Details

Time bar (total: 14.7min)

sample15.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0711
11111
21211
done1211

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (+ x 1.0))
0.0b
(/ 1.0 (- x 1.0))
0.0b
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
60×*-un-lft-identity
35×times-frac
30×add-sqr-sqrt
22×add-cube-cbrt
11×distribute-lft-out
associate-/r*
add-exp-log add-cbrt-cube
associate-/l* distribute-lft-out--
add-log-exp
associate-/r/ difference-of-squares
pow1
cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv
+-commutative flip3-- frac-add sum-log flip--
Counts
3 → 87
Calls
3 calls:
6.0ms
(/ x (+ x 1.0))
6.0ms
(/ 1.0 (- x 1.0))
31.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series13.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(/ x (+ x 1.0))
2.0ms
(/ 1.0 (- x 1.0))
7.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

simplify1.5min

Counts
96 → 96
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
0913
11512
21712
done1712
0812
11212
21312
done1312
0812
11512
21712
done1712
0925
11325
21425
done1425
0812
11212
21312
done1312
0935
12635
27513
322613
463413
5173713
6423713
done500113
0812
11212
21312
done1312
0812
11212
21312
done1312
0711
11811
22911
34511
48111
51219
61687
72657
813417
944787
done50017
057
1157
2347
3567
41017
51677
62617
74407
814367
943847
done50007
01015
13315
27915
322415
463115
5189315
done500015
01135
13429
27629
315329
432729
558229
6138829
7401429
done500029
0923
12523
24723
39423
420123
537123
679423
7213323
done500023
0711
11211
21611
done1611
0711
11111
21211
done1211
0711
11111
21211
done1211
0711
11111
21211
done1211
0711
11111
21211
done1211
0711
11111
21211
done1211
067
1107
2127
done127
056
1106
2136
3146
done146
056
176
286
done86
0817
11917
2649
31727
43927
511647
643707
done50007
0613
1813
2913
done913
056
176
286
done86
0617
11517
2327
3767
41767
54267
615217
done50007
056
176
286
done86
056
176
286
done86
022
done22
044
164
2104
3124
4133
done133
0815
11615
22615
33215
done3215
067
187
297
done97
0710
11110
21410
31510
done1510
067
187
297
done97
057
195
2155
3205
done205
056
176
286
done86
0811
11111
21311
31411
done1411
078
198
2108
done108
057
195
2155
3205
done205
056
176
286
done86
0712
11112
21212
done1212
067
187
297
done97
067
187
297
done97
067
187
297
done97
044
162
282
done82
056
176
286
done86
068
178
done78
068
188
298
done98
044
162
282
done82
056
176
286
done86
0711
11311
21411
done1411
056
176
286
done86
066
1106
2116
done116
056
176
286
done86
023
141
done41
045
165
275
done75
077
1107
done107
067
187
297
done97
023
141
done41
045
165
275
done75
055
195
2105
done105
045
195
2145
3175
done175
0611
11011
21111
done1111
056
176
286
done86
033
151
done51
067
177
done77
033
151
done51
056
1106
2136
3156
done156
056
1106
2136
3156
done156
045
195
2145
3175
done175
079
1229
2449
3809
41699
55179
622989
done50019
069
1119
2209
3379
4629
51039
61619
73299
816199
done50009
067
197
2107
done107
056
196
2116
3126
done126
056
166
done66
0817
13017
2919
32167
44897
512897
629907
done50017
0613
1713
done713
056
166
done66
0617
11417
2307
3687
41497
52967
65767
713577
847517
done50007
056
166
done66
056
166
done66
022
done22
044
184
2104
3114
done114
0815
11515
22415
33015
done3015
067
177
done77
0710
11010
21210
31310
done1310
067
177
done77
057
195
2155
3205
done205
056
166
done66
057
195
2155
3205
done205
056
166
done66
0712
11012
done1012
067
177
done77
067
177
done77
067
177
done77
044
162
282
done82
056
166
done66
044
162
282
done82
056
166
done66
0711
11211
done1211
056
166
done66
066
196
done96
056
166
done66
023
141
done41
045
155
done55
023
141
done41
045
155
done55
055
185
done85
045
155
done55
0611
1911
done911
056
166
done66
033
151
done51
033
151
done51
056
166
done66
056
166
done66
045
155
done55
079
1219
2309
3479
4889
52089
66139
724419
done50009
069
1119
2209
3379
4629
51039
61619
73299
815969
done50009
01214
13112
28312
316512
430312
550912
682012
7167412
done500012
01317
13117
27713
321613
475413
5245213
done500013
01317
13117
27713
321613
475413
5245213
done500013
0912
12312
26010
311410
418810
52939
64399
78119
814809
925269
done50009
01521
14019
29815
323715
474315
5251111
done500111
01521
14019
29815
323715
474315
5251111
done500111
01115
13213
28711
316311
431411
559511
6144711
done500011
01115
12715
26111
312211
426211
57659
640669
done50019
01115
12715
26111
312211
426211
57659
640669
done50019

