Details

analyze819.0ms (7.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
12.5%	87.3%	0.2%	9
12.5%	87.3%	0.2%	10
18.7%	81.1%	0.2%	11
18.7%	81.1%	0.2%	12

Compiler

Compiled 35 to 24 computations (31.4% saved)

sample2.1s (19%)

Results

1.7s	8079×	body	64	valid
93.0ms	100×	body	1024	invalid
65.0ms	310×	body	64	invalid
64.0ms	67×	body	1024	valid
61.0ms	81×	body	512	invalid
38.0ms	47×	body	512	valid
33.0ms	59×	body	256	invalid
28.0ms	24×	body	2048	invalid
25.0ms	46×	body	256	valid
11.0ms	29×	body	128	invalid
5.0ms	14×	body	128	valid
4.0ms	3×	body	2048	valid

preprocess58.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

558×	`distribute-rgt-in_binary64`
557×	`exp-sum_binary64`
428×	`fma-neg_binary64`
386×	`sub-neg_binary64`
349×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	154	495
1	429	495
2	1042	473
3	3765	473
0	5	5
1	5	5

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1
2
3
4

Outputs
0
1
2
1
3
4

Call 2

Inputs
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 m (+.f64 K n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 K n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 K n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 n (+.f64 m K)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m K) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m K))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 M (+.f64 m n)) 2) K)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) K) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 l (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 K (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 n m))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 M n)) 2) m)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 M n) 2) m) 2)) (-.f64 l (fabs.f64 (-.f64 M n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 l n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 l n) 2) M) 2)) (-.f64 m (fabs.f64 (-.f64 l n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m M)) 2) n)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m M) 2) n) 2)) (-.f64 l (fabs.f64 (-.f64 m M))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m l)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m l) 2) M) 2)) (-.f64 n (fabs.f64 (-.f64 m l))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) l)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) l) 2)) (-.f64 M (fabs.f64 (-.f64 m n))))))

Outputs
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) l) (fabs.f64 (-.f64 m n)))))
(.f64 (cos.f64 (-.f64 (.f64 (/.f64 K 2) (+.f64 m n)) M)) (exp.f64 (+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) l))))
(*.f64 (cos.f64 (fma.f64 (/.f64 K 2) (+.f64 m n) (neg.f64 M))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(/.f64 (cos.f64 (fma.f64 (+.f64 m n) (/.f64 K 2) (neg.f64 M))) (exp.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 m (+.f64 K n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 K n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 K n))))))
(*.f64 (cos.f64 (-.f64 (/.f64 m (/.f64 2 (+.f64 K n))) M)) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 K n) 2) M) 2)) l) (fabs.f64 (-.f64 K n)))))
(.f64 (cos.f64 (-.f64 (.f64 (/.f64 m 2) (+.f64 K n)) M)) (exp.f64 (+.f64 (fabs.f64 (-.f64 K n)) (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 K n) 2) M) 2)) l))))
(.f64 (cos.f64 (-.f64 (.f64 (+.f64 K n) (/.f64 m 2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 K n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 K n) 2) M) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 n (+.f64 m K)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m K) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m K))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 n (+.f64 K m)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 K m) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m K))))))
(.f64 (cos.f64 (-.f64 (.f64 (/.f64 (+.f64 K m) 2) n) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m K)) l) (pow.f64 (-.f64 (/.f64 (+.f64 K m) 2) M) 2))))
(.f64 (cos.f64 (-.f64 (.f64 (+.f64 K m) (/.f64 n 2)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 K m)) (+.f64 l (pow.f64 (-.f64 (/.f64 (+.f64 K m) 2) M) 2)))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 M (+.f64 m n)) 2) K)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) K) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(*.f64 (cos.f64 (-.f64 (/.f64 M (/.f64 2 (+.f64 m n))) K)) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) K) 2)) l) (fabs.f64 (-.f64 m n)))))
(.f64 (cos.f64 (-.f64 (.f64 (/.f64 M 2) (+.f64 m n)) K)) (exp.f64 (+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) K) 2)) l))))
(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 M 2)) K)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) K) 2))))
(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 M 2)) K)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) K) 2)))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 l (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 K (fabs.f64 (-.f64 m n))))))
(*.f64 (cos.f64 (-.f64 (/.f64 l (/.f64 2 (+.f64 m n))) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 K (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (.f64 (/.f64 l 2) (+.f64 m n)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 K (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 l 2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) K) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 l 2)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 K (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 n m))))))
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) l) (fabs.f64 (-.f64 m n)))))
(.f64 (cos.f64 (-.f64 (.f64 (/.f64 K 2) (+.f64 m n)) M)) (exp.f64 (+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) l))))
(*.f64 (cos.f64 (fma.f64 (/.f64 K 2) (+.f64 m n) (neg.f64 M))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(/.f64 (cos.f64 (fma.f64 (+.f64 m n) (/.f64 K 2) (neg.f64 M))) (exp.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 M n)) 2) m)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 M n) 2) m) 2)) (-.f64 l (fabs.f64 (-.f64 M n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n M)) 2) m)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n M) 2) m) 2)) (-.f64 l (fabs.f64 (-.f64 M n))))))
(.f64 (cos.f64 (-.f64 (.f64 (/.f64 K 2) (+.f64 n M)) m)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n M) 2) m) 2)) (-.f64 l (fabs.f64 (-.f64 M n))))))
(.f64 (cos.f64 (-.f64 (.f64 (+.f64 n M) (/.f64 K 2)) m)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 M n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n M) 2) m) 2))))
(.f64 (cos.f64 (-.f64 (.f64 (/.f64 (+.f64 n M) 2) K) m)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n M)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n M) 2) m) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 l n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 l n) 2) M) 2)) (-.f64 m (fabs.f64 (-.f64 l n))))))
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 n l))) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n l) 2) M) 2)) (-.f64 m (fabs.f64 (-.f64 n l))))))
(.f64 (cos.f64 (-.f64 (.f64 (+.f64 n l) (/.f64 K 2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 l n)) m) (pow.f64 (-.f64 (/.f64 (+.f64 n l) 2) M) 2))))
(.f64 (cos.f64 (-.f64 (.f64 (/.f64 (+.f64 n l) 2) K) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n l)) m) (pow.f64 (-.f64 (/.f64 (+.f64 n l) 2) M) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m M)) 2) n)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m M) 2) n) 2)) (-.f64 l (fabs.f64 (-.f64 m M))))))
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m M))) n)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m M) 2) n) 2)) (-.f64 l (fabs.f64 (-.f64 m M))))))
(.f64 (cos.f64 (-.f64 (.f64 (/.f64 K 2) (+.f64 m M)) n)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m M) 2) n) 2)) (-.f64 l (fabs.f64 (-.f64 m M))))))
(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m M) (/.f64 K 2)) n)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m M)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m M) 2) n) 2))))
(/.f64 (cos.f64 (-.f64 (*.f64 (/.f64 (+.f64 m M) 2) K) n)) (exp.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m M) 2) n) 2) (-.f64 l (fabs.f64 (-.f64 M m))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m l)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m l) 2) M) 2)) (-.f64 n (fabs.f64 (-.f64 m l))))))
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m l))) M)) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m l) 2) M) 2)) n) (fabs.f64 (-.f64 l m)))))
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m l))) M)) (exp.f64 (+.f64 (fabs.f64 (-.f64 l m)) (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m l) 2) M) 2)) n))))
(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m l) (/.f64 K 2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m l)) n) (pow.f64 (-.f64 (/.f64 (+.f64 m l) 2) M) 2))))
(.f64 (cos.f64 (-.f64 (.f64 (/.f64 (+.f64 m l) 2) K) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 l m)) n) (pow.f64 (-.f64 (/.f64 (+.f64 m l) 2) M) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) l)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) l) 2)) (-.f64 M (fabs.f64 (-.f64 m n))))))
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) l)) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) l) 2)) M) (fabs.f64 (-.f64 m n)))))
(.f64 (cos.f64 (-.f64 (.f64 (/.f64 K 2) (+.f64 m n)) l)) (exp.f64 (+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) l) 2)) M))))
(*.f64 (cos.f64 (fma.f64 (/.f64 K 2) (+.f64 m n) (neg.f64 l))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) M) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) l) 2))))
(*.f64 (cos.f64 (fma.f64 (+.f64 m n) (/.f64 K 2) (neg.f64 l))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 M (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) l) 2)))))

Symmetry

(sort m n)

Compiler

Compiled 34 to 23 computations (32.4% saved)

simplify41.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

598×	`exp-prod_binary64`
446×	`fma-neg_binary64`
368×	`associate-l_binary64`
321×	`exp-diff_binary64`
290×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	45
1	58	45
2	135	43
3	442	43
4	1753	43
5	7232	43

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))

Outputs
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) l))))
(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(*.f64 (cos.f64 (fma.f64 (+.f64 m n) (/.f64 K 2) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
(*.f64 (cos.f64 (fma.f64 K (/.f64 (+.f64 m n) 2) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

15.7b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	15.7b	(*.f64 (cos.f64 (fma.f64 K (/.f64 (+.f64 m n) 2) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))

Compiler

Compiled 128 to 83 computations (35.2% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))
✓	0.0b	(+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l)
✓	0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
✓	33.3b	(cos.f64 (fma.f64 K (/.f64 (+.f64 m n) 2) (neg.f64 M)))

series23.0ms (0.2%)

Counts

4 → 180

Calls

45 calls:

Time	Variable		Expression
2.0ms	K	@	(cos.f64 (fma.f64 K (/.f64 (+.f64 m n) 2) (neg.f64 M)))
1.0ms	m	@	(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))
1.0ms	m	@	(cos.f64 (fma.f64 K (/.f64 (+.f64 m n) 2) (neg.f64 M)))
1.0ms	M	@	(cos.f64 (fma.f64 K (/.f64 (+.f64 m n) 2) (neg.f64 M)))
1.0ms	n	@	(cos.f64 (fma.f64 K (/.f64 (+.f64 m n) 2) (neg.f64 M)))

rewrite94.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

462×	`fma-neg_binary64`
355×	`expm1-udef_binary64`
355×	`log1p-udef_binary64`
227×	`add-sqr-sqrt_binary64`
221×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	68
1	425	58
2	6393	58

Stop Event

1×	node limit

Counts

4 → 152

Calls

Call 1

Inputs
(cos.f64 (fma.f64 K (/.f64 (+.f64 m n) 2) (neg.f64 M)))
(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
(+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l)
(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (cos.f64 M)) (.f64 (sin.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (sin.f64 M)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M))) (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)) 2)) (cbrt.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M))) (sqrt.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (cos.f64 M) (neg.f64 (.f64 (sin.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (sin.f64 M))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 2) (fma.f64 M M (.f64 M M)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (+.f64 m n) 2) 1/4) (.f64 M M))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (+.f64 m n) 1/2) (fma.f64 (+.f64 m n) 1/2 M)) (.f64 M (fma.f64 (+.f64 m n) 1/2 M)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (fma.f64 (+.f64 m n) 1/2 M) (.f64 (+.f64 m n) 1/2)) (.f64 (fma.f64 (+.f64 m n) 1/2 M) M))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (pow.f64 (+.f64 m n) 2) 1/4) (.f64 M M))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (+.f64 m n) 1/2 M) (fma.f64 (+.f64 m n) 1/2 M))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 m n) 1/2 M)) 2) (cbrt.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 m n) 1/2 M)) 2) (.f64 (cbrt.f64 (fma.f64 (+.f64 m n) 1/2 M)) (fma.f64 (+.f64 m n) 1/2 M)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 4)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 m n) 1/2 M)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (+.f64 m n) 1/2 M)) (.f64 (sqrt.f64 (fma.f64 (+.f64 m n) 1/2 M)) (fma.f64 (+.f64 m n) 1/2 M)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 (+.f64 m n) 1/2 M) (sqrt.f64 (fma.f64 (+.f64 m n) 1/2 M))) (sqrt.f64 (fma.f64 (+.f64 m n) 1/2 M)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 (+.f64 m n) 1/2 M) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 m n) 1/2 M)) 2)) (cbrt.f64 (fma.f64 (+.f64 m n) 1/2 M)))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 m n) 2) 1/4 (.f64 M M))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) 1/2)) 2) (.f64 (cbrt.f64 (.f64 (+.f64 m n) 1/2)) (.f64 (+.f64 m n) 1/2)) (.f64 M M))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 (+.f64 m n) 1/2)) (.f64 (sqrt.f64 (.f64 (+.f64 m n) 1/2)) (.f64 (+.f64 m n) 1/2)) (.f64 M M))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) 1/2)) 2) (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) 1/2)) 2)) (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) 1/2)) 2) (.f64 M M))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 (+.f64 m n) 1/2) (sqrt.f64 (.f64 (+.f64 m n) 1/2))) (sqrt.f64 (.f64 (+.f64 m n) 1/2)) (.f64 M M))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 (+.f64 m n) 1/2) (+.f64 m n)) 1/2 (.f64 M M))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 (+.f64 m n) 1/2) (pow.f64 (cbrt.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 2) l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 4) (-.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 2) l)) (/.f64 (.f64 l l) (-.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 2) l)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 2) l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 2) l))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 2) l)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 2) l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 2) l)) 2) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 2) l)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 (fma.f64 (+.f64 m n) 1/2 M) 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((x exp.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 2) l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 2) l)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 2) l)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (+.f64 m n) 1/2 M) (fma.f64 (+.f64 m n) 1/2 M) l)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 2) l)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 l (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 l) 2) (cbrt.f64 l) (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 4)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 m n) 1/2 M)) 2) l)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 l) (sqrt.f64 l) (pow.f64 (fma.f64 (+.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 n m) (neg.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 2) l)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 n m) (.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 2) l)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 (-.f64 n m) l) (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 2)) (fma.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 2) l)) 1 (+.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 2) l)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 (-.f64 n m) l) (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 2)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 2) l))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 2) l)) 2) (+.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 2) l)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 (-.f64 n m) l) (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 2)) (+.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 2) 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(sqrt.f64 n) (sqrt.f64 m)) (-.f64 (sqrt.f64 n) (sqrt.f64 m)) (neg.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 2) l)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 (.f64 n n) (.f64 m m)) (+.f64 (pow.f64 n 3) (pow.f64 m 3))) (fma.f64 m m (.f64 n (-.f64 n m))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 2) l)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 (.f64 n n) (.f64 m m)) (-.f64 (.f64 m m) (.f64 n n))) (-.f64 m n) (neg.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 2) l)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (-.f64 (-.f64 n m) l) (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 2))))))))

simplify104.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

725×	`unsub-neg_binary64`
610×	`fma-neg_binary64`
480×	`sub-neg_binary64`
426×	`associate-+l+_binary64`
397×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	208	4014
1	661	3905
2	1969	3772
3	6180	3760

