Details

sample472.0ms

Algorithm

intervals

Results

357.0ms	162×	body	1280	valid
52.0ms	50×	body	640	valid
15.0ms	19×	body	320	valid
4.0ms	18×	body	80	valid
4.0ms	7×	body	160	valid

simplify4.8s

Counts

1 → 1

Iterations

Useful iterations: 2 (54.0ms)

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

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 26.2b

localize59.0ms

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))

rewrite76.0ms

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:

19.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
11.0ms	(sin (/ (- lambda1 lambda2) 2.0))
33.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series233.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(sin (/ (- lambda1 lambda2) 2.0))
46.0ms	(sin (/ (- lambda1 lambda2) 2.0))
60.0ms	(sin (/ (- lambda1 lambda2) 2.0))
68.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify6.0s

Counts

52 → 52

Iterations

Useful iterations: 2 (39.0ms)

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

prune677.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 25.7b

localize84.0ms

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))

rewrite81.0ms

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:

17.0ms	(sin (/ (- lambda1 lambda2) 2.0))
20.0ms	(sin (/ (- lambda1 lambda2) 2.0))
21.0ms	(sin (/ (- lambda1 lambda2) 2.0))
22.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series207.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(sin (/ (- lambda1 lambda2) 2.0))
51.0ms	(sin (/ (- lambda1 lambda2) 2.0))
50.0ms	(sin (/ (- lambda1 lambda2) 2.0))
45.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify6.5s

Counts

52 → 52

Iterations

Useful iterations: 2 (18.0ms)

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

prune828.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 25.7b

localize66.0ms

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` `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:

23.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
16.0ms	(sin (/ (- lambda1 lambda2) 2.0))
17.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series219.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(sin (/ (- lambda1 lambda2) 2.0))
42.0ms	(sin (/ (- lambda1 lambda2) 2.0))
49.0ms	(sin (/ (- lambda1 lambda2) 2.0))
68.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify6.1s

Counts

52 → 52

Iterations

Useful iterations: 2 (23.0ms)

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

prune801.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 25.7b

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

rewrite54.0ms

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))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
13.0ms	(sin (/ (- lambda1 lambda2) 2.0))
19.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

series227.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(sin (/ (- lambda1 lambda2) 2.0))
55.0ms	(sin (/ (- lambda1 lambda2) 2.0))
55.0ms	(sin (/ (- lambda1 lambda2) 2.0))
57.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify2.1s

Counts

65 → 65

Iterations

Useful iterations: done (2.1s)

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

prune660.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 25.7b

regimes1.6s

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	36	72
1	45	72
done	45	72

end0.0ms

sample17.7s

Algorithm

intervals

Results

12.8s	4673×	body	1280	valid
3.1s	1979×	body	640	valid
838.0ms	565×	body	320	valid
204.0ms	612×	body	80	valid
94.0ms	173×	body	160	valid