Details

analyze59.0ms

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

sample11.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	6×	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:

4.0ms

(* (* x y) y)

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(* (* x y) y)

simplify38.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5162	121

prune27.0ms

Filtered

11 candidates to 21 candidates (-90.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	18	3	21
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	18	5	23

Merged error: 0.0b

Counts

23 → 5

localize7.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
8.1b	(* x (* y (* (cbrt y) (cbrt y))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
9.0ms	(* x (* y (* (cbrt y) (cbrt y))))

series85.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt y)
21.0ms	(cbrt y)
22.0ms	(cbrt y)
21.0ms	(* x (* y (* (cbrt y) (cbrt y))))

simplify64.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4869	298
1	4869	298

prune67.0ms

Filtered

45 candidates to 66 candidates (-46.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	64	7	71

Merged error: 0.0b

Counts

71 → 7

localize3.0ms

Local error

Found 1 expressions with local error:

8.2b	(* x (* y y))

rewrite5.0ms

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))

simplify46.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5043	129

prune30.0ms

Filtered

10 candidates to 22 candidates (-120.0%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	20	2	22
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	20	9	29

Merged error: 0.0b

Counts

29 → 9

localize7.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
6.0b	(* (* (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)
10.0ms	(* (* (cbrt x) (cbrt x)) (* y (* y (cbrt x))))

series72.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(cbrt x)
20.0ms	(cbrt x)
22.0ms	(cbrt x)
9.0ms	(* (* (cbrt x) (cbrt x)) (* y (* y (cbrt x))))

simplify40.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5197	334

prune43.0ms

Filtered

40 candidates to 73 candidates (-82.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	5	5
Picked	1	0	1
Done	0	3	3
Total	73	9	82

Merged error: 0.0b

Counts

82 → 9

regimes153.0ms

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	6	5
1	6	5

end0.0ms

sample269.0ms

Algorithm

intervals

Results

140.0ms	8000×	body	80	valid
3.0ms	169×	body	80	invalid

Details

analyze59.0ms

sample11.0ms

simplify3.0ms

prune7.0ms

localize3.0ms

rewrite5.0ms

series6.0ms

simplify38.0ms

prune27.0ms

localize7.0ms

rewrite13.0ms

series85.0ms

simplify64.0ms

prune67.0ms

localize3.0ms

rewrite5.0ms

series7.0ms

simplify46.0ms

prune30.0ms

localize7.0ms

rewrite15.0ms

series72.0ms

simplify40.0ms

prune43.0ms

regimes153.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample269.0ms

Profiling