Details

sample605.0ms

Algorithm

intervals

Results

403.0ms	158×	body	1280	valid
137.0ms	59×	body	640	valid
12.0ms	14×	body	320	valid
5.0ms	20×	body	80	valid
3.0ms	5×	body	160	valid

simplify1.5s

Counts

1 → 1

Iterations

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

prune48.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 21.4b

localize81.0ms

Local error

Found 4 expressions with local error:

3.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.3b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite79.0ms

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:

19.0ms	(sin (/ (- lambda1 lambda2) 2.0))
18.0ms	(sin (/ (- lambda1 lambda2) 2.0))
16.0ms	(sin (/ (- lambda1 lambda2) 2.0))
26.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series213.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(sin (/ (- lambda1 lambda2) 2.0))
64.0ms	(sin (/ (- lambda1 lambda2) 2.0))
45.0ms	(sin (/ (- lambda1 lambda2) 2.0))
49.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify2.0s

Counts

44 → 44

Iterations

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

prune723.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 20.9b

localize113.0ms

Local error

Found 4 expressions with local error:

3.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.3b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite72.0ms

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))
27.0ms	(sin (/ (- lambda1 lambda2) 2.0))
14.0ms	(sin (/ (- lambda1 lambda2) 2.0))
14.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series233.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(sin (/ (- lambda1 lambda2) 2.0))
63.0ms	(sin (/ (- lambda1 lambda2) 2.0))
67.0ms	(sin (/ (- lambda1 lambda2) 2.0))
65.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify2.1s

Counts

44 → 44

Iterations

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

prune793.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 20.9b

localize94.0ms

Local error

Found 4 expressions with local error:

3.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.3b	(sin (/ (- lambda1 lambda2) 2.0))
7.7b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `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:

8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

series213.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(sin (/ (- lambda1 lambda2) 2.0))
66.0ms	(sin (/ (- lambda1 lambda2) 2.0))
65.0ms	(sin (/ (- lambda1 lambda2) 2.0))
42.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify1.0s

Counts

57 → 57

Iterations

Iter	Nodes
done	5001
2	573
1	124
0	59

prune916.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 20.9b

localize98.0ms

Local error

Found 4 expressions with local error:

3.3b	(sin (/ (- lambda1 lambda2) 2.0))
3.3b	(sin (/ (- lambda1 lambda2) 2.0))
7.7b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))
7.7b	(cbrt (pow (cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3)) 3))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
16.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))
40.0ms	(cbrt (pow (cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3)) 3))

series251.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(sin (/ (- lambda1 lambda2) 2.0))
65.0ms	(sin (/ (- lambda1 lambda2) 2.0))
68.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))
66.0ms	(cbrt (pow (cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3)) 3))

simplify2.7s

Counts

94 → 94

Iterations

Iter	Nodes
done	5000
3	4661
2	785
1	246
0	97

prune783.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 20.9b

regimes2.0s

Accuracy

0% (0.6b remaining)

Error of 24.7b against oracle of 24.2b and baseline of 24.7b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	44
1	44
0	35

end0.0ms

sample20.5s

Algorithm

intervals

Results

13.8s	4675×	body	1280	valid
4.9s	2013×	body	640	valid
637.0ms	530×	body	320	valid
207.0ms	558×	body	80	valid
136.0ms	224×	body	160	valid
1.0ms	1×	body	320	nan
1.0ms	1×	body	160	nan
0.0ms	1×	body	80	nan