Details

analyze67.0ms

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
50%	50%	0.1%	6
56.2%	40.6%	3.2%	7
68.7%	25%	6.3%	8
71.8%	19.5%	8.7%	9
78%	12.5%	9.5%	10
79.6%	9.6%	10.8%	11
82.7%	6.2%	11%	12
83.5%	4.7%	11.8%	13
85.1%	3.1%	11.8%	14

sample14.0ms

Algorithm

intervals

Results

7.0ms	254×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	4×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	42	7
1	42	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

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ 10.0 (+ d2 20.0)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `associate-r`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube` `distribute-lft-out`
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 → 24

Calls

1 calls:

7.0ms

(* d1 (+ 10.0 (+ d2 20.0)))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(* d1 (+ 10.0 (+ d2 20.0)))

simplify48.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5342	212

prune34.0ms

Filtered

17 candidates to 27 candidates (-58.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	3	28

Merged error: 0.0b

Counts

28 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 10.0 (+ d2 20.0)))
0.0b	(sqrt (+ 10.0 (+ d2 20.0)))
0.1b	(* d1 (sqrt (+ 10.0 (+ d2 20.0))))
0.2b	(* (* d1 (sqrt (+ 10.0 (+ d2 20.0)))) (sqrt (+ 10.0 (+ d2 20.0))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
21×	`sqrt-prod`
18×	`sqrt-div`
17×	`add-sqr-sqrt`
16×	`associate-r`
13×	`pow1`
12×	`distribute-lft-out`
11×	`add-exp-log` `add-cube-cbrt` `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 → 91

Calls

4 calls:

5.0ms	(sqrt (+ 10.0 (+ d2 20.0)))
5.0ms	(sqrt (+ 10.0 (+ d2 20.0)))
9.0ms	(* d1 (sqrt (+ 10.0 (+ d2 20.0))))
15.0ms	(* (* d1 (sqrt (+ 10.0 (+ d2 20.0)))) (sqrt (+ 10.0 (+ d2 20.0))))

series20.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt (+ 10.0 (+ d2 20.0)))
3.0ms	(sqrt (+ 10.0 (+ d2 20.0)))
8.0ms	(* d1 (sqrt (+ 10.0 (+ d2 20.0))))
5.0ms	(* (* d1 (sqrt (+ 10.0 (+ d2 20.0)))) (sqrt (+ 10.0 (+ d2 20.0))))

simplify38.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5090	1263

prune135.0ms

Filtered

67 candidates to 103 candidates (-53.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	103	3	106

Merged error: 0.0b

Counts

106 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (+ 10.0 (+ d2 20.0)) (sqrt d1))
0.2b	(* (sqrt d1) (* (+ 10.0 (+ d2 20.0)) (sqrt d1)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `associate-l`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt` `associate-r` `sqrt-prod`
4×	`pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out`
2×	`flip3-+` `associate-r/` `-commutative` `flip-+` `add-log-exp` `unswap-sqr`

Counts

2 → 49

Calls

2 calls:

8.0ms	(* (+ 10.0 (+ d2 20.0)) (sqrt d1))
10.0ms	(* (sqrt d1) (* (+ 10.0 (+ d2 20.0)) (sqrt d1)))

series12.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(* (+ 10.0 (+ d2 20.0)) (sqrt d1))
6.0ms	(* (sqrt d1) (* (+ 10.0 (+ d2 20.0)) (sqrt d1)))

simplify36.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5086	537

prune54.0ms

Filtered

40 candidates to 55 candidates (-37.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	55	3	58

Merged error: 0.0b

Counts

58 → 3

regimes67.0ms

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	10	7
1	10	7

end0.0ms

sample356.0ms

Algorithm

intervals

Results

218.0ms	7859×	body	80	valid
7.0ms	59×	body	1280	valid
5.0ms	51×	body	640	valid
3.0ms	99×	body	80	invalid
2.0ms	22×	body	320	valid
0.0ms	9×	body	160	valid

Details

analyze67.0ms

sample14.0ms

simplify3.0ms

prune6.0ms

localize4.0ms

rewrite8.0ms

series5.0ms

simplify48.0ms

prune34.0ms

localize7.0ms

rewrite38.0ms

series20.0ms

simplify38.0ms

prune135.0ms

localize8.0ms

rewrite20.0ms

series12.0ms

simplify36.0ms

prune54.0ms

regimes67.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample356.0ms

Profiling