Details

analyze903.0ms

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

15.0ms	29×	body	1280	valid
10.0ms	184×	body	80	valid
8.0ms	26×	body	640	valid
2.0ms	11×	body	320	valid
2.0ms	5×	body	1280	invalid
2.0ms	6×	body	640	invalid
2.0ms	40×	body	80	nan
2.0ms	8×	body	320	invalid
1.0ms	6×	body	160	valid
1.0ms	14×	body	80	invalid
0.0ms	2×	body	160	invalid

simplify35.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (33.0ms)

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
24×	`times-frac`
21×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`unpow-prod-down`
8×	`add-exp-log` `distribute-lft-out`
5×	`add-cbrt-cube` `add-log-exp`
4×	`pow1` `associate-/r*` `associate-/r/`
3×	`pow-unpow` `flip3-+` `flip-+` `associate-/l*`
2×	`div-exp` `pow-exp` `div-inv`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `pow-pow` `frac-2neg` `clear-num` `sum-log` `sqr-pow`

Counts

3 → 78

Calls

3 calls:

24.0ms	(+ x (/ (pow (/ y (+ y z)) y) y))
5.0ms	(/ y (+ y z))
6.0ms	(pow (/ y (+ y z)) y)

series44.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify31.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5094	1101

prune125.0ms

Filtered

64 candidates to 87 candidates (-35.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	81	6	87
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	6	88

Merged error: 0.3b

Counts

88 → 6

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)
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)
18.0ms	(pow (* (/ (cbrt y) (cbrt (+ y z))) (/ (cbrt y) (cbrt (+ y z)))) y)

series110.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(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

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: 0.1b

Counts

127 → 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)
10.0ms	(pow (/ (cbrt y) (cbrt (+ y z))) (* y 2))

series102.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt y)
22.0ms	(cbrt y)
27.0ms	(pow (/ (cbrt y) (cbrt (+ y z))) y)
30.0ms	(pow (/ (cbrt y) (cbrt (+ y z))) (* y 2))

simplify72.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4929	3099
1	4929	3099

prune231.0ms

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:

0.2b	(cbrt (pow (/ y (+ y z)) y))
6.4b	(pow (/ y (+ y z)) y)
6.4b	(pow (/ y (+ y z)) y)
6.4b	(pow (/ y (+ y z)) y)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

72×	`unpow-prod-down`
64×	`*-un-lft-identity`
48×	`times-frac`
40×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`cbrt-prod`
13×	`add-exp-log`
12×	`distribute-lft-out`
9×	`pow-unpow`
8×	`associate-/r/`
7×	`pow1`
6×	`pow-exp`
4×	`flip3-+` `add-cbrt-cube` `flip-+` `div-inv` `add-log-exp` `sqr-pow`
3×	`pow-to-exp` `pow-pow` `div-exp`
1×	`pow1/3`

Counts

4 → 129

Calls

4 calls:

6.0ms	(cbrt (pow (/ y (+ y z)) y))
9.0ms	(pow (/ y (+ y z)) y)
6.0ms	(pow (/ y (+ y z)) y)
7.0ms	(pow (/ y (+ y z)) y)

series84.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(cbrt (pow (/ y (+ y z)) y))
18.0ms	(pow (/ y (+ y z)) y)
18.0ms	(pow (/ y (+ y z)) y)
19.0ms	(pow (/ y (+ y z)) y)

simplify56.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5009	2415

prune160.0ms

Filtered

104 candidates to 141 candidates (-35.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	140	1	141
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	141	5	146

Merged error: 0.1b

Counts

146 → 5

regimes157.0ms

Accuracy

0% (0.5b remaining)

Error of 1.1b against oracle of 0.6b 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

355.0ms	6014×	body	80	valid
333.0ms	667×	body	1280	valid
217.0ms	708×	body	640	valid
84.0ms	403×	body	320	valid
75.0ms	251×	body	640	invalid
48.0ms	108×	body	1280	invalid
47.0ms	1098×	body	80	nan
34.0ms	174×	body	320	invalid
29.0ms	208×	body	160	valid
20.0ms	360×	body	80	invalid
13.0ms	106×	body	160	invalid

Details

analyze903.0ms

sample57.0ms

simplify35.0ms

prune8.0ms

localize8.0ms

rewrite38.0ms

series44.0ms

simplify31.0ms

prune125.0ms

localize15.0ms

rewrite35.0ms

series110.0ms

simplify64.0ms

prune169.0ms

localize15.0ms

rewrite30.0ms

series102.0ms

simplify72.0ms

prune231.0ms

localize12.0ms

rewrite34.0ms

series84.0ms

simplify56.0ms

prune160.0ms

regimes157.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.5s

Profiling