Details

analyze771.0ms (7.8%)

Algorithm

1×

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
25%	68.7%	6.3%	6
43.7%	46.8%	9.5%	7
43.7%	42.1%	14.1%	8
46.8%	36.7%	16.5%	9
46.8%	34%	19.2%	10
48.4%	31%	20.6%	11
48.4%	29.6%	22%	12
49.2%	28%	22.8%	13
49.2%	27.3%	23.5%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample162.0ms (1.6%)

Algorithm

1×

intervals

Results

50.0ms	80×	body	1024	invalid
48.0ms	75×	body	1024	valid
14.0ms	132×	body	128	valid
11.0ms	37×	body	512	invalid
9.0ms	33×	body	512	valid
4.0ms	22×	body	256	invalid
3.0ms	16×	body	256	valid
2.0ms	18×	body	128	invalid

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify104.0ms (1%)

Algorithm

1×	egg-herbie

Rules

855×	`fma-def_binary64`
772×	`unswap-sqr_binary64`
448×	`associate-/l*_binary64`
363×	`times-frac_binary64`
280×	`associate-/r*_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	16	11
2	32	11
3	60	11
4	107	11
5	169	11
6	327	11
7	806	11
8	2101	11
9	2217	11
10	2592	11
11	4159	11
12	4537	11
13	4915	11
14	4955	11
15	4919	11

prune2.0ms (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

Error

0.1b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.1b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
✓	0.1b	(/.f64 (sin.f64 y) y)

series59.0ms (0.6%)

Counts

2 → 28

Calls

2 calls:

54.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
5.0ms	(/.f64 (sin.f64 y) y)

rewrite18.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
19×	`times-frac_binary64`
18×	`*-un-lft-identity_binary64`
18×	`add-cube-cbrt_binary64`
13×	`associate-r_binary64`

Counts

2 → 65

Calls

2 calls:

9.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
4.0ms	(/.f64 (sin.f64 y) y)

simplify180.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

383×	`associate-*l/_binary64`
364×	`associate-l_binary64`
347×	`associate-*r/_binary64`
318×	`associate-/l*_binary64`
316×	`associate-r_binary64`

Counts

93 → 118

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	172	1673
1	422	1547
2	1344	1529
3	4419	1528
4	4958	1528
5	4996	1528
6	4961	1528

prune174.0ms (1.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	113	5	118
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	114	5	119

Error

0.0b

Counts

119 → 5

Alt Table

Status	Error	Program
	18.9b	(.f64 (cosh.f64 x) (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y))))
	1.4b	(.f64 (cosh.f64 x) (/.f64 (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (/.f64 y (cbrt.f64 (sin.f64 y)))))
▶	0.1b	(/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)
	0.2b	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
	0.2b	(.f64 (.f64 (cosh.f64 x) (sin.f64 y)) (/.f64 1 y))

Compiler

Compiled 1995 to 657 computations (67.1% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (cosh.f64 x) (sin.f64 y))
✓	0.1b	(/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)

series95.0ms (1%)

Counts

2 → 48

Calls

2 calls:

55.0ms	(/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)
40.0ms	(*.f64 (cosh.f64 x) (sin.f64 y))

rewrite15.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-cbrt-cube_binary64`
9×	`add-exp-log_binary64`
8×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64`
6×	`add-cube-cbrt_binary64`

Counts

2 → 45

Calls

2 calls:

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

simplify96.0ms (1%)

Algorithm

1×	egg-herbie

Rules

811×	`times-frac_binary64`
687×	`associate-/l*_binary64`
593×	`fma-def_binary64`
301×	`associate-/l/_binary64`
222×	`cancel-sign-sub-inv_binary64`

Counts

93 → 104

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	182	1891
1	487	1733
2	1662	1555
3	5012	1555

prune127.0ms (1.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	104	5	109

Error

0.0b

Counts

109 → 5

Alt Table

Status	Error	Program
	18.9b	(.f64 (cosh.f64 x) (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y))))
▶	0.1b	(/.f64 1 (/.f64 y (*.f64 (cosh.f64 x) (sin.f64 y))))
	1.4b	(.f64 (cosh.f64 x) (/.f64 (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (/.f64 y (cbrt.f64 (sin.f64 y)))))
✓	0.1b	(/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)
	0.2b	(.f64 (.f64 (cosh.f64 x) (sin.f64 y)) (/.f64 1 y))

Compiler

Compiled 1887 to 775 computations (58.9% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (cosh.f64 x) (sin.f64 y))
✓	0.1b	(/.f64 y (*.f64 (cosh.f64 x) (sin.f64 y)))
✓	0.1b	(/.f64 1 (/.f64 y (*.f64 (cosh.f64 x) (sin.f64 y))))

series233.0ms (2.4%)

Counts

2 → 48

Calls

2 calls:

171.0ms	(/.f64 y (*.f64 (cosh.f64 x) (sin.f64 y)))
62.0ms	(/.f64 1 (/.f64 y (*.f64 (cosh.f64 x) (sin.f64 y))))

rewrite32.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`times-frac_binary64`
28×	`add-exp-log_binary64`
21×	`*-un-lft-identity_binary64`
21×	`add-sqr-sqrt_binary64`
21×	`add-cube-cbrt_binary64`

Counts

2 → 86

Calls

2 calls:

17.0ms	(/.f64 1 (/.f64 y (*.f64 (cosh.f64 x) (sin.f64 y))))
6.0ms	(/.f64 y (*.f64 (cosh.f64 x) (sin.f64 y)))

simplify235.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

832×	`fma-def_binary64`
235×	`cancel-sign-sub-inv_binary64`
153×	`associate-/r*_binary64`
153×	`distribute-rgt-in_binary64`
145×	`fma-neg_binary64`

