Details

sample587.0ms

Algorithm

intervals

Results

399.0ms	166×	body	1280	valid
124.0ms	54×	body	640	valid
16.0ms	18×	body	320	valid
3.0ms	12×	body	80	valid
2.0ms	6×	body	160	valid

simplify1.8s

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: 28.9b

localize119.0ms

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))

rewrite40.0ms

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:

13.0ms	(sin (/ (- lambda1 lambda2) 2.0))
9.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series207.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
47.0ms	(sin (/ (- lambda1 lambda2) 2.0))
43.0ms	(sin (/ (- lambda1 lambda2) 2.0))
76.0ms	(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

prune777.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 28.1b

localize191.0ms

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))))

rewrite105.0ms

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))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
61.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (sin (/ (- lambda1 lambda2) 2.0))) (sin (/ (- lambda1 lambda2) 2.0))))

series230.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(sin (/ (- lambda1 lambda2) 2.0))
44.0ms	(sin (/ (- lambda1 lambda2) 2.0))
69.0ms	(sin (/ (- lambda1 lambda2) 2.0))
69.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (sin (/ (- lambda1 lambda2) 2.0))) (sin (/ (- lambda1 lambda2) 2.0))))

simplify1.2s

Counts

47 → 47

Iterations

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

prune817.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 28.1b

localize244.0ms

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))))

rewrite159.0ms

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:

12.0ms	(sin (/ (- lambda1 lambda2) 2.0))
16.0ms	(sin (/ (- lambda1 lambda2) 2.0))
62.0ms	(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))))))
69.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (sin (/ (- lambda1 lambda2) 2.0))) (sin (/ (- lambda1 lambda2) 2.0))))

series214.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(sin (/ (- lambda1 lambda2) 2.0))
60.0ms	(sin (/ (- lambda1 lambda2) 2.0))
58.0ms	(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))))))
53.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (sin (/ (- lambda1 lambda2) 2.0))) (sin (/ (- lambda1 lambda2) 2.0))))

simplify1.5s

Counts

51 → 51

Iterations

Iter	Nodes
done	5000
4	1394
3	494
2	185
1	109
0	68

prune937.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 28.1b

localize153.0ms

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))))

rewrite124.0ms

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))
15.0ms	(sin (/ (- lambda1 lambda2) 2.0))
16.0ms	(sin (/ (- lambda1 lambda2) 2.0))
83.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (sin (/ (- lambda1 lambda2) 2.0))) (sin (/ (- lambda1 lambda2) 2.0))))

series222.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(sin (/ (- lambda1 lambda2) 2.0))
55.0ms	(sin (/ (- lambda1 lambda2) 2.0))
56.0ms	(sin (/ (- lambda1 lambda2) 2.0))
54.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (sin (/ (- lambda1 lambda2) 2.0))) (sin (/ (- lambda1 lambda2) 2.0))))

simplify1.2s

Counts

47 → 47

Iterations

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

prune710.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 28.0b

regimes2.6s

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify24.0ms

Iterations

Iter	Nodes
done	47
1	47
0	37

end0.0ms

sample20.4s

Algorithm

intervals

Results

14.1s	4696×	body	1280	valid
4.5s	1983×	body	640	valid
606.0ms	194×	body	160	valid
517.0ms	546×	body	320	valid
157.0ms	585×	body	80	valid