Details

analyze38.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
56.2%	43.7%	0.1%	5
65.6%	34.3%	0.1%	6
79.6%	20.3%	0.1%	7
83.5%	16.4%	0.1%	8
90.1%	9.8%	0.1%	9
91.9%	8%	0.1%	10
95.1%	4.8%	0.1%	11
96%	4%	0.1%	12
97.5%	2.4%	0.1%	13
97.9%	2%	0.1%	14

sample13.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify127.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (125.0ms)

Iter	Nodes	Cost
0	2190	9
1	2190	9

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: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (- x y) (- 2.0 (+ x y)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
30×	`times-frac`
19×	`distribute-lft-out--`
14×	`add-cube-cbrt`
13×	`difference-of-squares`
6×	`associate-/r*` `distribute-lft-out`
5×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`pow1` `cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 58

Calls

1 calls:

9.0ms

(/ (- x y) (- 2.0 (+ x y)))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(/ (- x y) (- 2.0 (+ x y)))

simplify54.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4966	901
1	4966	901

prune60.0ms

Filtered

38 candidates to 61 candidates (-60.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	59	2	61
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	59	3	62

Merged error: 0b

Counts

62 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- 2.0 (+ x y)))
0.0b	(/ x (- 2.0 (+ x y)))
0.0b	(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

127×	`*-un-lft-identity`
64×	`times-frac`
59×	`add-sqr-sqrt`
41×	`distribute-lft-out--`
27×	`add-cube-cbrt`
14×	`distribute-lft-out` `difference-of-squares`
12×	`associate-/r*`
8×	`associate-/r/`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*`
5×	`flip3--` `flip--` `add-log-exp`
4×	`div-inv`
3×	`pow1` `distribute-rgt-out--`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `diff-log` `frac-sub` `sub-div`

Counts

3 → 115

Calls

3 calls:

7.0ms	(/ y (- 2.0 (+ x y)))
7.0ms	(/ x (- 2.0 (+ x y)))
35.0ms	(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

series27.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/ y (- 2.0 (+ x y)))
9.0ms	(/ x (- 2.0 (+ x y)))
11.0ms	(- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

simplify55.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5912	1672

prune127.0ms

Filtered

84 candidates to 124 candidates (-47.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	124	3	127

Merged error: 0b

Counts

127 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (/ (- x y) (sqrt (- 2.0 (+ x y)))) (sqrt (- 2.0 (+ x y))))
0.3b	(/ (- x y) (sqrt (- 2.0 (+ x y))))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

1068×	`*-un-lft-identity`
954×	`times-frac`
744×	`add-sqr-sqrt`
648×	`sqrt-prod`
328×	`add-cube-cbrt`
316×	`distribute-lft-out--`
208×	`difference-of-squares`
108×	`distribute-lft-out`
56×	`associate-/l*`
24×	`sqrt-div` `associate-/r/`
18×	`associate-/r*`
13×	`flip3--` `flip--`
12×	`div-inv`
9×	`add-exp-log` `add-cbrt-cube`
4×	`cbrt-undiv` `div-exp`
3×	`div-sub` `associate-/l/`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`

Counts

2 → 613

Calls

2 calls:

33.0ms	(/ (/ (- x y) (sqrt (- 2.0 (+ x y)))) (sqrt (- 2.0 (+ x y))))
11.0ms	(/ (- x y) (sqrt (- 2.0 (+ x y))))

series24.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(/ (/ (- x y) (sqrt (- 2.0 (+ x y)))) (sqrt (- 2.0 (+ x y))))
17.0ms	(/ (- x y) (sqrt (- 2.0 (+ x y))))

simplify165.0ms

Algorithm

egg-herbie

Counts

619 → 619

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5158	16366

prune410.0ms

Filtered

175 candidates to 619 candidates (-253.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	619	0	619
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	619	3	622

Merged error: 0b

Counts

622 → 3

regimes99.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	9
1	36	9

end0.0ms

sample327.0ms

Algorithm

intervals

Results

200.0ms

8000×

body

valid

Details

analyze38.0ms

sample13.0ms

simplify127.0ms

prune2.0ms

localize5.0ms

rewrite12.0ms

series7.0ms

simplify54.0ms

prune60.0ms

localize7.0ms

rewrite53.0ms

series27.0ms

simplify55.0ms

prune127.0ms

localize8.0ms

rewrite103.0ms

series24.0ms

simplify165.0ms

prune410.0ms

regimes99.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample327.0ms

Profiling