Details

Time bar (total: 2.6min)

sample18.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1107
2147
3177
4187
done187

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (* x 100.0) (+ x y))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
add-exp-log add-cbrt-cube
times-frac associate-/r*
add-sqr-sqrt add-cube-cbrt
cbrt-undiv div-exp associate-/r/ distribute-lft-out
pow1 frac-2neg flip3-+ prod-exp clear-num cbrt-unprod flip-+ div-inv associate-/l* add-log-exp
Counts
1 → 25
Calls
1 calls:
8.0ms
(/ (* x 100.0) (+ x y))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(/ (* x 100.0) (+ x y))

simplify27.8s

Counts
28 → 28
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
0910
11510
22210
32810
43410
54310
65610
77410
89010
99710
1011410
1111610
done11610
089
1159
2219
3309
4339
5399
6489
7619
8799
9959
101029
111199
121219
done1219
078
1148
2268
3458
4618
5698
6818
7998
81158
91228
101398
111418
done1418
078
1118
2158
3208
4298
5428
6758
71658
83888
910638
1041808
done50008
01223
14023
216513
365813
4263511
done500011
01023
14223
217211
37929
429689
done50009
0817
11217
21617
31917
42017
done2017
078
1118
2158
3188
4198
done198
0823
11923
2609
32399
410179
531509
done50019
078
1118
2158
3188
4198
done198
078
1118
2158
3188
4198
done198
044
194
2114
done114
044
184
2104
3114
done114
0611
1911
done911
066
176
done76
056
166
done66
066
176
done76
033
151
done51
055
165
done65
033
151
done51
055
165
done65
055
185
done85
067
1107
2127
done127
0813
11713
23113
34413
44813
done4813
078
1118
2158
3188
4198
done198
055
1103
2183
3273
4323
done323
055
1103
2183
3273
4323
done323
055
165
done65
0911
12611
23911
35911
49911
521411
662611
7245811
done500011
0811
11611
23911
38811
415911
526011
64009
79269
835619
done50019
011
done11
011
done11
011
done11

prune54.0ms

Filtered
22 candidates to 28 candidates (-27.3%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New24428
Fresh000
Picked101
Done000
Total25429

Merged error: 0b

Counts
29 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 100.0 (+ x y))
0.2b
(* x (/ 100.0 (+ x y)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
18×associate-*r*
add-exp-log add-cbrt-cube
distribute-lft-out
pow1 associate-/r* associate-/r/
associate-*l* associate-/l*
cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ div-inv add-log-exp unswap-sqr
frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 70
Calls
2 calls:
6.0ms
(/ 100.0 (+ x y))
10.0ms
(* x (/ 100.0 (+ x y)))

series13.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ 100.0 (+ x y))
8.0ms
(* x (/ 100.0 (+ x y)))

simplify40.9s

Counts
76 → 76
Iterations

Useful iterations: 2 (2.0ms)

