137
11637
22837
33937
44637
55237
65537
done5537
01019
11519
22719
33819
44519
55119
65419
done5419
01019
11519
22719
33819
44519
55119
65419
done5419
01019
11519
22719
33819
44519
55119
65419
done5419
035
153
done51
0917
11417
22617
33717
44417
55017
65317
done5317
01139
12039
23421
35411
47611
510811
618211
738811
8129511
done500011
01019
11519
22719
33819
44519
55119
65419
done5419
01019
1158
2288
3398
4468
5528
6558
done558
01019
1158
2288
3398
4468
5528
6558
done558
023
141
done41
0917
11417
22617
33717
44417
55017
65317
done5317
01019
11519
22719
33819
44519
55119
65419
done5419
01019
11519
22719
33819
44519
55119
65419
done5419
01219
11819
23019
34119
44819
55419
65719
done5719
01219
11819
23019
34119
44819
55419
65719
done5719
01219
11819
23019
34119
44819
55419
65719
done5719
01219
11819
23019
34119
44819
55419
65719
done5719
01019
1158
2288
3398
4468
5528
6558
done558
01019
1158
2288
3398
4468
5528
6558
done558
033
151
done51
033
161
done61
01127
11727
22927
34027
44727
55327
65627
done5627
01118
11718
22918
34018
44718
55318
65618
done5618
01111
11910
23110
3428
4528
5588
6618
done618
01128
11928
23328
34428
45128
55728
66028
done6028
01018
11618
22818
33918
44618
55218
65518
done5518
01010
1188
2338
3448
4518
5578
6608
done608
01018
11618
22818
33918
44618
55218
65518
done5518
01118
11718
22918
34018
44718
55318
65618
done5618
0917
11417
22617
33717
44417
55017
65317
done5317
01018
11618
22818
33918
44618
55218
65518
done5518
01018
11618
22818
33918
44618
55218
65518
done5518
0917
11417
22617
33717
44417
55017
65317
done5317
01421
13821
211721
345921
4191421
done500021
01325
13025
29025
327325
469125
5133525
6213525
7393325
done500125
01421
13821
211721
346821
4192921
done500021
01325
13025
29025
327325
469125
5134525
6215125
7397425
done500025
01119
11619
22819
33919
44619
55219
65519
done5519
01119
11619
22819
33919
44619
55219
65519
done5519
099
1149
2269
3379
4449
5509
6539
done539
099
1149
2269
3379
4449
5509
6539
done539
01326
13426
210526
344126
4179526
done500026
01450
13338
29338
319238
433638
551838
662738
764938
865138
done65138
01730
14930
215730
361830
4235030
done500130
01634
13628
29528
319128
433528
551728
662928
765128
done65128
01730
14930
215730
361330
4235230
done500030
01634
13628
29528
319528
433928
552128
663128
765228
865328
done65328
01234
12734
27634
322234
457134
5116234
6189234
7245334
8430434
done500134
01018
11418
21718
31918
42118
52218
done2218
01522
13922
211822
346122
4190122
done500122
01325
13219
29219
319119
433519
551719
662919
765019
done65019
01426
13126
29126
327326
469226
5133826
6214626
7393526
done500126
099
1139
2169
3189
4209
5219
done219
01522
13922
211822
346922
4193622
done500022
01325
13219
29219
319119
433519
551719
662919
765019
done65019
01426
13126
29126
327126
469426
5134226
6215326
7396226
done500126
099
1139
2169
3189
4209
5219
done219
01239
11739
22939
34039
44739
55339
65639
done5639
01119
11619
22819
33919
44619
55219
65519
done5519
01256
11856
23220
34817
46117
57717
610117
716117
837017
9128117
done500017
01119
11619
22819
33919
44619
55219
65519
done5519
01119
11619
22819
33919
44619
55219
65519
done5519
01823
13923
28423
317719
442015
5130914
6451613
done500013
01112
12210
2468
31315
42863
56173
619803
done50013
01212
12311
2449
31276
43255
58795
628793
done50003
01823
13923
28423
317719
442015
5130914
6451613
done500013
01112
12210
2468
31315
42863
56173
619803
done50013
01212
12311
2449
31276
43255
58795
628793
done50003
01823
13923
28423
317719
442015
5130914
6451613
done500013
01112
12210
2468
31315
42863
56173
619803
done50013
01212
12311
2449
31276
43255
58795
628793
done50003
02025
14225
29425
319821
447919
5138415
done500015
01112
12210
2468
31305
42853
56163
619793
done50013
01212
12311
2449
31267
43245
58735
628913
done50003

prune1.3s

Filtered
122 candidates to 173 candidates (-41.8%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1730173
Fresh055
Picked011
Done022
Total1738181

