Details

sample97.0ms

Algorithm

intervals

Results

43.0ms	109×	body	1280	valid
20.0ms	94×	body	640	valid
12.0ms	260×	body	80	valid
5.0ms	33×	body	320	valid
2.0ms	22×	body	160	valid

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	23	11
2	58	11
3	98	11
4	204	11
5	272	11
6	357	11
7	601	11
8	795	11
9	831	11
10	964	11
11	981	11
done	981	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))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-cube-cbrt` `associate-r` `add-log-exp`
3×	`fma-def` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-l` `sum-log` `*-commutative`

Counts

2 → 42

Calls

2 calls:

27.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
13.0ms	(+ (exp (- im)) (exp im))

series86.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
23.0ms	(+ (exp (- im)) (exp im))

simplify3.1s

Counts

48 → 48

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	91	586
1	257	566
2	967	488
3	4296	471
done	5000	471

prune116.0ms

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

1.2s	3021×	body	1280	valid
529.0ms	2501×	body	640	valid
381.0ms	8531×	body	80	valid
178.0ms	1227×	body	320	valid
64.0ms	651×	body	160	valid