Details

sample114.0ms

Algorithm

intervals

Results

40.0ms	100×	body	1280	valid
22.0ms	91×	body	640	valid
17.0ms	283×	body	80	valid
6.0ms	36×	body	320	valid
2.0ms	17×	body	160	valid

simplify2.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	23	11
2	56	11
3	86	11
4	202	11
5	385	11
6	564	11
7	967	11
8	1752	11
9	2914	11
10	4434	11
done	5000	11

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

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:

11.0ms	(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))
6.0ms	(+ (exp (neg im)) (exp im))

series19.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))
4.0ms	(+ (exp (neg im)) (exp im))

simplify1.7s

Counts

41 → 41

Iterations

Useful iterations: 3 (468.0ms)

Iter	Nodes	Cost
0	87	548
1	253	532
2	996	443
3	4703	437
done	5000	437

prune51.0ms

Filtered

29 candidates to 41 candidates (-41.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	40	1	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	1	42

Merged error: 0b

Counts

42 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 56

Calls

3 calls:

9.0ms	(+ (* (/ (cos re) (exp im)) 0.5) (* (exp im) (* 0.5 (cos re))))
5.0ms	(/ (cos re) (exp im))
7.0ms	(* (exp im) (* 0.5 (cos re)))

series42.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(+ (* (/ (cos re) (exp im)) 0.5) (* (exp im) (* 0.5 (cos re))))
9.0ms	(/ (cos re) (exp im))
10.0ms	(* (exp im) (* 0.5 (cos re)))

simplify1.2s

Counts

65 → 65

Iterations

Useful iterations: 3 (373.0ms)

Iter	Nodes	Cost
0	117	824
1	301	794
2	1049	681
3	3970	672
done	5000	672

prune74.0ms

Filtered

47 candidates to 65 candidates (-38.3%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	65	1	66

Merged error: 0b

Counts

66 → 1

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	14	15
done	14	15

end0.0ms

sample3.2s

Algorithm

intervals

Results

1.3s	3053×	body	1280	valid
641.0ms	2567×	body	640	valid
474.0ms	8502×	body	80	valid
213.0ms	1261×	body	320	valid
78.0ms	644×	body	160	valid

Details

sample114.0ms

simplify2.1s

prune4.0ms

localize15.0ms

rewrite18.0ms

series19.0ms

simplify1.7s

prune51.0ms

localize10.0ms

rewrite23.0ms

series42.0ms

simplify1.2s

prune74.0ms

simplify1.0ms

end0.0ms

sample3.2s

Profiling