Details

sample88.0ms

Algorithm

intervals

Results

39.0ms	98×	body	1280	valid
13.0ms	66×	body	640	valid
12.0ms	296×	body	80	valid
4.0ms	31×	body	320	valid
2.0ms	18×	body	160	valid

simplify69.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	7
1	58	7
2	95	7
3	209	7
4	459	7
5	629	7
6	1415	7
7	2148	7
8	5002	7
done	5002	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite80.0ms

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:

17.0ms	(+ (exp (- im)) (exp im))
62.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series89.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ (exp (- im)) (exp im))
65.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify39.0ms

Counts

41 → 41

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	249	347
1	1193	286
2	5001	284
done	5001	284

prune93.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-cbrt-cube`
9×	`add-exp-log`
8×	`pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`times-frac` `associate-r` `pow-prod-down` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `div-inv`
1×	`+-commutative` `frac-2neg` `flip3-+` `associate-l` `clear-num` `sum-log` `-commutative` `flip-+` `distribute-lft-out` `associate-/l`

Counts

3 → 51

Calls

3 calls:

24.0ms	(* (* 0.5 (cos re)) (exp im))
28.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
13.0ms	(/ (* 0.5 (cos re)) (exp im))

series167.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(* (* 0.5 (cos re)) (exp im))
84.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (* 0.5 (cos re)) (exp im)))
44.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify49.0ms

Counts

60 → 60

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	284	450
1	1619	391
2	5001	384
done	5001	384

prune134.0ms

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	12	9
1	12	9
done	12	9

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.1s	3083×	body	1280	valid
546.0ms	2533×	body	640	valid
366.0ms	8545×	body	80	valid
171.0ms	1213×	body	320	valid
57.0ms	591×	body	160	valid