Details

analyze334.0ms (9.1%)

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
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
37.5%	50%	12.6%	7
37.5%	50%	12.6%	8
43.7%	37.5%	18.8%	9
43.7%	37.5%	18.8%	10
46.8%	31.2%	22%	11
46.8%	31.2%	22%	12
48.4%	28.1%	23.5%	13
48.4%	28.1%	23.5%	14

sample71.0ms (1.9%)

Algorithm

1×

intervals

Results

15.0ms	45×	body	1280	valid
14.0ms	52×	body	1280	invalid
10.0ms	52×	body	640	valid
7.0ms	41×	body	640	invalid
5.0ms	118×	body	80	valid
3.0ms	28×	body	320	valid
2.0ms	14×	body	320	invalid
1.0ms	13×	body	160	valid
1.0ms	11×	body	160	invalid
1.0ms	16×	body	80	invalid

simplify36.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (35.0ms)

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

rewrite13.0ms (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	(* (cos x) (/ (sinh y) y))
3.0ms	(/ (sinh y) y)
1.0ms	(sinh y)

series43.0ms (1.2%)

Counts

3 → 9

Calls

3 calls:

25.0ms	(* (cos x) (/ (sinh y) y))
11.0ms	(/ (sinh y) y)
7.0ms	(sinh y)

simplify62.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4929	621
1	4929	621

prune98.0ms (2.7%)

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

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite25.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

14.0ms	(* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
3.0ms	(/ (sinh y) y)
3.0ms	(/ (sinh y) y)
1.0ms	(sinh y)

series68.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
11.0ms	(/ (sinh y) y)
11.0ms	(/ (sinh y) y)
10.0ms	(sinh y)

simplify55.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5045	1132

prune322.0ms (8.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	110	3	113

Merged error: 0b

Counts

113 → 3

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(* (cos x) (/ (sinh y) y))
0.4b	(pow (* (cos x) (/ (sinh y) y)) 3)
0.6b	(cbrt (pow (* (cos x) (/ (sinh y) y)) 3))

rewrite18.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
15×	`add-exp-log` `add-cbrt-cube`
14×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
10×	`times-frac`
9×	`pow1`
8×	`cbrt-prod`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow-unpow` `associate-r/` `associate-l*` `pow-exp` `rem-cube-cbrt`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `div-exp` `pow-prod-down` `unswap-sqr` `sqr-pow`
1×	`pow-to-exp` `sinh-def` `cbrt-div` `pow1/3` `*-commutative` `rem-cbrt-cube` `div-inv`

Counts

4 → 83

Calls

4 calls:

7.0ms	(* (cos x) (/ (sinh y) y))
6.0ms	(pow (* (cos x) (/ (sinh y) y)) 3)
2.0ms	(cbrt (pow (* (cos x) (/ (sinh y) y)) 3))
1.0ms	(sinh y)

series84.0ms (2.3%)

Counts

4 → 12

Calls

4 calls:

36.0ms	(pow (* (cos x) (/ (sinh y) y)) 3)
23.0ms	(cbrt (pow (* (cos x) (/ (sinh y) y)) 3))
18.0ms	(* (cos x) (/ (sinh y) y))
7.0ms	(sinh y)

simplify24.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	4993	870
1	4993	870

prune128.0ms (3.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	95	3	98

Merged error: 0b

Counts

98 → 3

regimes179.0ms (4.9%)

Accuracy

Total 0.0b remaining (47%)

Threshold costs 0.0b (47%)

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%)

sample2.1s (56.5%)

Algorithm

1×

intervals

Results

490.0ms	1538×	body	1280	valid
417.0ms	1470×	body	1280	invalid
243.0ms	1250×	body	640	valid
231.0ms	1252×	body	640	invalid
174.0ms	4229×	body	80	valid
87.0ms	659×	body	320	valid
81.0ms	632×	body	320	invalid
29.0ms	289×	body	160	invalid
29.0ms	546×	body	80	invalid
29.0ms	324×	body	160	valid

Details

analyze334.0ms (9.1%)

sample71.0ms (1.9%)

simplify36.0ms (1%)

prune6.0ms (0.2%)

localize7.0ms (0.2%)

rewrite13.0ms (0.4%)

series43.0ms (1.2%)

simplify62.0ms (1.7%)

prune98.0ms (2.7%)

localize9.0ms (0.2%)

rewrite25.0ms (0.7%)

series68.0ms (1.9%)

simplify55.0ms (1.5%)

prune322.0ms (8.8%)

localize10.0ms (0.3%)

rewrite18.0ms (0.5%)

series84.0ms (2.3%)

simplify24.0ms (0.7%)

prune128.0ms (3.5%)

regimes179.0ms (4.9%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample2.1s (56.5%)

Profiling