Merged error: 0.0b

Counts
181 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
0.5b
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
0.5b
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
0.5b
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
64×cbrt-div
36×add-sqr-sqrt
34×cbrt-prod
24×flip3-- flip--
20×add-cube-cbrt *-un-lft-identity
18×pow1
16×frac-times
14×pow1/3
12×swap-sqr associate-*r* associate-*l*
add-exp-log associate-*r/ associate-*l/ unswap-sqr
pow-prod-down pow-sqr pow-prod-up add-cbrt-cube add-log-exp
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 130
Calls
4 calls:
9.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
8.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
10.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
11.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

series204.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
52.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
50.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
53.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

simplify3.5min

Counts
142 → 142
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
023
151
done51
023
161
done61
0815
11315
23115
37915
423615
569015
6182115
7439915
done500015
0917
11417
22617
33717
44417
55017
65317
done5317
023
161
done61
01019
11711
23011
34111
44811
55411
65711
done5711
01018
11718
23111
34311
45011
55611
65911
done5911
01018
11718
23318
34918
47418
512218
623018
760718
8228218
done500018
0815
11315
23115
37915
423615
569015
6182115
7439915
done500015
01137
11637
22837
33937
44637
55237
65537
done5537
01018
11518
22718
33818
44518
55118
65418
done5418
01153
12453
24419
36910
413410
536710
6128910
7483510
done500010
01018
1169
2289
3399
4469
5529
6559
done559
01018
1169
2289
3399
4469
5529
6559
done559
01225
13325
210425
344525
4181125
done500125
01349
13237
29237
319137
433537
551737
662937
765037
done65037
01629
14829
215629
361329
4236829
done500029
01533
13527
29427
319127
433527
551127
662527
764727
864827
done64827
01629
14829
215629
360829
4234029
done500129
01533
13527
29427
319227
433627
551827
663427
765427
done65427
01133
12633
27533
321933
456633
5115933
6188833
7244733
8431033
done500033
0917
11317
21617
31817
42017
52117
done2117
01137
11637
22837
33937
44637
55237
65537
done5537
01019
11519
22719
33819
44519
55119
65419
done5419
01019
11519
22719
33819
44519
55119
65419
done5419
01019
11519
22719
33819
44519
55119
65419
done5419
035
153
done51
0917
11417
22617
33717
44417
55017
65317
done5317
01139
12039
23421
35411
47611
510811
618211
738811
8129511
done500011
01019
11519
22719
33819
44519
55119
65419
done5419
01019
1158
2288
3398
4468
5528
6558
done558
01019
1158
2288
3398
4468
5528
6558
done558
023
141
done41
0917
11417
22617
33717
44417
55017
65317
done5317
01019
11519
22719
33819
44519
55119
65419
done5419
01019
11519
22719
33819
44519
55119
65419
done5419
01219
11819
23019
34119
44819
55419
65719
done5719
01219
11819
23019
34119
44819
55419
65719
done5719
01219
11819
23019
34119
44819
55419
65719
done5719
01219
11819
23019
34119
44819
55419
65719
done5719
01019
1158
2288
3398
4468
5528
6558
done558
01019
1158
2288
3398
4468
5528
6558
done558
033
151
done51
033
161
done61
01127
11727
22927
34027
44727
55327
65627
done5627
01118
11718
22918
34018
44718
55318
65618
done5618
01111
11910
23110
3428
4528
5588
6618
done618
01128
11928
23328
34428
45128
55728
66028
done6028
01018
11618
22818
33918
44618
55218
65518
done5518
01010
1188
2338
3448
4518
5578
6608
done608
01018
11618
22818
33918
44618
55218
65518
done5518
01118
11718
22918
34018
