Details

Time bar (total: 3.5min)

sample600.0ms

Algorithm
intervals
Results
426.0ms159×body1280valid
114.0ms62×body640valid
21.0ms16×body320valid
6.0ms17×body80valid
1.0msbody160valid

simplify5.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02665
15665
29665
316965
431065
552965
6141165
7477365
done500065

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 24.2b

Counts
2 → 1

localize42.0ms

Local error

Found 4 expressions with local error:

3.3b
(sin (/ (- lambda1 lambda2) 2.0))
3.3b
(sin (/ (- lambda1 lambda2) 2.0))
4.2b
(sin (/ (- phi1 phi2) 2.0))
4.2b
(sin (/ (- phi1 phi2) 2.0))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity div-sub sin-diff add-cbrt-cube add-log-exp
Counts
4 → 32
Calls
4 calls:
6.0ms
(sin (/ (- lambda1 lambda2) 2.0))
6.0ms
(sin (/ (- lambda1 lambda2) 2.0))
6.0ms
(sin (/ (- phi1 phi2) 2.0))
6.0ms
(sin (/ (- phi1 phi2) 2.0))

series27.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(sin (/ (- lambda1 lambda2) 2.0))
6.0ms
(sin (/ (- lambda1 lambda2) 2.0))
6.0ms
(sin (/ (- phi1 phi2) 2.0))
8.0ms
(sin (/ (- phi1 phi2) 2.0))

simplify28.4s

Counts
44 → 44
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
199
done99
089
199
done99
077
1127
2157
3177
done177
077
1127
2157
3177
done177
0815
11315
21615
31815
done1815
077
1127
2157
3177
done177
0820
11420
2198
3268
4328
5428
6638
71248
83398
912788
done50018
077
1127
2157
3177
done177
077
1127
2157
3177
done177
089
199
done99
089
199
done99
077
1127
2157
3177
done177
077
1127
2157
3177
done177
0815
11315
21615
31815
done1815
077
1127
2157
3177
done177
0820
11420
2198
3268
4328
5428
6638
71248
83398
912788
done50018
077
1127
2157
3177
done177
077
1127
2157
3177
done177
089
199
done99
089
199
done99
077
1127
2157
3177
done177
077
1127
2157
3177
done177
0815
11315
21615
31815
done1815
077
1127
2157
3177
done177
0820
11420
2198
3268
4328
5428
6638
71248
83398
912788
done50018
077
1127
2157
3177
done177
077
1127
2157
3177
done177
089
199
done99
089
199
done99
077
1127
2157
3177
done177
077
1127
2157
3177
done177
0815
11315
21615
31815
done1815
077
1127
2157
3177
done177
0820
11420
2198
3268
4328
5428
6638
71248
83398
912788
done50018
077
1127
2157
3177
done177
077
1127
2157
3177
done177
01113
12713
25611
312311
427211
568611
6271111
done500111
066
196
2166
3216
4256
done256
066
196
2166
3216
4256
done256
01113
12713
25611
312311
427211
568611
6271111
done500111
066
196
2166
3216
4256
done256
066
196
2166
3216
4256
done256
01113
12713
25611
312311
427211
568611
6271111
done500111
066
196
2166
3216
4256
done256
066
196
2166
3216
4256
done256
01113
12713
25611
312311
427211
568611
6271111
done500111
066
196
2166
3216
4256
done256
066
196
2166
3216
4256
done256

prune351.0ms

Filtered
40 candidates to 44 candidates (-10.0%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New331144
Fresh000
Picked101
Done000
Total341145

Merged error: 22.8b

Counts
45 → 11

localize52.0ms

Local error

Found 4 expressions with local error:

3.3b
(sin (/ (- lambda1 lambda2) 2.0))
3.3b
(sin (/ (- lambda1 lambda2) 2.0))
3.3b
(sin (/ (- lambda1 lambda2) 2.0))
4.2b
(sin (/ (- phi1 phi2) 2.0))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity div-sub sin-diff add-cbrt-cube add-log-exp
Counts
4 → 32
Calls
4 calls:
10.0ms
(sin (/ (- lambda1 lambda2) 2.0))
6.0ms
(sin (/ (- lambda1 lambda2) 2.0))
6.0ms
(sin (/ (- lambda1 lambda2) 2.0))
7.0ms
(sin (/ (- phi1 phi2) 2.0))

series26.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(sin (/ (- lambda1 lambda2) 2.0))
6.0ms
(sin (/ (- lambda1 lambda2) 2.0))
6.0ms
(sin (/ (- lambda1 lambda2) 2.0))
7.0ms
(sin (/ (- phi1 phi2) 2.0))

