Details

analyze61.0ms

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%	62.4%	0.1%	6
50%	37.5%	12.6%	7
56.2%	31.2%	12.6%	8
62.4%	18.7%	18.8%	9
65.6%	15.6%	18.8%	10
68.7%	9.4%	22%	11
70.2%	7.8%	22%	12
71.8%	4.7%	23.5%	13
72.6%	3.9%	23.5%	14

sample12.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	7×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	5
1	9	5

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

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x y) y)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 18

Calls

1 calls:

5.0ms

(* (* x y) y)

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(* (* x y) y)

simplify38.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5162	121

prune24.0ms

Filtered

11 candidates to 21 candidates (-90.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	19	2	21
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	19	4	23

Merged error: 0.0b

Counts

23 → 4

localize3.0ms

Local error

Found 1 expressions with local error:

7.8b	(* x (* y y))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 19

Calls

1 calls:

5.0ms

(* x (* y y))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(* x (* y y))

simplify47.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5043	129

prune21.0ms

Filtered

10 candidates to 22 candidates (-120.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	20	2	22
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	21	5	26

Merged error: 0.0b

Counts

26 → 5

localize7.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
4.7b	(* (* (cbrt x) (cbrt x)) (* y (* y (cbrt x))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log`
17×	`add-cbrt-cube`
15×	`pow-prod-down` `prod-exp` `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 → 61

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
11.0ms	(* (* (cbrt x) (cbrt x)) (* y (* y (cbrt x))))

series74.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt x)
21.0ms	(cbrt x)
21.0ms	(cbrt x)
11.0ms	(* (* (cbrt x) (cbrt x)) (* y (* y (cbrt x))))

simplify42.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5197	334

prune57.0ms

Filtered

41 candidates to 73 candidates (-78.0%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	71	7	78

Merged error: 0.0b

Counts

78 → 7

localize5.0ms

Local error

Found 3 expressions with local error:

0.1b	(* y (sqrt x))
0.1b	(* y (sqrt x))
0.2b	(* (* y (sqrt x)) (* y (sqrt x)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

46×	`pow1`
19×	`add-exp-log` `pow-prod-down` `add-cbrt-cube`
17×	`add-sqr-sqrt`
13×	`associate-r`
10×	`prod-exp` `cbrt-unprod`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`sqrt-prod`
7×	`associate-l`
4×	`pow-sqr` `pow-prod-up` `unswap-sqr`
3×	`*-commutative` `add-log-exp`
2×	`pow-plus`
1×	`pow2` `swap-sqr`

Counts

3 → 78

Calls

3 calls:

5.0ms	(* y (sqrt x))
6.0ms	(* y (sqrt x))
8.0ms	(* (* y (sqrt x)) (* y (sqrt x)))

series18.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(* y (sqrt x))
6.0ms	(* y (sqrt x))
5.0ms	(* (* y (sqrt x)) (* y (sqrt x)))

simplify39.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4981	525
1	4981	525

prune51.0ms

Filtered

47 candidates to 87 candidates (-85.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	87	7	94

Merged error: 0.0b

Counts

94 → 7

regimes137.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	5
1	6	5

end0.0ms

sample273.0ms

Algorithm

intervals

Results

148.0ms	8000×	body	80	valid
4.0ms	199×	body	80	invalid

Details

analyze61.0ms

sample12.0ms

simplify3.0ms

prune7.0ms

localize3.0ms

rewrite5.0ms

series7.0ms

simplify38.0ms

prune24.0ms

localize3.0ms

rewrite6.0ms

series7.0ms

simplify47.0ms

prune21.0ms

localize7.0ms

rewrite15.0ms

series74.0ms

simplify42.0ms

prune57.0ms

localize5.0ms

rewrite21.0ms

series18.0ms

simplify39.0ms

prune51.0ms

regimes137.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample273.0ms

Profiling