Details

sample86.0ms

Algorithm

intervals

Results

35.0ms	94×	body	1280	valid
16.0ms	75×	body	640	valid
12.0ms	286×	body	80	valid
6.0ms	41×	body	320	valid
2.0ms	24×	body	160	valid

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (10.0ms)

Iter	Nodes	Cost
0	23	7
1	60	7
2	112	7
3	236	7
4	520	6
5	702	6
6	1512	6
7	2280	6
8	5002	6

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 0.5 (exp im) (/ 0.5 (exp im)))
0.0b	(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))
0.0b	(/ 0.5 (exp im))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

1×	`frac-2neg` `clear-num` `*-commutative` `fma-udef` `div-inv`

Counts

3 → 5

Calls

3 calls:

1.0ms	(fma 0.5 (exp im) (/ 0.5 (exp im)))
2.0ms	(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))
2.0ms	(/ 0.5 (exp im))

series129.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(fma 0.5 (exp im) (/ 0.5 (exp im)))
70.0ms	(* (fma 0.5 (exp im) (/ 0.5 (exp im))) (cos re))
14.0ms	(/ 0.5 (exp im))

simplify102.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 4 (99.0ms)

Iter	Nodes	Cost
0	78	52
1	199	50
2	740	48
3	3122	44
4	5001	43

prune27.0ms

Filtered

14 candidates to 10 candidates (71.4%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	1	15

Merged error: 0.0b

Counts

15 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	6
1	9	6

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.1s	2961×	body	1280	valid
541.0ms	2497×	body	640	valid
392.0ms	8792×	body	80	valid
170.0ms	1197×	body	320	valid
56.0ms	588×	body	160	valid