prune146.0ms

Filtered
72 candidates to 96 candidates (-33.3%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New93396
Fresh000
Picked101
Done000
Total94397

Merged error: 0b

Counts
97 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1.0 (- x 1.0))
0.0b
(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
0.0b
(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)
0.0b
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
138×*-un-lft-identity
55×times-frac
35×distribute-lft-out
28×add-sqr-sqrt
22×cbrt-prod
20×add-cube-cbrt
16×unpow-prod-down cube-prod
14×distribute-lft-out--
add-exp-log add-cbrt-cube
cube-div add-log-exp
pow1 associate-/r*
difference-of-squares
pow-unpow cbrt-div flip3-+ frac-add flip-+ associate-/l*
cube-mult unpow3 associate-/r/ sqr-pow
cbrt-undiv +-commutative pow-to-exp flip3-- pow-pow frac-2neg pow1/3 div-exp pow-exp clear-num sum-log flip-- rem-cbrt-cube div-inv rem-cube-cbrt
Counts
4 → 124
Calls
4 calls:
6.0ms
(/ 1.0 (- x 1.0))
30.0ms
(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
32.0ms
(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)
27.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series32.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ 1.0 (- x 1.0))
14.0ms
(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
9.0ms
(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)
7.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

simplify4.6min

Counts
136 → 136
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
0913
11512
21712
done1712
0812
11212
21312
done1312
0812
11512
21712
done1712
0925
11325
21425
done1425
0812
11212
21312
done1312
0935
12635
27513
322613
463413
5173713
6423713
done500113
0812
11212
21312
done1312
0812
11212
21312
done1312
0711
11811
22911
34511
48111
51219
61687
72657
813417
944787
done50017
057
1157
2347
3567
41017
51677
62617
74407
814367
943847
done50007
01015
13315
27915
322415
463115
5189315
done500015
01135
13429
27629
315329
432729
558229
6138829
7401429
done500029
0923
12523
24723
39423
420123
537123
679423
7213323
done500023
0711
11211
21611
done1611
0711
11111
21211
done1211
0711
11111
21211
done1211
0711
11111
21211
done1211
0711
11111
21211
done1211
0711
11111
21211
done1211
01014
11514
21614
done1614
01014
11514
21614
done1614
033
161
done61
01117
11917
22717
35117
410717
526217
688517
7330317
done500017
01014
11814
22414
34214
48314
519014
656414
7219014
done500014
0913
12011
22811
33911
46111
512211
634311
7127011
done500011
01127
12527
24714
39214
422914
558414
6184014
done500014
01014
12211
22911
33911
46211
512311
633811
7126811
done500011
01014
12214
22914
34814
47914
514814
637514
7131214
done500114
01014
12214
22914
34814
47914
514814
637514
7131214
done500114
033
1131
done131
0913
12113
24413
310213
427713
576513
6218113
done500013
045
1151
2191
3231
done231
0913
12113
24413
310213
427713
576513
6218113
done500013
045
1151
2191
3231
done231
0913
12113
24413
310213
427713
576513
6218113
done500013
045
1151
2191
3231
done231
0913
12113
24413
310213
427713
576513
6218113
done500013
045
1151
2191
3231
done231
0913
12113
24413
310213
427713
576513
6218113
done500013
033
1131
done131
0913
12113
24413
310213
