Details

analyze897.0ms

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
2.7%	90.9%	6.4%	9
4.1%	86.4%	9.5%	10
4.4%	86.1%	9.5%	11
19.7%	65.3%	15%	12
21.9%	60.4%	17.7%	13
22.7%	59.6%	17.7%	14

sample51.0ms

Algorithm

intervals

Results

11.0ms	197×	body	80	valid
8.0ms	27×	body	640	valid
7.0ms	14×	body	1280	valid
4.0ms	35×	body	80	nan
2.0ms	11×	body	320	valid
2.0ms	4×	body	1280	invalid
1.0ms	7×	body	320	invalid
1.0ms	3×	body	640	invalid
1.0ms	7×	body	160	valid
1.0ms	9×	body	80	invalid
0.0ms	2×	body	160	invalid

simplify35.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4988	11
1	4988	11

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 6.2b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (pow (/ y (+ y z)) y) y)
0.0b	(/ y (+ y z))
6.7b	(pow (/ y (+ y z)) y)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
118×	`*-un-lft-identity`
90×	`unpow-prod-down`
80×	`add-sqr-sqrt` `add-cube-cbrt`
25×	`associate-/l*`
19×	`distribute-lft-out`
16×	`add-exp-log`
12×	`associate-/r/`
7×	`div-exp` `associate-/r*` `add-cbrt-cube` `div-inv`
6×	`flip3-+` `flip-+`
5×	`sqr-pow`
4×	`pow1` `pow-exp`
3×	`pow-unpow` `add-log-exp`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `clear-num`
1×	`pow-pow`

Counts

3 → 172

Calls

3 calls:

11.0ms	(/ (pow (/ y (+ y z)) y) y)
5.0ms	(/ y (+ y z))
7.0ms	(pow (/ y (+ y z)) y)

series47.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(/ (pow (/ y (+ y z)) y) y)
5.0ms	(/ y (+ y z))
22.0ms	(pow (/ y (+ y z)) y)

simplify47.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4973	2891
1	4973	2891

prune200.0ms

Filtered

134 candidates to 181 candidates (-35.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	175	6	181
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	176	6	182

Merged error: 0.5b

Counts

182 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.7b	(pow (/ (cbrt y) (cbrt (+ y z))) y)
1.9b	(pow (* (/ (cbrt y) (cbrt (+ y z))) (/ (cbrt y) (cbrt (+ y z)))) y)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

51×	`cbrt-prod`
49×	`unpow-prod-down`
47×	`*-un-lft-identity`
42×	`times-frac`
35×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`add-exp-log`
13×	`pow1`
7×	`pow-pow` `pow-exp`
6×	`pow-unpow` `distribute-lft-out`
5×	`div-exp`
4×	`prod-exp` `add-cbrt-cube` `add-log-exp`
2×	`pow-to-exp` `cbrt-div` `pow1/3` `associate-/r/` `sqr-pow`
1×	`pow2` `flip3-+` `pow-plus` `pow-prod-down` `pow-sqr` `pow-prod-up` `flip-+` `div-inv`

Counts

4 → 109

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
11.0ms	(pow (/ (cbrt y) (cbrt (+ y z))) y)
19.0ms	(pow (* (/ (cbrt y) (cbrt (+ y z))) (/ (cbrt y) (cbrt (+ y z)))) y)

series106.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt y)
24.0ms	(cbrt y)
26.0ms	(pow (/ (cbrt y) (cbrt (+ y z))) y)
34.0ms	(pow (* (/ (cbrt y) (cbrt (+ y z))) (/ (cbrt y) (cbrt (+ y z)))) y)

simplify63.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4939	2012
1	4939	2012

prune165.0ms

Filtered

90 candidates to 121 candidates (-34.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	122	5	127

Merged error: 0.3b

Counts

127 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.7b	(pow (/ (cbrt y) (cbrt (+ y z))) y)
0.7b	(pow (/ (cbrt y) (cbrt (+ y z))) (* y 2))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

96×	`cbrt-prod` `unpow-prod-down`
85×	`*-un-lft-identity`
84×	`times-frac`
61×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`distribute-lft-out`
10×	`add-exp-log`
6×	`pow1`
4×	`pow-unpow` `cbrt-div` `pow-exp` `associate-/r/` `add-cbrt-cube` `add-log-exp`
2×	`pow-to-exp` `pow-pow` `flip3-+` `pow1/3` `div-exp` `flip-+` `div-inv` `sqr-pow`

Counts

4 → 146

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
11.0ms	(pow (/ (cbrt y) (cbrt (+ y z))) y)
13.0ms	(pow (/ (cbrt y) (cbrt (+ y z))) (* y 2))

series98.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt y)
21.0ms	(cbrt y)
29.0ms	(pow (/ (cbrt y) (cbrt (+ y z))) y)
27.0ms	(pow (/ (cbrt y) (cbrt (+ y z))) (* y 2))

simplify73.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4929	3099
1	4929	3099

prune237.0ms

Filtered

125 candidates to 158 candidates (-26.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	158	5	163

Merged error: 0.3b

Counts

163 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
6.7b	(pow (/ y (+ y z)) y)
6.7b	(pow (/ y (+ y z)) y)
6.7b	(pow (/ y (+ y z)) y)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

54×	`unpow-prod-down`
50×	`*-un-lft-identity`
36×	`times-frac`
32×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`add-exp-log`
9×	`pow-unpow` `distribute-lft-out`
7×	`pow1`
6×	`pow-exp` `associate-/r/`
4×	`add-cbrt-cube` `add-log-exp`
3×	`cbrt-prod` `pow-to-exp` `pow-pow` `flip3-+` `div-exp` `flip-+` `div-inv` `sqr-pow`
1×	`pow1/3`

Counts

4 → 110

Calls

4 calls:

1.0ms	(cbrt y)
7.0ms	(pow (/ y (+ y z)) y)
7.0ms	(pow (/ y (+ y z)) y)
7.0ms	(pow (/ y (+ y z)) y)

series77.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt y)
20.0ms	(pow (/ y (+ y z)) y)
17.0ms	(pow (/ y (+ y z)) y)
17.0ms	(pow (/ y (+ y z)) y)

simplify70.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4958	1801
1	4958	1801

prune132.0ms

Filtered

88 candidates to 122 candidates (-38.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	120	2	122
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	122	5	127

Merged error: 0.3b

Counts

127 → 5

regimes163.0ms

Accuracy

0% (0.8b remaining)

Error of 1.1b against oracle of 0.3b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	25
1	18	25

end0.0ms

sample1.5s

Algorithm

intervals

Results

367.0ms	6070×	body	80	valid
334.0ms	653×	body	1280	valid
213.0ms	673×	body	640	valid
88.0ms	409×	body	320	valid
65.0ms	221×	body	640	invalid
49.0ms	1093×	body	80	nan
47.0ms	101×	body	1280	invalid
38.0ms	190×	body	320	invalid
26.0ms	195×	body	160	valid
20.0ms	325×	body	80	invalid
11.0ms	87×	body	160	invalid

Details

analyze897.0ms

sample51.0ms

simplify35.0ms

prune8.0ms

localize8.0ms

rewrite32.0ms

series47.0ms

simplify47.0ms

prune200.0ms

localize15.0ms

rewrite37.0ms

series106.0ms

simplify63.0ms

prune165.0ms

localize15.0ms

rewrite33.0ms

series98.0ms

simplify73.0ms

prune237.0ms

localize15.0ms

rewrite25.0ms

series77.0ms

simplify70.0ms

prune132.0ms

regimes163.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.5s

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