Details

Time bar (total: 6.3min)

sample26.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1119
2149
done149

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.0b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

6.0b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
37×*-un-lft-identity
29×times-frac
13×add-cube-cbrt
10×difference-of-squares
distribute-lft-out
associate-/r*
distribute-lft-out--
associate-/l*
add-exp-log add-cbrt-cube
associate-/r/ associate-/l/
pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 50
Calls
1 calls:
12.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series12.0ms

Counts
1 → 3
Calls
1 calls:
12.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify17.3s

Counts
53 → 53
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01011
11511
21911
done1911
0910
11510
22010
32110
done2110
0910
11210
21510
done1510
01229
13629
211313
330511
489211
5276111
done500111
01021
11321
21621
done1621
0910
11210
21510
done1510
01029
12029
25511
313311
434711
586711
6230211
done500111
0910
11210
21510
done1510
0910
11210
21510
done1510
044
184
2104
3114
done114
066
186
2146
3186
4215
done215
01223
12123
23323
33923
done3923
01011
11311
21611
done1611
01116
11616
22116
32216
done2216
01011
11311
21611
done1611
0711
1129
2189
3239
done239
0910
11210
21510
done1510
01217
11617
21817
31917
done1917
01112
11412
21512
done1512
01318
11718
21918
32018
done2018
01213
11513
21813
done1813
0711
1129
2189
3239
done239
0910
11210
21510
done1510
01118
11618
21918
done1918
01011
11311
21611
done1611
01011
11311
21611
done1611
01011
11311
21611
done1611
066
194
2114
done114
0910
11210
21510
done1510
01112
11312
done1312
01112
11412
21512
done1512
01213
11413
done1413
01213
11513
21813
done1813
066
194
2114
done114
0910
11210
21510
done1510
0915
11515
21815
done1815
0910
11210
21510
done1510
088
1128
2158
done158
0910
11210
21510
done1510
023
141
done41
089
1119
2149
done149
099
1129
done129
01011
11311
21411
done1411
01010
11310
done1310
01112
11412
21712
done1712
023
141
done41
089
1119
2149
done149
0915
11515
21815
done1815
0910
11210
21510
done1510
088
1128
2158
done158
0910
11210
21510
done1510
023
141
done41
089
1119
2149
done149
099
1129
done129
01011
11311
21411
done1411
01010
11310
done1310
01112
11412
21712
done1712
023
141
done41
089
1119
2149
done149
077
1117
2147
done147
089
1149
2219
3279
4399
done399
01017
11517
21817
done1817
0910
11210
21510
done1510
055
183
2103
done103
01011
11211
done1211
01112
11312
done1312
055
183
2103
done103
0910
11510
22210
32810
43210
done3210
0910
11510
22210
32810
43210
done3210
089
1149
2219
3279
4399
done399
089
1149
2219
3279
4399
done399
01113
13013
27213
318413
457213
5197613
done500013
01015
12015
23715
37315
412715
520515
629715
748715
8186715
done500015
01217
12915
27915
323815
465915
5176215
6398815
done500015
089
1139
2289
3669
41509
52729
63759
75359
88399
912009
1012609
done12609
011
done11
011
done11
011
done11

prune99.0ms

Filtered
36 candidates to 53 candidates (-47.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New45853
Fresh000
Picked011
Done000
Total45954

Merged error: 5.0b

Counts
54 → 9

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
6.0b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
231×times-frac
194×add-sqr-sqrt
193×*-un-lft-identity
89×add-cube-cbrt
42×difference-of-squares
34×associate-/r*
31×distribute-lft-out
21×distribute-lft-out--
15×add-exp-log
11×associate-/r/
add-cbrt-cube associate-/l*
div-exp
div-inv
flip3-+ flip-+
cbrt-undiv
pow1
rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 195
Calls
2 calls:
19.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
12.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series31.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
11.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify1.2min