IterNodesCost
067
1107
2137
3177
4187
done187
0910
11510
22210
33110
43710
54710
65410
76610
88910
910310
1010910
done10910
089
1139
2199
3289
4389
5479
6529
7619
8789
9979
101059
done1059
078
1148
2238
3378
4578
5708
6828
71008
81168
91238
101408
111428
done1428
078
1138
2228
3368
4778
51658
63888
714738
done50008
01223
14023
214713
355011
4199811
done500011
01023
12423
27311
322911
48049
525709
done50019
0817
11217
21517
31917
42017
done2017
078
1118
2148
3188
4198
done198
0823
12223
2769
32709
48239
526069
done50009
078
1118
2148
3188
4198
done198
078
1118
2148
3188
4198
done198
089
1109
done109
089
1109
done109
0910
11310
21610
32010
42110
done2110
0910
11310
21610
32010
42110
done2110
0815
11215
21415
done1415
078
198
done98
01017
12017
24917
39117
414717
516317
done16317
0912
11512
22512
34012
45312
55512
done5512
079
1147
2317
3687
4987
done987
079
1147
2317
3687
4987
done987
0914
11514
22614
33914
45114
done5114
089
1129
2159
3199
4209
done209
066
1114
2184
3274
4334
done334
066
1114
2184
3274
4334
done334
0813
11613
22611
33311
45311
58311
68611
done8611
078
1138
2166
3176
4226
5236
done236
045
193
2141
done141
045
193
2141
done141
033
161
done61
033
143
done43
0911
12611
23811
35911
49911
521411
662111
7245911
done500011
0811
11611
23311
37611
413611
522411
635811
76559
826529
done50009
078
1118
2148
3188
4198
done198
078
1118
2148
3188
4198
done198
067
1107
2137
3177
4187
done187
033
143
done43
077
1107
2117
done117
066
1106
2126
3136
done136
066
176
done76
0917
13117
2939
32207
44967
512997
629867
done50017
0713
1813
done813
066
176
done76
0717
11517
2317
3697
41527
53027
65867
713687
847847
done50007
066
176
done76
066
176
done76
022
done22
044
184
2104
3114
done114
0915
11615
22515
33115
done3115
077
187
done87
0810
11110
21310
31410
done1410
077
187
done87
057
195
2155
3205
done205
066
176
done76
057
195
2155
3205
done205
066
176
done76
0812
11112
done1112
077
187
done87
077
187
done87
077
187
done87
044
162
282
done82
066
176
done76
044
162
282
done82
066
176
done76
0711
11211
done1211
066
176
done76
066
196
done96
066
176
done76
023
141
done41
055
165
done65
023
141
done41
055
165
done65
055
185
done85
055
165
done65
0711
11011
done1011
066
176
done76
033
151
done51
033
151
done51
066
176
done76
066
176
done76
055
165
done65
089
1229
2319
3489
4899
52049
66059
724379
done50009
079
1129
2219
3389
4639
51049
61609
73289
816139
done50009
011
done11
011
done11
011
done11
011
done11
011
done11
011
done11

prune91.0ms

Filtered
55 candidates to 76 candidates (-38.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New76076
Fresh033
Picked011
Done000
Total76480

Merged error: 0b

Counts
80 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ x y) 100.0)
0.2b
(/ x (/ (+ x y) 100.0))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
92×*-un-lft-identity
60×add-sqr-sqrt add-cube-cbrt
19×associate-/r*
16×distribute-lft-out
add-exp-log add-cbrt-cube
associate-/l*
div-inv
cbrt-undiv div-exp
pow1 frac-2neg clear-num associate-/l/ add-log-exp
flip3-+ associate-/r/ flip-+
Counts
2 → 115
Calls
2 calls:
7.0ms
(/ (+ x y) 100.0)
9.0ms
(/ x (/ (+ x y) 100.0))

series13.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ (+ x y) 100.0)
8.0ms
(/ x (/ (+ x y) 100.0))

