Details

analyze234.0ms

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

sample61.0ms

Algorithm

intervals

Results

13.0ms	27×	body	1280	valid
12.0ms	187×	body	80	valid
7.0ms	27×	body	640	valid
4.0ms	11×	body	1280	invalid
2.0ms	11×	body	640	invalid
2.0ms	10×	body	320	valid
2.0ms	28×	body	80	invalid
1.0ms	6×	body	320	invalid
1.0ms	5×	body	160	valid
0.0ms	3×	body	160	invalid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	7	8
1	7	8

prune6.0ms

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

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite19.0ms

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:

18.0ms

(* (exp re) (sin im))

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

(* (exp re) (sin im))

simplify116.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	4951	222
1	4951	222

prune73.0ms

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

localize31.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

13.0ms	(* (sin im) (sqrt (exp re)))
28.0ms	(* (sqrt (exp re)) (* (sin im) (sqrt (exp re))))

series40.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(* (sin im) (sqrt (exp re)))
17.0ms	(* (sqrt (exp re)) (* (sin im) (sqrt (exp re))))

simplify130.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	4940	595
1	4940	595

prune69.0ms

Filtered

32 candidates to 49 candidates (-53.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	49	3	52

Merged error: 0b

Counts

52 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
14×	`add-sqr-sqrt`
12×	`pow1/2`
10×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-up`
8×	`add-cbrt-cube`
7×	`add-exp-log` `associate-r` `associate-l`
6×	`sqrt-prod` `pow-sqr`
4×	`swap-sqr` `add-log-exp`
2×	`prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 89

Calls

4 calls:

10.0ms	(* (exp re) (sin im))
7.0ms	(sqrt (* (exp re) (sin im)))
7.0ms	(sqrt (* (exp re) (sin im)))
25.0ms	(* (sqrt (* (exp re) (sin im))) (sqrt (* (exp re) (sin im))))

series75.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* (exp re) (sin im))
21.0ms	(sqrt (* (exp re) (sin im)))
22.0ms	(sqrt (* (exp re) (sin im)))
17.0ms	(* (sqrt (* (exp re) (sin im))) (sqrt (* (exp re) (sin im))))

simplify134.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	5011	909

prune119.0ms

Filtered

53 candidates to 101 candidates (-90.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	101	3	104

Merged error: 0b

Counts

104 → 3

regimes308.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	7	8

end0.0ms

sample2.1s

Algorithm

intervals

Results

539.0ms	1001×	body	1280	valid
421.0ms	5499×	body	80	valid
257.0ms	805×	body	640	valid
192.0ms	501×	body	1280	invalid
115.0ms	397×	body	640	invalid
109.0ms	466×	body	320	valid
56.0ms	741×	body	80	invalid
43.0ms	212×	body	320	invalid
39.0ms	229×	body	160	valid
15.0ms	102×	body	160	invalid

Details

analyze234.0ms

sample61.0ms

simplify13.0ms

prune6.0ms

localize10.0ms

rewrite19.0ms

series19.0ms

simplify116.0ms

prune73.0ms

localize31.0ms

rewrite43.0ms

series40.0ms

simplify130.0ms

prune69.0ms

localize14.0ms

rewrite53.0ms

series75.0ms

simplify134.0ms

prune119.0ms

regimes308.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample2.1s

Profiling