Details

Time bar (total: 2.6min)

sample22.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
055
175
285
done85

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(sqrt (fabs (- x y)))

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt sqrt-prod
pow1 add-cube-cbrt *-un-lft-identity
add-exp-log rem-sqrt-square sqrt-pow1 pow1/2 add-cbrt-cube add-log-exp
Counts
1 → 13
Calls
1 calls:
2.0ms
(sqrt (fabs (- x y)))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(sqrt (fabs (- x y)))

simplify2.9s

Counts
16 → 16
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
066
186
296
done96
066
186
296
done96
0713
1913
21013
done1013
066
186
296
done96
0717
11010
2147
3197
4257
5357
6567
71127
83297
912547
done50007
0712
1106
2116
done116
066
186
296
done96
066
186
296
done96
066
186
296
done96
022
141
done41
055
175
285
done85
033
161
done61
066
186
296
done96
066
186
296
done96
055
175
285
done85
055
175
285
done85
055
175
285
done85

prune25.0ms

Filtered
10 candidates to 16 candidates (-60.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New14216
Fresh000
Picked011
Done000
Total14317

Merged error: 0.0b

Counts
17 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (cbrt (fabs (- x y))))
0.4b
(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
0.5b
(cbrt (fabs (- x y)))
0.5b
(cbrt (fabs (- x y)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
14×cbrt-prod sqrt-prod
12×add-cube-cbrt *-un-lft-identity
associate-*r*
pow1
add-exp-log add-cbrt-cube
add-log-exp
pow1/3 associate-*l* unswap-sqr
rem-sqrt-square sqrt-pow1
pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
4 → 66
Calls
4 calls:
2.0ms
(sqrt (cbrt (fabs (- x y))))
7.0ms
(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
1.0ms
(cbrt (fabs (- x y)))
1.0ms
(cbrt (fabs (- x y)))

series64.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(sqrt (cbrt (fabs (- x y))))
20.0ms
(* (fabs (cbrt (fabs (- x y)))) (sqrt (cbrt (fabs (- x y)))))
14.0ms
(cbrt (fabs (- x y)))
14.0ms
(cbrt (fabs (- x y)))

simplify53.3s

Counts
78 → 78
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
066
186
296
done96
066
186
296
done96
0712
1912
21012
done1012
066
186
296
done96
066
186
296
done96
066
186
296
done96
022
141
done41
055
175
285
done85
0713
1913
21013
done1013
066
186
296
done96
0717
11017
2137
3184
4244
5344
6554
71174
83284
912514
done50004
066
186
296
done96
066
186
296
done96
066
186
296
done96
066
186
296
done96
0712
1912
21012
done1012
066
186
296
done96
066
186
296
done96
066
186
296
done96
022
141
done41
055
175
285
done85
0713
1913
21013
done1013
066
186
296
done96
0717
11017
2137
3184
4244
5344
6554
71174
83284
912514
done50004
066
186
296
done96
066
186
296
done96
0813
11113
21213
done1213
01015
11315
21415
done1415
0914
11514
21714
done1714
0914
11414
22114
32914
45214
511014
625314
771814
8272414
done500014
01241
12133
24817
38517
413915
526115
665415
7246815
done500015
01029
11329
21429
done1429
0914
11214
21314
done1314
01041
12341
25315
39815
411215
515815
630615
775715
8272015
done500115
0914
11214
21314
done1314
0914
11214
21314
done1314
01115
11415
21515
done1515
01115
11415
21515
done1515
01015
11315
21415
done1415
01015
11315
21415
done1415
01015
11315
21415
done1415
01015
11315
21415
done1415
01022
11522
21822
done1822
01020
11320
21420
done1420
01014
11314
21414
done1414
01010
1159
2169
done169
01021
11414
21514
done1514
0914
11214
21314
done1314
099
1148
2158
done156
0914
11214
21314
done1314
088
1136
2176
done176
0914
11214
21314
done1314
0914
11214
21314
done1314
0813
11113
21213
done1213
077
197
2107
done107
077
197
2107
done107
0815
11015
21115
done1115
077
197
2107
done107
0820
11112
2158
3208
4268
5368
6578
71198
83348
912508
done50008
0813
11013
21113
done1113
077
197
2107
done107
077
197
2107
done107
077
197
2107
done107
033
152
done52
066
186
296
done96
0814
1117
2127
done127
077
197
2107
done107
077
197
2107
done107
077
197
2107
done107
022
141
done41
066
186
296
done96
033
141
done41
033
161
done61
077
197
2107
done107
077
197
2107
done107
066
1145
2215
3315
4555
51135
63175
712305
done50005
066
1145
2215
3315
4555
51135
63175
712305
done50005
066
1145
2215
3315
4555
51135
63175
712305
done50005
066
1145
2215
3315
4555
51135
63175
712305
done50005
066
1145
2215
3315
4555
51135
63175
712305
done50005
066
1145
2215
3315
4555
51135
63175
712305
done50005
01014
12213
23913
37113
416213
546013
6170313
done500013
01014
12213
23913
37113
416213
546013
6170313
done500013
01014
12213
23913
37113
416213
546013
6170313
done500013
066
1136
2206
3306
4546
51196
63336
712526
done50006
066
1136
2206
3306
4546
51196
63336
712526
done50006
066
1136
2206
3306
4546
51196
63336
712526
done50006

