Details

analyze572.0ms

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

sample61.0ms

Algorithm

intervals

Results

20.0ms	42×	body	1280	valid
13.0ms	44×	body	640	valid
7.0ms	134×	body	80	valid
4.0ms	23×	body	320	valid
2.0ms	6×	body	640	invalid
2.0ms	13×	body	160	valid
1.0ms	6×	body	320	invalid
1.0ms	2×	body	1280	invalid
0.0ms	4×	body	160	invalid
0.0ms	7×	body	80	invalid
0.0ms	3×	body	80	nan

simplify38.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4924	9
1	4924	9

prune7.0ms

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: 9.2b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (pow (/ x (+ x y)) x) x)
4.3b	(pow (/ x (+ x y)) x)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

126×	`times-frac`
100×	`*-un-lft-identity`
90×	`unpow-prod-down`
70×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`associate-/l*`
15×	`distribute-lft-out`
13×	`add-exp-log`
10×	`associate-/r/`
6×	`div-exp` `div-inv`
5×	`flip3-+` `flip-+` `sqr-pow`
4×	`pow-exp` `add-cbrt-cube`
3×	`pow1` `pow-unpow` `associate-/r*`
2×	`pow-to-exp` `add-log-exp`
1×	`cbrt-undiv` `pow-pow` `frac-2neg` `clear-num`

Counts

2 → 139

Calls

2 calls:

14.0ms	(/ (pow (/ x (+ x y)) x) x)
7.0ms	(pow (/ x (+ x y)) x)

series38.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(/ (pow (/ x (+ x y)) x) x)
17.0ms	(pow (/ x (+ x y)) x)

simplify69.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4961	2562
1	4961	2562

prune154.0ms

Filtered

109 candidates to 145 candidates (-33.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	138	7	145
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	139	7	146

Merged error: 0.5b

Counts

146 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(pow (* (/ (cbrt x) (cbrt (+ x y))) (/ (cbrt x) (cbrt (+ x y)))) x)

rewrite24.0ms

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 x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
19.0ms	(pow (* (/ (cbrt x) (cbrt (+ x y))) (/ (cbrt x) (cbrt (+ x y)))) x)

series101.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt x)
21.0ms	(cbrt x)
22.0ms	(cbrt x)
34.0ms	(pow (* (/ (cbrt x) (cbrt (+ x y))) (/ (cbrt x) (cbrt (+ x y)))) x)

simplify39.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5804	690

prune95.0ms

Filtered

46 candidates to 69 candidates (-50.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	69	7	76

Merged error: 0.5b

Counts

76 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
4.3b	(pow (/ x (+ x y)) (* (cbrt x) (cbrt x)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
18×	`unpow-prod-down`
15×	`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×	`pow1/3` `distribute-lft-out`
2×	`pow-exp` `associate-/r/`
1×	`pow-to-exp` `pow-unpow` `pow-pow` `flip3-+` `div-exp` `flip-+` `div-inv` `sqr-pow`

Counts

4 → 64

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
6.0ms	(pow (/ x (+ x y)) (* (cbrt x) (cbrt x)))

series228.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt x)
21.0ms	(cbrt x)
21.0ms	(cbrt x)
164.0ms	(pow (/ x (+ x y)) (* (cbrt x) (cbrt x)))

simplify55.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4892	652
1	4892	652

prune119.0ms

Filtered

56 candidates to 76 candidates (-35.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	74	2	76
Fresh	1	4	5
Picked	1	0	1
Done	1	0	1
Total	77	6	83

Merged error: 0.5b

Counts

83 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
4.2b	(pow (/ x (+ x y)) (cbrt x))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
18×	`unpow-prod-down`
17×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`cbrt-prod` `times-frac`
7×	`add-exp-log`
6×	`pow-unpow`
5×	`pow1`
4×	`add-cbrt-cube` `add-log-exp`
3×	`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 → 69

Calls

4 calls:

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

series201.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt x)
22.0ms	(cbrt x)
23.0ms	(cbrt x)
135.0ms	(pow (/ x (+ x y)) (cbrt x))

simplify39.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5079	663

prune92.0ms

Filtered

57 candidates to 81 candidates (-42.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	81	6	87

Merged error: 0.5b

Counts

87 → 6

regimes117.0ms

Accuracy

17.6% (7.3b remaining)

Error of 8.0b against oracle of 0.7b and baseline of 9.6b

bsearch398.0ms

Steps

Iters	Range		Point
7	4.642534152286939e+115	1.0510217154358375e+117	5.264348161777968e+115
8	1.448699237388205e+59	1.3330862937231189e+62	1.3132932824772298e+62
9	175.03723390709962	675570258.6559858	562.7291412801162

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	30
1	33	30

end0.0ms

analyze564.0ms

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

sample1.8s

Algorithm

intervals

Results

689.0ms	1382×	body	1280	valid
362.0ms	1190×	body	640	valid
244.0ms	4416×	body	80	valid
125.0ms	636×	body	320	valid
72.0ms	246×	body	640	invalid
47.0ms	376×	body	160	valid
40.0ms	92×	body	1280	invalid
34.0ms	177×	body	320	invalid
14.0ms	120×	body	160	invalid
9.0ms	162×	body	80	invalid
8.0ms	192×	body	80	nan

Details

analyze572.0ms

sample61.0ms

simplify38.0ms

prune7.0ms

localize7.0ms

rewrite28.0ms

series38.0ms

simplify69.0ms

prune154.0ms

localize14.0ms

rewrite24.0ms

series101.0ms

simplify39.0ms

prune95.0ms

localize12.0ms

rewrite11.0ms

series228.0ms

simplify55.0ms

prune119.0ms

localize11.0ms

rewrite12.0ms

series201.0ms

simplify39.0ms

prune92.0ms

regimes117.0ms

bsearch398.0ms

simplify1.0ms

end0.0ms

analyze564.0ms

sample1.8s

Profiling