Details

sample714.0ms

Algorithm

intervals

Results

489.0ms	144×	body	1280	valid
101.0ms	55×	body	640	valid
67.0ms	21×	body	320	valid
11.0ms	28×	body	80	valid
8.0ms	8×	body	160	valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
6	829
5	453
4	319
3	192
2	102
1	58
0	26

prune44.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 20.8b

localize141.0ms

Local error

Found 4 expressions with local error:

2.8b	(sin (/ (- lambda1 lambda2) 2))
2.8b	(sin (/ (- lambda1 lambda2) 2))
2.8b	(sin (/ (- lambda1 lambda2) 2))
2.8b	(sin (/ (- lambda1 lambda2) 2))

rewrite56.0ms

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:

14.0ms	(sin (/ (- lambda1 lambda2) 2))
14.0ms	(sin (/ (- lambda1 lambda2) 2))
14.0ms	(sin (/ (- lambda1 lambda2) 2))
13.0ms	(sin (/ (- lambda1 lambda2) 2))

series197.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(sin (/ (- lambda1 lambda2) 2))
50.0ms	(sin (/ (- lambda1 lambda2) 2))
55.0ms	(sin (/ (- lambda1 lambda2) 2))
53.0ms	(sin (/ (- lambda1 lambda2) 2))

simplify1.6s

Counts

48 → 48

Iterations

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

prune804.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 20.3b

localize114.0ms

Local error

Found 4 expressions with local error:

2.8b	(sin (/ (- lambda1 lambda2) 2))
2.8b	(sin (/ (- lambda1 lambda2) 2))
2.8b	(sin (/ (- lambda1 lambda2) 2))
3.7b	(log (exp (sin (/ (- lambda1 lambda2) 2))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

7.0ms	(sin (/ (- lambda1 lambda2) 2))
14.0ms	(sin (/ (- lambda1 lambda2) 2))
9.0ms	(sin (/ (- lambda1 lambda2) 2))
18.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2))))

series140.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sin (/ (- lambda1 lambda2) 2))
36.0ms	(sin (/ (- lambda1 lambda2) 2))
31.0ms	(sin (/ (- lambda1 lambda2) 2))
37.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2))))

simplify900.0ms

Counts

56 → 56

Iterations

Iter	Nodes
done	2000
5	971
4	450
3	250
2	145
1	94
0	60

prune1.1s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 20.3b

localize156.0ms

Local error

Found 4 expressions with local error:

2.8b	(sin (/ (- lambda1 lambda2) 2))
2.8b	(sin (/ (- lambda1 lambda2) 2))
3.7b	(log (exp (sin (/ (- lambda1 lambda2) 2))))
3.7b	(log (exp (sin (/ (- lambda1 lambda2) 2))))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `*-un-lft-identity` `log-pow` `add-cube-cbrt`
6×	`pow1` `log-prod` `exp-prod`
4×	`add-cbrt-cube` `div-sub` `add-exp-log` `sin-diff` `insert-posit16` `add-log-exp`
2×	`log-div` `exp-diff` `rem-log-exp`

Counts

4 → 52

Calls

4 calls:

13.0ms	(sin (/ (- lambda1 lambda2) 2))
14.0ms	(sin (/ (- lambda1 lambda2) 2))
45.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2))))
38.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2))))

series168.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(sin (/ (- lambda1 lambda2) 2))
44.0ms	(sin (/ (- lambda1 lambda2) 2))
53.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2))))
37.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2))))

simplify810.0ms

Counts

64 → 64

Iterations

Iter	Nodes
done	2000
5	971
4	450
3	250
2	145
1	94
0	60

prune1.1s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 20.3b

localize150.0ms

Local error

Found 4 expressions with local error:

2.8b	(sin (/ (- lambda1 lambda2) 2))
3.7b	(log (exp (sin (/ (- lambda1 lambda2) 2))))
4.1b	(log (sqrt (exp (sin (/ (- lambda1 lambda2) 2)))))
4.1b	(log (sqrt (exp (sin (/ (- lambda1 lambda2) 2)))))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

16×	`log-pow`
15×	`log-prod`
12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`pow1` `exp-prod`
8×	`sqrt-pow1`
6×	`add-exp-log` `sqrt-prod`
4×	`add-cbrt-cube` `div-sub` `sin-diff` `insert-posit16` `add-log-exp`
3×	`log-div` `exp-diff` `rem-log-exp`
2×	`pow1/2` `sqrt-div`

Counts

4 → 70

Calls

4 calls:

7.0ms	(sin (/ (- lambda1 lambda2) 2))
29.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2))))
44.0ms	(log (sqrt (exp (sin (/ (- lambda1 lambda2) 2)))))
40.0ms	(log (sqrt (exp (sin (/ (- lambda1 lambda2) 2)))))

series344.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(sin (/ (- lambda1 lambda2) 2))
36.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2))))
149.0ms	(log (sqrt (exp (sin (/ (- lambda1 lambda2) 2)))))
120.0ms	(log (sqrt (exp (sin (/ (- lambda1 lambda2) 2)))))

simplify1.1s

Counts

82 → 82

Iterations

Iter	Nodes
done	2001
5	1484
4	665
3	377
2	213
1	141
0	94

prune1.2s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 20.2b

regimes4.7s

Accuracy

0% (0.6b remaining)

Error of 23.9b against oracle of 23.3b and baseline of 23.9b

bsearch0.0ms

simplify32.0ms

Iterations

Iter	Nodes
done	62
1	62
0	50

end0.0ms

sample23.0s

Algorithm

intervals

Results

16.6s	4705×	body	1280	valid
4.7s	1938×	body	640	valid
881.0ms	563×	body	320	valid
250.0ms	585×	body	80	valid
170.0ms	211×	body	160	valid
2.0ms	2×	body	160	nan