simplify27.0s

Counts
121 → 121
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
0910
11610
22410
33710
44110
54910
66410
79010
89910
done9910
089
1149
2199
3269
4399
5439
6519
7669
8929
91019
done1019
078
1138
2238
3328
4448
5638
6728
7838
81018
91218
101278
done1278
078
1108
2158
3228
4328
5598
61328
73088
88478
931698
done50018
01223
13923
214813
359711
422439
done50009
01023
12623
210011
33709
414479
538949
done50019
0817
11117
21417
31517
41717
51917
62017
done2017
078
1108
2138
3148
4168
5188
6198
done198
0823
11823
2569
32299
49489
528809
done50019
078
1108
2138
3148
4168
5188
6198
done198
078
1108
2138
3148
4168
5188
6198
done198
022
done22
066
196
2136
3156
4216
5256
6296
done296
01019
11719
22619
33219
done3219
089
199
done99
0912
11212
21412
31512
done1512
089
199
done99
01221
12321
25921
315221
427821
537221
640821
741821
done41821
0910
11210
21510
31610
41810
52010
62110
done2110
01118
11818
23618
38018
412418
514318
614818
714918
done14918
0910
11210
21510
31610
41810
52010
62110
done2110
01017
11915
24215
311715
414815
517215
617415
done17415
089
1119
2149
3159
4179
5199
6209
done209
01116
11816
23316
36116
49716
511916
612916
713816
done13816
0910
11210
21510
31610
41810
52010
62110
done2110
01013
11513
22413
33413
44413
54813
65013
75113
done5113
0910
11210
21510
31610
41810
52010
62110
done2110
0912
11610
22710
34910
45410
55810
66410
done6410
089
1119
2149
3159
4179
5199
6209
done209
0913
11713
23211
37911
419211
525511
629911
done29911
089
1119
2149
3159
4179
5199
6209
done209
0810
11410
2238
3498
4968
51048
done1048
089
1119
2149
3159
4179
5199
6209
done209
069
1127
2215
3425
4565
done565
078
1108
2138
3148
4168
5188
6198
done198
0913
11713
23211
37911
419211
525511
629911
done29911
089
1119
2149
3159
4179
5199
6209
done209
0810
11410
2238
3498
4968
51048
done1048
089
1119
2149
3159
4179
5199
6209
done209
069
1127
2215
3425
4565
done565
078
1108
2138
3148
4168
5188
6198
done198
057
195
2155
3205
done205
078
1108
2138
3148
4168
5188
6198
done198
069
199
2119
3129
done129
066
1106
2134
3224
4314
5334
done334
0916
11216
done1216
089
199
done99
089
199
done99
089
199
done99
01118
12018
24118
37018
49618
512818
614918
715918
done15918
0910
11210
21510
31610
41810
52010
62110
done2110
01015
11515
22315
33615
44415
55015
65315
done5315
0910
11210
21510
31610
41810
52010
62110
done2110
0914
11612
22912
35612
46812
58012
68512
done8512
089
1119
2149
3159
4179
5199
6209
done209
01013
11513
22213
33013
43413
54313
64913
75413
85513
done5513
0910
11210
21510
31610
41810
52010
62110
done2110
0910
11210
21510
31610
41810
52010
62110
done2110
0910
11210
21510
31610
41810
52010
62110
done2110
089
1137
2197
3247
4267
5297
6337
done337
089
1119
2149
3159
4179
5199
6209
done209
0810
11410
2218
3378
4638
5868
61068
done1068
089
1119
2149
3159
4179
5199
6209
done209
077
1117
2145
3235
4325
5345
done345
089
1119
2149
3159
4179
5199
6209
done209
056
194
2142
3162
4202
done202
078
1108
2138
3148
4168
5188
6198
done198
0810
11410
2218
3378
4638
5868
61068
done1068
089
1119
2149
3159
4179
5199
6209
done209
077
1117
2145