427713
576513
6218113
done500013
0823
11823
24023
38823
414323
521123
639823
766923
8141423
done500023
01014
12414
25314
311614
431014
585614
6243314
done500014
01014
12214
25114
313314
436314
5105014
6339114
done500014
01129
12223
24523
310323
427823
577423
6216023
done500023
01014
12211
24511
310311
427811
577411
6216511
done500011
01141
12727
28315
334915
4169715
done500015
01127
12527
24714
39214
422914
558414
6184014
done500014
01014
12211
22911
33911
46211
512311
633811
7126811
done500011
01014
12214
22914
34814
47914
514814
637514
7131214
done500114
01014
12214
22914
34814
47914
514814
637514
7131214
done500114
033
1131
done131
0913
12113
24413
310213
427713
576513
6218113
done500013
045
1151
2191
3231
done231
0913
12113
24413
310213
427713
576513
6218113
done500013
045
1151
2191
3231
done231
0913
12113
24413
310213
427713
576513
6218113
done500013
045
1151
2191
3231
done231
0913
12113
24413
310213
427713
576513
6218113
done500013
045
1151
2191
3231
done231
0913
12113
24413
310213
427713
576513
6218113
done500013
033
1131
done131
0913
12113
24413
310213
427713
576513
6218113
done500013
0913
12813
26113
321913
4139213
done500013
079
1289
2949
34409
424059
done50019
01117
13917
210417
337217
4228617
done500017
01337
14431
210831
333731
4188031
done500031
01125
13525
28925
335025
4210125
done500025
0913
12213
24413
310813
433213
5110113
6369513
done500113
0823
11823
24023
38823
414323
521123
639823
766923
8141423
done500023
01014
12214
24614
310414
427914
577114
6219514
done500014
01014
12214
24614
310414
427914
577114
6219514
done500014
01115
12013
22713
33713
45813
511413
632213
7124113
done500013
01115
12013
22713
33713
45813
511413
632213
7124113
done500013
01115
12312
24612
310412
427912
576712
6217612
done500012
01115
12312
25012
310812
428312
578712
6220212
done500012
01228
12625
24815
39315
423215
559914
6187414
done500014
01115
12312
23012
34012
46112
512612
634212
7127512
done500012
01115
12312
23012
34912
47812
515112
638212
7131012
done500012
01115
12312
23012
34912
47812
515112
638212
7131012
done500012
044
1141
2181
done181
01014
12211
24511
310311
427811
577411
6216511
done500011
056
1161
done161
01014
12211
24511
310311
427811
577411
6216511
done500011
056
1161
done161
01014
12211
24511
310311
427811
577411
6216511
done500011
056
1161
done161
01014
12211
24511
310311
427811
577411
6216511
done500011
056
1161
done161
01014
12211
24511
310311
427811
577411
6216511
done500011
044
1141
2181
done181
01014
12211
24511
310311
427811
577411
6216511
done500011
0924
11924
24124
38924
414424
521224
639924
767024
8140924
done500124
0812
11212
21312
done1312
01230
12324
24624
310424
427924
576924
6216924
done500024
01115
12312
24612
310412
427912
576712
6217612
done500012
01228
12625
24815
39315
423215
559914
6187414
done500014
01115
12312
23012
34012
46112
512612
634212
7127512
done500012
01115
12312
23012
34912
47812
515112
638212
7131012
done500012
01115
12312
23012
34912
47812
515112
638212
7131012
done500012
044
1141
2181
done181
01014
12211
24511
310311
427811
577411
6216511
done500011
056
1161
done161
01014
12211
24511
310311
427811
577411
6216511
done500011
056
1161
done161
01014
12211
24511
310311
427811
