Details

sample255.0ms

Algorithm

intervals

Results

164.0ms	145×	body	1280	valid
50.0ms	63×	body	640	valid
10.0ms	19×	body	320	valid
4.0ms	13×	body	160	valid
2.0ms	16×	body	80	valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	65
1	56	65
2	96	65
3	170	65
4	314	65
5	557	65
6	1739	65
done	5000	65

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.3b

localize33.0ms

Local error

Found 4 expressions with local error:

3.0b	(sin (/ (- lambda1 lambda2) 2.0))
3.0b	(sin (/ (- lambda1 lambda2) 2.0))
3.0b	(sin (/ (- lambda1 lambda2) 2.0))
3.0b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite23.0ms

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:

5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
7.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series145.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify3.8s

Counts

44 → 44

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	32	452
1	55	452
2	90	396
3	175	396
4	365	396
5	1060	396
6	3881	396
done	5000	396

prune377.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 20.9b

localize42.0ms

Local error

Found 4 expressions with local error:

3.0b	(sin (/ (- lambda1 lambda2) 2.0))
3.0b	(sin (/ (- lambda1 lambda2) 2.0))
3.0b	(sin (/ (- lambda1 lambda2) 2.0))
3.0b	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
4×	`add-exp-log` `div-sub` `log-pow` `sin-diff` `add-cbrt-cube` `add-log-exp`
3×	`log-prod` `exp-prod`
1×	`log-div` `exp-diff` `rem-log-exp`

Counts

4 → 40

Calls

4 calls:

5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
16.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

series150.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(sin (/ (- lambda1 lambda2) 2.0))
35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
38.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

simplify896.0ms

Counts

52 → 52

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	58	568
1	92	533
2	151	470
3	285	470
4	580	470
5	1691	470
done	5001	470

prune456.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 20.9b

localize44.0ms

Local error

Found 4 expressions with local error:

3.0b	(sin (/ (- lambda1 lambda2) 2.0))
3.0b	(sin (/ (- lambda1 lambda2) 2.0))
3.0b	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))
3.0b	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `log-pow`
6×	`pow1` `log-prod` `exp-prod`
4×	`add-exp-log` `div-sub` `sin-diff` `add-cbrt-cube` `add-log-exp`
2×	`log-div` `exp-diff` `rem-log-exp`

Counts

4 → 48

Calls

4 calls:

5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
15.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))
15.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

series156.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
42.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))
41.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

simplify903.0ms

Counts

60 → 60

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	58	684
1	92	614
2	151	544
3	285	544
4	580	544
5	1691	544
done	5001	544

prune551.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 20.9b

localize46.0ms

Local error

Found 4 expressions with local error:

3.0b	(sin (/ (- lambda1 lambda2) 2.0))
3.0b	(sin (/ (- lambda1 lambda2) 2.0))
3.0b	(log (exp (cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))))
5.8b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
24.0ms	(log (exp (cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))))
6.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

series153.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sin (/ (- lambda1 lambda2) 2.0))
40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(log (exp (cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))))
42.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify2.5s

Counts

76 → 76

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	98	1017
1	157	735
2	321	664
3	753	664
4	2908	664
done	5000	664

prune457.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 20.8b

regimes1.4s

Accuracy

0% (0.5b remaining)

Error of 24.3b against oracle of 23.8b and baseline of 24.3b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	78
1	40	78
done	40	78

end0.0ms

sample7.7s

Algorithm

intervals

Results

5.5s	4663×	body	1280	valid
1.4s	1959×	body	640	valid
272.0ms	566×	body	320	valid
79.0ms	604×	body	80	valid
66.0ms	211×	body	160	valid
1.0ms	2×	body	640	nan