Details

sample556.0ms

Algorithm

intervals

Results

411.0ms	162×	body	1280	valid
69.0ms	50×	body	640	valid
21.0ms	19×	body	320	valid
5.0ms	18×	body	80	valid
4.0ms	7×	body	160	valid

simplify8.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.2b

localize54.0ms

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))

rewrite75.0ms

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:

12.0ms	(sin (/ (- lambda1 lambda2) 2.0))
18.0ms	(sin (/ (- lambda1 lambda2) 2.0))
13.0ms	(sin (/ (- lambda1 lambda2) 2.0))
30.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series231.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(sin (/ (- lambda1 lambda2) 2.0))
67.0ms	(sin (/ (- lambda1 lambda2) 2.0))
57.0ms	(sin (/ (- lambda1 lambda2) 2.0))
58.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify6.4s

Counts

44 → 44

Iterations

Useful iterations: 2 (19.0ms)

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

prune654.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 25.7b

localize80.0ms

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))

rewrite73.0ms

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:

15.0ms	(sin (/ (- lambda1 lambda2) 2.0))
33.0ms	(sin (/ (- lambda1 lambda2) 2.0))
13.0ms	(sin (/ (- lambda1 lambda2) 2.0))
11.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

series201.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(sin (/ (- lambda1 lambda2) 2.0))
52.0ms	(sin (/ (- lambda1 lambda2) 2.0))
61.0ms	(sin (/ (- lambda1 lambda2) 2.0))
42.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify2.4s

Counts

57 → 57

Iterations

Useful iterations: done (2.4s)

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

prune724.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 25.7b

localize116.0ms

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))

rewrite61.0ms

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:

22.0ms	(sin (/ (- lambda1 lambda2) 2.0))
16.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
12.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series224.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(sin (/ (- lambda1 lambda2) 2.0))
57.0ms	(sin (/ (- lambda1 lambda2) 2.0))
42.0ms	(sin (/ (- lambda1 lambda2) 2.0))
63.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify6.4s

Counts

44 → 44

Iterations

Useful iterations: 2 (25.0ms)

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

prune673.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 25.7b

localize72.0ms

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))

rewrite75.0ms

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:

19.0ms	(sin (/ (- lambda1 lambda2) 2.0))
21.0ms	(sin (/ (- lambda1 lambda2) 2.0))
11.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))
20.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

series229.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(sin (/ (- lambda1 lambda2) 2.0))
42.0ms	(sin (/ (- lambda1 lambda2) 2.0))
64.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))
60.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify2.1s

Counts

70 → 70

Iterations

Useful iterations: done (2.1s)

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

prune588.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 25.7b

regimes1.2s

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample18.0s

Algorithm

intervals

Results

12.7s	4673×	body	1280	valid
3.4s	1979×	body	640	valid
530.0ms	612×	body	80	valid
496.0ms	565×	body	320	valid
88.0ms	173×	body	160	valid