Details

sample786.0ms

Algorithm

intervals

Results

587.0ms	153×	body	1280	valid
125.0ms	58×	body	640	valid
22.0ms	19×	body	320	valid
8.0ms	20×	body	80	valid
5.0ms	6×	body	160	valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	2005
7	2005
6	829
5	453
4	319
3	192
2	102
1	58
0	26

prune45.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 23.8b

localize126.0ms

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))

rewrite27.0ms

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:

6.0ms	(sin (/ (- lambda1 lambda2) 2))
7.0ms	(sin (/ (- lambda1 lambda2) 2))
6.0ms	(sin (/ (- lambda1 lambda2) 2))
7.0ms	(sin (/ (- lambda1 lambda2) 2))

series154.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(sin (/ (- lambda1 lambda2) 2))
37.0ms	(sin (/ (- lambda1 lambda2) 2))
42.0ms	(sin (/ (- lambda1 lambda2) 2))
45.0ms	(sin (/ (- lambda1 lambda2) 2))

simplify1.7s

Counts

48 → 48

Iterations

Iter	Nodes
done	2000
7	2000
6	1996
5	648
4	303
3	169
2	91
1	55
0	33

prune1.3s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 23.3b

localize132.0ms

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))))

rewrite104.0ms

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:

12.0ms	(sin (/ (- lambda1 lambda2) 2))
13.0ms	(sin (/ (- lambda1 lambda2) 2))
15.0ms	(sin (/ (- lambda1 lambda2) 2))
63.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

series168.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(sin (/ (- lambda1 lambda2) 2))
32.0ms	(sin (/ (- lambda1 lambda2) 2))
46.0ms	(sin (/ (- lambda1 lambda2) 2))
48.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

simplify1.2s

Counts

51 → 51

Iterations

Iter	Nodes
done	2027
6	2027
5	962
4	491
3	265
2	133
1	80
0	51

prune1.8s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 23.3b

localize190.0ms

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))))

rewrite34.0ms

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:

12.0ms	(sin (/ (- lambda1 lambda2) 2))
7.0ms	(sin (/ (- lambda1 lambda2) 2))
6.0ms	(sin (/ (- lambda1 lambda2) 2))
8.0ms	(cbrt (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))))

series282.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(sin (/ (- lambda1 lambda2) 2))
31.0ms	(sin (/ (- lambda1 lambda2) 2))
45.0ms	(sin (/ (- lambda1 lambda2) 2))
150.0ms	(cbrt (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))))

simplify1.1s

Counts

50 → 50

Iterations

Iter	Nodes
done	2000
4	2000
3	783
2	283
1	139
0	72

prune1.8s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 23.3b

localize141.0ms

Local error

Found 4 expressions with local error:

4.2b	(sin (/ (- lambda1 lambda2) 2))
4.2b	(sin (/ (- lambda1 lambda2) 2))
4.7b	(cbrt (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))))
7.3b	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

rewrite80.0ms

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`
2×	`cbrt-prod` `cbrt-div` `pow1/3` `div-sub` `sin-diff` `sin-mult`
1×	`pow3` `associate-*l/` `rem-cbrt-cube`

Counts

4 → 41

Calls

4 calls:

14.0ms	(sin (/ (- lambda1 lambda2) 2))
16.0ms	(sin (/ (- lambda1 lambda2) 2))
16.0ms	(cbrt (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))))
34.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

series262.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(sin (/ (- lambda1 lambda2) 2))
42.0ms	(sin (/ (- lambda1 lambda2) 2))
136.0ms	(cbrt (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))))
54.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

simplify1.0s

Counts

53 → 53

Iterations

Iter	Nodes
done	2000
4	2000
3	788
2	303
1	152
0	83

prune1.7s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 23.3b

regimes4.2s

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify15.0ms

Iterations

Iter	Nodes
done	47
1	47
0	37

end0.0ms

sample25.5s

Algorithm

intervals

Results

18.8s	4796×	body	1280	valid
5.0s	1926×	body	640	valid
760.0ms	513×	body	320	valid
231.0ms	571×	body	80	valid
217.0ms	197×	body	160	valid