Details

analyze326.0ms

Algorithm: search

sample73.0ms

Algorithm

intervals

Results

17.0ms	53×	body	1280	valid
10.0ms	36×	body	1280	invalid
8.0ms	43×	body	640	valid
7.0ms	36×	body	640	invalid
7.0ms	145×	body	80	valid
4.0ms	88×	body	80	invalid
3.0ms	26×	body	320	invalid
2.0ms	13×	body	320	valid
1.0ms	8×	body	160	invalid
0.0ms	2×	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

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.0b	(/ (sinh y) y)
0.0b	(* (sin x) (/ (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)
3.0ms	(/ (sinh y) y)
7.0ms	(* (sin x) (/ (sinh y) y))

series44.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(sinh y)
11.0ms	(/ (sinh y) y)
25.0ms	(* (sin x) (/ (sinh y) y))

simplify40.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (34.0ms)

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

prune76.0ms

Filtered

60 candidates to 77 candidates (-28.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	74	3	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	74	4	78

Merged error: 0b

Counts

78 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 124

Calls

4 calls:

4.0ms	(/ (sinh y) y)
4.0ms	(/ (sinh y) y)
15.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
8.0ms	(* (sin x) (sqrt (/ (sinh y) y)))

series107.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(/ (sinh y) y)
11.0ms	(/ (sinh y) y)
41.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))
44.0ms	(* (sin x) (sqrt (/ (sinh y) y)))

simplify37.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	964	1278
1	5002	1167

prune156.0ms

Filtered

108 candidates to 136 candidates (-25.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	136	4	140

Merged error: 0b

Counts

140 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (/ (sinh y) y))
0.0b	(cbrt (/ (sinh y) y))
0.0b	(cbrt (/ (sinh y) y))
0.0b	(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 144

Calls

4 calls:

2.0ms	(cbrt (/ (sinh y) y))
2.0ms	(cbrt (/ (sinh y) y))
2.0ms	(cbrt (/ (sinh y) y))
12.0ms	(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))

series152.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(cbrt (/ (sinh y) y))
36.0ms	(cbrt (/ (sinh y) y))
35.0ms	(cbrt (/ (sinh y) y))
46.0ms	(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))

simplify47.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	349	1437
1	1194	1386
2	5002	1321

prune148.0ms

Filtered

126 candidates to 156 candidates (-23.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	156	4	160

Merged error: 0b

Counts

160 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite5.0ms

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`
1×	`sinh-def` `cbrt-div`

Counts

4 → 45

Calls

4 calls:

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

series93.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(cbrt (sinh y))
21.0ms	(cbrt y)
21.0ms	(cbrt y)
23.0ms	(cbrt y)

simplify41.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (36.0ms)

Iter	Nodes	Cost
0	136	242
1	294	225
2	1020	175
3	5001	166

prune53.0ms

Filtered

44 candidates to 57 candidates (-29.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	57	4	61

Merged error: 0b

Counts

61 → 4

regimes211.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	7	4

end0.0ms

analyze322.0ms

Algorithm: search

sample2.5s

Algorithm

intervals

Results

502.0ms	1494×	body	1280	valid
441.0ms	1195×	body	640	invalid
413.0ms	1394×	body	1280	invalid
253.0ms	1292×	body	640	valid
208.0ms	4300×	body	80	valid
119.0ms	2404×	body	80	invalid
91.0ms	625×	body	320	invalid
86.0ms	632×	body	320	valid
27.0ms	282×	body	160	valid
26.0ms	274×	body	160	invalid

Details

analyze326.0ms

sample73.0ms

simplify74.0ms

prune3.0ms

localize6.0ms

rewrite13.0ms

series44.0ms

simplify40.0ms

prune76.0ms

localize9.0ms

rewrite35.0ms

series107.0ms

simplify37.0ms

prune156.0ms

localize10.0ms

rewrite25.0ms

series152.0ms

simplify47.0ms

prune148.0ms

localize14.0ms

rewrite5.0ms

series93.0ms

simplify41.0ms

prune53.0ms

regimes211.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze322.0ms

sample2.5s

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