Details

sample590.0ms

Algorithm

intervals

Results

441.0ms	158×	body	1280	valid
74.0ms	52×	body	640	valid
19.0ms	18×	body	320	valid
7.0ms	24×	body	80	valid
2.0ms	4×	body	160	valid

simplify1.7s

Counts

1 → 1

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	26	65
1	56	65
2	100	63
3	189	63
4	394	63
5	1058	63
done	5000	63

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 23.8b

localize53.0ms

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` `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:

20.0ms	(sin (/ (- lambda1 lambda2) 2.0))
21.0ms	(sin (/ (- lambda1 lambda2) 2.0))
15.0ms	(sin (/ (- lambda1 lambda2) 2.0))
17.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series203.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(sin (/ (- lambda1 lambda2) 2.0))
45.0ms	(sin (/ (- lambda1 lambda2) 2.0))
43.0ms	(sin (/ (- lambda1 lambda2) 2.0))
67.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify3.2s

Counts

52 → 52

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	34	508
1	59	504
2	102	452
3	226	452
4	564	452
5	1743	452
done	5000	452

prune690.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 23.3b

localize99.0ms

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))

rewrite65.0ms

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:

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

series252.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(sin (/ (- lambda1 lambda2) 2.0))
67.0ms	(sin (/ (- lambda1 lambda2) 2.0))
50.0ms	(sin (/ (- lambda1 lambda2) 2.0))
66.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify3.6s

Counts

52 → 52

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	34	508
1	59	504
2	102	452
3	226	452
4	564	452
5	1743	452
done	5000	452

prune774.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 23.3b

localize74.0ms

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` `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:

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

series261.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(sin (/ (- lambda1 lambda2) 2.0))
56.0ms	(sin (/ (- lambda1 lambda2) 2.0))
73.0ms	(sin (/ (- lambda1 lambda2) 2.0))
62.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify905.0ms

Counts

65 → 65

Iterations

Useful iterations: 2 (92.0ms)

Iter	Nodes	Cost
0	63	773
1	131	626
2	606	586
done	5000	586

prune891.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 23.3b

localize110.0ms

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 (cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3)) 3))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

72×	`cbrt-prod`
24×	`unpow-prod-down` `cube-prod`
16×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `cube-mult` `unpow3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `sqr-pow`
2×	`pow1/3` `div-sub` `sin-diff` `rem-cbrt-cube`

Counts

4 → 90

Calls

4 calls:

19.0ms	(sin (/ (- lambda1 lambda2) 2.0))
20.0ms	(sin (/ (- lambda1 lambda2) 2.0))
21.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))
69.0ms	(cbrt (pow (cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3)) 3))

series204.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(sin (/ (- lambda1 lambda2) 2.0))
52.0ms	(sin (/ (- lambda1 lambda2) 2.0))
41.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))
66.0ms	(cbrt (pow (cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3)) 3))

simplify3.1s

Counts

102 → 102

Iterations

Useful iterations: 2 (202.0ms)

Iter	Nodes	Cost
0	103	1790
1	253	1184
2	801	1084
3	4781	1084
done	5000	1084

prune796.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 23.3b

regimes2.7s

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	26	65
1	32	65
done	32	65

end0.0ms

sample18.4s

Algorithm

intervals

Results

13.0s	4671×	body	1280	valid
3.0s	1977×	body	640	valid
982.0ms	542×	body	320	valid
645.0ms	592×	body	80	valid
122.0ms	218×	body	160	valid
2.0ms	2×	body	640	nan