Details

sample531.0ms

Algorithm

intervals

Results

372.0ms	147×	body	1280	valid
92.0ms	73×	body	640	valid
12.0ms	15×	body	320	valid
5.0ms	19×	body	80	valid
1.0ms	3×	body	160	valid

simplify1.9s

Counts

1 → 1

Iterations

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

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.0b

localize130.0ms

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))

rewrite69.0ms

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:

16.0ms	(sin (/ (- lambda1 lambda2) 2.0))
16.0ms	(sin (/ (- lambda1 lambda2) 2.0))
18.0ms	(sin (/ (- phi1 phi2) 2.0))
17.0ms	(sin (/ (- phi1 phi2) 2.0))

series219.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(sin (/ (- lambda1 lambda2) 2.0))
63.0ms	(sin (/ (- lambda1 lambda2) 2.0))
41.0ms	(sin (/ (- phi1 phi2) 2.0))
68.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify1.7s

Counts

44 → 44

Iterations

Iter	Nodes
done	5000
5	2609
4	890
3	386
2	176
1	103
0	60

prune739.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 22.5b

localize199.0ms

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))

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 (/ (- phi1 phi2) 2.0))

series169.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(sin (/ (- lambda1 lambda2) 2.0))
40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
45.0ms	(sin (/ (- lambda1 lambda2) 2.0))
42.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify1.9s

Counts

44 → 44

Iterations

Iter	Nodes
done	5000
5	2609
4	890
3	386
2	176
1	103
0	60

prune1.6s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 12.7b

localize198.0ms

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))

rewrite54.0ms

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))
11.0ms	(sin (/ (- lambda1 lambda2) 2.0))
18.0ms	(sin (/ (- lambda1 lambda2) 2.0))
16.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series190.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(sin (/ (- lambda1 lambda2) 2.0))
43.0ms	(sin (/ (- lambda1 lambda2) 2.0))
47.0ms	(sin (/ (- lambda1 lambda2) 2.0))
55.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify2.2s

Counts

44 → 44

Iterations

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

prune1.1s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 12.7b

localize196.0ms

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))))

rewrite69.0ms

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:

10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
9.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
41.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

series220.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(sin (/ (- lambda1 lambda2) 2.0))
45.0ms	(sin (/ (- lambda1 lambda2) 2.0))
64.0ms	(sin (/ (- lambda1 lambda2) 2.0))
49.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

simplify2.2s

Counts

52 → 52

Iterations

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

prune1.0s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 12.7b

regimes3.2s

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify19.0ms

Iterations

Iter	Nodes
done	48
1	48
0	38

end0.0ms

sample18.3s

Algorithm

intervals

Results

13.4s	4791×	body	1280	valid
3.3s	1938×	body	640	valid
544.0ms	536×	body	320	valid
183.0ms	183×	body	160	valid
131.0ms	556×	body	80	valid
2.0ms	2×	body	640	nan
1.0ms	1×	body	160	nan