Details

analyze120.0ms

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

sample17.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	18×	body	80	invalid

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	366	9
1	366	9

prune9.0ms

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

prune53.0ms

Filtered

32 candidates to 42 candidates (-31.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	2	43

Merged error: 0.0b

Counts

43 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* x (/ y (sqrt 2.0))) (sqrt 2.0)) (/ z 8.0))
0.2b	(* x (/ y (sqrt 2.0)))
0.4b	(/ (* x (/ y (sqrt 2.0))) (sqrt 2.0))
0.5b	(/ y (sqrt 2.0))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
45×	`times-frac`
39×	`*-un-lft-identity`
37×	`add-cube-cbrt`
28×	`sqrt-prod`
22×	`associate-r`
20×	`add-exp-log` `add-cbrt-cube`
12×	`associate-/r*`
6×	`pow1` `cbrt-undiv` `div-exp` `add-log-exp`
4×	`prod-exp` `cbrt-unprod` `associate-/l*`
3×	`associate-l` `div-inv` `unswap-sqr`
2×	`frac-2neg` `associate-*r/` `clear-num` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `frac-sub` `flip--` `associate-/l/` `distribute-lft-out--`

Counts

4 → 126

Calls

4 calls:

16.0ms	(- (/ (* x (/ y (sqrt 2.0))) (sqrt 2.0)) (/ z 8.0))
9.0ms	(* x (/ y (sqrt 2.0)))
7.0ms	(/ (* x (/ y (sqrt 2.0))) (sqrt 2.0))
4.0ms	(/ y (sqrt 2.0))

series46.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(- (/ (* x (/ y (sqrt 2.0))) (sqrt 2.0)) (/ z 8.0))
7.0ms	(* x (/ y (sqrt 2.0)))
13.0ms	(/ (* x (/ y (sqrt 2.0))) (sqrt 2.0))
6.0ms	(/ y (sqrt 2.0))

simplify63.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4923	1163
1	4923	1163

prune172.0ms

Filtered

89 candidates to 138 candidates (-55.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	138	2	140

Merged error: 0.0b

Counts

140 → 2

regimes308.0ms

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

sample421.0ms

Algorithm

intervals

Results

236.0ms	8000×	body	80	valid
16.0ms	466×	body	80	invalid

Details

analyze120.0ms

sample17.0ms

simplify17.0ms

prune9.0ms

localize6.0ms

rewrite15.0ms

series11.0ms

simplify41.0ms

prune53.0ms

localize9.0ms

rewrite43.0ms

series46.0ms

simplify63.0ms

prune172.0ms

regimes308.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample421.0ms

Profiling