Stop Event

1×	node limit

Counts

332 → 285

Calls

Call 1

Inputs
(cos.f64 (neg.f64 M))
(+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 K (*.f64 (sin.f64 (neg.f64 M)) (+.f64 n m)))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))) (.f64 -1/2 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (+.f64 n m))))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (sin.f64 (neg.f64 M)) (pow.f64 (+.f64 n m) 3)))) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))) (.f64 -1/2 (.f64 K (*.f64 (sin.f64 (neg.f64 M)) (+.f64 n m)))))))
(cos.f64 (fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (*.f64 K m))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (pow.f64 m 2)))) (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (pow.f64 m 2)))) (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (+.f64 (.f64 1/48 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 (pow.f64 K 3) (pow.f64 m 3)))) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (*.f64 K m))))))
(cos.f64 (fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 K (.f64 1/2 (-.f64 n (.f64 -1 m))) (neg.f64 M)))
(cos.f64 (fma.f64 K (.f64 1/2 (-.f64 n (.f64 -1 m))) (neg.f64 M)))
(cos.f64 (fma.f64 K (.f64 1/2 (-.f64 n (.f64 -1 m))) (neg.f64 M)))
(cos.f64 (fma.f64 K (.f64 1/2 (-.f64 n (.f64 -1 m))) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (pow.f64 K 2)))) (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (pow.f64 K 2)))) (+.f64 (.f64 1/48 (.f64 (pow.f64 n 3) (.f64 (pow.f64 K 3) (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)))))
(cos.f64 (fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 K (.f64 1/2 (-.f64 m (.f64 -1 n))) (neg.f64 M)))
(cos.f64 (fma.f64 K (.f64 1/2 (-.f64 m (.f64 -1 n))) (neg.f64 M)))
(cos.f64 (fma.f64 K (.f64 1/2 (-.f64 m (.f64 -1 n))) (neg.f64 M)))
(cos.f64 (fma.f64 K (.f64 1/2 (-.f64 m (.f64 -1 n))) (neg.f64 M)))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M) (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M) (+.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))) (pow.f64 M 2)))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M) (+.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (+.f64 (.f64 -1/6 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (pow.f64 M 3))) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))) (pow.f64 M 2))))))
(cos.f64 (fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 K (.f64 1/2 (+.f64 n m)) (.f64 -1 M)))
(cos.f64 (fma.f64 K (.f64 1/2 (+.f64 n m)) (.f64 -1 M)))
(cos.f64 (fma.f64 K (.f64 1/2 (+.f64 n m)) (.f64 -1 M)))
(cos.f64 (fma.f64 K (.f64 1/2 (+.f64 n m)) (.f64 -1 M)))
(pow.f64 (-.f64 (*.f64 1/2 n) M) 2)
(+.f64 (.f64 (-.f64 (.f64 1/2 n) M) m) (pow.f64 (-.f64 (*.f64 1/2 n) M) 2))
(+.f64 (.f64 (-.f64 (.f64 1/2 n) M) m) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) (.f64 1/4 (pow.f64 m 2))))
(+.f64 (.f64 (-.f64 (.f64 1/2 n) M) m) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) (.f64 1/4 (pow.f64 m 2))))
(*.f64 1/4 (pow.f64 m 2))
(+.f64 (.f64 (-.f64 (.f64 1/2 n) M) m) (*.f64 1/4 (pow.f64 m 2)))
(+.f64 (.f64 (-.f64 (.f64 1/2 n) M) m) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) (.f64 1/4 (pow.f64 m 2))))
(+.f64 (.f64 (-.f64 (.f64 1/2 n) M) m) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) (.f64 1/4 (pow.f64 m 2))))
(*.f64 1/4 (pow.f64 m 2))
(+.f64 (.f64 (-.f64 (.f64 1/2 n) M) m) (*.f64 1/4 (pow.f64 m 2)))
(+.f64 (.f64 (-.f64 (.f64 1/2 n) M) m) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) (.f64 1/4 (pow.f64 m 2))))
(+.f64 (.f64 (-.f64 (.f64 1/2 n) M) m) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) (.f64 1/4 (pow.f64 m 2))))
(pow.f64 (-.f64 (*.f64 1/2 m) M) 2)
(+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) (.f64 n (-.f64 (*.f64 1/2 m) M)))
(+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) (+.f64 (.f64 n (-.f64 (.f64 1/2 m) M)) (.f64 1/4 (pow.f64 n 2))))
(+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) (+.f64 (.f64 n (-.f64 (.f64 1/2 m) M)) (.f64 1/4 (pow.f64 n 2))))
(*.f64 1/4 (pow.f64 n 2))
(+.f64 (.f64 n (-.f64 (.f64 1/2 m) M)) (*.f64 1/4 (pow.f64 n 2)))
(+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) (+.f64 (.f64 n (-.f64 (.f64 1/2 m) M)) (.f64 1/4 (pow.f64 n 2))))
(+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) (+.f64 (.f64 n (-.f64 (.f64 1/2 m) M)) (.f64 1/4 (pow.f64 n 2))))
(*.f64 1/4 (pow.f64 n 2))
(+.f64 (.f64 n (-.f64 (.f64 1/2 m) M)) (*.f64 1/4 (pow.f64 n 2)))
(+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) (+.f64 (.f64 n (-.f64 (.f64 1/2 m) M)) (.f64 1/4 (pow.f64 n 2))))
(+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) (+.f64 (.f64 n (-.f64 (.f64 1/2 m) M)) (.f64 1/4 (pow.f64 n 2))))
(*.f64 1/4 (pow.f64 (+.f64 n m) 2))
(+.f64 (.f64 -1 (.f64 (+.f64 n m) M)) (*.f64 1/4 (pow.f64 (+.f64 n m) 2)))
(+.f64 (.f64 -1 (.f64 (+.f64 n m) M)) (+.f64 (*.f64 1/4 (pow.f64 (+.f64 n m) 2)) (pow.f64 M 2)))
(+.f64 (.f64 -1 (.f64 (+.f64 n m) M)) (+.f64 (*.f64 1/4 (pow.f64 (+.f64 n m) 2)) (pow.f64 M 2)))
(pow.f64 M 2)
(+.f64 (.f64 -1 (.f64 (+.f64 n m) M)) (pow.f64 M 2))
(+.f64 (.f64 -1 (.f64 (+.f64 n m) M)) (+.f64 (*.f64 1/4 (pow.f64 (+.f64 n m) 2)) (pow.f64 M 2)))
(+.f64 (.f64 -1 (.f64 (+.f64 n m) M)) (+.f64 (*.f64 1/4 (pow.f64 (+.f64 n m) 2)) (pow.f64 M 2)))
(pow.f64 M 2)
(+.f64 (.f64 -1 (.f64 (+.f64 n m) M)) (pow.f64 M 2))
(+.f64 (.f64 -1 (.f64 (+.f64 n m) M)) (+.f64 (*.f64 1/4 (pow.f64 (+.f64 n m) 2)) (pow.f64 M 2)))
(+.f64 (.f64 -1 (.f64 (+.f64 n m) M)) (+.f64 (*.f64 1/4 (pow.f64 (+.f64 n m) 2)) (pow.f64 M 2)))
(+.f64 l (pow.f64 (-.f64 (*.f64 1/2 n) M) 2))
(+.f64 (.f64 (-.f64 (.f64 1/2 n) M) m) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 n) M) 2) l))
(+.f64 (.f64 (-.f64 (.f64 1/2 n) M) m) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) (+.f64 l (.f64 1/4 (pow.f64 m 2)))))
(+.f64 (.f64 (-.f64 (.f64 1/2 n) M) m) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) (+.f64 l (.f64 1/4 (pow.f64 m 2)))))
(*.f64 1/4 (pow.f64 m 2))
(+.f64 (.f64 (-.f64 (.f64 1/2 n) M) m) (*.f64 1/4 (pow.f64 m 2)))
(+.f64 (.f64 (-.f64 (.f64 1/2 n) M) m) (+.f64 l (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) (.f64 1/4 (pow.f64 m 2)))))
(+.f64 (.f64 (-.f64 (.f64 1/2 n) M) m) (+.f64 l (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) (.f64 1/4 (pow.f64 m 2)))))
(*.f64 1/4 (pow.f64 m 2))
(+.f64 (.f64 (-.f64 (.f64 1/2 n) M) m) (*.f64 1/4 (pow.f64 m 2)))
(+.f64 (.f64 (-.f64 (.f64 1/2 n) M) m) (+.f64 l (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) (.f64 1/4 (pow.f64 m 2)))))
(+.f64 (.f64 (-.f64 (.f64 1/2 n) M) m) (+.f64 l (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) (.f64 1/4 (pow.f64 m 2)))))
(+.f64 (pow.f64 (-.f64 (*.f64 1/2 m) M) 2) l)
(+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) (+.f64 l (.f64 n (-.f64 (*.f64 1/2 m) M))))
(+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) (+.f64 l (+.f64 (.f64 n (-.f64 (.f64 1/2 m) M)) (.f64 1/4 (pow.f64 n 2)))))
(+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) (+.f64 l (+.f64 (.f64 n (-.f64 (.f64 1/2 m) M)) (.f64 1/4 (pow.f64 n 2)))))
(*.f64 1/4 (pow.f64 n 2))
(+.f64 (.f64 n (-.f64 (.f64 1/2 m) M)) (*.f64 1/4 (pow.f64 n 2)))
(+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) (+.f64 l (+.f64 (.f64 n (-.f64 (.f64 1/2 m) M)) (.f64 1/4 (pow.f64 n 2)))))
(+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) (+.f64 l (+.f64 (.f64 n (-.f64 (.f64 1/2 m) M)) (.f64 1/4 (pow.f64 n 2)))))
(*.f64 1/4 (pow.f64 n 2))
(+.f64 (.f64 n (-.f64 (.f64 1/2 m) M)) (*.f64 1/4 (pow.f64 n 2)))
(+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) (+.f64 l (+.f64 (.f64 n (-.f64 (.f64 1/2 m) M)) (.f64 1/4 (pow.f64 n 2)))))
(+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) (+.f64 l (+.f64 (.f64 n (-.f64 (.f64 1/2 m) M)) (.f64 1/4 (pow.f64 n 2)))))
(+.f64 l (*.f64 1/4 (pow.f64 (+.f64 n m) 2)))
(+.f64 (.f64 -1 (.f64 (+.f64 n m) M)) (+.f64 (*.f64 1/4 (pow.f64 (+.f64 n m) 2)) l))
(+.f64 (.f64 -1 (.f64 (+.f64 n m) M)) (+.f64 (*.f64 1/4 (pow.f64 (+.f64 n m) 2)) (+.f64 l (pow.f64 M 2))))
(+.f64 (.f64 -1 (.f64 (+.f64 n m) M)) (+.f64 (*.f64 1/4 (pow.f64 (+.f64 n m) 2)) (+.f64 l (pow.f64 M 2))))
(pow.f64 M 2)
(+.f64 (.f64 -1 (.f64 (+.f64 n m) M)) (pow.f64 M 2))
(+.f64 (.f64 -1 (.f64 (+.f64 n m) M)) (+.f64 l (+.f64 (*.f64 1/4 (pow.f64 (+.f64 n m) 2)) (pow.f64 M 2))))
(+.f64 (.f64 -1 (.f64 (+.f64 n m) M)) (+.f64 l (+.f64 (*.f64 1/4 (pow.f64 (+.f64 n m) 2)) (pow.f64 M 2))))
(pow.f64 M 2)
(+.f64 (.f64 -1 (.f64 (+.f64 n m) M)) (pow.f64 M 2))
(+.f64 (.f64 -1 (.f64 (+.f64 n m) M)) (+.f64 l (+.f64 (*.f64 1/4 (pow.f64 (+.f64 n m) 2)) (pow.f64 M 2))))
(+.f64 (.f64 -1 (.f64 (+.f64 n m) M)) (+.f64 l (+.f64 (*.f64 1/4 (pow.f64 (+.f64 n m) 2)) (pow.f64 M 2))))
(pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)
(+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))
(+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))
(+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))
l
(+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))
(+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))
(+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))
l
(+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))
(+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))
(+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))
(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 m) M) 2) l))
(-.f64 (+.f64 (.f64 (-.f64 M (.f64 1/2 m)) n) (fabs.f64 (-.f64 n m))) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 m) M) 2) l))
(-.f64 (+.f64 (.f64 (-.f64 M (.f64 1/2 m)) n) (+.f64 (.f64 -1/4 (pow.f64 n 2)) (fabs.f64 (-.f64 n m)))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l))
(-.f64 (+.f64 (.f64 (-.f64 M (.f64 1/2 m)) n) (+.f64 (.f64 -1/4 (pow.f64 n 2)) (fabs.f64 (-.f64 n m)))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l))
(*.f64 -1/4 (pow.f64 n 2))
(+.f64 (.f64 (-.f64 M (.f64 1/2 m)) n) (*.f64 -1/4 (pow.f64 n 2)))
(-.f64 (+.f64 (.f64 (-.f64 M (.f64 1/2 m)) n) (+.f64 (.f64 -1/4 (pow.f64 n 2)) (fabs.f64 (-.f64 n m)))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l))
(-.f64 (+.f64 (.f64 (-.f64 M (.f64 1/2 m)) n) (+.f64 (.f64 -1/4 (pow.f64 n 2)) (fabs.f64 (-.f64 n m)))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l))
(*.f64 -1/4 (pow.f64 n 2))
(+.f64 (.f64 -1/4 (pow.f64 n 2)) (.f64 -1 (.f64 n (-.f64 (.f64 1/2 m) M))))
(-.f64 (+.f64 (fabs.f64 (neg.f64 (+.f64 (.f64 -1 n) m))) (+.f64 (.f64 -1/4 (pow.f64 n 2)) (.f64 -1 (.f64 n (-.f64 (.f64 1/2 m) M))))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l))
(-.f64 (+.f64 (fabs.f64 (neg.f64 (+.f64 (.f64 -1 n) m))) (+.f64 (.f64 -1/4 (pow.f64 n 2)) (.f64 -1 (.f64 n (-.f64 (.f64 1/2 m) M))))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l))
(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 n) M) 2)))
(-.f64 (+.f64 (.f64 (-.f64 M (.f64 1/2 n)) m) (fabs.f64 (-.f64 n m))) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 n) M) 2) l))
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 m 2)) (+.f64 (.f64 (-.f64 M (.f64 1/2 n)) m) (fabs.f64 (-.f64 n m)))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) l))
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 m 2)) (+.f64 (.f64 (-.f64 M (.f64 1/2 n)) m) (fabs.f64 (-.f64 n m)))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) l))
(*.f64 -1/4 (pow.f64 m 2))
(+.f64 (.f64 -1/4 (pow.f64 m 2)) (.f64 (-.f64 M (*.f64 1/2 n)) m))
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 m 2)) (+.f64 (.f64 (-.f64 M (.f64 1/2 n)) m) (fabs.f64 (-.f64 n m)))) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 m 2)) (+.f64 (.f64 (-.f64 M (.f64 1/2 n)) m) (fabs.f64 (-.f64 n m)))) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))
(*.f64 -1/4 (pow.f64 m 2))
(+.f64 (.f64 -1 (.f64 (-.f64 (.f64 1/2 n) M) m)) (.f64 -1/4 (pow.f64 m 2)))
(-.f64 (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 1/2 n) M) m)) (+.f64 (.f64 -1/4 (pow.f64 m 2)) (fabs.f64 (+.f64 n (.f64 -1 m))))) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))
(-.f64 (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 1/2 n) M) m)) (+.f64 (.f64 -1/4 (pow.f64 m 2)) (fabs.f64 (+.f64 n (.f64 -1 m))))) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))
(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 (+.f64 n m) 2))))
(-.f64 (+.f64 (.f64 (+.f64 n m) M) (fabs.f64 (-.f64 n m))) (+.f64 (.f64 1/4 (pow.f64 (+.f64 n m) 2)) l))
(-.f64 (+.f64 (.f64 -1 (pow.f64 M 2)) (+.f64 (.f64 (+.f64 n m) M) (fabs.f64 (-.f64 n m)))) (+.f64 (*.f64 1/4 (pow.f64 (+.f64 n m) 2)) l))
(-.f64 (+.f64 (.f64 -1 (pow.f64 M 2)) (+.f64 (.f64 (+.f64 n m) M) (fabs.f64 (-.f64 n m)))) (+.f64 (*.f64 1/4 (pow.f64 (+.f64 n m) 2)) l))
(*.f64 -1 (pow.f64 M 2))
(+.f64 (.f64 -1 (pow.f64 M 2)) (.f64 (+.f64 n m) M))
(-.f64 (+.f64 (.f64 -1 (pow.f64 M 2)) (+.f64 (.f64 (+.f64 n m) M) (fabs.f64 (-.f64 n m)))) (+.f64 (*.f64 1/4 (pow.f64 (+.f64 n m) 2)) l))
(-.f64 (+.f64 (.f64 -1 (pow.f64 M 2)) (+.f64 (.f64 (+.f64 n m) M) (fabs.f64 (-.f64 n m)))) (+.f64 (*.f64 1/4 (pow.f64 (+.f64 n m) 2)) l))
(*.f64 -1 (pow.f64 M 2))
(+.f64 (.f64 -1 (pow.f64 M 2)) (.f64 (+.f64 n m) M))
(-.f64 (+.f64 (.f64 -1 (pow.f64 M 2)) (+.f64 (.f64 (+.f64 n m) M) (fabs.f64 (-.f64 n m)))) (+.f64 (*.f64 1/4 (pow.f64 (+.f64 n m) 2)) l))
(-.f64 (+.f64 (.f64 -1 (pow.f64 M 2)) (+.f64 (.f64 (+.f64 n m) M) (fabs.f64 (-.f64 n m)))) (+.f64 (*.f64 1/4 (pow.f64 (+.f64 n m) 2)) l))
(-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))
(*.f64 -1 l)
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))
(*.f64 -1 l)
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))

