Details

analyze324.0ms

Algorithm: search

sample77.0ms

Algorithm

intervals

Results

19.0ms	68×	body	1280	invalid
18.0ms	53×	body	1280	valid
6.0ms	33×	body	640	valid
6.0ms	34×	body	640	invalid
5.0ms	135×	body	80	valid
3.0ms	24×	body	320	valid
3.0ms	22×	body	320	invalid
1.0ms	21×	body	80	invalid
1.0ms	11×	body	160	valid
1.0ms	7×	body	160	invalid

simplify72.0ms

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

rewrite13.0ms

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:

1.0ms	(sinh y)
6.0ms	(* (cos x) (/ (sinh y) y))
3.0ms	(/ (sinh y) y)

series37.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(sinh y)
19.0ms	(* (cos x) (/ (sinh y) y))
11.0ms	(/ (sinh y) y)

simplify39.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	324	427
1	1285	383
2	5001	381

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

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (cos x) (sinh y))
0.2b	(* (* (cos x) (sinh y)) (/ 1 y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
17×	`add-cbrt-cube`
16×	`associate-r`
14×	`add-sqr-sqrt`
13×	`prod-exp`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow1`
9×	`times-frac`
7×	`cbrt-unprod`
4×	`sinh-def` `associate-r/` `div-exp` `associate-l*` `pow-prod-down`
3×	`add-log-exp`
2×	`cbrt-undiv` `rec-exp` `1-exp` `*-commutative`
1×	`frac-times` `associate-*l/` `un-div-inv` `div-inv` `unswap-sqr`

Counts

3 → 67

Calls

3 calls:

1.0ms	(sinh y)
4.0ms	(* (cos x) (sinh y))
8.0ms	(* (* (cos x) (sinh y)) (/ 1 y))

series40.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(sinh y)
15.0ms	(* (cos x) (sinh y))
18.0ms	(* (* (cos x) (sinh y)) (/ 1 y))

simplify48.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	406	468
1	1998	386
2	5002	345

prune59.0ms

Filtered

49 candidates to 76 candidates (-55.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Merged error: 0b

Counts

78 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cos x) (cbrt (pow (/ (sinh y) y) 3)))
0.0b	(/ (sinh y) y)
0.0b	(pow (/ (sinh y) y) 3)
0.3b	(cbrt (pow (/ (sinh y) y) 3))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

74×	`add-sqr-sqrt`
70×	`cbrt-prod`
65×	`times-frac`
59×	`add-cube-cbrt` `*-un-lft-identity`
41×	`unpow-prod-down` `cube-prod`
35×	`associate-r`
11×	`add-exp-log`
10×	`add-cbrt-cube`
7×	`pow1` `div-inv` `unswap-sqr`
4×	`add-log-exp` `sqr-pow`
3×	`cube-div` `cube-mult` `pow-unpow` `unpow3` `associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `cbrt-div` `div-exp` `pow-exp` `rem-cube-cbrt`
1×	`pow-to-exp` `sinh-def` `pow-pow` `frac-2neg` `pow1/3` `associate-r/` `pow-prod-down` `prod-exp` `clear-num` `-commutative` `rem-cbrt-cube` `cbrt-unprod` `associate-/l/`

Counts

4 → 173

Calls

4 calls:

12.0ms	(* (cos x) (cbrt (pow (/ (sinh y) y) 3)))
3.0ms	(/ (sinh y) y)
5.0ms	(pow (/ (sinh y) y) 3)
5.0ms	(cbrt (pow (/ (sinh y) y) 3))

series65.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (cos x) (cbrt (pow (/ (sinh y) y) 3)))
15.0ms	(/ (sinh y) y)
17.0ms	(pow (/ (sinh y) y) 3)
12.0ms	(cbrt (pow (/ (sinh y) y) 3))

simplify86.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	585	1153
1	2862	1048
2	5001	1027

prune145.0ms

Filtered

108 candidates to 185 candidates (-71.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	185	0	185
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	185	2	187

Merged error: 0b

Counts

187 → 2

regimes128.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

analyze323.0ms

Algorithm: search

sample2.1s

Algorithm

intervals

Results

491.0ms	1506×	body	1280	valid
451.0ms	1546×	body	1280	invalid
244.0ms	1273×	body	640	valid
231.0ms	1232×	body	640	invalid
192.0ms	4338×	body	80	valid
78.0ms	588×	body	320	invalid
77.0ms	586×	body	320	valid
30.0ms	558×	body	80	invalid
27.0ms	297×	body	160	valid
26.0ms	281×	body	160	invalid

Details

analyze324.0ms

sample77.0ms

simplify72.0ms

prune3.0ms

localize6.0ms

rewrite13.0ms

series37.0ms

simplify39.0ms

prune72.0ms

localize7.0ms

rewrite15.0ms

series40.0ms

simplify48.0ms

prune59.0ms

localize11.0ms

rewrite31.0ms

series65.0ms

simplify86.0ms

prune145.0ms

regimes128.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze323.0ms

sample2.1s

Profiling