Details

analyze332.0ms

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

sample63.0ms

Algorithm

intervals

Results

13.0ms	47×	body	1280	invalid
12.0ms	37×	body	1280	valid
7.0ms	40×	body	640	invalid
7.0ms	39×	body	640	valid
6.0ms	152×	body	80	valid
2.0ms	19×	body	320	invalid
2.0ms	16×	body	320	valid
1.0ms	20×	body	80	invalid
1.0ms	12×	body	160	valid
1.0ms	8×	body	160	invalid

simplify56.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	6448	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

localize6.0ms

Local error

Found 3 expressions with local error:

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

7.0ms	(* (cos x) (/ (sinh y) y))
3.0ms	(/ (sinh y) y)
1.0ms	(sinh y)

series43.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(* (cos x) (/ (sinh y) y))
11.0ms	(/ (sinh y) y)
8.0ms	(sinh y)

simplify44.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4946	621
1	4946	621

prune69.0ms

Filtered

64 candidates to 77 candidates (-20.3%)

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: 0.0b

Counts

78 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cos x) (/ 1 (/ y (sinh y))))
0.0b	(/ 1 (/ y (sinh y)))
0.0b	(/ y (sinh y))
0.0b	(sinh y)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

162×	`times-frac`
106×	`add-sqr-sqrt`
94×	`*-un-lft-identity`
92×	`add-cube-cbrt`
47×	`associate-r`
36×	`add-exp-log`
20×	`add-cbrt-cube`
17×	`associate-/r*`
15×	`div-exp`
10×	`associate-/r/` `div-inv`
9×	`sinh-def`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`associate-/l*`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp` `add-log-exp`
3×	`associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 192

Calls

4 calls:

15.0ms	(* (cos x) (/ 1 (/ y (sinh y))))
6.0ms	(/ 1 (/ y (sinh y)))
3.0ms	(/ y (sinh y))
1.0ms	(sinh y)

series53.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (cos x) (/ 1 (/ y (sinh y))))
11.0ms	(/ 1 (/ y (sinh y)))
15.0ms	(/ y (sinh y))
8.0ms	(sinh y)

simplify46.0ms

Algorithm

egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5102	1908

prune157.0ms

Filtered

144 candidates to 204 candidates (-41.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	204	0	204
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	204	2	206

Merged error: 0.0b

Counts

206 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(/ (cbrt (pow (sinh y) 3)) y)
0.0b	(pow (sinh y) 3)
40.4b	(cbrt (pow (sinh y) 3))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-prod`
45×	`times-frac`
42×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`unpow-prod-down` `cube-prod`
15×	`associate-/l*`
7×	`add-exp-log`
6×	`cube-mult` `unpow3` `add-cbrt-cube` `sqr-pow`
5×	`pow1`
4×	`sinh-def` `add-log-exp`
3×	`cube-div` `pow-unpow` `associate-/r*`
2×	`cbrt-div`
1×	`cbrt-undiv` `pow-to-exp` `pow-pow` `frac-2neg` `pow1/3` `div-exp` `pow-exp` `clear-num` `rem-cbrt-cube` `div-inv` `associate-/l/` `rem-cube-cbrt`

Counts

4 → 130

Calls

4 calls:

1.0ms	(sinh y)
8.0ms	(/ (cbrt (pow (sinh y) 3)) y)
2.0ms	(pow (sinh y) 3)
2.0ms	(cbrt (pow (sinh y) 3))

series39.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(sinh y)
11.0ms	(/ (cbrt (pow (sinh y) 3)) y)
13.0ms	(pow (sinh y) 3)
8.0ms	(cbrt (pow (sinh y) 3))

simplify48.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5153	1103

prune109.0ms

Filtered

83 candidates to 142 candidates (-71.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	142	2	144

Merged error: 0.0b

Counts

144 → 2

regimes94.0ms

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	9
1	10	9

end0.0ms

analyze310.0ms

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

sample2.0s

Algorithm

intervals

Results

456.0ms	1442×	body	1280	valid
408.0ms	1459×	body	1280	invalid
231.0ms	1289×	body	640	valid
218.0ms	1205×	body	640	invalid
185.0ms	4339×	body	80	valid
76.0ms	625×	body	320	valid
74.0ms	602×	body	320	invalid
29.0ms	305×	body	160	valid
28.0ms	319×	body	160	invalid
26.0ms	520×	body	80	invalid

Details

analyze332.0ms

sample63.0ms

simplify56.0ms

prune3.0ms

localize6.0ms

rewrite13.0ms

series43.0ms

simplify44.0ms

prune69.0ms

localize8.0ms

rewrite36.0ms

series53.0ms

simplify46.0ms

prune157.0ms

localize9.0ms

rewrite18.0ms

series39.0ms

simplify48.0ms

prune109.0ms

regimes94.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze310.0ms

sample2.0s

Profiling