Details

sample1.2s

Algorithm

intervals

Results

877.0ms	143×	body	1280	valid
222.0ms	73×	body	640	valid
18.0ms	12×	body	320	valid
9.0ms	22×	body	80	valid
5.0ms	6×	body	160	valid

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
7	3351
6	1061
5	561
4	344
3	180
2	105
1	56
0	26

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 24.3b

localize81.0ms

Local error

Found 4 expressions with local error:

3.6b	(sin (/ (- lambda1 lambda2) 2))
3.6b	(sin (/ (- lambda1 lambda2) 2))
3.8b	(sin (/ (- phi1 phi2) 2))
3.8b	(sin (/ (- phi1 phi2) 2))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `div-sub` `add-exp-log` `sin-diff` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

10.0ms	(sin (/ (- lambda1 lambda2) 2))
7.0ms	(sin (/ (- lambda1 lambda2) 2))
12.0ms	(sin (/ (- phi1 phi2) 2))
14.0ms	(sin (/ (- phi1 phi2) 2))

series168.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(sin (/ (- lambda1 lambda2) 2))
45.0ms	(sin (/ (- lambda1 lambda2) 2))
36.0ms	(sin (/ (- phi1 phi2) 2))
38.0ms	(sin (/ (- phi1 phi2) 2))

simplify3.1s

Counts

56 → 56

Iterations

Iter	Nodes
6	4493
5	1689
4	785
3	363
2	195
1	112
0	66

prune1.7s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 23.2b

localize161.0ms

Local error

Found 4 expressions with local error:

3.6b	(sin (/ (- lambda1 lambda2) 2))
3.6b	(sin (/ (- lambda1 lambda2) 2))
3.6b	(sin (/ (- lambda1 lambda2) 2))
3.8b	(sin (/ (- phi1 phi2) 2))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `div-sub` `add-exp-log` `sin-diff` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

7.0ms	(sin (/ (- lambda1 lambda2) 2))
7.0ms	(sin (/ (- lambda1 lambda2) 2))
7.0ms	(sin (/ (- lambda1 lambda2) 2))
7.0ms	(sin (/ (- phi1 phi2) 2))

series182.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(sin (/ (- lambda1 lambda2) 2))
51.0ms	(sin (/ (- lambda1 lambda2) 2))
40.0ms	(sin (/ (- lambda1 lambda2) 2))
41.0ms	(sin (/ (- phi1 phi2) 2))

simplify2.8s

Counts

56 → 56

Iterations

Iter	Nodes
6	4493
5	1689
4	785
3	363
2	195
1	112
0	66

prune2.4s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 13.8b

localize106.0ms

Local error

Found 4 expressions with local error:

3.6b	(sin (/ (- lambda1 lambda2) 2))
3.6b	(sin (/ (- lambda1 lambda2) 2))
3.6b	(sin (/ (- lambda1 lambda2) 2))
3.6b	(sin (/ (- lambda1 lambda2) 2))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `div-sub` `add-exp-log` `sin-diff` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

16.0ms	(sin (/ (- lambda1 lambda2) 2))
12.0ms	(sin (/ (- lambda1 lambda2) 2))
7.0ms	(sin (/ (- lambda1 lambda2) 2))
7.0ms	(sin (/ (- lambda1 lambda2) 2))

series189.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(sin (/ (- lambda1 lambda2) 2))
50.0ms	(sin (/ (- lambda1 lambda2) 2))
44.0ms	(sin (/ (- lambda1 lambda2) 2))
46.0ms	(sin (/ (- lambda1 lambda2) 2))

simplify1.5s

Counts

56 → 56

Iterations

Iter	Nodes
6	2350
5	868
4	402
3	191
2	101
1	59
0	35

prune2.2s

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 13.7b

localize162.0ms

Local error

Found 4 expressions with local error:

3.6b	(sin (/ (- lambda1 lambda2) 2))
3.6b	(sin (/ (- lambda1 lambda2) 2))
3.6b	(sin (/ (- lambda1 lambda2) 2))
3.6b	(sin (/ (- lambda1 lambda2) 2))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `div-sub` `add-exp-log` `sin-diff` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

14.0ms	(sin (/ (- lambda1 lambda2) 2))
15.0ms	(sin (/ (- lambda1 lambda2) 2))
19.0ms	(sin (/ (- lambda1 lambda2) 2))
7.0ms	(sin (/ (- lambda1 lambda2) 2))

series186.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(sin (/ (- lambda1 lambda2) 2))
54.0ms	(sin (/ (- lambda1 lambda2) 2))
49.0ms	(sin (/ (- lambda1 lambda2) 2))
32.0ms	(sin (/ (- lambda1 lambda2) 2))

simplify1.6s

Counts

56 → 56

Iterations

Iter	Nodes
6	2350
5	868
4	402
3	191
2	101
1	59
0	35

prune1.9s

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 13.7b

regimes4.2s

Accuracy

0% (0.5b remaining)

Error of 14.0b against oracle of 13.6b and baseline of 14.0b

bsearch0.0ms

simplify20.0ms

Iterations

Iter	Nodes
2	50
1	50
0	39

end0.0ms

sample27.8s

Algorithm

intervals

Results

19.8s	4753×	body	1280	valid
5.7s	1934×	body	640	valid
1.1s	556×	body	320	valid
422.0ms	587×	body	80	valid
200.0ms	172×	body	160	valid