Details

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
25%	62.4%	12.6%	6
25%	40.6%	34.4%	7
31.2%	25%	43.8%	8
39%	17.2%	43.8%	9
42.9%	13.3%	43.8%	10
47.2%	9%	43.8%	11
49.4%	6.8%	43.8%	12
51.6%	4.6%	43.8%	13
52.7%	3.5%	43.8%	14

sample27.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	23	9
1	23	9

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ x 2.0))
0.0b	(+ (* x (+ x 2.0)) (* y y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

5.0ms	(* x (+ x 2.0))
6.0ms	(+ (* x (+ x 2.0)) (* y y))

series10.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(* x (+ x 2.0))
6.0ms	(+ (* x (+ x 2.0)) (* y y))

simplify38.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4972	350
1	4972	350

prune45.0ms

Filtered

27 candidates to 42 candidates (-55.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	41	3	44

Merged error: 0b

Counts

44 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x (+ x 2.0)) (* y y))) (cbrt (+ (* x (+ x 2.0)) (* y y))))
0.6b	(cbrt (+ (* x (+ x 2.0)) (* y y)))
0.6b	(cbrt (+ (* x (+ x 2.0)) (* y y)))
0.6b	(cbrt (+ (* x (+ x 2.0)) (* y y)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 87

Calls

4 calls:

15.0ms	(* (cbrt (+ (* x (+ x 2.0)) (* y y))) (cbrt (+ (* x (+ x 2.0)) (* y y))))
6.0ms	(cbrt (+ (* x (+ x 2.0)) (* y y)))
6.0ms	(cbrt (+ (* x (+ x 2.0)) (* y y)))
6.0ms	(cbrt (+ (* x (+ x 2.0)) (* y y)))

series144.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (cbrt (+ (* x (+ x 2.0)) (* y y))) (cbrt (+ (* x (+ x 2.0)) (* y y))))
36.0ms	(cbrt (+ (* x (+ x 2.0)) (* y y)))
35.0ms	(cbrt (+ (* x (+ x 2.0)) (* y y)))
35.0ms	(cbrt (+ (* x (+ x 2.0)) (* y y)))

simplify37.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5425	1816

prune192.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	99	3	102

Merged error: 0b

Counts

102 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (+ x 2.0)) (* y y))
0.0b	(sqrt (+ (* x (+ x 2.0)) (* y y)))
0.0b	(sqrt (+ (* x (+ x 2.0)) (* y y)))
0.1b	(* (sqrt (+ (* x (+ x 2.0)) (* y y))) (sqrt (+ (* x (+ x 2.0)) (* y y))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `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-+l+` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 100

Calls

4 calls:

6.0ms	(+ (* x (+ x 2.0)) (* y y))
6.0ms	(sqrt (+ (* x (+ x 2.0)) (* y y)))
6.0ms	(sqrt (+ (* x (+ x 2.0)) (* y y)))
18.0ms	(* (sqrt (+ (* x (+ x 2.0)) (* y y))) (sqrt (+ (* x (+ x 2.0)) (* y y))))

series34.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(+ (* x (+ x 2.0)) (* y y))
11.0ms	(sqrt (+ (* x (+ x 2.0)) (* y y)))
11.0ms	(sqrt (+ (* x (+ x 2.0)) (* y y)))
6.0ms	(* (sqrt (+ (* x (+ x 2.0)) (* y y))) (sqrt (+ (* x (+ x 2.0)) (* y y))))

simplify54.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4962	1436
1	4962	1436

prune125.0ms

Filtered

66 candidates to 112 candidates (-69.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	112	3	115

Merged error: 0b

Counts

115 → 3

regimes106.0ms

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	9
1	10	9

end0.0ms

sample738.0ms

Algorithm

intervals

Results

208.0ms

8000×

body

valid

Details

analyze68.0ms

sample27.0ms

simplify3.0ms

prune7.0ms

localize5.0ms

rewrite12.0ms

series10.0ms

simplify38.0ms

prune45.0ms

localize10.0ms

rewrite36.0ms

series144.0ms

simplify37.0ms

prune192.0ms

localize8.0ms

rewrite39.0ms

series34.0ms

simplify54.0ms

prune125.0ms

regimes106.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample738.0ms

Profiling