Details

analyze583.0ms (9.9%)

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)

sample3.8s (64.7%)

Results

1.1s	2059×	body	1024	valid
1.0s	1963×	body	1024	invalid
600.0ms	4670×	body	128	valid
343.0ms	1083×	body	512	invalid
337.0ms	1023×	body	512	valid
115.0ms	523×	body	256	invalid
110.0ms	495×	body	256	valid
96.0ms	707×	body	128	invalid
12.0ms	9×	body	2048	valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify95.0ms (1.6%)

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)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series43.0ms (0.7%)

Counts

3 → 40

Calls

3 calls:

32.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
7.0ms	(cosh.f64 x)
3.0ms	(/.f64 (sin.f64 y) y)

rewrite54.0ms (0.9%)

Algorithm

2×	batch-egg-rewrite

Rules

776×	`log1p-expm1-u_binary64`
776×	`expm1-log1p-u_binary64`
144×	`log1p-udef_binary64`
87×	`egg-rr`
79×	`add-sqr-sqrt_binary64`

Counts

3 → 87

Calls

3 calls:

52.0ms	(cosh.f64 x)
52.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
52.0ms	(/.f64 (sin.f64 y) y)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	149	20
2	1982	20
3	5123	20
0	0	0
1	0	0

simplify72.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

946×	`fma-neg_binary64`
549×	`times-frac_binary64`
345×	`fma-def_binary64`
297×	`sub-neg_binary64`
182×	`associate-+l+_binary64`

Counts

127 → 119

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	92	867
1	266	824
2	762	804
3	2580	784
4	4952	784
5	5418	784

prune112.0ms (1.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	111	8	119
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	111	9	120

Error

0.0b

Counts

120 → 9

Alt Table

Status	Error	Program
	1.3b	(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
	33.2b	(.f64 (cosh.f64 x) (fma.f64 (.f64 y y) -1/6 1))
	15.2b	(*.f64 (cosh.f64 x) (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2))
	0.7b	(.f64 (cosh.f64 x) (.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sin.f64 y) y))))
✓	0.1b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
	0.8b	(.f64 (cosh.f64 x) (.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2)))
	0.2b	(.f64 (cosh.f64 x) (.f64 (sin.f64 y) (/.f64 1 y)))
	31.8b	(/.f64 (/.f64 (*.f64 (sin.f64 y) (cosh.f64 x)) (sqrt.f64 y)) (sqrt.f64 y))
▶	0.2b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))

Compiler

Compiled 1855 to 886 computations (52.2% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series41.0ms (0.7%)

Counts

2 → 28

Calls

2 calls:

33.0ms	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
7.0ms	(/.f64 y (sin.f64 y))

rewrite59.0ms (1%)

Algorithm

2×	batch-egg-rewrite

Rules

866×	`log1p-expm1-u_binary64`
866×	`expm1-log1p-u_binary64`
83×	`add-sqr-sqrt_binary64`
81×	`prod-diff_binary64`
77×	`add-log-exp_binary64`

Counts

2 → 76

Calls

2 calls:

57.0ms	(/.f64 y (sin.f64 y))
57.0ms	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	155	17
2	2195	17
3	5496	17
0	0	0
1	0	0

simplify63.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

718×	`fma-neg_binary64`
528×	`times-frac_binary64`
501×	`associate-/l*_binary64`
323×	`fma-def_binary64`
259×	`sub-neg_binary64`

Counts

104 → 101

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	707
1	236	678
2	676	662
3	2332	646
4	5000	646
5	5344	646

prune108.0ms (1.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	127	3	130
Fresh	4	3	7
Picked	0	1	1
Done	0	1	1
Total	131	8	139

Error

0.0b

Counts

139 → 8

Alt Table

Status	Error	Program
▶	0.2b	(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
✓	0.2b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
	15.2b	(*.f64 (cosh.f64 x) (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2))
	0.7b	(.f64 (cosh.f64 x) (.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sin.f64 y) y))))
✓	0.1b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
	0.7b	(/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3))
	0.3b	(/.f64 (cosh.f64 x) (*.f64 y (/.f64 1 (sin.f64 y))))
	33.2b	(.f64 (cosh.f64 x) (fma.f64 (.f64 y y) -1/6 1))

Compiler

Compiled 1985 to 882 computations (55.6% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series56.0ms (1%)

Counts

2 → 48

Calls

2 calls:

32.0ms	(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
24.0ms	(/.f64 (cosh.f64 x) y)

rewrite51.0ms (0.9%)

Algorithm

2×	batch-egg-rewrite

Rules

769×	`log1p-expm1-u_binary64`
769×	`expm1-log1p-u_binary64`
144×	`log1p-udef_binary64`
79×	`add-sqr-sqrt_binary64`
73×	`add-log-exp_binary64`