Counts
201 → 201
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01011
11511
21911
done1911
0910
11810
22710
33410
44610
done4610
0910
11510
22510
33310
44810
55410
65810
77410
88010
98710
109610
1111710
1213810
1315610
1416710
1518110
1618510
done18510
01229
13629
211613
332111
495611
5352511
done500111
01021
11621
22321
32921
44121
done4121
0910
11510
22210
32810
44010
done4010
01029
12329
25811
319611
470111
5262111
done500011
0910
11510
22210
32810
44010
done4010
0910
11510
22210
32810
44010
done4010
066
186
2146
3186
4215
done215
044
184
2104
3114
done114
055
165
done65
067
197
2127
3207
done207
01223
12123
23323
33923
done3923
01011
11311
21611
done1611
01118
11618
22118
32218
done2218
01011
11311
21611
done1611
0915
11513
22413
32913
done2913
0910
11210
21510
done1510
0915
11513
22413
32913
done2913
0910
11210
21510
done1510
01116
11616
21916
done1916
01011
11311
21611
done1611
01011
11311
21611
done1611
01011
11311
21611
done1611
088
1126
2176
done176
0910
11210
21510
done1510
088
1126
2176
done176
0910
11210
21510
done1510
0711
11211
done1211
0910
11510
22210
32810
43210
done3210
066
196
done96
0910
11510
22210
32810
43210
done3210
023
141
done41
089
1149
2219
3279
4399
done399
023
141
done41
089
1149
2219
3279
4399
done399
01217
11617
done1617
01112
11712
22012
32212
done2212
01112
11312
done1312
01112
11712
22012
32212
done2212
099
1127
2147
done147
01011
11611
21911
32111
done2111
099
1127
2147
done147
01011
11611
21911
32111
done2111
01318
11718
done1718
01213
11813
22513
33113
43513
done3513
01213
11413
done1413
01213
11813
22513
33113
43513
done3513
01010
1138
2158
done158
01112
11712
22412
33012
44212
done4212
01010
1138
2158
done158
01112
11712
22412
33012
44212
done4212
0711
11211
done1211
0910
11510
22210
32810
43210
done3210
066
196
done96
0910
11510
22210
32810
43210
done3210
023
141
done41
089
1149
2219
3279
4399
done399
023
141
done41
089
1149
2219
3279
4399
done399
055
185
done85
089
1119
2149
done149
01015
11815
23015
34215
45815
56415
done6415
0910
11510
22210
32810
43210
done3210
077
1145
2235
3305
4325
done325
077
1145
2235
3305
4325
done325
0910
11210
21510
done1510
0910
11210
21510
done1510
089
1119
2149
done149
01011
11311
21411
done1411
01112
11412
21712
done1712
089
1119
2149
done149
01113
13013
24613
36913
412213
529713
6102413
7484213
done500013
01013
12013
23913
37413
415013
527313
643913
771213
8234513
done500013
01221
13317
29617
326517
467117
5152317
6223117
7258417
8270317
9284017
10323817
11475517
done500017
089
1179
2469
3809
41159
51269
61419
71519
done1519
022
151
done51
01112
11612
22312
32512
42611
done2611
01011
11911
22811
33811
45211
55311
done5311
01213
12112
23712
35611
48511
511111
612011
713411
done13411
01112
12211
23711
35611
49411
512411
612911
713511
814911
done14911
01314
12413
23512
36011
48911
511511
612411
714111
done14111
01213
12512
23711
36011
49811
512811
613611
714211
815711
done15711
01112
12511
24911
38110
417010
526310
628910
730510
832510
done32510
01112
12112
24112
37010
416610
527910
646310
7105210
8366510
done500010
01635
14731
215715
357413
4227713
done500013
01435
13631
29113
335613
4133511
5476011
done500011
01225
12225
24025
35921
413221
519321
620421
721621
822621
done22621
01112
12112
23912
35810
413110
519710
620810
722010
823010
done23010
01235
12935
28213
334511
4116011
5276811
done500011
01112
12112
23912
35810
413110
519710
620810
722010
823010
done23010
01112
12112
23912
35810
413110
519710
620810
722010
823010
done23010
022
151
done51
0910
11710
22710
34010
4599
5649
done649
01427
12825
24423
35623
46823
done6823
01213
12012
22712
33312
44512
done4512
01316
12314
23212
33912
45112
done5112
01213
12012
22712
33312
44512
done4512
01629
13127
27025
314023
419823
done19823
01314
12013
22613
32711
44011
54511
done4511
01524
12622
24720
38018
410318
done10318
01314
12013
22613
32711
44011
54511
done4511
01221
12215
23915
34815
done4815
01213
11912
23312
34610
48110
59210
done9210
01221
12215
23915
34815
done4815
01213
11912
23312
34610
48110
59210
done9210
01522
12620
24418
36416
46816
done6816
01314
12013
22613
32711
44011
54511
done4511
01417
12315
23513
34311
44411
done4411
01314
12013
22613
32711
44011
54511
done4511
01114
1198
2278
done278
01213
11912
23312
34610
48110
59210
done9210
01114
1198
2278
done278
01213
11912
23312
34610
48110
59210
done9210
01017
11915
23411
3509
4589
5599
done599
01213
12212
23212
33910
47410
510810
611310
done11310
0912
11610
2256
3334
done334
01213
12212
23212
33910
47410
510810
611310
done11310
059
1111
done111
01112
12111
23911
3589
41319
51949
62059
72179
82279
done2279
059
1111
done111
01112
12111
23911
3589
41319
51949
62059
72179
82279
done2279
01623
12621
24119
36117
46517
done6517
01415
12414
23014
33312
45512
56812
done6812
01518
12316
23214
34012
44112
done4112
01415
12414
23014
33312
45512
56812
done6812
01215
1199
2249
done249
01314
12313
23713
35211
49611
512111
612511
712911
done12911
01215
1199
2249
done249
01314
12313
23713
35211
49611
512111
612511
712911
done12911
01724
12722
24220
36218
46618
done6618
01516
12515
23515
34213
47713
511213
611613
done11613
01619
12417
23315
34113
44213
done4213
01516
12515
23515
34213
47713
511213
611613
done11613
01316
12010
22510
done2510
01415
12414
24214
36112
413412
519612
620612
721812
823212
924012
done24012
01316
12010
22510
done2510
01415
12414
24214
36112
413412
519612
620612
721812
823212
924012
done24012
01017
11915
23411
3509
4589
5599
done599
01213
12212
23212
33910
47410
510810
611310
done11310
0912
11610
2256
3334
done334
01213
12212
23212
33910
47410
510810
611310
done11310
059
1111
done111
01112
12111
23911
3589
41319
51949
62059
72179
82279
done2279
059
1111
done111
01112
12111
23911
3589
41319
51949
62059
72179
82279
done2279
047
183
2121
done121
01112
12111
23911
3589
41319
51949
62059
72179
82279
done2279
0911
1159
2237
3287
4357
5377
done377
078
1127
2235
3283
4403
done403
01519
14017
27615
315613
437013
5115313
6344713
done500113
01014
12011
23511
34811
46811
58911
610611
712911
817211
923411
1023511
done23511
01419
13017
26915
318313
453313
5116413
6174713
7335413
done500013
066
1105
2115
done115
01324
12323
23023
33623
44823
done4823
01213
12012
22712
33312
44512
done4512
01213
12012
22712
33312
44512
done4512
01213
12012
22712
33312
44512
done4512
01526
12825
25225
38123
414123
520323
done20323
01314
12013
