Details

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

sample13.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	12×	body	80	invalid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	252	7
1	252	7

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: 6.5b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

11.0b

(/ 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))

simplify37.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5024	152

prune34.0ms

Filtered

16 candidates to 24 candidates (-50.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	21	3	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	4	25

Merged error: 0.0b

Counts

25 → 4

localize4.0ms

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)

simplify87.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4714	702
1	4714	702

prune66.0ms

Filtered

48 candidates to 73 candidates (-52.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	71	6	77

Merged error: 0b

Counts

77 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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:

7.0ms	(* y (/ y x))
6.0ms	(/ 1 (* y (/ y x)))

series7.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(* y (/ y x))
4.0ms	(/ 1 (* y (/ y x)))

simplify63.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5183	428

prune54.0ms

Filtered

38 candidates to 71 candidates (-86.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	71	6	77

Merged error: 0b

Counts

77 → 6

localize6.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ (/ 1 y) (/ y x))

rewrite24.0ms

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:

11.0ms

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

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

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

simplify91.0ms

Algorithm

egg-herbie

Counts

222 → 222

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5104	3055

prune157.0ms

Filtered

106 candidates to 222 candidates (-109.4%)

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

regimes196.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	7
1	16	7

end0.0ms

sample514.0ms

Algorithm

intervals

Results

375.0ms	8000×	body	80	valid
8.0ms	387×	body	80	invalid

Details

analyze75.0ms

sample13.0ms

simplify12.0ms

prune2.0ms

localize4.0ms

rewrite5.0ms

series5.0ms

simplify37.0ms

prune34.0ms

localize4.0ms

rewrite9.0ms

series5.0ms

simplify87.0ms

prune66.0ms

localize6.0ms

rewrite15.0ms

series7.0ms

simplify63.0ms

prune54.0ms

localize6.0ms

rewrite24.0ms

series8.0ms

simplify91.0ms

prune157.0ms

regimes196.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample514.0ms

Profiling