Details

analyze315.0ms

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
12.5%	87.4%	0.1%	4
18.7%	81.2%	0.1%	5
21.9%	78%	0.1%	6
50%	43.7%	6.3%	7
50%	43.7%	6.3%	8
56.2%	34.3%	9.5%	9
56.2%	34.3%	9.5%	10
59.3%	29.7%	11%	11
59.3%	29.7%	11%	12
60.9%	27.3%	11.8%	13
60.9%	27.3%	11.8%	14

sample81.0ms

Algorithm

intervals

Results

15.0ms	47×	body	1280	valid
14.0ms	50×	body	1280	invalid
9.0ms	47×	body	640	invalid
9.0ms	43×	body	640	valid
7.0ms	137×	body	80	valid
5.0ms	102×	body	80	invalid
3.0ms	26×	body	320	invalid
3.0ms	23×	body	320	valid
1.0ms	14×	body	160	invalid
1.0ms	6×	body	160	valid

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	30	4
2	66	4
3	137	4
4	262	4
5	500	4
6	1427	4
7	4640	4
8	5001	4

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

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

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:

6.0ms	(/ (sinh y) y)
11.0ms	(* (sin x) (/ (sinh y) y))
2.0ms	(sinh y)

series57.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(/ (sinh y) y)
32.0ms	(* (sin x) (/ (sinh y) y))
13.0ms	(sinh y)

simplify39.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	333	428
1	1323	384
2	5002	382

prune67.0ms

Filtered

60 candidates to 77 candidates (-28.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Merged error: 0b

Counts

78 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sin x) (cbrt (pow (/ (sinh y) y) 3)))
0.0b	(sinh y)
0.0b	(pow (/ (sinh y) y) 3)
0.0b	(cbrt (pow (/ (sinh y) y) 3))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

70×	`cbrt-prod`
66×	`add-sqr-sqrt`
56×	`times-frac`
51×	`add-cube-cbrt` `*-un-lft-identity`
41×	`unpow-prod-down` `cube-prod`
35×	`associate-r`
9×	`add-exp-log`
8×	`add-cbrt-cube`
7×	`pow1` `unswap-sqr`
6×	`div-inv`
4×	`add-log-exp` `sqr-pow`
3×	`cube-div` `cube-mult` `pow-unpow` `unpow3` `associate-l`
2×	`cbrt-div` `pow-exp` `rem-cube-cbrt`
1×	`cbrt-undiv` `pow-to-exp` `sinh-def` `pow-pow` `pow1/3` `associate-r/` `div-exp` `pow-prod-down` `prod-exp` `-commutative` `rem-cbrt-cube` `cbrt-unprod`

Counts

4 → 153

Calls

4 calls:

13.0ms	(* (sin x) (cbrt (pow (/ (sinh y) y) 3)))
1.0ms	(sinh y)
4.0ms	(pow (/ (sinh y) y) 3)
4.0ms	(cbrt (pow (/ (sinh y) y) 3))

series64.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (sin x) (cbrt (pow (/ (sinh y) y) 3)))
11.0ms	(sinh y)
18.0ms	(pow (/ (sinh y) y) 3)
12.0ms	(cbrt (pow (/ (sinh y) y) 3))

simplify76.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	590	1050
1	2752	948
2	5001	927

prune127.0ms

Filtered

92 candidates to 165 candidates (-79.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	165	2	167

Merged error: 0b

Counts

167 → 2

regimes167.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	6
1	10	6

end0.0ms

analyze317.0ms

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
12.5%	87.4%	0.1%	4
18.7%	81.2%	0.1%	5
21.9%	78%	0.1%	6
50%	43.7%	6.3%	7
50%	43.7%	6.3%	8
56.2%	34.3%	9.5%	9
56.2%	34.3%	9.5%	10
59.3%	29.7%	11%	11
59.3%	29.7%	11%	12
60.9%	27.3%	11.8%	13
60.9%	27.3%	11.8%	14

sample2.4s

Algorithm

intervals

Results

513.0ms	1540×	body	1280	valid
460.0ms	1503×	body	1280	invalid
264.0ms	1264×	body	640	valid
251.0ms	1257×	body	640	invalid
210.0ms	4214×	body	80	valid
123.0ms	2425×	body	80	invalid
98.0ms	642×	body	320	invalid
94.0ms	647×	body	320	valid
32.0ms	335×	body	160	valid
31.0ms	316×	body	160	invalid

Details

analyze315.0ms

sample81.0ms

simplify73.0ms

prune3.0ms

localize16.0ms

rewrite23.0ms

series57.0ms

simplify39.0ms

prune67.0ms

localize10.0ms

rewrite29.0ms

series64.0ms

simplify76.0ms

prune127.0ms

regimes167.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze317.0ms

sample2.4s

Profiling