Details

analyze358.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
25%	74.9%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	37.5%	0.1%	6
62.4%	31.2%	6.3%	7
62.4%	31.2%	6.3%	8
62.4%	28.1%	9.5%	9
62.4%	28.1%	9.5%	10
62.4%	26.5%	11%	11
62.4%	26.5%	11%	12
62.4%	25.8%	11.8%	13
62.4%	25.8%	11.8%	14

sample99.0ms

Algorithm

intervals

Results

26.0ms	50×	body	1280	valid
17.0ms	49×	body	1280	invalid
9.0ms	33×	body	640	valid
9.0ms	38×	body	640	invalid
9.0ms	144×	body	80	valid
4.0ms	25×	body	320	invalid
4.0ms	64×	body	80	invalid
3.0ms	19×	body	320	valid
2.0ms	15×	body	160	invalid
1.0ms	10×	body	160	valid

simplify68.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5009	12

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`-un-lft-identity` `associate-r*`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

1 → 23

Calls

1 calls:

11.0ms

(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify35.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4973	338
1	4973	338

prune38.0ms

Filtered

17 candidates to 26 candidates (-52.9%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	25	1	26
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	26	1	27

Merged error: 0.0b

Counts

27 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `add-cbrt-cube`
6×	`associate-l`
5×	`add-exp-log` `add-log-exp`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `sub-neg` `flip3-+` `exp-diff` `associate-*r/` `exp-sum` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 50

Calls

3 calls:

5.0ms	(* (sin re) (exp im))
8.0ms	(* (sin re) (exp (- 0.0 im)))
11.0ms	(+ (* 0.5 (* (sin re) (exp (- 0.0 im)))) (* 0.5 (* (sin re) (exp im))))

series34.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(* (sin re) (exp im))
8.0ms	(* (sin re) (exp (- 0.0 im)))
19.0ms	(+ (* 0.5 (* (sin re) (exp (- 0.0 im)))) (* 0.5 (* (sin re) (exp im))))

simplify31.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5291	572

prune76.0ms

Filtered

44 candidates to 59 candidates (-34.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	59	1	60

Merged error: 0.0b

Counts

60 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	17
1	28	17

end0.0ms

sample3.0s

Algorithm

intervals

Results

835.0ms	1549×	body	1280	valid
528.0ms	1525×	body	1280	invalid
352.0ms	1212×	body	640	valid
299.0ms	1262×	body	640	invalid
257.0ms	4255×	body	80	valid
155.0ms	2415×	body	80	invalid
120.0ms	646×	body	320	valid
111.0ms	630×	body	320	invalid
41.0ms	338×	body	160	valid
35.0ms	275×	body	160	invalid

Details

analyze358.0ms

sample99.0ms

simplify68.0ms

prune9.0ms

localize10.0ms

rewrite11.0ms

series15.0ms

simplify35.0ms

prune38.0ms

localize12.0ms

rewrite25.0ms

series34.0ms

simplify31.0ms

prune76.0ms

simplify1.0ms

end0.0ms

sample3.0s

Profiling