Details

analyze574.0ms

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
3.1%	90.5%	6.3%	6
4.7%	85.9%	9.5%	7
21.1%	64%	14.9%	8
23.4%	58.9%	17.7%	9
27.7%	51.3%	21%	10
28.9%	48.5%	22.6%	11
31.1%	44.4%	24.5%	12
31.7%	42.9%	25.4%	13
32.7%	41%	26.3%	14

sample63.0ms

Algorithm

intervals

Results

24.0ms	49×	body	1280	valid
8.0ms	26×	body	640	valid
8.0ms	144×	body	80	valid
6.0ms	29×	body	320	valid
3.0ms	10×	body	640	invalid
1.0ms	8×	body	160	valid
1.0ms	5×	body	320	invalid
1.0ms	5×	body	160	invalid
0.0ms	6×	body	80	nan
0.0ms	1×	body	1280	invalid
0.0ms	4×	body	80	invalid

simplify40.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4924	9
1	4924	9

prune10.0ms

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: 12.1b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (pow (/ x (+ x y)) x) x)
0.0b	(/ x (+ x y))
6.0b	(pow (/ x (+ x y)) x)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 172

Calls

3 calls:

10.0ms	(/ (pow (/ x (+ x y)) x) x)
5.0ms	(/ x (+ x y))
7.0ms	(pow (/ x (+ x y)) x)

series45.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(/ (pow (/ x (+ x y)) x) x)
5.0ms	(/ x (+ x y))
17.0ms	(pow (/ x (+ x y)) x)

simplify74.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4970	2849
1	4970	2849

prune205.0ms

Filtered

134 candidates to 181 candidates (-35.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	173	8	181
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	174	8	182

Merged error: 0.5b

Counts

182 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x y))
0.5b	(cbrt (+ x y))
0.5b	(cbrt (+ x y))
1.9b	(pow (* (/ (cbrt x) (cbrt (+ x y))) (/ (cbrt x) (cbrt (+ x y)))) x)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log`
14×	`*-un-lft-identity`
12×	`pow1` `cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`cbrt-div` `pow-pow`
5×	`pow-exp`
4×	`div-exp` `prod-exp` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `flip3-+` `pow1/3` `flip-+` `distribute-lft-out`
1×	`pow2` `pow-to-exp` `unpow-prod-down` `pow-plus` `pow-prod-down` `pow-sqr` `pow-prod-up` `sqr-pow`

Counts

4 → 66

Calls

4 calls:

3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))
16.0ms	(pow (* (/ (cbrt x) (cbrt (+ x y))) (/ (cbrt x) (cbrt (+ x y)))) x)

series125.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(cbrt (+ x y))
30.0ms	(cbrt (+ x y))
29.0ms	(cbrt (+ x y))
36.0ms	(pow (* (/ (cbrt x) (cbrt (+ x y))) (/ (cbrt x) (cbrt (+ x y)))) x)

simplify56.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5013	943

prune126.0ms

Filtered

58 candidates to 78 candidates (-34.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	79	7	86

Merged error: 0.5b

Counts

86 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt (+ x y))
0.5b	(cbrt (+ x y))
1.9b	(log (/ (cbrt x) (cbrt (+ x y))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

56×	`cbrt-prod`
50×	`*-un-lft-identity`
48×	`log-prod`
42×	`times-frac`
34×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`distribute-lft-out`
7×	`add-exp-log`
6×	`cbrt-div`
5×	`pow1`
4×	`add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `pow1/3` `flip-+`
2×	`rem-log-exp` `associate-/r/`
1×	`log-div` `div-exp` `log-pow` `div-inv`

Counts

4 → 98

Calls

4 calls:

1.0ms	(cbrt x)
3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))
7.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

series105.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt x)
29.0ms	(cbrt (+ x y))
29.0ms	(cbrt (+ x y))
26.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

simplify75.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4908	1224
1	4908	1224

prune153.0ms

Filtered

77 candidates to 110 candidates (-42.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	110	7	117

Merged error: 0.5b

Counts

117 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)
6.0b	(pow (/ x (+ x y)) x)

rewrite14.0ms

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 x)
1.0ms	(cbrt x)
3.0ms	(cbrt x)
7.0ms	(pow (/ x (+ x y)) x)

series82.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt x)
21.0ms	(cbrt x)
21.0ms	(cbrt x)
17.0ms	(pow (/ x (+ x y)) x)

simplify84.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4926	720
1	4926	720

prune71.0ms

Filtered

56 candidates to 78 candidates (-39.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	78	7	85

Merged error: 0.5b

Counts

85 → 7

regimes129.0ms

Accuracy

16.6% (4.3b remaining)

Error of 4.9b against oracle of 0.7b and baseline of 5.8b

bsearch540.0ms

Steps

Iters	Range		Point
10	1.0535338254998307e+151	1.6750347067367524e+165	1.1647152521001902e+159
9	2.879526780490678e+86	3.1505108591876653e+91	3.164678549410275e+86
6	1.1596711588344699e+51	1.1897676745812978e+52	5.967650503494568e+51
9	0.8715315687916837	9168495.267225044	710.9535870360606

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	54	54
1	54	54

end0.0ms

analyze571.0ms

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
3.1%	90.5%	6.3%	6
4.7%	85.9%	9.5%	7
21.1%	64%	14.9%	8
23.4%	58.9%	17.7%	9
27.7%	51.3%	21%	10
28.9%	48.5%	22.6%	11
31.1%	44.4%	24.5%	12
31.7%	42.9%	25.4%	13
32.7%	41%	26.3%	14

sample1.9s

Algorithm

intervals

Results

716.0ms	1440×	body	1280	valid
377.0ms	1229×	body	640	valid
237.0ms	4307×	body	80	valid
132.0ms	649×	body	320	valid
63.0ms	219×	body	640	invalid
50.0ms	375×	body	160	valid
42.0ms	94×	body	1280	invalid
32.0ms	167×	body	320	invalid
13.0ms	108×	body	160	invalid
9.0ms	157×	body	80	invalid
8.0ms	190×	body	80	nan

Details

analyze574.0ms

sample63.0ms

simplify40.0ms

prune10.0ms

localize7.0ms

rewrite30.0ms

series45.0ms

simplify74.0ms

prune205.0ms

localize15.0ms

rewrite26.0ms

series125.0ms

simplify56.0ms

prune126.0ms

localize16.0ms

rewrite18.0ms

series105.0ms

simplify75.0ms

prune153.0ms

localize11.0ms

rewrite14.0ms

series82.0ms

simplify84.0ms

prune71.0ms

regimes129.0ms

bsearch540.0ms

simplify2.0ms

end0.0ms

analyze571.0ms

sample1.9s

Profiling