Details

sample438.0ms

Algorithm

intervals

Results

309.0ms	152×	body	1280	valid
62.0ms	57×	body	640	valid
18.0ms	25×	body	320	valid
3.0ms	7×	body	160	valid
3.0ms	15×	body	80	valid

simplify1.8s

Counts

1 → 1

Iterations

Useful iterations: 2 (434.0ms)

Iter	Nodes	Cost
0	26	65
1	56	65
2	100	63
3	189	63
4	394	63
5	1058	63
done	5000	63

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 24.5b

localize68.0ms

Local error

Found 4 expressions with local error:

3.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(sin (/ (- lambda1 lambda2) 2.0))
5.1b	(sin (/ (- phi1 phi2) 2.0))
5.1b	(sin (/ (- phi1 phi2) 2.0))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `div-sub` `sin-diff` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

23.0ms	(sin (/ (- lambda1 lambda2) 2.0))
22.0ms	(sin (/ (- lambda1 lambda2) 2.0))
21.0ms	(sin (/ (- phi1 phi2) 2.0))
13.0ms	(sin (/ (- phi1 phi2) 2.0))

series228.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(sin (/ (- lambda1 lambda2) 2.0))
54.0ms	(sin (/ (- lambda1 lambda2) 2.0))
64.0ms	(sin (/ (- phi1 phi2) 2.0))
71.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify3.4s

Counts

52 → 52

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	64	508
1	111	504
2	196	452
3	436	452
4	1113	452
5	3140	452
done	5000	452

prune824.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 23.0b

localize104.0ms

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))
5.1b	(sin (/ (- phi1 phi2) 2.0))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `div-sub` `sin-diff` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

14.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- phi1 phi2) 2.0))

series238.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(sin (/ (- lambda1 lambda2) 2.0))
52.0ms	(sin (/ (- lambda1 lambda2) 2.0))
65.0ms	(sin (/ (- lambda1 lambda2) 2.0))
50.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify3.3s

Counts

52 → 52

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	64	508
1	111	504
2	196	452
3	436	452
4	1113	452
5	3140	452
done	5000	452

prune1.1s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 13.0b

localize101.0ms

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))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `div-sub` `sin-diff` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
13.0ms	(sin (/ (- lambda1 lambda2) 2.0))
21.0ms	(sin (/ (- lambda1 lambda2) 2.0))
26.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series228.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(sin (/ (- lambda1 lambda2) 2.0))
49.0ms	(sin (/ (- lambda1 lambda2) 2.0))
58.0ms	(sin (/ (- lambda1 lambda2) 2.0))
53.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify3.0s

Counts

52 → 52

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	34	508
1	59	504
2	102	452
3	226	452
4	564	452
5	1743	452
done	5000	452

prune1.1s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 13.0b

localize150.0ms

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))
6.9b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 53

Calls

4 calls:

20.0ms	(sin (/ (- lambda1 lambda2) 2.0))
22.0ms	(sin (/ (- lambda1 lambda2) 2.0))
21.0ms	(sin (/ (- lambda1 lambda2) 2.0))
22.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

series228.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(sin (/ (- lambda1 lambda2) 2.0))
49.0ms	(sin (/ (- lambda1 lambda2) 2.0))
66.0ms	(sin (/ (- lambda1 lambda2) 2.0))
49.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify965.0ms

Counts

65 → 65

Iterations

Useful iterations: 2 (123.0ms)

Iter	Nodes	Cost
0	63	773
1	131	626
2	606	586
done	5000	586

prune765.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 12.9b

regimes2.4s

Accuracy

0% (0.4b remaining)

Error of 14.2b against oracle of 13.7b and baseline of 14.2b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	91
1	41	91
done	41	91

end0.0ms

sample20.4s

Algorithm

intervals

Results

15.2s	4797×	body	1280	valid
3.3s	1914×	body	640	valid
792.0ms	542×	body	320	valid
180.0ms	572×	body	80	valid
162.0ms	177×	body	160	valid
1.0ms	1×	body	640	nan