Outputs
(cos.f64 (neg.f64 M))
(cos.f64 M)
(+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 K (*.f64 (sin.f64 (neg.f64 M)) (+.f64 n m)))))
(+.f64 (cos.f64 M) (.f64 -1/2 (.f64 K (*.f64 (sin.f64 (neg.f64 M)) (+.f64 n m)))))
(fma.f64 (.f64 -1/2 K) (neg.f64 (.f64 (+.f64 n m) (sin.f64 M))) (cos.f64 M))
(fma.f64 (.f64 -1/2 K) (.f64 (sin.f64 M) (-.f64 (neg.f64 m) n)) (cos.f64 M))
(-.f64 (cos.f64 M) (.f64 (.f64 -1/2 K) (*.f64 (+.f64 n m) (sin.f64 M))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))) (.f64 -1/2 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (+.f64 n m))))))
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(cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M))
(cos.f64 (fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 K (*.f64 (+.f64 n m) 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M))
(cos.f64 (fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 K (*.f64 (+.f64 n m) 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M))
(cos.f64 (fma.f64 K (.f64 1/2 (+.f64 n m)) (.f64 -1 M)))
(cos.f64 (fma.f64 K (*.f64 (+.f64 n m) 1/2) (neg.f64 M)))
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(cos.f64 (fma.f64 K (.f64 1/2 (+.f64 n m)) (.f64 -1 M)))
(cos.f64 (fma.f64 K (*.f64 (+.f64 n m) 1/2) (neg.f64 M)))
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(cos.f64 (fma.f64 K (.f64 1/2 (+.f64 n m)) (.f64 -1 M)))
(cos.f64 (fma.f64 K (*.f64 (+.f64 n m) 1/2) (neg.f64 M)))
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(cos.f64 (fma.f64 K (.f64 1/2 (+.f64 n m)) (.f64 -1 M)))
(cos.f64 (fma.f64 K (*.f64 (+.f64 n m) 1/2) (neg.f64 M)))
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(pow.f64 (-.f64 (*.f64 n 1/2) M) 2)
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(fma.f64 (-.f64 (.f64 n 1/2) M) m (pow.f64 (-.f64 (.f64 n 1/2) M) 2))
(.f64 (-.f64 (.f64 n 1/2) M) (+.f64 m (-.f64 (*.f64 n 1/2) M)))
(.f64 (-.f64 (.f64 n 1/2) M) (-.f64 (+.f64 m (*.f64 n 1/2)) M))
(.f64 (-.f64 (.f64 n 1/2) M) (+.f64 (-.f64 m M) (*.f64 n 1/2)))
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(*.f64 1/4 (pow.f64 m 2))
(.f64 (.f64 m m) 1/4)
(.f64 m (.f64 m 1/4))
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(fma.f64 (-.f64 (.f64 n 1/2) M) m (.f64 (*.f64 m m) 1/4))
(fma.f64 m (-.f64 (.f64 n 1/2) M) (.f64 m (*.f64 m 1/4)))
(.f64 m (+.f64 (-.f64 (.f64 n 1/2) M) (*.f64 m 1/4)))
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(*.f64 1/4 (pow.f64 m 2))
(.f64 (.f64 m m) 1/4)
(.f64 m (.f64 m 1/4))
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(fma.f64 m (-.f64 (.f64 n 1/2) M) (.f64 m (*.f64 m 1/4)))
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(.f64 (-.f64 (.f64 m 1/2) M) (+.f64 n (-.f64 (*.f64 m 1/2) M)))
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(.f64 (.f64 n n) 1/4)
(.f64 n (.f64 n 1/4))
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(*.f64 1/4 (pow.f64 n 2))
(.f64 (.f64 n n) 1/4)
(.f64 n (.f64 n 1/4))
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(fma.f64 n (-.f64 (.f64 m 1/2) M) (.f64 n (*.f64 n 1/4)))
(.f64 n (+.f64 (-.f64 (.f64 m 1/2) M) (*.f64 n 1/4)))
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(*.f64 1/4 (pow.f64 (+.f64 n m) 2))
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(-.f64 (.f64 (pow.f64 (+.f64 n m) 2) 1/4) (.f64 M (+.f64 n m)))
(.f64 (+.f64 n m) (-.f64 (.f64 (+.f64 n m) 1/4) M))
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(-.f64 (fma.f64 M M (.f64 (pow.f64 (+.f64 n m) 2) 1/4)) (.f64 M (+.f64 n m)))
(-.f64 (.f64 (pow.f64 (+.f64 n m) 2) 1/4) (.f64 M (-.f64 (+.f64 n m) M)))
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(-.f64 (fma.f64 M M (.f64 (pow.f64 (+.f64 n m) 2) 1/4)) (.f64 M (+.f64 n m)))
(-.f64 (.f64 (pow.f64 (+.f64 n m) 2) 1/4) (.f64 M (-.f64 (+.f64 n m) M)))
(pow.f64 M 2)
(*.f64 M M)
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(-.f64 (fma.f64 M M (.f64 (pow.f64 (+.f64 n m) 2) 1/4)) (.f64 M (+.f64 n m)))
(-.f64 (.f64 (pow.f64 (+.f64 n m) 2) 1/4) (.f64 M (-.f64 (+.f64 n m) M)))
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(-.f64 (fma.f64 M M (.f64 (pow.f64 (+.f64 n m) 2) 1/4)) (.f64 M (+.f64 n m)))
(-.f64 (.f64 (pow.f64 (+.f64 n m) 2) 1/4) (.f64 M (-.f64 (+.f64 n m) M)))
(pow.f64 M 2)
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(*.f64 1/4 (pow.f64 m 2))
(.f64 (.f64 m m) 1/4)
(.f64 m (.f64 m 1/4))
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(fma.f64 m (-.f64 (.f64 n 1/2) M) (.f64 m (*.f64 m 1/4)))
(.f64 m (+.f64 (-.f64 (.f64 n 1/2) M) (*.f64 m 1/4)))
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(.f64 n (-.f64 (.f64 n -1/4) (-.f64 (*.f64 m 1/2) M)))
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(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (*.f64 n 1/2) M) 2) l))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 n 1/2) M) 2) l))
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(fma.f64 m (+.f64 M (.f64 -1/2 n)) (.f64 m (*.f64 m -1/4)))
(.f64 m (+.f64 (.f64 m -1/4) (+.f64 M (*.f64 -1/2 n))))
(.f64 m (fma.f64 m -1/4 (+.f64 M (.f64 -1/2 n))))
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(.f64 m (+.f64 (.f64 m -1/4) (+.f64 M (*.f64 -1/2 n))))
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(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 (+.f64 n m) 2))))
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 1/4 (pow.f64 (+.f64 n m) 2) l))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (pow.f64 (+.f64 n m) 2) 1/4 l))
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(-.f64 (fma.f64 (+.f64 n m) M (fabs.f64 (-.f64 n m))) (fma.f64 1/4 (pow.f64 (+.f64 n m) 2) l))
(-.f64 (fma.f64 M (+.f64 n m) (fabs.f64 (-.f64 m n))) (fma.f64 (pow.f64 (+.f64 n m) 2) 1/4 l))
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(-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))
(-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (fma.f64 1/2 (+.f64 n m) (neg.f64 M)) 2))
(-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 (+.f64 n m) 1/2) M) 2))
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(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 (+.f64 n m) 1/2) M) 2))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 (+.f64 n m) 1/2) M) 2)))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))
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(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 (+.f64 n m) 1/2) M) 2)))
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(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 (+.f64 n m) 1/2) M) 2)))
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(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 (+.f64 n m) 1/2) M) 2)))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))
(-.f64 (fma.f64 -1 l (fabs.f64 (-.f64 n m))) (pow.f64 (fma.f64 1/2 (+.f64 n m) (neg.f64 M)) 2))
(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 (+.f64 n m) 1/2) M) 2))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 (+.f64 n m) 1/2) M) 2)))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))
(-.f64 (fma.f64 -1 l (fabs.f64 (-.f64 n m))) (pow.f64 (fma.f64 1/2 (+.f64 n m) (neg.f64 M)) 2))
(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 (+.f64 n m) 1/2) M) 2))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 (+.f64 n m) 1/2) M) 2)))
(*.f64 -1 l)
(neg.f64 l)
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))
(-.f64 (fma.f64 -1 l (fabs.f64 (-.f64 n m))) (pow.f64 (fma.f64 1/2 (+.f64 n m) (neg.f64 M)) 2))
(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 (+.f64 n m) 1/2) M) 2))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 (+.f64 n m) 1/2) M) 2)))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))
(-.f64 (fma.f64 -1 l (fabs.f64 (-.f64 n m))) (pow.f64 (fma.f64 1/2 (+.f64 n m) (neg.f64 M)) 2))
(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 (+.f64 n m) 1/2) M) 2))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 (+.f64 n m) 1/2) M) 2)))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))
(-.f64 (fma.f64 -1 l (fabs.f64 (-.f64 n m))) (pow.f64 (fma.f64 1/2 (+.f64 n m) (neg.f64 M)) 2))
(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 (+.f64 n m) 1/2) M) 2))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 (+.f64 n m) 1/2) M) 2)))

prune1.7s (15.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	279	6	285
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	280	6	286

Error

2.0b

Counts

286 → 6

Alt Table

Status	Error	Program
	15.7b	(.f64 (fma.f64 M (sin.f64 (.f64 (+.f64 n m) (.f64 K 1/2))) (cos.f64 (.f64 (+.f64 n m) (*.f64 K 1/2)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	29.7b	(.f64 (-.f64 (.f64 (+.f64 (.f64 (.f64 m m) (.f64 K (.f64 K -1/8))) 1) (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))) (.f64 (.f64 K (sin.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))) (*.f64 m 1/2))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
▶	2.1b	(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	9.5b	(.f64 (cos.f64 (-.f64 (.f64 K (*.f64 n 1/2)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	15.7b	(.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)))) 1) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	15.5b	(.f64 (+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))

