Details

sample265.0ms

Algorithm

intervals

Results

183.0ms	152×	body	1280	valid
48.0ms	68×	body	640	valid
8.0ms	17×	body	320	valid
2.0ms	14×	body	80	valid
1.0ms	5×	body	160	valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	65
1	56	65
2	96	65
3	169	65
4	310	65
5	530	65
6	1524	65
done	5000	65

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.9b

localize33.0ms

Local error

Found 4 expressions with local error:

3.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 32

Calls

4 calls:

5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series151.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
40.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify3.6s

Counts

44 → 44

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	32	452
1	55	452
2	90	396
3	168	396
4	350	396
5	958	396
6	3580	396
done	5000	396

prune376.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 24.3b

localize41.0ms

Local error

Found 4 expressions with local error:

3.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(sin (/ (- lambda1 lambda2) 2.0))
5.8b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`unpow-prod-down` `div-sub` `cube-prod` `sin-diff`
1×	`cube-mult` `pow1/3` `unpow3` `rem-cbrt-cube` `sqr-pow`

Counts

4 → 45

Calls

4 calls:

5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
7.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

series149.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
39.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify1.0s

Counts

57 → 57

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	59	711
1	106	574
2	229	530
3	584	530
4	1983	530
done	5000	530

prune461.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 24.3b

localize46.0ms

Local error

Found 4 expressions with local error:

3.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(sin (/ (- lambda1 lambda2) 2.0))
5.8b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))
5.8b	(cbrt (pow (cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3)) 3))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

72×	`cbrt-prod`
24×	`unpow-prod-down` `cube-prod`
16×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `cube-mult` `unpow3` `add-cbrt-cube` `add-log-exp` `sqr-pow`
2×	`pow1/3` `div-sub` `sin-diff` `rem-cbrt-cube`

Counts

4 → 82

Calls

4 calls:

5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))
15.0ms	(cbrt (pow (cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3)) 3))

series151.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
38.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))
42.0ms	(cbrt (pow (cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3)) 3))

simplify1.2s

Counts

94 → 94

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	97	1716
1	182	1132
2	344	1028
3	796	1028
4	2544	1028
done	5000	1028

prune480.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 24.3b

localize54.0ms

Local error

Found 4 expressions with local error:

3.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(sin (/ (- lambda1 lambda2) 2.0))
5.8b	(cbrt (pow (* (cbrt (pow (cbrt (sin (/ (- lambda1 lambda2) 2.0))) 6)) (cbrt (sin (/ (- lambda1 lambda2) 2.0)))) 3))
5.8b	(cbrt (pow (cbrt (pow (* (cbrt (pow (cbrt (sin (/ (- lambda1 lambda2) 2.0))) 6)) (cbrt (sin (/ (- lambda1 lambda2) 2.0)))) 3)) 3))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

52×	`cbrt-prod`
14×	`unpow-prod-down` `cube-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `cube-mult` `unpow3` `add-cbrt-cube` `add-log-exp` `sqr-pow`
2×	`pow1/3` `div-sub` `sin-diff` `rem-cbrt-cube`

Counts

4 → 70

Calls

4 calls:

5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
2.0ms	(cbrt (pow (* (cbrt (pow (cbrt (sin (/ (- lambda1 lambda2) 2.0))) 6)) (cbrt (sin (/ (- lambda1 lambda2) 2.0)))) 3))
5.0ms	(cbrt (pow (cbrt (pow (* (cbrt (pow (cbrt (sin (/ (- lambda1 lambda2) 2.0))) 6)) (cbrt (sin (/ (- lambda1 lambda2) 2.0)))) 3)) 3))

series159.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
38.0ms	(cbrt (pow (* (cbrt (pow (cbrt (sin (/ (- lambda1 lambda2) 2.0))) 6)) (cbrt (sin (/ (- lambda1 lambda2) 2.0)))) 3))
44.0ms	(cbrt (pow (cbrt (pow (* (cbrt (pow (cbrt (sin (/ (- lambda1 lambda2) 2.0))) 6)) (cbrt (sin (/ (- lambda1 lambda2) 2.0)))) 3)) 3))

simplify1.6s

Counts

82 → 82

Iterations

Useful iterations: 3 (234.0ms)

Iter	Nodes	Cost
0	99	2496
1	195	1894
2	468	1086
3	1322	902
4	3143	902
done	5000	902

prune448.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 24.3b

regimes1.3s

Accuracy

0% (0.6b remaining)

Error of 24.9b against oracle of 24.2b and baseline of 24.9b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	83
1	49	83
done	49	83

end0.0ms

sample7.9s

Algorithm

intervals

Results

5.7s	4742×	body	1280	valid
1.5s	1995×	body	640	valid
253.0ms	526×	body	320	valid
74.0ms	551×	body	80	valid
59.0ms	188×	body	160	valid
1.0ms	1×	body	640	nan
0.0ms	1×	body	320	nan