Details

analyze55.0ms

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
37.5%	50%	12.6%	6
50%	37.5%	12.6%	7
56.2%	25%	18.8%	8
62.4%	18.7%	18.8%	9
65.6%	12.5%	22%	10
68.7%	9.4%	22%	11
70.2%	6.2%	23.5%	12
71.8%	4.7%	23.5%	13
72.6%	3.1%	24.3%	14

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	34	7
1	34	7

prune7.0ms

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: 0.1b

Counts

2 → 2

localize4.0ms

Local error

Found 2 expressions with local error:

0.2b	(* x (* x (* 3.0 y)))
0.4b	(* x (* 3.0 y))

rewrite11.0ms

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:

6.0ms	(* x (* x (* 3.0 y)))
4.0ms	(* x (* 3.0 y))

series7.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(* x (* x (* 3.0 y)))
3.0ms	(* x (* 3.0 y))

simplify36.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5102	305

prune53.0ms

Filtered

22 candidates to 45 candidates (-104.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	39	6	45
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	39	8	47

Merged error: 0.0b

Counts

47 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (* 3.0 y))) (cbrt (* x (* 3.0 y))))
9.3b	(cbrt (* x (* 3.0 y)))
9.3b	(cbrt (* x (* 3.0 y)))
9.3b	(cbrt (* x (* 3.0 y)))

rewrite17.0ms

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 (* x (* 3.0 y))) (cbrt (* x (* 3.0 y))))
3.0ms	(cbrt (* x (* 3.0 y)))
3.0ms	(cbrt (* x (* 3.0 y)))
4.0ms	(cbrt (* x (* 3.0 y)))

series78.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (cbrt (* x (* 3.0 y))) (cbrt (* x (* 3.0 y))))
16.0ms	(cbrt (* x (* 3.0 y)))
17.0ms	(cbrt (* x (* 3.0 y)))
17.0ms	(cbrt (* x (* 3.0 y)))

simplify33.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5050	509

prune117.0ms

Filtered

51 candidates to 70 candidates (-37.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	70	8	78

Merged error: 0.0b

Counts

78 → 8

localize4.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (* x 3.0) x)
10.8b	(* (* (* x 3.0) x) y)

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-r`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
2×	`associate-l` `*-commutative` `add-log-exp`

Counts

2 → 39

Calls

2 calls:

4.0ms	(* (* x 3.0) x)
6.0ms	(* (* (* x 3.0) x) y)

series7.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(* (* x 3.0) x)
4.0ms	(* (* (* x 3.0) x) y)

simplify43.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5209	307

prune48.0ms

Filtered

24 candidates to 45 candidates (-87.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	44	9	53

Merged error: 0.0b

Counts

53 → 9

localize5.0ms

Local error

Found 1 expressions with local error:

0.3b	(* (* x 3.0) (* x y))

rewrite6.0ms

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 3.0) (* x y))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(* (* x 3.0) (* x y))

simplify44.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5305	193

prune16.0ms

Filtered

9 candidates to 25 candidates (-177.8%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	25	9	34

Merged error: 0.0b

Counts

34 → 9

regimes211.0ms

Accuracy

0% (0.2b 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	9	7
1	9	7

end0.0ms

sample295.0ms

Algorithm

intervals

Results

170.0ms	8000×	body	80	valid
2.0ms	81×	body	80	invalid

Details

analyze55.0ms

sample12.0ms

simplify3.0ms

prune7.0ms

localize4.0ms

rewrite11.0ms

series7.0ms

simplify36.0ms

prune53.0ms

localize11.0ms

rewrite17.0ms

series78.0ms

simplify33.0ms

prune117.0ms

localize4.0ms

rewrite12.0ms

series7.0ms

simplify43.0ms

prune48.0ms

localize5.0ms

rewrite6.0ms

series4.0ms

simplify44.0ms

prune16.0ms

regimes211.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample295.0ms

Profiling