Details

analyze71.0ms

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
37.5%	62.4%	0.1%	6
43.7%	43.7%	12.6%	7
53.1%	34.3%	12.6%	8
57.8%	23.4%	18.8%	9
63.2%	18%	18.8%	10
66%	12.1%	22%	11
68.9%	9.2%	22%	12
70.3%	6.1%	23.5%	13
71.9%	4.6%	23.5%	14

sample12.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	7×	body	80	invalid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	3
1	20	3
2	22	3
3	22	3

prune2.0ms

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: 5.3b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

5.0b	(* x (+ 1.0 (* y y)))

rewrite5.0ms

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:

5.0ms

(* x (+ 1.0 (* y y)))

series11.0ms

Counts

1 → 3

Calls

1 calls:

11.0ms

(* x (+ 1.0 (* y y)))

simplify77.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	144	115
1	712	101
2	3303	100
3	5003	100

prune36.0ms

Filtered

17 candidates to 25 candidates (-47.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	22	3	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	4	26

Merged error: 5.2b

Counts

26 → 4

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (sqrt (+ 1.0 (* y y))))
0.1b	(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
5.0b	(sqrt (+ 1.0 (* y y)))
5.0b	(sqrt (+ 1.0 (* y y)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

18×	`sqrt-div`
17×	`add-sqr-sqrt`
13×	`pow1` `sqrt-prod`
12×	`associate-r`
11×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3-+` `flip-+`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

6.0ms	(* x (sqrt (+ 1.0 (* y y))))
12.0ms	(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
2.0ms	(sqrt (+ 1.0 (* y y)))
2.0ms	(sqrt (+ 1.0 (* y y)))

series27.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* x (sqrt (+ 1.0 (* y y))))
10.0ms	(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
3.0ms	(sqrt (+ 1.0 (* y y)))
4.0ms	(sqrt (+ 1.0 (* y y)))

simplify40.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	306	681
1	1316	604
2	5002	594

prune138.0ms

Filtered

67 candidates to 95 candidates (-41.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	94	5	99

Merged error: 5.1b

Counts

99 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

5.0b	(sqrt (+ 1.0 (* y y)))
5.0b	(sqrt (+ 1.0 (* y y)))
5.0b	(sqrt (+ 1.0 (* y y)))
5.0b	(sqrt (+ 1.0 (* y y)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

2.0ms	(sqrt (+ 1.0 (* y y)))
2.0ms	(sqrt (+ 1.0 (* y y)))
2.0ms	(sqrt (+ 1.0 (* y y)))
2.0ms	(sqrt (+ 1.0 (* y y)))

series14.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt (+ 1.0 (* y y)))
3.0ms	(sqrt (+ 1.0 (* y y)))
3.0ms	(sqrt (+ 1.0 (* y y)))
4.0ms	(sqrt (+ 1.0 (* y y)))

simplify63.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	135	416
1	448	408
2	1981	400
3	5001	396

prune195.0ms

Filtered

60 candidates to 72 candidates (-20.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	72	5	77

Merged error: 5.1b

Counts

77 → 5

localize2.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	3	3
Total	5	5

Merged error: 5.1b

Counts

5 → 5

regimes210.0ms

Accuracy

0% (0.2b remaining)

Error of 5.2b against oracle of 5.0b and baseline of 5.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	8
1	11	8

end0.0ms

analyze68.0ms

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
37.5%	62.4%	0.1%	6
43.7%	43.7%	12.6%	7
53.1%	34.3%	12.6%	8
57.8%	23.4%	18.8%	9
63.2%	18%	18.8%	10
66%	12.1%	22%	11
68.9%	9.2%	22%	12
70.3%	6.1%	23.5%	13
71.9%	4.6%	23.5%	14

sample303.0ms

Algorithm

intervals

Results

181.0ms	8000×	body	80	valid
4.0ms	193×	body	80	invalid

Details

analyze71.0ms

sample12.0ms

simplify5.0ms

prune2.0ms

localize4.0ms

rewrite5.0ms

series11.0ms

simplify77.0ms

prune36.0ms

localize6.0ms

rewrite25.0ms

series27.0ms

simplify40.0ms

prune138.0ms

localize10.0ms

rewrite11.0ms

series14.0ms

simplify63.0ms

prune195.0ms

localize2.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune0.0ms

regimes210.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze68.0ms

sample303.0ms

Profiling