Details

Time bar (total: 3.5min)

sample15.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
0.0msbody2560valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
055
185
2155
3205
4245
done245

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

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(* 500.0 (- x y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
*-un-lft-identity associate-*r*
pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
distribute-rgt-in sub-neg distribute-lft-in associate-*r/
flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
Counts
1 → 26
Calls
1 calls:
8.0ms
(* 500.0 (- x y))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(* 500.0 (- x y))

simplify15.7s

Counts
29 → 29
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
055
185
2155
3205
4245
done245
077
1107
2117
done117
066
1126
2206
3256
4296
done296
066
1116
2246
3496
4906
51926
64416
714026
done50016
0917
11817
2629
32439
48557
529657
done50017
0713
11013
21713
32213
42613
done2613
066
196
2166
3216
4256
done256
0717
12017
2747
32667
48187
525117
done50007
066
196
2166
3216
4256
done256
066
196
2166
3216
4256
done256
077
1107
2117
done117
077
1107
2117
done117
033
143
done43
044
174
2104
3114
done114
033
143
done43
044
174
2104
3114
done114
033
143
done43
044
174
2104
3114
done114
033
143
done43
044
174
2104
3114
done114
0711
11211
21511
done1511
066
196
2106
done106
033
161
done61
077
1157
2167
done167
033
161
done61
066
196
2166
3216
4256
done256
066
196
2166
3216
4256
done256
055
185
2155
3205
4245
done245
089
1249
2529
31319
43099
59889
644669
done50009
079
1139
2309
3769
41599
52459
64009
77719
833759
done50009
067
1125
2215
3225
done225
067
1125
2215
3225
done225
067
1125
2215
3225
done225

prune47.0ms

Filtered
19 candidates to 29 candidates (-52.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New25429
Fresh000
Picked011
Done000
Total25530

Merged error: 0b

Counts
30 → 5

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* 500.0 x) (* 500.0 (neg y)))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
distribute-rgt-neg-out
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ unsub-neg sum-log add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 14
Calls
1 calls:
4.0ms
(+ (* 500.0 x) (* 500.0 (neg y)))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(+ (* 500.0 x) (* 500.0 (neg y)))

simplify19.3s

Counts
17 → 17
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
0910
1199
2407
3876
42376
59806
done50006
089
1157
2256
3276
done276
089
1187
2376
3686
41556
55896
625476
done50006
0919
11615
22313
32413
done2413
089
1157
2226
3236
done236
0926
12920
21217
35717
421687
done50007
089
1157
2226
3236
done236
089
1157
2226
3236
done236
01012
13312
211512
339411
4103711
5286911
done500011
01126
13921
213919
337517
478215
5131013
6160313
7168513
done168513
0917
13117
210111
324211
442111
572411
6131411
7287711
done500011
078
1156
2266
3415
4465
done465
044
163
done63
067
1125
2215
3225
done225
067
1125
2215
3225
done225
067
1125
2215
3225
done225

prune27.0ms

Filtered
11 candidates to 17 candidates (-54.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New17017
Fresh033
Picked011
Done011
Total17522

Merged error: 0b

Counts
22 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (sqrt 500.0) (- x y))
0.4b
(* (sqrt 500.0) (* (sqrt 500.0) (- x y)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×associate-*l*
10×distribute-rgt-in distribute-lft-in
pow1 add-exp-log *-un-lft-identity add-cbrt-cube
add-cube-cbrt sqrt-prod
sub-neg associate-*r/ associate-*r*
pow-prod-down prod-exp cbrt-unprod
flip3-- *-commutative flip-- add-log-exp unswap-sqr
distribute-lft-out-- difference-of-squares
Counts
2 → 61
Calls
2 calls:
9.0ms
(* (sqrt 500.0) (- x y))
12.0ms
(* (sqrt 500.0) (* (sqrt 500.0) (- x y)))

series22.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(* (sqrt 500.0) (- x y))
11.0ms
(* (sqrt 500.0) (* (sqrt 500.0) (- x y)))

simplify44.1s

Counts
67 → 67
Iterations

Useful iterations: done (1.0ms)

