Details

sample89.0ms

Algorithm

intervals

Results

39.0ms	108×	body	1280	valid
15.0ms	74×	body	640	valid
13.0ms	292×	body	80	valid
5.0ms	34×	body	320	valid
2.0ms	17×	body	160	valid

simplify71.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (9.0ms)

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	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-r/` `associate-l` `-commutative`
1×	`flip3-+` `flip-+`

Counts

1 → 9

Calls

1 calls:

6.0ms

(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify33.0ms

Algorithm

egg-herbie

Counts

12 → 12

Iterations

Useful iterations: 3 (31.0ms)

Iter	Nodes	Cost
0	119	88
1	351	87
2	1027	82
3	5002	80

prune32.0ms

Filtered

12 candidates to 9 candidates (75.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	11	1	12
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	12	1	13

Merged error: 0b

Counts

13 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

3×	`div-inv`
2×	`associate-/l*`
1×	`+-commutative` `fma-def` `frac-2neg` `flip3-+` `clear-num` `*-commutative` `flip-+` `distribute-lft-out`

Counts

2 → 10

Calls

2 calls:

8.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
4.0ms	(/ (* 0.5 (cos re)) (exp im))

series118.0ms

Counts

2 → 6

Calls

2 calls:

78.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
40.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify76.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	130	118
1	497	110
2	2315	107
3	5002	103

prune40.0ms

Filtered

16 candidates to 14 candidates (87.5%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	1	17

Merged error: 0b

Counts

17 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	9
1	12	9

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.1s	2970×	body	1280	valid
542.0ms	2511×	body	640	valid
402.0ms	8572×	body	80	valid
173.0ms	1203×	body	320	valid
58.0ms	585×	body	160	valid