Details

sample1.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 11.71875%

Guaranteed chance to sample good point: 69.911504%

Results

19.0ms	59×	body	1280	valid
16.0ms	54×	body	1280	invalid
8.0ms	40×	body	640	valid
7.0ms	135×	body	80	valid
5.0ms	29×	body	640	invalid
3.0ms	22×	body	320	invalid
3.0ms	58×	body	80	invalid
2.0ms	15×	body	320	valid
1.0ms	11×	body	160	invalid
1.0ms	7×	body	160	valid

simplify74.0ms

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

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 60

Calls

2 calls:

3.0ms	(/ (sinh y) y)
7.0ms	(* (sin x) (/ (sinh y) y))

series34.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(/ (sinh y) y)
20.0ms	(* (sin x) (/ (sinh y) y))

simplify38.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	305	390
1	1248	347
2	5001	329

prune60.0ms

Filtered

49 candidates to 66 candidates (-34.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	2	67

Merged error: 0b

Counts

67 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
37×	`times-frac`
35×	`add-cube-cbrt` `*-un-lft-identity`
26×	`sqrt-prod`
16×	`associate-r`
13×	`add-exp-log` `add-cbrt-cube`
10×	`pow1`
6×	`associate-/r` `associate-/l`
5×	`sqrt-div`
4×	`div-inv` `add-log-exp`
3×	`associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `sinh-def` `rem-sqrt-square` `frac-2neg` `div-exp` `clear-num` `associate-/l/`
1×	`frac-times` `sqrt-pow1` `pow1/2` `associate-l` `associate-l/` `-commutative`

Counts

4 → 115

Calls

4 calls:

3.0ms	(sqrt (/ (sinh y) y))
11.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
3.0ms	(/ (sinh y) y)
4.0ms	(/ (sinh y) y)

series80.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(sqrt (/ (sinh y) y))
40.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
10.0ms	(/ (sinh y) y)
11.0ms	(/ (sinh y) y)

simplify108.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (96.0ms)

Iter	Nodes	Cost
0	856	1117
1	4298	1009
2	5002	1003

prune131.0ms

Filtered

102 candidates to 127 candidates (-24.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	127	2	129

Merged error: 0b

Counts

129 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (sin x) (sinh y))
14.6b	(/ (* (sin x) (sinh y)) y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

4.0ms	(* (sin x) (sinh y))
5.0ms	(/ (* (sin x) (sinh y)) y)

series37.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(* (sin x) (sinh y))
20.0ms	(/ (* (sin x) (sinh y)) y)

simplify38.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	260	280
1	1192	235
2	5001	218

prune38.0ms

Filtered

33 candidates to 47 candidates (-42.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	47	2	49

Merged error: 0b

Counts

49 → 2

regimes129.0ms

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	10	9
1	10	9

end0.0ms

sample3.6s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 11.71875%

Guaranteed chance to sample good point: 69.911504%

Results

490.0ms	1485×	body	1280	valid
439.0ms	1449×	body	1280	invalid
262.0ms	1267×	body	640	valid
225.0ms	1171×	body	640	invalid
218.0ms	4291×	body	80	valid
126.0ms	2289×	body	80	invalid
91.0ms	630×	body	320	valid
88.0ms	629×	body	320	invalid
32.0ms	327×	body	160	valid
32.0ms	287×	body	160	invalid

Details

sample1.2s

simplify74.0ms

prune3.0ms

localize7.0ms

rewrite12.0ms

series34.0ms

simplify38.0ms

prune60.0ms

localize9.0ms

rewrite25.0ms

series80.0ms

simplify108.0ms

prune131.0ms

localize7.0ms

rewrite11.0ms

series37.0ms

simplify38.0ms

prune38.0ms

regimes129.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.6s

Profiling