577411
6216511
done500011
056
1161
done161
01014
12211
24511
310311
427811
577411
6216511
done500011
056
1161
done161
01014
12211
24511
310311
427811
577411
6216511
done500011
044
1141
2181
done181
01014
12211
24511
310311
427811
577411
6216511
done500011
0812
11212
21312
done1312
0924
11924
24124
38924
414424
521224
639924
767024
8140924
done500124
01115
12315
24715
310515
427815
577015
6219115
done500015
01115
12315
24715
310515
427815
577015
6219115
done500015
022
141
done41
01014
12211
24511
310311
427811
577411
6216511
done500011
01216
12014
22714
34214
46314
512114
633214
7125114
done500114
01216
12014
22714
34214
46314
512114
633214
7125114
done500114
01014
12911
26211
322011
4139911
done500111
0810
1297
2957
34447
424027
done50007
01218
14015
210515
337315
4228615
done500115
01438
14529
210929
333829
4187829
done500129
01226
13623
29023
335123
4210623
done500023
01014
12311
24511
310911
433311
5110011
6369611
done500011
01231
12425
24725
310525
428025
577625
6217025
done500025
01115
12312
24612
310412
427912
576712
6217612
done500012
01244
12213
24513
310313
427813
577013
6217113
done500013
01115
12312
24612
310412
427912
576712
6217612
done500012
01115
12312
24612
310412
427912
576712
6217612
done500012
067
1107
2127
done127
056
1106
2136
3146
done146
056
176
286
done86
0817
11917
2649
31727
43927
511647
643707
done50007
0613
1813
2913
done913
056
176
286
done86
0617
11517
2327
3767
41767
54267
615217
done50007
056
176
286
done86
056
176
286
done86
022
done22
044
164
2104
3124
4133
done133
0815
11615
22615
33215
done3215
067
187
297
done97
0710
11110
21410
31510
done1510
067
187
297
done97
057
195
2155
3205
done205
056
176
286
done86
0811
11111
21311
31411
done1411
078
198
2108
done108
057
195
2155
3205
done205
056
176
286
done86
0712
11112
21212
done1212
067
187
297
done97
067
187
297
done97
067
187
297
done97
044
162
282
done82
056
176
286
done86
068
178
done78
068
188
298
done98
044
162
282
done82
056
176
286
done86
0711
11311
21411
done1411
056
176
286
done86
066
1106
2116
done116
056
176
286
done86
023
141
done41
045
165
275
done75
077
1107
done107
067
187
297
done97
023
141
done41
045
165
275
done75
055
195
2105
done105
045
195
2145
3175
done175
0611
11011
21111
done1111
056
176
286
done86
033
151
done51
067
177
done77
033
151
done51
056
1106
2136
3156
done156
056
1106
2136
3156
done156
045
195
2145
3175
done175
079
1229
2449
3809
41699
55179
622989
done50019
069
1119
2209
3379
4629
51039
61619
73299
816199
done50009
01214
13112
28312
316512
430312
550912
682012
7167412
done500012
01317
13117
27713
321613
475413
5245213
done500013
01317
13117
27713
321613
475413
5245213
done500013
01314
13014
27814
315014
426314
541614
659914
7115414
8351214
done500114
01417
13317
27913
319713
464513
5195213
done500013
01417
13317
27913
319713
464513
5195213
done500013
01214
13112
28312
316512
430312
550912
682012
7167412
done500012
01317
13117
27713
321613
475413
5245213
done500013
01521
13521
210021
321818
446718
586217
6149417
7340516
done500116
0912
12312
26010
311410
418810
52939
64399
78119
814809
925269
done50009
01521
14019
29815
323715
474315
5251111
done500111
01521
14019
29815
323715
474315
5251111
done500111

