Details

analyze105.0ms

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%	62.4%	12.6%	6
25%	46.8%	28.2%	7
31.2%	35.9%	32.9%	8
39%	25%	36%	9
42.9%	18.7%	38.3%	10
47.2%	12.9%	39.9%	11
49.4%	9.6%	41.1%	12
51.6%	6.5%	41.9%	13
52.7%	4.8%	42.4%	14

sample16.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
0.0ms	6×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	37	11
1	37	11

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
0.0b	(+ (* x x) (* (* x 2.0) y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+`

Counts

2 → 24

Calls

2 calls:

6.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
4.0ms	(+ (* x x) (* (* x 2.0) y))

series12.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
6.0ms	(+ (* x x) (* (* x 2.0) y))

simplify43.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4985	373
1	4985	373

prune39.0ms

Filtered

21 candidates to 30 candidates (-42.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	29	1	30
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	29	3	32

Merged error: 0b

Counts

32 → 3

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(* y (+ (* x 2.0) y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
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 → 22

Calls

1 calls:

6.0ms

(* y (+ (* x 2.0) y))

series7.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(* y (+ (* x 2.0) y))

simplify48.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5052	216

prune32.0ms

Filtered

19 candidates to 25 candidates (-31.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	25	3	28

Merged error: 0b

Counts

28 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* y (+ y (* x 2.0)))) (cbrt (* y (+ y (* x 2.0)))))
9.8b	(cbrt (* y (+ y (* x 2.0))))
9.8b	(cbrt (* y (+ y (* x 2.0))))
9.8b	(cbrt (* y (+ y (* x 2.0))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

6.0ms	(* (cbrt (* y (+ y (* x 2.0)))) (cbrt (* y (+ y (* x 2.0)))))
4.0ms	(cbrt (* y (+ y (* x 2.0))))
4.0ms	(cbrt (* y (+ y (* x 2.0))))
4.0ms	(cbrt (* y (+ y (* x 2.0))))

series171.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (cbrt (* y (+ y (* x 2.0)))) (cbrt (* y (+ y (* x 2.0)))))
42.0ms	(cbrt (* y (+ y (* x 2.0))))
41.0ms	(cbrt (* y (+ y (* x 2.0))))
42.0ms	(cbrt (* y (+ y (* x 2.0))))

simplify47.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5455	1001

prune152.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	84	3	87

Merged error: 0b

Counts

87 → 3

regimes108.0ms

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	13	13
1	13	13

end0.0ms

analyze100.0ms

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%	62.4%	12.6%	6
25%	46.8%	28.2%	7
31.2%	35.9%	32.9%	8
39%	25%	36%	9
42.9%	18.7%	38.3%	10
47.2%	12.9%	39.9%	11
49.4%	9.6%	41.1%	12
51.6%	6.5%	41.9%	13
52.7%	4.8%	42.4%	14

sample409.0ms

Algorithm

intervals

Results

278.0ms	8000×	body	80	valid
7.0ms	201×	body	80	invalid

Details

analyze105.0ms

sample16.0ms

simplify3.0ms

prune7.0ms

localize8.0ms

rewrite10.0ms

series12.0ms

simplify43.0ms

prune39.0ms

localize7.0ms

rewrite7.0ms

series7.0ms

simplify48.0ms

prune32.0ms

localize10.0ms

rewrite20.0ms

series171.0ms

simplify47.0ms

prune152.0ms

regimes108.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze100.0ms

sample409.0ms

Profiling