IterNodesCost
079
1139
2275
3435
4565
5635
6655
done655
079
1139
2275
3435
4565
5635
6655
done655
0912
11512
21910
32010
done2010
0911
11511
22511
33310
43810
done3810
0810
11710
2376
3576
4726
5806
6826
done826
0810
11610
2386
3796
41646
53706
69256
731496
done50016
01129
12521
29811
34229
415829
done50009
01129
12921
211513
351613
417397
done50007
0921
11521
22913
34513
45813
56513
66713
done6713
0810
11410
2286
3446
4576
5646
done646
0929
12429
2927
33817
414667
543557
done50007
0810
11410
2286
3446
4576
5646
done646
0810
11410
2286
3446
4576
5646
done646
057
197
2103
done103
068
1128
2224
3304
4334
done334
057
197
2103
done103
068
1128
2224
3304
4334
done334
057
177
2107
done103
068
1108
2208
3274
4304
done304
057
177
2107
done103
068
1108
2208
3274
4304
done304
057
177
2107
done103
068
1108
2208
3274
4304
done304
057
177
2107
done103
068
1108
2208
3274
4304
done304
057
197
2103
done103
068
1128
2224
3304
4334
done334
057
197
2103
done103
068
1128
2224
3304
4334
done334
035
done31
0810
11410
23310
35910
47710
59310
done9310
0910
11510
23410
36010
47810
59210
done9210
0810
11410
23310
35910
47710
59310
done9310
079
1139
2275
3435
4565
5635
6655
done655
0810
11410
23310
35910
47710
59310
done9310
079
1139
2275
3435
4565
5635
6655
done655
01013
12913
2649
31949
45279
516499
done50019
0913
11813
2449
31349
43189
54949
68079
714329
done50019
066
196
2166
3216
4256
done256
088
1118
2128
done128
077
1137
2217
3267
4307
done307
077
1127
2257
3507
4917
51937
64427
714077
done50017
01020
11916
26010
322910
475810
5238210
done500010
0815
11115
21815
32315
42715
done2715
077
1107
2177
3227
4267
done267
0820
12120
2758
32648
48008
524908
done50008
077
1107
2177
3227
4267
done267
077
1107
2177
3227
4267
done267
088
1118
2128
done128
088
1118
2128
done128
088
1118
2128
done128
088
1118
2128
done128
044
154
done54
055
185
2115
3125
done125
044
154
done54
055
185
2115
3125
done125
044
154
done54
055
185
2115
3125
done125
044
154
done54
055
185
2115
3125
done125
0812
11312
21612
done1612
077
1107
2117
done117
044
172
2102
done102
088
1168
2178
done178
044
172
2102
done102
077
1107
2177
3227
4267
done267
077
1107
2177
3227
4267
done267
077
1107
2177
3227
4267
done267
066
196
2166
3216
4256
done256
077
1107
2177
3227
4267
done267
066
196
2166
3216
4256
done256
0910
12510
25310
313210
430610
599210
6448710
done500010
0810
11410
23110
37710
416410
525010
641010
778110
8342910
done500010
0913
1208
2575
3995
42395
57025
624185
done50005
0913
1208
2575
3995
42395
57025
624185
done50005
0913
1208
2575
3995
42395
57025
624185
done50005
079
1136
2226
3236
done236
079
1136
2226
3236
done236
079
1136
2226
3236
done236

prune90.0ms

Filtered
44 candidates to 67 candidates (-52.3%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New67067
Fresh022
Picked011
Done022
Total67572

Merged error: 0b

Counts
72 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (* (cbrt 500.0) (cbrt 500.0)) (* (cbrt 500.0) (- x y)))
0.3b
(* (cbrt 500.0) (- x y))
1.0b
(* (cbrt 500.0) (cbrt 500.0))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×pow1
20×cbrt-prod
19×add-exp-log
16×*-un-lft-identity
14×add-cube-cbrt
13×associate-*l*
12×associate-*r*
11×pow-prod-down
10×distribute-rgt-in distribute-lft-in prod-exp add-cbrt-cube cbrt-unprod
sub-neg pow1/3 associate-*r/ swap-sqr unswap-sqr
*-commutative add-log-exp
flip3-- pow-sqr pow-prod-up flip--
pow2 pow-plus distribute-lft-out-- difference-of-squares
Counts
3 → 102
Calls
3 calls:
13.0ms
(* (* (cbrt 500.0) (cbrt 500.0)) (* (cbrt 500.0) (- x y)))
8.0ms
(* (cbrt 500.0) (- x y))
6.0ms
(* (cbrt 500.0) (cbrt 500.0))

series19.0ms

Counts
3 → 7
Calls
3 calls:
11.0ms
(* (* (cbrt 500.0) (cbrt 500.0)) (* (cbrt 500.0) (- x y)))
8.0ms
(* (cbrt 500.0) (- x y))
0.0ms
(* (cbrt 500.0) (cbrt 500.0))

