Details

sample92.0ms

Algorithm

intervals

Results

39.0ms	109×	body	1280	valid
20.0ms	94×	body	640	valid
11.0ms	260×	body	80	valid
5.0ms	33×	body	320	valid
2.0ms	22×	body	160	valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	23	11
2	56	11
3	82	11
4	184	11
5	250	11
6	322	11
7	562	11
8	746	11
9	782	11
10	912	11
11	929	11
done	929	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

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:

26.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
9.0ms	(+ (exp (- im)) (exp im))

series88.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
25.0ms	(+ (exp (- im)) (exp im))

simplify2.8s

Counts

41 → 41

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	87	548
1	247	530
2	915	441
3	4082	437
done	5000	437

prune100.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	13	11
done	13	11

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.1s	3021×	body	1280	valid
527.0ms	2501×	body	640	valid
393.0ms	8531×	body	80	valid
168.0ms	1227×	body	320	valid
64.0ms	651×	body	160	valid