prune195.0ms

Filtered
83 candidates to 136 candidates (-63.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1360136
Fresh022
Picked011
Done000
Total1363139

Merged error: 0b

Counts
139 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (cbrt (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))) (cbrt (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))))
0.0b
(cbrt (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))
0.0b
(cbrt (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))
0.0b
(cbrt (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))

rewrite161.0ms

Algorithm
rewrite-expression-head
Rules
295×*-un-lft-identity
104×times-frac
88×cbrt-prod
87×distribute-lft-out
33×cbrt-div
26×distribute-lft-out--
25×swap-sqr
23×add-sqr-sqrt
15×add-cube-cbrt
11×pow1 flip3-+ associate-*r* associate-*l* frac-add flip-+
frac-times pow1/3
add-exp-log
add-cbrt-cube add-log-exp unswap-sqr
associate-*r/ associate-*l/
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 141
Calls
4 calls:
60.0ms
(* (cbrt (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))) (cbrt (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))))
31.0ms
(cbrt (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))
26.0ms
(cbrt (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))
29.0ms
(cbrt (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))

series81.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* (cbrt (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))) (cbrt (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))))
19.0ms
(cbrt (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))
20.0ms
(cbrt (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))
21.0ms
(cbrt (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))

simplify3.8min

Counts
153 → 153
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
0913
11313
21413
done1413
0913
11313
21413
done1413
01026
11426
21526
done1526
0913
11313
21413
done1413
0913
11313
21413
done1413
0913
11313
21413
done1413
022
141
done41
0812
11212
21312
done1312
034
151
done51
0812
11212
21312
done1312
034
151
done51
0812
11212
21312
done1312
034
151
done51
0812
11212
21312
done1312
034
151
done51
0812
11212
21312
done1312
022
141
done41
0812
11212
21312
done1312
0812
11912
23012
34612
48212
512410
61768
72738
813508
945098
done50018
068
1168
2358
3578
41028
51688
62628
74418
814308
944148
done50008
01116
13416
28016
322516
463016
5188816
done500116
01236
13530
27730
315430
432830
558430
6139030
7400130
done500030
01024
12624
24824
39524
420224
537224
678524
7212124
done500024
0812
11312
21712
done1712
01027
11427
21527
done1527
0913
11313
21413
done1413
01038
11538
21814
32311
42911
53911
66211
712311
833411
9125211
done500011
0913
11313
21413
done1413
0913
11313
21413
done1413
0913
11313
21413
done1413
0913
11313
21413
done1413
01026
11426
21526
done1526
0913
11313
21413
done1413
0913
11313
21413
done1413
0913
11313
21413
done1413
022
141
done41
0812
11212
21312
done1312
034
151
done51
0812
11212
21312
done1312
034
151
done51
0812
11212
21312
done1312
034
151
done51
0812
11212
21312
done1312
034
151
done51
0812
11212
21312
done1312
022
141
done41
0812
11212
21312
done1312
0812
11912
23012
34612
48212
512410
61768
72738
813508
945098
done50018
068
1168
2358
3578
41028
51688
62628
74418
814308
944148
done50008
01116
13416
28016
322516
463016
5188816
done500116
01236
13530
27730
315430
432830
558430
6139030
7400130
done500030
01024
12624
24824
39524
420224
537224
678524
7212124
done500024
0812
11312
21712
done1712
01027
11427
21527
done1527
0913
11313
21413
done1413
01038
11538
21814
32311
42911
53911
66211
712311
833411
9125211
done500011
0913
11313
21413
done1413
0913
11313
21413
done1413
0913
11313
21413
done1413
0913
11313
21413
done1413
01026
11426
21526
done1526
0913
11313
21413
done1413
0913
11313
21413
done1413
0913
11313
21413
done1413
022
141
done41
0812
11212
21312
done1312
034
151
done51
0812
11212
21312
done1312
034
151
done51
0812
11212
21312
done1312
034
151
done51
0812
11212
21312
done1312
034
151
done51
0812
11212
21312
done1312
022
141
done41
0812
11212
21312
done1312
0812
11912
23012
34612
48212
512410
61768
72738
813508
945098
done50018
068
1168
2358
3578
41028
51688
62628
74418
814308
944148
done50008
01116
13416
28016
322516
463016
5188816
done500116
01236
13530
27730
315430
432830
558430
6139030
7400130
done500030
01024
12624
24824
39524
420224
537224
678524
7212124
done500024
0812
11312
21712
done1712
01027
11427
21527
done1527
0913
11313
21413
done1413
01038
11538
21814
32311
42911
53911
66211
712311
833411
9125211
done500011
