Details

sample86.0ms

Algorithm

intervals

Results

31.0ms	90×	body	1280	valid
14.0ms	75×	body	640	valid
14.0ms	308×	body	80	valid
5.0ms	37×	body	320	valid
3.0ms	29×	body	160	valid

simplify80.0ms

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

Filtered

1 candidates to 0 candidates (100.0%)

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

rewrite14.0ms

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)
4.0ms	(/ (sinh y) y)
7.0ms	(* (sin x) (/ (sinh y) y))

series43.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(sinh y)
11.0ms	(/ (sinh y) y)
21.0ms	(* (sin x) (/ (sinh y) y))

simplify40.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (35.0ms)

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

prune71.0ms

Filtered

77 candidates to 60 candidates (22.1%)

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

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
15.9b	(* (* (sin x) (sinh y)) (/ 1 y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

1.0ms	(sinh y)
4.0ms	(* (sin x) (sinh y))
8.0ms	(* (* (sin x) (sinh y)) (/ 1 y))

series46.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(sinh y)
18.0ms	(* (sin x) (sinh y))
20.0ms	(* (* (sin x) (sinh y)) (/ 1 y))

simplify52.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	418	471
1	2052	387
2	5001	347

prune59.0ms

Filtered

76 candidates to 48 candidates (36.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Merged error: 0b

Counts

79 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (/ (sinh y) y))
0.0b	(sqrt (sin x))
0.0b	(sqrt (sin x))
0.2b	(* (* (sqrt (sin x)) (sqrt (/ (sinh y) y))) (* (sqrt (sin x)) (sqrt (/ (sinh y) y))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

62×	`pow1`
35×	`pow-prod-down`
19×	`sqrt-pow1` `pow1/2` `sqrt-prod`
18×	`add-sqr-sqrt`
16×	`add-exp-log` `add-cbrt-cube`
13×	`add-cube-cbrt` `*-un-lft-identity`
10×	`times-frac`
8×	`prod-exp` `pow-prod-up` `cbrt-unprod`
6×	`pow-sqr`
5×	`sqrt-unprod` `sqrt-div` `associate-*r/`
4×	`rem-sqrt-square` `add-log-exp`
2×	`pow-plus`
1×	`pow2` `frac-times` `swap-sqr` `associate-r` `associate-l` `associate-l/` `rem-square-sqrt` `-commutative` `div-inv`

Counts

4 → 98

Calls

4 calls:

3.0ms	(sqrt (/ (sinh y) y))
1.0ms	(sqrt (sin x))
1.0ms	(sqrt (sin x))
15.0ms	(* (* (sqrt (sin x)) (sqrt (/ (sinh y) y))) (* (sqrt (sin x)) (sqrt (/ (sinh y) y))))

series66.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(sqrt (/ (sinh y) y))
3.0ms	(sqrt (sin x))
3.0ms	(sqrt (sin x))
40.0ms	(* (* (sqrt (sin x)) (sqrt (/ (sinh y) y))) (* (sqrt (sin x)) (sqrt (/ (sinh y) y))))

simplify111.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (101.0ms)

Iter	Nodes	Cost
0	810	906
1	4312	751
2	5001	741

prune98.0ms

Filtered

110 candidates to 64 candidates (41.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	110	3	113

Merged error: 0b

Counts

113 → 3

regimes184.0ms

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	7	4
1	7	4

end0.0ms

sample2.4s

Algorithm

intervals

Results

899.0ms	3006×	body	1280	valid
475.0ms	2520×	body	640	valid
370.0ms	8581×	body	80	valid
176.0ms	1239×	body	320	valid
51.0ms	567×	body	160	valid

Details

sample86.0ms

simplify80.0ms

prune3.0ms

localize7.0ms

rewrite14.0ms

series43.0ms

simplify40.0ms

prune71.0ms

localize8.0ms

rewrite15.0ms

series46.0ms

simplify52.0ms

prune59.0ms

localize11.0ms

rewrite24.0ms

series66.0ms

simplify111.0ms

prune98.0ms

regimes184.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.4s

Profiling