Details

analyze2.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
62.5%	12.5%	25%	4
68.7%	6.2%	25%	5
71.8%	3.1%	25%	6
73.4%	1.6%	25%	7
74.2%	0.8%	25%	8
74.6%	0.4%	25%	9
74.8%	0.2%	25%	10
74.9%	0.1%	25%	11
74.9%	0%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

sample65.0ms

Algorithm

intervals

Results

38.0ms	78×	body	1280	valid
14.0ms	60×	body	640	valid
4.0ms	33×	body	320	valid
2.0ms	75×	body	80	valid
1.0ms	10×	body	160	valid

simplify2.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	4
1	5	4

prune2.0ms

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: 42.8b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

3.8b	(log (+ 1.0 x))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

4×	`log-prod` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `log-div`
1×	`flip3-+` `rem-log-exp` `log-pow` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

1 → 15

Calls

1 calls:

3.0ms

(log (+ 1.0 x))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(log (+ 1.0 x))

simplify29.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5310	142

prune37.0ms

Filtered

13 candidates to 18 candidates (-38.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	14	4	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	5	19

Merged error: 0.1b

Counts

19 → 5

localize8.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune8.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	3	3
Picked	1	1
Done	1	1
Total	5	5

Merged error: 0.1b

Counts

5 → 5

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 x))
0.0b	(sqrt (+ 1.0 x))
3.8b	(log (sqrt (+ 1.0 x)))
3.8b	(log (sqrt (+ 1.0 x)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
16×	`sqrt-prod`
14×	`log-prod`
12×	`add-sqr-sqrt`
10×	`pow1` `add-cube-cbrt`
8×	`sqrt-div`
6×	`add-exp-log` `log-pow`
4×	`log-div` `sqrt-pow1` `flip3-+` `pow1/2` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `rem-log-exp`

Counts

4 → 72

Calls

4 calls:

3.0ms	(sqrt (+ 1.0 x))
3.0ms	(sqrt (+ 1.0 x))
4.0ms	(log (sqrt (+ 1.0 x)))
4.0ms	(log (sqrt (+ 1.0 x)))

series19.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt (+ 1.0 x))
3.0ms	(sqrt (+ 1.0 x))
6.0ms	(log (sqrt (+ 1.0 x)))
6.0ms	(log (sqrt (+ 1.0 x)))

simplify63.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4968	842
1	4968	842

prune146.0ms

Filtered

64 candidates to 84 candidates (-31.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	84	5	89

Merged error: 0.1b

Counts

89 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (sqrt (+ 1.0 x)))
3.8b	(log (sqrt (+ 1.0 x)))
3.9b	(log (cbrt (sqrt (+ 1.0 x))))
3.9b	(log (cbrt (sqrt (+ 1.0 x))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

27×	`log-prod`
22×	`*-un-lft-identity`
21×	`cbrt-prod`
16×	`sqrt-prod`
14×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`pow1` `sqrt-div`
7×	`add-exp-log` `log-pow`
6×	`log-div` `cbrt-div`
4×	`flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`
3×	`pow1/3` `rem-log-exp`
1×	`sqrt-pow1` `pow1/2`

Counts

4 → 81

Calls

4 calls:

3.0ms	(cbrt (sqrt (+ 1.0 x)))
4.0ms	(log (sqrt (+ 1.0 x)))
4.0ms	(log (cbrt (sqrt (+ 1.0 x))))
4.0ms	(log (cbrt (sqrt (+ 1.0 x))))

series29.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(cbrt (sqrt (+ 1.0 x)))
8.0ms	(log (sqrt (+ 1.0 x)))
7.0ms	(log (cbrt (sqrt (+ 1.0 x))))
8.0ms	(log (cbrt (sqrt (+ 1.0 x))))

simplify54.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4954	1004
1	4954	1004

prune229.0ms

Filtered

68 candidates to 93 candidates (-36.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	93	5	98

Merged error: 0.1b

Counts

98 → 5

regimes131.0ms

Accuracy

97.6% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 21.3b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	31
1	20	31

end0.0ms

analyze2.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
62.5%	12.5%	25%	4
68.7%	6.2%	25%	5
71.8%	3.1%	25%	6
73.4%	1.6%	25%	7
74.2%	0.8%	25%	8
74.6%	0.4%	25%	9
74.8%	0.2%	25%	10
74.9%	0.1%	25%	11
74.9%	0%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

sample1.8s

Algorithm

intervals

Results

1.1s	2294×	body	1280	valid
404.0ms	1699×	body	640	valid
106.0ms	834×	body	320	valid
77.0ms	2768×	body	80	valid
32.0ms	405×	body	160	valid

Details

analyze2.0ms

sample65.0ms

simplify2.0ms

prune2.0ms

localize3.0ms

rewrite3.0ms

series3.0ms

simplify29.0ms

prune37.0ms

localize8.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune8.0ms

localize6.0ms

rewrite15.0ms

series19.0ms

simplify63.0ms

prune146.0ms

localize11.0ms

rewrite18.0ms

series29.0ms

simplify54.0ms

prune229.0ms

regimes131.0ms

bsearch1.0ms

simplify1.0ms

end0.0ms

analyze2.0ms

sample1.8s

Profiling