Details

analyze138.0ms (6.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
81.2%	18.7%	0.1%	5
81.2%	15.6%	3.2%	6
81.2%	15.6%	3.2%	7
81.2%	14%	4.8%	8
81.2%	14%	4.8%	9
81.2%	13.3%	5.6%	10
81.2%	13.3%	5.6%	11
81.2%	12.9%	6%	12
81.2%	12.9%	6%	13
81.2%	12.7%	6.1%	14

sample47.0ms (2.3%)

Algorithm

1×

intervals

Results

11.0ms	29×	body	1280	valid
8.0ms	38×	body	640	valid
7.0ms	169×	body	80	valid
4.0ms	15×	body	1280	invalid
3.0ms	15×	body	640	invalid
2.0ms	15×	body	320	valid
1.0ms	30×	body	80	invalid
0.0ms	5×	body	160	valid
0.0ms	2×	body	320	invalid
0.0ms	2×	body	160	invalid

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	5
1	6	5

prune6.0ms (0.3%)

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

localize9.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b	(* (exp re) (sin im))

rewrite6.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`add-exp-log`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 18

Calls

1 calls:

5.0ms

(* (exp re) (sin im))

series10.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

9.0ms

(* (exp re) (sin im))

simplify51.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4950	136
1	4950	136

prune28.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	20	1	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	2	22

Merged error: 0b

Counts

22 → 2

localize7.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp re))
0.0b	(sqrt (exp re))
0.0b	(* (sqrt (exp re)) (* (sin im) (sqrt (exp re))))
0.0b	(* (sin im) (sqrt (exp re)))

rewrite24.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
13×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
11×	`add-exp-log` `add-cbrt-cube`
9×	`associate-l`
8×	`sqrt-pow1`
7×	`associate-r`
6×	`exp-prod`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

9.0ms	(* (sqrt (exp re)) (* (sin im) (sqrt (exp re))))
6.0ms	(* (sin im) (sqrt (exp re)))
2.0ms	(sqrt (exp re))
2.0ms	(sqrt (exp re))

series24.0ms (1.2%)

Counts

4 → 12

Calls

4 calls:

10.0ms	(* (sin im) (sqrt (exp re)))
9.0ms	(* (sqrt (exp re)) (* (sin im) (sqrt (exp re))))
3.0ms	(sqrt (exp re))
3.0ms	(sqrt (exp re))

simplify70.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4801	517
1	4801	517

prune89.0ms (4.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	87	2	89

Merged error: 0b

Counts

89 → 2

regimes181.0ms (8.8%)

Accuracy

Total 0.0b remaining (20.8%)

Threshold costs 0.0b (20.8%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	5
1	6	5

end0.0ms (0%)

sample1.4s (66.1%)

Algorithm

1×

intervals

Results

363.0ms	991×	body	1280	valid
253.0ms	5595×	body	80	valid
180.0ms	843×	body	640	valid
132.0ms	494×	body	1280	invalid
74.0ms	407×	body	640	invalid
55.0ms	395×	body	320	valid
36.0ms	817×	body	80	invalid
28.0ms	224×	body	320	invalid
16.0ms	176×	body	160	valid
8.0ms	95×	body	160	invalid

Details

analyze138.0ms (6.8%)

sample47.0ms (2.3%)

simplify2.0ms (0.1%)

prune6.0ms (0.3%)

localize9.0ms (0.4%)

rewrite6.0ms (0.3%)

series10.0ms (0.5%)

simplify51.0ms (2.5%)

prune28.0ms (1.3%)

localize7.0ms (0.4%)

rewrite24.0ms (1.2%)

series24.0ms (1.2%)

simplify70.0ms (3.4%)

prune89.0ms (4.3%)

regimes181.0ms (8.8%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample1.4s (66.1%)

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