44718
55318
65618
done5618
0917
11417
22617
33717
44417
55017
65317
done5317
01018
11618
22818
33918
44618
55218
65518
done5518
01018
11618
22818
33918
44618
55218
65518
done5518
0917
11417
22617
33717
44417
55017
65317
done5317
01421
13821
211721
345921
4191421
done500021
01325
13025
29025
327325
469125
5133525
6213525
7393325
done500125
01421
13821
211721
346821
4192921
done500021
01325
13025
29025
327325
469125
5134525
6215125
7397425
done500025
023
151
done51
023
161
done61
0815
11315
23115
37915
423615
569015
6182115
7439915
done500015
0917
11417
22617
33717
44417
55017
65317
done5317
023
161
done61
01019
11711
23011
34111
44811
55411
65711
done5711
01018
11718
23111
34311
45011
55611
65911
done5911
01018
11718
23318
34918
47418
512218
623018
760718
8228218
done500018
0815
11315
23115
37915
423615
569015
6182115
7439915
done500015
01137
11637
22837
33937
44637
55237
65537
done5537
01018
11518
22718
33818
44518
55118
65418
done5418
01153
12453
24419
36910
413410
536710
6128910
7483510
done500010
01018
1169
2289
3399
4469
5529
6559
done559
01018
1169
2289
3399
4469
5529
6559
done559
01225
13325
210425
344525
4181125
done500125
01349
13237
29237
319137
433537
551737
662937
765037
done65037
01629
14829
215629
361329
4236829
done500029
01533
13527
29427
319127
433527
551127
662527
764727
864827
done64827
01629
14829
215629
360829
4234029
done500129
01533
13527
29427
319227
433627
551827
663427
765427
done65427
01133
12633
27533
321933
456633
5115933
6188833
7244733
8431033
done500033
0917
11317
21617
31817
42017
52117
done2117
01137
11637
22837
33937
44637
55237
65537
done5537
01019
11519
22719
33819
44519
55119
65419
done5419
01019
11519
22719
33819
44519
55119
65419
done5419
01019
11519
22719
33819
44519
55119
65419
done5419
035
153
done51
0917
11417
22617
33717
44417
55017
65317
done5317
01139
12039
23421
35411
47611
510811
618211
738811
8129511
done500011
01019
11519
22719
33819
44519
55119
65419
done5419
01019
1158
2288
3398
4468
5528
6558
done558
01019
1158
2288
3398
4468
5528
6558
done558
023
141
done41
0917
11417
22617
33717
44417
55017
65317
done5317
01019
11519
22719
33819
44519
55119
65419
done5419
01019
11519
22719
33819
44519
55119
65419
done5419
01219
11819
23019
34119
44819
55419
65719
done5719
01219
11819
23019
34119
44819
55419
65719
done5719
01219
11819
23019
34119
44819
55419
65719
done5719
01219
11819
23019
34119
44819
55419
65719
done5719
01019
1158
2288
3398
4468
5528
6558
done558
01019
1158
2288
3398
4468
5528
6558
done558
033
151
done51
033
161
done61
01127
11727
22927
34027
44727
55327
65627
done5627
01118
11718
22918
34018
44718
55318
65618
done5618
01111
11910
23110
3428
4528
5588
6618
done618
01128
11928
23328
34428
45128
55728
66028
done6028
01018
11618
22818
33918
44618
55218
65518
done5518
01010
1188
2338
3448
4518
5578
6608
done608
01018
11618
22818
33918
44618
55218
65518
done5518
01118
11718
22918
34018
44718
55318
65618
done5618
0917
11417
22617
33717
44417
55017
65317
done5317
01018
11618
22818
33918
44618
55218
65518
done5518
01018
11618
22818
33918
44618
55218
65518
done5518
0917
11417
22617
33717
44417
55017
65317
done5317
01421
13821
211721
345921
4191421
done500021
01325
13025
29025
327325
469125
5133525
6213525
7393325
done500125
01421
13821
211721
346821
4192921
done500021
01325
13025
29025
327325
469125
5134525
6215125
7397425
done500025
01119
11619
22819
33919
44619
55219
65519
done5519
01119
11619
22819
33919
44619
55219
65519
done5519
099
1149
2269
3379
4449
5509
6539
done539
099
1149
2269
3379
4449
5509
6539
done539
01326
13426
210526
344126
4179526
done500026
01450
13338
29338
319238
433638
