Details

analyze910.0ms

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

sample53.0ms

Algorithm

intervals

Results

14.0ms	25×	body	1280	valid
12.0ms	194×	body	80	valid
6.0ms	19×	body	640	valid
3.0ms	14×	body	320	valid
2.0ms	6×	body	640	invalid
1.0ms	7×	body	320	invalid
1.0ms	21×	body	80	nan
1.0ms	4×	body	160	valid
1.0ms	11×	body	80	invalid
0.0ms	1×	body	1280	invalid
0.0ms	3×	body	160	invalid

simplify36.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4927	11
1	4927	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 2 expressions with local error:

0.0b	(/ y (+ y z))
6.8b	(pow (/ y (+ y z)) y)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 66

Calls

2 calls:

8.0ms	(/ y (+ y z))
6.0ms	(pow (/ y (+ y z)) y)

series22.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/ y (+ y z))
17.0ms	(pow (/ y (+ y z)) y)

simplify55.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4973	869
1	4973	869

prune105.0ms

Filtered

51 candidates to 72 candidates (-41.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	67	5	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	5	73

Merged error: 0.5b

Counts

73 → 5

localize16.0ms

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)

rewrite34.0ms

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)

series109.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt y)
21.0ms	(cbrt y)
27.0ms	(pow (/ (cbrt y) (cbrt (+ y z))) y)
37.0ms	(pow (* (/ (cbrt y) (cbrt (+ y z))) (/ (cbrt y) (cbrt (+ y z)))) y)

simplify36.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5135	2011

prune165.0ms

Filtered

90 candidates to 121 candidates (-34.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	3	1	4
Picked	1	0	1
Done	0	0	0
Total	124	2	126

Merged error: 0.2b

Counts

126 → 2

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))

rewrite29.0ms

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))

series97.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(cbrt y)
20.0ms	(cbrt y)
26.0ms	(pow (/ (cbrt y) (cbrt (+ y z))) y)
30.0ms	(pow (/ (cbrt y) (cbrt (+ y z))) (* y 2))

simplify45.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4979	3109
1	4979	3109

prune229.0ms

Filtered

125 candidates to 158 candidates (-26.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	158	2	160

Merged error: 0.2b

Counts

160 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ y z))
0.6b	(cbrt (+ y z))
0.6b	(cbrt (+ y z))
21.7b	(pow (/ (/ y (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z))) y)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

126×	`times-frac`
111×	`unpow-prod-down`
92×	`cbrt-div`
89×	`*-un-lft-identity`
72×	`cbrt-prod`
58×	`associate-/r/`
53×	`add-sqr-sqrt` `add-cube-cbrt`
46×	`flip3-+` `flip-+`
28×	`frac-times`
18×	`distribute-lft-out`
14×	`add-exp-log` `associate-r/` `associate-l/`
8×	`div-inv`
5×	`pow1` `div-exp`
4×	`pow-exp` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `pow1/3`
1×	`pow-to-exp` `pow-pow` `prod-exp` `sqr-pow`

Counts

4 → 170

Calls

4 calls:

3.0ms	(cbrt (+ y z))
3.0ms	(cbrt (+ y z))
3.0ms	(cbrt (+ y z))
26.0ms	(pow (/ (/ y (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z))) y)

series112.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(cbrt (+ y z))
33.0ms	(cbrt (+ y z))
29.0ms	(cbrt (+ y z))
21.0ms	(pow (/ (/ y (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z))) y)

simplify121.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	5262	4757

prune193.0ms

Filtered

120 candidates to 182 candidates (-51.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	182	0	182
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	182	2	184

Merged error: 0.2b

Counts

184 → 2

regimes139.0ms

Accuracy

0% (0.3b remaining)

Error of 0.9b against oracle of 0.6b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	25
1	18	25

end0.0ms

analyze906.0ms

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

sample1.8s

Algorithm

intervals

Results

379.0ms	721×	body	1280	valid
377.0ms	6076×	body	80	valid
217.0ms	110×	body	160	invalid
210.0ms	651×	body	640	valid
85.0ms	272×	body	640	invalid
77.0ms	358×	body	320	valid
47.0ms	98×	body	1280	invalid
46.0ms	990×	body	80	nan
39.0ms	189×	body	320	invalid
27.0ms	194×	body	160	valid
21.0ms	359×	body	80	invalid

Details

analyze910.0ms

sample53.0ms

simplify36.0ms

prune8.0ms

localize8.0ms

rewrite16.0ms

series22.0ms

simplify55.0ms

prune105.0ms

localize16.0ms

rewrite34.0ms

series109.0ms

simplify36.0ms

prune165.0ms

localize15.0ms

rewrite29.0ms

series97.0ms

simplify45.0ms

prune229.0ms

localize13.0ms

rewrite48.0ms

series112.0ms

simplify121.0ms

prune193.0ms

regimes139.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze906.0ms

sample1.8s

Profiling