Details

sample802.0ms

Algorithm

intervals

Results

569.0ms	153×	body	1280	valid
127.0ms	58×	body	640	valid
55.0ms	19×	body	320	valid
9.0ms	20×	body	80	valid
6.0ms	6×	body	160	valid

simplify1.8s

Counts

1 → 1

Iterations

Iter	Nodes
7	2745
6	876
5	433
4	291
3	175
2	100
1	56
0	26

prune33.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 23.8b

localize125.0ms

Local error

Found 4 expressions with local error:

4.2b	(sin (/ (- lambda1 lambda2) 2))
4.2b	(sin (/ (- lambda1 lambda2) 2))
4.2b	(sin (/ (- lambda1 lambda2) 2))
4.2b	(sin (/ (- lambda1 lambda2) 2))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `div-sub` `add-exp-log` `sin-diff` `add-cube-cbrt` `insert-posit16` `add-log-exp`

Counts

4 → 36

Calls

4 calls:

20.0ms	(sin (/ (- lambda1 lambda2) 2))
15.0ms	(sin (/ (- lambda1 lambda2) 2))
14.0ms	(sin (/ (- lambda1 lambda2) 2))
15.0ms	(sin (/ (- lambda1 lambda2) 2))

series186.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sin (/ (- lambda1 lambda2) 2))
39.0ms	(sin (/ (- lambda1 lambda2) 2))
57.0ms	(sin (/ (- lambda1 lambda2) 2))
54.0ms	(sin (/ (- lambda1 lambda2) 2))

simplify1.2s

Counts

48 → 48

Iterations

Iter	Nodes
6	2028
5	669
4	312
3	172
2	91
1	55
0	33

prune1.5s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 23.3b

localize194.0ms

Local error

Found 4 expressions with local error:

4.2b	(sin (/ (- lambda1 lambda2) 2))
4.2b	(sin (/ (- lambda1 lambda2) 2))
4.2b	(sin (/ (- lambda1 lambda2) 2))
7.3b	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `add-log-exp`
3×	`div-sub` `sin-diff`
1×	`cbrt-prod` `cbrt-div` `pow1/3` `pow3` `associate-*l/` `rem-cbrt-cube` `sin-mult`

Counts

4 → 39

Calls

4 calls:

8.0ms	(sin (/ (- lambda1 lambda2) 2))
7.0ms	(sin (/ (- lambda1 lambda2) 2))
13.0ms	(sin (/ (- lambda1 lambda2) 2))
81.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

series196.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(sin (/ (- lambda1 lambda2) 2))
49.0ms	(sin (/ (- lambda1 lambda2) 2))
50.0ms	(sin (/ (- lambda1 lambda2) 2))
44.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

simplify1.5s

Counts

51 → 51

Iterations

Iter	Nodes
6	2535
5	1021
4	501
3	265
2	132
1	80
0	51

prune1.6s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 23.3b

localize175.0ms

Local error

Found 4 expressions with local error:

4.2b	(sin (/ (- lambda1 lambda2) 2))
4.2b	(sin (/ (- lambda1 lambda2) 2))
4.2b	(sin (/ (- lambda1 lambda2) 2))
4.7b	(cbrt (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `add-log-exp`
3×	`div-sub` `sin-diff`
1×	`cbrt-prod` `cbrt-div` `pow1/3` `sin-mult`

Counts

4 → 38

Calls

4 calls:

13.0ms	(sin (/ (- lambda1 lambda2) 2))
14.0ms	(sin (/ (- lambda1 lambda2) 2))
24.0ms	(sin (/ (- lambda1 lambda2) 2))
19.0ms	(cbrt (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))))

series256.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(sin (/ (- lambda1 lambda2) 2))
32.0ms	(sin (/ (- lambda1 lambda2) 2))
37.0ms	(sin (/ (- lambda1 lambda2) 2))
138.0ms	(cbrt (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))))

simplify2.6s

Counts

50 → 50

Iterations

Iter	Nodes
5	4665
4	1439
3	608
2	275
1	139
0	72

prune1.9s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 23.3b

localize178.0ms

Local error

Found 4 expressions with local error:

4.2b	(sin (/ (- lambda1 lambda2) 2))
4.2b	(sin (/ (- lambda1 lambda2) 2))
4.2b	(sin (/ (- lambda1 lambda2) 2))
5.1b	(pow (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) 1/3)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1`
7×	`add-exp-log`
6×	`pow-pow`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
3×	`pow-unpow` `div-sub` `sin-diff`
2×	`pow-exp`
1×	`pow2` `pow-to-exp` `unpow-prod-down` `pow-plus` `unpow1/3` `pow-prod-down` `prod-exp` `pow-sqr` `pow-prod-up` `sqr-pow`

Counts

4 → 50

Calls

4 calls:

14.0ms	(sin (/ (- lambda1 lambda2) 2))
14.0ms	(sin (/ (- lambda1 lambda2) 2))
12.0ms	(sin (/ (- lambda1 lambda2) 2))
14.0ms	(pow (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) 1/3)

series335.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(sin (/ (- lambda1 lambda2) 2))
58.0ms	(sin (/ (- lambda1 lambda2) 2))
52.0ms	(sin (/ (- lambda1 lambda2) 2))
186.0ms	(pow (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) 1/3)

simplify1.4s

Counts

62 → 62

Iterations

Iter	Nodes
4	2296
3	922
2	392
1	177
0	85

prune2.1s

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 23.3b

regimes4.0s

Accuracy

0% (0.6b remaining)

Error of 24.0b against oracle of 23.5b and baseline of 24.0b

bsearch0.0ms

simplify22.0ms

Iterations

Iter	Nodes
2	43
1	43
0	34

end0.0ms

sample27.4s

Algorithm

intervals

Results

20.1s	4796×	body	1280	valid
5.4s	1926×	body	640	valid
800.0ms	513×	body	320	valid
345.0ms	571×	body	80	valid
219.0ms	197×	body	160	valid