Details

sample273.0ms

Algorithm

intervals

Results

183.0ms	152×	body	1280	valid
50.0ms	59×	body	640	valid
10.0ms	19×	body	320	valid
3.0ms	8×	body	160	valid
2.0ms	18×	body	80	valid

simplify1.8s

Counts

1 → 1

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	26	65
1	56	65
2	100	63
3	178	63
4	378	63
5	715	63
6	2084	63
done	5000	63

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 27.5b

localize34.0ms

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))

rewrite26.0ms

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:

5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
9.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series152.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
42.0ms	(sin (/ (- lambda1 lambda2) 2.0))
38.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify4.0s

Counts

52 → 52

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	34	508
1	59	504
2	100	452
3	198	452
4	457	452
5	1232	452
6	4303	452
done	5000	452

prune479.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 26.9b

localize40.0ms

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:

9.0ms	(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))

series150.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
42.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify1.1s

Counts

65 → 65

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	63	773
1	119	626
2	279	586
3	680	586
4	2250	586
done	5000	586

prune544.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 26.9b

localize45.0ms

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))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

series150.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
41.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify1.1s

Counts

65 → 65

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	63	773
1	119	626
2	279	586
3	680	586
4	2250	586
done	5000	586

prune635.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 26.9b

localize48.0ms

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))

rewrite23.0ms

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))

series155.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
42.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
41.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify1.1s

Counts

65 → 65

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	63	773
1	119	626
2	279	586
3	680	586
4	2250	586
done	5000	586

prune548.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 26.9b

regimes2.1s

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

sample8.0s

Algorithm

intervals

Results

5.8s	4759×	body	1280	valid
1.4s	1844×	body	640	valid
295.0ms	567×	body	320	valid
89.0ms	625×	body	80	valid
67.0ms	206×	body	160	valid