Details

analyze917.0ms

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

sample57.0ms

Algorithm

intervals

Results

13.0ms	26×	body	1280	valid
11.0ms	186×	body	80	valid
8.0ms	25×	body	640	valid
3.0ms	10×	body	640	invalid
2.0ms	9×	body	320	valid
2.0ms	38×	body	80	nan
2.0ms	8×	body	320	invalid
1.0ms	3×	body	1280	invalid
1.0ms	10×	body	160	valid
1.0ms	12×	body	80	invalid
0.0ms	3×	body	160	invalid

simplify33.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (31.0ms)

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: 6.6b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (pow (/ y (+ y z)) y) y)
0.0b	(/ y (+ y z))
0.0b	(+ x (/ (pow (/ y (+ y z)) y) y))
6.5b	(pow (/ y (+ y z)) y)

rewrite51.0ms

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)
5.0ms	(/ y (+ y z))
20.0ms	(+ x (/ (pow (/ y (+ y z)) y) y))
6.0ms	(pow (/ y (+ y z)) y)

series66.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ (pow (/ y (+ y z)) y) y)
5.0ms	(/ y (+ y z))
20.0ms	(+ x (/ (pow (/ y (+ y z)) y) y))
21.0ms	(pow (/ y (+ y z)) y)

simplify65.0ms

Algorithm

egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4951	3086
1	4951	3086

prune225.0ms

Filtered

147 candidates to 196 candidates (-33.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	189	7	196
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	190	7	197

Merged error: 0.1b

Counts

197 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.1b	(pow (/ (cbrt y) (cbrt (+ y z))) y)
2.3b	(pow (* (/ (cbrt y) (cbrt (+ y z))) (/ (cbrt y) (cbrt (+ y z)))) y)

rewrite35.0ms

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)
10.0ms	(pow (/ (cbrt y) (cbrt (+ y z))) y)
17.0ms	(pow (* (/ (cbrt y) (cbrt (+ y z))) (/ (cbrt y) (cbrt (+ y z)))) y)

series108.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt y)
22.0ms	(cbrt y)
26.0ms	(pow (/ (cbrt y) (cbrt (+ y z))) y)
38.0ms	(pow (* (/ (cbrt y) (cbrt (+ y z))) (/ (cbrt y) (cbrt (+ y z)))) y)

simplify64.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4939	2012
1	4939	2012

prune173.0ms

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	2	4	6
Picked	1	0	1
Done	0	0	0
Total	123	5	128

Merged error: 0.1b

Counts

128 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.1b	(pow (/ (cbrt y) (cbrt (+ y z))) y)
1.1b	(pow (/ (cbrt y) (cbrt (+ y z))) (* y 2))

rewrite30.0ms

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))

series102.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt y)
21.0ms	(cbrt y)
26.0ms	(pow (/ (cbrt y) (cbrt (+ y z))) y)
31.0ms	(pow (/ (cbrt y) (cbrt (+ y z))) (* y 2))

simplify74.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (55.0ms)

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: 0.1b

Counts

163 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
6.5b	(pow (/ y (+ y z)) y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
18×	`unpow-prod-down`
16×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
9×	`cbrt-prod`
7×	`add-exp-log`
5×	`pow1`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `pow1/3` `distribute-lft-out`
2×	`pow-exp` `associate-/r/`
1×	`pow-to-exp` `pow-pow` `flip3-+` `div-exp` `flip-+` `div-inv` `sqr-pow`

Counts

4 → 66

Calls

4 calls:

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

series84.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify57.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4958	747
1	4958	747

prune79.0ms

Filtered

56 candidates to 78 candidates (-39.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	76	7	83

Merged error: 0.1b

Counts

83 → 7

regimes184.0ms

Accuracy

0% (0.7b remaining)

Error of 1.0b against oracle of 0.3b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	25
1	18	25

end0.0ms

sample1.6s

Algorithm

intervals

Results

384.0ms	6034×	body	80	valid
357.0ms	671×	body	1280	valid
231.0ms	697×	body	640	valid
89.0ms	397×	body	320	valid
79.0ms	246×	body	640	invalid
48.0ms	1029×	body	80	nan
45.0ms	97×	body	1280	invalid
34.0ms	163×	body	320	invalid
28.0ms	201×	body	160	valid
19.0ms	315×	body	80	invalid
14.0ms	107×	body	160	invalid

Details

analyze917.0ms

sample57.0ms

simplify33.0ms

prune8.0ms

localize11.0ms

rewrite51.0ms

series66.0ms

simplify65.0ms

prune225.0ms

localize16.0ms

rewrite35.0ms

series108.0ms

simplify64.0ms

prune173.0ms

localize15.0ms

rewrite30.0ms

series102.0ms

simplify74.0ms

prune237.0ms

localize12.0ms

rewrite11.0ms

series84.0ms

simplify57.0ms

prune79.0ms

regimes184.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.6s

Profiling