22613
32711
44011
54511
done4511
01421
12320
23420
34718
47418
510818
done10818
01314
12013
22613
32711
44011
54511
done4511
01118
11915
23315
34215
done4215
01213
11912
23312
34610
48110
59210
done9210
01118
11915
23315
34215
done4215
01213
11912
23312
34610
48110
59210
done9210
01419
12318
23318
34116
46516
58016
done8016
01314
12013
22613
32711
44011
54511
done4511
01314
12013
22613
32711
44011
54511
done4511
01314
12013
22613
32711
44011
54511
done4511
01011
1168
2248
done248
01213
11912
23312
34610
48110
59210
done9210
01011
1168
2248
done248
01213
11912
23312
34610
48110
59210
done9210
0914
11613
22311
3329
4459
5479
done479
01213
12212
23212
33910
47410
510810
611310
done11310
089
1138
2166
3214
4254
done254
01213
12212
23212
33910
47410
510810
611310
done11310
046
181
done81
01112
12111
23911
3589
41319
51949
62059
72179
82279
done2279
046
181
done81
01112
12111
23911
3589
41319
51949
62059
72179
82279
done2279
01520
12319
23019
33817
46217
57717
done7717
01415
12414
23014
33312
45512
56812
done6812
01415
12014
22314
32412
43712
54412
done4412
01415
12414
23014
33312
45512
56812
done6812
01112
1169
2219
done219
01314
12313
23713
35211
49611
512111
612511
712911
done12911
01112
1169
2219
done219
01314
12313
23713
35211
49611
512111
612511
712911
done12911
01621
12420
23120
33918
46318
57818
done7818
01516
12515
23515
34213
47713
511213
611613
done11613
01516
12115
22415
32513
43813
54313
done4313
01516
12515
23515
34213
47713
511213
611613
done11613
01213
11710
22210
done2210
01415
12414
24214
36112
413412
519612
620612
721812
823212
924012
done24012
01213
11710
22210
done2210
01415
12414
24214
36112
413412
519612
620612
721812
823212
924012
done24012
0914
11613
22311
3329
4459
5479
done479
01213
12212
23212
33910
47410
510810
611310
done11310
089
1138
2166
3214
4254
done254
01213
12212
23212
33910
47410
510810
611310
done11310
046
181
done81
01112
12111
23911
3589
41319
51949
62059
72179
82279
done2279
046
181
done81
01112
12111
23911
3589
41319
51949
62059
72179
82279
done2279
034
151
done51
01112
12111
23911
3589
41319
51949
62059
72179
82279
done2279
088
1127
2157
done157
078
1127
2235
3283
4403
done403
01416
13715
26415
312413
432613
5113413
6337613
done500013
01014
12011
23511
34811
46811
58911
610611
712911
817211
923411
1023511
done23511
01316
12715
25715
314513
445813
5113013
6171913
7328713
done500013
066
1105
2115
done115
01223
12223
22923
33523
44723
done4723
01112
11912
22612
33212
44412
done4412
01112
11912
22612
33212
44412
done4412
01112
11912
22612
33212
44412
done4412
01425
12725
25125
38223
414223
521223
done21223
01213
11913
22513
32611
43911
54411
done4411
01320
12220
23320
34618
47318
510418
done10418
01213
11913
22513
32611
43911
54411
done4411
01017
11815
23215
34115
done4115
01112
11812
23212
34510
48010
59110
done9110
01017
11815
23215
34115
done4115
01112
11812
23212
34510
48010
59110
done9110
01318
12218
23218
34016
46416
57716
done7716
01213
11913
22513
32611
43911
54411
done4411
01213
11913
22513
32611
43911
54411
done4411
01213
11913
22513
32611
43911
54411
done4411
0910
1158
2238
done238
01112
11812
23212
34510
48010
59110
done9110
0910
1158
2238
done238
01112
11812
23212
34510
48010
59110
done9110
0813
1159
2249
3379
4469
5479
done479
01112
12112
23112
33810
47310
510810
611310
done11310
078
1124
2174
3194
4204
done204
01112
12112
23112
33810
47310
510810
611310
done11310
035
161
done61
01011
12011
23811
3579
41309
51959
62069
72189
82289
done2289
035
161
done61
01011
12011
23811
3579
41309
51959
62069
72189
82289
done2289
01419
12219
22919
33717
46117
57817
done7817
01314
12314
22914
33212
45412
56712
done6712
01314
11914
22214
32312
43612
54312
done4312
01314
12314
22914
33212
45412
56712
done6712
01011
1159
2209
done209
01213
12213
23613
35111
49511
512011
612411
712811
done12811
01011
1159
2209
done209
01213
12213
23613
35111
49511
512011
612411
712811
done12811
01520
12320
23020
33818
46218
57718
done7718
01415
12415
23415
34113
47613
510913
611313
done11313
01415
12015
22315
32413
43713
54413
done4413
01415
12415
23415
34113
47613
510913
611313
done11313
01112
11610
22110
done2110
01314
12314
24114
36012
413312
519512
620612
721812
823212
924012
done24012
01112
11610
22110
done2110
01314
12314
24114
36012
413312
519512
620612
721812
823212
924012
done24012
0813
1159
2249
3379
4469
5479
done479
01112
12112
23112
33810
47310
510810
611310
done11310
078
1124
2174
3194
4204
done204
01112
12112
23112
33810
47310
510810
611310
done11310
035
161
done61
01011
12011
23811
3579
41309
51959
62069
72189
82289
done2289
035
161
done61
01011
12011
23811
3579
41309
51959
62069
72189
82289
done2289
023
141
done41
01011
12011
23811
3579
41309
51959
62069
72189
82289
done2289
077
1117
2147
done147
067
1113
2243
3343
4353
done353
01315
13615
26315
312313
432813
5113013
6340513
done500113
0913
11911
23411
34711
46711
58811
610511
712811
817111
923311
1023411
done23411
01215
12615
25615
314413
445713
5112313
6170913
7327513
done500013
055
195
2105
done105
01011
12011
23811
3579
41309
51959
62069
72189
82289
done2289
01011
1209
2459
3729
41089
51329
done1329
01223
12223
22923
33523
44723
done4723
01112
11912
22612
33212
44412
done4412
01425
12725
25125
38223
414223
521223
done21223
01320
12220
23320
34618
47318
510418
done10418
01017
11815
23215
34115
done4115
01017
11815
23215
34115
done4115
01318
12218
23218
34016
46416
57716
done7716
01213
11913
22513
32611
43911
54411
done4411
0910
1158
2238
done238
0910
1158
2238
done238
0813
1159
2249
3379
4469
5479
done479
078
1124
2174
3194
4204
done204
035
161
done61
035
161
done61
01419
12219
22919
33717
46117
57817
done7817
01314
11914
22214
32312
43612
54312
done4312
01011
1159
2209
done209
01011
1159
2209
done209
01520
12320
23020
33818
46218
57718
done7718
01415
12015
22315
32413
43713
54413
done4413
01112
11610
22110
done2110
01112
11610
22110
done2110
0813
1159
2249
3379
4469
5479
done479
078
1124
2174
3194
4204
done204
035
161
done61
035
161
done61
023
141
done41
077
1117
2147
done147
01315
13615
26315
312313
432813
5113013
6340513
done500113
01215
12615
25615
314413
445713
5112313
6170913
7327513
done500013
01112
12111
24511
3649
41079
51509
61559
done1559
01112
12111
24511
3649
41079
51509
61559
done1559
01011
1209
2459
3729
41089
51329
done1329
077
1117
2147
done147
011
done11
011
done11
011
done11
011
done11
011
done11
011
done11

