Details

analyze344.0ms

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

sample73.0ms

Algorithm

intervals

Results

17.0ms	61×	body	1280	invalid
16.0ms	53×	body	1280	valid
8.0ms	44×	body	640	invalid
6.0ms	35×	body	640	valid
6.0ms	141×	body	80	valid
4.0ms	30×	body	320	invalid
2.0ms	16×	body	320	valid
1.0ms	11×	body	160	valid
1.0ms	17×	body	80	invalid
1.0ms	9×	body	160	invalid

simplify72.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

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

series33.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(sinh y)
25.0ms	(* (cos x) (/ (sinh y) y))

simplify33.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	272	274
1	1126	241
2	5002	223

prune50.0ms

Filtered

34 candidates to 46 candidates (-35.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	43	3	46
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	4	47

Merged error: 0b

Counts

47 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (cos x) (sinh y))
0.2b	(/ (* (cos x) (sinh y)) y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 49

Calls

3 calls:

1.0ms	(sinh y)
4.0ms	(* (cos x) (sinh y))
5.0ms	(/ (* (cos x) (sinh y)) y)

series42.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(sinh y)
15.0ms	(* (cos x) (sinh y))
19.0ms	(/ (* (cos x) (sinh y)) y)

simplify34.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	267	317
1	1179	271
2	5001	253

prune51.0ms

Filtered

42 candidates to 58 candidates (-38.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	2	0	2
Picked	1	0	1
Done	1	0	1
Total	61	1	62

Merged error: 0b

Counts

62 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b

(sinh y)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `sinh-def` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`

Counts

1 → 8

Calls

1 calls:

1.0ms

(sinh y)

series10.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(sinh y)

simplify113.0ms

Algorithm

egg-herbie

Counts

11 → 11

Iterations

Useful iterations: 5 (111.0ms)

Iter	Nodes	Cost
0	59	40
1	125	37
2	290	37
3	748	37
4	4222	37
5	5001	31

prune16.0ms

Filtered

10 candidates to 11 candidates (-10.0%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	11	0	11
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	1	12

Merged error: 0b

Counts

12 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	4

end0.0ms

analyze312.0ms

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

sample2.1s

Algorithm

intervals

Results

466.0ms	1470×	body	1280	valid
419.0ms	1487×	body	1280	invalid
240.0ms	1284×	body	640	valid
235.0ms	1279×	body	640	invalid
189.0ms	4269×	body	80	valid
95.0ms	664×	body	320	valid
81.0ms	621×	body	320	invalid
29.0ms	325×	body	160	invalid
28.0ms	554×	body	80	invalid
28.0ms	313×	body	160	valid

Details

analyze344.0ms

sample73.0ms

simplify72.0ms

prune3.0ms

localize6.0ms

rewrite9.0ms

series33.0ms

simplify33.0ms

prune50.0ms

localize6.0ms

rewrite11.0ms

series42.0ms

simplify34.0ms

prune51.0ms

localize6.0ms

rewrite1.0ms

series10.0ms

simplify113.0ms

prune16.0ms

simplify1.0ms

end0.0ms

analyze312.0ms

sample2.1s

Profiling