Details

analyze344.0ms (7.7%)

Algorithm

1×

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

sample108.0ms (2.4%)

Algorithm

1×

intervals

Results

28.0ms	48×	body	1280	valid
19.0ms	58×	body	1280	invalid
13.0ms	48×	body	640	valid
10.0ms	44×	body	640	invalid
7.0ms	123×	body	80	valid
5.0ms	26×	body	320	valid
4.0ms	71×	body	80	invalid
4.0ms	23×	body	320	invalid
1.0ms	11×	body	160	valid
1.0ms	9×	body	160	invalid

simplify68.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5009	12

prune7.0ms (0.2%)

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 (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite11.0ms (0.2%)

Algorithm

1×	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:

10.0ms

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

series18.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

18.0ms

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

simplify35.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4973	338
1	4973	338

prune56.0ms (1.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	24	2	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	3	27

Merged error: 0b

Counts

27 → 3

localize12.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite24.0ms (0.5%)

Algorithm

1×	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:

10.0ms	(+ (* 0.5 (* (sin re) (exp (- 0.0 im)))) (* 0.5 (* (sin re) (exp im))))
8.0ms	(* (sin re) (exp (- 0.0 im)))
5.0ms	(* (sin re) (exp im))

series34.0ms (0.8%)

Counts

3 → 9

Calls

3 calls:

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

simplify30.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5291	572

prune98.0ms (2.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	59	3	62

Merged error: 0b

Counts

62 → 3

localize14.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(* (sin re) (+ (exp (- 0.0 im)) (exp im)))
0.4b	(pow (* 0.5 (* (sin re) (+ (exp (- 0.0 im)) (exp im)))) 3)
17.4b	(cbrt (pow (* 0.5 (* (sin re) (+ (exp (- 0.0 im)) (exp im)))) 3))

rewrite29.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`associate-*r/`
9×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`cbrt-prod`
7×	`add-cube-cbrt`
4×	`cube-div` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`pow-unpow` `pow-pow` `flip3-+` `associate-l` `pow-exp` `flip-+` `add-log-exp` `rem-cube-cbrt`
2×	`cube-mult` `unpow-prod-down` `cbrt-div` `unpow3` `cube-prod` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `pow1/3` `*-commutative` `rem-cbrt-cube` `distribute-lft-out` `unswap-sqr`

Counts

3 → 69

Calls

3 calls:

14.0ms	(pow (* 0.5 (* (sin re) (+ (exp (- 0.0 im)) (exp im)))) 3)
10.0ms	(* (sin re) (+ (exp (- 0.0 im)) (exp im)))
4.0ms	(cbrt (pow (* 0.5 (* (sin re) (+ (exp (- 0.0 im)) (exp im)))) 3))

series53.0ms (1.2%)

Counts

3 → 9

Calls

3 calls:

26.0ms	(pow (* 0.5 (* (sin re) (+ (exp (- 0.0 im)) (exp im)))) 3)
14.0ms	(cbrt (pow (* 0.5 (* (sin re) (+ (exp (- 0.0 im)) (exp im)))) 3))
12.0ms	(* (sin re) (+ (exp (- 0.0 im)) (exp im)))

simplify23.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	5027	1089

prune158.0ms (3.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	78	3	81

Merged error: 0b

Counts

81 → 3

regimes257.0ms (5.8%)

Accuracy

Total 0.0b remaining (56.5%)

Threshold costs 0.0b (56.5%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	12
1	24	12

end0.0ms (0%)

sample3.1s (68.9%)

Algorithm

1×

intervals

Results

824.0ms	1513×	body	1280	valid
533.0ms	1484×	body	1280	invalid
376.0ms	1263×	body	640	valid
308.0ms	1284×	body	640	invalid
268.0ms	4294×	body	80	valid
157.0ms	2531×	body	80	invalid
115.0ms	612×	body	320	valid
109.0ms	626×	body	320	invalid
40.0ms	318×	body	160	valid
37.0ms	310×	body	160	invalid

Details

analyze344.0ms (7.7%)

sample108.0ms (2.4%)

simplify68.0ms (1.5%)

prune7.0ms (0.2%)

localize10.0ms (0.2%)

rewrite11.0ms (0.2%)

series18.0ms (0.4%)

simplify35.0ms (0.8%)

prune56.0ms (1.2%)

localize12.0ms (0.3%)

rewrite24.0ms (0.5%)

series34.0ms (0.8%)

simplify30.0ms (0.7%)

prune98.0ms (2.2%)

localize14.0ms (0.3%)

rewrite29.0ms (0.7%)

series53.0ms (1.2%)

simplify23.0ms (0.5%)

prune158.0ms (3.5%)

regimes257.0ms (5.8%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample3.1s (68.9%)

Profiling