Details

analyze48.0ms

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
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
56.2%	43.7%	0.1%	6
65.6%	34.3%	0.1%	7
76.5%	23.4%	0.1%	8
82%	18%	0.1%	9
87.8%	12.1%	0.1%	10
90.7%	9.2%	0.1%	11
93.8%	6.1%	0.1%	12
95.3%	4.6%	0.1%	13
96.8%	3.1%	0.1%	14

sample10.0ms

Algorithm

intervals

Results

4.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (+ x y) x)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity` `add-log-exp`
3×	`sum-log` `distribute-lft-out`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

1 → 15

Calls

1 calls:

6.0ms

(+ (+ x y) x)

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(+ (+ x y) x)

simplify53.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5128	116

prune25.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	16	2	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	3	19

Merged error: 0.0b

Counts

19 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ x (+ x y))) (cbrt (+ x (+ x y))))
0.5b	(cbrt (+ x (+ x y)))
0.5b	(cbrt (+ x (+ x y)))
0.5b	(cbrt (+ x (+ x y)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
51×	`cbrt-prod`
33×	`distribute-lft-out`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`swap-sqr`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`associate-r` `associate-l`
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 → 105

Calls

4 calls:

17.0ms	(* (cbrt (+ x (+ x y))) (cbrt (+ x (+ x y))))
5.0ms	(cbrt (+ x (+ x y)))
5.0ms	(cbrt (+ x (+ x y)))
5.0ms	(cbrt (+ x (+ x y)))

series137.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (cbrt (+ x (+ x y))) (cbrt (+ x (+ x y))))
34.0ms	(cbrt (+ x (+ x y)))
31.0ms	(cbrt (+ x (+ x y)))
31.0ms	(cbrt (+ x (+ x y)))

simplify61.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4847	1271
1	4847	1271

prune153.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	114	3	117
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	114	6	120

Merged error: 0.0b

Counts

120 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
30×	`*-un-lft-identity`
12×	`cbrt-div` `distribute-lft-out`
10×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 66

Calls

4 calls:

5.0ms	(cbrt (+ x (+ x y)))
5.0ms	(cbrt (+ x (+ x y)))
6.0ms	(cbrt (cbrt (+ x (+ x y))))
6.0ms	(cbrt (cbrt (+ x (+ x y))))

series146.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(cbrt (+ x (+ x y)))
33.0ms	(cbrt (+ x (+ x y)))
40.0ms	(cbrt (cbrt (+ x (+ x y))))
42.0ms	(cbrt (cbrt (+ x (+ x y))))

simplify45.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4874	826
1	4874	826

prune128.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	78	6	84

Merged error: 0.0b

Counts

84 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x (+ x y)))
0.6b	(cbrt (cbrt (+ x (+ x y))))
0.6b	(cbrt (cbrt (+ x (+ x y))))
0.9b	(pow (cbrt (cbrt (+ x (+ x y)))) 4)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

44×	`cbrt-prod`
33×	`*-un-lft-identity`
13×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`distribute-lft-out`
11×	`unpow-prod-down`
10×	`cbrt-div`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 77

Calls

4 calls:

5.0ms	(cbrt (+ x (+ x y)))
6.0ms	(cbrt (cbrt (+ x (+ x y))))
8.0ms	(cbrt (cbrt (+ x (+ x y))))
8.0ms	(pow (cbrt (cbrt (+ x (+ x y)))) 4)

series189.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(cbrt (+ x (+ x y)))
40.0ms	(cbrt (cbrt (+ x (+ x y))))
41.0ms	(cbrt (cbrt (+ x (+ x y))))
75.0ms	(pow (cbrt (cbrt (+ x (+ x y)))) 4)

simplify34.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	4851	990
1	4851	990

prune153.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	89	6	95

Merged error: 0.0b

Counts

95 → 6

regimes146.0ms

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	6	5
1	6	5

end0.0ms

sample241.0ms

Algorithm

intervals

Results

123.0ms	8000×	body	80	valid
0.0ms	1×	body	80	invalid

Details

analyze48.0ms

sample10.0ms

simplify3.0ms

prune8.0ms

localize3.0ms

rewrite6.0ms

series4.0ms

simplify53.0ms

prune25.0ms

localize8.0ms

rewrite37.0ms

series137.0ms

simplify61.0ms

prune153.0ms

localize13.0ms

rewrite24.0ms

series146.0ms

simplify45.0ms

prune128.0ms

localize14.0ms

rewrite29.0ms

series189.0ms

simplify34.0ms

prune153.0ms

regimes146.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample241.0ms

Profiling