Details

analyze128.0ms

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
25%	74.9%	0.1%	5
25%	62.4%	12.6%	6
31.2%	50%	18.8%	7
40.6%	37.5%	22%	8
45.3%	26.5%	28.2%	9
46.8%	19.5%	33.7%	10
48.8%	14%	37.2%	11
51.7%	10.1%	38.1%	12
52.8%	7.1%	40.1%	13
53.3%	5.1%	41.6%	14

sample19.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
0.0ms	7×	body	80	invalid

simplify118.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (116.0ms)

Iter	Nodes	Cost
0	5291	11

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 7.0b

Counts

2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x.im (* x.im -3))
7.7b	(* x.re (* x.im (* x.im -3)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

4.0ms	(* x.im (* x.im -3))
6.0ms	(* x.re (* x.im (* x.im -3)))

series13.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(* x.im (* x.im -3))
10.0ms	(* x.re (* x.im (* x.im -3)))

simplify42.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5061	299

prune57.0ms

Filtered

22 candidates to 45 candidates (-104.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	40	5	45
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	40	7	47

Merged error: 0.0b

Counts

47 → 7

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x.re x.im) (* x.im -3))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l` `-commutative` `add-log-exp`

Counts

1 → 22

Calls

1 calls:

6.0ms

(* (* x.re x.im) (* x.im -3))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(* (* x.re x.im) (* x.im -3))

simplify38.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5282	193

prune30.0ms

Filtered

10 candidates to 25 candidates (-150.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	26	6	32

Merged error: 0.0b

Counts

32 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x.re)
0.6b	(cbrt x.re)
0.6b	(cbrt x.re)
4.5b	(* (* (cbrt x.re) (cbrt x.re)) (* x.im (* (* x.im -3) (cbrt x.re))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

36×	`pow1` `add-exp-log`
24×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 67

Calls

4 calls:

1.0ms	(cbrt x.re)
1.0ms	(cbrt x.re)
1.0ms	(cbrt x.re)
14.0ms	(* (* (cbrt x.re) (cbrt x.re)) (* x.im (* (* x.im -3) (cbrt x.re))))

series78.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt x.re)
21.0ms	(cbrt x.re)
21.0ms	(cbrt x.re)
11.0ms	(* (* (cbrt x.re) (cbrt x.re)) (* x.im (* (* x.im -3) (cbrt x.re))))

simplify52.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4973	443
1	4973	443

prune74.0ms

Filtered

41 candidates to 79 candidates (-92.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	78	7	85

Merged error: 0.0b

Counts

85 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (cbrt x.re))
0.7b	(cbrt (cbrt x.re))
0.7b	(cbrt (cbrt x.re))
4.5b	(* (* (cbrt x.re) (cbrt x.re)) (* x.im (* (* x.im -3) (* (* (cbrt (cbrt x.re)) (cbrt (cbrt x.re))) (cbrt (cbrt x.re))))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

88×	`pow1` `add-exp-log`
68×	`pow-prod-down` `prod-exp` `cbrt-unprod`
56×	`add-cbrt-cube`
27×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 100

Calls

4 calls:

2.0ms	(cbrt (cbrt x.re))
2.0ms	(cbrt (cbrt x.re))
2.0ms	(cbrt (cbrt x.re))
29.0ms	(* (* (cbrt x.re) (cbrt x.re)) (* x.im (* (* x.im -3) (* (* (cbrt (cbrt x.re)) (cbrt (cbrt x.re))) (cbrt (cbrt x.re))))))

series103.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(cbrt (cbrt x.re))
33.0ms	(cbrt (cbrt x.re))
29.0ms	(cbrt (cbrt x.re))
11.0ms	(* (* (cbrt x.re) (cbrt x.re)) (* x.im (* (* x.im -3) (* (* (cbrt (cbrt x.re)) (cbrt (cbrt x.re))) (cbrt (cbrt x.re))))))

simplify63.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4961	766
1	4961	766

prune84.0ms

Filtered

53 candidates to 112 candidates (-111.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	110	2	112
Fresh	0	3	3
Picked	1	0	1
Done	1	2	3
Total	112	7	119

Merged error: 0.0b

Counts

119 → 7

regimes101.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	11
1	13	11

end0.0ms

sample526.0ms

Algorithm

intervals

Results

380.0ms	8000×	body	80	valid
19.0ms	405×	body	80	invalid

Details

analyze128.0ms

sample19.0ms

simplify118.0ms

prune9.0ms

localize8.0ms

rewrite12.0ms

series13.0ms

simplify42.0ms

prune57.0ms

localize7.0ms

rewrite7.0ms

series7.0ms

simplify38.0ms

prune30.0ms

localize14.0ms

rewrite19.0ms

series78.0ms

simplify52.0ms

prune74.0ms

localize17.0ms

rewrite40.0ms

series103.0ms

simplify63.0ms

prune84.0ms

regimes101.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample526.0ms

Profiling