Details

analyze898.0ms

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

sample52.0ms

Algorithm

intervals

Results

12.0ms	24×	body	1280	valid
12.0ms	194×	body	80	valid
6.0ms	20×	body	640	valid
3.0ms	12×	body	320	valid
1.0ms	33×	body	80	nan
1.0ms	7×	body	320	invalid
1.0ms	22×	body	80	invalid
1.0ms	4×	body	640	invalid
1.0ms	6×	body	160	valid
0.0ms	2×	body	160	invalid

simplify39.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4927	11
1	4927	11

prune9.0ms

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: 5.3b

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))
4.9b	(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:

23.0ms	(+ x (/ (pow (/ y (+ y z)) y) y))
5.0ms	(/ y (+ y z))
7.0ms	(pow (/ y (+ y z)) y)

series43.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(+ x (/ (pow (/ y (+ y z)) y) y))
5.0ms	(/ y (+ y z))
18.0ms	(pow (/ y (+ y z)) y)

simplify30.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	4969	1101
1	4969	1101

prune126.0ms

Filtered

64 candidates to 87 candidates (-35.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	80	7	87
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	7	88

Merged error: 0.5b

Counts

88 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
1.2b	(pow (* (/ (cbrt y) (cbrt (+ y z))) (/ (cbrt y) (cbrt (+ y z)))) y)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log`
12×	`pow1`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow-pow`
5×	`pow-exp`
4×	`div-exp` `prod-exp` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `pow1/3`
1×	`pow2` `pow-to-exp` `unpow-prod-down` `pow-plus` `pow-prod-down` `pow-sqr` `pow-prod-up` `sqr-pow`

Counts

4 → 57

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
17.0ms	(pow (* (/ (cbrt y) (cbrt (+ y z))) (/ (cbrt y) (cbrt (+ y z)))) y)

series98.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt y)
20.0ms	(cbrt y)
21.0ms	(cbrt y)
36.0ms	(pow (* (/ (cbrt y) (cbrt (+ y z))) (/ (cbrt y) (cbrt (+ y z)))) y)

simplify55.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4938	709
1	4938	709

prune100.0ms

Filtered

46 candidates to 69 candidates (-50.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	72	4	76

Merged error: 0.3b

Counts

76 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ y z))
0.6b	(cbrt (+ y z))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
12×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `cbrt-div` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 50

Calls

4 calls:

5.0ms	(cbrt (+ y z))
3.0ms	(cbrt (+ y z))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series103.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(cbrt (+ y z))
29.0ms	(cbrt (+ y z))
21.0ms	(cbrt y)
21.0ms	(cbrt y)

simplify65.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5433	362

prune91.0ms

Filtered

48 candidates to 62 candidates (-29.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	62	4	66

Merged error: 0.3b

Counts

66 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ y z))
0.6b	(cbrt (+ y z))
0.6b	(cbrt (+ y z))
23.5b	(pow (/ (/ y (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z))) y)

rewrite49.0ms

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))
27.0ms	(pow (/ (/ y (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z))) y)

series113.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(cbrt (+ y z))
29.0ms	(cbrt (+ y z))
33.0ms	(cbrt (+ y z))
21.0ms	(pow (/ (/ y (* (cbrt (+ y z)) (cbrt (+ y z)))) (cbrt (+ y z))) y)

simplify128.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	5262	4757

prune188.0ms

Filtered

120 candidates to 182 candidates (-51.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	182	0	182
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	182	4	186

Merged error: 0.3b

Counts

186 → 4

regimes150.0ms

Accuracy

0% (0.7b 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 (0.0ms)

Iter	Nodes	Cost
0	18	25
1	18	25

end0.0ms

analyze900.0ms

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

sample1.5s

Algorithm

intervals

Results

366.0ms	6064×	body	80	valid
331.0ms	634×	body	1280	valid
224.0ms	699×	body	640	valid
86.0ms	389×	body	320	valid
82.0ms	271×	body	640	invalid
46.0ms	976×	body	80	nan
41.0ms	88×	body	1280	invalid
37.0ms	186×	body	320	invalid
29.0ms	214×	body	160	valid
20.0ms	349×	body	80	invalid
17.0ms	132×	body	160	invalid

Details

analyze898.0ms

sample52.0ms

simplify39.0ms

prune9.0ms

localize8.0ms

rewrite38.0ms

series43.0ms

simplify30.0ms

prune126.0ms

localize16.0ms

rewrite22.0ms

series98.0ms

simplify55.0ms

prune100.0ms

localize16.0ms

rewrite11.0ms

series103.0ms

simplify65.0ms

prune91.0ms

localize17.0ms

rewrite49.0ms

series113.0ms

simplify128.0ms

prune188.0ms

regimes150.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze900.0ms

sample1.5s

Profiling