Details

analyze328.0ms

Algorithm: search

sample77.0ms

Algorithm

intervals

Results

15.0ms	44×	body	1280	valid
15.0ms	50×	body	1280	invalid
11.0ms	161×	body	80	valid
6.0ms	34×	body	640	invalid
5.0ms	28×	body	640	valid
5.0ms	87×	body	80	invalid
3.0ms	20×	body	320	invalid
2.0ms	16×	body	320	valid
1.0ms	12×	body	160	invalid
1.0ms	7×	body	160	valid

simplify73.0ms

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

localize6.0ms

Local error

Found 3 expressions with local error:

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

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:

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

series44.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(/ (sinh y) y)
8.0ms	(sinh y)
22.0ms	(* (sin x) (/ (sinh y) y))

simplify42.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (36.0ms)

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

prune72.0ms

Filtered

60 candidates to 77 candidates (-28.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	2	78

Merged error: 0b

Counts

78 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt y)
0.7b	(cbrt (sinh y))
0.7b	(cbrt (sinh y))
0.7b	(cbrt (sinh y))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`sinh-def` `cbrt-div`

Counts

4 → 47

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt (sinh y))
1.0ms	(cbrt (sinh y))
1.0ms	(cbrt (sinh y))

series106.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt y)
27.0ms	(cbrt (sinh y))
29.0ms	(cbrt (sinh y))
28.0ms	(cbrt (sinh y))

simplify42.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 3 (37.0ms)

Iter	Nodes	Cost
0	136	318
1	294	299
2	1020	229
3	5001	210

prune57.0ms

Filtered

44 candidates to 59 candidates (-34.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	59	2	61

Merged error: 0b

Counts

61 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
16.0b	(/ (* (sin x) (sinh y)) y)

rewrite13.0ms

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)
6.0ms	(* (sin x) (sinh y))
5.0ms	(/ (* (sin x) (sinh y)) y)

series44.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(sinh y)
17.0ms	(* (sin x) (sinh y))
20.0ms	(/ (* (sin x) (sinh y)) y)

simplify36.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (32.0ms)

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

prune47.0ms

Filtered

43 candidates to 58 candidates (-34.9%)

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

regimes106.0ms

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	14	16
1	14	16

end0.0ms

analyze319.0ms

Algorithm: search

sample2.4s

Algorithm

intervals

Results

522.0ms	1526×	body	1280	valid
464.0ms	1485×	body	1280	invalid
259.0ms	1211×	body	640	valid
247.0ms	1232×	body	640	invalid
223.0ms	4301×	body	80	valid
131.0ms	2326×	body	80	invalid
91.0ms	649×	body	320	valid
90.0ms	601×	body	320	invalid
31.0ms	313×	body	160	valid
30.0ms	304×	body	160	invalid

Details

analyze328.0ms

sample77.0ms

simplify73.0ms

prune3.0ms

localize6.0ms

rewrite14.0ms

series44.0ms

simplify42.0ms

prune72.0ms

localize14.0ms

rewrite6.0ms

series106.0ms

simplify42.0ms

prune57.0ms

localize7.0ms

rewrite13.0ms

series44.0ms

simplify36.0ms

prune47.0ms

regimes106.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze319.0ms

sample2.4s

Profiling