Details

analyze90.0ms

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
25%	74.9%	0.1%	5
25%	56.2%	18.8%	6
25%	40.6%	34.4%	7
31.2%	31.2%	37.6%	8
39%	21.1%	39.9%	9
42.9%	16%	41.1%	10
47.2%	10.7%	42%	11
49.4%	8.1%	42.5%	12
51.6%	5.4%	43%	13
52.7%	4.1%	43.2%	14

sample11.0ms

Algorithm

intervals

Results

4.0ms	256×	body	80	valid
0.0ms	2×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	69	7
1	69	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

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) (+ x y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
8×	`pow1`
7×	`add-sqr-sqrt`
6×	`flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
5×	`add-cube-cbrt`
4×	`frac-times` `associate-r` `associate-l`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-r/` `associate-l/`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 40

Calls

1 calls:

8.0ms

(* (+ x y) (+ x y))

series4.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(* (+ x y) (+ x y))

simplify26.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5592	356

prune45.0ms

Filtered

22 candidates to 43 candidates (-95.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	39	4	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	4	44

Merged error: 0.0b

Counts

44 → 4

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (+ x y))
0.0b	(+ (* x (+ x y)) (* y (+ x y)))
0.0b	(* x (+ x y))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-*r/`
11×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`associate-r`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
6×	`associate-l`
5×	`add-log-exp`
4×	`distribute-rgt-in` `distribute-lft-in` `frac-add`
2×	`associate-+l+` `associate-+r+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `distribute-rgt-out` `sum-log`

Counts

3 → 66

Calls

3 calls:

5.0ms	(* y (+ x y))
7.0ms	(+ (* x (+ x y)) (* y (+ x y)))
5.0ms	(* x (+ x y))

series15.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(* y (+ x y))
6.0ms	(+ (* x (+ x y)) (* y (+ x y)))
4.0ms	(* x (+ x y))

simplify44.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4841	616
1	4841	616

prune62.0ms

Filtered

50 candidates to 75 candidates (-50.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	3	0	3
Picked	0	1	1
Done	0	0	0
Total	77	2	79

Merged error: 0b

Counts

79 → 2

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(* x (+ x (+ y y)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `associate-r`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube` `distribute-lft-out`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

8.0ms

(* x (+ x (+ y y)))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(* x (+ x (+ y y)))

simplify33.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4987	216
1	4987	216

prune19.0ms

Filtered

16 candidates to 27 candidates (-68.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	27	2	29

Merged error: 0b

Counts

29 → 2

regimes59.0ms

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	10	11
1	10	11

end0.0ms

sample257.0ms

Algorithm

intervals

Results

132.0ms	8000×	body	80	valid
4.0ms	81×	body	80	invalid

Details

analyze90.0ms

sample11.0ms

simplify3.0ms

prune2.0ms

localize3.0ms

rewrite9.0ms

series4.0ms

simplify26.0ms

prune45.0ms

localize5.0ms

rewrite19.0ms

series15.0ms

simplify44.0ms

prune62.0ms

localize8.0ms

rewrite9.0ms

series5.0ms

simplify33.0ms

prune19.0ms

regimes59.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample257.0ms

Profiling