Compiler

Compiled 10639 to 5374 computations (49.5% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	0.0b	(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))
	0.0b	(+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l)
	0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)

series12.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	M	@	0	(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
1.0ms	n	@	0	(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
1.0ms	m	@	0	(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
1.0ms	n	@	inf	(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
1.0ms	l	@	0	(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))

rewrite76.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

459×	`fma-neg_binary64`
351×	`expm1-udef_binary64`
351×	`log1p-udef_binary64`
213×	`add-sqr-sqrt_binary64`
209×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	31
1	400	29
2	5994	29

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

Inputs
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 n m) (+.f64 (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2) l)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (exp.f64 (-.f64 n m)) (cos.f64 M)) (exp.f64 (+.f64 (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2) l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 M) (exp.f64 (-.f64 n m))) (exp.f64 (+.f64 (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2) l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 n m) (+.f64 (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2) l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 n m) (+.f64 (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2) l)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 n m) (+.f64 (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2) l))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 n m) (+.f64 (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2) l))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 n m) (+.f64 (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2) l)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 M)) (exp.f64 (-.f64 (-.f64 n m) (+.f64 (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 n m) (+.f64 (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2) l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 n m) (+.f64 (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2) l)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (cos.f64 M) 3) (pow.f64 (exp.f64 (-.f64 (-.f64 n m) (+.f64 (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2) l))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (exp.f64 (-.f64 (-.f64 n m) (+.f64 (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2) l))) 3) (pow.f64 (cos.f64 M) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (-.f64 (-.f64 n m) (+.f64 (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2) l)) (log.f64 (cos.f64 M))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (+.f64 (-.f64 (-.f64 n m) (+.f64 (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2) l)) (log.f64 (cos.f64 M))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 n m) (+.f64 (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 n m) (+.f64 (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2) l))))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 n m) (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 n m) 1/2) M) 2) l)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 (-.f64 n m)) (cos.f64 M)) (exp.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 n m) 1/2) M) 2) l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 M) (exp.f64 (-.f64 n m))) (exp.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 n m) 1/2) M) 2) l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 n m) (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 n m) 1/2) M) 2) l)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 n m) (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 n m) 1/2) M) 2) l)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 n m) (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 n m) 1/2) M) 2) l))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 n m) (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 n m) 1/2) M) 2) l))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 n m) (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 n m) 1/2) M) 2) l)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 M)) (exp.f64 (-.f64 (-.f64 n m) (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 n m) 1/2) M) 2) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 n m) (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 n m) 1/2) M) 2) l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 n m) (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 n m) 1/2) M) 2) l)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 M) 3) (pow.f64 (exp.f64 (-.f64 (-.f64 n m) (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 n m) 1/2) M) 2) l))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 (-.f64 n m) (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 n m) 1/2) M) 2) l))) 3) (pow.f64 (cos.f64 M) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (-.f64 (-.f64 n m) (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 n m) 1/2) M) 2) l)) (log.f64 (cos.f64 M))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (-.f64 (-.f64 n m) (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 n m) 1/2) M) 2) l)) (log.f64 (cos.f64 M))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 n m) (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 n m) 1/2) M) 2) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 n m) (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 n m) 1/2) M) 2) l))))))))))

simplify85.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

886×	`fma-def_binary64`
391×	`*-commutative_binary64`
368×	`distribute-rgt-in_binary64`
352×	`distribute-lft-in_binary64`
308×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	164	2460
1	537	2107
2	1689	1942
3	7365	1938

Stop Event

1×	node limit

Counts

65 → 55

Calls

Call 1

Inputs
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 (+.f64 n m) 2)))))
(+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2))))) (.f64 (+.f64 n m) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2))))))
(+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2))))) (.f64 (+.f64 n m) M)) (+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2))))) (.f64 (+.f64 (.f64 -1/2 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2))))) (-.f64 (.f64 1/2 (pow.f64 (+.f64 n m) 2)) 1))) (pow.f64 M 2))))
(+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2))))) (.f64 (+.f64 n m) M)) (+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2))))) (+.f64 (.f64 (+.f64 (.f64 -1/2 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2))))) (-.f64 (.f64 1/2 (pow.f64 (+.f64 n m) 2)) 1))) (pow.f64 M 2)) (.f64 (+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2))))) (+.f64 (.f64 1/6 (pow.f64 (+.f64 n m) 3)) (.f64 -1 (+.f64 n m)))) (.f64 -1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2))))) (+.f64 n m)))) (pow.f64 M 3)))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (+.f64 (.f64 1/2 (+.f64 n m)) (*.f64 -1 M)) 2) l))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (+.f64 (.f64 1/2 (+.f64 n m)) (*.f64 -1 M)) 2) l))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (+.f64 (.f64 1/2 (+.f64 n m)) (*.f64 -1 M)) 2) l))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (+.f64 (.f64 1/2 (+.f64 n m)) (*.f64 -1 M)) 2) l))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l))) (cos.f64 M))
(+.f64 (.f64 (-.f64 M (.f64 1/2 m)) (.f64 n (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l))) (cos.f64 M)))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 m) M) 2) l))) (cos.f64 M)))
(+.f64 (.f64 (-.f64 M (.f64 1/2 m)) (.f64 n (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l))) (cos.f64 M)))) (+.f64 (.f64 (pow.f64 n 2) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l))) (.f64 (-.f64 (.f64 1/2 (pow.f64 (-.f64 M (.f64 1/2 m)) 2)) 1/4) (cos.f64 M)))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 m) M) 2) l))) (cos.f64 M))))
(+.f64 (.f64 (pow.f64 n 3) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l))) (.f64 (+.f64 (.f64 -1/4 (-.f64 M (.f64 1/2 m))) (.f64 1/6 (pow.f64 (-.f64 M (.f64 1/2 m)) 3))) (cos.f64 M)))) (+.f64 (.f64 (-.f64 M (.f64 1/2 m)) (.f64 n (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l))) (cos.f64 M)))) (+.f64 (.f64 (pow.f64 n 2) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l))) (.f64 (-.f64 (.f64 1/2 (pow.f64 (-.f64 M (.f64 1/2 m)) 2)) 1/4) (cos.f64 M)))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 m) M) 2) l))) (cos.f64 M)))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 (.f64 -1 n) m))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (-.f64 m (.f64 -1 n))) M) 2) l))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 (.f64 -1 n) m))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (-.f64 m (.f64 -1 n))) M) 2) l))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 (.f64 -1 n) m))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (-.f64 m (.f64 -1 n))) M) 2) l))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 (.f64 -1 n) m))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (-.f64 m (.f64 -1 n))) M) 2) l))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))) (cos.f64 M))
(+.f64 (.f64 (-.f64 M (.f64 1/2 n)) (.f64 m (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))) (cos.f64 M)))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 n) M) 2)))) (cos.f64 M)))
(+.f64 (.f64 (-.f64 M (.f64 1/2 n)) (.f64 m (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))) (cos.f64 M)))) (+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))) (cos.f64 M)) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))) (.f64 (-.f64 (.f64 1/2 (pow.f64 (-.f64 M (.f64 1/2 n)) 2)) 1/4) (*.f64 (pow.f64 m 2) (cos.f64 M))))))
(+.f64 (.f64 (+.f64 (.f64 -1/4 (-.f64 M (.f64 1/2 n))) (.f64 1/6 (pow.f64 (-.f64 M (.f64 1/2 n)) 3))) (.f64 (pow.f64 m 3) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))) (cos.f64 M)))) (+.f64 (.f64 (-.f64 M (.f64 1/2 n)) (.f64 m (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))) (cos.f64 M)))) (+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))) (cos.f64 M)) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))) (.f64 (-.f64 (.f64 1/2 (pow.f64 (-.f64 M (.f64 1/2 n)) 2)) 1/4) (*.f64 (pow.f64 m 2) (cos.f64 M)))))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (+.f64 n (.f64 -1 m))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (-.f64 n (.f64 -1 m))) M) 2) l))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (+.f64 n (.f64 -1 m))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (-.f64 n (.f64 -1 m))) M) 2) l))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (+.f64 n (.f64 -1 m))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (-.f64 n (.f64 -1 m))) M) 2) l))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (+.f64 n (.f64 -1 m))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (-.f64 n (.f64 -1 m))) M) 2) l))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (cos.f64 M))
(+.f64 (.f64 -1 (.f64 l (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (cos.f64 M)))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (cos.f64 M)))
(+.f64 (.f64 -1 (.f64 l (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (cos.f64 M)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 l 2) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (cos.f64 M)))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (cos.f64 M))))
(+.f64 (.f64 -1 (.f64 l (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (cos.f64 M)))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 l 3) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (cos.f64 M)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 l 2) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (cos.f64 M)))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (cos.f64 M)))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))) (cos.f64 M))

