Details

analyze377.0ms

Algorithm

sampling

Space saved by range analysis: 0.097632%

Space saved by search: 12.390307%

Guaranteed chance to sample good point: 85.523385%

sample42.0ms

Algorithm

intervals

Results

10.0ms	29×	body	1280	valid
7.0ms	194×	body	80	valid
5.0ms	21×	body	1280	invalid
3.0ms	16×	body	640	valid
3.0ms	19×	body	640	invalid
1.0ms	13×	body	320	valid
1.0ms	5×	body	320	invalid
0.0ms	4×	body	160	valid
0.0ms	4×	body	160	invalid
0.0ms	2×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3

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))

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) (cos im))

series8.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(* (exp re) (cos im))

simplify144.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	79	98
1	264	85
2	1020	85
3	4106	85
4	5002	85

prune21.0ms

Filtered

14 candidates to 21 candidates (-50.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	20	1	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	2	22

Merged error: 0.0b

Counts

22 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-l`
11×	`add-sqr-sqrt`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`*-commutative` `add-log-exp` `unswap-sqr`

Counts

2 → 43

Calls

2 calls:

6.0ms	(* (sqrt (exp re)) (cos im))
9.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))

series19.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(* (sqrt (exp re)) (cos im))
10.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))

simplify54.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (50.0ms)

Iter	Nodes	Cost
0	142	314
1	559	262
2	2050	262
3	5001	256

prune38.0ms

Filtered

31 candidates to 49 candidates (-58.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	48	1	49
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	49	2	51

Merged error: 0b

Counts

51 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

6.0ms	(* (sqrt (exp re)) (cos im))
8.0ms	(* (sqrt (exp re)) (cbrt (pow (* (sqrt (exp re)) (cos im)) 3)))
7.0ms	(pow (* (sqrt (exp re)) (cos im)) 3)
2.0ms	(cbrt (pow (* (sqrt (exp re)) (cos im)) 3))

series41.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* (sqrt (exp re)) (cos im))
7.0ms	(* (sqrt (exp re)) (cbrt (pow (* (sqrt (exp re)) (cos im)) 3)))
15.0ms	(pow (* (sqrt (exp re)) (cos im)) 3)
9.0ms	(cbrt (pow (* (sqrt (exp re)) (cos im)) 3))

simplify41.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	231	791
1	1023	737
2	5002	719

prune105.0ms

Filtered

73 candidates to 107 candidates (-46.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	107	2	109

Merged error: 0b

Counts

109 → 2

regimes175.0ms

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	3
1	6	3

end0.0ms

analyze380.0ms

Algorithm

sampling

Space saved by range analysis: 0.097632%

Space saved by search: 12.390307%

Guaranteed chance to sample good point: 85.523385%

sample1.2s

Algorithm

intervals

Results

350.0ms	1031×	body	1280	valid
210.0ms	5561×	body	80	valid
153.0ms	804×	body	640	valid
113.0ms	465×	body	1280	invalid
63.0ms	411×	body	640	invalid
47.0ms	408×	body	320	valid
26.0ms	182×	body	320	invalid
18.0ms	196×	body	160	valid
7.0ms	94×	body	160	invalid
5.0ms	111×	body	80	invalid

Details

analyze377.0ms

sample42.0ms

simplify3.0ms

prune3.0ms

localize5.0ms

rewrite6.0ms

series8.0ms

simplify144.0ms

prune21.0ms

localize7.0ms

rewrite16.0ms

series19.0ms

simplify54.0ms

prune38.0ms

localize10.0ms

rewrite27.0ms

series41.0ms

simplify41.0ms

prune105.0ms

regimes175.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze380.0ms

sample1.2s

Profiling