Details

analyze72.0ms

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
37.5%	40.6%	22%	7
46.8%	29.7%	23.5%	8
54.6%	21.1%	24.3%	9
60.1%	15.2%	24.7%	10
64.4%	10.7%	24.9%	11
67.3%	7.7%	25%	12
69.6%	5.4%	25%	13
71.1%	3.9%	25%	14

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	7
1	13	7

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 13

Calls

1 calls:

7.0ms

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

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

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

simplify31.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5153	148

prune21.0ms

Filtered

11 candidates to 16 candidates (-45.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	15	1	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	2	17

Merged error: 0b

Counts

17 → 2

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
14×	`sqrt-div` `add-log-exp`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`sqrt-pow1` `flip3-+` `pow1/2` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `sum-log` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`+-commutative` `associate-+r+` `associate-r/` `associate-l/`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

6.0ms	(sqrt (+ (* x x) (+ y y)))
6.0ms	(+ (* x x) (+ y y))
7.0ms	(+ (* x x) (+ y y))
16.0ms	(* (sqrt (+ (* x x) (+ y y))) (sqrt (+ (* x x) (+ y y))))

series22.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(sqrt (+ (* x x) (+ y y)))
4.0ms	(+ (* x x) (+ y y))
4.0ms	(+ (* x x) (+ y y))
5.0ms	(* (sqrt (+ (* x x) (+ y y))) (sqrt (+ (* x x) (+ y y))))

simplify35.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5371	1159

prune84.0ms

Filtered

62 candidates to 110 candidates (-77.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	110	2	112

Merged error: 0b

Counts

112 → 2

regimes105.0ms

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	7
1	6	7

end0.0ms

sample315.0ms

Algorithm

intervals

Results

181.0ms	8000×	body	80	valid
0.0ms	8×	body	80	invalid

Details

analyze72.0ms

sample12.0ms

simplify3.0ms

prune6.0ms

localize5.0ms

rewrite7.0ms

series5.0ms

simplify31.0ms

prune21.0ms

localize7.0ms

rewrite38.0ms

series22.0ms

simplify35.0ms

prune84.0ms

regimes105.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample315.0ms

Profiling