prune76.0ms

Filtered
53 candidates to 78 candidates (-47.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New77178
Fresh011
Picked011
Done011
Total77481

Merged error: 0b

Counts
81 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fabs (- x y)))
0.4b
(* (fabs (cbrt (fabs (- x y)))) (fabs (cbrt (sqrt (fabs (- x y))))))
0.5b
(cbrt (sqrt (fabs (- x y))))
0.5b
(cbrt (fabs (- x y)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
cbrt-prod
pow1
add-exp-log sqrt-prod add-cbrt-cube
add-log-exp
associate-*r* associate-*l*
pow1/3
rem-sqrt-square sqrt-pow1 pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 56
Calls
4 calls:
2.0ms
(sqrt (fabs (- x y)))
4.0ms
(* (fabs (cbrt (fabs (- x y)))) (fabs (cbrt (sqrt (fabs (- x y))))))
2.0ms
(cbrt (sqrt (fabs (- x y))))
2.0ms
(cbrt (fabs (- x y)))

series43.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(sqrt (fabs (- x y)))
11.0ms
(* (fabs (cbrt (fabs (- x y)))) (fabs (cbrt (sqrt (fabs (- x y))))))
13.0ms
(cbrt (sqrt (fabs (- x y))))
14.0ms
(cbrt (fabs (- x y)))

