Details

analyze129.0ms

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
49.9%	49.9%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	7
74.9%	25%	0.1%	8
81.1%	18.7%	0.1%	9
81.1%	18.7%	0.1%	10
81.1%	15.6%	3.3%	11
84.3%	10.9%	4.8%	12
84.3%	10.9%	4.8%	13
84.3%	8.6%	7.2%	14

sample29.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
1.0ms	17×	body	80	invalid

simplify21.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	366	9
1	366	9

prune5.0ms

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (* x y) 2.0)
0.0b	(- (/ (* x y) 2.0) (/ z 8.0))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`add-exp-log` `add-cbrt-cube`
6×	`*-un-lft-identity`
4×	`add-cube-cbrt` `times-frac` `add-log-exp`
3×	`associate-/r*`
2×	`pow1` `cbrt-undiv` `div-exp` `difference-of-squares`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `prod-exp` `clear-num` `frac-sub` `flip--` `cbrt-unprod` `div-inv` `associate-/l*` `distribute-lft-out--`

Counts

2 → 36

Calls

2 calls:

4.0ms	(/ (* x y) 2.0)
10.0ms	(- (/ (* x y) 2.0) (/ z 8.0))

series11.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(/ (* x y) 2.0)
8.0ms	(- (/ (* x y) 2.0) (/ z 8.0))

simplify41.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4992	403
1	4992	403

prune55.0ms

Filtered

32 candidates to 42 candidates (-31.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	3	43

Merged error: 0b

Counts

43 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (/ x (/ 2.0 y)) (/ z 8.0))
0.2b	(/ x (/ 2.0 y))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

86×	`times-frac`
65×	`add-sqr-sqrt`
50×	`*-un-lft-identity`
44×	`add-cube-cbrt`
13×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
6×	`difference-of-squares`
5×	`div-inv`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
2×	`pow1` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `clear-num` `associate-/r/` `frac-sub` `flip--`

Counts

2 → 90

Calls

2 calls:

29.0ms	(- (/ x (/ 2.0 y)) (/ z 8.0))
5.0ms	(/ x (/ 2.0 y))

series11.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(- (/ x (/ 2.0 y)) (/ z 8.0))
4.0ms	(/ x (/ 2.0 y))

simplify52.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4942	1140
1	4942	1140

prune117.0ms

Filtered

81 candidates to 96 candidates (-18.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	96	3	99

Merged error: 0b

Counts

99 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0))) (/ z 8.0))
0.3b	(* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))
0.4b	(/ y (sqrt 2.0))
0.4b	(/ x (sqrt 2.0))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

90×	`add-sqr-sqrt`
84×	`times-frac`
60×	`add-cube-cbrt` `*-un-lft-identity`
48×	`sqrt-prod`
22×	`associate-r` `associate-l`
20×	`add-exp-log` `add-cbrt-cube`
12×	`associate-/r*`
9×	`unswap-sqr`
6×	`pow1` `cbrt-undiv` `div-exp` `associate-/l*` `add-log-exp`
4×	`prod-exp` `cbrt-unprod` `div-inv`
3×	`frac-sub`
2×	`frac-times` `frac-2neg` `associate-r/` `associate-l/` `clear-num`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `flip--`

Counts

4 → 165

Calls

4 calls:

11.0ms	(- (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0))) (/ z 8.0))
17.0ms	(* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))
4.0ms	(/ y (sqrt 2.0))
4.0ms	(/ x (sqrt 2.0))

series46.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(- (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0))) (/ z 8.0))
16.0ms	(* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))
5.0ms	(/ y (sqrt 2.0))
5.0ms	(/ x (sqrt 2.0))

simplify69.0ms

Algorithm

egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4925	1585
1	4925	1585

prune214.0ms

Filtered

112 candidates to 177 candidates (-58.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	177	0	177
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	177	3	180

Merged error: 0b

Counts

180 → 3

regimes303.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	27	9
1	27	9

end0.0ms

sample414.0ms

Algorithm

intervals

Results

239.0ms	8000×	body	80	valid
14.0ms	488×	body	80	invalid

Details

analyze129.0ms

sample29.0ms

simplify21.0ms

prune5.0ms

localize6.0ms

rewrite15.0ms

series11.0ms

simplify41.0ms

prune55.0ms

localize8.0ms

rewrite39.0ms

series11.0ms

simplify52.0ms

prune117.0ms

localize8.0ms

rewrite42.0ms

series46.0ms

simplify69.0ms

prune214.0ms

regimes303.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample414.0ms

Profiling