Details

analyze128.0ms

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
81.2%	18.7%	0.1%	5
81.2%	15.6%	3.2%	6
81.2%	15.6%	3.2%	7
81.2%	14%	4.8%	8
81.2%	14%	4.8%	9
81.2%	13.3%	5.6%	10
81.2%	13.3%	5.6%	11
81.2%	12.9%	6%	12
81.2%	12.9%	6%	13
81.2%	12.7%	6.1%	14

sample49.0ms

Algorithm

intervals

Results

13.0ms	38×	body	1280	valid
10.0ms	170×	body	80	valid
5.0ms	26×	body	640	valid
4.0ms	17×	body	1280	invalid
2.0ms	14×	body	320	invalid
1.0ms	9×	body	640	invalid
1.0ms	12×	body	320	valid
1.0ms	10×	body	160	valid
1.0ms	18×	body	80	invalid
1.0ms	7×	body	160	invalid

simplify2.0ms

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) (sin im))

rewrite6.0ms

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) (sin im))

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

(* (exp re) (sin im))

simplify46.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4950	136
1	4950	136

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

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp re))
0.0b	(sqrt (exp re))
0.0b	(* (sqrt (exp re)) (* (sin im) (sqrt (exp re))))
0.0b	(* (sin im) (sqrt (exp re)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
13×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
11×	`add-exp-log` `add-cbrt-cube`
9×	`associate-l`
8×	`sqrt-pow1`
7×	`associate-r`
6×	`exp-prod`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

2.0ms	(sqrt (exp re))
2.0ms	(sqrt (exp re))
10.0ms	(* (sqrt (exp re)) (* (sin im) (sqrt (exp re))))
6.0ms	(* (sin im) (sqrt (exp re)))

series23.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt (exp re))
3.0ms	(sqrt (exp re))
8.0ms	(* (sqrt (exp re)) (* (sin im) (sqrt (exp re))))
9.0ms	(* (sin im) (sqrt (exp re)))

simplify69.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4801	517
1	4801	517

prune66.0ms

Filtered

59 candidates to 87 candidates (-47.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	87	3	90

Merged error: 0b

Counts

90 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (* (exp re) (sin im))) (cbrt (* (exp re) (sin im))))
0.4b	(cbrt (* (exp re) (sin im)))
0.4b	(cbrt (* (exp re) (sin im)))
0.4b	(cbrt (* (exp re) (sin im)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

5.0ms	(* (cbrt (* (exp re) (sin im))) (cbrt (* (exp re) (sin im))))
3.0ms	(cbrt (* (exp re) (sin im)))
4.0ms	(cbrt (* (exp re) (sin im)))
4.0ms	(cbrt (* (exp re) (sin im)))

series77.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (cbrt (* (exp re) (sin im))) (cbrt (* (exp re) (sin im))))
17.0ms	(cbrt (* (exp re) (sin im)))
17.0ms	(cbrt (* (exp re) (sin im)))
17.0ms	(cbrt (* (exp re) (sin im)))

simplify49.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5248	482

prune53.0ms

Filtered

47 candidates to 70 candidates (-48.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	70	3	73

Merged error: 0b

Counts

73 → 3

regimes183.0ms

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

sample1.3s

Algorithm

intervals

Results

358.0ms	1015×	body	1280	valid
242.0ms	5574×	body	80	valid
156.0ms	790×	body	640	valid
124.0ms	490×	body	1280	invalid
64.0ms	394×	body	640	invalid
49.0ms	400×	body	320	valid
37.0ms	794×	body	80	invalid
23.0ms	199×	body	320	invalid
19.0ms	221×	body	160	valid
9.0ms	107×	body	160	invalid

Details

analyze128.0ms

sample49.0ms

simplify2.0ms

prune3.0ms

localize5.0ms

rewrite6.0ms

series8.0ms

simplify46.0ms

prune26.0ms

localize10.0ms

rewrite22.0ms

series23.0ms

simplify69.0ms

prune66.0ms

localize9.0ms

rewrite19.0ms

series77.0ms

simplify49.0ms

prune53.0ms

regimes183.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

Profiling