simplify45.2s

Counts
68 → 68
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
066
186
296
done96
066
186
296
done96
0712
1912
21012
done1012
066
186
296
done96
066
186
296
done96
066
186
296
done96
022
141
done41
055
175
285
done85
0713
1913
21013
done1013
066
186
296
done96
0717
11017
2137
3184
4244
5344
6554
71174
83284
912514
done50004
066
186
296
done96
066
186
296
done96
077
197
2107
done107
077
197
2107
done107
0814
11014
21114
done1114
077
197
2107
done107
0813
1117
2127
done127
077
197
2107
done107
077
197
2107
done107
077
197
2107
done107
033
152
done52
066
186
296
done96
077
197
2107
done107
077
197
2107
done107
022
141
done41
066
186
296
done96
0815
11015
21115
done1115
077
197
2107
done107
0820
11120
2148
3195
4255
5355
6565
71165
83335
912645
done50005
077
197
2107
done107
077
197
2107
done107
01014
11314
21414
done1414
01216
11516
21616
done1616
01115
11715
21915
done1915
01115
11615
22315
33115
45415
511015
625115
772115
8273715
done500115
01444
12344
24918
38918
414916
527816
667316
7245816
done500016
01231
11531
21631
done1631
01115
11415
21515
done1515
01244
12544
25516
39716
411316
515916
629516
774616
8276416
done500016
01115
11415
21515
done1515
01115
11415
21515
done1515
01216
11516
21616
done1616
01216
11516
21616
done1616
01224
11724
22024
done2024
01115
11415
21515
done1515
088
1136
2176
done176
01115
11415
21515
done1515
01115
11415
21515
done1515
01014
11314
21414
done1414
066
186
296
done96
066
186
296
done96
0713
1913
21013
done1013
066
186
296
done96
0717
11010
2147
3197
4257
5357
6567
71127
83297
912547
done50007
0712
1106
2116
done116
066
186
296
done96
066
186
296
done96
066
186
296
done96
022
141
done41
055
175
285
done85
033
161
done61
066
186
296
done96
066
186
296
done96
066
1145
2215
3315
4555
51135
63175
712305
done50005
066
1145
2215
3315
4555
51135
63175
712305
done50005
066
1145
2215
3315
4555
51135
63175
712305
done50005
066
1136
2206
3306
4546
51196
63336
712526
done50006
066
1136
2206
3306
4546
51196
63336
712526
done50006
066
1136
2206
3306
4546
51196
63336
712526
done50006
01115
12314
23614
35814
412514
534114
6127914
done500014
01115
12314
23614
35814
412514
534114
6127914
done500014
01115
12314
23614
35814
412514
534114
6127914
done500014
055
175
285
done85
055
175
285
done85
055
175
285
done85

prune73.0ms

Filtered
45 candidates to 68 candidates (-51.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New68068
Fresh011
Picked011
Done022
Total68472

Merged error: 0b

Counts
72 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (sqrt (fabs (- x y))))
0.5b
(cbrt (sqrt (fabs (- x y))))
0.5b
(cbrt (sqrt (fabs (- x y))))
0.5b
(* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y)))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
58×cbrt-prod
44×add-sqr-sqrt
29×sqrt-prod
22×add-cube-cbrt *-un-lft-identity
11×pow1 swap-sqr
pow1/3 associate-*r* associate-*l* unswap-sqr
add-exp-log
add-cbrt-cube add-log-exp
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
2.0ms
(cbrt (sqrt (fabs (- x y))))
2.0ms
(cbrt (sqrt (fabs (- x y))))
2.0ms
(cbrt (sqrt (fabs (- x y))))
13.0ms
(* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y)))))

series55.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(cbrt (sqrt (fabs (- x y))))
15.0ms
(cbrt (sqrt (fabs (- x y))))
13.0ms
(cbrt (sqrt (fabs (- x y))))
14.0ms
(* (cbrt (sqrt (fabs (- x y)))) (cbrt (sqrt (fabs (- x y)))))

