Details

analyze170.0ms

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

sample52.0ms

Algorithm

intervals

Results

15.0ms	42×	body	1280	valid
11.0ms	172×	body	80	valid
4.0ms	17×	body	1280	invalid
4.0ms	21×	body	640	valid
3.0ms	16×	body	640	invalid
2.0ms	15×	body	320	valid
1.0ms	8×	body	320	invalid
1.0ms	16×	body	80	invalid
1.0ms	6×	body	160	valid
0.0ms	2×	body	160	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

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))

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

(* (exp re) (sin im))

simplify170.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	87	100
1	289	86
2	1099	86
3	4640	86
4	5001	86

prune23.0ms

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: 0.0b

Counts

22 → 3

localize11.0ms

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
13×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
12×	`associate-l`
11×	`add-exp-log` `add-cbrt-cube`
8×	`sqrt-pow1`
6×	`exp-prod`
4×	`associate-r` `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))
6.0ms	(* (sqrt (exp re)) (sin im))
9.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))

series23.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify61.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 3 (56.0ms)

Iter	Nodes	Cost
0	173	428
1	642	372
2	2307	370
3	5001	359

prune68.0ms

Filtered

59 candidates to 87 candidates (-47.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	86	4	90

Merged error: 0b

Counts

90 → 4

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

2.0ms	(sqrt (exp re))
2.0ms	(sqrt (exp re))
6.0ms	(* (sqrt (exp re)) (sin im))
17.0ms	(* (sqrt (sqrt (exp re))) (* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (sin im))))

series24.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt (exp re))
3.0ms	(sqrt (exp re))
10.0ms	(* (sqrt (exp re)) (sin im))
9.0ms	(* (sqrt (sqrt (exp re))) (* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (sin im))))

simplify122.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (115.0ms)

Iter	Nodes	Cost
0	227	613
1	876	483
2	4542	449
3	5001	445

prune74.0ms

Filtered

61 candidates to 93 candidates (-52.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	93	4	97

Merged error: 0b

Counts

97 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (sin im))
0.0b	(sqrt (sin im))
0.1b	(* (* (exp re) (sqrt (sin im))) (sqrt (sin im)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 47

Calls

3 calls:

3.0ms	(sqrt (sin im))
1.0ms	(sqrt (sin im))
9.0ms	(* (* (exp re) (sqrt (sin im))) (sqrt (sin im)))

series15.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify76.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	185	296
1	733	248
2	2964	238
3	5002	236

prune151.0ms

Filtered

35 candidates to 56 candidates (-60.0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	56	4	60

Merged error: 0b

Counts

60 → 4

regimes204.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3

end0.0ms

analyze145.0ms

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

sample1.4s

Algorithm

intervals

Results

403.0ms	1007×	body	1280	valid
262.0ms	5528×	body	80	valid
188.0ms	842×	body	640	valid
140.0ms	494×	body	1280	invalid
84.0ms	410×	body	640	invalid
60.0ms	440×	body	320	valid
37.0ms	780×	body	80	invalid
29.0ms	214×	body	320	invalid
18.0ms	183×	body	160	valid
9.0ms	96×	body	160	invalid

Details

analyze170.0ms

sample52.0ms

simplify3.0ms

prune3.0ms

localize6.0ms

rewrite5.0ms

series10.0ms

simplify170.0ms

prune23.0ms

localize11.0ms

rewrite21.0ms

series23.0ms

simplify61.0ms

prune68.0ms

localize10.0ms

rewrite30.0ms

series24.0ms

simplify122.0ms

prune74.0ms

localize7.0ms

rewrite15.0ms

series15.0ms

simplify76.0ms

prune151.0ms

regimes204.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze145.0ms

sample1.4s

Profiling