Details

analyze127.0ms

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%	68.7%	6.3%	6
25%	53.1%	22%	7
25%	46.8%	28.2%	8
25%	33.6%	41.5%	9
28.1%	18%	54%	10
31.6%	12.1%	56.3%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

sample25.0ms

Algorithm

intervals

Results

17.0ms

256×

body

valid

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5054	29

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.2b

Counts

2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
0.1b	(* (* a a) (- 1.0 a))
0.3b	(pow (+ (* a a) (* b b)) 2.0)
1.0b	(* (* b b) (+ 3.0 a))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-*r/`
17×	`pow1` `add-exp-log`
16×	`add-sqr-sqrt` `add-cbrt-cube`
14×	`*-un-lft-identity`
12×	`associate-r`
10×	`add-cube-cbrt`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-l`
4×	`flip3-+` `frac-add` `flip-+` `add-log-exp`
3×	`distribute-rgt-in` `unpow-prod-down` `pow-unpow` `flip3--` `distribute-lft-in` `*-commutative` `flip--` `unswap-sqr`
2×	`sub-neg`
1×	`pow-to-exp` `pow-pow` `pow-exp` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `sqr-pow`

Counts

4 → 92

Calls

4 calls:

12.0ms	(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
8.0ms	(* (* a a) (- 1.0 a))
5.0ms	(pow (+ (* a a) (* b b)) 2.0)
8.0ms	(* (* b b) (+ 3.0 a))

series46.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a))))
5.0ms	(* (* a a) (- 1.0 a))
23.0ms	(pow (+ (* a a) (* b b)) 2.0)
5.0ms	(* (* b b) (+ 3.0 a))

simplify54.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4950	1310
1	4950	1310

prune168.0ms

Filtered

74 candidates to 104 candidates (-40.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	100	4	104
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	100	5	105

Merged error: 0.1b

Counts

105 → 5

localize21.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (* b b) (+ 3.0 a))
19.7b	(cbrt (pow (+ (* b b) (* a a)) 2.0))
19.7b	(cbrt (pow (+ (* b b) (* a a)) 2.0))
19.7b	(cbrt (pow (+ (* b b) (* a a)) 2.0))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

8.0ms	(* (* b b) (+ 3.0 a))
4.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))
4.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))
5.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))

series106.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (* b b) (+ 3.0 a))
35.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))
33.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))
33.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))

simplify51.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4918	1043
1	4918	1043

prune222.0ms

Filtered

61 candidates to 81 candidates (-32.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	78	3	81
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	78	8	86

Merged error: 0.0b

Counts

86 → 8

localize24.0ms

Local error

Found 4 expressions with local error:

19.7b	(cbrt (pow (+ (* b b) (* a a)) 2.0))
19.7b	(cbrt (pow (+ (* b b) (* a a)) 2.0))
19.7b	(cbrt (pow (+ (* b b) (* a a)) 2.0))
19.7b	(cbrt (pow (+ (* b b) (* a a)) 2.0))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp` `sqr-pow`

Counts

4 → 60

Calls

4 calls:

5.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))
5.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))
5.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))
5.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))

series146.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))
35.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))
33.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))
33.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))

simplify58.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4900	1096
1	4900	1096

prune275.0ms

Filtered

60 candidates to 72 candidates (-20.0%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	72	8	80

Merged error: 0.0b

Counts

80 → 8

localize27.0ms

Local error

Found 4 expressions with local error:

9.0b	(cbrt (pow (sqrt (+ (* b b) (* a a))) 2.0))
9.0b	(cbrt (pow (sqrt (+ (* b b) (* a a))) 2.0))
19.7b	(cbrt (pow (+ (* b b) (* a a)) 2.0))
19.7b	(cbrt (pow (+ (* b b) (* a a)) 2.0))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

34×	`cbrt-prod`
18×	`unpow-prod-down`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`sqrt-prod`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp` `sqr-pow`

Counts

4 → 66

Calls

4 calls:

5.0ms	(cbrt (pow (sqrt (+ (* b b) (* a a))) 2.0))
5.0ms	(cbrt (pow (sqrt (+ (* b b) (* a a))) 2.0))
4.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))
5.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))

series139.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(cbrt (pow (sqrt (+ (* b b) (* a a))) 2.0))
37.0ms	(cbrt (pow (sqrt (+ (* b b) (* a a))) 2.0))
34.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))
34.0ms	(cbrt (pow (+ (* b b) (* a a)) 2.0))

simplify63.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4832	1262
1	4832	1262

prune241.0ms

Filtered

62 candidates to 78 candidates (-25.8%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	76	10	86

Merged error: 0.0b

Counts

86 → 10

regimes438.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	29
1	43	29

end0.0ms

sample618.0ms

Algorithm

intervals

Results

487.0ms	8000×	body	80	valid
0.0ms	4×	body	80	invalid

Details

analyze127.0ms

sample25.0ms

simplify65.0ms

prune6.0ms

localize15.0ms

rewrite35.0ms

series46.0ms

simplify54.0ms

prune168.0ms

localize21.0ms

rewrite23.0ms

series106.0ms

simplify51.0ms

prune222.0ms

localize24.0ms

rewrite21.0ms

series146.0ms

simplify58.0ms

prune275.0ms

localize27.0ms

rewrite21.0ms

series139.0ms

simplify63.0ms

prune241.0ms

regimes438.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample618.0ms

Profiling