Outputs
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 1/4 (pow.f64 (+.f64 n m) 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 (+.f64 n m) 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 1/4 (pow.f64 (+.f64 n m) 2) l)))
(+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2))))) (.f64 (+.f64 n m) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2))))))
(fma.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2))))) (.f64 (+.f64 n m) M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 (+.f64 n m) 2))))))
(.f64 (+.f64 (.f64 (+.f64 n m) M) 1) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 1/4 (pow.f64 (+.f64 n m) 2) l))))
(*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 1/4 (pow.f64 (+.f64 n m) 2) l))) (fma.f64 (+.f64 n m) M 1))
(+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2))))) (.f64 (+.f64 n m) M)) (+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2))))) (.f64 (+.f64 (.f64 -1/2 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2))))) (-.f64 (.f64 1/2 (pow.f64 (+.f64 n m) 2)) 1))) (pow.f64 M 2))))
(+.f64 (fma.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2))))) (.f64 (+.f64 n m) M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2)))))) (.f64 (fma.f64 -1/2 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2))))) (fma.f64 1/2 (pow.f64 (+.f64 n m) 2) -1))) (.f64 M M)))
(+.f64 (.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 1/4 (pow.f64 (+.f64 n m) 2) l))) (+.f64 -1/2 (fma.f64 (pow.f64 (+.f64 n m) 2) 1/2 -1))) (.f64 M M)) (.f64 (+.f64 (*.f64 (+.f64 n m) M) 1) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 1/4 (pow.f64 (+.f64 n m) 2) l)))))
(fma.f64 M (.f64 M (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 1/4 (pow.f64 (+.f64 n m) 2) l))) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) 1/2) -3/2))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 1/4 (pow.f64 (+.f64 n m) 2) l))) (fma.f64 (+.f64 n m) M 1)))
(fma.f64 M (.f64 M (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 1/4 (pow.f64 (+.f64 n m) 2) l))) (fma.f64 (pow.f64 (+.f64 n m) 2) 1/2 -3/2))) (*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 1/4 (pow.f64 (+.f64 n m) 2) l))) (fma.f64 (+.f64 n m) M 1)))
(+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2))))) (.f64 (+.f64 n m) M)) (+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2))))) (+.f64 (.f64 (+.f64 (.f64 -1/2 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2))))) (-.f64 (.f64 1/2 (pow.f64 (+.f64 n m) 2)) 1))) (pow.f64 M 2)) (.f64 (+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2))))) (+.f64 (.f64 1/6 (pow.f64 (+.f64 n m) 3)) (.f64 -1 (+.f64 n m)))) (.f64 -1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2))))) (+.f64 n m)))) (pow.f64 M 3)))))
(+.f64 (fma.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2))))) (.f64 (+.f64 n m) M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2)))))) (fma.f64 (fma.f64 -1/2 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2))))) (fma.f64 1/2 (pow.f64 (+.f64 n m) 2) -1))) (.f64 M M) (.f64 (fma.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2))))) (fma.f64 1/6 (pow.f64 (+.f64 n m) 3) (neg.f64 (+.f64 n m))) (.f64 -1/2 (.f64 (+.f64 n m) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2)))))))) (pow.f64 M 3))))
(+.f64 (fma.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 1/4 (pow.f64 (+.f64 n m) 2) l))) (+.f64 -1/2 (fma.f64 (pow.f64 (+.f64 n m) 2) 1/2 -1))) (.f64 M M) (.f64 (fma.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 1/4 (pow.f64 (+.f64 n m) 2) l))) (fma.f64 1/6 (pow.f64 (+.f64 n m) 3) (-.f64 (neg.f64 n) m)) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 1/4 (pow.f64 (+.f64 n m) 2) l))) (.f64 -1/2 (+.f64 n m)))) (pow.f64 M 3))) (.f64 (+.f64 (*.f64 (+.f64 n m) M) 1) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 1/4 (pow.f64 (+.f64 n m) 2) l)))))
(fma.f64 (fma.f64 (+.f64 n m) M 1) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 1/4 (pow.f64 (+.f64 n m) 2) l))) (.f64 (.f64 M M) (+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 1/4 (pow.f64 (+.f64 n m) 2) l))) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) 1/2) -3/2)) (.f64 M (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 1/4 (pow.f64 (+.f64 n m) 2) l))) (+.f64 (-.f64 (fma.f64 1/6 (pow.f64 (+.f64 n m) 3) (neg.f64 n)) m) (*.f64 (+.f64 n m) -1/2)))))))
(fma.f64 (fma.f64 (+.f64 n m) M 1) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 1/4 (pow.f64 (+.f64 n m) 2) l))) (.f64 (.f64 M M) (+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 1/4 (pow.f64 (+.f64 n m) 2) l))) (fma.f64 (pow.f64 (+.f64 n m) 2) 1/2 -3/2)) (.f64 M (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 1/4 (pow.f64 (+.f64 n m) 2) l))) (+.f64 (-.f64 (fma.f64 1/6 (pow.f64 (+.f64 n m) 3) (neg.f64 n)) m) (.f64 (+.f64 n m) -1/2)))))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2))) (cos.f64 M))
(*.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (fma.f64 (+.f64 n m) 1/2 (neg.f64 M)) 2)) l)) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2))) (cos.f64 M))
(*.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (fma.f64 (+.f64 n m) 1/2 (neg.f64 M)) 2)) l)) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2))) (cos.f64 M))
(*.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (fma.f64 (+.f64 n m) 1/2 (neg.f64 M)) 2)) l)) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2))) (cos.f64 M))
(*.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (fma.f64 (+.f64 n m) 1/2 (neg.f64 M)) 2)) l)) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (+.f64 (.f64 1/2 (+.f64 n m)) (*.f64 -1 M)) 2) l))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2))) (cos.f64 M))
(*.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (fma.f64 (+.f64 n m) 1/2 (neg.f64 M)) 2)) l)) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (+.f64 (.f64 1/2 (+.f64 n m)) (*.f64 -1 M)) 2) l))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2))) (cos.f64 M))
(*.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (fma.f64 (+.f64 n m) 1/2 (neg.f64 M)) 2)) l)) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (+.f64 (.f64 1/2 (+.f64 n m)) (*.f64 -1 M)) 2) l))) (cos.f64 M))
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(+.f64 (.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (fma.f64 n 1/2 (neg.f64 M)) 2))) (.f64 (+.f64 (.f64 (fma.f64 1/2 (pow.f64 (+.f64 M (.f64 n -1/2)) 2) -1/4) (.f64 m m)) 1) (cos.f64 M))) (.f64 (.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (fma.f64 n 1/2 (neg.f64 M)) 2)))) (+.f64 (.f64 (fma.f64 1/6 (pow.f64 (+.f64 M (.f64 n -1/2)) 3) (.f64 -1/4 (+.f64 M (.f64 n -1/2)))) (pow.f64 m 3)) (.f64 m (+.f64 M (*.f64 n -1/2))))))
(fma.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 n 1/2) M) 2))) (.f64 (cos.f64 M) (fma.f64 (fma.f64 1/2 (pow.f64 (fma.f64 n -1/2 M) 2) -1/4) (.f64 m m) 1)) (.f64 (.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 n 1/2) M) 2)))) (fma.f64 (fma.f64 1/6 (pow.f64 (fma.f64 n -1/2 M) 3) (.f64 -1/4 (fma.f64 n -1/2 M))) (pow.f64 m 3) (.f64 m (fma.f64 n -1/2 M)))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2))) (cos.f64 M))
(*.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (fma.f64 (+.f64 n m) 1/2 (neg.f64 M)) 2)) l)) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2))) (cos.f64 M))
(*.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (fma.f64 (+.f64 n m) 1/2 (neg.f64 M)) 2)) l)) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2))) (cos.f64 M))
(*.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (fma.f64 (+.f64 n m) 1/2 (neg.f64 M)) 2)) l)) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2))) (cos.f64 M))
(*.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (fma.f64 (+.f64 n m) 1/2 (neg.f64 M)) 2)) l)) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (+.f64 n (.f64 -1 m))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (-.f64 n (.f64 -1 m))) M) 2) l))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2))) (cos.f64 M))
(*.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (fma.f64 (+.f64 n m) 1/2 (neg.f64 M)) 2)) l)) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (+.f64 n (.f64 -1 m))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (-.f64 n (.f64 -1 m))) M) 2) l))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2))) (cos.f64 M))
(*.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (fma.f64 (+.f64 n m) 1/2 (neg.f64 M)) 2)) l)) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (+.f64 n (.f64 -1 m))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (-.f64 n (.f64 -1 m))) M) 2) l))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2))) (cos.f64 M))
(*.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (fma.f64 (+.f64 n m) 1/2 (neg.f64 M)) 2)) l)) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (+.f64 n (.f64 -1 m))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (-.f64 n (.f64 -1 m))) M) 2) l))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2))) (cos.f64 M))
(*.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (fma.f64 (+.f64 n m) 1/2 (neg.f64 M)) 2)) l)) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (cos.f64 M))
(.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2))))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (fma.f64 (+.f64 n m) 1/2 (neg.f64 M)) 2))))
(+.f64 (.f64 -1 (.f64 l (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (cos.f64 M)))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (cos.f64 M)))
(fma.f64 -1 (.f64 l (.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2))))) (.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 (+.f64 n m) 1/2) M) 2)))))
(.f64 (+.f64 (neg.f64 l) 1) (.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 (+.f64 n m) 1/2) M) 2)))))
(.f64 (.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (fma.f64 (+.f64 n m) 1/2 (neg.f64 M)) 2)))) (fma.f64 l -1 1))
(+.f64 (.f64 -1 (.f64 l (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (cos.f64 M)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 l 2) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (cos.f64 M)))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (cos.f64 M))))
(fma.f64 -1 (.f64 l (.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2))))) (fma.f64 1/2 (.f64 (.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2)))) (.f64 l l)) (.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 (+.f64 n m) 1/2) M) 2))))))
(+.f64 (.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2)))) (.f64 (.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2)))) (+.f64 (neg.f64 l) (.f64 1/2 (*.f64 l l)))))
(.f64 (.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (fma.f64 (+.f64 n m) 1/2 (neg.f64 M)) 2)))) (-.f64 (fma.f64 1/2 (*.f64 l l) 1) l))
(+.f64 (.f64 -1 (.f64 l (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (cos.f64 M)))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 l 3) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (cos.f64 M)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 l 2) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (cos.f64 M)))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (cos.f64 M)))))
(fma.f64 -1 (.f64 l (.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2))))) (fma.f64 -1/6 (.f64 (.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2)))) (pow.f64 l 3)) (fma.f64 1/2 (.f64 (.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2)))) (.f64 l l)) (.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2)))))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 l l)) 1) (.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2))))) (.f64 (.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2)))) (+.f64 (neg.f64 l) (*.f64 -1/6 (pow.f64 l 3)))))
(fma.f64 (.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (fma.f64 (+.f64 n m) 1/2 (neg.f64 M)) 2)))) (.f64 (.f64 l l) (+.f64 (.f64 l -1/6) 1/2)) (.f64 (.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (fma.f64 (+.f64 n m) 1/2 (neg.f64 M)) 2)))) (fma.f64 l -1 1)))
(+.f64 (.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (fma.f64 (+.f64 n m) 1/2 (neg.f64 M)) 2)))) (.f64 (.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (fma.f64 (+.f64 n m) 1/2 (neg.f64 M)) 2)))) (+.f64 (neg.f64 l) (.f64 (.f64 l l) (+.f64 (.f64 l -1/6) 1/2)))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2))) (cos.f64 M))
(*.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (fma.f64 (+.f64 n m) 1/2 (neg.f64 M)) 2)) l)) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2))) (cos.f64 M))
(*.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (fma.f64 (+.f64 n m) 1/2 (neg.f64 M)) 2)) l)) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2))) (cos.f64 M))
(*.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (fma.f64 (+.f64 n m) 1/2 (neg.f64 M)) 2)) l)) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2))) (cos.f64 M))
(*.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (fma.f64 (+.f64 n m) 1/2 (neg.f64 M)) 2)) l)) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2))) (cos.f64 M))
(*.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (fma.f64 (+.f64 n m) 1/2 (neg.f64 M)) 2)) l)) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2))) (cos.f64 M))
(*.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (fma.f64 (+.f64 n m) 1/2 (neg.f64 M)) 2)) l)) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2))) (cos.f64 M))
(*.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (fma.f64 (+.f64 n m) 1/2 (neg.f64 M)) 2)) l)) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 n m))) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2))) (cos.f64 M))
(*.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (fma.f64 (+.f64 n m) 1/2 (neg.f64 M)) 2)) l)) (cos.f64 M))

prune2.0s (18.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	282	1	283
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	282	7	289

Error

2.0b

Counts

289 → 7

Alt Table

Status	Error	Program
	15.7b	(.f64 (fma.f64 M (sin.f64 (.f64 (+.f64 n m) (.f64 K 1/2))) (cos.f64 (.f64 (+.f64 n m) (*.f64 K 1/2)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	29.7b	(.f64 (-.f64 (.f64 (+.f64 (.f64 (.f64 m m) (.f64 K (.f64 K -1/8))) 1) (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))) (.f64 (.f64 K (sin.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))) (*.f64 m 1/2))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
✓	2.1b	(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
▶	9.5b	(.f64 (cos.f64 (-.f64 (.f64 K (*.f64 n 1/2)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	15.7b	(.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)))) 1) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	15.5b	(.f64 (+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	28.0b	(.f64 (cos.f64 M) (exp.f64 (.f64 n (fma.f64 n -1/4 (+.f64 M (*.f64 -1/2 m))))))

Compiler

Compiled 8736 to 4448 computations (49.1% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l)
✓	0.0b	(-.f64 (.f64 K (.f64 n 1/2)) M)
	0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
✓	25.2b	(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))

series12.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	K	@	inf	(-.f64 (.f64 K (.f64 n 1/2)) M)
2.0ms	n	@	0	(-.f64 (.f64 K (.f64 n 1/2)) M)
1.0ms	K	@	0	(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
1.0ms	M	@	0	(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
1.0ms	n	@	0	(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))

rewrite68.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

834×	`prod-diff_binary64`
502×	`log-prod_binary64`
315×	`pow-prod-down_binary64`
300×	`fma-def_binary64`
275×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	199	22
2	2647	22

Stop Event

1×	node limit

Counts

2 → 170

Calls

Call 1

Inputs
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(-.f64 (.f64 K (.f64 n 1/2)) M)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 1/2 (*.f64 K n))) (cos.f64 M)) (*.f64 (sin.f64 (*.f64 1/2 (*.f64 K n))) (sin.f64 M)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 1/2 (*.f64 K n))) (sin.f64 M)) (*.f64 (cos.f64 (*.f64 1/2 (*.f64 K n))) (cos.f64 M)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K n)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 (*.f64 1/2 (*.f64 K n))) (cos.f64 M)) 1) (*.f64 (*.f64 (sin.f64 (*.f64 1/2 (*.f64 K n))) (sin.f64 M)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cos.f64 (*.f64 1/2 (*.f64 K n))) (cos.f64 M) (neg.f64 (*.f64 (neg.f64 (sin.f64 M)) (sin.f64 (*.f64 1/2 (*.f64 K n)))))) (fma.f64 (neg.f64 (neg.f64 (sin.f64 M))) (sin.f64 (*.f64 1/2 (*.f64 K n))) (*.f64 (neg.f64 (sin.f64 M)) (sin.f64 (*.f64 1/2 (*.f64 K n))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 (-.f64 (*.f64 1/2 (*.f64 K n)) M)))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 (-.f64 (*.f64 1/2 (*.f64 K n)) M)))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (/.f64 (*.f64 (pow.f64 (*.f64 K n) 3) 1/8) (fma.f64 M (fma.f64 K (*.f64 n 1/2) M) (*.f64 (pow.f64 (*.f64 K n) 2) 1/4)))) (cos.f64 (/.f64 (pow.f64 M 3) (fma.f64 M (fma.f64 K (*.f64 n 1/2) M) (*.f64 (pow.f64 (*.f64 K n) 2) 1/4))))) (*.f64 (sin.f64 (/.f64 (*.f64 (pow.f64 (*.f64 K n) 3) 1/8) (fma.f64 M (fma.f64 K (*.f64 n 1/2) M) (*.f64 (pow.f64 (*.f64 K n) 2) 1/4)))) (sin.f64 (/.f64 (pow.f64 M 3) (fma.f64 M (fma.f64 K (*.f64 n 1/2) M) (*.f64 (pow.f64 (*.f64 K n) 2) 1/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (/.f64 (*.f64 (pow.f64 (*.f64 K n) 2) 1/4) (fma.f64 K (*.f64 n 1/2) M))) (cos.f64 (/.f64 (*.f64 M M) (fma.f64 K (*.f64 n 1/2) M)))) (*.f64 (sin.f64 (/.f64 (*.f64 (pow.f64 (*.f64 K n) 2) 1/4) (fma.f64 K (*.f64 n 1/2) M))) (sin.f64 (/.f64 (*.f64 M M) (fma.f64 K (*.f64 n 1/2) M)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K n)) M)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K n)) M))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K n)) M))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K n)) M))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 1/2 (*.f64 K n))) (cos.f64 M)) (*.f64 (sin.f64 (*.f64 1/2 (*.f64 K n))) (neg.f64 (sin.f64 M))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 1/2 (*.f64 K n))) (cos.f64 M)) (*.f64 (neg.f64 (sin.f64 M)) (sin.f64 (*.f64 1/2 (*.f64 K n)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K n)) M)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 1/2 (*.f64 K n))) (cos.f64 (*.f64 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1/2 (*.f64 K n)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K n)) M))) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K n)) M))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K n)) M))) 2) (cbrt.f64 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K n)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K n)) M))) (sqrt.f64 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K n)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (*.f64 K n))) (cos.f64 M)) 3) (pow.f64 (*.f64 (sin.f64 (*.f64 1/2 (*.f64 K n))) (sin.f64 M)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (*.f64 K n))) (cos.f64 M)) 2) (-.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 1/2 (*.f64 K n))) (sin.f64 M)) 2) (*.f64 (*.f64 (cos.f64 (*.f64 1/2 (*.f64 K n))) (cos.f64 M)) (*.f64 (sin.f64 (*.f64 1/2 (*.f64 K n))) (sin.f64 M))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 1/2 (*.f64 K n))) (cos.f64 M)) 2) (pow.f64 (*.f64 (sin.f64 (*.f64 1/2 (*.f64 K n))) (sin.f64 M)) 2)) (cos.f64 (fma.f64 K (*.f64 n 1/2) M)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K n)) M)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K n)) M)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K n)) M)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K n)) M))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K n)) M))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K n)) M)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K n)) M))))))) (#(struct:change #<rule egg-rr> 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(*.f64 1/2 (*.f64 K n))) (cos.f64 M)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (*.f64 1/2 (*.f64 K n))) (cos.f64 M) (*.f64 (sin.f64 (*.f64 1/2 (*.f64 K n))) (sin.f64 M)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (*.f64 1/2 (*.f64 K n))) (cos.f64 M) (neg.f64 (*.f64 (sin.f64 (*.f64 1/2 (*.f64 K n))) (neg.f64 (sin.f64 M)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 M) (cos.f64 (*.f64 1/2 (*.f64 K n))) (*.f64 (sin.f64 (*.f64 1/2 (*.f64 K n))) (sin.f64 M)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 (*.f64 1/2 (*.f64 K n))) (cos.f64 M)) 1 (*.f64 (*.f64 (sin.f64 (*.f64 1/2 (*.f64 K n))) (sin.f64 M)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 (*.f64 1/2 (*.f64 K n))) (sin.f64 M) (*.f64 (cos.f64 (*.f64 1/2 (*.f64 K n))) (cos.f64 M)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 M) (sin.f64 (*.f64 1/2 (*.f64 K n))) (*.f64 (cos.f64 (*.f64 1/2 (*.f64 K n))) (cos.f64 M)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 (*.f64 K n))) (sin.f64 M))) 2) (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 (*.f64 K n))) (sin.f64 M))) (*.f64 (cos.f64 (*.f64 1/2 (*.f64 K n))) (cos.f64 M)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (*.f64 K n))) (cos.f64 M))) 2) (cbrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (*.f64 K n))) (cos.f64 M))) (*.f64 (sin.f64 (*.f64 1/2 (*.f64 K n))) (sin.f64 M)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 1/2 (*.f64 K n))) (sin.f64 M))) (sqrt.f64 (*.f64 (sin.f64 (*.f64 1/2 (*.f64 K n))) (sin.f64 M))) (*.f64 (cos.f64 (*.f64 1/2 (*.f64 K n))) (cos.f64 M)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (*.f64 K n))) (cos.f64 M))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 1/2 (*.f64 K n))) (cos.f64 M))) (*.f64 (sin.f64 (*.f64 1/2 (*.f64 K n))) (sin.f64 M)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K n)) M))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 K n)) (neg.f64 M))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 K n)) (*.f64 (neg.f64 M) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 1/2 (*.f64 K n)) M) (fma.f64 (neg.f64 M) 1 M))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 1/2 (*.f64 K n)) M) (fma.f64 (neg.f64 (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) 2) M))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 1/2 (*.f64 K n)) M) (+.f64 (neg.f64 M) M))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 1/2 (*.f64 K n)) M) (fma.f64 -1 M M))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 1/2 (*.f64 K n)) M) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 M) 2)) (cbrt.f64 M) M))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 M) (*.f64 1/2 (*.f64 K n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 1/2 (*.f64 K n)) M))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify56.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

