Details

sample263.0ms

Algorithm

intervals

Results

177.0ms	152×	body	1280	valid
48.0ms	61×	body	640	valid
6.0ms	13×	body	320	valid
3.0ms	21×	body	80	valid
3.0ms	9×	body	160	valid

simplify79.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	56	38
1	102	38
2	191	38
3	377	38
4	776	38
5	2500	38
6	5002	38

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.0b

localize33.0ms

Local error

Found 4 expressions with local error:

3.4b	(sin (/ (- lambda1 lambda2) 2.0))
3.4b	(sin (/ (- lambda1 lambda2) 2.0))
3.4b	(sin (/ (- lambda1 lambda2) 2.0))
3.4b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 40

Calls

4 calls:

9.0ms	(sin (/ (- lambda1 lambda2) 2.0))
9.0ms	(sin (/ (- lambda1 lambda2) 2.0))
12.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series150.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
38.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify64.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	58	276
1	99	248
2	212	248
3	467	248
4	1459	248
5	5002	248

prune444.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 25.0b

localize38.0ms

Local error

Found 4 expressions with local error:

3.4b	(sin (/ (- lambda1 lambda2) 2.0))
3.4b	(sin (/ (- lambda1 lambda2) 2.0))
3.4b	(sin (/ (- lambda1 lambda2) 2.0))
8.6b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 53

Calls

4 calls:

9.0ms	(sin (/ (- lambda1 lambda2) 2.0))
9.0ms	(sin (/ (- lambda1 lambda2) 2.0))
12.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

series149.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
40.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify83.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 4 (78.0ms)

Iter	Nodes	Cost
0	112	343
1	294	343
2	783	343
3	3091	343
4	5002	316

prune509.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 25.0b

localize39.0ms

Local error

Found 4 expressions with local error:

3.4b	(sin (/ (- lambda1 lambda2) 2.0))
3.4b	(sin (/ (- lambda1 lambda2) 2.0))
8.6b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))
8.6b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`cube-mult` `pow1/3` `unpow3` `div-sub` `sin-diff` `rem-cbrt-cube` `sqr-pow`

Counts

4 → 66

Calls

4 calls:

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

series149.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(sin (/ (- lambda1 lambda2) 2.0))
41.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))
36.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify89.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 4 (83.0ms)

Iter	Nodes	Cost
0	112	438
1	294	438
2	811	438
3	3181	438
4	5001	396

prune579.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 25.0b

localize46.0ms

Local error

Found 4 expressions with local error:

3.4b	(sin (/ (- lambda1 lambda2) 2.0))
3.4b	(sin (/ (- lambda1 lambda2) 2.0))
8.6b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))
8.6b	(cbrt (pow (expm1 (log1p (sin (/ (- lambda1 lambda2) 2.0)))) 3))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`cube-mult` `pow1/3` `unpow3` `div-sub` `sin-diff` `rem-cbrt-cube` `sqr-pow`

Counts

4 → 66

Calls

4 calls:

10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
12.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))
2.0ms	(cbrt (pow (expm1 (log1p (sin (/ (- lambda1 lambda2) 2.0)))) 3))

series229.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(sin (/ (- lambda1 lambda2) 2.0))
37.0ms	(sin (/ (- lambda1 lambda2) 2.0))
36.0ms	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))
97.0ms	(cbrt (pow (expm1 (log1p (sin (/ (- lambda1 lambda2) 2.0)))) 3))

simplify95.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 4 (89.0ms)

Iter	Nodes	Cost
0	172	438
1	378	438
2	971	438
3	3513	438
4	5002	396

prune517.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 25.0b

regimes1.0s

Accuracy

0% (0.6b remaining)

Error of 25.1b against oracle of 24.5b and baseline of 25.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	46
1	47	46

end0.0ms

sample7.8s

Algorithm

intervals

Results

5.5s	4682×	body	1280	valid
1.4s	1966×	body	640	valid
285.0ms	570×	body	320	valid
80.0ms	569×	body	80	valid
73.0ms	215×	body	160	valid
1.0ms	1×	body	640	nan