Details

analyze62.0ms

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

sample13.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	2×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	34	7
1	34	7

prune8.0ms

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

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b	(* x (* 3.0 y))
0.2b	(* x (* x (* 3.0 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-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 (* 3.0 y))
6.0ms	(* x (* x (* 3.0 y)))

series7.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify37.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5102	305

prune50.0ms

Filtered

22 candidates to 45 candidates (-104.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	41	4	45
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	41	6	47

Merged error: 0.0b

Counts

47 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b	(* x (* (* x 3.0) y))
0.2b	(* (* 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`
4×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
2×	`*-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)

simplify32.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5517	308

prune47.0ms

Filtered

22 candidates to 45 candidates (-104.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	43	8	51

Merged error: 0.0b

Counts

51 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* x (* x (* 3.0 y)))) (cbrt (* x (* x (* 3.0 y)))))
18.7b	(cbrt (* x (* x (* 3.0 y))))
18.7b	(cbrt (* x (* x (* 3.0 y))))
18.7b	(cbrt (* x (* x (* 3.0 y))))

rewrite23.0ms

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:

6.0ms	(* (cbrt (* x (* x (* 3.0 y)))) (cbrt (* x (* x (* 3.0 y)))))
6.0ms	(cbrt (* x (* x (* 3.0 y))))
5.0ms	(cbrt (* x (* x (* 3.0 y))))
5.0ms	(cbrt (* x (* x (* 3.0 y))))

series89.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (cbrt (* x (* x (* 3.0 y)))) (cbrt (* x (* x (* 3.0 y)))))
19.0ms	(cbrt (* x (* x (* 3.0 y))))
20.0ms	(cbrt (* x (* x (* 3.0 y))))
20.0ms	(cbrt (* x (* x (* 3.0 y))))

simplify60.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4891	635
1	4891	635

prune136.0ms

Filtered

52 candidates to 70 candidates (-34.6%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	69	9	78

Merged error: 0.0b

Counts

78 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
9.2b	(cbrt (* x (* 3.0 y)))
18.7b	(cbrt (* x (* x (* 3.0 y))))
18.7b	(cbrt (* x (* x (* 3.0 y))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 38

Calls

4 calls:

1.0ms	(cbrt x)
3.0ms	(cbrt (* x (* 3.0 y)))
7.0ms	(cbrt (* x (* x (* 3.0 y))))
5.0ms	(cbrt (* x (* x (* 3.0 y))))

series77.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt x)
17.0ms	(cbrt (* x (* 3.0 y)))
19.0ms	(cbrt (* x (* x (* 3.0 y))))
20.0ms	(cbrt (* x (* x (* 3.0 y))))

simplify35.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	4980	352
1	4980	352

prune90.0ms

Filtered

40 candidates to 50 candidates (-25.0%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	50	9	59

Merged error: 0.0b

Counts

59 → 9

regimes265.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	7
1	9	7

end0.0ms

sample331.0ms

Algorithm

intervals

Results

197.0ms	8000×	body	80	valid
2.0ms	88×	body	80	invalid

Details

analyze62.0ms

sample13.0ms

simplify3.0ms

prune8.0ms

localize5.0ms

rewrite12.0ms

series7.0ms

simplify37.0ms

prune50.0ms

localize5.0ms

rewrite11.0ms

series7.0ms

simplify32.0ms

prune47.0ms

localize10.0ms

rewrite23.0ms

series89.0ms

simplify60.0ms

prune136.0ms

localize13.0ms

rewrite17.0ms

series77.0ms

simplify35.0ms

prune90.0ms

regimes265.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample331.0ms

Profiling