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

sample18.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
0.0ms	14×	body	80	invalid

simplify42.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	778	9
1	778	9

prune7.0ms

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

rewrite18.0ms

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:

13.0ms	(- (/ (* x y) 2.0) (/ z 8.0))
4.0ms	(/ (* x y) 2.0)

series11.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(- (/ (* x y) 2.0) (/ z 8.0))
3.0ms	(/ (* x y) 2.0)

simplify40.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4983	403
1	4983	403

prune59.0ms

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: 0b

Counts

43 → 2

localize9.0ms

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))
0.5b	(/ x (sqrt 2.0))

rewrite40.0ms

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))
16.0ms	(* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))
4.0ms	(/ y (sqrt 2.0))
4.0ms	(/ x (sqrt 2.0))

series44.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(- (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0))) (/ z 8.0))
12.0ms	(* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))
5.0ms	(/ y (sqrt 2.0))
8.0ms	(/ x (sqrt 2.0))

simplify58.0ms

Algorithm

egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5193	1633

prune282.0ms

Filtered

112 candidates to 177 candidates (-58.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	177	0	177
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	177	2	179

Merged error: 0b

Counts

179 → 2

regimes296.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	60	9
1	60	9

end0.0ms

sample459.0ms

Algorithm

intervals

Results

259.0ms	8000×	body	80	valid
14.0ms	470×	body	80	invalid

Details

analyze120.0ms

sample18.0ms

simplify42.0ms

prune7.0ms

localize6.0ms

rewrite18.0ms

series11.0ms

simplify40.0ms

prune59.0ms

localize9.0ms

rewrite40.0ms

series44.0ms

simplify58.0ms

prune282.0ms

regimes296.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample459.0ms

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