Details

analyze927.0ms

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

sample50.0ms

Algorithm

intervals

Results

12.0ms	198×	body	80	valid
10.0ms	19×	body	1280	valid
7.0ms	21×	body	640	valid
2.0ms	12×	body	320	valid
2.0ms	6×	body	640	invalid
2.0ms	35×	body	80	nan
1.0ms	3×	body	1280	invalid
1.0ms	6×	body	160	valid
0.0ms	8×	body	80	invalid
0.0ms	2×	body	320	invalid
0.0ms	3×	body	160	invalid

simplify34.0ms

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: 6.4b

Counts

2 → 1

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (pow (/ y (+ y z)) y) y)
0.0b	(+ x (/ (pow (/ y (+ y z)) y) y))
0.0b	(/ y (+ y z))
6.4b	(pow (/ y (+ y z)) y)

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 184

Calls

4 calls:

11.0ms	(/ (pow (/ y (+ y z)) y) y)
25.0ms	(+ x (/ (pow (/ y (+ y z)) y) y))
5.0ms	(/ y (+ y z))
6.0ms	(pow (/ y (+ y z)) y)

series68.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ (pow (/ y (+ y z)) y) y)
24.0ms	(+ x (/ (pow (/ y (+ y z)) y) y))
5.0ms	(/ y (+ y z))
18.0ms	(pow (/ y (+ y z)) y)

simplify67.0ms

Algorithm

egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4951	3086
1	4951	3086

prune214.0ms

Filtered

147 candidates to 196 candidates (-33.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	190	6	196
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	191	6	197

Merged error: 0.8b

Counts

197 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.3b	(pow (/ (cbrt y) (cbrt (+ y z))) y)
2.3b	(pow (* (/ (cbrt y) (cbrt (+ y z))) (/ (cbrt y) (cbrt (+ y z)))) y)

rewrite36.0ms

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)

series111.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt y)
21.0ms	(cbrt y)
31.0ms	(pow (/ (cbrt y) (cbrt (+ y z))) y)
36.0ms	(pow (* (/ (cbrt y) (cbrt (+ y z))) (/ (cbrt y) (cbrt (+ y z)))) y)

simplify66.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4939	2012
1	4939	2012

prune169.0ms

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

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.3b	(pow (/ (cbrt y) (cbrt (+ y z))) y)
1.3b	(pow (/ (cbrt y) (cbrt (+ y z))) (* y 2))

rewrite31.0ms

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)
10.0ms	(pow (/ (cbrt y) (cbrt (+ y z))) y)
11.0ms	(pow (/ (cbrt y) (cbrt (+ y z))) (* y 2))

series100.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt y)
21.0ms	(cbrt y)
30.0ms	(pow (/ (cbrt y) (cbrt (+ y z))) y)
28.0ms	(pow (/ (cbrt y) (cbrt (+ y z))) (* y 2))

simplify77.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4929	3099
1	4929	3099

prune238.0ms

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)
6.4b	(pow (/ y (+ y z)) y)
6.4b	(pow (/ y (+ y z)) y)
6.4b	(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)
6.0ms	(pow (/ y (+ y z)) y)
7.0ms	(pow (/ y (+ y z)) y)

series289.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt y)
17.0ms	(pow (/ y (+ y z)) y)
232.0ms	(pow (/ y (+ y z)) y)
18.0ms	(pow (/ y (+ y z)) y)

simplify70.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4958	1801
1	4958	1801

prune135.0ms

Filtered

88 candidates to 122 candidates (-38.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	119	3	122
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	120	7	127

Merged error: 0.3b

Counts

127 → 7

regimes189.0ms

Accuracy

0% (0.9b remaining)

Error of 1.2b against oracle of 0.4b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	25
1	18	25

end0.0ms

sample1.6s

Algorithm

intervals

Results

367.0ms	6045×	body	80	valid
352.0ms	680×	body	1280	valid
205.0ms	648×	body	640	valid
87.0ms	418×	body	320	valid
84.0ms	264×	body	640	invalid
56.0ms	120×	body	1280	invalid
51.0ms	1096×	body	80	nan
39.0ms	195×	body	320	invalid
28.0ms	209×	body	160	valid
18.0ms	318×	body	80	invalid
13.0ms	102×	body	160	invalid

Details

analyze927.0ms

sample50.0ms

simplify34.0ms

prune8.0ms

localize8.0ms

rewrite56.0ms

series68.0ms

simplify67.0ms

prune214.0ms

localize16.0ms

rewrite36.0ms

series111.0ms

simplify66.0ms

prune169.0ms

localize18.0ms

rewrite31.0ms

series100.0ms

simplify77.0ms

prune238.0ms

localize15.0ms

rewrite25.0ms

series289.0ms

simplify70.0ms

prune135.0ms

regimes189.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.6s

Profiling