Details

sample659.0ms

Algorithm

intervals

Results

384.0ms	156×	body	1280	valid
94.0ms	61×	body	640	valid
14.0ms	13×	body	320	valid
5.0ms	8×	body	160	valid
5.0ms	18×	body	80	valid

simplify83.0ms

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

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 22.3b

Counts

2 → 1

localize35.0ms

Local error

Found 4 expressions with local error:

1.9b	(sin (/ (- lambda1 lambda2) 2.0))
1.9b	(sin (/ (- lambda1 lambda2) 2.0))
1.9b	(sin (/ (- lambda1 lambda2) 2.0))
1.9b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite20.0ms

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

series24.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(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))

simplify201.0ms

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

prune281.0ms

Filtered

40 candidates to 44 candidates (-10.0%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	34	10	44
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	35	10	45

Merged error: 21.8b

Counts

45 → 10

localize39.0ms

Local error

Found 4 expressions with local error:

1.9b	(sin (/ (- lambda1 lambda2) 2.0))
1.9b	(sin (/ (- lambda1 lambda2) 2.0))
1.9b	(sin (/ (- lambda1 lambda2) 2.0))
8.9b	(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:

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

series22.0ms

Counts

4 → 12

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	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

simplify83.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 4 (77.0ms)

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

prune326.0ms

Filtered

42 candidates to 57 candidates (-35.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	51	6	57
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	54	13	67

Merged error: 21.8b

Counts

67 → 13

localize43.0ms

Local error

Found 4 expressions with local error:

1.9b	(sin (/ (- lambda1 lambda2) 2.0))
1.9b	(sin (/ (- lambda1 lambda2) 2.0))
1.9b	(sin (/ (- lambda1 lambda2) 2.0))
4.2b	(log (exp (sin (/ (- lambda1 lambda2) 2.0))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 40

Calls

4 calls:

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

series23.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify65.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	91	298
1	150	260
2	292	260
3	578	260
4	1948	260
5	5001	260

prune355.0ms

Filtered

44 candidates to 52 candidates (-18.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	50	2	52
Fresh	1	11	12
Picked	1	0	1
Done	0	0	0
Total	52	13	65

Merged error: 21.8b

Counts

65 → 13

localize42.0ms

Local error

Found 4 expressions with local error:

1.9b	(sin (/ (- lambda1 lambda2) 2.0))
1.9b	(sin (/ (- lambda1 lambda2) 2.0))
8.9b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))
8.9b	(cbrt (pow (sin (/ (- lambda1 lambda2) 2.0)) 3))

rewrite23.0ms

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` `add-cbrt-cube` `add-log-exp`
2×	`cube-mult` `pow1/3` `unpow3` `div-sub` `sin-diff` `rem-cbrt-cube` `sqr-pow`

Counts

4 → 58

Calls

4 calls:

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

series22.0ms

Counts

4 → 12

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

simplify84.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 4 (78.0ms)

Iter	Nodes	Cost
0	106	410
1	282	406
2	784	406
3	3070	406
4	5002	364

prune257.0ms

Filtered

48 candidates to 70 candidates (-45.8%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	69	14	83

Merged error: 21.8b

Counts

83 → 14

regimes1.4s

Accuracy

0% (0.6b remaining)

Error of 24.1b against oracle of 23.5b and baseline of 24.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	42
1	41	42

end0.0ms

sample16.3s

Algorithm

intervals

Results

11.7s	4709×	body	1280	valid
3.1s	1972×	body	640	valid
592.0ms	555×	body	320	valid
164.0ms	584×	body	80	valid
119.0ms	182×	body	160	valid

Details

sample659.0ms

simplify83.0ms

prune9.0ms

localize35.0ms

rewrite20.0ms

series24.0ms

simplify201.0ms

prune281.0ms

localize39.0ms

rewrite24.0ms

series22.0ms

simplify83.0ms

prune326.0ms

localize43.0ms

rewrite23.0ms

series23.0ms

simplify65.0ms

prune355.0ms

localize42.0ms

rewrite23.0ms

series22.0ms

simplify84.0ms

prune257.0ms

regimes1.4s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample16.3s

Profiling