Details

sample548.0ms

Algorithm

intervals

Results

416.0ms	166×	body	1280	valid
69.0ms	54×	body	640	valid
15.0ms	18×	body	320	valid
5.0ms	6×	body	160	valid
3.0ms	12×	body	80	valid

simplify5.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	4817
6	1329
5	606
4	349
3	176
2	99
1	56
0	26

prune46.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 28.9b

localize129.0ms

Local error

Found 4 expressions with local error:

4.6b	(sin (/ (- lambda1 lambda2) 2.0))
4.6b	(sin (/ (- lambda1 lambda2) 2.0))
4.6b	(sin (/ (- lambda1 lambda2) 2.0))
4.6b	(sin (/ (- lambda1 lambda2) 2.0))

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` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

16.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series252.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(sin (/ (- lambda1 lambda2) 2.0))
65.0ms	(sin (/ (- lambda1 lambda2) 2.0))
51.0ms	(sin (/ (- lambda1 lambda2) 2.0))
68.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify3.9s

Counts

52 → 52

Iterations

Iter	Nodes
done	5001
6	2180
5	819
4	387
3	187
2	101
1	59
0	34

prune1.0s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 28.1b

localize171.0ms

Local error

Found 4 expressions with local error:

4.6b	(sin (/ (- lambda1 lambda2) 2.0))
4.6b	(sin (/ (- lambda1 lambda2) 2.0))
4.6b	(sin (/ (- lambda1 lambda2) 2.0))
6.7b	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (sin (/ (- lambda1 lambda2) 2.0))) (sin (/ (- lambda1 lambda2) 2.0))))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `log1p-expm1-u` `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 → 43

Calls

4 calls:

12.0ms	(sin (/ (- lambda1 lambda2) 2.0))
9.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
62.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (sin (/ (- lambda1 lambda2) 2.0))) (sin (/ (- lambda1 lambda2) 2.0))))

series247.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(sin (/ (- lambda1 lambda2) 2.0))
67.0ms	(sin (/ (- lambda1 lambda2) 2.0))
54.0ms	(sin (/ (- lambda1 lambda2) 2.0))
62.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (sin (/ (- lambda1 lambda2) 2.0))) (sin (/ (- lambda1 lambda2) 2.0))))

simplify3.7s

Counts

55 → 55

Iterations

Iter	Nodes
done	5001
6	2512
5	1111
4	585
3	281
2	144
1	85
0	54

prune1.1s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 28.1b

localize216.0ms

Local error

Found 4 expressions with local error:

4.6b	(sin (/ (- lambda1 lambda2) 2.0))
4.6b	(sin (/ (- lambda1 lambda2) 2.0))
4.6b	(sin (/ (- lambda1 lambda2) 2.0))
6.7b	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (sin (/ (- lambda1 lambda2) 2.0))) (log1p (expm1 (sin (/ (- lambda1 lambda2) 2.0))))))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `log1p-expm1-u` `add-log-exp`
3×	`div-sub` `sin-diff`
1×	`cbrt-prod` `cbrt-div` `pow1/3` `associate-*l/` `sin-mult`

Counts

4 → 42

Calls

4 calls:

8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
9.0ms	(sin (/ (- lambda1 lambda2) 2.0))
40.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (sin (/ (- lambda1 lambda2) 2.0))) (log1p (expm1 (sin (/ (- lambda1 lambda2) 2.0))))))

series377.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(sin (/ (- lambda1 lambda2) 2.0))
48.0ms	(sin (/ (- lambda1 lambda2) 2.0))
39.0ms	(sin (/ (- lambda1 lambda2) 2.0))
245.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (sin (/ (- lambda1 lambda2) 2.0))) (log1p (expm1 (sin (/ (- lambda1 lambda2) 2.0))))))

simplify2.4s

Counts

54 → 54

Iterations

Iter	Nodes
done	5000
4	1849
3	713
2	294
1	144
0	73

prune1.2s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 28.0b

localize130.0ms

Local error

Found 4 expressions with local error:

4.6b	(sin (/ (- lambda1 lambda2) 2.0))
4.6b	(sin (/ (- lambda1 lambda2) 2.0))
4.6b	(sin (/ (- lambda1 lambda2) 2.0))
4.6b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite45.0ms

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` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

15.0ms	(sin (/ (- lambda1 lambda2) 2.0))
12.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series248.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(sin (/ (- lambda1 lambda2) 2.0))
45.0ms	(sin (/ (- lambda1 lambda2) 2.0))
66.0ms	(sin (/ (- lambda1 lambda2) 2.0))
70.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify3.7s

Counts

52 → 52

Iterations

Iter	Nodes
done	5001
6	2180
5	819
4	387
3	187
2	101
1	59
0	34

prune850.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 28.0b

regimes2.2s

Accuracy

0% (0.7b remaining)

Error of 24.8b against oracle of 24.1b and baseline of 24.8b

bsearch0.0ms

simplify17.0ms

Iterations

Iter	Nodes
done	47
1	47
0	37

end0.0ms

sample18.8s

Algorithm

intervals

Results

12.7s	4696×	body	1280	valid
4.1s	1983×	body	640	valid
794.0ms	546×	body	320	valid
597.0ms	194×	body	160	valid
208.0ms	585×	body	80	valid