726×	`distribute-lft-neg-out_binary64`
680×	`distribute-rgt-neg-out_binary64`
588×	`unswap-sqr_binary64`
470×	`neg-sub0_binary64`
466×	`neg-mul-1_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	965
1	176	955
2	514	926
3	2129	908
4	4038	908

Stop Event

1×	node limit

Counts

242 → 197

Calls

Call 1

Inputs
(cos.f64 (neg.f64 M))
(+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 n (*.f64 K (sin.f64 (neg.f64 M))))))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 n 2) (pow.f64 K 2)))) (+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M)))))))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 n 2) (pow.f64 K 2)))) (+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M))))) (.f64 1/48 (.f64 (pow.f64 n 3) (*.f64 (pow.f64 K 3) (sin.f64 (neg.f64 M))))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (neg.f64 M))
(+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 n (*.f64 K (sin.f64 (neg.f64 M))))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M))))) (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (cos.f64 (neg.f64 M)) (pow.f64 K 2))))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (cos.f64 (neg.f64 M)) (pow.f64 K 2)))) (.f64 1/48 (.f64 (pow.f64 n 3) (*.f64 (pow.f64 K 3) (sin.f64 (neg.f64 M))))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (.f64 1/2 (.f64 n K)))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) M) (cos.f64 (.f64 1/2 (*.f64 n K))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (pow.f64 M 2))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) M) (cos.f64 (.f64 1/2 (*.f64 n K)))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (pow.f64 M 2))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) M) (+.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 -1/6 (.f64 (sin.f64 (.f64 1/2 (*.f64 n K))) (pow.f64 M 3))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M)))
(cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M)))
(cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M)))
(cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M)))
(*.f64 -1 M)
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(.f64 1/2 (.f64 n K))
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(.f64 1/2 (.f64 n K))
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(*.f64 -1 M)
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(.f64 1/2 (.f64 n K))
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(.f64 1/2 (.f64 n K))
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(.f64 1/2 (.f64 n K))
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(*.f64 -1 M)
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(*.f64 -1 M)
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))

