Details

sample556.0ms

Algorithm

intervals

Results

354.0ms	153×	body	1280	valid
131.0ms	68×	body	640	valid
28.0ms	14×	body	320	valid
4.0ms	16×	body	80	valid
3.0ms	5×	body	160	valid

simplify4.3s

Counts

1 → 1

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	26	65
1	56	65
2	100	63
3	186	63
4	371	63
5	700	63
6	1587	63
done	5001	63

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 26.7b

localize73.0ms

Local error

Found 4 expressions with local error:

3.6b	(sin (/ (- lambda1 lambda2) 2.0))
3.6b	(sin (/ (- lambda1 lambda2) 2.0))
3.6b	(sin (/ (- lambda1 lambda2) 2.0))
3.6b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `div-sub` `sin-diff` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

13.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
11.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series186.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(sin (/ (- lambda1 lambda2) 2.0))
49.0ms	(sin (/ (- lambda1 lambda2) 2.0))
44.0ms	(sin (/ (- lambda1 lambda2) 2.0))
46.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify6.0s

Counts

52 → 52

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	34	508
1	59	504
2	100	452
3	189	452
4	394	452
5	940	452
6	2827	452
done	5000	452

prune724.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 26.4b

localize98.0ms

Local error

Found 4 expressions with local error:

3.6b	(sin (/ (- lambda1 lambda2) 2.0))
3.6b	(sin (/ (- lambda1 lambda2) 2.0))
3.6b	(sin (/ (- lambda1 lambda2) 2.0))
5.9b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 53

Calls

4 calls:

10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
11.0ms	(sin (/ (- lambda1 lambda2) 2.0))
20.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

series226.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(sin (/ (- lambda1 lambda2) 2.0))
53.0ms	(sin (/ (- lambda1 lambda2) 2.0))
72.0ms	(sin (/ (- lambda1 lambda2) 2.0))
46.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify2.2s

Counts

65 → 65

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	63	773
1	113	626
2	235	586
3	574	586
4	2250	586
done	5000	577

prune1.3s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 26.4b

localize105.0ms

Local error

Found 4 expressions with local error:

3.6b	(sin (/ (- lambda1 lambda2) 2.0))
3.6b	(sin (/ (- lambda1 lambda2) 2.0))
3.6b	(sin (/ (- lambda1 lambda2) 2.0))
5.9b	(cbrt (pow (log1p (expm1 (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` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 53

Calls

4 calls:

18.0ms	(sin (/ (- lambda1 lambda2) 2.0))
18.0ms	(sin (/ (- lambda1 lambda2) 2.0))
31.0ms	(sin (/ (- lambda1 lambda2) 2.0))
4.0ms	(cbrt (pow (log1p (expm1 (sin (/ (- lambda1 lambda2) 2.0)))) 3))

series284.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(sin (/ (- lambda1 lambda2) 2.0))
45.0ms	(sin (/ (- lambda1 lambda2) 2.0))
56.0ms	(sin (/ (- lambda1 lambda2) 2.0))
125.0ms	(cbrt (pow (log1p (expm1 (sin (/ (- lambda1 lambda2) 2.0)))) 3))

simplify2.4s

Counts

65 → 65

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	68	849
1	117	626
2	242	586
3	598	586
4	2277	586
done	5001	577

prune776.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 26.4b

localize78.0ms

Local error

Found 4 expressions with local error:

3.6b	(sin (/ (- lambda1 lambda2) 2.0))
3.6b	(sin (/ (- lambda1 lambda2) 2.0))
5.9b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))
5.9b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

rewrite66.0ms

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` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`cube-mult` `pow1/3` `unpow3` `div-sub` `sin-diff` `rem-cbrt-cube` `sqr-pow`

Counts

4 → 66

Calls

4 calls:

10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
15.0ms	(sin (/ (- lambda1 lambda2) 2.0))
28.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))
11.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

series213.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(sin (/ (- lambda1 lambda2) 2.0))
43.0ms	(sin (/ (- lambda1 lambda2) 2.0))
60.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))
60.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify2.4s

Counts

78 → 78

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	63	1038
1	113	800
2	235	740
3	574	740
4	2250	740
done	5000	726

prune732.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 26.3b

regimes1.1s

Accuracy

0% (0.6b remaining)

Error of 24.6b against oracle of 24.0b and baseline of 24.6b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	33	76
1	43	76
done	43	76

end0.0ms

sample18.4s

Algorithm

intervals

Results

12.7s	4683×	body	1280	valid
4.1s	1987×	body	640	valid
569.0ms	545×	body	320	valid
158.0ms	205×	body	160	valid
142.0ms	581×	body	80	valid
1.0ms	1×	body	640	nan
0.0ms	1×	body	80	nan