Details

sample813.0ms

Algorithm

intervals

Results

560.0ms	169×	body	1280	valid
148.0ms	44×	body	640	valid
27.0ms	17×	body	320	valid
7.0ms	21×	body	80	valid
5.0ms	5×	body	160	valid

simplify1.4s

Counts

1 → 1

Iterations

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

prune34.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 26.2b

localize150.0ms

Local error

Found 4 expressions with local error:

3.2b	(sin (/ (- lambda1 lambda2) 2))
3.2b	(sin (/ (- lambda1 lambda2) 2))
3.2b	(sin (/ (- lambda1 lambda2) 2))
3.2b	(sin (/ (- lambda1 lambda2) 2))

rewrite34.0ms

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))
7.0ms	(sin (/ (- lambda1 lambda2) 2))
14.0ms	(sin (/ (- lambda1 lambda2) 2))

series172.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sin (/ (- lambda1 lambda2) 2))
33.0ms	(sin (/ (- lambda1 lambda2) 2))
57.0ms	(sin (/ (- lambda1 lambda2) 2))
46.0ms	(sin (/ (- lambda1 lambda2) 2))

simplify2.0s

Counts

48 → 48

Iterations

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

prune1.5s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 25.8b

localize161.0ms

Local error

Found 4 expressions with local error:

3.2b	(sin (/ (- lambda1 lambda2) 2))
3.2b	(sin (/ (- lambda1 lambda2) 2))
3.2b	(sin (/ (- lambda1 lambda2) 2))
7.0b	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

rewrite82.0ms

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:

13.0ms	(sin (/ (- lambda1 lambda2) 2))
9.0ms	(sin (/ (- lambda1 lambda2) 2))
7.0ms	(sin (/ (- lambda1 lambda2) 2))
53.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

series152.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sin (/ (- lambda1 lambda2) 2))
41.0ms	(sin (/ (- lambda1 lambda2) 2))
40.0ms	(sin (/ (- lambda1 lambda2) 2))
35.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

simplify1.3s

Counts

51 → 51

Iterations

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

prune1.6s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 25.8b

localize127.0ms

Local error

Found 4 expressions with local error:

3.2b	(sin (/ (- lambda1 lambda2) 2))
3.2b	(sin (/ (- lambda1 lambda2) 2))
3.2b	(sin (/ (- lambda1 lambda2) 2))
7.0b	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

rewrite69.0ms

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:

6.0ms	(sin (/ (- lambda1 lambda2) 2))
6.0ms	(sin (/ (- lambda1 lambda2) 2))
6.0ms	(sin (/ (- lambda1 lambda2) 2))
49.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

series137.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(sin (/ (- lambda1 lambda2) 2))
32.0ms	(sin (/ (- lambda1 lambda2) 2))
43.0ms	(sin (/ (- lambda1 lambda2) 2))
32.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (sin (/ (- lambda1 lambda2) 2))) (sin (/ (- lambda1 lambda2) 2))))

simplify1.3s

Counts

51 → 51

Iterations

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

prune1.6s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 25.8b

localize155.0ms

Local error

Found 4 expressions with local error:

3.2b	(sin (/ (- lambda1 lambda2) 2))
3.2b	(sin (/ (- lambda1 lambda2) 2))
3.2b	(sin (/ (- lambda1 lambda2) 2))
7.0b	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (* (* (cbrt (sin (/ (- lambda1 lambda2) 2))) (cbrt (sin (/ (- lambda1 lambda2) 2)))) (cbrt (sin (/ (- lambda1 lambda2) 2))))) (sin (/ (- lambda1 lambda2) 2))))

rewrite647.0ms

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` `pow1/3`

Counts

4 → 37

Calls

4 calls:

6.0ms	(sin (/ (- lambda1 lambda2) 2))
6.0ms	(sin (/ (- lambda1 lambda2) 2))
7.0ms	(sin (/ (- lambda1 lambda2) 2))
627.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (* (* (cbrt (sin (/ (- lambda1 lambda2) 2))) (cbrt (sin (/ (- lambda1 lambda2) 2)))) (cbrt (sin (/ (- lambda1 lambda2) 2))))) (sin (/ (- lambda1 lambda2) 2))))

series139.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sin (/ (- lambda1 lambda2) 2))
34.0ms	(sin (/ (- lambda1 lambda2) 2))
30.0ms	(sin (/ (- lambda1 lambda2) 2))
39.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2)) (* (* (cbrt (sin (/ (- lambda1 lambda2) 2))) (cbrt (sin (/ (- lambda1 lambda2) 2)))) (cbrt (sin (/ (- lambda1 lambda2) 2))))) (sin (/ (- lambda1 lambda2) 2))))

simplify1.1s

Counts

49 → 49

Iterations

Iter	Nodes
done	2039
6	2039
5	801
4	408
3	229
2	125
1	75
0	46

prune1.8s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 25.8b

regimes4.4s

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify17.0ms

Iterations

Iter	Nodes
done	40
1	40
0	32

end0.0ms

sample25.3s

Algorithm

intervals

Results

17.9s	4725×	body	1280	valid
5.7s	1934×	body	640	valid
764.0ms	546×	body	320	valid
300.0ms	189×	body	160	valid
266.0ms	608×	body	80	valid