Details

sample646.0ms

Algorithm

intervals

Results

478.0ms	158×	body	1280	valid
76.0ms	52×	body	640	valid
21.0ms	18×	body	320	valid
6.0ms	24×	body	80	valid
4.0ms	4×	body	160	valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	65
1	56	65
2	96	65
3	180	65
4	322	65
5	852	65
done	5000	65

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.8b

localize102.0ms

Local error

Found 4 expressions with local error:

3.0b	(sin (/ (- lambda1 lambda2) 2.0))
3.0b	(sin (/ (- lambda1 lambda2) 2.0))
3.0b	(sin (/ (- lambda1 lambda2) 2.0))
3.0b	(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:

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

series209.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(sin (/ (- lambda1 lambda2) 2.0))
43.0ms	(sin (/ (- lambda1 lambda2) 2.0))
54.0ms	(sin (/ (- lambda1 lambda2) 2.0))
50.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify1.7s

Counts

44 → 44

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	32	452
1	55	452
2	92	396
3	201	396
4	448	396
5	1251	396
done	5000	396

prune593.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 23.3b

localize61.0ms

Local error

Found 4 expressions with local error:

3.0b	(sin (/ (- lambda1 lambda2) 2.0))
3.0b	(sin (/ (- lambda1 lambda2) 2.0))
3.0b	(sin (/ (- lambda1 lambda2) 2.0))
7.4b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

rewrite74.0ms

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))
21.0ms	(sin (/ (- lambda1 lambda2) 2.0))
18.0ms	(sin (/ (- lambda1 lambda2) 2.0))
12.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

series251.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(sin (/ (- lambda1 lambda2) 2.0))
69.0ms	(sin (/ (- lambda1 lambda2) 2.0))
50.0ms	(sin (/ (- lambda1 lambda2) 2.0))
65.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify1.2s

Counts

57 → 57

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	59	711
1	124	574
2	580	530
done	5000	530

prune803.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 23.3b

localize108.0ms

Local error

Found 4 expressions with local error:

3.0b	(sin (/ (- lambda1 lambda2) 2.0))
3.0b	(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))

rewrite101.0ms

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:

22.0ms	(sin (/ (- lambda1 lambda2) 2.0))
30.0ms	(sin (/ (- lambda1 lambda2) 2.0))
21.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))
24.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

series222.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(sin (/ (- lambda1 lambda2) 2.0))
46.0ms	(sin (/ (- lambda1 lambda2) 2.0))
59.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))
49.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify1.6s

Counts

70 → 70

Iterations

Useful iterations: 2 (92.0ms)

Iter	Nodes	Cost
0	59	970
1	124	748
2	580	684
done	5000	684

prune840.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 23.3b

localize138.0ms

Local error

Found 4 expressions with local error:

3.0b	(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))
7.4b	(cbrt (pow (cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3)) 3))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
11.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))
19.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))
49.0ms	(cbrt (pow (cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3)) 3))

series251.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(sin (/ (- lambda1 lambda2) 2.0))
65.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))
46.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))
68.0ms	(cbrt (pow (cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3)) 3))

simplify3.1s

Counts

107 → 107

Iterations

Useful iterations: 2 (195.0ms)

Iter	Nodes	Cost
0	97	1975
1	246	1306
2	785	1182
3	4662	1182
done	5002	1182

prune736.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 23.3b

regimes1.7s

Accuracy

0% (0.7b remaining)

Error of 24.8b against oracle of 24.1b and baseline of 24.8b

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	32	74
1	41	74
done	41	74

end0.0ms

sample20.8s

Algorithm

intervals

Results

13.9s	4671×	body	1280	valid
4.0s	1977×	body	640	valid
1.1s	542×	body	320	valid
771.0ms	218×	body	160	valid
215.0ms	592×	body	80	valid
3.0ms	2×	body	640	nan