Details

sample265.0ms

Algorithm

intervals

Results

179.0ms	152×	body	1280	valid
48.0ms	59×	body	640	valid
9.0ms	19×	body	320	valid
2.0ms	8×	body	160	valid
2.0ms	18×	body	80	valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	26	65
1	56	65
2	100	63
3	177	63
4	373	63
5	674	63
6	1728	63
done	5001	63

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 27.5b

localize33.0ms

Local error

Found 4 expressions with local error:

4.5b	(sin (/ (- lambda1 lambda2) 2.0))
4.5b	(sin (/ (- lambda1 lambda2) 2.0))
4.5b	(sin (/ (- lambda1 lambda2) 2.0))
4.5b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite23.0ms

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:

6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series152.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
41.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
40.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify3.3s

Counts

52 → 52

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	34	508
1	59	504
2	100	452
3	189	452
4	440	452
5	1117	452
6	3842	452
done	5000	452

prune456.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 26.9b

localize38.0ms

Local error

Found 4 expressions with local error:

4.5b	(sin (/ (- lambda1 lambda2) 2.0))
4.5b	(sin (/ (- lambda1 lambda2) 2.0))
4.5b	(sin (/ (- lambda1 lambda2) 2.0))
7.5b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

rewrite26.0ms

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:

6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

series146.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
38.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify1.0s

Counts

65 → 65

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	63	773
1	112	626
2	249	586
3	629	586
4	2189	586
done	5000	586

prune524.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 26.9b

localize44.0ms

Local error

Found 4 expressions with local error:

4.5b	(sin (/ (- lambda1 lambda2) 2.0))
4.5b	(sin (/ (- lambda1 lambda2) 2.0))
4.5b	(sin (/ (- lambda1 lambda2) 2.0))
7.5b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

rewrite26.0ms

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:

5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

series148.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify1.1s

Counts

65 → 65

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	63	773
1	112	626
2	249	586
3	629	586
4	2189	586
done	5000	586

prune616.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 26.9b

localize51.0ms

Local error

Found 4 expressions with local error:

4.5b	(sin (/ (- lambda1 lambda2) 2.0))
4.5b	(sin (/ (- lambda1 lambda2) 2.0))
4.5b	(sin (/ (- lambda1 lambda2) 2.0))
7.5b	(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` `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:

5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(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))
36.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify1.0s

Counts

65 → 65

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	63	773
1	112	626
2	249	586
3	629	586
4	2189	586
done	5000	586

prune511.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 26.9b

regimes2.0s

Accuracy

0% (0.6b remaining)

Error of 24.6b against oracle of 24.1b and baseline of 24.6b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	70
1	38	70
done	38	70

end0.0ms

sample7.8s

Algorithm

intervals

Results

5.7s	4759×	body	1280	valid
1.3s	1844×	body	640	valid
282.0ms	567×	body	320	valid
82.0ms	625×	body	80	valid
70.0ms	206×	body	160	valid