3235
4325
5345
done345
089
1119
2149
3159
4179
5199
6209
done209
056
194
2142
3162
4202
done202
078
1108
2138
3148
4168
5188
6198
done198
044
162
282
done82
078
1108
2138
3148
4168
5188
6198
done198
056
166
done66
066
1106
2134
3224
4314
5334
done334
0915
11415
done1415
078
188
done88
088
1118
done118
078
188
done88
01117
12217
24317
37215
413215
519615
done19615
089
1119
2149
3159
4179
5199
6209
done209
01014
11714
22514
33812
46512
510512
done10512
089
1119
2149
3159
4179
5199
6209
done209
0813
11511
22611
33511
done3511
078
1108
2138
3148
4168
5188
6198
done198
01012
11712
22412
33210
45610
57510
done7510
089
1119
2149
3159
4179
5199
6209
done209
099
1149
2179
3187
4317
5367
done367
089
1119
2149
3159
4179
5199
6209
done209
078
1126
2176
done176
078
1108
2138
3148
4168
5188
6198
done198
069
1125
2215
3345
4435
5445
done445
078
1108
2138
3148
4168
5188
6198
done198
056
192
2142
3162
4172
done172
078
1108
2138
3148
4168
5188
6198
done198
035
161
done61
067
197
2127
3137
4157
5177
6187
done187
069
1125
2215
3345
4435
5445
done445
078
1108
2138
3148
4168
5188
6198
done198
056
192
2142
3162
4172
done172
078
1108
2138
3148
4168
5188
6198
done198
035
161
done61
067
197
2127
3137
4157
5177
6187
done187
023
141
done41
067
197
2127
3137
4157
5177
6187
done187
055
185
done85
055
195
2123
3183
4253
5303
done303
077
1127
2157
3165
done165
067
197
2127
done127
0815
11115
done1115
078
188
done88
01017
11917
24017
37117
49717
513117
615717
716717
done16717
0914
11414
22214
33514
44314
54914
65214
done5214
0813
11511
22811
35511
46311
57211
68711
79011
done9011
0912
11412
22112
32912
43312
54212
64812
75312
85412
done5412
089
1119
2149
3159
4179
5199
6209
done209
078
1126
2186
3236
done236
079
1139
2207
3307
4507
5807
6927
done927
066
1106
2134
3194
4264
5314
done314
045
183
2131
done131
079
1139
2207
3307
4507
5807
6927
done927
066
1106
2134
3194
4264
5314
done314
045
183
2131
done131
033
151
done51
045
155
done55
078
1108
2138
done138
078
1108
2138
done138
067
197
2127
done127
045
155
done55
077
1107
2117
done117
066
1106
2126
3136
done136
066
176
done76
0917
13117
2939
32367
46207
516897
644657
done50017
0713
1813
done813
066
176
done76
0717
11517
2477
31197
42987
55897
612387
730907
done50007
066
176
done76
066
176
done76
044
184
2104
3114
done114
022
done22
0915
11615
22515
33115
done3115
077
187
done87
0812
11112
21312
31412
done1412
077
187
done87
0711
1129
2189
3239
done239
066
176
done76
0810
11110
done1110
077
187
done87
077
187
done87
077
187
done87
066
194
2114
done114
066
176
done76
057
197
done97
066
176
done76
044
164
done64
066
176
done76
023
141
done41
055
165
done65
057
197
done97
066
176
done76
044
164
done64
066
176
done76
023
141
done41
055
165
done65
033
153
done53
055
165
done65
079
1109
done109
066
176
done76
055
183
2103
done103
066
176
done76
066
176
done76
055
165
done65
055
165
done65
0913
12411
25411
310211
415511
520711
626211
732611
846111
970811
1078411
1178511
done78511
055
185
2155
3205
4245
done245
011
done11
011
done11
011
done11
067
1115
2135
done135
067
1115
2135
done135
067
1115
2135
done135

