Details

analyze734.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
18.7%	81.2%	0.1%	7
32.8%	67.1%	0.1%	8
38.2%	61.7%	0.1%	9
41%	58.9%	0.1%	10
43.9%	56%	0.1%	11
45.4%	54.5%	0.1%	12
46.9%	53%	0.1%	13
47.6%	52.3%	0.1%	14

sample81.0ms

Algorithm

intervals

Results

25.0ms	26×	body	2560	valid
22.0ms	43×	body	1280	valid
9.0ms	29×	body	640	valid
9.0ms	131×	body	80	valid
4.0ms	16×	body	320	valid
2.0ms	11×	body	160	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

prune8.0ms

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: 36.4b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

7.7b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
28.5b	(sin (/ x (* y 2.0)))
28.9b	(tan (/ x (* y 2.0)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
5×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
2×	`tan-quot`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `associate-/l/`

Counts

3 → 43

Calls

3 calls:

5.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
2.0ms	(sin (/ x (* y 2.0)))
2.0ms	(tan (/ x (* y 2.0)))

series35.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
4.0ms	(sin (/ x (* y 2.0)))
14.0ms	(tan (/ x (* y 2.0)))

simplify38.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5037	733

prune366.0ms

Filtered

44 candidates to 52 candidates (-18.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	38	14	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	39	14	53

Merged error: 26.4b

Counts

53 → 14

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune53.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	13	13
Picked	1	1
Done	0	0
Total	14	14

Merged error: 26.4b

Counts

14 → 14

localize15.0ms

Local error

Found 4 expressions with local error:

28.5b	(sin (/ x (* y 2.0)))
28.9b	(tan (/ x (* y 2.0)))
28.9b	(tan (/ x (* y 2.0)))
28.9b	(tan (/ x (* y 2.0)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`tan-quot`

Counts

4 → 31

Calls

4 calls:

2.0ms	(sin (/ x (* y 2.0)))
2.0ms	(tan (/ x (* y 2.0)))
2.0ms	(tan (/ x (* y 2.0)))
2.0ms	(tan (/ x (* y 2.0)))

series46.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(sin (/ x (* y 2.0)))
13.0ms	(tan (/ x (* y 2.0)))
14.0ms	(tan (/ x (* y 2.0)))
15.0ms	(tan (/ x (* y 2.0)))

simplify66.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4954	360
1	4954	360

prune203.0ms

Filtered

39 candidates to 43 candidates (-10.3%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	1	11	12
Picked	0	1	1
Done	0	1	1
Total	42	15	57

Merged error: 26.3b

Counts

57 → 15

localize19.0ms

Local error

Found 4 expressions with local error:

28.5b	(sin (/ x (* y 2.0)))
28.9b	(tan (/ x (* y 2.0)))
28.9b	(tan (/ x (* y 2.0)))
28.9b	(tan (/ x (* y 2.0)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`tan-quot`

Counts

4 → 31

Calls

4 calls:

2.0ms	(sin (/ x (* y 2.0)))
2.0ms	(tan (/ x (* y 2.0)))
2.0ms	(tan (/ x (* y 2.0)))
2.0ms	(tan (/ x (* y 2.0)))

series46.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(sin (/ x (* y 2.0)))
15.0ms	(tan (/ x (* y 2.0)))
13.0ms	(tan (/ x (* y 2.0)))
13.0ms	(tan (/ x (* y 2.0)))

simplify64.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4954	360
1	4954	360

prune168.0ms

Filtered

39 candidates to 43 candidates (-10.3%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	12	12
Picked	1	0	1
Done	0	2	2
Total	42	16	58

Merged error: 26.3b

Counts

58 → 16

regimes514.0ms

Accuracy

0% (2.5b remaining)

Error of 28.4b against oracle of 25.9b and baseline of 28.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	1	1
1	1	1

end0.0ms

sample2.3s

Algorithm

intervals

Results

686.0ms	1370×	body	1280	valid
634.0ms	637×	body	2560	valid
319.0ms	1006×	body	640	valid
302.0ms	4112×	body	80	valid
129.0ms	572×	body	320	valid
53.0ms	303×	body	160	valid

Details

analyze734.0ms

sample81.0ms

simplify3.0ms

prune8.0ms

localize10.0ms

rewrite10.0ms

series35.0ms

simplify38.0ms

prune366.0ms

localize1.0ms

rewrite0.0ms

series0.0ms

simplify3.0ms

prune53.0ms

localize15.0ms

rewrite9.0ms

series46.0ms

simplify66.0ms

prune203.0ms

localize19.0ms

rewrite9.0ms

series46.0ms

simplify64.0ms

prune168.0ms

regimes514.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.3s

Profiling