Details

analyze149.0ms (6.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
74.9%	18.7%	6.3%	6
74.9%	18.7%	6.3%	7
74.9%	15.6%	9.5%	8
74.9%	15.6%	9.5%	9
74.9%	14%	11%	10
74.9%	14%	11%	11
74.9%	13.3%	11.8%	12
74.9%	13.3%	11.8%	13
74.9%	12.9%	12.2%	14

sample44.0ms (2%)

Algorithm

1×

intervals

Results

13.0ms	38×	body	1280	valid
9.0ms	170×	body	80	valid
5.0ms	28×	body	640	valid
4.0ms	16×	body	1280	invalid
2.0ms	11×	body	640	invalid
2.0ms	14×	body	320	valid
1.0ms	9×	body	320	invalid
0.0ms	6×	body	160	valid
0.0ms	3×	body	160	invalid
0.0ms	3×	body	80	invalid

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	5
1	6	5

prune6.0ms (0.3%)

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

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(* (exp re) (cos im))

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`add-exp-log`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 18

Calls

1 calls:

5.0ms

(* (exp re) (cos im))

series8.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

8.0ms

(* (exp re) (cos im))

simplify55.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4955	134
1	4955	134

prune29.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	19	2	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	3	22

Merged error: 0b

Counts

22 → 3

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(* (exp re) (cos im))
0.2b	(cbrt (pow (* (exp re) (cos im)) 3))
0.3b	(pow (* (exp re) (cos im)) 3)

rewrite15.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
8×	`pow1` `cbrt-prod` `add-cbrt-cube`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log`
3×	`pow-unpow` `associate-r` `associate-l` `add-log-exp`
2×	`cube-mult` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `pow1/3` `*-commutative` `rem-cbrt-cube` `unswap-sqr`

Counts

3 → 57

Calls

3 calls:

7.0ms	(pow (* (exp re) (cos im)) 3)
5.0ms	(* (exp re) (cos im))
2.0ms	(cbrt (pow (* (exp re) (cos im)) 3))

series28.0ms (1.3%)

Counts

3 → 9

Calls

3 calls:

14.0ms	(pow (* (exp re) (cos im)) 3)
7.0ms	(cbrt (pow (* (exp re) (cos im)) 3))
7.0ms	(* (exp re) (cos im))

simplify29.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5221	453

prune91.0ms (4.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	67	2	69

Merged error: 0b

Counts

69 → 2

localize11.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(* (pow (exp re) 3) (pow (cos im) 3))
0.0b	(pow (exp re) 3)
0.2b	(cbrt (* (pow (exp re) 3) (pow (cos im) 3)))
0.4b	(pow (cos im) 3)

rewrite23.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
20×	`unpow-prod-down` `cube-prod`
17×	`add-cube-cbrt` `*-un-lft-identity`
16×	`unswap-sqr`
14×	`add-exp-log`
12×	`associate-r` `associate-l` `sqr-pow`
9×	`prod-exp`
8×	`pow-to-exp` `pow-exp` `add-cbrt-cube`
6×	`pow1` `pow-unpow`
5×	`pow-pow`
4×	`cube-mult` `unpow3` `add-log-exp`
3×	`exp-prod`
2×	`pow-prod-down` `rem-cube-cbrt`
1×	`cbrt-prod` `pow1/3` `*-commutative` `rem-cbrt-cube` `cbrt-unprod`

Counts

4 → 118

Calls

4 calls:

9.0ms	(* (pow (exp re) 3) (pow (cos im) 3))
5.0ms	(cbrt (* (pow (exp re) 3) (pow (cos im) 3)))
3.0ms	(pow (exp re) 3)
2.0ms	(pow (cos im) 3)

series31.0ms (1.4%)

Counts

4 → 12

Calls

4 calls:

14.0ms	(* (pow (exp re) 3) (pow (cos im) 3))
7.0ms	(cbrt (* (pow (exp re) 3) (pow (cos im) 3)))
5.0ms	(pow (cos im) 3)
4.0ms	(pow (exp re) 3)

simplify50.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5095	1059

prune232.0ms (10.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	130	2	132

Merged error: 0b

Counts

132 → 2

regimes168.0ms (7.7%)

Accuracy

Total 0.0b remaining (37.6%)

Threshold costs 0.0b (37.6%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	5
1	6	5

end0.0ms (0%)

sample1.2s (54.3%)

Algorithm

1×

intervals

Results

353.0ms	1041×	body	1280	valid
201.0ms	5487×	body	80	valid
160.0ms	862×	body	640	valid
120.0ms	490×	body	1280	invalid
59.0ms	394×	body	640	invalid
46.0ms	405×	body	320	valid
23.0ms	215×	body	320	invalid
19.0ms	205×	body	160	valid
8.0ms	97×	body	160	invalid
6.0ms	148×	body	80	invalid

Details

analyze149.0ms (6.9%)

sample44.0ms (2%)

simplify2.0ms (0.1%)

prune6.0ms (0.3%)

localize5.0ms (0.2%)

rewrite5.0ms (0.2%)

series8.0ms (0.4%)

simplify55.0ms (2.6%)

prune29.0ms (1.3%)

localize8.0ms (0.4%)

rewrite15.0ms (0.7%)

series28.0ms (1.3%)

simplify29.0ms (1.3%)

prune91.0ms (4.2%)

localize11.0ms (0.5%)

rewrite23.0ms (1%)

series31.0ms (1.4%)

simplify50.0ms (2.3%)

prune232.0ms (10.7%)

regimes168.0ms (7.7%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample1.2s (54.3%)

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