Details

analyze276.0ms

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
31.2%	68.6%	0.1%	7
40.6%	59.3%	0.1%	8
43.7%	56.2%	0.1%	9
56.6%	43.3%	0.1%	10
61%	37.3%	1.7%	11
62.1%	34.8%	3.1%	12
68.6%	25.6%	5.8%	13
70.6%	22.1%	7.4%	14

sample17.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
1.0ms	54×	body	80	invalid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	356	7
1	356	7

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (- y x) z))
0.0b	(/ (- y x) z)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/l*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`associate-/r*`
2×	`pow1` `div-sub` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `sum-log` `flip--` `flip-+` `div-inv` `distribute-lft-out`

Counts

2 → 51

Calls

2 calls:

8.0ms	(+ x (/ (- y x) z))
5.0ms	(/ (- y x) z)

series12.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ x (/ (- y x) z))
6.0ms	(/ (- y x) z)

simplify40.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5763	519

prune54.0ms

Filtered

40 candidates to 57 candidates (-42.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	2	58

Merged error: 0b

Counts

58 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (/ y z) (/ x z))
0.0b	(+ x (- (/ y z) (/ x z)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
10×	`times-frac`
9×	`add-log-exp`
5×	`distribute-lft-out--`
4×	`add-cube-cbrt` `difference-of-squares`
2×	`pow1` `add-exp-log` `sub-neg` `diff-log` `sum-log` `add-cbrt-cube` `div-inv` `distribute-lft-out`
1×	`+-commutative` `associate-+r-` `associate-+r+` `flip3--` `distribute-rgt-out--` `flip3-+` `frac-sub` `flip--` `flip-+` `sub-div`

Counts

2 → 38

Calls

2 calls:

12.0ms	(- (/ y z) (/ x z))
16.0ms	(+ x (- (/ y z) (/ x z)))

series12.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(- (/ y z) (/ x z))
6.0ms	(+ x (- (/ y z) (/ x z)))

simplify33.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4895	494
1	4895	494

prune41.0ms

Filtered

32 candidates to 44 candidates (-37.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	44	2	46

Merged error: 0b

Counts

46 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (- y x)) (cbrt (- y x)))
0.6b	(cbrt (- y x))
0.6b	(cbrt (- y x))
0.6b	(cbrt (- y x))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
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 → 101

Calls

4 calls:

10.0ms	(* (cbrt (- y x)) (cbrt (- y x)))
3.0ms	(cbrt (- y x))
3.0ms	(cbrt (- y x))
3.0ms	(cbrt (- y x))

series110.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (cbrt (- y x)) (cbrt (- y x)))
25.0ms	(cbrt (- y x))
28.0ms	(cbrt (- y x))
27.0ms	(cbrt (- y x))

simplify58.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4964	1021
1	4964	1021

prune99.0ms

Filtered

77 candidates to 113 candidates (-46.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	113	2	115

Merged error: 0b

Counts

115 → 2

regimes117.0ms

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	25	9
1	25	9

end0.0ms

sample439.0ms

Algorithm

intervals

Results

202.0ms	8000×	body	80	valid
36.0ms	1367×	body	80	invalid

Details

analyze276.0ms

sample17.0ms

simplify14.0ms

prune3.0ms

localize6.0ms

rewrite15.0ms

series12.0ms

simplify40.0ms

prune54.0ms

localize6.0ms

rewrite30.0ms

series12.0ms

simplify33.0ms

prune41.0ms

localize9.0ms

rewrite22.0ms

series110.0ms

simplify58.0ms

prune99.0ms

regimes117.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample439.0ms

Profiling