Details

analyze136.0ms

Algorithm

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

sample38.0ms

Algorithm

intervals

Results

11.0ms	33×	body	1280	valid
7.0ms	184×	body	80	valid
4.0ms	22×	body	640	valid
3.0ms	13×	body	1280	invalid
2.0ms	12×	body	640	invalid
1.0ms	10×	body	160	valid
1.0ms	7×	body	320	valid
0.0ms	4×	body	160	invalid
0.0ms	2×	body	320	invalid
0.0ms	4×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	5
1	6	5

prune3.0ms

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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

Algorithm

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))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(* (exp re) (cos im))

simplify56.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4955	134
1	4955	134

prune26.0ms

Filtered

14 candidates to 21 candidates (-50.0%)

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

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos im)) (cbrt (cos im)))
0.3b	(cbrt (cos im))
0.3b	(cbrt (cos im))
0.3b	(cbrt (cos im))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt (cos im)) (cbrt (cos im)))
1.0ms	(cbrt (cos im))
1.0ms	(cbrt (cos im))
1.0ms	(cbrt (cos im))

series77.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (cbrt (cos im)) (cbrt (cos im)))
19.0ms	(cbrt (cos im))
16.0ms	(cbrt (cos im))
17.0ms	(cbrt (cos im))

simplify42.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5034	459

prune60.0ms

Filtered

50 candidates to 85 candidates (-70.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	85	3	88

Merged error: 0b

Counts

88 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (exp re) (cos im))
0.3b	(pow (* (exp re) (cos im)) 3)
0.4b	(cbrt (pow (* (exp re) (cos im)) 3))

rewrite13.0ms

Algorithm

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:

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

series30.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(* (exp re) (cos im))
15.0ms	(pow (* (exp re) (cos im)) 3)
7.0ms	(cbrt (pow (* (exp re) (cos im)) 3))

simplify29.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5221	453

prune59.0ms

Filtered

41 candidates to 66 candidates (-61.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	66	3	69

Merged error: 0b

Counts

69 → 3

regimes178.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	5
1	6	5

end0.0ms

analyze136.0ms

Algorithm

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

sample1.5s

Algorithm

intervals

Results

385.0ms	1032×	body	1280	valid
335.0ms	511×	body	1280	invalid
217.0ms	5536×	body	80	valid
158.0ms	799×	body	640	valid
70.0ms	412×	body	640	invalid
51.0ms	416×	body	320	valid
23.0ms	195×	body	320	invalid
18.0ms	217×	body	160	valid
8.0ms	100×	body	160	invalid
7.0ms	144×	body	80	invalid

Details

analyze136.0ms

sample38.0ms

simplify3.0ms

prune3.0ms

localize5.0ms

rewrite5.0ms

series9.0ms

simplify56.0ms

prune26.0ms

localize9.0ms

rewrite11.0ms

series77.0ms

simplify42.0ms

prune60.0ms

localize8.0ms

rewrite13.0ms

series30.0ms

simplify29.0ms

prune59.0ms

regimes178.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze136.0ms

sample1.5s

Profiling