Details

analyze47.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
50%	50%	0.1%	3
50%	50%	0.1%	4
50%	50%	0.1%	5
62.4%	37.5%	0.1%	6
74.9%	25%	0.1%	7
81.2%	18.7%	0.1%	8
87.4%	12.5%	0.1%	9
90.5%	9.4%	0.1%	10
93.7%	6.2%	0.1%	11
95.2%	4.7%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

sample20.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	5
1	22	5
2	25	5
3	26	5
4	26	5

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

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (/ (* x y) 2.0))
0.0b	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
0.0b	(/ (* x y) 2.0)
8.1b	(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

4.0ms	(+ 1.0 (/ (* x y) 2.0))
10.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
4.0ms	(/ (* x y) 2.0)
6.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

series28.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ 1.0 (/ (* x y) 2.0))
7.0ms	(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
3.0ms	(/ (* x y) 2.0)
12.0ms	(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify44.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	378	589
1	1545	551
2	5001	545

prune122.0ms

Filtered

68 candidates to 93 candidates (-36.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	89	4	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	4	94

Merged error: 0b

Counts

94 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (/ x (/ 2.0 y)))
0.0b	(- x (/ y (+ 1.0 (/ x (/ 2.0 y)))))
0.2b	(/ x (/ 2.0 y))
8.1b	(/ y (+ 1.0 (/ x (/ 2.0 y))))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

88×	`times-frac`
67×	`*-un-lft-identity`
60×	`add-sqr-sqrt`
55×	`add-cube-cbrt`
17×	`associate-/r*`
11×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
6×	`div-inv` `associate-/l*`
5×	`distribute-lft-out`
4×	`pow1` `cbrt-undiv` `div-exp`
3×	`associate-/r/`
2×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `difference-of-squares`
1×	`+-commutative` `sub-neg` `flip3--` `diff-log` `sum-log` `flip--` `distribute-lft-out--`

Counts

4 → 130

Calls

4 calls:

14.0ms	(+ 1.0 (/ x (/ 2.0 y)))
18.0ms	(- x (/ y (+ 1.0 (/ x (/ 2.0 y)))))
6.0ms	(/ x (/ 2.0 y))
14.0ms	(/ y (+ 1.0 (/ x (/ 2.0 y))))

series29.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ 1.0 (/ x (/ 2.0 y)))
8.0ms	(- x (/ y (+ 1.0 (/ x (/ 2.0 y)))))
4.0ms	(/ x (/ 2.0 y))
12.0ms	(/ y (+ 1.0 (/ x (/ 2.0 y))))

simplify71.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	585	955
1	2546	913
2	5001	913

prune175.0ms

Filtered

111 candidates to 142 candidates (-27.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	142	4	146

Merged error: 0b

Counts

146 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
0.0b	(/ (* x y) 2.0)
0.1b	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
8.0b	(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

117×	`times-frac`
101×	`*-un-lft-identity`
78×	`add-sqr-sqrt`
64×	`add-cube-cbrt`
22×	`add-exp-log` `associate-/r*`
16×	`add-cbrt-cube` `distribute-lft-out`
10×	`div-exp`
8×	`div-inv` `associate-/l*`
6×	`cbrt-undiv` `add-log-exp`
5×	`pow1` `difference-of-squares`
3×	`frac-2neg` `clear-num`
2×	`rec-exp` `1-exp` `associate-/l/` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `pow-flip` `flip3-+` `diff-log` `prod-exp` `associate-/r/` `flip--` `cbrt-unprod` `flip-+` `inv-pow`

Counts

4 → 161

Calls

4 calls:

18.0ms	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
4.0ms	(/ (* x y) 2.0)
9.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
9.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

series29.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
3.0ms	(/ (* x y) 2.0)
11.0ms	(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
7.0ms	(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify74.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	610	1496
1	2877	1271
2	5001	1268

prune149.0ms

Filtered

92 candidates to 173 candidates (-88.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	173	0	173
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	173	4	177

Merged error: 0b

Counts

177 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

3.2b	(/ y (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))))
8.3b	(cbrt (+ 1.0 (/ (* x y) 2.0)))
8.3b	(cbrt (+ 1.0 (/ (* x y) 2.0)))
8.3b	(cbrt (+ 1.0 (/ (* x y) 2.0)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
15×	`*-un-lft-identity`
12×	`cbrt-prod`
9×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `flip-+`
8×	`associate-/r/`
7×	`add-cbrt-cube`
4×	`pow1` `frac-times` `add-log-exp`
3×	`times-frac` `pow1/3` `distribute-lft-out` `associate-/l*`
2×	`cbrt-undiv` `associate-r/` `div-exp` `associate-l/`
1×	`frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv`

Counts

4 → 71

Calls

4 calls:

13.0ms	(/ y (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))))
4.0ms	(cbrt (+ 1.0 (/ (* x y) 2.0)))
4.0ms	(cbrt (+ 1.0 (/ (* x y) 2.0)))
6.0ms	(cbrt (+ 1.0 (/ (* x y) 2.0)))

series237.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(/ y (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0)))))
42.0ms	(cbrt (+ 1.0 (/ (* x y) 2.0)))
44.0ms	(cbrt (+ 1.0 (/ (* x y) 2.0)))
42.0ms	(cbrt (+ 1.0 (/ (* x y) 2.0)))

simplify46.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	436	1091
1	1361	1011
2	5002	993

prune235.0ms

Filtered

70 candidates to 83 candidates (-18.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	83	4	87

Merged error: 0b

Counts

87 → 4

regimes82.0ms

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	5
1	10	5

end0.0ms

analyze47.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
50%	50%	0.1%	3
50%	50%	0.1%	4
50%	50%	0.1%	5
62.4%	37.5%	0.1%	6
74.9%	25%	0.1%	7
81.2%	18.7%	0.1%	8
87.4%	12.5%	0.1%	9
90.5%	9.4%	0.1%	10
93.7%	6.2%	0.1%	11
95.2%	4.7%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

sample379.0ms

Algorithm

intervals

Results

258.0ms	7994×	body	80	valid
1.0ms	3×	body	2560	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid

Details

analyze47.0ms

sample20.0ms

simplify7.0ms

prune3.0ms

localize7.0ms

rewrite27.0ms

series28.0ms

simplify44.0ms

prune122.0ms

localize7.0ms

rewrite57.0ms

series29.0ms

simplify71.0ms

prune175.0ms

localize9.0ms

rewrite48.0ms

series29.0ms

simplify74.0ms

prune149.0ms

localize11.0ms

rewrite29.0ms

series237.0ms

simplify46.0ms

prune235.0ms

regimes82.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze47.0ms

sample379.0ms

Profiling