Details

analyze363.0ms

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
50%	50%	0.1%	5
50%	50%	0.1%	6
50%	37.5%	12.6%	7
50%	37.5%	12.6%	8
50%	31.2%	18.8%	9
50%	31.2%	18.8%	10
50%	28.1%	22%	11
50%	28.1%	22%	12
50%	26.5%	23.5%	13
50%	26.5%	23.5%	14

sample96.0ms

Algorithm

intervals

Results

23.0ms	46×	body	1280	valid
21.0ms	54×	body	1280	invalid
11.0ms	42×	body	640	valid
10.0ms	44×	body	640	invalid
8.0ms	141×	body	80	valid
4.0ms	26×	body	320	invalid
2.0ms	14×	body	320	valid
2.0ms	13×	body	160	valid
1.0ms	14×	body	80	invalid
1.0ms	6×	body	160	invalid

simplify93.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	5439	11

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))
0.0b	(+ (exp (neg im)) (exp im))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
4×	`associate-r` `add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3-+` `associate-*r/` `flip-+` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-l` `sum-log` `*-commutative`

Counts

2 → 35

Calls

2 calls:

13.0ms	(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))
5.0ms	(+ (exp (neg im)) (exp im))

series18.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))
4.0ms	(+ (exp (neg im)) (exp im))

simplify52.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5312	437

prune41.0ms

Filtered

27 candidates to 41 candidates (-51.9%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	1	42

Merged error: 0b

Counts

42 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	11
1	20	11

end0.0ms

sample2.8s

Algorithm

intervals

Results

817.0ms	1546×	body	1280	valid
504.0ms	1496×	body	1280	invalid
342.0ms	1265×	body	640	valid
297.0ms	1294×	body	640	invalid
236.0ms	4274×	body	80	valid
104.0ms	628×	body	320	invalid
103.0ms	583×	body	320	valid
39.0ms	332×	body	160	valid
34.0ms	303×	body	160	invalid
34.0ms	516×	body	80	invalid

Details

analyze363.0ms

sample96.0ms

simplify93.0ms

prune7.0ms

localize10.0ms

rewrite19.0ms

series18.0ms

simplify52.0ms

prune41.0ms

simplify1.0ms

end0.0ms

sample2.8s

Profiling