Details

analyze461.0ms (8.6%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
37.5%	50%	12.6%	7
37.5%	50%	12.6%	8
43.7%	37.5%	18.8%	9
43.7%	37.5%	18.8%	10
46.8%	31.2%	22%	11
46.8%	31.2%	22%	12
48.4%	28.1%	23.5%	13
48.4%	28.1%	23.5%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample3.7s (67.9%)

Results

1.1s	2115×	body	1024	valid
975.0ms	2013×	body	1024	invalid
552.0ms	4630×	body	128	valid
324.0ms	985×	body	512	invalid
309.0ms	1009×	body	512	valid
111.0ms	506×	body	256	invalid
110.0ms	498×	body	256	valid
92.0ms	711×	body	128	invalid
9.0ms	4×	body	2048	valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify54.0ms (1%)

Algorithm

1×	egg-herbie

Rules

804×	`fma-neg_binary64`
610×	`div-sub_binary64`
491×	`times-frac_binary64`
410×	`associate-/l*_binary64`
352×	`cancel-sign-sub-inv_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	16	11
2	34	11
3	73	11
4	160	11
5	361	11
6	984	11
7	3177	11
8	4701	11
9	5010	11

prune1.0ms (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

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (sinh.f64 y) y)
✓	0.0b	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓	0.0b	(sinh.f64 y)

series53.0ms (1%)

Counts

3 → 48

Calls

3 calls:

32.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
13.0ms	(/.f64 (sinh.f64 y) y)
8.0ms	(sinh.f64 y)

rewrite55.0ms (1%)

Algorithm

2×	batch-egg-rewrite

Rules

760×	`log1p-expm1-u_binary64`
760×	`expm1-log1p-u_binary64`
142×	`log1p-udef_binary64`
80×	`egg-rr`
78×	`add-sqr-sqrt_binary64`

Counts

3 → 80

Calls

3 calls:

54.0ms	(/.f64 (sinh.f64 y) y)
54.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
54.0ms	(sinh.f64 y)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	148	20
2	1947	20
3	5022	20
0	0	0
1	0	0

simplify77.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

686×	`fma-neg_binary64`
477×	`fma-def_binary64`
332×	`sub-neg_binary64`
201×	`associate-l_binary64`
187×	`associate-r_binary64`

Counts

128 → 117

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	121	1020
1	352	961
2	1025	944
3	3418	942
4	4916	942
5	4997	942

prune82.0ms (1.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	115	2	117
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	116	2	118

Error

Counts

118 → 2

Alt Table

Status	Error	Program
▶	0.1b	(.f64 (cos.f64 x) (.f64 (sinh.f64 y) (/.f64 1 y)))
	0.6b	(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (cos.f64 x))))

Compiler

Compiled 1712 to 797 computations (53.4% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series43.0ms (0.8%)

Counts

2 → 36

Calls

2 calls:

32.0ms	(.f64 (cos.f64 x) (.f64 (sinh.f64 y) (/.f64 1 y)))
11.0ms	(*.f64 (sinh.f64 y) (/.f64 1 y))

rewrite67.0ms (1.2%)

Algorithm

2×	batch-egg-rewrite

Rules

825×	`log1p-expm1-u_binary64`
825×	`expm1-log1p-u_binary64`
92×	`add-sqr-sqrt_binary64`
84×	`add-cbrt-cube_binary64`
84×	`add-log-exp_binary64`

Counts

2 → 50

Calls

2 calls:

66.0ms	(.f64 (cos.f64 x) (.f64 (sinh.f64 y) (/.f64 1 y)))
66.0ms	(*.f64 (sinh.f64 y) (/.f64 1 y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	184	17
2	2164	17
3	5151	17
0	0	0
1	0	0

simplify72.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

686×	`fma-neg_binary64`
389×	`fma-def_binary64`
332×	`sub-neg_binary64`
180×	`distribute-rgt-neg-in_binary64`
177×	`associate-/l*_binary64`

Counts

86 → 78

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	105	866
1	308	817
2	914	802
3	3100	791
4	4843	791
5	4957	791

prune63.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	110	2	112

Error

Counts

112 → 2

Alt Table

Status	Error	Program
✓	0.1b	(.f64 (cos.f64 x) (.f64 (sinh.f64 y) (/.f64 1 y)))
▶	0.6b	(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (cos.f64 x))))

Compiler

Compiled 1661 to 867 computations (47.8% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (cos.f64 x))))
✓	0.1b	(*.f64 (pow.f64 y 2) (cos.f64 x))
✓	0.2b	(.f64 1/6 (.f64 (pow.f64 y 2) (cos.f64 x)))

series88.0ms (1.6%)

Counts

3 → 15

Calls

3 calls:

61.0ms	(.f64 1/6 (.f64 (pow.f64 y 2) (cos.f64 x)))
16.0ms	(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (cos.f64 x))))
10.0ms	(*.f64 (pow.f64 y 2) (cos.f64 x))

rewrite89.0ms (1.7%)

Algorithm

2×	batch-egg-rewrite

Rules

948×	`prod-diff_binary64`
312×	`fma-def_binary64`
207×	`fma-neg_binary64`
184×	`expm1-udef_binary64`
184×	`log1p-udef_binary64`

Counts

3 → 83

Calls

3 calls:

87.0ms	(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (cos.f64 x))))
87.0ms	(*.f64 (pow.f64 y 2) (cos.f64 x))
87.0ms	(.f64 1/6 (.f64 (pow.f64 y 2) (cos.f64 x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	214	36
2	2482	34
3	4847	34
4	4890	34
0	0	0
1	0	0

simplify57.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

345×	`sub-neg_binary64`
341×	`fma-def_binary64`
302×	`distribute-rgt-neg-in_binary64`
289×	`distribute-lft-neg-in_binary64`
249×	`cancel-sign-sub-inv_binary64`

Counts

98 → 110

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	409
1	170	379
2	592	333
3	2486	317
4	4764	317
5	5045	317

prune71.0ms (1.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	110	2	112

Error

Counts

112 → 2

Alt Table

Status	Error	Program
✓	0.1b	(.f64 (cos.f64 x) (.f64 (sinh.f64 y) (/.f64 1 y)))
✓	0.6b	(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (cos.f64 x))))

Compiler

Compiled 1963 to 1025 computations (47.8% saved)

regimes327.0ms (6.1%)

Accuracy

Total 0.1b remaining (88.8%)

Threshold costs 0.1b (88.8%)

Counts

81 → 1

Compiler

Compiled 4859 to 3485 computations (28.3% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	11	16
2	11	16

end46.0ms (0.9%)

Compiler: Compiled 48 to 35 computations (27.1% saved)

Details

analyze461.0ms (8.6%)

sample3.7s (67.9%)

simplify54.0ms (1%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series53.0ms (1%)

rewrite55.0ms (1%)

simplify77.0ms (1.4%)

prune82.0ms (1.5%)

localize7.0ms (0.1%)

series43.0ms (0.8%)

rewrite67.0ms (1.2%)

simplify72.0ms (1.3%)

prune63.0ms (1.2%)

localize7.0ms (0.1%)

series88.0ms (1.6%)

rewrite89.0ms (1.7%)

simplify57.0ms (1.1%)

prune71.0ms (1.3%)

regimes327.0ms (6.1%)

simplify2.0ms (0%)

end46.0ms (0.9%)

Profiling