Outputs
(cos.f64 (neg.f64 M))
(cos.f64 M)
(+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 n (*.f64 K (sin.f64 (neg.f64 M))))))
(+.f64 (cos.f64 M) (.f64 -1/2 (.f64 n (*.f64 K (neg.f64 (sin.f64 M))))))
(fma.f64 -1/2 (.f64 (neg.f64 (sin.f64 M)) (.f64 n K)) (cos.f64 M))
(fma.f64 -1/2 (.f64 K (.f64 n (neg.f64 (sin.f64 M)))) (cos.f64 M))
(fma.f64 n (.f64 K (.f64 (sin.f64 M) 1/2)) (cos.f64 M))
(fma.f64 (.f64 n K) (.f64 (sin.f64 M) 1/2) (cos.f64 M))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 n 2) (pow.f64 K 2)))) (+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M)))))))
(fma.f64 -1/8 (.f64 (cos.f64 M) (.f64 (.f64 n n) (.f64 K K))) (+.f64 (cos.f64 M) (.f64 -1/2 (.f64 n (*.f64 K (neg.f64 (sin.f64 M)))))))
(fma.f64 -1/8 (.f64 (cos.f64 M) (.f64 (.f64 n n) (.f64 K K))) (fma.f64 -1/2 (.f64 (neg.f64 (sin.f64 M)) (.f64 n K)) (cos.f64 M)))
(fma.f64 (cos.f64 M) (.f64 K (.f64 (.f64 n (.f64 n K)) -1/8)) (fma.f64 -1/2 (.f64 K (.f64 n (neg.f64 (sin.f64 M)))) (cos.f64 M)))
(+.f64 (cos.f64 M) (.f64 (.f64 n K) (+.f64 (.f64 (.f64 (cos.f64 M) -1/8) (.f64 n K)) (.f64 (sin.f64 M) 1/2))))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 n 2) (pow.f64 K 2)))) (+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M))))) (.f64 1/48 (.f64 (pow.f64 n 3) (*.f64 (pow.f64 K 3) (sin.f64 (neg.f64 M))))))))
(fma.f64 -1/8 (.f64 (cos.f64 M) (.f64 (.f64 n n) (.f64 K K))) (+.f64 (cos.f64 M) (fma.f64 -1/2 (.f64 n (.f64 K (neg.f64 (sin.f64 M)))) (.f64 1/48 (.f64 (pow.f64 n 3) (*.f64 (neg.f64 (sin.f64 M)) (pow.f64 K 3)))))))
(+.f64 (fma.f64 -1/2 (.f64 (neg.f64 (sin.f64 M)) (.f64 n K)) (cos.f64 M)) (fma.f64 -1/8 (.f64 (cos.f64 M) (.f64 (.f64 n n) (.f64 K K))) (.f64 (pow.f64 n 3) (.f64 (*.f64 (neg.f64 (sin.f64 M)) (pow.f64 K 3)) 1/48))))
(+.f64 (cos.f64 M) (fma.f64 (cos.f64 M) (.f64 K (.f64 (.f64 n (.f64 n K)) -1/8)) (.f64 (neg.f64 (sin.f64 M)) (+.f64 (.f64 K (.f64 -1/2 n)) (.f64 (pow.f64 n 3) (*.f64 1/48 (pow.f64 K 3)))))))
(+.f64 (.f64 (.f64 n K) (+.f64 (.f64 (.f64 (cos.f64 M) -1/8) (.f64 n K)) (.f64 (sin.f64 M) 1/2))) (fma.f64 (.f64 (pow.f64 n 3) (pow.f64 K 3)) (.f64 (sin.f64 M) -1/48) (cos.f64 M)))
(+.f64 (cos.f64 M) (fma.f64 (pow.f64 n 3) (.f64 (pow.f64 K 3) (.f64 (sin.f64 M) -1/48)) (.f64 (.f64 n K) (+.f64 (.f64 (.f64 (cos.f64 M) -1/8) (.f64 n K)) (.f64 (sin.f64 M) 1/2)))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (fma.f64 1/2 (*.f64 n K) (neg.f64 M)))
(cos.f64 (fma.f64 n (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (fma.f64 1/2 (*.f64 n K) (neg.f64 M)))
(cos.f64 (fma.f64 n (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (fma.f64 1/2 (*.f64 n K) (neg.f64 M)))
(cos.f64 (fma.f64 n (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (fma.f64 1/2 (*.f64 n K) (neg.f64 M)))
(cos.f64 (fma.f64 n (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (fma.f64 1/2 (*.f64 n K) (neg.f64 M)))
(cos.f64 (fma.f64 n (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (fma.f64 1/2 (*.f64 n K) (neg.f64 M)))
(cos.f64 (fma.f64 n (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (fma.f64 1/2 (*.f64 n K) (neg.f64 M)))
(cos.f64 (fma.f64 n (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (fma.f64 1/2 (*.f64 n K) (neg.f64 M)))
(cos.f64 (fma.f64 n (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (neg.f64 M))
(cos.f64 M)
(+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 n (*.f64 K (sin.f64 (neg.f64 M))))))
(+.f64 (cos.f64 M) (.f64 -1/2 (.f64 n (*.f64 K (neg.f64 (sin.f64 M))))))
(fma.f64 -1/2 (.f64 (neg.f64 (sin.f64 M)) (.f64 n K)) (cos.f64 M))
(fma.f64 -1/2 (.f64 K (.f64 n (neg.f64 (sin.f64 M)))) (cos.f64 M))
(fma.f64 n (.f64 K (.f64 (sin.f64 M) 1/2)) (cos.f64 M))
(fma.f64 (.f64 n K) (.f64 (sin.f64 M) 1/2) (cos.f64 M))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M))))) (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (cos.f64 (neg.f64 M)) (pow.f64 K 2))))))
(fma.f64 -1/8 (.f64 (cos.f64 M) (.f64 (.f64 n n) (.f64 K K))) (+.f64 (cos.f64 M) (.f64 -1/2 (.f64 n (*.f64 K (neg.f64 (sin.f64 M)))))))
(fma.f64 -1/8 (.f64 (cos.f64 M) (.f64 (.f64 n n) (.f64 K K))) (fma.f64 -1/2 (.f64 (neg.f64 (sin.f64 M)) (.f64 n K)) (cos.f64 M)))
(fma.f64 (cos.f64 M) (.f64 K (.f64 (.f64 n (.f64 n K)) -1/8)) (fma.f64 -1/2 (.f64 K (.f64 n (neg.f64 (sin.f64 M)))) (cos.f64 M)))
(+.f64 (cos.f64 M) (.f64 (.f64 n K) (+.f64 (.f64 (.f64 (cos.f64 M) -1/8) (.f64 n K)) (.f64 (sin.f64 M) 1/2))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (cos.f64 (neg.f64 M)) (pow.f64 K 2)))) (.f64 1/48 (.f64 (pow.f64 n 3) (*.f64 (pow.f64 K 3) (sin.f64 (neg.f64 M))))))))
(fma.f64 -1/8 (.f64 (cos.f64 M) (.f64 (.f64 n n) (.f64 K K))) (+.f64 (cos.f64 M) (fma.f64 -1/2 (.f64 n (.f64 K (neg.f64 (sin.f64 M)))) (.f64 1/48 (.f64 (pow.f64 n 3) (*.f64 (neg.f64 (sin.f64 M)) (pow.f64 K 3)))))))
(+.f64 (fma.f64 -1/2 (.f64 (neg.f64 (sin.f64 M)) (.f64 n K)) (cos.f64 M)) (fma.f64 -1/8 (.f64 (cos.f64 M) (.f64 (.f64 n n) (.f64 K K))) (.f64 (pow.f64 n 3) (.f64 (*.f64 (neg.f64 (sin.f64 M)) (pow.f64 K 3)) 1/48))))
(+.f64 (cos.f64 M) (fma.f64 (cos.f64 M) (.f64 K (.f64 (.f64 n (.f64 n K)) -1/8)) (.f64 (neg.f64 (sin.f64 M)) (+.f64 (.f64 K (.f64 -1/2 n)) (.f64 (pow.f64 n 3) (*.f64 1/48 (pow.f64 K 3)))))))
(+.f64 (.f64 (.f64 n K) (+.f64 (.f64 (.f64 (cos.f64 M) -1/8) (.f64 n K)) (.f64 (sin.f64 M) 1/2))) (fma.f64 (.f64 (pow.f64 n 3) (pow.f64 K 3)) (.f64 (sin.f64 M) -1/48) (cos.f64 M)))
(+.f64 (cos.f64 M) (fma.f64 (pow.f64 n 3) (.f64 (pow.f64 K 3) (.f64 (sin.f64 M) -1/48)) (.f64 (.f64 n K) (+.f64 (.f64 (.f64 (cos.f64 M) -1/8) (.f64 n K)) (.f64 (sin.f64 M) 1/2)))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (fma.f64 1/2 (*.f64 n K) (neg.f64 M)))
(cos.f64 (fma.f64 n (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (fma.f64 1/2 (*.f64 n K) (neg.f64 M)))
(cos.f64 (fma.f64 n (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (fma.f64 1/2 (*.f64 n K) (neg.f64 M)))
(cos.f64 (fma.f64 n (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (fma.f64 1/2 (*.f64 n K) (neg.f64 M)))
(cos.f64 (fma.f64 n (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (fma.f64 1/2 (*.f64 n K) (neg.f64 M)))
(cos.f64 (fma.f64 n (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (fma.f64 1/2 (*.f64 n K) (neg.f64 M)))
(cos.f64 (fma.f64 n (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (fma.f64 1/2 (*.f64 n K) (neg.f64 M)))
(cos.f64 (fma.f64 n (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (fma.f64 1/2 (*.f64 n K) (neg.f64 M)))
(cos.f64 (fma.f64 n (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(cos.f64 (.f64 K (.f64 n 1/2)))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) M) (cos.f64 (.f64 1/2 (*.f64 n K))))
(fma.f64 (sin.f64 (.f64 1/2 (.f64 n K))) M (cos.f64 (.f64 1/2 (.f64 n K))))
(fma.f64 M (sin.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2))))
(fma.f64 M (sin.f64 (.f64 K (.f64 n 1/2))) (cos.f64 (.f64 K (.f64 n 1/2))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (pow.f64 M 2))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) M) (cos.f64 (.f64 1/2 (*.f64 n K)))))
(fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 M M)) (fma.f64 (sin.f64 (.f64 1/2 (.f64 n K))) M (cos.f64 (.f64 1/2 (.f64 n K)))))
(fma.f64 -1/2 (.f64 M (.f64 M (cos.f64 (.f64 n (.f64 K 1/2))))) (fma.f64 M (sin.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2)))))
(fma.f64 M (sin.f64 (.f64 n (.f64 K 1/2))) (.f64 (+.f64 (.f64 M (.f64 M -1/2)) 1) (cos.f64 (.f64 n (*.f64 K 1/2)))))
(fma.f64 M (sin.f64 (.f64 K (.f64 n 1/2))) (.f64 (+.f64 1 (.f64 M (.f64 M -1/2))) (cos.f64 (.f64 K (*.f64 n 1/2)))))
(fma.f64 M (sin.f64 (.f64 n (.f64 K 1/2))) (.f64 (+.f64 1 (.f64 M (.f64 M -1/2))) (cos.f64 (.f64 n (*.f64 K 1/2)))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (pow.f64 M 2))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) M) (+.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 -1/6 (.f64 (sin.f64 (.f64 1/2 (*.f64 n K))) (pow.f64 M 3))))))
(fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 M M)) (+.f64 (fma.f64 (sin.f64 (.f64 1/2 (.f64 n K))) M (cos.f64 (.f64 1/2 (.f64 n K)))) (.f64 -1/6 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (pow.f64 M 3)))))
(fma.f64 -1/2 (.f64 M (.f64 M (cos.f64 (.f64 n (.f64 K 1/2))))) (fma.f64 M (sin.f64 (.f64 n (.f64 K 1/2))) (fma.f64 -1/6 (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (pow.f64 M 3)) (cos.f64 (.f64 n (*.f64 K 1/2))))))
(+.f64 (.f64 (+.f64 (.f64 M (.f64 M -1/2)) 1) (cos.f64 (.f64 n (.f64 K 1/2)))) (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (+.f64 (*.f64 -1/6 (pow.f64 M 3)) M)))
(+.f64 (.f64 (+.f64 1 (.f64 M (.f64 M -1/2))) (cos.f64 (.f64 K (.f64 n 1/2)))) (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (+.f64 M (*.f64 -1/6 (pow.f64 M 3)))))
(+.f64 (.f64 (+.f64 1 (.f64 M (.f64 M -1/2))) (cos.f64 (.f64 n (.f64 K 1/2)))) (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (+.f64 M (*.f64 -1/6 (pow.f64 M 3)))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (fma.f64 1/2 (*.f64 n K) (neg.f64 M)))
(cos.f64 (fma.f64 n (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (fma.f64 1/2 (*.f64 n K) (neg.f64 M)))
(cos.f64 (fma.f64 n (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (fma.f64 1/2 (*.f64 n K) (neg.f64 M)))
(cos.f64 (fma.f64 n (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (fma.f64 1/2 (*.f64 n K) (neg.f64 M)))
(cos.f64 (fma.f64 n (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (fma.f64 1/2 (*.f64 n K) (neg.f64 M)))
(cos.f64 (fma.f64 n (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (fma.f64 1/2 (*.f64 n K) (neg.f64 M)))
(cos.f64 (fma.f64 n (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (fma.f64 1/2 (*.f64 n K) (neg.f64 M)))
(cos.f64 (fma.f64 n (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (fma.f64 1/2 (*.f64 n K) (neg.f64 M)))
(cos.f64 (fma.f64 n (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(*.f64 -1 M)
(neg.f64 M)
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(-.f64 (.f64 1/2 (.f64 n K)) M)
(fma.f64 1/2 (*.f64 n K) (neg.f64 M))
(fma.f64 n (*.f64 K 1/2) (neg.f64 M))
(-.f64 (.f64 K (.f64 n 1/2)) M)
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(-.f64 (.f64 1/2 (.f64 n K)) M)
(fma.f64 1/2 (*.f64 n K) (neg.f64 M))
(fma.f64 n (*.f64 K 1/2) (neg.f64 M))
(-.f64 (.f64 K (.f64 n 1/2)) M)
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(-.f64 (.f64 1/2 (.f64 n K)) M)
(fma.f64 1/2 (*.f64 n K) (neg.f64 M))
(fma.f64 n (*.f64 K 1/2) (neg.f64 M))
(-.f64 (.f64 K (.f64 n 1/2)) M)
(.f64 1/2 (.f64 n K))
(.f64 n (.f64 K 1/2))
(.f64 K (.f64 n 1/2))
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(-.f64 (.f64 1/2 (.f64 n K)) M)
(fma.f64 1/2 (*.f64 n K) (neg.f64 M))
(fma.f64 n (*.f64 K 1/2) (neg.f64 M))
(-.f64 (.f64 K (.f64 n 1/2)) M)
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(-.f64 (.f64 1/2 (.f64 n K)) M)
(fma.f64 1/2 (*.f64 n K) (neg.f64 M))
(fma.f64 n (*.f64 K 1/2) (neg.f64 M))
(-.f64 (.f64 K (.f64 n 1/2)) M)
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(-.f64 (.f64 1/2 (.f64 n K)) M)
(fma.f64 1/2 (*.f64 n K) (neg.f64 M))
(fma.f64 n (*.f64 K 1/2) (neg.f64 M))
(-.f64 (.f64 K (.f64 n 1/2)) M)
(.f64 1/2 (.f64 n K))
(.f64 n (.f64 K 1/2))
(.f64 K (.f64 n 1/2))
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(-.f64 (.f64 1/2 (.f64 n K)) M)
(fma.f64 1/2 (*.f64 n K) (neg.f64 M))
(fma.f64 n (*.f64 K 1/2) (neg.f64 M))
(-.f64 (.f64 K (.f64 n 1/2)) M)
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(-.f64 (.f64 1/2 (.f64 n K)) M)
(fma.f64 1/2 (*.f64 n K) (neg.f64 M))
(fma.f64 n (*.f64 K 1/2) (neg.f64 M))
(-.f64 (.f64 K (.f64 n 1/2)) M)
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(-.f64 (.f64 1/2 (.f64 n K)) M)
(fma.f64 1/2 (*.f64 n K) (neg.f64 M))
(fma.f64 n (*.f64 K 1/2) (neg.f64 M))
(-.f64 (.f64 K (.f64 n 1/2)) M)
(*.f64 -1 M)
(neg.f64 M)
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(-.f64 (.f64 1/2 (.f64 n K)) M)
(fma.f64 1/2 (*.f64 n K) (neg.f64 M))
(fma.f64 n (*.f64 K 1/2) (neg.f64 M))
(-.f64 (.f64 K (.f64 n 1/2)) M)
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(-.f64 (.f64 1/2 (.f64 n K)) M)
(fma.f64 1/2 (*.f64 n K) (neg.f64 M))
(fma.f64 n (*.f64 K 1/2) (neg.f64 M))
(-.f64 (.f64 K (.f64 n 1/2)) M)
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(-.f64 (.f64 1/2 (.f64 n K)) M)
(fma.f64 1/2 (*.f64 n K) (neg.f64 M))
(fma.f64 n (*.f64 K 1/2) (neg.f64 M))
(-.f64 (.f64 K (.f64 n 1/2)) M)
(.f64 1/2 (.f64 n K))
(.f64 n (.f64 K 1/2))
(.f64 K (.f64 n 1/2))
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(-.f64 (.f64 1/2 (.f64 n K)) M)
(fma.f64 1/2 (*.f64 n K) (neg.f64 M))
(fma.f64 n (*.f64 K 1/2) (neg.f64 M))
(-.f64 (.f64 K (.f64 n 1/2)) M)
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(-.f64 (.f64 1/2 (.f64 n K)) M)
(fma.f64 1/2 (*.f64 n K) (neg.f64 M))
(fma.f64 n (*.f64 K 1/2) (neg.f64 M))
(-.f64 (.f64 K (.f64 n 1/2)) M)
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(-.f64 (.f64 1/2 (.f64 n K)) M)
(fma.f64 1/2 (*.f64 n K) (neg.f64 M))
(fma.f64 n (*.f64 K 1/2) (neg.f64 M))
(-.f64 (.f64 K (.f64 n 1/2)) M)
(.f64 1/2 (.f64 n K))
(.f64 n (.f64 K 1/2))
(.f64 K (.f64 n 1/2))
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(-.f64 (.f64 1/2 (.f64 n K)) M)
(fma.f64 1/2 (*.f64 n K) (neg.f64 M))
(fma.f64 n (*.f64 K 1/2) (neg.f64 M))
(-.f64 (.f64 K (.f64 n 1/2)) M)
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(-.f64 (.f64 1/2 (.f64 n K)) M)
(fma.f64 1/2 (*.f64 n K) (neg.f64 M))
(fma.f64 n (*.f64 K 1/2) (neg.f64 M))
(-.f64 (.f64 K (.f64 n 1/2)) M)
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(-.f64 (.f64 1/2 (.f64 n K)) M)
(fma.f64 1/2 (*.f64 n K) (neg.f64 M))
(fma.f64 n (*.f64 K 1/2) (neg.f64 M))
(-.f64 (.f64 K (.f64 n 1/2)) M)
(.f64 1/2 (.f64 n K))
(.f64 n (.f64 K 1/2))
(.f64 K (.f64 n 1/2))
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(-.f64 (.f64 1/2 (.f64 n K)) M)
(fma.f64 1/2 (*.f64 n K) (neg.f64 M))
(fma.f64 n (*.f64 K 1/2) (neg.f64 M))
(-.f64 (.f64 K (.f64 n 1/2)) M)
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(-.f64 (.f64 1/2 (.f64 n K)) M)
(fma.f64 1/2 (*.f64 n K) (neg.f64 M))
(fma.f64 n (*.f64 K 1/2) (neg.f64 M))
(-.f64 (.f64 K (.f64 n 1/2)) M)
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(-.f64 (.f64 1/2 (.f64 n K)) M)
(fma.f64 1/2 (*.f64 n K) (neg.f64 M))
(fma.f64 n (*.f64 K 1/2) (neg.f64 M))
(-.f64 (.f64 K (.f64 n 1/2)) M)
(*.f64 -1 M)
(neg.f64 M)
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(-.f64 (.f64 1/2 (.f64 n K)) M)
(fma.f64 1/2 (*.f64 n K) (neg.f64 M))
(fma.f64 n (*.f64 K 1/2) (neg.f64 M))
(-.f64 (.f64 K (.f64 n 1/2)) M)
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(-.f64 (.f64 1/2 (.f64 n K)) M)
(fma.f64 1/2 (*.f64 n K) (neg.f64 M))
(fma.f64 n (*.f64 K 1/2) (neg.f64 M))
(-.f64 (.f64 K (.f64 n 1/2)) M)
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(-.f64 (.f64 1/2 (.f64 n K)) M)
(fma.f64 1/2 (*.f64 n K) (neg.f64 M))
(fma.f64 n (*.f64 K 1/2) (neg.f64 M))
(-.f64 (.f64 K (.f64 n 1/2)) M)
(*.f64 -1 M)
(neg.f64 M)
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(-.f64 (.f64 1/2 (.f64 n K)) M)
(fma.f64 1/2 (*.f64 n K) (neg.f64 M))
(fma.f64 n (*.f64 K 1/2) (neg.f64 M))
(-.f64 (.f64 K (.f64 n 1/2)) M)
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(-.f64 (.f64 1/2 (.f64 n K)) M)
(fma.f64 1/2 (*.f64 n K) (neg.f64 M))
(fma.f64 n (*.f64 K 1/2) (neg.f64 M))
(-.f64 (.f64 K (.f64 n 1/2)) M)
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(-.f64 (.f64 1/2 (.f64 n K)) M)
(fma.f64 1/2 (*.f64 n K) (neg.f64 M))
(fma.f64 n (*.f64 K 1/2) (neg.f64 M))
(-.f64 (.f64 K (.f64 n 1/2)) M)

prune2.2s (20%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	326	3	329
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	328	8	336

Error

2.0b

Counts

336 → 8

Alt Table

Status	Error	Program
	15.7b	(.f64 (fma.f64 M (sin.f64 (.f64 (+.f64 n m) (.f64 K 1/2))) (cos.f64 (.f64 (+.f64 n m) (*.f64 K 1/2)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	29.7b	(.f64 (-.f64 (.f64 (+.f64 (.f64 (.f64 m m) (.f64 K (.f64 K -1/8))) 1) (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))) (.f64 (.f64 K (sin.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))) (*.f64 m 1/2))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
✓	2.1b	(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	50.9b	(.f64 (cos.f64 (pow.f64 (pow.f64 (-.f64 (.f64 1/2 (*.f64 K n)) M) 3) 1/3)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
▶	9.5b	(.f64 (cbrt.f64 (pow.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K n)) M)) 3)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	15.7b	(.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)))) 1) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	15.5b	(.f64 (+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	42.1b	(.f64 (cos.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 1/2 (*.f64 K n)) M) 3))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))

Compiler

Compiled 12041 to 6510 computations (45.9% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
✓	0.5b	(cbrt.f64 (pow.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K n)) M)) 3))
✓	0.6b	(pow.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K n)) M)) 3)
✓	25.2b	(cos.f64 (-.f64 (.f64 1/2 (.f64 K n)) M))

series19.0ms (0.2%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
3.0ms	K	@	0	(pow.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K n)) M)) 3)
2.0ms	M	@	0	(pow.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K n)) M)) 3)
2.0ms	n	@	0	(pow.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K n)) M)) 3)
1.0ms	M	@	-inf	(pow.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K n)) M)) 3)
1.0ms	K	@	-inf	(pow.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K n)) M)) 3)

rewrite94.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

821×	`prod-diff_binary64`
572×	`log-prod_binary64`
315×	`pow2_binary64`
305×	`fma-def_binary64`
218×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	266	39
2	3128	39

