Details

analyze36.0ms

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
50%	50%	0.1%	4
50%	50%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	7
87.4%	12.5%	0.1%	8
87.4%	12.5%	0.1%	9
93.7%	6.2%	0.1%	10
93.7%	6.2%	0.1%	11
96.8%	3.1%	0.1%	12
96.8%	3.1%	0.1%	13
98.3%	1.6%	0.1%	14

sample13.0ms

Algorithm

intervals

Results

5.0ms	236×	body	80	valid
1.0ms	9×	body	1280	valid
0.0ms	5×	body	640	valid
0.0ms	3×	body	2560	valid
0.0ms	3×	body	320	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	20	7
1	20	7

prune2.0ms

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: 0.1b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (- x y) 2.0))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 13

Calls

1 calls:

8.0ms

(+ x (/ (- x y) 2.0))

series6.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(+ x (/ (- x y) 2.0))

simplify26.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5234	157

prune31.0ms

Filtered

12 candidates to 16 candidates (-33.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	13	3	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	4	17

Merged error: 0.1b

Counts

17 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
0.5b	(cbrt (+ x (/ (- x y) 2.0)))
0.5b	(cbrt (+ x (/ (- x y) 2.0)))
0.5b	(cbrt (+ x (/ (- x y) 2.0)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`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 → 95

Calls

4 calls:

22.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
8.0ms	(cbrt (+ x (/ (- x y) 2.0)))
9.0ms	(cbrt (+ x (/ (- x y) 2.0)))
8.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series187.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
44.0ms	(cbrt (+ x (/ (- x y) 2.0)))
47.0ms	(cbrt (+ x (/ (- x y) 2.0)))
44.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify63.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4997	1569
1	4997	1569

prune209.0ms

Filtered

80 candidates to 107 candidates (-33.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	103	4	107
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	103	8	111

Merged error: 0.0b

Counts

111 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x (/ (- x y) 2.0)))
0.5b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(cbrt (pow (cbrt (+ x (/ (- x y) 2.0))) 2))
0.6b	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

35×	`cbrt-prod`
19×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`cbrt-div`
7×	`unpow-prod-down`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `distribute-lft-out` `add-log-exp`
3×	`flip3-+` `flip-+`
1×	`unpow2` `sqr-pow`

Counts

4 → 65

Calls

4 calls:

10.0ms	(cbrt (+ x (/ (- x y) 2.0)))
8.0ms	(cbrt (+ x (/ (- x y) 2.0)))
10.0ms	(cbrt (pow (cbrt (+ x (/ (- x y) 2.0))) 2))
9.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

series186.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(cbrt (+ x (/ (- x y) 2.0)))
44.0ms	(cbrt (+ x (/ (- x y) 2.0)))
52.0ms	(cbrt (pow (cbrt (+ x (/ (- x y) 2.0))) 2))
44.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

simplify66.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4878	1059
1	4878	1059

prune250.0ms

Filtered

66 candidates to 77 candidates (-16.7%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	75	10	85

Merged error: 0.0b

Counts

85 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(cbrt (pow (cbrt (+ x (/ (- x y) 2.0))) 2))
0.6b	(cbrt (pow (cbrt (+ x (/ (- x y) 2.0))) 2))
0.6b	(cbrt (pow (cbrt (+ x (/ (- x y) 2.0))) 2))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

52×	`cbrt-prod`
22×	`*-un-lft-identity`
21×	`unpow-prod-down`
14×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `distribute-lft-out` `add-log-exp`
3×	`unpow2` `sqr-pow`
2×	`cbrt-div`
1×	`flip3-+` `flip-+`

Counts

4 → 74

Calls

4 calls:

8.0ms	(cbrt (+ x (/ (- x y) 2.0)))
10.0ms	(cbrt (pow (cbrt (+ x (/ (- x y) 2.0))) 2))
10.0ms	(cbrt (pow (cbrt (+ x (/ (- x y) 2.0))) 2))
10.0ms	(cbrt (pow (cbrt (+ x (/ (- x y) 2.0))) 2))

series201.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(cbrt (+ x (/ (- x y) 2.0)))
52.0ms	(cbrt (pow (cbrt (+ x (/ (- x y) 2.0))) 2))
51.0ms	(cbrt (pow (cbrt (+ x (/ (- x y) 2.0))) 2))
55.0ms	(cbrt (pow (cbrt (+ x (/ (- x y) 2.0))) 2))

simplify66.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4922	1290
1	4922	1290

prune290.0ms

Filtered

69 candidates to 86 candidates (-24.6%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	6	6
Picked	0	1	1
Done	0	3	3
Total	85	11	96

Merged error: 0.0b

Counts

96 → 11

regimes232.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms

analyze32.0ms

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
50%	50%	0.1%	4
50%	50%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	7
87.4%	12.5%	0.1%	8
87.4%	12.5%	0.1%	9
93.7%	6.2%	0.1%	10
93.7%	6.2%	0.1%	11
96.8%	3.1%	0.1%	12
96.8%	3.1%	0.1%	13
98.3%	1.6%	0.1%	14

sample324.0ms

Algorithm

intervals

Results

158.0ms	7365×	body	80	valid
20.0ms	224×	body	1280	valid
12.0ms	175×	body	640	valid
11.0ms	103×	body	2560	valid
5.0ms	90×	body	320	valid
2.0ms	43×	body	160	valid
0.0ms	1×	body	80	invalid

Details

analyze36.0ms

sample13.0ms

simplify3.0ms

prune2.0ms

localize4.0ms

rewrite9.0ms

series6.0ms

simplify26.0ms

prune31.0ms

localize9.0ms

rewrite51.0ms

series187.0ms

simplify63.0ms

prune209.0ms

localize15.0ms

rewrite39.0ms

series186.0ms

simplify66.0ms

prune250.0ms

localize16.0ms

rewrite41.0ms

series201.0ms

simplify66.0ms

prune290.0ms

regimes232.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze32.0ms

sample324.0ms

Profiling