Details

sample270.0ms

Algorithm

intervals

Results

179.0ms	151×	body	1280	valid
44.0ms	60×	body	640	valid
9.0ms	18×	body	320	valid
8.0ms	5×	body	160	valid
3.0ms	22×	body	80	valid

simplify76.0ms

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: 24.6b

localize40.0ms

Local error

Found 4 expressions with local error:

3.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite41.0ms

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:

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

series137.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- lambda1 lambda2) 2.0))
31.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify193.0ms

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

prune363.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 24.1b

localize40.0ms

Local error

Found 4 expressions with local error:

3.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(sin (/ (- lambda1 lambda2) 2.0))
9.7b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

rewrite45.0ms

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:

10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
14.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

series136.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(sin (/ (- lambda1 lambda2) 2.0))
31.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
33.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify84.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 4 (79.0ms)

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

prune440.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 24.1b

localize45.0ms

Local error

Found 4 expressions with local error:

3.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(sin (/ (- lambda1 lambda2) 2.0))
4.0b	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))
9.7b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 53

Calls

4 calls:

10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
31.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))
11.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

series141.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(sin (/ (- lambda1 lambda2) 2.0))
32.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))
34.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify105.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 4 (99.0ms)

Iter	Nodes	Cost
0	140	362
1	348	352
2	938	352
3	3690	352
4	5001	322

prune535.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 24.1b

localize42.0ms

Local error

Found 4 expressions with local error:

3.9b	(sin (/ (- lambda1 lambda2) 2.0))
3.9b	(sin (/ (- lambda1 lambda2) 2.0))
4.0b	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))
4.0b	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 48

Calls

4 calls:

11.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
29.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))
32.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

series134.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- lambda1 lambda2) 2.0))
32.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))
33.0ms	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

simplify70.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	91	348
1	150	304
2	292	304
3	578	304
4	1948	304
5	5001	304

prune458.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 24.1b

regimes957.0ms

Accuracy

0% (0.6b remaining)

Error of 24.6b against oracle of 24.0b and baseline of 24.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	50
1	43	50

end0.0ms

sample7.9s

Algorithm

intervals

Results

5.6s	4699×	body	1280	valid
1.4s	1938×	body	640	valid
274.0ms	555×	body	320	valid
80.0ms	592×	body	80	valid
73.0ms	216×	body	160	valid
1.0ms	2×	body	320	nan