prune174.0ms

Filtered
92 candidates to 201 candidates (-118.5%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New2001201
Fresh167
Picked011
Done011
Total2019210

Merged error: 5.0b

Counts
210 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x y))
0.5b
(* (cbrt (+ x y)) (cbrt (+ x y)))
2.9b
(/ (cbrt (+ x y)) (- 1.0 (/ y z)))
3.2b
(* (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (- 1.0 (/ y z))))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
143×add-sqr-sqrt
127×*-un-lft-identity
101×times-frac
81×cbrt-prod
55×add-cube-cbrt associate-*r*
40×cbrt-div
30×difference-of-squares
20×add-exp-log frac-times flip3-+ flip-+ distribute-lft-out
16×pow1
15×distribute-lft-out--
14×associate-*l/
11×add-cbrt-cube
swap-sqr
associate-*l*
pow1/3 associate-*r/ prod-exp cbrt-unprod associate-/l* unswap-sqr
associate-/r*
pow-prod-down
associate-/r/ add-log-exp
cbrt-undiv div-exp
flip3-- pow-sqr *-commutative pow-prod-up flip-- div-inv associate-/l/
pow2 frac-2neg pow-plus clear-num
Counts
4 → 225
Calls
4 calls:
3.0ms
(cbrt (+ x y))
11.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
12.0ms
(/ (cbrt (+ x y)) (- 1.0 (/ y z)))
34.0ms
(* (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (- 1.0 (/ y z))))

series183.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(cbrt (+ x y))
45.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
84.0ms
(/ (cbrt (+ x y)) (- 1.0 (/ y z)))
15.0ms
(* (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (- 1.0 (/ y z))))