0913
11313
21413
done1413
0913
11313
21413
done1413
023
151
done51
023
161
done61
0823
11823
24023
38823
414323
521123
639823
766923
8141423
done500023
0925
11325
21425
done1425
023
161
done61
01027
11615
21815
done1815
01026
11626
21915
32015
done2015
01026
11626
22126
32626
44426
58626
619126
757126
8224926
done500026
0823
11823
24023
38823
414323
521123
639823
766923
8141423
done500023
01153
11553
21653
done1653
01026
11426
21526
done1526
01177
12377
23327
34714
410514
524814
664614
7221314
done500114
01026
11513
21613
done1613
01026
11513
21613
done1613
0925
12025
23125
34725
48325
512321
617017
726717
8133917
9455217
done500017
0717
11717
23617
35817
410217
516917
626317
744217
8143517
9440317
done500017
01629
14829
210229
325929
469729
5209527
done500027
01545
14639
210439
319739
438739
573639
6173539
done500039
01537
14037
27037
313337
427137
548035
697633
7250433
done500133
01121
12421
24621
36821
411021
517621
627021
744921
8144221
9443921
done500021
01629
14829
210229
325929
469629
5209627
done500027
01545
14639
210439
319739
438639
573539
6172939
7495539
done500039
01233
13533
28133
322633
463233
5189133
done500033
01373
13661
27861
315561
432961
558561
6139061
7399761
done500061
01641
15141
211641
330041
478741
5221741
done500041
01549
14143
28543
316143
433243
558643
6138943
7400543
done500143
01537
14037
27037
313337
427137
548035
697433
7249333
done500033
01121
12421
24621
36821
411321
518221
627621
745521
8145121
9442821
done500021
01641
15141
211641
330041
478741
5222341
done500141
01549
14143
28543
316143
433243
558643
6139243
7402243
done500043
01149
12749
24949
39649
420349
537349
678749
7213349
done500149
0925
11425
21825
done1825
01153
11553
21653
done1653
01027
11427
21527
done1527
01027
11427
21527
done1527
01027
11427
21527
done1527
035
153
done51
0925
11325
21425
done1425
035
153
done51
0925
11325
21425
done1425
049
163
done61
0925
11325
21425
done1425
049
163
done61
0925
11325
21425
done1425
049
163
done61
0925
11325
21425
done1425
049
163
done61
0925
11325
21425
done1425
049
163
done61
0925
11325
21425
done1425
049
163
done61
0925
11325
21425
done1425
049
163
done61
0925
11325
21425
done1425
049
163
done61
0925
11325
21425
done1425
049
163
done61
0925
11325
21425
done1425
049
163
done61
0925
11325
21425
done1425
049
163
done61
0925
11325
21425
done1425
049
163
done61
0925
11325
21425
done1425
049
163
done61
0925
11325
21425
done1425
049
163
done61
0925
11325
21425
done1425
049
163
done61
0925
11325
21425
done1425
049
163
done61
0925
11325
21425
done1425
035
153
done51
0925
11325
21425
done1425
035
153
done51
0925
11325
21425
done1425
01155
11955
22229
33115
44615
57215
614315
735515
8126515
done500015
01027
11427
21527
done1527
01027
11412
21612
done1612
01027
11412
21612
done1612
023
141
done41
0925
11325
21425
done1425
01027
11427
21527
done1527
01027
11427
21527
done1527
01227
11727
21827
done1827
01227
11727
21827
done1827
01227
11727
21827
done1827
01227
11727
21827
done1827
01027
11412
21612
done1612
01027
11412
21612
done1612
033
151
done51
033
161
done61
01139
11639
21739
done1739
01126
11626
21726
done1726
01115
11814
21914
done1912
01217
11914
22014
done2012
01217
11914
22014
done2012
01217
11914
22014
done2012
01217
11914
22014
done2012
01115
11814
21914
done1912
01140
11840
22140
done2140
01026
11526
21626
done1626
01014
11712
22112
done2112
01026
11526
21626
done1626
01126
11626
21726
done1726
0925
11325
21425
done1425
0925
11325
21425
done1425
0925
11325
21425
done1425
0925
11325
21425
done1425
0925
11325
21425
done1425
0925
11325
21425
done1425
01026
11526
21626
done1626
01026
11526
21626
done1626
0925
11325
21425
done1425
01325
12625
23725
35325
48925
513123
618321
728021
8135421
9453521
done500021
01429
13929
28529
323029
463529
5190929
done500029
01337
13037
25137
39837
420537
537537
679537
7213137
done500037
01325
12625
23725
35325
48925
513123
618321
728021
8135321
9455121
done500021
01429
13929
28529
323029
463729
5190229
done500129
01337
13037
25137
39837
420537
537537
679337
7213037
done500037
02738
17134
221234
386430
4452530
done500030
01619
14017
29013
321113
464713
5198513
done500013
02032
14729
215123
351723
4250719
done500119
02738
17134
221234
386430
4452530
done500030
01619
14017
29013
321113
464713
5198513
done500013
02032
14729
215123
351723
4250719
done500119
02738
17134
221234
386430
4452530
done500030
01619
14017
29013
321113
464713
5198513
done500013
02032
14729
215123
351723
4250719
done500119
02537
16633
220930
388228
4458528
done500028
01619
14017
29013
321113
464713
5198513
done500013
01626
13726
211926
328421
497521
5441918
done500018

