Details

analyze331.0ms

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
12.5%	87.4%	0.1%	4
18.7%	81.2%	0.1%	5
21.9%	78%	0.1%	6
50%	43.7%	6.3%	7
50%	43.7%	6.3%	8
56.2%	34.3%	9.5%	9
56.2%	34.3%	9.5%	10
59.3%	29.7%	11%	11
59.3%	29.7%	11%	12
60.9%	27.3%	11.8%	13
60.9%	27.3%	11.8%	14

sample77.0ms

Algorithm

intervals

Results

16.0ms	50×	body	1280	valid
14.0ms	50×	body	1280	invalid
8.0ms	40×	body	640	invalid
6.0ms	27×	body	320	invalid
6.0ms	33×	body	640	valid
6.0ms	138×	body	80	valid
3.0ms	75×	body	80	invalid
3.0ms	26×	body	320	valid
1.0ms	11×	body	160	invalid
1.0ms	9×	body	160	valid

simplify43.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4909	7
1	4909	7

prune2.0ms

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

rewrite14.0ms

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) y)
7.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

series48.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(sinh.f64 y)
16.0ms	(/.f64 (sinh.f64 y) y)
24.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

simplify59.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4927	621
1	4927	621

prune59.0ms

Filtered

60 candidates to 77 candidates (-28.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	75	3	78

Merged error: 0b

Counts

78 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 y)
0.1b	(*.f64 (sin.f64 x) (sinh.f64 y))
14.0b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)

rewrite13.0ms

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)) y)

series53.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(sinh.f64 y)
19.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
23.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)

simplify41.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	6016	419

prune38.0ms

Filtered

42 candidates to 58 candidates (-38.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	58	3	61

Merged error: 0b

Counts

61 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
0.0b	(sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))
0.0b	(sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))
0.3b	(.f64 (sqrt.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1_binary64`
32×	`sqrt-pow1_binary64`
23×	`pow-prod-down_binary64` `add-sqr-sqrt_binary64`
17×	`associate-r_binary64`
16×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`pow1/2_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`pow-prod-up_binary64` `times-frac_binary64`
8×	`associate-*r/_binary64`
7×	`associate-l_binary64`
6×	`pow-sqr_binary64` `sqrt-prod_binary64` `sqrt-div_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64`
3×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
2×	`*-commutative_binary64`
1×	`cbrt-undiv_binary64` `rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `div-inv_binary64` `div-exp_binary64` `frac-times_binary64` `pow2_binary64` `associate-*l/_binary64`

Counts

4 → 108

Calls

4 calls:

7.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
4.0ms	(sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))
4.0ms	(sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))
13.0ms	(.f64 (sqrt.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))))

series321.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
103.0ms	(sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))
125.0ms	(sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))
67.0ms	(.f64 (sqrt.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))))

simplify45.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5508	1884

prune86.0ms

Filtered

76 candidates to 120 candidates (-57.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	120	3	123

Merged error: 0b

Counts

123 → 3

regimes161.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms

sample2.2s

Algorithm

intervals

Results

494.0ms	1510×	body	1280	valid
424.0ms	1469×	body	1280	invalid
246.0ms	1229×	body	640	valid
237.0ms	1237×	body	640	invalid
201.0ms	4325×	body	80	valid
112.0ms	2362×	body	80	invalid
82.0ms	589×	body	320	invalid
80.0ms	610×	body	320	valid
31.0ms	326×	body	160	valid
29.0ms	306×	body	160	invalid

Details

analyze331.0ms

sample77.0ms

simplify43.0ms

prune2.0ms

localize6.0ms

rewrite14.0ms

series48.0ms

simplify59.0ms

prune59.0ms

localize6.0ms

rewrite13.0ms

series53.0ms

simplify41.0ms

prune38.0ms

localize10.0ms

rewrite32.0ms

series321.0ms

simplify45.0ms

prune86.0ms

regimes161.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.2s

Profiling