Details

analyze1.1s

Algorithm

sampling

Space saved by range analysis: 0.097632%

Space saved by search: 12.195185%

Guaranteed chance to sample good point: 71.111111%

sample102.0ms

Algorithm

intervals

Results

27.0ms	51×	body	1280	valid
16.0ms	44×	body	1280	invalid
13.0ms	44×	body	640	valid
10.0ms	40×	body	640	invalid
7.0ms	122×	body	80	valid
5.0ms	31×	body	320	valid
5.0ms	81×	body	80	invalid
3.0ms	16×	body	320	invalid
2.0ms	13×	body	160	invalid
1.0ms	8×	body	160	valid

simplify109.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	7
1	62	7
2	108	7
3	177	7
4	279	7
5	770	7
6	1075	7
7	1599	7
8	3585	7
9	4712	7
10	5001	7

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 2 expressions with local error:

0.0b	(+ (exp (- 0.0 im)) (exp im))
0.0b	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

rewrite18.0ms

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:

6.0ms	(+ (exp (- 0.0 im)) (exp im))
11.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series19.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(+ (exp (- 0.0 im)) (exp im))
15.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify38.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	265	349
1	1200	295
2	5001	294

prune60.0ms

Filtered

28 candidates to 41 candidates (-46.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	3	42

Merged error: 0b

Counts

42 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* 0.5 (sin re)) (* (cbrt (+ (exp (- 0.0 im)) (exp im))) (cbrt (+ (exp (- 0.0 im)) (exp im)))))
1.0b	(cbrt (+ (exp (- 0.0 im)) (exp im)))
1.0b	(cbrt (+ (exp (- 0.0 im)) (exp im)))
1.0b	(cbrt (+ (exp (- 0.0 im)) (exp im)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
16×	`pow1` `add-exp-log`
13×	`*-un-lft-identity`
12×	`cbrt-prod` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3-+` `flip-+`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`frac-times` `add-log-exp`
3×	`pow1/3` `distribute-lft-out`
2×	`associate-*l/`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 72

Calls

4 calls:

21.0ms	(* (* 0.5 (sin re)) (* (cbrt (+ (exp (- 0.0 im)) (exp im))) (cbrt (+ (exp (- 0.0 im)) (exp im)))))
9.0ms	(cbrt (+ (exp (- 0.0 im)) (exp im)))
7.0ms	(cbrt (+ (exp (- 0.0 im)) (exp im)))
7.0ms	(cbrt (+ (exp (- 0.0 im)) (exp im)))

series100.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (* 0.5 (sin re)) (* (cbrt (+ (exp (- 0.0 im)) (exp im))) (cbrt (+ (exp (- 0.0 im)) (exp im)))))
24.0ms	(cbrt (+ (exp (- 0.0 im)) (exp im)))
22.0ms	(cbrt (+ (exp (- 0.0 im)) (exp im)))
22.0ms	(cbrt (+ (exp (- 0.0 im)) (exp im)))

simplify41.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	366	1057
1	1260	922
2	5001	897

prune207.0ms

Filtered

60 candidates to 84 candidates (-40.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	84	3	87

Merged error: 0b

Counts

87 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (- 0.0 im)) (exp im))
0.0b	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
0.4b	(pow (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) 3)
16.7b	(cbrt (pow (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) 3))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log` `add-cbrt-cube`
11×	`*-un-lft-identity`
8×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`cube-div` `flip3-+` `associate-r` `flip-+`
3×	`pow-unpow` `pow-pow` `pow-exp` `rem-cube-cbrt`
2×	`cube-mult` `unpow-prod-down` `cbrt-div` `unpow3` `cube-prod` `distribute-lft-out` `sqr-pow`
1×	`+-commutative` `distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `pow1/3` `associate-l` `sum-log` `*-commutative` `rem-cbrt-cube`

Counts

4 → 81

Calls

4 calls:

6.0ms	(+ (exp (- 0.0 im)) (exp im))
11.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
12.0ms	(pow (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) 3)
3.0ms	(cbrt (pow (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) 3))

series59.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+ (exp (- 0.0 im)) (exp im))
14.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
28.0ms	(pow (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) 3)
14.0ms	(cbrt (pow (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))) 3))

simplify67.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	410	825
1	2039	787
2	5003	786

prune135.0ms

Filtered

63 candidates to 93 candidates (-47.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	93	3	96

Merged error: 0b

Counts

96 → 3

regimes270.0ms

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	14	7
1	14	7

end0.0ms

analyze1.1s

Algorithm

sampling

Space saved by range analysis: 0.097632%

Space saved by search: 12.195185%

Guaranteed chance to sample good point: 71.111111%

sample3.0s

Algorithm

intervals

Results

842.0ms	1550×	body	1280	valid
496.0ms	1423×	body	1280	invalid
359.0ms	1247×	body	640	valid
299.0ms	1225×	body	640	invalid
268.0ms	4310×	body	80	valid
151.0ms	2352×	body	80	invalid
111.0ms	600×	body	320	valid
103.0ms	590×	body	320	invalid
38.0ms	313×	body	160	invalid
36.0ms	293×	body	160	valid

Details

analyze1.1s

sample102.0ms

simplify109.0ms

prune6.0ms

localize10.0ms

rewrite18.0ms

series19.0ms

simplify38.0ms

prune60.0ms

localize14.0ms

rewrite46.0ms

series100.0ms

simplify41.0ms

prune207.0ms

localize13.0ms

rewrite35.0ms

series59.0ms

simplify67.0ms

prune135.0ms

regimes270.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze1.1s

sample3.0s

Profiling