Details

sample3.8s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 12.109375%

Guaranteed chance to sample good point: 70.222222%

Results

19.0ms	43×	body	1280	valid
15.0ms	52×	body	1280	invalid
12.0ms	57×	body	640	valid
8.0ms	38×	body	640	invalid
6.0ms	119×	body	80	valid
4.0ms	82×	body	80	invalid
3.0ms	23×	body	320	valid
3.0ms	18×	body	320	invalid
1.0ms	14×	body	160	valid
1.0ms	9×	body	160	invalid

simplify78.0ms

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 3 expressions with local error:

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

7.0ms	(* (sin x) (/ (sinh y) y))
4.0ms	(/ (sinh y) y)
1.0ms	(sinh y)

series41.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(* (sin x) (/ (sinh y) y))
11.0ms	(/ (sinh y) y)
8.0ms	(sinh y)

simplify45.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (36.0ms)

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

prune76.0ms

Filtered

60 candidates to 77 candidates (-28.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	74	3	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	3	78

Merged error: 0b

Counts

78 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(/ (sinh y) y)
0.0b	(pow (/ (sinh y) y) 3)
0.0b	(cbrt (pow (/ (sinh y) y) 3))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac`
42×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
32×	`cbrt-prod`
26×	`unpow-prod-down` `cube-prod`
9×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `div-inv`
4×	`add-log-exp`
3×	`pow-unpow` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `cube-div` `cube-mult` `sinh-def` `unpow3` `div-exp` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `clear-num` `rem-cbrt-cube` `associate-/l/`

Counts

4 → 124

Calls

4 calls:

1.0ms	(sinh y)
4.0ms	(/ (sinh y) y)
5.0ms	(pow (/ (sinh y) y) 3)
5.0ms	(cbrt (pow (/ (sinh y) y) 3))

series52.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(sinh y)
11.0ms	(/ (sinh y) y)
20.0ms	(pow (/ (sinh y) y) 3)
13.0ms	(cbrt (pow (/ (sinh y) y) 3))

simplify62.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	456	766
1	2135	694
2	5002	659

prune116.0ms

Filtered

78 candidates to 136 candidates (-74.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	136	3	139

Merged error: 0b

Counts

139 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (sin x) (/ (sinh y) y))) (cbrt (* (sin x) (/ (sinh y) y))))
0.6b	(cbrt (* (sin x) (/ (sinh y) y)))
0.6b	(cbrt (* (sin x) (/ (sinh y) y)))
0.6b	(cbrt (* (sin x) (/ (sinh y) y)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `-un-lft-identity` `associate-r/`
7×	`cbrt-prod` `cbrt-div`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 64

Calls

4 calls:

6.0ms	(* (cbrt (* (sin x) (/ (sinh y) y))) (cbrt (* (sin x) (/ (sinh y) y))))
4.0ms	(cbrt (* (sin x) (/ (sinh y) y)))
4.0ms	(cbrt (* (sin x) (/ (sinh y) y)))
4.0ms	(cbrt (* (sin x) (/ (sinh y) y)))

series208.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (cbrt (* (sin x) (/ (sinh y) y))) (cbrt (* (sin x) (/ (sinh y) y))))
47.0ms	(cbrt (* (sin x) (/ (sinh y) y)))
46.0ms	(cbrt (* (sin x) (/ (sinh y) y)))
48.0ms	(cbrt (* (sin x) (/ (sinh y) y)))

simplify128.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (121.0ms)

Iter	Nodes	Cost
0	309	782
1	973	674
2	4483	590
3	5001	583

prune82.0ms

Filtered

61 candidates to 76 candidates (-24.6%)

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

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
12.2b	(/ (* (sin x) (sinh y)) y)

rewrite12.0ms

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)
5.0ms	(* (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)

simplify37.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	279	320
1	1233	272
2	5002	255

prune49.0ms

Filtered

43 candidates to 58 candidates (-34.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	58	3	61

Merged error: 0b

Counts

61 → 3

regimes193.0ms

Accuracy

0% (0.1b 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	6
1	10	6

end0.0ms

sample6.6s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 12.109375%

Guaranteed chance to sample good point: 70.222222%

Results

527.0ms	1545×	body	1280	valid
475.0ms	1573×	body	1280	invalid
268.0ms	1287×	body	640	invalid
263.0ms	1248×	body	640	valid
226.0ms	4263×	body	80	valid
136.0ms	2329×	body	80	invalid
90.0ms	636×	body	320	invalid
88.0ms	623×	body	320	valid
32.0ms	321×	body	160	valid
30.0ms	298×	body	160	invalid

Details

sample3.8s

simplify78.0ms

prune3.0ms

localize7.0ms

rewrite14.0ms

series41.0ms

simplify45.0ms

prune76.0ms

localize10.0ms

rewrite19.0ms

series52.0ms

simplify62.0ms

prune116.0ms

localize12.0ms

rewrite20.0ms

series208.0ms

simplify128.0ms

prune82.0ms

localize7.0ms

rewrite12.0ms

series47.0ms

simplify37.0ms

prune49.0ms

regimes193.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample6.6s

Profiling