Details

sample68.0ms

Algorithm

intervals

Results

24.0ms	86×	body	1280	valid
15.0ms	84×	body	640	valid
10.0ms	249×	body	80	valid
5.0ms	37×	body	320	valid
1.0ms	16×	body	160	valid

simplify79.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	30	4
2	66	4
3	137	4
4	262	4
5	492	4
6	1390	4
7	4856	4
8	5001	4

prune6.0ms

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 79

Calls

3 calls:

3.0ms	(/ (sinh y) y)
1.0ms	(sinh y)
9.0ms	(* (sin x) (/ (sinh y) y))

series271.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(/ (sinh y) y)
67.0ms	(sinh y)
111.0ms	(* (sin x) (/ (sinh y) y))

simplify45.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	350	468
1	1419	422
2	5002	410

prune141.0ms

Filtered

88 candidates to 67 candidates (23.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	85	3	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	3	89

Merged error: 0b

Counts

89 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
56×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
20×	`associate-/r*`
14×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/l*`
6×	`sinh-def` `div-inv`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `frac-2neg` `clear-num` `add-log-exp`

Counts

3 → 118

Calls

3 calls:

3.0ms	(/ y (sinh y))
1.0ms	(sinh y)
8.0ms	(/ (sin x) (/ y (sinh y)))

series276.0ms

Counts

3 → 9

Calls

3 calls:

103.0ms	(/ y (sinh y))
62.0ms	(sinh y)
111.0ms	(/ (sin x) (/ y (sinh y)))

simplify61.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	492	968
1	2114	916
2	5002	901

prune219.0ms

Filtered

127 candidates to 104 candidates (18.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	2	0	2
Picked	0	1	1
Done	0	0	0
Total	128	2	130

Merged error: 0b

Counts

130 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

456×	`add-sqr-sqrt`
411×	`times-frac`
360×	`sqrt-div`
350×	`sqrt-prod`
316×	`add-cube-cbrt` `*-un-lft-identity`
187×	`associate-/r*`
162×	`frac-times`
123×	`associate-/l*`
119×	`associate-/r/`
95×	`swap-sqr`
85×	`associate-r` `associate-l`
45×	`unswap-sqr`
41×	`frac-2neg` `clear-num`
22×	`sinh-def`
21×	`div-inv`
19×	`pow1`
18×	`associate-r/` `associate-l/`
11×	`add-exp-log` `add-cbrt-cube`
8×	`sqrt-pow1` `pow1/2`
5×	`*-commutative` `pow-prod-up`
4×	`add-log-exp`
3×	`pow-prod-down` `pow-sqr`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 586

Calls

4 calls:

1.0ms	(sinh y)
1.0ms	(sinh y)
36.0ms	(/ (sin x) (* (sqrt (/ y (sinh y))) (sqrt (/ y (sinh y)))))
22.0ms	(* (sqrt (/ y (sinh y))) (sqrt (/ y (sinh y))))

series340.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(sinh y)
66.0ms	(sinh y)
115.0ms	(/ (sin x) (* (sqrt (/ y (sinh y))) (sqrt (/ y (sinh y)))))
92.0ms	(* (sqrt (/ y (sinh y))) (sqrt (/ y (sinh y))))

simplify103.0ms

Algorithm

egg-herbie

Counts

598 → 598

Iterations

Useful iterations: 1 (36.0ms)

Iter	Nodes	Cost
0	1565	7212
1	5001	6680

prune1.0s

Filtered

598 candidates to 347 candidates (42.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	598	0	598
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	598	2	600

Merged error: 0b

Counts

600 → 2

regimes41.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9

end0.0ms

sample2.2s

Algorithm

intervals

Results

848.0ms	2945×	body	1280	valid
456.0ms	2588×	body	640	valid
355.0ms	8601×	body	80	valid
159.0ms	1241×	body	320	valid
56.0ms	661×	body	160	valid