Details

analyze138.0ms

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
74.9%	25%	0.1%	5
74.9%	18.7%	6.3%	6
74.9%	18.7%	6.3%	7
74.9%	15.6%	9.5%	8
74.9%	15.6%	9.5%	9
74.9%	14%	11%	10
74.9%	14%	11%	11
74.9%	13.3%	11.8%	12
74.9%	13.3%	11.8%	13
74.9%	12.9%	12.2%	14

sample42.0ms

Algorithm

intervals

Results

10.0ms	26×	body	1280	valid
7.0ms	183×	body	80	valid
5.0ms	20×	body	1280	invalid
5.0ms	24×	body	640	valid
2.0ms	13×	body	640	invalid
1.0ms	12×	body	320	valid
1.0ms	11×	body	160	valid
1.0ms	6×	body	320	invalid
1.0ms	7×	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	5
1	6	5

prune4.0ms

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

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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:

8.0ms

(* (exp re) (cos im))

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

(* (exp re) (cos im))

simplify56.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4955	134
1	4955	134

prune29.0ms

Filtered

14 candidates to 21 candidates (-50.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	18	3	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	4	22

Merged error: 0b

Counts

22 → 4

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(exp (exp re))
0.1b	(pow (exp (exp re)) (cos im))
0.2b	(log (pow (exp (exp re)) (cos im)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`log-prod`
6×	`unpow-prod-down` `exp-prod`
4×	`pow1` `add-exp-log` `pow-pow` `add-log-exp`
3×	`pow-unpow` `rem-log-exp` `add-cbrt-cube`
2×	`pow-to-exp` `pow-exp` `sqr-pow`
1×	`log-pow` `rem-exp-log`

Counts

3 → 49

Calls

3 calls:

2.0ms	(exp (exp re))
4.0ms	(pow (exp (exp re)) (cos im))
3.0ms	(log (pow (exp (exp re)) (cos im)))

series37.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(exp (exp re))
14.0ms	(pow (exp (exp re)) (cos im))
16.0ms	(log (pow (exp (exp re)) (cos im)))

simplify41.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4922	403
1	4922	403

prune55.0ms

Filtered

35 candidates to 58 candidates (-65.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	58	4	62

Merged error: 0b

Counts

62 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (* (exp re) (cos im))) (cbrt (* (exp re) (cos im))))
0.2b	(cbrt (* (exp re) (cos im)))
0.2b	(cbrt (* (exp re) (cos im)))
0.2b	(cbrt (* (exp re) (cos im)))

rewrite16.0ms

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) (cos im))) (cbrt (* (exp re) (cos im))))
3.0ms	(cbrt (* (exp re) (cos im)))
3.0ms	(cbrt (* (exp re) (cos im)))
3.0ms	(cbrt (* (exp re) (cos im)))

series75.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (cbrt (* (exp re) (cos im))) (cbrt (* (exp re) (cos im))))
16.0ms	(cbrt (* (exp re) (cos im)))
16.0ms	(cbrt (* (exp re) (cos im)))
16.0ms	(cbrt (* (exp re) (cos im)))

simplify38.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5003	469

prune59.0ms

Filtered

47 candidates to 70 candidates (-48.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	70	4	74

Merged error: 0b

Counts

74 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ re (log (cos im)))
0.0b	(exp (+ re (log (cos im))))
2.5b	(log (cos im))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
6×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `log-prod` `add-log-exp`
5×	`exp-prod`
4×	`add-exp-log` `distribute-lft-out`
3×	`associate-+r+` `log-pow` `add-cbrt-cube`
2×	`sum-log` `rem-exp-log`
1×	`+-commutative` `flip3-+` `rem-log-exp` `exp-sum` `flip-+`

Counts

3 → 43

Calls

3 calls:

4.0ms	(+ re (log (cos im)))
4.0ms	(exp (+ re (log (cos im))))
1.0ms	(log (cos im))

series24.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(+ re (log (cos im)))
7.0ms	(exp (+ re (log (cos im))))
10.0ms	(log (cos im))

simplify90.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4854	308
1	4854	308

prune49.0ms

Filtered

35 candidates to 52 candidates (-48.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	52	4	56

Merged error: 0b

Counts

56 → 4

regimes221.0ms

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

sample1.2s

Algorithm

intervals

Results

352.0ms	992×	body	1280	valid
226.0ms	5531×	body	80	valid
166.0ms	853×	body	640	valid
133.0ms	501×	body	1280	invalid
70.0ms	421×	body	640	invalid
50.0ms	403×	body	320	valid
27.0ms	207×	body	320	invalid
23.0ms	221×	body	160	valid
8.0ms	101×	body	160	invalid
7.0ms	151×	body	80	invalid

Details

analyze138.0ms

sample42.0ms

simplify3.0ms

prune4.0ms

localize9.0ms

rewrite9.0ms

series14.0ms

simplify56.0ms

prune29.0ms

localize11.0ms

rewrite9.0ms

series37.0ms

simplify41.0ms

prune55.0ms

localize11.0ms

rewrite16.0ms

series75.0ms

simplify38.0ms

prune59.0ms

localize7.0ms

rewrite10.0ms

series24.0ms

simplify90.0ms

prune49.0ms

regimes221.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.2s

Profiling