Details

sample761.0ms

Algorithm

intervals

Results

558.0ms	150×	body	1280	valid
115.0ms	59×	body	640	valid
33.0ms	19×	body	320	valid
9.0ms	24×	body	80	valid
4.0ms	4×	body	160	valid

simplify3.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
7	2160
6	829
5	453
4	319
3	192
2	102
1	58
0	26

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 22.6b

localize108.0ms

Local error

Found 4 expressions with local error:

3.5b	(sin (/ (- lambda1 lambda2) 2))
3.5b	(sin (/ (- lambda1 lambda2) 2))
3.5b	(sin (/ (- lambda1 lambda2) 2))
3.5b	(sin (/ (- lambda1 lambda2) 2))

rewrite144.0ms

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:

29.0ms	(sin (/ (- lambda1 lambda2) 2))
36.0ms	(sin (/ (- lambda1 lambda2) 2))
42.0ms	(sin (/ (- lambda1 lambda2) 2))
36.0ms	(sin (/ (- lambda1 lambda2) 2))

series144.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(sin (/ (- lambda1 lambda2) 2))
34.0ms	(sin (/ (- lambda1 lambda2) 2))
41.0ms	(sin (/ (- lambda1 lambda2) 2))
35.0ms	(sin (/ (- lambda1 lambda2) 2))

simplify3.2s

Counts

48 → 48

Iterations

Iter	Nodes
done	5000
6	1996
5	648
4	303
3	169
2	91
1	55
0	33

prune832.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 22.3b

localize106.0ms

Local error

Found 4 expressions with local error:

3.5b	(sin (/ (- lambda1 lambda2) 2))
3.5b	(sin (/ (- lambda1 lambda2) 2))
3.5b	(sin (/ (- lambda1 lambda2) 2))
3.5b	(sin (/ (- lambda1 lambda2) 2))

rewrite193.0ms

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:

30.0ms	(sin (/ (- lambda1 lambda2) 2))
48.0ms	(sin (/ (- lambda1 lambda2) 2))
52.0ms	(sin (/ (- lambda1 lambda2) 2))
62.0ms	(sin (/ (- lambda1 lambda2) 2))

series170.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(sin (/ (- lambda1 lambda2) 2))
38.0ms	(sin (/ (- lambda1 lambda2) 2))
34.0ms	(sin (/ (- lambda1 lambda2) 2))
53.0ms	(sin (/ (- lambda1 lambda2) 2))

simplify3.2s

Counts

48 → 48

Iterations

Iter	Nodes
done	5000
6	1996
5	648
4	303
3	169
2	91
1	55
0	33

prune778.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 22.3b

localize125.0ms

Local error

Found 4 expressions with local error:

3.5b	(sin (/ (- lambda1 lambda2) 2))
3.5b	(sin (/ (- lambda1 lambda2) 2))
3.5b	(sin (/ (- lambda1 lambda2) 2))
8.2b	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

rewrite463.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`associate-l`
11×	`*-un-lft-identity` `add-cube-cbrt`
7×	`unswap-sqr`
6×	`associate-r`
4×	`pow1` `add-cbrt-cube` `swap-sqr` `add-exp-log` `*-commutative` `insert-posit16` `add-log-exp`
3×	`div-sub` `sin-diff`
2×	`pow3` `rem-cbrt-cube`
1×	`cbrt-div` `pow1/3` `associate-*l/` `sin-mult`

Counts

4 → 67

Calls

4 calls:

43.0ms	(sin (/ (- lambda1 lambda2) 2))
27.0ms	(sin (/ (- lambda1 lambda2) 2))
40.0ms	(sin (/ (- lambda1 lambda2) 2))
351.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

series150.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(sin (/ (- lambda1 lambda2) 2))
46.0ms	(sin (/ (- lambda1 lambda2) 2))
35.0ms	(sin (/ (- lambda1 lambda2) 2))
37.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

simplify3.5s

Counts

79 → 79

Iterations

Iter	Nodes
done	5000
6	4384
5	2434
4	1569
3	803
2	393
1	183
0	101

prune1.5s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 22.3b

localize149.0ms

Local error

Found 4 expressions with local error:

3.5b	(sin (/ (- lambda1 lambda2) 2))
3.5b	(sin (/ (- lambda1 lambda2) 2))
3.5b	(sin (/ (- lambda1 lambda2) 2))
6.2b	(cbrt (* (* (cbrt (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

rewrite568.0ms

Algorithm

rewrite-expression-head

Rules

32×	`cbrt-prod`
22×	`add-sqr-sqrt` `associate-l`
10×	`*-un-lft-identity` `add-cube-cbrt`
7×	`unswap-sqr`
6×	`associate-r`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`div-sub` `sin-diff`
2×	`*-commutative`
1×	`pow1/3`

Counts

4 → 63

Calls

4 calls:

32.0ms	(sin (/ (- lambda1 lambda2) 2))
44.0ms	(sin (/ (- lambda1 lambda2) 2))
53.0ms	(sin (/ (- lambda1 lambda2) 2))
436.0ms	(cbrt (* (* (cbrt (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

series299.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(sin (/ (- lambda1 lambda2) 2))
39.0ms	(sin (/ (- lambda1 lambda2) 2))
50.0ms	(sin (/ (- lambda1 lambda2) 2))
172.0ms	(cbrt (* (* (cbrt (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

simplify3.1s

Counts

75 → 75

Iterations

Iter	Nodes
done	5000
4	3755
3	1214
2	479
1	243
0	132

prune1.2s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 22.2b

regimes4.8s

Accuracy

0% (0.6b remaining)

Error of 23.7b against oracle of 23.1b and baseline of 23.7b

bsearch0.0ms

simplify21.0ms

Iterations

Iter	Nodes
done	41
1	41
0	32

end0.0ms

sample26.1s

Algorithm

intervals

Results

18.8s	4670×	body	1280	valid
5.0s	1927×	body	640	valid
1.4s	568×	body	320	valid
323.0ms	638×	body	80	valid
180.0ms	202×	body	160	valid
1.0ms	1×	body	640	nan
1.0ms	1×	body	160	nan