Details

analyze27.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
87.4%	12.5%	0.1%	6
87.4%	12.5%	0.1%	7
93.7%	6.2%	0.1%	8
93.7%	6.2%	0.1%	9
96.8%	3.1%	0.1%	10
96.8%	3.1%	0.1%	11
98.3%	1.6%	0.1%	12
98.3%	1.6%	0.1%	13
99.1%	0.8%	0.1%	14

sample20.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	238	5
1	238	5

prune11.0ms

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

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (/ y 200.0))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
3×	`*-un-lft-identity` `add-log-exp`
2×	`difference-of-squares`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `times-frac` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--`

Counts

1 → 14

Calls

1 calls:

6.0ms

(- x (/ y 200.0))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(- x (/ y 200.0))

simplify40.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5186	148

prune38.0ms

Filtered

13 candidates to 17 candidates (-30.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	15	2	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	3	18

Merged error: 0.0b

Counts

18 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- x (/ y 200.0)))
0.5b	(cbrt (- x (/ y 200.0)))
0.5b	(cbrt (- x (/ y 200.0)))
0.5b	(* (cbrt (- x (/ y 200.0))) (cbrt (- x (/ y 200.0))))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
50×	`cbrt-prod`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`difference-of-squares`
11×	`pow1` `swap-sqr`
9×	`flip3--` `pow1/3` `associate-r` `associate-l` `flip--` `distribute-lft-out--`
7×	`times-frac`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 107

Calls

4 calls:

11.0ms	(cbrt (- x (/ y 200.0)))
10.0ms	(cbrt (- x (/ y 200.0)))
10.0ms	(cbrt (- x (/ y 200.0)))
33.0ms	(* (cbrt (- x (/ y 200.0))) (cbrt (- x (/ y 200.0))))

series149.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(cbrt (- x (/ y 200.0)))
35.0ms	(cbrt (- x (/ y 200.0)))
38.0ms	(cbrt (- x (/ y 200.0)))
40.0ms	(* (cbrt (- x (/ y 200.0))) (cbrt (- x (/ y 200.0))))

simplify56.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5238	1444

prune223.0ms

Filtered

83 candidates to 119 candidates (-43.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	119	3	122

Merged error: 0.0b

Counts

122 → 3

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ y 200.0))
0.0b	(sqrt (- x (/ y 200.0)))
0.0b	(sqrt (- x (/ y 200.0)))
0.3b	(* (sqrt (- x (/ y 200.0))) (sqrt (- x (/ y 200.0))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt`
46×	`sqrt-prod`
34×	`*-un-lft-identity`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `difference-of-squares`
13×	`swap-sqr`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3--` `associate-r` `associate-l` `flip--` `distribute-lft-out--`
7×	`times-frac`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`pow2` `sub-neg` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 118

Calls

4 calls:

6.0ms	(- x (/ y 200.0))
6.0ms	(sqrt (- x (/ y 200.0)))
6.0ms	(sqrt (- x (/ y 200.0)))
17.0ms	(* (sqrt (- x (/ y 200.0))) (sqrt (- x (/ y 200.0))))

series28.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(- x (/ y 200.0))
10.0ms	(sqrt (- x (/ y 200.0)))
10.0ms	(sqrt (- x (/ y 200.0)))
4.0ms	(* (sqrt (- x (/ y 200.0))) (sqrt (- x (/ y 200.0))))

simplify49.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5117	1264

prune164.0ms

Filtered

77 candidates to 130 candidates (-68.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	130	3	133

Merged error: 0.0b

Counts

133 → 3

regimes150.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	47	5
1	47	5

end0.0ms

sample291.0ms

Algorithm

intervals

Results

160.0ms

8000×

body

valid

Details

analyze27.0ms

sample20.0ms

simplify19.0ms

prune11.0ms

localize6.0ms

rewrite7.0ms

series4.0ms

simplify40.0ms

prune38.0ms

localize13.0ms

rewrite69.0ms

series149.0ms

simplify56.0ms

prune223.0ms

localize6.0ms

rewrite42.0ms

series28.0ms

simplify49.0ms

prune164.0ms

regimes150.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample291.0ms

Profiling