Details

analyze359.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
50%	50%	0.1%	5
50%	50%	0.1%	6
50%	37.5%	12.6%	7
50%	37.5%	12.6%	8
50%	31.2%	18.8%	9
50%	31.2%	18.8%	10
50%	28.1%	22%	11
50%	28.1%	22%	12
50%	26.5%	23.5%	13
50%	26.5%	23.5%	14

sample90.0ms

Algorithm

intervals

Results

20.0ms	41×	body	1280	valid
15.0ms	43×	body	640	valid
15.0ms	47×	body	1280	invalid
10.0ms	43×	body	640	invalid
8.0ms	144×	body	80	valid
4.0ms	25×	body	320	invalid
3.0ms	20×	body	320	valid
2.0ms	15×	body	160	invalid
1.0ms	8×	body	160	valid
1.0ms	10×	body	80	invalid

simplify185.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	7
1	58	7
2	95	7
3	209	7
4	459	7
5	596	7
6	1198	7
7	1931	7
8	5001	7

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

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))
0.0b	(+ (exp (neg im)) (exp im))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
4×	`associate-r` `add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3-+` `associate-*r/` `flip-+` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-l` `sum-log` `*-commutative`

Counts

2 → 35

Calls

2 calls:

9.0ms	(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))
5.0ms	(+ (exp (neg im)) (exp im))

series20.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))
5.0ms	(+ (exp (neg im)) (exp im))

simplify37.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	248	347
1	1228	286
2	5001	284

prune42.0ms

Filtered

28 candidates to 41 candidates (-46.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	40	1	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	2	42

Merged error: 0b

Counts

42 → 2

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))))
0.3b	(cbrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))))
0.3b	(cbrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))))
0.3b	(cbrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

8.0ms	(* (cbrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))))
8.0ms	(cbrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))))
11.0ms	(cbrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))))
15.0ms	(cbrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))))

series142.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (cbrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))) (cbrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im)))))
30.0ms	(cbrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))))
33.0ms	(cbrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))))
31.0ms	(cbrt (* (* 0.5 (cos re)) (+ (exp (neg im)) (exp im))))

simplify45.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	309	1303
1	1209	1166
2	5001	1094

prune145.0ms

Filtered

63 candidates to 84 candidates (-33.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	84	2	86

Merged error: 0b

Counts

86 → 2

regimes233.0ms

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	13	7
1	13	7

end0.0ms

analyze383.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
50%	50%	0.1%	5
50%	50%	0.1%	6
50%	37.5%	12.6%	7
50%	37.5%	12.6%	8
50%	31.2%	18.8%	9
50%	31.2%	18.8%	10
50%	28.1%	22%	11
50%	28.1%	22%	12
50%	26.5%	23.5%	13
50%	26.5%	23.5%	14

sample2.9s

Algorithm

intervals

Results

821.0ms	1458×	body	1280	valid
528.0ms	1480×	body	1280	invalid
358.0ms	1210×	body	640	valid
293.0ms	1206×	body	640	invalid
264.0ms	4375×	body	80	valid
115.0ms	620×	body	320	valid
114.0ms	660×	body	320	invalid
42.0ms	337×	body	160	valid
40.0ms	338×	body	160	invalid
37.0ms	534×	body	80	invalid

Details

analyze359.0ms

sample90.0ms

simplify185.0ms

prune3.0ms

localize9.0ms

rewrite15.0ms

series20.0ms

simplify37.0ms

prune42.0ms

localize20.0ms

rewrite45.0ms

series142.0ms

simplify45.0ms

prune145.0ms

regimes233.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze383.0ms

sample2.9s

Profiling