Details

analyze68.0ms

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
50%	50%	0.1%	5
50%	50%	0.1%	6
62.4%	34.3%	3.2%	7
62.4%	32.8%	4.8%	8
68.7%	21.1%	10.2%	9
68.7%	19.1%	12.2%	10
71.8%	11.5%	16.7%	11
71.8%	10.2%	18%	12
73.4%	6%	20.6%	13
73.4%	5.3%	21.3%	14

sample11.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	14×	body	80	invalid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	2
1	6	2

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 9.8b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

9.5b	(/ x (* y y))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-/l`
2×	`cbrt-undiv` `div-exp`
1×	`pow1` `frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv` `add-log-exp`

Counts

1 → 21

Calls

1 calls:

4.0ms

(/ x (* y y))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(/ x (* y y))

simplify92.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	99	86
1	320	71
2	952	71
3	4497	71
4	5001	71

prune38.0ms

Filtered

16 candidates to 24 candidates (-50.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	18	6	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	7	25

Merged error: 0.0b

Counts

25 → 7

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b	(/ (/ x y) y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
43×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`associate-/l*`
6×	`add-exp-log` `add-cbrt-cube`
5×	`div-inv`
3×	`cbrt-undiv` `div-exp` `associate-/r*`
1×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`

Counts

1 → 70

Calls

1 calls:

6.0ms

(/ (/ x y) y)

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(/ (/ x y) y)

simplify34.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	311	449
1	1180	415
2	5002	406

prune66.0ms

Filtered

48 candidates to 73 candidates (-52.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	69	4	73
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	72	8	80

Merged error: 0.0b

Counts

80 → 8

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ 1 (/ y (/ x y)))
0.2b	(/ y (/ x y))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

471×	`times-frac`
229×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
57×	`associate-/r*`
28×	`add-exp-log`
22×	`div-inv`
18×	`div-exp`
16×	`add-cbrt-cube`
9×	`cbrt-undiv`
6×	`associate-/r/` `associate-/l*`
3×	`pow1` `rec-exp` `1-exp`
2×	`frac-2neg` `clear-num` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

2 → 274

Calls

2 calls:

14.0ms	(/ 1 (/ y (/ x y)))
6.0ms	(/ y (/ x y))

series7.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(/ 1 (/ y (/ x y)))
3.0ms	(/ y (/ x y))

simplify49.0ms

Algorithm

egg-herbie

Counts

280 → 280

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	953	2363
1	5001	2016

prune188.0ms

Filtered

159 candidates to 280 candidates (-76.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	278	2	280
Fresh	2	3	5
Picked	1	0	1
Done	0	2	2
Total	281	7	288

Merged error: 0b

Counts

288 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(* y (/ y x))
0.2b	(/ 1 (* y (/ y x)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log`
17×	`add-sqr-sqrt`
16×	`add-cbrt-cube`
13×	`times-frac` `associate-r`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`div-exp`
8×	`prod-exp`
7×	`pow1`
5×	`cbrt-undiv`
4×	`cbrt-unprod`
3×	`rec-exp` `1-exp` `associate-l` `associate-/l*`
2×	`pow-flip` `associate-*r/` `pow-prod-down` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `clear-num` `associate-/r` `associate-/r/` `-commutative` `inv-pow`

Counts

2 → 65

Calls

2 calls:

11.0ms	(* y (/ y x))
13.0ms	(/ 1 (* y (/ y x)))

series12.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(* y (/ y x))
6.0ms	(/ 1 (* y (/ y x)))

simplify44.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	256	278
1	1360	231
2	5001	221

prune140.0ms

Filtered

38 candidates to 71 candidates (-86.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	71	7	78

Merged error: 0b

Counts

78 → 7

regimes200.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	2

end0.0ms

analyze75.0ms

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
50%	50%	0.1%	5
50%	50%	0.1%	6
62.4%	34.3%	3.2%	7
62.4%	32.8%	4.8%	8
68.7%	21.1%	10.2%	9
68.7%	19.1%	12.2%	10
71.8%	11.5%	16.7%	11
71.8%	10.2%	18%	12
73.4%	6%	20.6%	13
73.4%	5.3%	21.3%	14

sample296.0ms

Algorithm

intervals

Results

162.0ms	8000×	body	80	valid
7.0ms	343×	body	80	invalid

Details

analyze68.0ms

sample11.0ms

simplify4.0ms

prune2.0ms

localize3.0ms

rewrite5.0ms

series5.0ms

simplify92.0ms

prune38.0ms

localize3.0ms

rewrite9.0ms

series5.0ms

simplify34.0ms

prune66.0ms

localize5.0ms

rewrite38.0ms

series7.0ms

simplify49.0ms

prune188.0ms

localize8.0ms

rewrite28.0ms

series12.0ms

simplify44.0ms

prune140.0ms

regimes200.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze75.0ms

sample296.0ms

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