Details

sample627.0ms

Algorithm

intervals

Results

462.0ms	166×	body	1280	valid
88.0ms	54×	body	640	valid
20.0ms	18×	body	320	valid
4.0ms	6×	body	160	valid
4.0ms	12×	body	80	valid

simplify4.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5005
7	4198
6	1145
5	472
4	297
3	172
2	95
1	56
0	26

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.9b

localize127.0ms

Local error

Found 4 expressions with local error:

4.6b	(sin (/ (- lambda1 lambda2) 2.0))
4.6b	(sin (/ (- lambda1 lambda2) 2.0))
4.6b	(sin (/ (- lambda1 lambda2) 2.0))
4.6b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite63.0ms

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

series227.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(sin (/ (- lambda1 lambda2) 2.0))
42.0ms	(sin (/ (- lambda1 lambda2) 2.0))
54.0ms	(sin (/ (- lambda1 lambda2) 2.0))
67.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify3.3s

Counts

44 → 44

Iterations

Iter	Nodes
done	5000
6	1956
5	632
4	303
3	169
2	91
1	55
0	32

prune816.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 28.1b

localize184.0ms

Local error

Found 4 expressions with local error:

4.6b	(sin (/ (- lambda1 lambda2) 2.0))
4.6b	(sin (/ (- lambda1 lambda2) 2.0))
4.6b	(sin (/ (- lambda1 lambda2) 2.0))
6.7b	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (sin (/ (- lambda1 lambda2) 2.0))) (sin (/ (- lambda1 lambda2) 2.0))))

rewrite135.0ms

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:

16.0ms	(sin (/ (- lambda1 lambda2) 2.0))
16.0ms	(sin (/ (- lambda1 lambda2) 2.0))
16.0ms	(sin (/ (- lambda1 lambda2) 2.0))
86.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (sin (/ (- lambda1 lambda2) 2.0))) (sin (/ (- lambda1 lambda2) 2.0))))

series207.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(sin (/ (- lambda1 lambda2) 2.0))
61.0ms	(sin (/ (- lambda1 lambda2) 2.0))
46.0ms	(sin (/ (- lambda1 lambda2) 2.0))
48.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (sin (/ (- lambda1 lambda2) 2.0))) (sin (/ (- lambda1 lambda2) 2.0))))

simplify3.1s

Counts

47 → 47

Iterations

Iter	Nodes
done	5000
6	2381
5	982
4	488
3	260
2	132
1	79
0	50

prune920.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 28.1b

localize177.0ms

Local error

Found 4 expressions with local error:

4.6b	(sin (/ (- lambda1 lambda2) 2.0))
4.6b	(sin (/ (- lambda1 lambda2) 2.0))
6.7b	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (sin (/ (- lambda1 lambda2) 2.0))) (cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (sin (/ (- lambda1 lambda2) 2.0))) (sin (/ (- lambda1 lambda2) 2.0))))))
6.7b	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (sin (/ (- lambda1 lambda2) 2.0))) (sin (/ (- lambda1 lambda2) 2.0))))

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 39

Calls

4 calls:

16.0ms	(sin (/ (- lambda1 lambda2) 2.0))
16.0ms	(sin (/ (- lambda1 lambda2) 2.0))
78.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (sin (/ (- lambda1 lambda2) 2.0))) (cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (sin (/ (- lambda1 lambda2) 2.0))) (sin (/ (- lambda1 lambda2) 2.0))))))
51.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (sin (/ (- lambda1 lambda2) 2.0))) (sin (/ (- lambda1 lambda2) 2.0))))

series258.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(sin (/ (- lambda1 lambda2) 2.0))
55.0ms	(sin (/ (- lambda1 lambda2) 2.0))
59.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (sin (/ (- lambda1 lambda2) 2.0))) (cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (sin (/ (- lambda1 lambda2) 2.0))) (sin (/ (- lambda1 lambda2) 2.0))))))
73.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (sin (/ (- lambda1 lambda2) 2.0))) (sin (/ (- lambda1 lambda2) 2.0))))

simplify3.5s

Counts

51 → 51

Iterations

Iter	Nodes
done	5000
6	2537
5	1107
4	627
3	333
2	177
1	107
0	68

prune1.1s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 28.1b

localize174.0ms

Local error

Found 4 expressions with local error:

4.6b	(sin (/ (- lambda1 lambda2) 2.0))
4.6b	(sin (/ (- lambda1 lambda2) 2.0))
4.6b	(sin (/ (- lambda1 lambda2) 2.0))
6.7b	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (sin (/ (- lambda1 lambda2) 2.0))) (sin (/ (- lambda1 lambda2) 2.0))))

rewrite115.0ms

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:

15.0ms	(sin (/ (- lambda1 lambda2) 2.0))
16.0ms	(sin (/ (- lambda1 lambda2) 2.0))
16.0ms	(sin (/ (- lambda1 lambda2) 2.0))
68.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (sin (/ (- lambda1 lambda2) 2.0))) (sin (/ (- lambda1 lambda2) 2.0))))

series199.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify3.1s

Counts

47 → 47

Iterations

Iter	Nodes
done	5000
6	2381
5	982
4	488
3	260
2	132
1	79
0	50

prune666.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 28.0b

regimes2.7s

Accuracy

0% (0.7b remaining)

Error of 24.8b against oracle of 24.1b and baseline of 24.8b

bsearch0.0ms

simplify25.0ms

Iterations

Iter	Nodes
done	47
1	47
0	37

end0.0ms

sample20.2s

Algorithm

intervals

Results

14.2s	4696×	body	1280	valid
4.7s	1983×	body	640	valid
524.0ms	546×	body	320	valid
160.0ms	194×	body	160	valid
154.0ms	585×	body	80	valid