Details

sample577.0ms

Algorithm

intervals

Results

342.0ms	162×	body	1280	valid
172.0ms	50×	body	640	valid
17.0ms	19×	body	320	valid
4.0ms	18×	body	80	valid
4.0ms	7×	body	160	valid

simplify7.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	26	65
1	56	65
2	96	65
3	177	65
4	303	65
5	522	65
6	1279	65
7	4457	65
done	5000	65

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.2b

localize65.0ms

Local error

Found 4 expressions with local error:

4.3b	(sin (/ (- lambda1 lambda2) 2.0))
4.3b	(sin (/ (- lambda1 lambda2) 2.0))
4.3b	(sin (/ (- lambda1 lambda2) 2.0))
4.3b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

4×	`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:

21.0ms	(sin (/ (- lambda1 lambda2) 2.0))
20.0ms	(sin (/ (- lambda1 lambda2) 2.0))
14.0ms	(sin (/ (- lambda1 lambda2) 2.0))
11.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series228.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(sin (/ (- lambda1 lambda2) 2.0))
71.0ms	(sin (/ (- lambda1 lambda2) 2.0))
52.0ms	(sin (/ (- lambda1 lambda2) 2.0))
65.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify6.6s

Counts

44 → 44

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	32	452
1	55	452
2	90	396
3	168	396
4	306	396
5	742	396
6	2431	396
done	5000	396

prune548.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 25.7b

localize61.0ms

Local error

Found 4 expressions with local error:

4.3b	(sin (/ (- lambda1 lambda2) 2.0))
4.3b	(sin (/ (- lambda1 lambda2) 2.0))
4.3b	(sin (/ (- lambda1 lambda2) 2.0))
7.4b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`unpow-prod-down` `div-sub` `cube-prod` `sin-diff`
1×	`cube-mult` `pow1/3` `unpow3` `rem-cbrt-cube` `sqr-pow`

Counts

4 → 45

Calls

4 calls:

21.0ms	(sin (/ (- lambda1 lambda2) 2.0))
13.0ms	(sin (/ (- lambda1 lambda2) 2.0))
22.0ms	(sin (/ (- lambda1 lambda2) 2.0))
14.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

series226.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(sin (/ (- lambda1 lambda2) 2.0))
43.0ms	(sin (/ (- lambda1 lambda2) 2.0))
47.0ms	(sin (/ (- lambda1 lambda2) 2.0))
64.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify2.3s

Counts

57 → 57

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	59	711
1	106	574
2	221	530
3	543	530
4	2187	530
done	5000	521

prune1.2s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 25.7b

localize88.0ms

Local error

Found 4 expressions with local error:

4.3b	(sin (/ (- lambda1 lambda2) 2.0))
4.3b	(sin (/ (- lambda1 lambda2) 2.0))
4.3b	(sin (/ (- lambda1 lambda2) 2.0))
4.3b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

4×	`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:

14.0ms	(sin (/ (- lambda1 lambda2) 2.0))
11.0ms	(sin (/ (- lambda1 lambda2) 2.0))
23.0ms	(sin (/ (- lambda1 lambda2) 2.0))
19.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series247.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(sin (/ (- lambda1 lambda2) 2.0))
67.0ms	(sin (/ (- lambda1 lambda2) 2.0))
51.0ms	(sin (/ (- lambda1 lambda2) 2.0))
68.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify6.1s

Counts

44 → 44

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	32	452
1	55	452
2	90	396
3	168	396
4	306	396
5	742	396
6	2431	396
done	5000	396

prune756.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 25.7b

localize55.0ms

Local error

Found 4 expressions with local error:

4.3b	(sin (/ (- lambda1 lambda2) 2.0))
4.3b	(sin (/ (- lambda1 lambda2) 2.0))
7.4b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))
7.4b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
2×	`cube-mult` `pow1/3` `unpow3` `div-sub` `sin-diff` `rem-cbrt-cube` `sqr-pow`

Counts

4 → 58

Calls

4 calls:

20.0ms	(sin (/ (- lambda1 lambda2) 2.0))
20.0ms	(sin (/ (- lambda1 lambda2) 2.0))
15.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))
20.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

series206.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(sin (/ (- lambda1 lambda2) 2.0))
45.0ms	(sin (/ (- lambda1 lambda2) 2.0))
48.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))
56.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify2.3s

Counts

70 → 70

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	59	970
1	106	748
2	221	684
3	543	684
4	2187	684
done	5000	670

prune556.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 25.7b

regimes1.3s

Accuracy

0% (0.5b remaining)

Error of 24.6b against oracle of 24.1b and baseline of 24.6b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	32	71
1	41	71
done	41	71

end0.0ms

sample17.6s

Algorithm

intervals

Results

12.5s	4673×	body	1280	valid
3.7s	1979×	body	640	valid
540.0ms	565×	body	320	valid
253.0ms	612×	body	80	valid
140.0ms	173×	body	160	valid