Details

analyze344.0ms (9.3%)

Algorithm

1×

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

sample80.0ms (2.2%)

Algorithm

1×

intervals

Results

19.0ms	57×	body	1280	valid
12.0ms	42×	body	1280	invalid
8.0ms	40×	body	640	invalid
7.0ms	37×	body	640	valid
7.0ms	75×	body	80	invalid
7.0ms	135×	body	80	valid
2.0ms	18×	body	320	invalid
2.0ms	15×	body	320	valid
1.0ms	12×	body	160	valid
1.0ms	8×	body	160	invalid

simplify39.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4909	7
1	4909	7

prune6.0ms (0.2%)

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

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite14.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 68

Calls

3 calls:

7.0ms	(* (sin x) (/ (sinh y) y))
3.0ms	(/ (sinh y) y)
1.0ms	(sinh y)

series42.0ms (1.1%)

Counts

3 → 9

Calls

3 calls:

20.0ms	(* (sin x) (/ (sinh y) y))
14.0ms	(/ (sinh y) y)
8.0ms	(sinh y)

simplify47.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4972	621
1	4972	621

prune86.0ms (2.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	75	3	78

Merged error: 0b

Counts

78 → 3

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt (/ (sinh y) y))
0.0b	(sqrt (/ (sinh y) y))
0.0b	(/ (sinh y) y)
0.0b	(/ (sinh y) y)

rewrite19.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
38×	`times-frac`
34×	`add-cube-cbrt` `*-un-lft-identity`
26×	`sqrt-prod`
8×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `associate-/r` `associate-/l`
4×	`rem-sqrt-square` `div-inv` `add-log-exp`
2×	`cbrt-undiv` `sinh-def` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `div-exp` `clear-num` `associate-/l/`

Counts

4 → 106

Calls

4 calls:

6.0ms	(sqrt (/ (sinh y) y))
4.0ms	(/ (sinh y) y)
4.0ms	(/ (sinh y) y)
3.0ms	(sqrt (/ (sinh y) y))

series61.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

20.0ms	(sqrt (/ (sinh y) y))
20.0ms	(sqrt (/ (sinh y) y))
11.0ms	(/ (sinh y) y)
11.0ms	(/ (sinh y) y)

simplify65.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4939	1296
1	4939	1296

prune142.0ms (3.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	118	3	121

Merged error: 0b

Counts

121 → 3

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
13.2b	(/ (* (sin x) (sinh y)) y)

rewrite11.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 49

Calls

3 calls:

5.0ms	(/ (* (sin x) (sinh y)) y)
4.0ms	(* (sin x) (sinh y))
1.0ms	(sinh y)

series45.0ms (1.2%)

Counts

3 → 9

Calls

3 calls:

19.0ms	(/ (* (sin x) (sinh y)) y)
18.0ms	(* (sin x) (sinh y))
7.0ms	(sinh y)

simplify37.0ms (1%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	6016	419

prune60.0ms (1.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	58	3	61

Merged error: 0b

Counts

61 → 3

regimes185.0ms (5%)

Accuracy

Total 0.0b remaining (43.8%)

Threshold costs 0.0b (43.8%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms (0%)

sample2.4s (64.6%)

Algorithm

1×

intervals

Results

511.0ms	1507×	body	1280	valid
459.0ms	1507×	body	1280	invalid
265.0ms	1282×	body	640	valid
252.0ms	1204×	body	640	invalid
211.0ms	4234×	body	80	valid
133.0ms	2453×	body	80	invalid
90.0ms	645×	body	320	invalid
90.0ms	644×	body	320	valid
33.0ms	333×	body	160	valid
30.0ms	293×	body	160	invalid

Details

analyze344.0ms (9.3%)

sample80.0ms (2.2%)

simplify39.0ms (1%)

prune6.0ms (0.2%)

localize7.0ms (0.2%)

rewrite14.0ms (0.4%)

series42.0ms (1.1%)

simplify47.0ms (1.3%)

prune86.0ms (2.3%)

localize10.0ms (0.3%)

rewrite19.0ms (0.5%)

series61.0ms (1.7%)

simplify65.0ms (1.8%)

prune142.0ms (3.8%)

localize7.0ms (0.2%)

rewrite11.0ms (0.3%)

series45.0ms (1.2%)

simplify37.0ms (1%)

prune60.0ms (1.6%)

regimes185.0ms (5%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample2.4s (64.6%)

Profiling