prune375.0ms

Filtered
89 candidates to 153 candidates (-71.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1530153
Fresh011
Picked011
Done011
Total1533156

Merged error: 0b

Counts
156 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* 1.0 1.0) (* x x))
0.0b
(* (- x 1.0) (+ x 1.0))
15.6b
(/ (+ (* 1.0 1.0) (* x x)) (* (- x 1.0) (+ x 1.0)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
frac-times flip3-+ associate-/r/ flip-+
add-cube-cbrt
flip3-- flip--
pow1 associate-*l* add-log-exp
associate-*r/ associate-*r* associate-*l/
times-frac associate-/l*
cbrt-undiv div-exp prod-exp cbrt-unprod associate-/l/
+-commutative distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num associate-/r* sum-log *-commutative div-inv distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 73
Calls
3 calls:
4.0ms
(+ (* 1.0 1.0) (* x x))
11.0ms
(* (- x 1.0) (+ x 1.0))
15.0ms
(/ (+ (* 1.0 1.0) (* x x)) (* (- x 1.0) (+ x 1.0)))

series22.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ (* 1.0 1.0) (* x x))
10.0ms
(* (- x 1.0) (+ x 1.0))
7.0ms
(/ (+ (* 1.0 1.0) (* x x)) (* (- x 1.0) (+ x 1.0)))

