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%	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

4.0ms	256×	body	80	valid
0.0ms	3×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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)

series11.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

(* (* x y) y)

simplify38.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5162	121

prune28.0ms

Filtered

11 candidates to 21 candidates (-90.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	17	4	21
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	17	6	23

Merged error: 0.1b

Counts

23 → 6

localize7.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
7.9b	(* x (* y (* (cbrt y) (cbrt y))))

rewrite14.0ms

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))))

series90.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt y)
22.0ms	(cbrt y)
22.0ms	(cbrt y)
23.0ms	(* x (* y (* (cbrt y) (cbrt y))))

simplify68.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4869	298
1	4869	298

prune251.0ms

Filtered

45 candidates to 66 candidates (-46.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	63	3	66
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	64	8	72

Merged error: 0.0b

Counts

72 → 8

localize7.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series93.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (cbrt y) (cbrt y))
24.0ms	(cbrt y)
22.0ms	(cbrt y)
22.0ms	(cbrt y)

simplify48.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5165	356

prune150.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	81	4	85
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	83	10	93

Merged error: 0.0b

Counts

93 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series87.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt y)
23.0ms	(cbrt y)
21.0ms	(cbrt y)
21.0ms	(cbrt y)

simplify41.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5270	200

prune57.0ms

Filtered

40 candidates to 56 candidates (-40.0%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	56	10	66

Merged error: 0.0b

Counts

66 → 10

regimes165.0ms

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

sample261.0ms

Algorithm

intervals

Results

144.0ms	8000×	body	80	valid
3.0ms	161×	body	80	invalid

Details

analyze55.0ms

sample11.0ms

simplify3.0ms

prune7.0ms

localize3.0ms

rewrite5.0ms

series11.0ms

simplify38.0ms

prune28.0ms

localize7.0ms

rewrite14.0ms

series90.0ms

simplify68.0ms

prune251.0ms

localize7.0ms

rewrite11.0ms

series93.0ms

simplify48.0ms

prune150.0ms

localize12.0ms

rewrite5.0ms

series87.0ms

simplify41.0ms

prune57.0ms

regimes165.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample261.0ms

Profiling