simplify3.6min

Counts
237 → 237
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01120
11920
22820
33812
4539
5759
61079
71689
83479
911109
1049549
done50009
01120
11920
22820
33812
4539
5759
61079
71689
83479
911109
1049549
done50009
01324
12520
24414
35614
47414
510314
615614
718114
820914
923114
done23114
01323
12319
23619
35414
47614
510414
615714
718214
821014
923214
done23214
01423
12323
23920
35814
47914
510814
615714
718014
821114
923314
done23314
01322
12122
23619
35514
47714
510514
615414
717714
820814
923014
done23014
01221
12321
24121
36913
410710
515310
622410
737610
871810
9211410
done500010
01221
12221
24021
36813
414110
531710
675610
7284910
done500110
01229
12929
29619
328713
490011
5265011
done500111
01340
13440
29720
331220
4133419
done500019
01551
13451
211723
348118
4190011
done500011
01562
13862
211424
338218
4136811
done500111
01343
12143
23043
34027
45521
57721
610921
716921
835221
9110421
10493721
done500021
01221
12021
22921
33913
45410
57610
610810
716710
834910
9110310
10490810
done500010
01362
13162
210622
339314
4104611
5331611
done500011
01221
12021
22921
33913
45410
57610
610810
716710
834910
9110310
10490810
done500010
01221
12021
22921
33913
45410
57610
610810
716710
834910
9110310
10490810
done500010
01122
12922
24022
35722
49822
521322
663722
7246622
done500022
01431
12727
25827
39327
414627
520027
624827
729527
835327
941627
1041727
done41727
01522
13622
25722
38922
415522
531122
680522
7280522
done500022
01623
13221
26721
311321
417921
525921
633521
740521
847921
955021
1055121
done55121
01522
13622
25722
38922
415322
531322
679522
7281722
done500022
01623
13221
26721
311321
417721
525721
633121
740121
847521
954621
1054721
done54721
01022
11822
22622
34122
46622
510722
616522
733322
8160322
done500122
01015
11715
23415
35615
48915
512215
615315
717715
819315
919415
done19415
01118
12818
24018
35718
49618
520918
662318
7245218
done500018
01318
12416
24716
36916
410316
513316
615516
718316
822816
929016
1029116
done29116
01018
11718
22618
34118
46618
510718
616918
733718
8161718
done500018
0910
11410
22310
33210
44610
55510
66010
76510
86710
done6710
01118
13018
24018
35718
49818
521718
663618
7248718
done500018
01318
12416
24716
36916
410316
513316
615516
718316
822816
929016
1029116
done29116
01018
11918
22618
34118
46618
510718
616518
733318
8160918
done500018
0910
11410
22310
33210
44610
55510
66010
76510
86710
done6710
01116
11516
21816
done1816
01116
11516
21816
done1816
01317
11917
22517
32917
43017
done3017
01317
11917
22517
32917
43017
done3017
01217
11817
22417
32817
42917
done2917
01217
11817
22417
32817
42917
done2917
01333
12333
23733
33833
done3833
01221
11821
22321
done2321
01434
12434
24534
38034
412534
515234
615334
done15334
01327
12127
23227
34327
45327
55827
done5827
0922
11720
22920
35120
48120
510020
done10020
01428
12128
22928
34028
45028
55528
done5528
01529
12229
23029
34129
45129
55629
done5629
0922
11720
22920
35120
48120
510020
done10020
01529
12529
24629
38029
412529
515229
615329
done15329
01422
12222
23322
34422
45422
55922
done5922
01017
11815
23015
35215
48215
510215
done10215
01523
12223
23023
34123
45123
55623
done5623
01624
12324
23124
34224
45224
55724
65824
done5824
01017
11815
23015
35215
48215
510215
done10215
01526
12725
24825
38123
415423
517423
done17423
01419
12418
23518
34616
46816
57016
done7016
0914
11711
2269
3399
4589
done589
01520
12419
23219
34317
46417
done6417
01621
12520
23320
34418
46518
56718
done6718
0914
11711
2269
3399
4589
done589
01526
12725
24825
38123
415423
517423
done17423
01419
12418
23518
34616
46816
57016
done7016
0914
11711
2269
3399
4589
done589
01520
12419
23219
34317
46417
done6417
01621
12520
23320
34418
46518
56718
done6718
0914
11711
2269
3399
4589
done589
01535
12935
27635
316435
431835
539035
639835
done39835
01428
12428
24528
38328
412528
513728
613928
done13928
01023
12021
24821
311821
422521
528121
done28121
01529
12429
24229
38129
412329
513529
613729
done13729
01630
12530
24330
38130
412330
513530
613830
done13830
01023
12021
24821
311821
422521
528121
done28121
01429
12429
24529
38029
412529
515229
615329
done15329
01322
12122
23222
34322
45322
55822
done5822
0917
11715
22915
35115
48115
510015
done10015
01423
12123
22923
34023
45023
55523
done5523
01524
12224
23024
34124
45124
55624
done5624
0917
11715
22915
35115
48115
510015
done10015
01425
12625
24623
310923
416123
516623
done16623
01318
12318
23416
36616
47516
done7516
0813
11611
2259
3389
4579
done579
01419
12319
23117
36317
47217
done7217
01520
12420
23218
36418
47518
done7518
0813
11611
2259
3389
4579
done579
0711
1139
2219
done219
0614
1814
2106
3153
4213
5313
6543
71103
83193
912593
done50013
01424
13824
28624
321716
472013
5285313
done500113
01326
12826
25626
313018
425115
547515
688115
7175715
done500115
01015
11615
22115
32415
42815
53415
63815
done3815
0614
1814
2106
3153
4213
5313
6543
71103
83193
912593
done50013
01628
13828
25828
38928
415328
529928
674028
7259428
done500128
02028
14528
27628
312928
423228
543928
694928
7300128
done500028
02028
14528
27628
312928
423628
544628
696928
7301728
done500028
01528
12728
24328
37228
412028
519128
628428
748228
8181228
done500028
01624
13924
26324
39624
416124
530424
675124
7261924
done500024
01524
12824
24824
37924
413024
520124
630224
749424
8180624
done500024
01624
13924
26324
39524
416024
530424
674624
7260524
done500124
01524
12824
24824
37824
412724
519724
628724
748224
8176324
done500124
01112
11612
22012
done2012
01011
11611
22111
32211
done2211
01011
11311
21611
done1611
01021
11621
23611
38711
425311
580711
6269811
done500111
01123
11423
21723
done1723
