Details

analyze45.0ms

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
56.2%	43.7%	0.1%	6
65.6%	34.3%	0.1%	7
76.5%	23.4%	0.1%	8
82%	18%	0.1%	9
87.8%	12.1%	0.1%	10
90.7%	9.2%	0.1%	11
93.8%	6.1%	0.1%	12
95.3%	4.6%	0.1%	13
96.8%	3.1%	0.1%	14

sample15.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

prune4.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (+ x y) x)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity` `add-log-exp`
3×	`sum-log` `distribute-lft-out`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

1 → 15

Calls

1 calls:

5.0ms

(+ (+ x y) x)

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(+ (+ x y) x)

simplify54.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5128	116

prune16.0ms

Filtered

11 candidates to 18 candidates (-63.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	17	1	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	2	19

Merged error: 0.0b

Counts

19 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (+ x y))
0.0b	(+ x (+ x y))
0.2b	(* (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

65×	`*-un-lft-identity`
38×	`sqrt-prod`
30×	`distribute-lft-out`
23×	`add-sqr-sqrt`
18×	`pow1`
16×	`swap-sqr`
13×	`add-log-exp`
12×	`sqrt-div`
11×	`add-cube-cbrt`
8×	`sqrt-pow1` `flip3-+` `pow1/2` `associate-r` `associate-l` `flip-+`
6×	`sum-log`
5×	`add-exp-log` `pow-prod-up` `add-cbrt-cube`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`+-commutative` `associate-+r+` `associate-r/` `associate-l/`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

3 → 99

Calls

3 calls:

6.0ms	(+ x (+ x y))
8.0ms	(+ x (+ x y))
15.0ms	(* (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))))

series15.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(+ x (+ x y))
4.0ms	(+ x (+ x y))
7.0ms	(* (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))))

simplify48.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5358	833

prune61.0ms

Filtered

49 candidates to 108 candidates (-120.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	108	2	110

Merged error: 0.0b

Counts

110 → 2

regimes94.0ms

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	6	5
1	6	5

end0.0ms

sample244.0ms

Algorithm

intervals

Results

123.0ms	8000×	body	80	valid
0.0ms	6×	body	80	invalid

Details

analyze45.0ms

sample15.0ms

simplify3.0ms

prune4.0ms

localize4.0ms

rewrite6.0ms

series4.0ms

simplify54.0ms

prune16.0ms

localize6.0ms

rewrite32.0ms

series15.0ms

simplify48.0ms

prune61.0ms

regimes94.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample244.0ms

Profiling