Details

analyze65.0ms

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

sample22.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	5
1	6	5

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: 8.5b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

8.3b	(/ 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))

simplify36.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5024	152

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:

5.0ms

(/ (/ x y) y)

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(/ (/ x y) y)

simplify88.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4714	702
1	4714	702

prune67.0ms

Filtered

45 candidates to 73 candidates (-62.2%)

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: 0b

Counts

80 → 8

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b	(* y (/ y x))
0.6b	(/ 1 (* y (/ y x)))

rewrite14.0ms

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:

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

series7.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify64.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5183	428

prune55.0ms

Filtered

39 candidates to 71 candidates (-82.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	3	2	5
Picked	0	1	1
Done	0	2	2
Total	73	6	79

Merged error: 0b

Counts

79 → 6

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

421×	`times-frac`
197×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
29×	`div-inv`
23×	`add-exp-log`
16×	`div-exp`
13×	`associate-/r` `add-cbrt-cube` `associate-/l`
8×	`cbrt-undiv`
2×	`rec-exp` `1-exp`
1×	`pow1` `frac-2neg` `clear-num` `associate-/r/` `associate-/l/` `add-log-exp`

Counts

1 → 219

Calls

1 calls:

12.0ms

(/ (/ 1 y) (/ y x))

series4.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(/ (/ 1 y) (/ y x))

simplify88.0ms

Algorithm

egg-herbie

Counts

222 → 222

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5104	3055

prune146.0ms

Filtered

107 candidates to 222 candidates (-107.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	222	0	222
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	222	6	228

Merged error: 0b

Counts

228 → 6

regimes161.0ms

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	5
1	4	5

end0.0ms

sample546.0ms

Algorithm

intervals

Results

131.0ms

8000×

body

valid

Details

analyze65.0ms

sample22.0ms

simplify3.0ms

prune2.0ms

localize3.0ms

rewrite5.0ms

series5.0ms

simplify36.0ms

prune38.0ms

localize3.0ms

rewrite9.0ms

series5.0ms

simplify88.0ms

prune67.0ms

localize5.0ms

rewrite14.0ms

series7.0ms

simplify64.0ms

prune55.0ms

localize4.0ms

rewrite25.0ms

series4.0ms

simplify88.0ms

prune146.0ms

regimes161.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample546.0ms

Profiling