Details

analyze348.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
43.7%	56.2%	0.1%	6
43.7%	46.8%	9.5%	7
46.8%	42.1%	11%	8
46.8%	36.7%	16.5%	9
48.4%	34%	17.7%	10
48.4%	31%	20.6%	11
49.2%	29.6%	21.3%	12
49.2%	28%	22.8%	13
49.6%	27.3%	23.1%	14

sample54.0ms

Algorithm

intervals

Results

15.0ms	63×	body	1024	invalid
12.0ms	202×	body	128	valid
5.0ms	19×	body	1024	valid
5.0ms	32×	body	512	invalid
2.0ms	16×	body	512	valid
2.0ms	19×	body	256	valid
2.0ms	18×	body	256	invalid
1.0ms	19×	body	128	invalid

simplify58.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5035	11

prune1.0ms

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: 11.6b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 y)
0.1b	(*.f64 (sin.f64 x) (sinh.f64 y))
11.6b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
5×	`pow1_binary64`
3×	`associate-/r_binary64` `add-log-exp_binary64` `sinh-def_binary64` `associate-r_binary64` `associate-l*_binary64` `times-frac_binary64`
2×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `prod-exp_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

3 → 49

Calls

3 calls:

1.0ms	(sinh.f64 y)
5.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
6.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

series458.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(sinh.f64 y)
177.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
209.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

simplify56.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5731	673

prune51.0ms

Filtered

43 candidates to 58 candidates (-34.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	51	7	58
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	8	59

Merged error: 0b

Counts

59 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 y)
0.0b	(/.f64 (sinh.f64 y) x)
0.2b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `times-frac_binary64`
13×	`associate-r_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow1_binary64`
3×	`associate-/r_binary64` `add-log-exp_binary64` `associate-l_binary64` `associate-/l_binary64`
2×	`sinh-def_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

3 → 68

Calls

3 calls:

1.0ms	(sinh.f64 y)
4.0ms	(/.f64 (sinh.f64 y) x)
8.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))

series415.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(sinh.f64 y)
131.0ms	(/.f64 (sinh.f64 y) x)
204.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))

simplify62.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4945	1011
1	4945	1011

prune41.0ms

Filtered

58 candidates to 77 candidates (-32.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	77	8	85

Merged error: 0b

Counts

85 → 8

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(sinh.f64 y)
0.7b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac_binary64`
45×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
14×	`associate-/r*_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`sinh-def_binary64` `associate-/r/_binary64` `div-inv_binary64`
3×	`cbrt-undiv_binary64` `associate-/l*_binary64` `div-exp_binary64`
2×	`add-log-exp_binary64` `pow1_binary64`
1×	`clear-num_binary64` `frac-2neg_binary64`

Counts

2 → 82

Calls

2 calls:

1.0ms	(sinh.f64 y)
8.0ms	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

series271.0ms

Counts

2 → 6

Calls

2 calls:

77.0ms	(sinh.f64 y)
194.0ms	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

simplify61.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5041	1868

prune63.0ms

Filtered

73 candidates to 88 candidates (-20.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	1	4	5
Picked	0	1	1
Done	1	1	2
Total	89	7	96

Merged error: 0b

Counts

96 → 7

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 y)
0.1b	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
0.1b	(/.f64 (sin.f64 x) x)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `times-frac_binary64`
13×	`associate-l_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow1_binary64`
3×	`associate-/r_binary64` `add-log-exp_binary64` `sinh-def_binary64` `associate-r_binary64` `associate-/l_binary64`
2×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

3 → 69

Calls

3 calls:

1.0ms	(sinh.f64 y)
8.0ms	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
4.0ms	(/.f64 (sin.f64 x) x)

series325.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(sinh.f64 y)
203.0ms	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
41.0ms	(/.f64 (sin.f64 x) x)

simplify56.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5007	1001

prune37.0ms

Filtered

61 candidates to 78 candidates (-27.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	78	7	85

Merged error: 0b

Counts

85 → 7

regimes65.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	11
1	8	11

end0.0ms

sample1.6s

Algorithm

intervals

Results

485.0ms	1951×	body	1024	invalid
315.0ms	6329×	body	128	valid
170.0ms	602×	body	1024	valid
160.0ms	1044×	body	512	invalid
106.0ms	655×	body	512	valid
53.0ms	509×	body	256	invalid
45.0ms	747×	body	128	invalid
42.0ms	414×	body	256	valid
0.0ms	1×	body	2048	invalid

Details

analyze348.0ms

sample54.0ms

simplify58.0ms

prune1.0ms

localize7.0ms

rewrite15.0ms

series458.0ms

simplify56.0ms

prune51.0ms

localize7.0ms

rewrite18.0ms

series415.0ms

simplify62.0ms

prune41.0ms

localize15.0ms

rewrite16.0ms

series271.0ms

simplify61.0ms

prune63.0ms

localize6.0ms

rewrite17.0ms

series325.0ms

simplify56.0ms

prune37.0ms

regimes65.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.6s

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