Details

analyze426.0ms

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
37.5%	50%	12.6%	7
37.5%	50%	12.6%	8
43.7%	37.5%	18.8%	9
43.7%	37.5%	18.8%	10
46.8%	31.2%	22%	11
46.8%	31.2%	22%	12
48.4%	28.1%	23.5%	13
48.4%	28.1%	23.5%	14

sample67.0ms

Algorithm

intervals

Results

15.0ms	52×	body	1280	valid
13.0ms	50×	body	1280	invalid
8.0ms	42×	body	640	valid
7.0ms	40×	body	640	invalid
6.0ms	137×	body	80	valid
2.0ms	20×	body	320	invalid
2.0ms	16×	body	320	valid
1.0ms	9×	body	160	invalid
1.0ms	9×	body	160	valid
1.0ms	14×	body	80	invalid

simplify35.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4909	7
1	4909	7

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 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ (sinh y) y)
0.0b	(* (cos x) (/ (sinh y) y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
3×	`associate-l` `associate-/r` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `sinh-def` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l/`

Counts

3 → 68

Calls

3 calls:

1.0ms	(sinh y)
7.0ms	(/ (sinh y) y)
7.0ms	(* (cos x) (/ (sinh y) y))

series38.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(sinh y)
11.0ms	(/ (sinh y) y)
20.0ms	(* (cos x) (/ (sinh y) y))

simplify50.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4929	621
1	4929	621

prune70.0ms

Filtered

61 candidates to 77 candidates (-26.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	2	78

Merged error: 0b

Counts

78 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (/ (sinh y) y))
0.0b	(/ (sinh y) y)
0.0b	(/ (sinh y) y)
0.0b	(* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
37×	`times-frac`
35×	`add-cube-cbrt` `*-un-lft-identity`
26×	`sqrt-prod`
16×	`associate-r`
13×	`add-exp-log` `add-cbrt-cube`
10×	`pow1`
6×	`associate-/r` `associate-/l`
5×	`sqrt-div`
4×	`div-inv` `add-log-exp`
3×	`associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `sinh-def` `rem-sqrt-square` `frac-2neg` `div-exp` `clear-num` `associate-/l/`
1×	`frac-times` `sqrt-pow1` `pow1/2` `associate-l` `associate-l/` `-commutative`

Counts

4 → 115

Calls

4 calls:

3.0ms	(sqrt (/ (sinh y) y))
4.0ms	(/ (sinh y) y)
3.0ms	(/ (sinh y) y)
13.0ms	(* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

series79.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(sqrt (/ (sinh y) y))
13.0ms	(/ (sinh y) y)
11.0ms	(/ (sinh y) y)
36.0ms	(* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

simplify48.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4946	1477
1	4946	1477

prune153.0ms

Filtered

102 candidates to 127 candidates (-24.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	127	2	129

Merged error: 0b

Counts

129 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos x)) (cbrt (cos x)))
0.3b	(cbrt (cos x))
0.3b	(cbrt (cos x))
0.3b	(cbrt (cos x))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt (cos x)) (cbrt (cos x)))
1.0ms	(cbrt (cos x))
1.0ms	(cbrt (cos x))
2.0ms	(cbrt (cos x))

series82.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (cbrt (cos x)) (cbrt (cos x)))
18.0ms	(cbrt (cos x))
17.0ms	(cbrt (cos x))
20.0ms	(cbrt (cos x))

simplify46.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5025	459

prune59.0ms

Filtered

50 candidates to 85 candidates (-70.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	85	2	87

Merged error: 0b

Counts

87 → 2

regimes126.0ms

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	14
1	10	14

end0.0ms

sample2.0s

Algorithm

intervals

Results

491.0ms	1578×	body	1280	valid
406.0ms	1482×	body	1280	invalid
217.0ms	1243×	body	640	invalid
214.0ms	1179×	body	640	valid
175.0ms	4297×	body	80	valid
86.0ms	652×	body	320	valid
76.0ms	596×	body	320	invalid
28.0ms	289×	body	160	invalid
28.0ms	294×	body	160	valid
27.0ms	529×	body	80	invalid

Details

analyze426.0ms

sample67.0ms

simplify35.0ms

prune3.0ms

localize7.0ms

rewrite16.0ms

series38.0ms

simplify50.0ms

prune70.0ms

localize9.0ms

rewrite27.0ms

series79.0ms

simplify48.0ms

prune153.0ms

localize10.0ms

rewrite12.0ms

series82.0ms

simplify46.0ms

prune59.0ms

regimes126.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.0s

Profiling