Details

sample554.0ms

Algorithm

intervals

Results

357.0ms	147×	body	1280	valid
135.0ms	73×	body	640	valid
12.0ms	15×	body	320	valid
5.0ms	19×	body	80	valid
1.0ms	3×	body	160	valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	26	1117
1	56	1117
2	96	1117
3	180	1117
4	325	1117
5	870	1117
done	5000	1117

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.0b

localize83.0ms

Local error

Found 4 expressions with local error:

2.6b	(sin (/ (- lambda1 lambda2) 2.0))
2.6b	(sin (/ (- lambda1 lambda2) 2.0))
3.8b	(sin (/ (- phi1 phi2) 2.0))
3.8b	(sin (/ (- phi1 phi2) 2.0))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 32

Calls

4 calls:

9.0ms	(sin (/ (- lambda1 lambda2) 2.0))
13.0ms	(sin (/ (- lambda1 lambda2) 2.0))
13.0ms	(sin (/ (- phi1 phi2) 2.0))
13.0ms	(sin (/ (- phi1 phi2) 2.0))

series207.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(sin (/ (- lambda1 lambda2) 2.0))
44.0ms	(sin (/ (- lambda1 lambda2) 2.0))
58.0ms	(sin (/ (- phi1 phi2) 2.0))
56.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify2.0s

Counts

44 → 44

Iterations

Useful iterations: 3 (89.0ms)

Iter	Nodes	Cost
0	60	10752
1	103	10228
2	176	10148
3	386	10068
4	890	10068
5	2609	10068
done	5000	10068

prune836.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 22.5b

localize211.0ms

Local error

Found 4 expressions with local error:

2.6b	(sin (/ (- lambda1 lambda2) 2.0))
2.6b	(sin (/ (- lambda1 lambda2) 2.0))
2.6b	(sin (/ (- lambda1 lambda2) 2.0))
3.8b	(sin (/ (- phi1 phi2) 2.0))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 32

Calls

4 calls:

8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
9.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- phi1 phi2) 2.0))

series226.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(sin (/ (- lambda1 lambda2) 2.0))
53.0ms	(sin (/ (- lambda1 lambda2) 2.0))
67.0ms	(sin (/ (- lambda1 lambda2) 2.0))
63.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify2.8s

Counts

44 → 44

Iterations

Useful iterations: 3 (151.0ms)

Iter	Nodes	Cost
0	60	10752
1	103	10228
2	176	10108
3	386	10068
4	890	10068
5	2609	10068
done	5000	10068

prune1.1s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 12.7b

localize131.0ms

Local error

Found 4 expressions with local error:

2.6b	(sin (/ (- lambda1 lambda2) 2.0))
2.6b	(sin (/ (- lambda1 lambda2) 2.0))
2.6b	(sin (/ (- lambda1 lambda2) 2.0))
2.6b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 32

Calls

4 calls:

8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series222.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(sin (/ (- lambda1 lambda2) 2.0))
64.0ms	(sin (/ (- lambda1 lambda2) 2.0))
66.0ms	(sin (/ (- lambda1 lambda2) 2.0))
47.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify2.3s

Counts

44 → 44

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	32	10752
1	55	10228
2	92	10068
3	203	10068
4	449	10068
5	1328	10068
done	5000	10068

prune1.0s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 12.7b

localize185.0ms

Local error

Found 4 expressions with local error:

2.6b	(sin (/ (- lambda1 lambda2) 2.0))
2.6b	(sin (/ (- lambda1 lambda2) 2.0))
2.6b	(sin (/ (- lambda1 lambda2) 2.0))
2.8b	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`pow1`
4×	`add-cbrt-cube` `div-sub` `add-exp-log` `log-pow` `sin-diff` `add-log-exp`
3×	`log-prod` `exp-prod`
1×	`log-div` `exp-diff` `rem-log-exp`

Counts

4 → 40

Calls

4 calls:

8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
14.0ms	(sin (/ (- lambda1 lambda2) 2.0))
15.0ms	(sin (/ (- lambda1 lambda2) 2.0))
33.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

series198.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(sin (/ (- lambda1 lambda2) 2.0))
50.0ms	(sin (/ (- lambda1 lambda2) 2.0))
52.0ms	(sin (/ (- lambda1 lambda2) 2.0))
53.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

simplify2.2s

Counts

52 → 52

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	58	14928
1	95	12374
2	160	12214
3	321	12214
4	692	12214
5	1955	12214
done	5000	12214

prune841.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 12.7b

regimes2.9s

Accuracy

0% (0.4b remaining)

Error of 14.4b against oracle of 14.0b and baseline of 14.4b

bsearch0.0ms

simplify14.0ms

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	38	1717
1	48	1717
done	48	1717

end0.0ms

sample18.6s

Algorithm

intervals

Results

13.1s	4791×	body	1280	valid
3.8s	1938×	body	640	valid
616.0ms	556×	body	80	valid
482.0ms	536×	body	320	valid
106.0ms	183×	body	160	valid
2.0ms	2×	body	640	nan
1.0ms	1×	body	160	nan