simplify52.6s

Counts
110 → 110
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
023
151
done51
023
161
done61
0611
184
2104
done104
0713
1913
21013
done1013
023
161
done61
0815
1129
2149
done149
0814
11214
2159
3169
done169
0814
11214
21714
32214
44014
58014
618814
756414
8225314
done500014
0611
184
2104
done104
0929
11129
21229
done1229
0814
11014
21114
done1114
0941
11941
22915
3438
4774
51644
63984
714064
done50014
0814
1117
2127
done127
0814
1117
2127
done127
0929
11129
21229
done1229
0815
11015
21115
done1115
0927
11215
21315
done1315
0815
11015
21115
done1115
0815
11015
21115
done1115
0815
11015
21115
done1115
0815
11015
21115
done1115
0815
11015
21115
done1115
047
165
done65
0713
1913
21013
done1013
0815
11015
21115
done1115
0815
11015
21115
done1115
0815
11015
21115
done1115
0815
11015
21115
done1115
035
153
done51
0713
1913
21013
done1013
0931
11531
21817
3279
4429
5689
61409
73609
812739
done50009
0815
11015
21115
done1115
0815
1106
2126
done126
0815
1106
2126
done126
023
141
done41
0713
1913
21013
done1013
0815
11015
21115
done1115
0815
11015
21115
done1115
0815
11015
21115
done1115
0815
11015
21115
done1115
01015
11315
21415
done1415
01015
11315
21415
done1415
0815
11015
21115
done1115
0815
11015
21115
done1115
0815
11015
21115
done1115
0815
11015
21115
done1115
01015
11315
21415
done1415
01015
11315
21415
done1415
01015
11315
21415
done1415
01015
11315
21415
done1415
01015
11315
21415
done1415
01015
11315
21415
done1415
0815
1106
2126
done126
0815
1106
2126
done126
033
151
done51
033
161
done61
0921
11221
21321
done1321
01120
11514
21614
done1614
0914
11214
21314
done1314
01010
1159
2169
done169
0914
11214
21314
done1314
099
1148
2158
done156
0922
11422
21722
done1722
0814
11114
21214
done1214
088
1136
2176
done176
0814
11114
21214
done1214
01014
11314
21414
done1414
0914
11214
21314
done1314
0713
1913
21013
done1013
0914
11214
21314
done1314
0713
1913
21013
done1013
0814
11114
21214
done1214
0814
11114
21214
done1214
0713
1913
21013
done1013
077
197
2107
done107
077
197
2107
done107
0814
11014
21114
done1114
077
197
2107
done107
0813
1117
2127
done127
077
197
2107
done107
077
197
2107
done107
077
197
2107
done107
033
152
done52
066
186
296
done96
077
197
2107
done107
077
197
2107
done107
022
141
done41
066
186
296
done96
0815
11015
21115
done1115
077
197
2107
done107
0820
11120
2148
3195
4255
5355
6565
71165
83335
912645
done50005
077
197
2107
done107
077
197
2107
done107
077
197
2107
done107
077
197
2107
done107
0814
11014
21114
done1114
077
197
2107
done107
0813
1117
2127
done127
077
197
2107
done107
077
197
2107
done107
077
197
2107
done107
033
152
done52
066
186
296
done96
077
197
2107
done107
077
197
2107
done107
022
141
done41
066
186
296
done96
0815
11015
21115
done1115
077
197
2107
done107
0820
11120
2148
3195
4255
5355
6565
71165
83335
912645
done50005
077
197
2107
done107
077
197
2107
done107
077
197
2107
done107
077
197
2107
done107
0814
11014
21114
done1114
077
197
2107
done107
0813
1117
2127
done127
077
197
2107
done107
077
197
2107
done107
077
197
2107
done107
033
152
done52
066
186
296
done96
077
197
2107
done107
077
197
2107
done107
022
141
done41
066
186
296
done96
0815
11015
21115
done1115
077
197
2107
done107
0820
11120
2148
3195
4255
5355
6565
71165
83335
912645
done50005
077
197
2107
done107
077
197
2107
done107
066
1145
2215
3315
4555
51135
63175
712305
done50005
066
1145
2215
3315
4555
51135
63175
712305
done50005
066
1145
2215
3315
4555
51135
63175
712305
done50005
066
1136
2206
3306
4546
51196
63336
712526
done50006
066
1136
2206
3306
4546
51196
63336
712526
done50006
066
1136
2206
3306
4546
51196
63336
712526
done50006
066
1136
2206
3306
4546
51196
63336
712526
done50006
066
1136
2206
3306
4546
51196
63336
712526
done50006
066
1136
2206
3306
4546
51196
63336
712526
done50006
066
1136
2206
3306
4546
51196
63336
712526
done50006
066
1136
2206
3306
4546
51196
63336
712526
done50006
066
1136
2206
3306
4546
51196
63336
712526
done50006

prune80.0ms

Filtered
66 candidates to 110 candidates (-66.7%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1100110
Fresh000
Picked011
Done033
Total1104114

Merged error: 0b

Counts
114 → 4

regimes234.0ms

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
055
done55

end0.0ms

sample443.0ms

Algorithm
intervals
Results
196.0ms8000×body80valid

Profiling

Loading profile data...