Counts

2 → 57

Calls

2 calls:

49.0ms	(/.f64 (cosh.f64 x) y)
49.0ms	(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	149	17
2	1972	17
3	5085	17
0	0	0
1	0	0

simplify53.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

638×	`times-frac_binary64`
602×	`associate-/l*_binary64`
336×	`fma-neg_binary64`
283×	`fma-def_binary64`
259×	`sub-neg_binary64`

Counts

105 → 85

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	87	1105
1	246	1040
2	686	990
3	2338	974
4	5161	974

prune91.0ms (1.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	114	8	122

Error

0.0b

Counts

122 → 8

Alt Table

Status	Error	Program
✓	0.2b	(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
✓	0.2b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
	15.2b	(*.f64 (cosh.f64 x) (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2))
	0.7b	(.f64 (cosh.f64 x) (.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sin.f64 y) y))))
✓	0.1b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
	0.7b	(/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3))
▶	0.3b	(/.f64 (cosh.f64 x) (*.f64 y (/.f64 1 (sin.f64 y))))
	33.2b	(.f64 (cosh.f64 x) (fma.f64 (.f64 y y) -1/6 1))

Compiler

Compiled 1776 to 865 computations (51.3% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series52.0ms (0.9%)

Counts

3 → 40

Calls

3 calls:

34.0ms	(/.f64 (cosh.f64 x) (*.f64 y (/.f64 1 (sin.f64 y))))
7.0ms	(*.f64 y (/.f64 1 (sin.f64 y)))
6.0ms	(/.f64 1 (sin.f64 y))

rewrite61.0ms (1%)

Algorithm

2×	batch-egg-rewrite

Rules

502×	`log-prod_binary64`
247×	`pow2_binary64`
175×	`pow1/3_binary64`
170×	`expm1-udef_binary64`
170×	`log1p-udef_binary64`

Counts

3 → 106

Calls

3 calls:

60.0ms	(/.f64 1 (sin.f64 y))
60.0ms	(/.f64 (cosh.f64 x) (*.f64 y (/.f64 1 (sin.f64 y))))
60.0ms	(*.f64 y (/.f64 1 (sin.f64 y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	191	23
2	2454	23
3	5043	23
0	0	0
1	0	0

simplify48.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

528×	`times-frac_binary64`
403×	`fma-def_binary64`
336×	`fma-neg_binary64`
259×	`sub-neg_binary64`
206×	`associate-+l+_binary64`

Counts

146 → 138

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	810
1	274	779
2	772	761
3	2636	745
4	4986	745

prune129.0ms (2.2%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	167	0	167
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	167	8	175

Error

0.0b

Counts

175 → 8

Alt Table

Status	Error	Program
✓	0.2b	(*.f64 (sin.f64 y) (/.f64 (cosh.f64 x) y))
✓	0.2b	(/.f64 (cosh.f64 x) (/.f64 y (sin.f64 y)))
	15.2b	(*.f64 (cosh.f64 x) (pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2))
	0.7b	(.f64 (cosh.f64 x) (.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sin.f64 y) y))))
✓	0.1b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
	0.7b	(/.f64 (cosh.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3))
✓	0.3b	(/.f64 (cosh.f64 x) (*.f64 y (/.f64 1 (sin.f64 y))))
	33.2b	(.f64 (cosh.f64 x) (fma.f64 (.f64 y y) -1/6 1))

Compiler

Compiled 2463 to 1192 computations (51.6% saved)

regimes179.0ms (3%)

Accuracy

Total 0.1b remaining (56.6%)

Threshold costs 0.1b (56.6%)

Counts

42 → 1

Compiler

Compiled 2870 to 1944 computations (32.3% saved)

simplify2.0ms (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

end98.0ms (1.7%)

Compiler: Compiled 112 to 79 computations (29.5% saved)

Details

analyze583.0ms (9.9%)

sample3.8s (64.7%)

simplify95.0ms (1.6%)

prune2.0ms (0%)

localize6.0ms (0.1%)

series43.0ms (0.7%)

rewrite54.0ms (0.9%)

simplify72.0ms (1.2%)

prune112.0ms (1.9%)

localize6.0ms (0.1%)

series41.0ms (0.7%)

rewrite59.0ms (1%)

simplify63.0ms (1.1%)

prune108.0ms (1.8%)

localize6.0ms (0.1%)

series56.0ms (1%)

rewrite51.0ms (0.9%)

simplify53.0ms (0.9%)

prune91.0ms (1.5%)

localize7.0ms (0.1%)

series52.0ms (0.9%)

rewrite61.0ms (1%)

simplify48.0ms (0.8%)

prune129.0ms (2.2%)

regimes179.0ms (3%)

simplify2.0ms (0%)

end98.0ms (1.7%)

Profiling