simplify2.2min

Counts
109 → 109
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
023
151
done51
023
161
done61
023
done23
035
done35
023
161
done61
047
165
275
done75
046
166
285
395
done95
046
166
2106
3156
4336
5736
61776
75606
822476
done50006
023
done23
0513
done513
046
done46
0517
11317
2207
3343
4533
5873
61513
73353
88323
932263
done50003
046
153
done53
046
153
done53
0513
done513
047
done47
047
done47
047
done47
035
153
done51
035
done35
0515
1915
2119
3205
4355
5615
61315
73485
812555
done50015
047
done47
047
done42
047
done42
023
141
done41
035
done35
047
done47
047
done47
067
177
done77
067
177
done77
067
177
done77
067
177
done77
047
done42
047
done42
033
151
done51
033
161
done61
059
169
done69
056
166
done66
055
184
done84
0510
1810
21010
done1010
046
156
done56
044
172
2102
done102
046
156
done56
056
166
done66
035
done35
046
156
done56
046
156
done56
035
done35
066
196
2166
3216
4256
done256
088
1118
2128
done128
077
1137
2217
3267
4307
done307
077
1127
2257
3507
4917
51937
64427
714077
done50017
0713
11313
2417
31277
43907
511077
634397
done50007
0815
11115
21815
32315
42715
done2715
077
1107
2177
3227
4267
done267
0820
12120
2758
32658
48167
524457
done50007
077
1107
2177
3227
4267
done267
077
1107
2177
3227
4267
done267
088
1118
2128
done128
088
1118
2128
done128
088
1118
2128
done128
088
1118
2128
done128
044
154
done54
055
185
2115
3125
done125
044
154
done54
055
185
2115
3125
done125
044
154
done54
055
185
2115
3125
done125
044
154
done54
055
185
2115
3125
done125
0812
11312
21612
done1612
077
1107
2117
done117
044
172
2102
done102
088
1168
2178
done178
044
172
2102
done102
077
1107
2177
3227
4267
done267
077
1107
2177
3227
4267
done267
066
196
2166
3216
4256
done256
077
1107
2177
3227
4267
done267
077
1107
2177
3227
4267
done267
066
196
2166
3216
4256
done256
0910
12510
25310
313210
430610
599210
6448710
done500010
0810
11410
23110
37710
416410
525010
641010
778110
8342910
done500010
0812
11612
23712
3718
41005
51235
61425
71525
81735
92375
104595
1113845
done50005
0812
11612
23712
3718
41005
51235
61425
71525
81735
92375
104595
1113845
done50005
0812
11612
23712
3718
41005
51235
61425
71525
81735
92375
104595
1113845
done50005
0812
11612
23712
3718
41005
51235
61425
71525
81735
92375
104595
1113845
done50005
01016
12014
23410
33810
done3810
01015
12013
23613
34810
45510
done5510
01115
11815
23114
33610
43910
done3910
01014
11814
23613
35210
45910
done5910
0913
12013
25013
31009
41346
51616
61806
71906
82116
92716
104846
1114236
done50006
0913
11913
25013
31199
42566
55846
616406
done50016
0917
12017
26511
32539
47859
525117
done50007
01024
12824
211312
358512
4241711
done500011
01231
13131
211415
353611
420849
done50019
01238
13738
215416
381211
430377
done50007
01027
11827
23927
37419
410313
512913
614813
715813
817913
924113
1045013
11137613
done500013
0913
11713
23713
3719
41006
51266
61476
71576
81786
92426
104586
1113886
done50006
01038
12838
212814
366210
425037
done50007
0913
11713
23713
3719
41006
51266
61476
71576
81786
92426
104586
1113886
done50006
0913
11713
23713
3719
41006
51266
61476
71576
81786
92426
104586
1113886
done50006
0610
11210
21910
3226
4273
5313
6373
7473
8703
91313
103453
1112713
done50003
0711
11511
23311
3577
4804
5844
6904
71004
81214
91864
104014
1113344
done50004
0610
11210
21910
3226
4273
5313
6373
7473
8703
91313
103453
1112713
done50003
0711
11511
23311
3577
4804
5844
6904
71004
81214
91864
104014
1113344
done50004
0610
11210
22010
3246
4293
5333
6393
7493
8703
91283
103423
1112483
done50003
0711
11511
23411
3547
4754
5794
6854
7954
81164
91784
103924
1113214
done50004
0610
11210
22010
3246
4293
5333
6393
7493
8703
91283
103423
1112483
done50003
0711
11511
23411
3547
4754
5794
6854
7954
81164
91784
103924
1113214
done50004
0610
11210
22010
3246
4293
5333
6393
7493
8703
91283
103423
1112483
done50003
0711
11511
23411
3557
4754
5794
6854
7954
81164
91784
103924
1113214
done50014
0610
11210
22010
3246
4293
5333
6393
7493
8703
91283
103423
1112483
done50003
0711
11511
23411
3557
4754
5794
6854
7954
81164
91784
103924
1113214
done50014
0610
11210
2216
3263
4303
5363
6463
7673
81273
93333
1012473
done50003
0711
11511
2357
3604
4824
5884
6984
71194
81794
93814
1012934
done50014
0610
11210
2216
3263
4303
5363
6463
7673
81273
93333
1012473
done50003
0711
11511
2357
3604
4824
5884
6984
71194
81794
93814
1012934
done50014
048
158
274
3121
4161
5221
6321
7551
81221
93331
1012721
done50001
079
1139
2279
3419
4519
5579
done579
01116
13216
27316
322412
47029
523269
done50019
01016
12116
25416
317712
44679
57929
613089
722039
done50019
066
196
2166
3216
4256
done256
079
1119
2206
3246
4256
done256
079
1119
2206
3246
4256
done256
079
1119
2206
3246
4256
done256
067
1125
2215
3225
done225
067
1125
2215
3225
done225
067
1125
2215
3225
done225

prune156.0ms

Filtered
70 candidates to 109 candidates (-55.7%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1090109
Fresh011
Picked011
Done033
Total1095114

Merged error: 0b

Counts
114 → 5

regimes223.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1128
2158
3168
done168

end0.0ms

sample403.0ms

Algorithm
intervals
Results
158.0ms8033×body80valid
1.0msbody1280valid
0.0msbody2560valid
0.0msbody320valid
0.0msbody640valid
0.0msbody160valid

Profiling

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