simplify28.2s

Counts
44 → 44
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
199
done99
089
199
done99
077
1127
2157
3177
done177
077
1127
2157
3177
done177
0815
11315
21615
31815
done1815
077
1127
2157
3177
done177
0820
11420
2198
3268
4328
5428
6638
71248
83398
912788
done50018
077
1127
2157
3177
done177
077
1127
2157
3177
done177
089
199
done99
089
199
done99
077
1127
2157
3177
done177
077
1127
2157
3177
done177
0815
11315
21615
31815
done1815
077
1127
2157
3177
done177
0820
11420
2198
3268
4328
5428
6638
71248
83398
912788
done50018
077
1127
2157
3177
done177
077
1127
2157
3177
done177
089
199
done99
089
199
done99
077
1127
2157
3177
done177
077
1127
2157
3177
done177
0815
11315
21615
31815
done1815
077
1127
2157
3177
done177
0820
11420
2198
3268
4328
5428
6638
71248
83398
912788
done50018
077
1127
2157
3177
done177
077
1127
2157
3177
done177
089
199
done99
089
199
done99
077
1127
2157
3177
done177
077
1127
2157
3177
done177
0815
11315
21615
31815
done1815
077
1127
2157
3177
done177
0820
11420
2198
3268
4328
5428
6638
71248
83398
912788
done50018
077
1127
2157
3177
done177
077
1127
2157
3177
done177
01113
12713
25611
312311
427211
568611
6271111
done500111
066
196
2166
3216
4256
done256
066
196
2166
3216
4256
done256
01113
12713
25611
312311
427211
568611
6271111
done500111
066
196
2166
3216
4256
done256
066
196
2166
3216
4256
done256
01113
12713
25611
312311
427211
568611
6271111
done500111
066
196
2166
3216
4256
done256
066
196
2166
3216
4256
done256
01113
12713
25611
312311
427211
568611
6271111
done500111
066
196
2166
3216
4256
done256
066
196
2166
3216
4256
done256

prune426.0ms

Filtered
40 candidates to 44 candidates (-10.0%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New38644
Fresh2810
Picked101
Done000
Total411455

Merged error: 12.4b

Counts
55 → 14

localize50.0ms

Local error

Found 4 expressions with local error:

3.3b
(sin (/ (- lambda1 lambda2) 2.0))
3.3b
(sin (/ (- lambda1 lambda2) 2.0))
3.3b
(sin (/ (- lambda1 lambda2) 2.0))
3.3b
(sin (/ (- lambda1 lambda2) 2.0))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity div-sub sin-diff add-cbrt-cube add-log-exp
Counts
4 → 32
Calls
4 calls:
7.0ms
(sin (/ (- lambda1 lambda2) 2.0))
6.0ms
(sin (/ (- lambda1 lambda2) 2.0))
6.0ms
(sin (/ (- lambda1 lambda2) 2.0))
7.0ms
(sin (/ (- lambda1 lambda2) 2.0))

series26.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(sin (/ (- lambda1 lambda2) 2.0))
6.0ms
(sin (/ (- lambda1 lambda2) 2.0))
6.0ms
(sin (/ (- lambda1 lambda2) 2.0))
6.0ms
(sin (/ (- lambda1 lambda2) 2.0))

simplify28.6s

Counts
44 → 44
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
199
done99
089
199
done99
077
1127
2157
3177
done177
077
1127
2157
3177
done177
0815
11315
21615
31815
done1815
077
1127
2157
3177
done177
0820
11420
2198
3268
4328
5428
6638
71248
83398
912788
done50018
077
1127
2157
3177
done177
077
1127
2157
3177
done177
089
199
done99
089
199
done99
077
1127
2157
3177
done177
077
1127
2157
3177
done177
0815
11315
21615
31815
done1815
077
1127
2157
3177
done177
0820
11420
2198
3268
4328
5428
6638
71248
83398
912788
done50018
077
1127
2157
3177
done177
077
1127
2157
3177
done177
089
199
done99
089
199
done99
077
1127
2157
3177
done177
077
1127
2157
3177
done177
0815
11315
21615
31815
done1815
077
1127
2157
3177
done177
0820
11420
2198
3268
4328
5428
6638
71248
83398
912788
done50018
077
1127
2157
3177
done177
077
1127
2157
3177
done177
089
199
done99
089
199
done99
077
1127
2157
3177
done177
077
1127
2157
3177
done177
0815
11315
21615
31815
done1815
077
1127
2157
3177
done177
0820
11420
2198
3268
4328
5428
6638
71248
83398
912788
done50018
077
1127
2157
3177
done177
077
1127
2157
3177
done177
01113
12713
25611
312311
427211
568611
6271111
done500111
066
196
2166
3216
4256
done256
066
196
2166
3216
4256
done256
01113
12713
25611
312311
427211
568611
6271111
done500111
066
196
2166
3216
4256
done256
066
196
2166
3216
4256
done256
01113
12713
25611
312311
427211
568611
6271111
done500111
066
196
2166
3216
4256
done256
066
196
2166
3216
4256
done256
01113
12713
25611
312311
427211
568611
6271111
done500111
066
196
2166
3216
4256
done256
066
196
2166
3216
4256
done256

prune512.0ms

Filtered
40 candidates to 44 candidates (-10.0%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New37744
Fresh4913
Picked101
Done000
Total421658

Merged error: 12.3b

Counts
58 → 16

localize56.0ms

Local error

Found 4 expressions with local error:

