Details

sample279.0ms

Algorithm

intervals

Results

204.0ms	166×	body	1280	valid
37.0ms	48×	body	640	valid
10.0ms	20×	body	320	valid
2.0ms	16×	body	80	valid
2.0ms	6×	body	160	valid

simplify77.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	56	38
1	98	38
2	182	38
3	309	38
4	609	38
5	2169	38
6	5001	38

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.3b

localize35.0ms

Local error

Found 4 expressions with local error:

4.2b	(sin (/ (- lambda1 lambda2) 2.0))
4.2b	(sin (/ (- lambda1 lambda2) 2.0))
4.2b	(sin (/ (- lambda1 lambda2) 2.0))
4.2b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 32

Calls

4 calls:

5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
9.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series153.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
42.0ms	(sin (/ (- lambda1 lambda2) 2.0))
39.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify200.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	54	248
1	89	216
2	188	216
3	373	216
4	1242	216
5	4970	216
6	5002	216

prune607.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 25.6b

localize42.0ms

Local error

Found 4 expressions with local error:

4.2b	(sin (/ (- lambda1 lambda2) 2.0))
4.2b	(sin (/ (- lambda1 lambda2) 2.0))
4.2b	(sin (/ (- lambda1 lambda2) 2.0))
5.7b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`unpow-prod-down` `div-sub` `cube-prod` `sin-diff`
1×	`cube-mult` `pow1/3` `unpow3` `rem-cbrt-cube` `sqr-pow`

Counts

4 → 45

Calls

4 calls:

5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

series156.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(sin (/ (- lambda1 lambda2) 2.0))
40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- lambda1 lambda2) 2.0))
42.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify89.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 4 (83.0ms)

Iter	Nodes	Cost
0	106	313
1	282	309
2	784	309
3	3070	309
4	5002	282

prune458.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 25.6b

localize46.0ms

Local error

Found 4 expressions with local error:

4.2b	(sin (/ (- lambda1 lambda2) 2.0))
4.2b	(sin (/ (- lambda1 lambda2) 2.0))
5.7b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))
5.7b	(cbrt (pow (cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3)) 3))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

72×	`cbrt-prod`
24×	`unpow-prod-down` `cube-prod`
16×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `cube-mult` `unpow3` `add-cbrt-cube` `add-log-exp` `sqr-pow`
2×	`pow1/3` `div-sub` `sin-diff` `rem-cbrt-cube`

Counts

4 → 82

Calls

4 calls:

5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))
15.0ms	(cbrt (pow (cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3)) 3))

series156.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(sin (/ (- lambda1 lambda2) 2.0))
39.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))
44.0ms	(cbrt (pow (cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3)) 3))

simplify105.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 4 (96.0ms)

Iter	Nodes	Cost
0	210	624
1	401	620
2	1016	620
3	3784	620
4	5001	548

prune508.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 25.6b

localize46.0ms

Local error

Found 4 expressions with local error:

4.2b	(sin (/ (- lambda1 lambda2) 2.0))
4.2b	(sin (/ (- lambda1 lambda2) 2.0))
4.2b	(sin (/ (- lambda1 lambda2) 2.0))
4.2b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 32

Calls

4 calls:

5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series153.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- lambda1 lambda2) 2.0))
40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify191.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	54	248
1	89	216
2	188	216
3	373	216
4	1242	216
5	4970	216
6	5002	216

prune345.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 25.6b

regimes1.5s

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	53
1	53	53

end0.0ms

sample8.0s

Algorithm

intervals

Results

5.8s	4731×	body	1280	valid
1.5s	1935×	body	640	valid
292.0ms	567×	body	320	valid
81.0ms	578×	body	80	valid
76.0ms	194×	body	160	valid
1.0ms	1×	body	640	nan