01011
11311
21611
done1611
01132
12132
24012
38412
418611
545811
6124911
7441311
done500011
01011
11311
21611
done1611
01011
11311
21611
done1611
055
165
done65
066
186
2146
3186
4215
done215
01324
11824
22124
done2124
01112
11412
21712
done1712
01217
11517
21817
done1817
01112
11412
21712
done1712
0812
11110
21310
done1310
01011
11311
21611
done1611
01318
11518
done1518
01213
11513
21613
done1613
01419
11619
done1619
01314
11614
21914
done1914
0812
11110
21310
done1310
01011
11311
21611
done1611
01219
11719
22019
done2019
01112
11412
21712
done1712
01112
11412
21712
done1712
01112
11412
21712
done1712
077
1105
2125
done125
01011
11311
21611
done1611
01213
11413
done1413
01213
11513
21613
done1613
01314
11514
done1514
01314
11614
21914
done1914
077
1105
2125
done125
01011
11311
21611
done1611
01016
11615
21915
done1915
01011
11311
21611
done1611
099
1138
2168
done168
01011
11311
21611
done1611
034
151
done51
0910
11210
21510
done1510
01010
1139
done139
01112
11412
21512
done1512
01111
11410
done1410
01213
11513
21813
done1813
034
151
done51
0910
11210
21510
done1510
01016
11615
21915
done1915
01011
11311
21611
done1611
099
1138
2168
done168
01011
11311
21611
done1611
034
151
done51
0910
11210
21510
done1510
01010
1139
done139
01112
11412
21512
done1512
01111
11410
done1410
01213
11513
21813
done1813
034
151
done51
0910
11210
21510
done1510
01325
12225
23425
34025
done4025
01112
11412
21712
done1712
01218
11718
22218
32318
done2318
01112
11412
21712
done1712
0813
11311
21911
32411
done2411
01011
11311
21611
done1611
01319
11719
21919
32019
done2019
01213
11513
21613
done1613
01420
11820
22020
32120
done2120
01314
11614
21914
done1914
0813
11311
21911
32411
done2411
01011
11311
21611
done1611
01219
11719
22019
done2019
01112
11412
21712
done1712
01112
11412
21712
done1712
01112
11412
21712
done1712
077
1105
2125
done125
01011
11311
21611
done1611
01213
11413
done1413
01213
11513
21613
done1613
01314
11514
done1514
01314
11614
21914
done1914
077
1105
2125
done125
01011
11311
21611
done1611
0915
11515
21815
done1815
01011
11311
21611
done1611
088
1128
2158
done158
01011
11311
21611
done1611
023
141
done41
0910
11210
21510
done1510
099
1129
done129
01112
11412
21512
done1512
01010
11310
done1310
01213
11513
21813
done1813
023
141
done41
0910
11210
21510
done1510
077
1117
2147
done147
0910
11510
22210
32810
43210
done3210
01118
11618
21918
done1918
01011
11311
21611
done1611
066
194
2114
done114
01112
11312
done1312
01213
11413
done1413
066
194
2114
done114
01011
11611
22311
32911
43311
done3311
01011
11611
22311
32911
43311
done3311
0910
11510
22210
32810
43210
done3210
0910
11510
22210
32810
43210
done3210
01011
11611
22311
32911
43311
done3311
01011
11611
22311
32911
43311
done3311
0910
11510
22210
32810
43210
done3210
01214
13114
27314
318514
457814
5197414
done500014
01116
12116
23816
37416
412816
520616
629816
748816
8188316
done500116
01318
12416
24716
36916
410316
513316
615516
718316
822816
929016
1029116
done29116
0910
11410
22310
33210
44610
55510
66010
76510
86710
done6710
023
151
done51
023
161
done61
047
1117
2247
3407
4597
5757
6827
7847
done847
059
169
done69
023
161
done61
0611
197
2107
done107
0610
1910
2117
3127
done127
0610
1910
21310
31810
43610
57810
618210
756310
8223810
done500010
047
1117
2247
3407
4597
5757
6827
7847
done847
0721
1821
done821
0610
1710
done710
0729
11629
22311
3376
4956
52146
65136
717246
done50006
0610
185
done85
0610
185
done85
0817
12217
23117
34817
49117
521217
662017
7244517
done500117
0925
11721
23221
34521
46521
58621
610321
712621
816921
923121
1023221
done23221
01217
13017
24617
37817
414417
530217
679217
7280717
done500017
01117
12215
23715
34915
46615
58615
610315
712615
816915
923115
1023215
done23215
01217
13017
24617
37817
414417
530317
678117
7279717
done500017
01117
12215
23715
34915
46615
58615
610315
712615
816915
923115
1023215
done23215
0717
11217
21917
33417
45917
510017
615617
732417
8165317
done500017
059
179
289
done89
0721
1821
done821
0611
1711
done711
0611
1711
done711
0611
1711
done711
035
153
done51
059
169
done69
035
153
done51
059
169
done69
035
153
done51
059
169
done69
035
153
done51
059
169
done69
0723
11223
21413
3237
4387
5647
61367
73517
812697
done50007
0611
1711
done711
0611
174
284
done84
0611
174
284
done84
023
141
done41
059
169
done69
0611
1711
done711
0611
1711
done711
0811
11011
done1011
0811
11011
done1011
0811
11011
done1011
0811
11011
done1011
0611
174
284
done84
0611
174
284
done84
033
151
done51
033
161
done61
0715
1915
done915
0710
1910
done910
077
1116
done116
077
1116
done116
0716
11116
21316
done1316
0610
1810
done810
066
1104
2134
done134
0610
1810
done810
0710
1910
done910
059
169
done69
059
169
done69
0610
1810
done810
0610
1810
done810
059
169
done69
01013
12613
23513
35213
49113
520313
660913
7244613
done500113
0913
11513
22113
33613
46113
510213
616013
732813
8159613
done500013
01013
12613
23513
35213
49513
521313
662313
7244713
done500113
0913
11513
22113
33613
46113
510213
616013
732813
8158513
done500013
055
165
done65
055
165
done65
0610
1710
done710
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
0611
1711
done711
055
165
done65
0614
1814
2106
3153
4213
5313
6543
71103
83193
912593
done50013
055
165
done65
055
165
done65
011
done11
011
done11
011
done11
011
done11
011
done11
011
done11
02840
16737
215630
344824
4144120
done500019
01112
12210
2468
31315
42863
56173
619803
done50013
01517
13116
26614
318911
455310
5213910
done50009
02740
16637
215431
348420
4149418
done500118
0910
1198
2355
3722
41262
52642
65682
716352
done50002
01213
12312
24011
39510
42279
55467
612046
734602
done50002

