Details

analyze359.0ms

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

sample110.0ms

Algorithm

intervals

Results

29.0ms	60×	body	1280	invalid
25.0ms	53×	body	1280	valid
9.0ms	33×	body	640	invalid
9.0ms	34×	body	640	valid
9.0ms	140×	body	80	valid
4.0ms	24×	body	320	invalid
3.0ms	18×	body	320	valid
2.0ms	11×	body	160	valid
1.0ms	17×	body	80	invalid
1.0ms	8×	body	160	invalid

simplify46.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5277	7

prune4.0ms

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

rewrite13.0ms

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:

3.0ms	(/ (sinh y) y)
1.0ms	(sinh y)
6.0ms	(* (cos x) (/ (sinh y) y))

series43.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(/ (sinh y) y)
12.0ms	(sinh y)
20.0ms	(* (cos x) (/ (sinh y) y))

simplify34.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	4946	585
1	4946	585

prune79.0ms

Filtered

58 candidates to 77 candidates (-32.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	75	3	78

Merged error: 0b

Counts

78 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 112

Calls

4 calls:

3.0ms	(/ (sinh y) y)
3.0ms	(sqrt (/ (sinh y) y))
3.0ms	(sqrt (/ (sinh y) y))
14.0ms	(* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

series87.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(/ (sinh y) y)
21.0ms	(sqrt (/ (sinh y) y))
19.0ms	(sqrt (/ (sinh y) y))
36.0ms	(* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

simplify56.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4944	1702
1	4944	1702

prune149.0ms

Filtered

97 candidates to 124 candidates (-27.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	124	3	127

Merged error: 0b

Counts

127 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (* (cos x) (/ (sinh y) y))) (cbrt (* (cos x) (/ (sinh y) y))))
0.3b	(cbrt (* (cos x) (/ (sinh y) y)))
0.3b	(cbrt (* (cos x) (/ (sinh y) y)))
0.3b	(cbrt (* (cos x) (/ (sinh y) y)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `-un-lft-identity` `associate-r/`
7×	`cbrt-prod` `cbrt-div`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 64

Calls

4 calls:

5.0ms	(* (cbrt (* (cos x) (/ (sinh y) y))) (cbrt (* (cos x) (/ (sinh y) y))))
4.0ms	(cbrt (* (cos x) (/ (sinh y) y)))
4.0ms	(cbrt (* (cos x) (/ (sinh y) y)))
4.0ms	(cbrt (* (cos x) (/ (sinh y) y)))

series185.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (cbrt (* (cos x) (/ (sinh y) y))) (cbrt (* (cos x) (/ (sinh y) y))))
40.0ms	(cbrt (* (cos x) (/ (sinh y) y)))
42.0ms	(cbrt (* (cos x) (/ (sinh y) y)))
41.0ms	(cbrt (* (cos x) (/ (sinh y) y)))

simplify31.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	4900	773
1	4900	773

prune78.0ms

Filtered

57 candidates to 76 candidates (-33.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	76	3	79

Merged error: 0b

Counts

79 → 3

regimes181.0ms

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	25	7
1	25	7

end0.0ms

sample2.1s

Algorithm

intervals

Results

484.0ms	1519×	body	1280	valid
420.0ms	1457×	body	1280	invalid
229.0ms	1236×	body	640	valid
219.0ms	1153×	body	640	invalid
197.0ms	4319×	body	80	valid
83.0ms	642×	body	320	invalid
76.0ms	587×	body	320	valid
30.0ms	339×	body	160	valid
28.0ms	300×	body	160	invalid
24.0ms	458×	body	80	invalid

Details

analyze359.0ms

sample110.0ms

simplify46.0ms

prune4.0ms

localize7.0ms

rewrite13.0ms

series43.0ms

simplify34.0ms

prune79.0ms

localize9.0ms

rewrite26.0ms

series87.0ms

simplify56.0ms

prune149.0ms

localize11.0ms

rewrite18.0ms

series185.0ms

simplify31.0ms

prune78.0ms

regimes181.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.1s

Profiling