Details

sample153.0ms

Algorithm

intervals

Results

63.0ms	101×	body	1280	valid
30.0ms	75×	body	640	valid
23.0ms	274×	body	80	valid
12.0ms	42×	body	320	valid
4.0ms	21×	body	160	valid

simplify4.8s

Counts

1 → 1

Iterations

Useful iterations: 3 (78.0ms)

Iter	Nodes	Cost
0	10	363
1	23	363
2	57	363
3	86	293
4	210	293
5	617	293
6	1348	293
7	2355	293
8	2876	293
9	3063	293
10	3212	293
done	3212	293

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 3 expressions with local error:

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

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 50

Calls

3 calls:

22.0ms	(+ (* (exp im) (* 0.5 (cos re))) (/ (* 0.5 (cos re)) (exp im)))
35.0ms	(* (exp im) (* 0.5 (cos re)))
20.0ms	(/ (* 0.5 (cos re)) (exp im))

series279.0ms

Counts

3 → 9

Calls

3 calls:

135.0ms	(+ (* (exp im) (* 0.5 (cos re))) (/ (* 0.5 (cos re)) (exp im)))
71.0ms	(* (exp im) (* 0.5 (cos re)))
73.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify2.4s

Counts

59 → 59

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	102	18133
1	293	16776
2	1069	16156
done	5000	16116

prune348.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	293
1	12	293
done	12	293

end0.0ms

sample5.8s

Algorithm

intervals

Results

2.4s	2901×	body	1280	valid
1.2s	2477×	body	640	valid
915.0ms	8385×	body	80	valid
543.0ms	661×	body	160	valid
300.0ms	1199×	body	320	valid