prune135.0ms

Filtered
87 candidates to 121 candidates (-39.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1210121
Fresh022
Picked011
Done011
Total1214125

Merged error: 0b

Counts
125 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (+ x y))
0.3b
(* (* x 100.0) (/ 1 (+ x y)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
33×*-un-lft-identity
28×add-exp-log
24×times-frac
19×add-sqr-sqrt add-cube-cbrt
18×associate-*r*
16×add-cbrt-cube
12×prod-exp
pow1
distribute-lft-out
div-exp cbrt-unprod
associate-/r* associate-/r/
cbrt-undiv rec-exp 1-exp pow-prod-down associate-/l*
flip3-+ flip-+ div-inv add-log-exp
pow-flip frac-2neg associate-*r/ associate-*l* clear-num un-div-inv *-commutative inv-pow
Counts
2 → 80
Calls
2 calls:
11.0ms
(/ 1 (+ x y))
13.0ms
(* (* x 100.0) (/ 1 (+ x y)))

series13.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ 1 (+ x y))
8.0ms
(* (* x 100.0) (/ 1 (+ x y)))

simplify58.8s

Counts
86 → 86
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
089
1179
2317
3807
4917
5977
6997
done997
089
1179
2317
3807
4917
5977
6997
done997
01011
11610
22510
33010
43610
54510
65810
77610
89210
99910
1011610
1111810
done11810
01112
12011
24310
38910
412710
521210
636210
739410
843510
done43510
01213
12312
24210
39610
413610
522310
637610
741010
845910
done45910
01112
12211
23710
36710
411610
519810
636010
739010
842110
done42110
0910
1169
2239
3309
4339
5399
6489
7619
8799
9959
101029
111199
121219
done1219
01011
12010
2379
3779
41469
52379
63799
74159
84699
done4699
01112
12311
2379
3859
41529
52419
63809
74129
84549
done4549
01011
12210
2339
3639
41219
51999
63509
73899
84329
done4329
0910
12110
2478
31188
41718
52578
63578
75018
85288
95468
done5468
0910
12010
2458
31218
42178
54288
610368
736068
done50008
01629
15125
216613
376613
4358411
done500111
01429
13629
212515
347915
4204411
done500011
01429
15325
217011
379211
4374511
done500011
01229
13829
212913
351313
422049
done50009
01021
11921
23317
38217
49117
59617
69817
done9817
0910
11810
2328
3818
4928
5968
6988
done988
01029
12929
21299
37149
423549
done50019
0910
11810
2328
3818
4928
5968
6988
done988
0910
11810
2328
3818
4928
5968
6988
done988
01017
11917
23217
34417
done4417
0910
11610
22210
done2210
01219
12717
27315
316913
424113
525813
626813
done26813
01114
12212
24510
3868
41208
51228
61238
done1238
0811
1187
2455
3743
4923
51013
done1013
0811
1187
2455
3743
4923
51013
done1013
01116
12215
24615
39813
417413
521713
623813
724213
done24213
01011
11910
23310
3538
4688
5758
6778
done778
078
1155
2283
3503
4763
5913
6923
done923
078
1155
2283
3503
4763
5913
6923
done923
01015
12115
24413
314113
421013
524813
626613
done26613
0910
11810
2328
3818
4928
5988
61008
done1008
067
1145
2273
3513
4773
5963
6973
done973
067
1145
2273
3513
4773
5963
6973
done973
055
1113
2233
3273
done273
055
1113
2233
3273
done273
01113
13313
25611
312211
417211
529111
671411
7255811
done500011
01013
12313
25011
316711
436411
568011
610859
717499
done50019
077
1137
2165
3175
4225
5235
done235
055
1113
2233
3273
done273
022
151
done51
055
165
done65
066
195
2135
3155
4215
5265
done265
077
1126
2135
3195
4255
5305
done305
066
1135
2145
3185
4205
5265
6315
done315
066
196
done96
0917
13213
2747
31577
43827
59857
621827
734897
done50027
0713
11013
done1013
066
196
done96
0717
11717
2337
3707
4947
51527
62807
76237
816467
946897
done50017
066
196
done96
066
196
done96
022
151
done51
044
184
2104
3114
done114
0915
11813
22711
33311
done3311
077
1106
done106
0810
1138
2156
3166
done166
077
1106
done106
047
183
2121
done121
066
195
done95
047
183
2121
done121
066
195
done95
0812
11311
done1311
077
1106
done106
077
1106
done106
077
1106
done106
034
151
done51
066
195
done95
034
151
done51
066
195
done95
0711
11211
done1211
066
196
done96
066
196
done96
066
196
done96
023
141
done41
055
185
done85
023
141
done41
055
185
done85
055
185
done85
055
183
2103
done103
0711
11211
done1211
066
196
done96
023
141
done41
023
141
done41
066
195
done95
066
195
done95
055
183
2103
done103
089
1249
2339
3509
4919
52019
66029
724199
done50009
079
1149
2239
3409
4659
51069
61649
73329
816459
done50009
011
done11
011
done11
011
done11
011
done11
011
done11
011
done11

prune277.0ms

Filtered
47 candidates to 86 candidates (-83.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New86086
Fresh011
Picked011
Done022
Total86490

Merged error: 0b

Counts
90 → 4

regimes83.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
done87

end0.0ms

sample479.0ms

Algorithm
intervals
Results
216.0ms8000×body80valid

Profiling

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