Details

analyze341.0ms

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

sample86.0ms

Algorithm

intervals

Results

19.0ms	57×	body	1280	valid
13.0ms	45×	body	1280	invalid
11.0ms	40×	body	640	valid
9.0ms	47×	body	640	invalid
6.0ms	134×	body	80	valid
4.0ms	88×	body	80	invalid
4.0ms	25×	body	320	invalid
2.0ms	17×	body	320	valid
1.0ms	11×	body	160	invalid
1.0ms	8×	body	160	valid

simplify38.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4909	7
1	4909	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

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(sinh y)
0.0b	(* (sin 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)
7.0ms	(* (sin x) (/ (sinh y) y))

series29.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(sinh y)
21.0ms	(* (sin x) (/ (sinh y) y))

simplify42.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5468	383

prune54.0ms

Filtered

36 candidates to 46 candidates (-27.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	44	2	46
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	2	47

Merged error: 0b

Counts

47 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

90×	`cbrt-prod`
77×	`add-sqr-sqrt`
60×	`times-frac`
52×	`add-cube-cbrt` `*-un-lft-identity`
33×	`associate-r`
25×	`pow1`
21×	`cbrt-div`
20×	`add-exp-log` `associate-l`
16×	`swap-sqr`
14×	`associate-*r/`
11×	`pow-prod-down` `add-cbrt-cube`
10×	`prod-exp` `cbrt-unprod` `unswap-sqr`
7×	`frac-times` `pow1/3` `associate-*l/`
6×	`div-inv`
4×	`add-log-exp`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 163

Calls

4 calls:

2.0ms	(cbrt (/ (sinh y) y))
10.0ms	(* (sin x) (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y))))
15.0ms	(* (* (sin x) (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))) (cbrt (/ (sinh y) y)))
12.0ms	(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))

series157.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(cbrt (/ (sinh y) y))
52.0ms	(* (sin x) (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y))))
23.0ms	(* (* (sin x) (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))) (cbrt (/ (sinh y) y)))
47.0ms	(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))

simplify64.0ms

Algorithm

egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4929	2279
1	4929	2279

prune153.0ms

Filtered

128 candidates to 175 candidates (-36.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	175	0	175
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	175	2	177

Merged error: 0b

Counts

177 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.2b	(* (sin x) (sinh y))
12.9b	(/ (* (sin 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	(* (sin x) (sinh y))
5.0ms	(/ (* (sin x) (sinh y)) y)

series47.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(sinh y)
19.0ms	(* (sin x) (sinh y))
20.0ms	(/ (* (sin x) (sinh y)) y)

simplify38.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	6016	419

prune49.0ms

Filtered

44 candidates to 58 candidates (-31.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	58	2	60

Merged error: 0b

Counts

60 → 2

regimes142.0ms

Accuracy

0% (0.0b 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	11	20
1	11	20

end0.0ms

sample2.3s

Algorithm

intervals

Results

506.0ms	1500×	body	1280	valid
442.0ms	1436×	body	1280	invalid
258.0ms	1251×	body	640	invalid
251.0ms	1242×	body	640	valid
218.0ms	4332×	body	80	valid
116.0ms	2296×	body	80	invalid
90.0ms	627×	body	320	valid
88.0ms	595×	body	320	invalid
33.0ms	304×	body	160	invalid
29.0ms	299×	body	160	valid

Details

analyze341.0ms

sample86.0ms

simplify38.0ms

prune3.0ms

localize7.0ms

rewrite9.0ms

series29.0ms

simplify42.0ms

prune54.0ms

localize10.0ms

rewrite48.0ms

series157.0ms

simplify64.0ms

prune153.0ms

localize7.0ms

rewrite11.0ms

series47.0ms

simplify38.0ms

prune49.0ms

regimes142.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.3s

Profiling