Details

analyze61.0ms

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

sample16.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	2×	body	80	invalid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	107	7
1	107	7

prune3.0ms

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:

4.0ms

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

simplify28.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5530	356

prune46.0ms

Filtered

22 candidates to 43 candidates (-95.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	3	44

Merged error: 0.0b

Counts

44 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite20.0ms

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

series14.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify57.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4707	620
1	4707	620

prune74.0ms

Filtered

49 candidates to 75 candidates (-53.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	1	0	1
Picked	0	1	1
Done	1	0	1
Total	76	2	78

Merged error: 0b

Counts

78 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

9.0ms	(* x (+ x (+ y y)))
9.0ms	(+ (* x (+ x (+ y y))) (* y y))

series12.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify46.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5538	383

prune43.0ms

Filtered

28 candidates to 43 candidates (-53.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	43	2	45

Merged error: 0b

Counts

45 → 2

regimes66.0ms

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	30	11
1	30	11

end0.0ms

sample295.0ms

Algorithm

intervals

Results

155.0ms	8000×	body	80	valid
2.0ms	102×	body	80	invalid

Details

analyze61.0ms

sample16.0ms

simplify5.0ms

prune3.0ms

localize3.0ms

rewrite9.0ms

series4.0ms

simplify28.0ms

prune46.0ms

localize6.0ms

rewrite20.0ms

series14.0ms

simplify57.0ms

prune74.0ms

localize8.0ms

rewrite19.0ms

series12.0ms

simplify46.0ms

prune43.0ms

regimes66.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample295.0ms

Profiling