3.3b
(sin (/ (- lambda1 lambda2) 2.0))
3.3b
(sin (/ (- lambda1 lambda2) 2.0))
3.3b
(sin (/ (- lambda1 lambda2) 2.0))
6.3b
(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log add-cbrt-cube add-log-exp
unpow-prod-down div-sub cube-prod sin-diff
cube-mult pow1/3 unpow3 rem-cbrt-cube sqr-pow
Counts
4 → 45
Calls
4 calls:
6.0ms
(sin (/ (- lambda1 lambda2) 2.0))
6.0ms
(sin (/ (- lambda1 lambda2) 2.0))
6.0ms
(sin (/ (- lambda1 lambda2) 2.0))
7.0ms
(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

series27.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(sin (/ (- lambda1 lambda2) 2.0))
7.0ms
(sin (/ (- lambda1 lambda2) 2.0))
6.0ms
(sin (/ (- lambda1 lambda2) 2.0))
7.0ms
(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify1.6min

Counts
57 → 57
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01010
1237
2327
3447
4657
51317
63427
712617
done50007
01010
1237
2327
3447
4657
51317
63427
712617
done50007
01118
12615
25010
38510
416210
53969
612299
done50009
01010
1237
2327
3447
4657
51317
63427
712607
done50007
01010
1237
2327
3457
4667
51317
63477
712607
done50007
01010
1237
2327
3457
4667
51317
63477
712607
done50007
044
1141
2181
done181
099
1226
2316
3436
4646
51286
63456
712556
done50006
0814
11314
21614
31814
done1814
077
1127
2157
3177
done177
01120
12314
23214
34414
46514
513114
634114
7126214
done500114
01010
1237
2327
3447
4657
51317
63427
712617
done50007
01118
12615
25010
38510
416210
53969
612299
done50009
01010
1237
2327
3447
4657
51317
63427
712607
done50007
01010
1237
2327
3457
4667
51317
63477
712607
done50007
01010
1237
2327
3457
4667
51317
63477
712607
done50007
044
1141
2181
done181
099
1226
2316
3436
4646
51286
63456
712556
done50006
077
1127
2157
3177
done177
0814
11314
21614
31814
done1814
01010
12310
23310
34510
46610
512710
633410
7126310
done500010
01010
12310
23310
34510
46610
512710
633410
7126310
done500010
022
141
done41
099
1226
2316
3436
4646
51286
63456
712556
done50006
01111
1219
2309
3429
4659
51289
63419
712709
done50009
01111
1219
2309
3429
4659
51289
63419
712709
done50009
01121
12415
23315
34515
46615
512915
633915
7127715
done500015
01010
1237
2327
3447
4657
51317
63427
712617
done50007
01129
1228
2318
3438
4648
51288
63448
712698
done50008
01010
1237
2327
3447
4657
51317
63427
712617
done50007
01010
1237
2327
3447
4657
51317
63427
712617
done50007
089
199
done99
089
199
done99
077
1127
2157
3177
done177
077
1127
2157
3177
done177
0815
11315
21615
31815
done1815
077
1127
2157
3177
done177
0820
11420
2198
3268
4328
5428
6638
71248
83398
912788
done50018
077
1127
2157
3177
done177
077
1127
2157
3177
done177
089
199
done99
089
199
done99
077
1127
2157
3177
done177
077
1127
2157
3177
done177
0815
11315
21615
31815
done1815
077
1127
2157
3177
done177
0820
11420
2198
3268
4328
5428
6638
71248
83398
912788
done50018
077
1127
2157
3177
done177
077
1127
2157
3177
done177
089
199
done99
089
199
done99
077
1127
2157
3177
done177
077
1127
2157
3177
done177
0815
11315
21615
31815
done1815
077
1127
2157
3177
done177
0820
11420
2198
3268
4328
5428
6638
71248
83398
912788
done50018
077
1127
2157
3177
done177
077
1127
2157
3177
done177
01113
12713
25611
312311
427211
568611
6271111
done500111
066
196
2166
3216
4256
done256
066
196
2166
3216
4256
done256
01113
12713
25611
312311
427211
568611
6271111
done500111
066
196
2166
3216
4256
done256
066
196
2166
3216
4256
done256
01113
12713
25611
312311
427211
568611
6271111
done500111
066
196
2166
3216
4256
done256
066
196
2166
3216
4256
done256
01113
12713
25611
312311
427211
568611
6271111
done500111
066
196
2166
3216
4256
done256
066
196
2166
3216
4256
done256

prune423.0ms

Filtered
46 candidates to 57 candidates (-23.9%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New54357
Fresh21315
Picked101
Done000
Total571673

Merged error: 12.3b

Counts
73 → 16

regimes1.9s

Accuracy

0% (0.5b remaining)

Error of 13.6b against oracle of 13.2b and baseline of 13.6b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
037108
148108
done48108

end0.0ms

sample18.3s

Algorithm
intervals
Results
13.1s4835×body1280valid
3.3s1854×body640valid
670.0ms537×body320valid
203.0ms575×body80valid
160.0ms202×body160valid

Profiling

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