prune275.0ms

Filtered
160 candidates to 237 candidates (-48.1%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New2370237
Fresh066
Picked011
Done022
Total2379246

Merged error: 5.0b

Counts
246 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ (+ x y) (- 1.0 (/ y z))))
6.0b
(/ (+ x y) (- 1.0 (/ y z)))
6.0b
(/ (+ x y) (- 1.0 (/ y z)))
6.0b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
146×add-sqr-sqrt
143×*-un-lft-identity
115×times-frac
51×add-cube-cbrt
38×difference-of-squares
30×cbrt-prod
27×distribute-lft-out
19×distribute-lft-out--
18×associate-/r*
12×associate-/l*
10×add-exp-log add-cbrt-cube
associate-/r/
associate-/l/
pow1 flip3-- flip-- div-inv add-log-exp
cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+
cbrt-div pow1/3
Counts
4 → 189
Calls
4 calls:
14.0ms
(cbrt (/ (+ x y) (- 1.0 (/ y z))))
12.0ms
(/ (+ x y) (- 1.0 (/ y z)))
13.0ms
(/ (+ x y) (- 1.0 (/ y z)))
12.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series127.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(cbrt (/ (+ x y) (- 1.0 (/ y z))))
12.0ms
(/ (+ x y) (- 1.0 (/ y z)))
12.0ms
(/ (+ x y) (- 1.0 (/ y z)))
12.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify1.2min

