Details

analyze591.0ms

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

sample71.0ms

Algorithm

intervals

Results

27.0ms	56×	body	1280	valid
13.0ms	43×	body	640	valid
6.0ms	126×	body	80	valid
4.0ms	18×	body	320	valid
4.0ms	8×	body	1280	invalid
2.0ms	8×	body	640	invalid
1.0ms	8×	body	320	invalid
1.0ms	13×	body	160	valid
1.0ms	5×	body	160	invalid
0.0ms	9×	body	80	nan
0.0ms	6×	body	80	invalid

simplify34.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4985	9
1	4985	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: 10.3b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x y))
0.0b	(/ (pow (/ x (+ x y)) x) x)
5.6b	(pow (/ x (+ x y)) x)

rewrite33.0ms

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:

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

series42.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(/ x (+ x y))
20.0ms	(/ (pow (/ x (+ x y)) x) x)
17.0ms	(pow (/ x (+ x y)) x)

simplify65.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5011	2849

prune193.0ms

Filtered

134 candidates to 181 candidates (-35.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	174	7	181
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	175	7	182

Merged error: 0.4b

Counts

182 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (+ x y))
5.6b	(pow (/ x (+ x y)) x)

rewrite13.0ms

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:

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

series25.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/ x (+ x y))
20.0ms	(pow (/ x (+ x y)) x)

simplify43.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5028	860

prune93.0ms

Filtered

51 candidates to 72 candidates (-41.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	72	7	79

Merged error: 0.4b

Counts

79 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ (pow (/ x (+ x y)) x) x))
5.6b	(pow (/ x (+ x y)) x)
5.6b	(pow (/ x (+ x y)) x)
5.6b	(pow (/ x (+ x y)) x)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
117×	`*-un-lft-identity`
108×	`unpow-prod-down`
81×	`add-sqr-sqrt` `add-cube-cbrt`
70×	`cbrt-prod`
18×	`distribute-lft-out`
13×	`add-exp-log`
12×	`associate-/r/`
9×	`pow-unpow`
7×	`pow1` `div-inv`
6×	`flip3-+` `pow-exp` `flip-+` `sqr-pow`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-to-exp` `pow-pow` `div-exp`
1×	`cbrt-div` `pow1/3`

Counts

4 → 178

Calls

4 calls:

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

series95.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(cbrt (/ (pow (/ x (+ x y)) x) x))
17.0ms	(pow (/ x (+ x y)) x)
21.0ms	(pow (/ x (+ x y)) x)
18.0ms	(pow (/ x (+ x y)) x)

simplify70.0ms

Algorithm

egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4978	3840
1	4978	3840

prune246.0ms

Filtered

143 candidates to 190 candidates (-32.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	187	3	190
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	189	8	197

Merged error: 0.4b

Counts

197 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
5.6b	(pow (/ x (+ x y)) x)

rewrite11.0ms

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

series84.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt x)
21.0ms	(cbrt x)
24.0ms	(cbrt x)
17.0ms	(pow (/ x (+ x y)) x)

simplify45.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4995	738
1	4995	738

prune76.0ms

Filtered

56 candidates to 78 candidates (-39.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	78	8	86

Merged error: 0.4b

Counts

86 → 8

regimes148.0ms

Accuracy

53.3% (5.0b remaining)

Error of 5.8b against oracle of 0.8b and baseline of 11.5b

bsearch157.0ms

Steps

Iters	Range	Point
8	1.1156560260330525e+115	1.2797668070367967e+119	1.2585632689113307e+119
8	7.643142186671551e+18	1.9652488565180577e+22	7.745671602444141e+18
8	-4.3391136507944703e+136	-2.711971991556639e+132	-2.7506651735342347e+132

Iters

Range

Point

1.1156560260330525e+115

1.2797668070367967e+119

1.2585632689113307e+119

7.643142186671551e+18

1.9652488565180577e+22

7.745671602444141e+18

-4.3391136507944703e+136

-2.711971991556639e+132

-2.7506651735342347e+132

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	100	107
1	100	107

end0.0ms

sample1.8s

Algorithm

intervals

Results

687.0ms	1404×	body	1280	valid
359.0ms	1206×	body	640	valid
239.0ms	4413×	body	80	valid
121.0ms	625×	body	320	valid
71.0ms	254×	body	640	invalid
52.0ms	120×	body	1280	invalid
43.0ms	352×	body	160	valid
39.0ms	209×	body	320	invalid
11.0ms	99×	body	160	invalid
7.0ms	136×	body	80	invalid
7.0ms	183×	body	80	nan

Details

analyze591.0ms

sample71.0ms

simplify34.0ms

prune7.0ms

localize6.0ms

rewrite33.0ms

series42.0ms

simplify65.0ms

prune193.0ms

localize7.0ms

rewrite13.0ms

series25.0ms

simplify43.0ms

prune93.0ms

localize14.0ms

rewrite40.0ms

series95.0ms

simplify70.0ms

prune246.0ms

localize11.0ms

rewrite11.0ms

series84.0ms

simplify45.0ms

prune76.0ms

regimes148.0ms

bsearch157.0ms

simplify2.0ms

end0.0ms

sample1.8s

Profiling