Details

analyze313.0ms

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
12.5%	87.4%	0.1%	4
18.7%	81.2%	0.1%	5
21.9%	78%	0.1%	6
50%	43.7%	6.3%	7
50%	43.7%	6.3%	8
56.2%	34.3%	9.5%	9
56.2%	34.3%	9.5%	10
59.3%	29.7%	11%	11
59.3%	29.7%	11%	12
60.9%	27.3%	11.8%	13
60.9%	27.3%	11.8%	14

sample68.0ms

Algorithm

intervals

Results

10.0ms	44×	body	1280	invalid
10.0ms	40×	body	1280	valid
10.0ms	146×	body	80	valid
7.0ms	45×	body	640	invalid
6.0ms	32×	body	640	valid
3.0ms	27×	body	320	valid
3.0ms	66×	body	80	invalid
3.0ms	24×	body	320	invalid
1.0ms	12×	body	160	invalid
1.0ms	11×	body	160	valid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4910	11
1	4910	11

prune3.0ms

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(sinh y)
0.0b	(* (sin x) (/ (sinh y) y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-l`
2×	`prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
1×	`cbrt-undiv` `sinh-def` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv`

Counts

2 → 40

Calls

2 calls:

1.0ms	(sinh y)
7.0ms	(* (sin x) (/ (sinh y) y))

series31.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(sinh y)
22.0ms	(* (sin x) (/ (sinh y) y))

simplify57.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5452	622

prune41.0ms

Filtered

36 candidates to 46 candidates (-27.8%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	45	1	46
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	1	47

Merged error: 0.0b

Counts

47 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
0.0b	(sinh y)
0.0b	(sinh y)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

16×	`associate-r`
13×	`sqrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`sqrt-div`
3×	`associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`sinh-def`
1×	`frac-times` `associate-l` `associate-l/` `-commutative` `div-inv`

Counts

3 → 50

Calls

3 calls:

14.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
1.0ms	(sinh y)
1.0ms	(sinh y)

series58.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
8.0ms	(sinh y)
8.0ms	(sinh y)

simplify43.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5243	1145

prune66.0ms

Filtered

47 candidates to 59 candidates (-25.5%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	59	1	60

Merged error: 0.0b

Counts

60 → 1

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	11	23

end0.0ms

sample2.0s

Algorithm

intervals

Results

397.0ms	1506×	body	1280	valid
348.0ms	1449×	body	1280	invalid
215.0ms	1239×	body	640	valid
206.0ms	4332×	body	80	valid
203.0ms	1214×	body	640	invalid
111.0ms	2371×	body	80	invalid
80.0ms	642×	body	320	valid
77.0ms	613×	body	320	invalid
27.0ms	296×	body	160	invalid
25.0ms	281×	body	160	valid

Details

analyze313.0ms

sample68.0ms

simplify54.0ms

prune3.0ms

localize6.0ms

rewrite10.0ms

series31.0ms

simplify57.0ms

prune41.0ms

localize8.0ms

rewrite19.0ms

series58.0ms

simplify43.0ms

prune66.0ms

simplify2.0ms

end0.0ms

sample2.0s

Profiling