Counts
201 → 201
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01011
11511
21911
done1911
0910
11510
22010
32110
done2110
0910
11210
21510
done1510
01229
13629
211313
330511
489211
5276111
done500111
01021
11321
21621
done1621
0910
11210
21510
done1510
01029
12029
25511
313311
434711
586711
6230211
done500111
0910
11210
21510
done1510
0910
11210
21510
done1510
044
184
2104
3114
done114
066
186
2146
3186
4215
done215
01223
12123
23323
33923
done3923
01011
11311
21611
done1611
01116
11616
22116
32216
done2216
01011
11311
21611
done1611
0711
1129
2189
3239
done239
0910
11210
21510
done1510
01217
11617
21817
31917
done1917
01112
11412
21512
done1512
01318
11718
21918
32018
done2018
01213
11513
21813
done1813
0711
1129
2189
3239
done239
0910
11210
21510
done1510
01118
11618
21918
done1918
01011
11311
21611
done1611
01011
11311
21611
done1611
01011
11311
21611
done1611
066
194
2114
done114
0910
11210
21510
done1510
01112
11312
done1312
01112
11412
21512
done1512
01213
11413
done1413
01213
11513
21813
done1813
066
194
2114
done114
0910
11210
21510
done1510
0915
11515
21815
done1815
0910
11210
21510
done1510
088
1128
2158
done158
0910
11210
21510
done1510
023
141
done41
089
1119
2149
done149
099
1129
done129
01011
11311
21411
done1411
01010
11310
done1310
01112
11412
21712
done1712
023
141
done41
089
1119
2149
done149
0915
11515
21815
done1815
0910
11210
21510
done1510
088
1128
2158
done158
0910
11210
21510
done1510
023
141
done41
089
1119
2149
done149
099
1129
done129
01011
11311
21411
done1411
01010
11310
done1310
01112
11412
21712
done1712
023
141
done41
089
1119
2149
done149
077
1117
2147
done147
089
1149
2219
3279
4399
done399
01017
11517
21817
done1817
0910
11210
21510
done1510
055
183
2103
done103
01011
11211
done1211
01112
11312
done1312
055
183
2103
done103
0910
11510
22210
32810
43210
done3210
0910
11510
22210
32810
43210
done3210
089
1149
2219
3279
4399
done399
089
1149
2219
3279
4399
done399
01113
13013
27213
318413
457213
5197613
done500013
01015
12015
23715
37315
412715
520515
629715
748715
8186715
done500015
01217
12915
27915
323815
465915
5176215
6398815
done500015
089
1139
2289
3669
41509
52729
63759
75359
88399
912009
1012609
done12609
01011
11511
21911
done1911
0910
11510
22010
32110
done2110
0910
11210
21510
done1510
01229
13629
211313
330511
489211
5276111
done500111
01021
11321
21621
done1621
0910
11210
21510
done1510
01029
12029
25511
313311
434711
586711
6230211
done500111
0910
11210
21510
done1510
0910
11210
21510
done1510
044
184
2104
3114
done114
066
186
2146
3186
4215
done215
01223
12123
23323
33923
done3923
01011
11311
21611
done1611
01116
11616
22116
32216
done2216
01011
11311
21611
done1611
0711
1129
2189
3239
done239
0910
11210
21510
done1510
01217
11617
21817
31917
done1917
01112
11412
21512
done1512
01318
11718
21918
32018
done2018
01213
11513
21813
done1813
0711
1129
2189
3239
done239
0910
11210
21510
done1510
01118
11618
21918
done1918
01011
11311
21611
done1611
01011
11311
21611
done1611
01011
11311
21611
done1611
066
194
2114
done114
0910
11210
21510
done1510
01112
11312
done1312
01112
11412
21512
done1512
01213
11413
done1413
01213
11513
21813
done1813
066
194
2114
done114
0910
11210
21510
done1510
0915
11515
21815
done1815
0910
11210
21510
done1510
088
1128
2158
done158
0910
11210
21510
done1510
023
141
done41
089
1119
2149
done149
099
1129
done129
01011
11311
21411
done1411
01010
11310
done1310
01112
11412
21712
done1712
023
141
done41
089
1119
2149
done149
0915
11515
21815
done1815
0910
11210
21510
done1510
088
1128
2158
done158
0910
11210
21510
done1510
023
141
done41
089
1119
2149
done149
099
1129
done129
01011
11311
21411
done1411
01010
11310
done1310
01112
11412
21712
done1712
023
141
done41
089
1119
2149
done149
077
1117
2147
done147
089
1149
2219
3279
4399
done399
01017
11517
21817
done1817
0910
11210
21510
done1510
055
183
2103
done103
01011
11211
done1211
01112
11312
done1312
055
183
2103
done103
0910
11510
22210
32810
43210
done3210
0910
11510
22210
32810
43210
done3210
089
1149
2219
3279
4399
done399
089
1149
2219
3279
4399
done399
01113
13013
27213
318413
457213
5197613
done500013
01015
12015
23715
37315
412715
520515
629715
748715
8186715
done500015
01217
12915
27915
323815
465915
5176215
6398815
done500015
089
1139
2289
3669
41509
52729
63759
75359
88399
912009
1012609
done12609
01011
11511
21911
done1911
0910
11510
22010
32110
done2110
0910
11210
21510
done1510
01229
13629
211313
330511
489211
5276111
done500111
01021
11321
21621
done1621
0910
11210
21510
done1510
01029
12029
25511
313311
434711
586711
6230211
done500111
0910
11210
21510
done1510
0910
11210
21510
done1510
044
184
2104
3114
done114
066
186
2146
3186
4215
done215
01223
12123
23323
33923
done3923
01011
11311
21611
done1611
01116
11616
22116
32216
done2216
01011
11311
21611
done1611
0711
1129
2189
3239
done239
0910
11210
21510
done1510
01217
11617
21817
31917
done1917
01112
11412
21512
done1512
01318
11718
21918
32018
done2018
01213
11513
21813
done1813
0711
1129
2189
3239
done239
0910
11210
21510
done1510
01118
11618
21918
done1918
01011
11311
21611
done1611
01011
11311
21611
done1611
01011
11311
21611
done1611
066
194
2114
done114
0910
11210
21510
done1510
01112
11312
done1312
01112
11412
21512
done1512
01213
11413
done1413
01213
11513
21813
done1813
066
194
2114
done114
0910
11210
21510
done1510
0915
11515
21815
done1815
0910
11210
21510
done1510
088
1128
2158
done158
0910
11210
21510
done1510
023
141
done41
089
1119
2149
done149
099
1129
done129
01011
11311
21411
done1411
01010
11310
done1310
01112
11412
21712
done1712
023
141
done41
089
1119
2149
done149
0915
11515
21815
done1815
0910
11210
21510
done1510
088
1128
2158
done158
0910
11210
21510
done1510
023
141
done41
089
1119
2149
done149
099
1129
done129
01011
11311
21411
done1411
01010
11310
done1310
01112
11412
21712
done1712
023
141
done41
089
1119
2149
done149
077
1117
2147
done147
089
1149
2219
3279
4399
done399
01017
11517
21817
done1817
0910
11210
21510
done1510
055
183
2103
done103
01011
11211
done1211
01112
11312
done1312
055
183
2103
done103
0910
11510
22210
32810
43210
done3210
0910
11510
22210
32810
43210
done3210
089
1149
2219
3279
4399
done399
089
1149
2219
3279
4399
done399
01113
13013
27213
318413
457213
5197613
done500013
01015
12015
23715
37315
412715
520515
629715
748715
8186715
done500015
01217
12915
27915
323815
465915
5176215
6398815
done500015
089
1139
2289
3669
41509
52729
63759
75359
88399
912009
1012609
done12609
01011
11311
21611
done1611
01011
11311
21611
done1611
01122
11422
21722
done1722
01011
11311
21611
done1611
01011
11311
21611
done1611
01011
11311
21611
done1611
01324
12224
23424
34024
done4024
01112
11412
21712
done1712
01217
11717
22217
32317
done2317
01112
11412
21712
done1712
0812
11310
21910
32410
done2410
01011
11311
21611
done1611
01318
11718
21918
32018
done2018
01213
11513
21613
done1613
01419
11819
22019
32119
done2119
01314
11614
21914
done1914
0812
11310
21910
32410
done2410
01011
11311
21611
done1611
01219
11719
22019
done2019
01112
11412
21712
done1712
01112
11412
21712
done1712
01112
11412
21712
done1712
077
1105
2125
done125
01011
11311
21611
done1611
01213
11413
done1413
01213
11513
21613
done1613
01314
11514
done1514
01314
11614
21914
done1914
077
1105
2125
done125
01011
11311
21611
done1611
01016
11616
21916
done1916
01011
11311
21611
done1611
099
1139
2169
done169
01011
11311
21611
done1611
034
151
done51
0910
11210
21510
done1510
01010
11310
done1310
01112
11412
21512
done1512
01111
11411
done1411
01213
11513
21813
done1813
034
151
done51
0910
11210
21510
done1510
01016
11616
21916
done1916
01011
11311
21611
done1611
099
1139
2169
done169
01011
11311
21611
done1611
034
151
done51
0910
11210
21510
done1510
01010
11310
done1310
01112
11412
21512
done1512
01111
11411
done1411
01213
11513
21813
done1813
034
151
done51
0910
11210
21510
done1510
022
141
done41
0910
11210
21510
done1510
044
154
done54
088
1128
2158
done158
01214
13114
27314
318514
457814
5198514
done500014
01018
12314
24114
35814
47014
57414
67514
done7514
01116
12116
23816
37416
412816
520616
629816
748816
8184016
done500016
066
176
done76
044
154
done54
066
186
2116
done116
01123
11423
21723
done1723
01011
11311
21611
done1611
01132
11532
22012
3259
4319
5419
6629
71209
83259
912469
done50009
01011
11311
21611
done1611
01011
11311
21611
done1611
011
done11
011
done11
011
done11
011
done11
011
done11
011
done11
011
done11
011
done11
011
done11
02740
16540
215740
335637
488926
5274823
done500123
01820
14117
210915
336213
497311
524037
done50007
01923
13723
210123
337122
4161017
done500016

prune382.0ms

Filtered
138 candidates to 201 candidates (-45.7%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New2010201
Fresh055
Picked011
Done033
Total2019210

Merged error: 5.0b

Counts
210 → 9

regimes273.0ms

Accuracy

0% (1.9b remaining)

Error of 7.3b against oracle of 5.4b and baseline of 7.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
199
done99

end0.0ms

sample600.0ms

Algorithm
intervals
Results
259.0ms7997×body80valid
0.0msbody2560valid
0.0msbody640valid

Profiling

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