Details

analyze140.0ms

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

sample45.0ms

Algorithm

intervals

Results

13.0ms	33×	body	1280	valid
8.0ms	182×	body	80	valid
5.0ms	24×	body	640	valid
4.0ms	14×	body	1280	invalid
3.0ms	16×	body	640	invalid
1.0ms	10×	body	320	valid
1.0ms	20×	body	80	invalid
1.0ms	7×	body	160	valid
1.0ms	5×	body	320	invalid
0.0ms	4×	body	160	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

localize6.0ms

Local error

Found 1 expressions with local error:

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

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(* (exp re) (sin im))

simplify49.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4950	136
1	4950	136

prune25.0ms

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

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (exp re)) (* (sin im) (sqrt (exp re))))
0.0b	(* (sin im) (sqrt (exp re)))
0.2b	(sqrt (exp re))
0.2b	(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:

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

series23.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* (sqrt (exp re)) (* (sin im) (sqrt (exp re))))
10.0ms	(* (sin im) (sqrt (exp re)))
3.0ms	(sqrt (exp re))
3.0ms	(sqrt (exp re))

simplify73.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4801	517
1	4801	517

prune70.0ms

Filtered

61 candidates to 87 candidates (-42.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	86	3	89

Merged error: 0b

Counts

89 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (sqrt (exp re)) 3)
0.2b	(sqrt (exp re))
0.2b	(sqrt (exp re))
0.3b	(cbrt (pow (sqrt (exp re)) 3))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity`
18×	`cbrt-prod` `sqrt-prod`
12×	`unpow-prod-down` `sqrt-pow1` `cube-prod`
9×	`exp-prod`
8×	`pow1`
6×	`pow-pow`
5×	`add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`pow-unpow` `pow1/2`
2×	`cube-mult` `rem-sqrt-square` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow1/3` `pow-exp` `sqrt-pow2` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 94

Calls

4 calls:

4.0ms	(pow (sqrt (exp re)) 3)
2.0ms	(sqrt (exp re))
2.0ms	(sqrt (exp re))
4.0ms	(cbrt (pow (sqrt (exp re)) 3))

series14.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(pow (sqrt (exp re)) 3)
3.0ms	(sqrt (exp re))
3.0ms	(sqrt (exp re))
3.0ms	(cbrt (pow (sqrt (exp re)) 3))

simplify55.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4978	521
1	4978	521

prune90.0ms

Filtered

59 candidates to 106 candidates (-79.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	106	3	109

Merged error: 0b

Counts

109 → 3

regimes195.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

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

360.0ms	988×	body	1280	valid
241.0ms	5492×	body	80	valid
179.0ms	866×	body	640	valid
131.0ms	505×	body	1280	invalid
70.0ms	417×	body	640	invalid
60.0ms	437×	body	320	valid
36.0ms	753×	body	80	invalid
24.0ms	201×	body	320	invalid
23.0ms	217×	body	160	valid
7.0ms	88×	body	160	invalid

Details

analyze140.0ms

sample45.0ms

simplify3.0ms

prune3.0ms

localize6.0ms

rewrite5.0ms

series9.0ms

simplify49.0ms

prune25.0ms

localize8.0ms

rewrite22.0ms

series23.0ms

simplify73.0ms

prune70.0ms

localize10.0ms

rewrite14.0ms

series14.0ms

simplify55.0ms

prune90.0ms

regimes195.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

Profiling