Details

analyze139.0ms

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

sample22.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
1.0ms	15×	body	80	invalid

simplify126.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (124.0ms)

Iter	Nodes	Cost
0	5291	11

prune10.0ms

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: 6.3b

Counts

2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(* x.im (* x.im -3))
7.2b	(* 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:

5.0ms	(* x.im (* x.im -3))
6.0ms	(* x.re (* x.im (* x.im -3)))

series10.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(* x.im (* x.im -3))
7.0ms	(* x.re (* x.im (* x.im -3)))

simplify43.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5061	299

prune72.0ms

Filtered

22 candidates to 45 candidates (-104.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	39	6	45
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	40	7	47

Merged error: 0.0b

Counts

47 → 7

localize8.0ms

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

prune38.0ms

Filtered

10 candidates to 25 candidates (-150.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	25	7	32

Merged error: 0.0b

Counts

32 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x.re)
0.6b	(cbrt x.re)
0.6b	(cbrt x.re)
5.0b	(* (* (cbrt x.re) (cbrt x.re)) (* x.im (* (* x.im -3) (cbrt x.re))))

rewrite20.0ms

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))))

series80.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt x.re)
22.0ms	(cbrt x.re)
22.0ms	(cbrt x.re)
12.0ms	(* (* (cbrt x.re) (cbrt x.re)) (* x.im (* (* x.im -3) (cbrt x.re))))

simplify54.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4973	443
1	4973	443

prune90.0ms

Filtered

41 candidates to 79 candidates (-92.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	78	8	86

Merged error: 0.0b

Counts

86 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* x.re (* x.im x.im)) -3)
7.1b	(* x.re (* x.im x.im))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

7.0ms	(* (* x.re (* x.im x.im)) -3)
5.0ms	(* x.re (* x.im x.im))

series16.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(* (* x.re (* x.im x.im)) -3)
7.0ms	(* x.re (* x.im x.im))

simplify63.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5050	317

prune39.0ms

Filtered

23 candidates to 46 candidates (-100.0%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	46	8	54

Merged error: 0.0b

Counts

54 → 8

regimes119.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	13	11
1	13	11

end0.0ms

sample589.0ms

Algorithm

intervals

Results

430.0ms	8000×	body	80	valid
21.0ms	400×	body	80	invalid

Details

analyze139.0ms

sample22.0ms

simplify126.0ms

prune10.0ms

localize8.0ms

rewrite12.0ms

series10.0ms

simplify43.0ms

prune72.0ms

localize8.0ms

rewrite7.0ms

series7.0ms

simplify38.0ms

prune38.0ms

localize15.0ms

rewrite20.0ms

series80.0ms

simplify54.0ms

prune90.0ms

localize8.0ms

rewrite14.0ms

series16.0ms

simplify63.0ms

prune39.0ms

regimes119.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample589.0ms

Profiling