Details

analyze96.0ms

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

sample15.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
0.0ms	12×	body	80	invalid

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: 11.4b

Counts

2 → 1

localize3.0ms

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))

simplify35.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5024	152

prune31.0ms

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

localize5.0ms

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)

simplify83.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4714	702
1	4714	702

prune60.0ms

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

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
25×	`times-frac`
23×	`add-exp-log`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
13×	`associate-r` `associate-l` `add-cbrt-cube`
8×	`div-exp` `prod-exp`
6×	`unswap-sqr`
4×	`cbrt-undiv` `cbrt-unprod`
3×	`pow1`
2×	`rec-exp` `1-exp` `div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `add-log-exp`

Counts

1 → 56

Calls

1 calls:

10.0ms

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

series4.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

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

simplify64.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5420	410

prune48.0ms

Filtered

34 candidates to 59 candidates (-73.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	59	6	65

Merged error: 0b

Counts

65 → 6

localize4.0ms

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)))

simplify61.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5183	428

prune44.0ms

Filtered

38 candidates to 71 candidates (-86.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

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

Merged error: 0b

Counts

77 → 6

regimes157.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	4	5
1	4	5

end0.0ms

sample286.0ms

Algorithm

intervals

Results

151.0ms	8000×	body	80	valid
7.0ms	387×	body	80	invalid

Details

analyze96.0ms

sample15.0ms

simplify3.0ms

prune2.0ms

localize3.0ms

rewrite5.0ms

series5.0ms

simplify35.0ms

prune31.0ms

localize5.0ms

rewrite9.0ms

series5.0ms

simplify83.0ms

prune60.0ms

localize4.0ms

rewrite12.0ms

series4.0ms

simplify64.0ms

prune48.0ms

localize4.0ms

rewrite14.0ms

series7.0ms

simplify61.0ms

prune44.0ms

regimes157.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample286.0ms

Profiling