Details

sample623.0ms

Algorithm

intervals

Results

438.0ms	157×	body	1280	valid
102.0ms	61×	body	640	valid
23.0ms	20×	body	320	valid
4.0ms	14×	body	80	valid
2.0ms	4×	body	160	valid

simplify8.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	65
1	56	65
2	96	65
3	177	65
4	303	65
5	522	65
6	1279	65
7	4457	65
done	5000	65

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.6b

localize94.0ms

Local error

Found 4 expressions with local error:

3.8b	(sin (/ (- lambda1 lambda2) 2.0))
3.8b	(sin (/ (- lambda1 lambda2) 2.0))
3.8b	(sin (/ (- lambda1 lambda2) 2.0))
3.8b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite90.0ms

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:

23.0ms	(sin (/ (- lambda1 lambda2) 2.0))
22.0ms	(sin (/ (- lambda1 lambda2) 2.0))
23.0ms	(sin (/ (- lambda1 lambda2) 2.0))
22.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series225.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(sin (/ (- lambda1 lambda2) 2.0))
71.0ms	(sin (/ (- lambda1 lambda2) 2.0))
58.0ms	(sin (/ (- lambda1 lambda2) 2.0))
46.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify6.3s

Counts

44 → 44

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	32	452
1	55	452
2	90	396
3	168	396
4	306	396
5	742	396
6	2431	396
done	5000	396

prune650.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 24.1b

localize93.0ms

Local error

Found 4 expressions with local error:

3.8b	(sin (/ (- lambda1 lambda2) 2.0))
3.8b	(sin (/ (- lambda1 lambda2) 2.0))
3.8b	(sin (/ (- lambda1 lambda2) 2.0))
6.4b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

rewrite81.0ms

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:

21.0ms	(sin (/ (- lambda1 lambda2) 2.0))
26.0ms	(sin (/ (- lambda1 lambda2) 2.0))
12.0ms	(sin (/ (- lambda1 lambda2) 2.0))
19.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

series195.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(sin (/ (- lambda1 lambda2) 2.0))
48.0ms	(sin (/ (- lambda1 lambda2) 2.0))
51.0ms	(sin (/ (- lambda1 lambda2) 2.0))
51.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify2.6s

Counts

57 → 57

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	59	711
1	106	574
2	221	530
3	543	530
4	2187	530
done	5000	521

prune651.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 24.1b

localize81.0ms

Local error

Found 4 expressions with local error:

3.8b	(sin (/ (- lambda1 lambda2) 2.0))
3.8b	(sin (/ (- lambda1 lambda2) 2.0))
3.8b	(sin (/ (- lambda1 lambda2) 2.0))
6.4b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

rewrite74.0ms

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:

15.0ms	(sin (/ (- lambda1 lambda2) 2.0))
27.0ms	(sin (/ (- lambda1 lambda2) 2.0))
12.0ms	(sin (/ (- lambda1 lambda2) 2.0))
19.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

series225.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(sin (/ (- lambda1 lambda2) 2.0))
57.0ms	(sin (/ (- lambda1 lambda2) 2.0))
59.0ms	(sin (/ (- lambda1 lambda2) 2.0))
42.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify2.5s

Counts

57 → 57

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	59	711
1	106	574
2	221	530
3	543	530
4	2187	530
done	5000	521

prune681.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 24.1b

localize102.0ms

Local error

Found 4 expressions with local error:

3.8b	(sin (/ (- lambda1 lambda2) 2.0))
3.8b	(sin (/ (- lambda1 lambda2) 2.0))
3.8b	(sin (/ (- lambda1 lambda2) 2.0))
3.8b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite88.0ms

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:

22.0ms	(sin (/ (- lambda1 lambda2) 2.0))
21.0ms	(sin (/ (- lambda1 lambda2) 2.0))
21.0ms	(sin (/ (- lambda1 lambda2) 2.0))
22.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series259.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(sin (/ (- lambda1 lambda2) 2.0))
67.0ms	(sin (/ (- lambda1 lambda2) 2.0))
44.0ms	(sin (/ (- lambda1 lambda2) 2.0))
73.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify6.0s

Counts

44 → 44

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	32	452
1	55	452
2	90	396
3	168	396
4	306	396
5	742	396
6	2431	396
done	5000	396

prune460.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 24.1b

regimes1.3s

Accuracy

0% (0.6b remaining)

Error of 24.0b against oracle of 23.4b and baseline of 24.0b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	79
1	46	79
done	46	79

end0.0ms

sample18.2s

Algorithm

intervals

Results

12.9s	4714×	body	1280	valid
3.8s	1938×	body	640	valid
463.0ms	558×	body	320	valid
167.0ms	573×	body	80	valid
162.0ms	218×	body	160	valid