Counts

134 → 159

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	275	3699
1	711	3191
2	2720	3000
3	4825	2999
4	4986	2999
5	4951	2999

prune293.0ms (3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	206	2	208
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	208	5	213

Error

Counts

213 → 5

Alt Table

Status	Error	Program
	18.9b	(.f64 (cosh.f64 x) (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y))))
✓	0.1b	(/.f64 1 (/.f64 y (*.f64 (cosh.f64 x) (sin.f64 y))))
✓	0.1b	(/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)
	0.3b	(/.f64 1 (.f64 y (/.f64 1 (.f64 (cosh.f64 x) (sin.f64 y)))))
▶	0.2b	(.f64 (/.f64 1 y) (/.f64 1 (/.f64 1 (.f64 (cosh.f64 x) (sin.f64 y)))))

Compiler

Compiled 4795 to 2242 computations (53.2% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (cosh.f64 x) (sin.f64 y))
✓	0.1b	(/.f64 1 (*.f64 (cosh.f64 x) (sin.f64 y)))
✓	0.2b	(.f64 (/.f64 1 y) (/.f64 1 (/.f64 1 (.f64 (cosh.f64 x) (sin.f64 y)))))
✓	0.3b	(/.f64 1 (/.f64 1 (*.f64 (cosh.f64 x) (sin.f64 y))))

series244.0ms (2.5%)

Counts

3 → 72

Calls

3 calls:

154.0ms	(/.f64 1 (*.f64 (cosh.f64 x) (sin.f64 y)))
53.0ms	(.f64 (/.f64 1 y) (/.f64 1 (/.f64 1 (.f64 (cosh.f64 x) (sin.f64 y)))))
37.0ms	(/.f64 1 (/.f64 1 (*.f64 (cosh.f64 x) (sin.f64 y))))

rewrite98.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

343×	`add-exp-log_binary64`
178×	`div-exp_binary64`
136×	`prod-exp_binary64`
93×	`times-frac_binary64`
89×	`rec-exp_binary64`

Counts

3 → 273

Calls

3 calls:

27.0ms	(.f64 (/.f64 1 y) (/.f64 1 (/.f64 1 (.f64 (cosh.f64 x) (sin.f64 y)))))
11.0ms	(/.f64 1 (*.f64 (cosh.f64 x) (sin.f64 y)))
10.0ms	(/.f64 1 (/.f64 1 (*.f64 (cosh.f64 x) (sin.f64 y))))

simplify403.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

329×	`cancel-sign-sub-inv_binary64`
232×	`fma-def_binary64`
225×	`associate-r_binary64`
210×	`fma-neg_binary64`
188×	`*-commutative_binary64`

Counts

345 → 397

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	384	6480
1	953	5928
2	3688	5927
3	4851	5927
4	4982	5927
5	4998	5927
6	4954	5927

prune621.0ms (6.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	446	0	446
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	446	5	451

Error

Counts

451 → 5

Alt Table

Status	Error	Program
	18.9b	(.f64 (cosh.f64 x) (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y))))
✓	0.1b	(/.f64 1 (/.f64 y (*.f64 (cosh.f64 x) (sin.f64 y))))
✓	0.1b	(/.f64 (*.f64 (cosh.f64 x) (sin.f64 y)) y)
	0.3b	(/.f64 1 (.f64 y (/.f64 1 (.f64 (cosh.f64 x) (sin.f64 y)))))
✓	0.2b	(.f64 (/.f64 1 y) (/.f64 1 (/.f64 1 (.f64 (cosh.f64 x) (sin.f64 y)))))

Compiler

Compiled 10180 to 5672 computations (44.3% saved)

regimes756.0ms (7.6%)

Accuracy

Total 0.1b remaining (67.6%)

Threshold costs 0.1b (67.6%)

Counts

94 → 1

Compiler

Compiled 7055 to 4794 computations (32% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	8	11
2	8	11

end1.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

sample5.1s (51.8%)

Algorithm

1×

intervals

Results

1.3s	2022×	body	1024	valid
1.2s	1874×	body	1024	invalid
561.0ms	4492×	body	128	valid
363.0ms	996×	body	512	invalid
349.0ms	969×	body	512	valid
129.0ms	698×	body	128	invalid
121.0ms	509×	body	256	valid
120.0ms	515×	body	256	invalid
12.0ms	8×	body	2048	valid
2.0ms	2×	body	2048	invalid

Compiler

Compiled 85 to 59 computations (30.6% saved)

Details

analyze771.0ms (7.8%)

sample162.0ms (1.6%)

simplify104.0ms (1%)

prune2.0ms (0%)

localize10.0ms (0.1%)

series59.0ms (0.6%)

rewrite18.0ms (0.2%)

simplify180.0ms (1.8%)

prune174.0ms (1.8%)

localize10.0ms (0.1%)

series95.0ms (1%)

rewrite15.0ms (0.1%)

simplify96.0ms (1%)

prune127.0ms (1.3%)

localize12.0ms (0.1%)

series233.0ms (2.4%)

rewrite32.0ms (0.3%)

simplify235.0ms (2.4%)

prune293.0ms (3%)

localize16.0ms (0.2%)

series244.0ms (2.5%)

rewrite98.0ms (1%)

simplify403.0ms (4.1%)

prune621.0ms (6.3%)

regimes756.0ms (7.6%)

simplify4.0ms (0%)

end1.0ms (0%)

sample5.1s (51.8%)

Profiling