Details

analyze53.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
25%	62.4%	12.6%	4
37.5%	43.7%	18.8%	5
37.5%	34.3%	28.2%	6
43.7%	23.4%	32.9%	7
43.7%	18%	38.3%	8
46.8%	12.1%	41.1%	9
46.8%	9.2%	44%	10
48.4%	6.1%	45.5%	11
48.4%	4.6%	47%	12
49.2%	3.1%	47.7%	13
49.2%	2.3%	48.5%	14

sample27.0ms

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	5	4
1	5	4

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

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(sqrt (+ x y))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity` `sqrt-prod`
3×	`add-sqr-sqrt`
2×	`pow1` `add-cube-cbrt` `sqrt-div`
1×	`add-exp-log` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

1 → 16

Calls

1 calls:

3.0ms

(sqrt (+ x y))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(sqrt (+ x y))

simplify24.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5079	150

prune27.0ms

Filtered

14 candidates to 19 candidates (-35.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	17	2	19
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	3	20

Merged error: 0b

Counts

20 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x y))
0.1b	(sqrt (sqrt (+ x y)))
0.1b	(sqrt (sqrt (+ x y)))
0.5b	(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

110×	`sqrt-prod`
56×	`add-sqr-sqrt`
41×	`*-un-lft-identity` `sqrt-pow1`
34×	`sqrt-div`
32×	`pow1`
21×	`add-cube-cbrt` `pow1/2`
18×	`swap-sqr`
10×	`associate-r` `associate-l`
9×	`flip3-+` `pow-prod-up` `flip-+` `distribute-lft-out` `unswap-sqr`
6×	`add-exp-log` `add-cbrt-cube`
5×	`rem-sqrt-square` `pow-prod-down` `pow-sqr`
4×	`frac-times` `add-log-exp`
2×	`associate-r/` `associate-l/`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 148

Calls

4 calls:

3.0ms	(sqrt (+ x y))
4.0ms	(sqrt (sqrt (+ x y)))
4.0ms	(sqrt (sqrt (+ x y)))
16.0ms	(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

series49.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(sqrt (+ x y))
18.0ms	(sqrt (sqrt (+ x y)))
19.0ms	(sqrt (sqrt (+ x y)))
6.0ms	(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

simplify63.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4926	1247
1	4926	1247

prune108.0ms

Filtered

80 candidates to 160 candidates (-100.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	160	3	163

Merged error: 0b

Counts

163 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y))))
0.5b	(cbrt (sqrt (+ x y)))
0.5b	(cbrt (sqrt (+ x y)))
0.5b	(cbrt (sqrt (+ x y)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 120

Calls

4 calls:

22.0ms	(* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y))))
9.0ms	(cbrt (sqrt (+ x y)))
6.0ms	(cbrt (sqrt (+ x y)))
4.0ms	(cbrt (sqrt (+ x y)))

series88.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (cbrt (sqrt (+ x y))) (cbrt (sqrt (+ x y))))
20.0ms	(cbrt (sqrt (+ x y)))
21.0ms	(cbrt (sqrt (+ x y)))
21.0ms	(cbrt (sqrt (+ x y)))

simplify52.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4902	1452
1	4902	1452

prune107.0ms

Filtered

82 candidates to 132 candidates (-61.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	132	3	135

Merged error: 0b

Counts

135 → 3

regimes172.0ms

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	5	4
1	5	4

end0.0ms

sample580.0ms

Algorithm

intervals

Results

147.0ms

8000×

body

valid

Details

analyze53.0ms

sample27.0ms

simplify3.0ms

prune3.0ms

localize4.0ms

rewrite3.0ms

series6.0ms

simplify24.0ms

prune27.0ms

localize7.0ms

rewrite32.0ms

series49.0ms

simplify63.0ms

prune108.0ms

localize8.0ms

rewrite48.0ms

series88.0ms

simplify52.0ms

prune107.0ms

regimes172.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample580.0ms

Profiling