551838
662738
764938
865138
done65138
01730
14930
215730
361830
4235030
done500130
01634
13628
29528
319128
433528
551728
662928
765128
done65128
01730
14930
215730
361330
4235230
done500030
01634
13628
29528
319528
433928
552128
663128
765228
865328
done65328
01234
12734
27634
322234
457134
5116234
6189234
7245334
8430434
done500134
01018
11418
21718
31918
42118
52218
done2218
01522
13922
211822
346122
4190122
done500122
01325
13219
29219
319119
433519
551719
662919
765019
done65019
01426
13126
29126
327326
469226
5133826
6214626
7393526
done500126
099
1139
2169
3189
4209
5219
done219
01522
13922
211822
346922
4193622
done500022
01325
13219
29219
319119
433519
551719
662919
765019
done65019
01426
13126
29126
327126
469426
5134226
6215326
7396226
done500126
099
1139
2169
3189
4209
5219
done219
01239
11739
22939
34039
44739
55339
65639
done5639
01119
11619
22819
33919
44619
55219
65519
done5519
01256
11856
23220
34817
46117
57717
610117
716117
837017
9128117
done500017
01119
11619
22819
33919
44619
55219
65519
done5519
01119
11619
22819
33919
44619
55219
65519
done5519
01119
11619
22819
33919
44619
55219
65519
done5519
01119
11619
22819
33919
44619
55219
65519
done5519
099
1149
2269
3379
4449
5509
6539
done539
099
1149
2269
3379
4449
5509
6539
done539
01326
13426
210526
344126
4179526
done500026
01450
13338
29338
319238
433638
551838
662738
764938
865138
done65138
01730
14930
215730
361830
4235030
done500130
01634
13628
29528
319128
433528
551728
662928
765128
done65128
01730
14930
215730
361330
4235230
done500030
01634
13628
29528
319528
433928
552128
663128
765228
865328
done65328
01234
12734
27634
322234
457134
5116234
6189234
7245334
8430434
done500134
01018
11418
21718
31918
42118
52218
done2218
01522
13922
211822
346122
4190122
done500122
01325
13219
29219
319119
433519
551719
662919
765019
done65019
01426
13126
29126
327326
469226
5133826
6214626
7393526
done500126
099
1139
2169
3189
4209
5219
done219
01522
13922
211822
346922
4193622
done500022
01325
13219
29219
319119
433519
551719
662919
765019
done65019
01426
13126
29126
327126
469426
5134226
6215326
7396226
done500126
099
1139
2169
3189
4209
5219
done219
01239
11739
22939
34039
44739
55339
65639
done5639
01119
11619
22819
33919
44619
55219
65519
done5519
01256
11856
23220
34817
46117
57717
610117
716117
837017
9128117
done500017
01119
11619
22819
33919
44619
55219
65519
done5519
01119
11619
22819
33919
44619
55219
65519
done5519
01823
13923
28423
317719
442015
5130914
6451613
done500013
01112
12210
2468
31315
42863
56173
619803
done50013
01212
12311
2449
31276
43255
58795
628793
done50003
01823
13923
28423
317719
442015
5130914
6451613
done500013
01112
12210
2468
31315
42863
56173
619803
done50013
01212
12311
2449
31276
43255
58795
628793
done50003
02025
14225
29425
319821
447919
5138415
done500015
01112
12210
2468
31305
42853
56163
619793
done50013
01212
12311
2449
31267
43245
58735
628913
done50003
02025
14225
29425
319821
447919
5138415
done500015
01112
12210
2468
31305
42853
56163
619793
done50013
01212
12311
2449
31267
43245
58735
628913
done50003

prune877.0ms

Filtered
106 candidates to 142 candidates (-34.0%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1420142
Fresh044
Picked011
Done033
Total1428150

Merged error: 0.0b

Counts
150 → 8

regimes280.0ms

Accuracy

0% (0.0b 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
077
187
done87

end0.0ms

sample506.0ms

Algorithm
intervals
Results
190.0ms7408×body80valid
23.0ms209×body1280valid
13.0ms153×body640valid
13.0ms93×body2560valid
6.0ms93×body320valid
2.0ms44×body160valid

Profiling

Loading profile data...