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
0%	99.9%	0.1%	3
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
59.3%	40.6%	0.1%	6
76.5%	23.4%	0.1%	7
82%	18%	0.1%	8
87.8%	12.1%	0.1%	9
90.7%	9.2%	0.1%	10
93.8%	6.1%	0.1%	11
95.3%	4.6%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify45.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	781	7
1	781	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: 0.0b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/r*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 46

Calls

1 calls:

8.0ms

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

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

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

simplify36.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5063	538

prune38.0ms

Filtered

33 candidates to 49 candidates (-48.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	47	2	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	3	50

Merged error: 0b

Counts

50 → 3

localize5.0ms

Local error

Found 3 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 93

Calls

3 calls:

5.0ms	(/ y (+ x y))
5.0ms	(/ x (+ x y))
24.0ms	(- (/ x (+ x y)) (/ y (+ x y)))

series21.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(/ y (+ x y))
5.0ms	(/ x (+ x y))
12.0ms	(- (/ x (+ x y)) (/ y (+ x y)))

simplify48.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5553	1018

prune77.0ms

Filtered

73 candidates to 102 candidates (-39.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	103	2	105

Merged error: 0b

Counts

105 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (+ x y))
0.0b	(- (/ 1 (/ (+ x y) x)) (/ y (+ x y)))
0.4b	(/ 1 (/ (+ x y) x))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

129×	`times-frac`
109×	`*-un-lft-identity`
94×	`add-sqr-sqrt`
61×	`add-cube-cbrt`
20×	`associate-/r*`
17×	`distribute-lft-out`
16×	`add-exp-log`
10×	`add-cbrt-cube` `difference-of-squares`
8×	`div-exp`
7×	`div-inv`
6×	`associate-/l*`
5×	`add-log-exp`
4×	`pow1` `cbrt-undiv` `distribute-lft-out--`
3×	`associate-/r/`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`sub-neg` `flip3--` `pow-flip` `flip3-+` `diff-log` `frac-sub` `flip--` `flip-+` `inv-pow`

Counts

3 → 147

Calls

3 calls:

5.0ms	(/ y (+ x y))
47.0ms	(- (/ 1 (/ (+ x y) x)) (/ y (+ x y)))
7.0ms	(/ 1 (/ (+ x y) x))

series21.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(/ y (+ x y))
11.0ms	(- (/ 1 (/ (+ x y) x)) (/ y (+ x y)))
5.0ms	(/ 1 (/ (+ x y) x))

simplify59.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4983	1817
1	4983	1817

prune107.0ms

Filtered

94 candidates to 156 candidates (-66.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	156	2	158

Merged error: 0b

Counts

158 → 2

regimes88.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	16	7
1	16	7

end0.0ms

sample294.0ms

Algorithm

intervals

Results

175.0ms

8000×

body

valid

Details

analyze38.0ms

sample12.0ms

simplify45.0ms

prune2.0ms

localize4.0ms

rewrite9.0ms

series8.0ms

simplify36.0ms

prune38.0ms

localize5.0ms

rewrite36.0ms

series21.0ms

simplify48.0ms

prune77.0ms

localize6.0ms

rewrite65.0ms

series21.0ms

simplify59.0ms

prune107.0ms

regimes88.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample294.0ms

Profiling