Details

sample574.0ms

Algorithm

intervals

Results

427.0ms	152×	body	1280	valid
80.0ms	58×	body	640	valid
11.0ms	12×	body	320	valid
9.0ms	12×	body	160	valid
6.0ms	22×	body	80	valid

simplify1.9s

Counts

1 → 1

Iterations

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

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.7b

localize162.0ms

Local error

Found 4 expressions with local error:

3.2b	(sin (/ (- lambda1 lambda2) 2.0))
3.2b	(sin (/ (- lambda1 lambda2) 2.0))
3.2b	(sin (/ (- lambda1 lambda2) 2.0))
3.2b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite66.0ms

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:

18.0ms	(sin (/ (- lambda1 lambda2) 2.0))
16.0ms	(sin (/ (- lambda1 lambda2) 2.0))
17.0ms	(sin (/ (- lambda1 lambda2) 2.0))
14.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series224.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(sin (/ (- lambda1 lambda2) 2.0))
49.0ms	(sin (/ (- lambda1 lambda2) 2.0))
56.0ms	(sin (/ (- lambda1 lambda2) 2.0))
53.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify2.3s

Counts

44 → 44

Iterations

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

prune770.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 23.3b

localize202.0ms

Local error

Found 4 expressions with local error:

3.2b	(sin (/ (- lambda1 lambda2) 2.0))
3.2b	(sin (/ (- lambda1 lambda2) 2.0))
3.2b	(sin (/ (- lambda1 lambda2) 2.0))
8.7b	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (sin (/ (- lambda1 lambda2) 2.0))) (sin (/ (- lambda1 lambda2) 2.0))))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`div-sub` `sin-diff`
1×	`cbrt-prod` `cbrt-div` `pow1/3` `pow3` `associate-*l/` `rem-cbrt-cube` `sin-mult`

Counts

4 → 35

Calls

4 calls:

8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
56.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (sin (/ (- lambda1 lambda2) 2.0))) (sin (/ (- lambda1 lambda2) 2.0))))

series220.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(sin (/ (- lambda1 lambda2) 2.0))
55.0ms	(sin (/ (- lambda1 lambda2) 2.0))
50.0ms	(sin (/ (- lambda1 lambda2) 2.0))
44.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (sin (/ (- lambda1 lambda2) 2.0))) (sin (/ (- lambda1 lambda2) 2.0))))

simplify1.3s

Counts

47 → 47

Iterations

Iter	Nodes
done	5000
4	926
3	327
2	138
1	81
0	50

prune1.0s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 23.3b

localize243.0ms

Local error

Found 4 expressions with local error:

3.2b	(sin (/ (- lambda1 lambda2) 2.0))
3.2b	(sin (/ (- lambda1 lambda2) 2.0))
3.2b	(sin (/ (- lambda1 lambda2) 2.0))
8.7b	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (* (* (cbrt (sin (/ (- lambda1 lambda2) 2.0))) (cbrt (sin (/ (- lambda1 lambda2) 2.0)))) (cbrt (sin (/ (- lambda1 lambda2) 2.0))))) (sin (/ (- lambda1 lambda2) 2.0))))

rewrite938.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 33

Calls

4 calls:

15.0ms	(sin (/ (- lambda1 lambda2) 2.0))
15.0ms	(sin (/ (- lambda1 lambda2) 2.0))
15.0ms	(sin (/ (- lambda1 lambda2) 2.0))
891.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (* (* (cbrt (sin (/ (- lambda1 lambda2) 2.0))) (cbrt (sin (/ (- lambda1 lambda2) 2.0)))) (cbrt (sin (/ (- lambda1 lambda2) 2.0))))) (sin (/ (- lambda1 lambda2) 2.0))))

series191.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(sin (/ (- lambda1 lambda2) 2.0))
45.0ms	(sin (/ (- lambda1 lambda2) 2.0))
42.0ms	(sin (/ (- lambda1 lambda2) 2.0))
51.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (* (* (cbrt (sin (/ (- lambda1 lambda2) 2.0))) (cbrt (sin (/ (- lambda1 lambda2) 2.0)))) (cbrt (sin (/ (- lambda1 lambda2) 2.0))))) (sin (/ (- lambda1 lambda2) 2.0))))

simplify2.5s

Counts

45 → 45

Iterations

Iter	Nodes
done	5000
5	3431
4	1068
3	330
2	125
1	74
0	44

prune1.1s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 23.3b

localize199.0ms

Local error

Found 4 expressions with local error:

3.2b	(sin (/ (- lambda1 lambda2) 2.0))
3.2b	(sin (/ (- lambda1 lambda2) 2.0))
8.7b	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (sin (/ (- lambda1 lambda2) 2.0))) (sin (/ (- lambda1 lambda2) 2.0))))
8.7b	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (* (* (cbrt (sin (/ (- lambda1 lambda2) 2.0))) (cbrt (sin (/ (- lambda1 lambda2) 2.0)))) (cbrt (sin (/ (- lambda1 lambda2) 2.0))))) (sin (/ (- lambda1 lambda2) 2.0))))

rewrite963.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
2×	`cbrt-prod` `pow1/3` `div-sub` `sin-diff`
1×	`cbrt-div` `pow3` `associate-*l/` `rem-cbrt-cube` `sin-mult`

Counts

4 → 36

Calls

4 calls:

13.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
54.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (sin (/ (- lambda1 lambda2) 2.0))) (sin (/ (- lambda1 lambda2) 2.0))))
887.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (* (* (cbrt (sin (/ (- lambda1 lambda2) 2.0))) (cbrt (sin (/ (- lambda1 lambda2) 2.0)))) (cbrt (sin (/ (- lambda1 lambda2) 2.0))))) (sin (/ (- lambda1 lambda2) 2.0))))

series202.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(sin (/ (- lambda1 lambda2) 2.0))
53.0ms	(sin (/ (- lambda1 lambda2) 2.0))
47.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (sin (/ (- lambda1 lambda2) 2.0))) (sin (/ (- lambda1 lambda2) 2.0))))
55.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (* (* (cbrt (sin (/ (- lambda1 lambda2) 2.0))) (cbrt (sin (/ (- lambda1 lambda2) 2.0)))) (cbrt (sin (/ (- lambda1 lambda2) 2.0))))) (sin (/ (- lambda1 lambda2) 2.0))))

simplify6.2s

Counts

48 → 48

Iterations

Iter	Nodes
done	5002
4	3284
3	485
2	171
1	100
0	62

prune752.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 23.3b

regimes2.2s

Accuracy

0% (0.6b remaining)

Error of 24.5b against oracle of 23.9b and baseline of 24.5b

bsearch0.0ms

simplify24.0ms

Iterations

Iter	Nodes
done	54
1	54
0	40

end0.0ms

sample20.1s

Algorithm

intervals

Results

14.8s	4688×	body	1280	valid
3.8s	1990×	body	640	valid
688.0ms	581×	body	320	valid
158.0ms	191×	body	160	valid
140.0ms	551×	body	80	valid