simplify4.7min

Counts
82 → 82
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01218
12118
23118
34118
45118
56718
68618
710218
810718
done10718
01117
12717
25217
38117
413617
521617
632917
753417
8157017
9481417
done500017
01016
12616
25416
38716
414616
522616
633616
753416
8158316
9490116
done500016
01016
12316
24316
36416
411016
517816
627216
745116
8148016
9479916
done500016
01547
15847
226321
3116621
done500121
01347
15447
228019
3141317
done500017
01133
12433
24433
36533
411033
517833
627233
745133
8147233
9479133
done500033
01016
12316
24316
36416
411016
517816
627216
745116
8148016
9479916
done500016
01147
13147
211317
349817
4221917
done500017
01016
12316
24316
36416
411016
517816
627216
745116
8148016
9479916
done500016
01016
12316
24316
36416
411016
517816
627216
745116
8148016
9479916
done500016
068
1108
2188
3198
done198
068
1208
2578
31278
42337
54087
66807
712217
833427
done50007
0921
11421
22021
32321
42521
done2521
0812
11012
done1012
0812
11112
21212
done1212
0812
11012
done1012
055
195
2105
done105
0711
1911
done911
079
1219
2429
3649
41079
51739
62669
74459
814389
943839
done50009
0915
12215
24715
38615
416615
529115
652015
787015
8267015
done500015
0711
11011
21111
done1111
01016
12316
24816
38716
416816
529316
652216
787216
8267716
done500016
01016
12316
24816
38716
416816
529316
652216
787216
8267716
done500016
0915
12215
24715
38615
416615
529115
652015
787015
8267015
done500015
01223
13623
210223
339623
4153923
done500023
01223
13423
28123
327023
4128723
done500023
01223
13923
211423
342323
4143423
5488823
done500023
0823
11623
24023
314423
452523
5154323
done500023
01219
13619
29119
323019
449919
5132619
6470019
done500019
0919
11919
24919
314619
437119
594019
6392919
done500019
01219
13619
27919
324919
472019
5240719
done500019
0919
12419
26219
315919
434719
593719
6417019
done500019
01331
15427
218325
385323
4432123
done500023
0915
12615
28015
331915
4132815
5469915
done500015
057
1157
2347
3567
41017
51677
62617
74407
814367
943847
done50007
079
1119
2129
done129
068
1198
2398
3618
41058
51718
62658
74448
814398
943848
done50008
068
1188
2518
31008
42238
55388
619398
done50018
0923
13123
212511
350611
423669
done50009
0717
11717
23617
35817
410217
516917
626317
744217
8143517
9440317
done500017
068
1168
2358
3578
41028
51688
62628
74418
814308
944148
done50008
0723
12723
21319
36169
429829
done50009
068
1168
2358
3578
41028
51688
62628
74418
814308
944148
done50008
068
1168
2358
3578
41028
51688
62628
74418
814308
944148
done50008
0815
13115
29515
337915
4151215
done500015
01023
13019
210819
345419
4154819
done500019
01015
12915
27215
324915
4124115
done500115
0915
11913
24813
315113
435413
596013
6229013
748659
done50009
01015
13415
210515
341315
4143015
5488315
done500015
0915
12513
27913
320413
450713
5133913
6279111
done500011
0615
11115
23115
312615
450515
5151615
done500015
057
197
2247
3527
4937
51467
62117
73237
89427
932497
done50007
079
1119
2129
done129
079
1119
2129
done129
045
175
2135
3185
4225
done225
045
175
2145
3175
4185
done185
045
175
2135
3185
4225
done225
045
175
2145
3175
4185
done185
0713
11313
22213
33913
45313
56313
done6313
068
1108
2178
3228
4268
done268
055
1103
2203
3313
4403
5443
done443
055
1103
2203
3313
4403
5443
done443
068
1168
2188
done188
068
1168
2188
done188
057
1157
2347
3567
41017
51677
62617
74407
814367
943847
done50007
079
1179
2379
3649
41109
51579
62279
74089
86449
97119
107159
done7159
057
1157
2347
3567
41017
51677
62617
74407
814367
943847
done50007
0811
13111
28411
322111
449511
5131411
6464911
done500011
0711
11411
24011
313211
435611
592311
6393611
done500011
0811
13111
27211
323811
469711
5232811
done500111
0711
11911
25411
314511
433011
592111
6415511
done500011
079
1148
2228
3448
41148
53738
616288
done50008
068
178
done78
068
1108
2158
3228
4448
51168
63728
716208
done50008
0717
1817
done817
068
178
done78
0723
12123
2739
32289
46099
515409
634799
done50019
068
178
done78
068
178
done78
0811
12611
2637
31167
42587
57017
623007
done50007
0923
13119
28517
317815
430915
572615
6197315
done500115
0715
12015
24111
3877
42127
55817
614977
done50007
057
1107
2177
3327
4577
5987
61567
73247
815767
done50007
01214
13112
28312
316512
430312
550912
682012
7167412
done500012
01317
13117
27713
321613
475413
5245213
done500013
01317
13117
27713
321613
475413
5245213
done500013
055
1125
2215
3265
4325
5425
6645
71315
83495
912725
done50005
055
1125
2215
3265
4325
5425
6645
71315
83495
912725
done50005
055
1125
2215
3265
4325
5425
6645
71315
83495
912725
done50005
055
1115
2195
3245
4305
5405
6625
71265
83425
912645
done50005
055
1115
2195
3245
4305
5405
6625
71265
83425
912645
done50005
055
1115
2195
3245
4305
5405
6625
71265
83425
912645
done50005

prune130.0ms

Filtered
68 candidates to 82 candidates (-20.6%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New82082
Fresh000
Picked011
Done022
Total82385

Merged error: 0b

Counts
85 → 3

regimes62.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01014
11214
done1214

end0.0ms

sample427.0ms

Algorithm
intervals
Results
271.0ms8000×body80valid

Profiling

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