Details

sample79.0ms

Algorithm

intervals

Results

24.0ms	86×	body	1280	valid
15.0ms	78×	body	640	valid
12.0ms	291×	body	80	valid
6.0ms	52×	body	320	valid
1.0ms	17×	body	160	valid

simplify76.0ms

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

prune4.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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	(/ (sinh y) y)
0.0b	(sinh 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:

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

series295.0ms

Counts

3 → 9

Calls

3 calls:

105.0ms	(/ (sinh y) y)
71.0ms	(sinh y)
118.0ms	(* (sin x) (/ (sinh y) y))

simplify41.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (35.0ms)

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

prune236.0ms

Filtered

77 candidates to 60 candidates (22.1%)

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: 0.0b

Counts

78 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

1.0ms	(sinh y)
4.0ms	(/ (sinh y) y)
7.0ms	(/ (sinh y) y)
13.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

series527.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(sinh y)
156.0ms	(/ (sinh y) y)
133.0ms	(/ (sinh y) y)
163.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

simplify76.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	624	849
1	3010	754
2	5002	750

prune712.0ms

Filtered

110 candidates to 88 candidates (20.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	109	5	114

Merged error: 0b

Counts

114 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (sin x) (/ (sinh y) y))) (cbrt (* (sin x) (/ (sinh y) y))))
0.7b	(cbrt (* (sin x) (/ (sinh y) y)))
0.7b	(cbrt (* (sin x) (/ (sinh y) y)))
0.7b	(cbrt (* (sin x) (/ (sinh y) y)))

rewrite18.0ms

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:

5.0ms	(* (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)))

series1.1s

Counts

4 → 12

Calls

4 calls:

309.0ms	(* (cbrt (* (sin x) (/ (sinh y) y))) (cbrt (* (sin x) (/ (sinh y) y))))
251.0ms	(cbrt (* (sin x) (/ (sinh y) y)))
247.0ms	(cbrt (* (sin x) (/ (sinh y) y)))
245.0ms	(cbrt (* (sin x) (/ (sinh y) y)))

simplify144.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	310	728
1	1070	645
2	4929	561
3	5002	561

prune241.0ms

Filtered

76 candidates to 61 candidates (19.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	76	5	81

Merged error: 0b

Counts

81 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (sin x) (sqrt (/ (sinh y) y))) (fabs (cbrt (sinh y))))
0.6b	(cbrt (sinh y))
0.6b	(cbrt (sinh y))
4.9b	(* (* (* (sin x) (sqrt (/ (sinh y) y))) (fabs (cbrt (sinh y)))) (sqrt (/ (cbrt (sinh y)) y)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

28×	`associate-r`
22×	`sqrt-prod`
21×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`pow1` `add-exp-log` `times-frac` `add-cbrt-cube`
15×	`cbrt-prod`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`sqrt-div`
4×	`associate-r/` `associate-l/` `add-log-exp`
2×	`sinh-def` `cbrt-div` `pow1/3` `associate-l` `*-commutative`
1×	`frac-times` `div-inv`

Counts

4 → 89

Calls

4 calls:

8.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (fabs (cbrt (sinh y))))
1.0ms	(cbrt (sinh y))
1.0ms	(cbrt (sinh y))
15.0ms	(* (* (* (sin x) (sqrt (/ (sinh y) y))) (fabs (cbrt (sinh y)))) (sqrt (/ (cbrt (sinh y)) y)))

series1.1s

Counts

4 → 12

Calls

4 calls:

263.0ms	(* (* (sin x) (sqrt (/ (sinh y) y))) (fabs (cbrt (sinh y))))
192.0ms	(cbrt (sinh y))
196.0ms	(cbrt (sinh y))
402.0ms	(* (* (* (sin x) (sqrt (/ (sinh y) y))) (fabs (cbrt (sinh y)))) (sqrt (/ (cbrt (sinh y)) y)))

simplify43.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1341	1846
1	5001	1714

prune1.6s

Filtered

101 candidates to 85 candidates (15.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	101	5	106

Merged error: 0b

Counts

106 → 5

regimes236.0ms

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

sample2.3s

Algorithm

intervals

Results

845.0ms	2889×	body	1280	valid
459.0ms	2488×	body	640	valid
359.0ms	8464×	body	80	valid
150.0ms	1193×	body	320	valid
56.0ms	633×	body	160	valid

Details

sample79.0ms

simplify76.0ms

prune4.0ms

localize7.0ms

rewrite13.0ms

series295.0ms

simplify41.0ms

prune236.0ms

localize8.0ms

rewrite28.0ms

series527.0ms

simplify76.0ms

prune712.0ms

localize11.0ms

rewrite18.0ms

series1.1s

simplify144.0ms

prune241.0ms

localize17.0ms

rewrite28.0ms

series1.1s

simplify43.0ms

prune1.6s

regimes236.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.3s

Profiling