Stop Event

1×	node limit

Counts

3 → 130

Calls

Call 1

Inputs
(cos.f64 (-.f64 (.f64 1/2 (.f64 K n)) M))
(pow.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K n)) M)) 3)
(cbrt.f64 (pow.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K n)) M)) 3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 n (*.f64 1/2 K))) (cos.f64 M)) (*.f64 (sin.f64 (*.f64 n (*.f64 1/2 K))) (sin.f64 M)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 n (*.f64 1/2 K))) (sin.f64 M)) (*.f64 (cos.f64 (*.f64 n (*.f64 1/2 K))) (cos.f64 M)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (-.f64 (*.f64 n (*.f64 1/2 K)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 (*.f64 n (*.f64 1/2 K))) (cos.f64 M)) 1) (*.f64 (*.f64 (sin.f64 (*.f64 n (*.f64 1/2 K))) (sin.f64 M)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cos.f64 (*.f64 n (*.f64 1/2 K))) (cos.f64 M) (neg.f64 (*.f64 (neg.f64 (sin.f64 M)) (sin.f64 (*.f64 n (*.f64 1/2 K)))))) (fma.f64 (neg.f64 (neg.f64 (sin.f64 M))) (sin.f64 (*.f64 n (*.f64 1/2 K))) (*.f64 (neg.f64 (sin.f64 M)) (sin.f64 (*.f64 n (*.f64 1/2 K))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 (-.f64 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n (*.f64 1/2 K)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 1/2 K)) M))) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 1/2 K)) M))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 1/2 K)) M))) 2) (cbrt.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 1/2 K)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 1/2 K)) M))) (sqrt.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 1/2 K)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cos.f64 (-.f64 (*.f64 n (*.f64 1/2 K)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 n (*.f64 1/2 K))) (cos.f64 M)) 3) (pow.f64 (*.f64 (sin.f64 (*.f64 n (*.f64 1/2 K))) (sin.f64 M)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 n (*.f64 1/2 K))) (cos.f64 M)) 2) (-.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 n (*.f64 1/2 K))) (sin.f64 M)) 2) (*.f64 (*.f64 (cos.f64 (*.f64 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(2) ((x log.f64 (exp.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 1/2 K)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 1/2 K)) M)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (sin.f64 (*.f64 n (*.f64 1/2 K))) (sin.f64 M))) (exp.f64 (*.f64 (cos.f64 (*.f64 n (*.f64 1/2 K))) (cos.f64 M)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 1/2 K)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 1/2 K)) M))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 1/2 K)) M)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 1/2 K)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (cos.f64 (*.f64 n (*.f64 1/2 K))) (cos.f64 M)) (*.f64 (sin.f64 (*.f64 n (*.f64 1/2 K))) (sin.f64 M)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (sin.f64 (*.f64 n (*.f64 1/2 K))) (sin.f64 M)) (*.f64 (cos.f64 (*.f64 n (*.f64 1/2 K))) (cos.f64 M)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (*.f64 n (*.f64 1/2 K))) (cos.f64 M) (*.f64 (sin.f64 (*.f64 n (*.f64 1/2 K))) (sin.f64 M)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (*.f64 n (*.f64 1/2 K))) (cos.f64 M) (neg.f64 (*.f64 (sin.f64 (*.f64 n (*.f64 1/2 K))) (neg.f64 (sin.f64 M)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 M) (cos.f64 (*.f64 n (*.f64 1/2 K))) (*.f64 (sin.f64 (*.f64 n (*.f64 1/2 K))) (sin.f64 M)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 (*.f64 n (*.f64 1/2 K))) (cos.f64 M)) 1 (*.f64 (*.f64 (sin.f64 (*.f64 n (*.f64 1/2 K))) (sin.f64 M)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 (*.f64 n (*.f64 1/2 K))) (sin.f64 M) (*.f64 (cos.f64 (*.f64 n (*.f64 1/2 K))) (cos.f64 M)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 M) (sin.f64 (*.f64 n (*.f64 1/2 K))) (*.f64 (cos.f64 (*.f64 n (*.f64 1/2 K))) (cos.f64 M)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 n (*.f64 1/2 K))) (cos.f64 M))) 2) (cbrt.f64 (*.f64 (cos.f64 (*.f64 n (*.f64 1/2 K))) (cos.f64 M))) (*.f64 (sin.f64 (*.f64 n (*.f64 1/2 K))) (sin.f64 M)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 n (*.f64 1/2 K))) (sin.f64 M))) 2) (cbrt.f64 (*.f64 (sin.f64 (*.f64 n (*.f64 1/2 K))) (sin.f64 M))) (*.f64 (cos.f64 (*.f64 n (*.f64 1/2 K))) (cos.f64 M)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 n (*.f64 1/2 K))) (cos.f64 M))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 n (*.f64 1/2 K))) (cos.f64 M))) (*.f64 (sin.f64 (*.f64 n (*.f64 1/2 K))) (sin.f64 M)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 n (*.f64 1/2 K))) (sin.f64 M))) (sqrt.f64 (*.f64 (sin.f64 (*.f64 n (*.f64 1/2 K))) (sin.f64 M))) (*.f64 (cos.f64 (*.f64 n (*.f64 1/2 K))) (cos.f64 M)))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (-.f64 (*.f64 n (*.f64 1/2 K)) M))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 1/2 K)) M))))))))

simplify73.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

632×	`associate-+l+_binary64`
584×	`associate-+r+_binary64`
474×	`distribute-rgt-in_binary64`
471×	`distribute-lft-in_binary64`
350×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	197	3108
1	695	2963
2	2862	2683

Stop Event

1×	node limit

Counts

238 → 125

Calls

Call 1

Inputs
(cos.f64 (neg.f64 M))
(+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 n (*.f64 K (sin.f64 (neg.f64 M))))))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 n 2) (pow.f64 K 2)))) (+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M)))))))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 n 2) (pow.f64 K 2)))) (+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M))))) (.f64 1/48 (.f64 (pow.f64 n 3) (*.f64 (pow.f64 K 3) (sin.f64 (neg.f64 M))))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (neg.f64 M))
(+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 n (*.f64 K (sin.f64 (neg.f64 M))))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M))))) (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (cos.f64 (neg.f64 M)) (pow.f64 K 2))))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (cos.f64 (neg.f64 M)) (pow.f64 K 2)))) (.f64 1/48 (.f64 (pow.f64 n 3) (*.f64 (pow.f64 K 3) (sin.f64 (neg.f64 M))))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (.f64 1/2 (.f64 n K)))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) M) (cos.f64 (.f64 1/2 (*.f64 n K))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (pow.f64 M 2))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) M) (cos.f64 (.f64 1/2 (*.f64 n K)))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (pow.f64 M 2))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) M) (+.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 -1/6 (.f64 (sin.f64 (.f64 1/2 (*.f64 n K))) (pow.f64 M 3))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M)))
(cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M)))
(cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M)))
(cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M)))
(pow.f64 (cos.f64 (neg.f64 M)) 3)
(+.f64 (pow.f64 (cos.f64 (neg.f64 M)) 3) (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 n (.f64 (cos.f64 (neg.f64 M)) (sin.f64 (neg.f64 M))))) (.f64 -1/2 (.f64 (cos.f64 (neg.f64 M)) (.f64 n (sin.f64 (neg.f64 M))))))) (.f64 -1/2 (.f64 (pow.f64 (cos.f64 (neg.f64 M)) 2) (*.f64 n (sin.f64 (neg.f64 M)))))) K))
(+.f64 (pow.f64 (cos.f64 (neg.f64 M)) 3) (+.f64 (.f64 (pow.f64 K 2) (+.f64 (.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 (cos.f64 (neg.f64 M)) 2) (pow.f64 n 2))) (+.f64 (.f64 1/4 (.f64 (pow.f64 n 2) (pow.f64 (sin.f64 (neg.f64 M)) 2))) (.f64 -1/8 (.f64 (pow.f64 n 2) (pow.f64 (cos.f64 (neg.f64 M)) 2)))))) (+.f64 (.f64 -1/2 (.f64 n (.f64 (sin.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 n (.f64 (cos.f64 (neg.f64 M)) (sin.f64 (neg.f64 M))))) (.f64 -1/2 (.f64 (cos.f64 (neg.f64 M)) (.f64 n (sin.f64 (neg.f64 M))))))))) (.f64 -1/8 (.f64 (pow.f64 (cos.f64 (neg.f64 M)) 3) (pow.f64 n 2)))))) (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 n (.f64 (cos.f64 (neg.f64 M)) (sin.f64 (neg.f64 M))))) (.f64 -1/2 (.f64 (cos.f64 (neg.f64 M)) (.f64 n (sin.f64 (neg.f64 M))))))) (.f64 -1/2 (.f64 (pow.f64 (cos.f64 (neg.f64 M)) 2) (.f64 n (sin.f64 (neg.f64 M)))))) K)))
(+.f64 (pow.f64 (cos.f64 (neg.f64 M)) 3) (+.f64 (.f64 (pow.f64 K 3) (+.f64 (.f64 -1/2 (.f64 n (.f64 (sin.f64 (neg.f64 M)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 (cos.f64 (neg.f64 M)) 2) (pow.f64 n 2))) (+.f64 (.f64 1/4 (.f64 (pow.f64 n 2) (pow.f64 (sin.f64 (neg.f64 M)) 2))) (.f64 -1/8 (.f64 (pow.f64 n 2) (pow.f64 (cos.f64 (neg.f64 M)) 2)))))))) (+.f64 (.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 1/48 (.f64 (pow.f64 n 3) (.f64 (cos.f64 (neg.f64 M)) (sin.f64 (neg.f64 M))))) (+.f64 (.f64 1/8 (.f64 (pow.f64 n 3) (.f64 (cos.f64 (neg.f64 M)) (sin.f64 (neg.f64 M))))) (.f64 1/48 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 n 3) (sin.f64 (neg.f64 M)))))))) (+.f64 (.f64 1/48 (.f64 (pow.f64 (cos.f64 (neg.f64 M)) 2) (.f64 (pow.f64 n 3) (sin.f64 (neg.f64 M))))) (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 n 2) (+.f64 (.f64 -1/2 (.f64 n (.f64 (cos.f64 (neg.f64 M)) (sin.f64 (neg.f64 M))))) (.f64 -1/2 (.f64 (cos.f64 (neg.f64 M)) (.f64 n (sin.f64 (neg.f64 M))))))))))))) (+.f64 (.f64 (pow.f64 K 2) (+.f64 (.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 (cos.f64 (neg.f64 M)) 2) (pow.f64 n 2))) (+.f64 (.f64 1/4 (.f64 (pow.f64 n 2) (pow.f64 (sin.f64 (neg.f64 M)) 2))) (.f64 -1/8 (.f64 (pow.f64 n 2) (pow.f64 (cos.f64 (neg.f64 M)) 2)))))) (+.f64 (.f64 -1/2 (.f64 n (.f64 (sin.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 n (.f64 (cos.f64 (neg.f64 M)) (sin.f64 (neg.f64 M))))) (.f64 -1/2 (.f64 (cos.f64 (neg.f64 M)) (.f64 n (sin.f64 (neg.f64 M))))))))) (.f64 -1/8 (.f64 (pow.f64 (cos.f64 (neg.f64 M)) 3) (pow.f64 n 2)))))) (.f64 (+.f64 (.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 n (.f64 (cos.f64 (neg.f64 M)) (sin.f64 (neg.f64 M))))) (.f64 -1/2 (.f64 (cos.f64 (neg.f64 M)) (.f64 n (sin.f64 (neg.f64 M))))))) (.f64 -1/2 (.f64 (pow.f64 (cos.f64 (neg.f64 M)) 2) (.f64 n (sin.f64 (neg.f64 M)))))) K))))
(pow.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) 3)
(pow.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) 3)
(pow.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) 3)
(pow.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) 3)
(pow.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) 3)
(pow.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) 3)
(pow.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) 3)
(pow.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) 3)
(pow.f64 (cos.f64 (neg.f64 M)) 3)
(+.f64 (pow.f64 (cos.f64 (neg.f64 M)) 3) (.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 (cos.f64 (neg.f64 M)) 2) (.f64 K (sin.f64 (neg.f64 M))))) (.f64 -1/2 (.f64 (pow.f64 (cos.f64 (neg.f64 M)) 2) (*.f64 K (sin.f64 (neg.f64 M)))))) n))
(+.f64 (pow.f64 (cos.f64 (neg.f64 M)) 3) (+.f64 (.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 (cos.f64 (neg.f64 M)) 2) (.f64 K (sin.f64 (neg.f64 M))))) (.f64 -1/2 (.f64 (pow.f64 (cos.f64 (neg.f64 M)) 2) (.f64 K (sin.f64 (neg.f64 M)))))) n) (.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (pow.f64 (sin.f64 (neg.f64 M)) 2)))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 (cos.f64 (neg.f64 M)) 3) (pow.f64 K 2))) (.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 K 2) (pow.f64 (sin.f64 (neg.f64 M)) 2))) (.f64 -1/4 (.f64 (pow.f64 (cos.f64 (neg.f64 M)) 2) (pow.f64 K 2)))) (cos.f64 (neg.f64 M))))) (pow.f64 n 2))))
(+.f64 (.f64 (pow.f64 n 3) (+.f64 (.f64 1/8 (.f64 (pow.f64 (cos.f64 (neg.f64 M)) 2) (.f64 (pow.f64 K 3) (sin.f64 (neg.f64 M))))) (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 K 2) (pow.f64 (sin.f64 (neg.f64 M)) 2))) (.f64 -1/4 (.f64 (pow.f64 (cos.f64 (neg.f64 M)) 2) (pow.f64 K 2)))) (.f64 K (sin.f64 (neg.f64 M))))) (+.f64 (.f64 1/48 (.f64 (pow.f64 (cos.f64 (neg.f64 M)) 2) (.f64 (pow.f64 K 3) (sin.f64 (neg.f64 M))))) (.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 3) (sin.f64 (neg.f64 M))))) (.f64 1/24 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 3) (sin.f64 (neg.f64 M))))))))))) (+.f64 (pow.f64 (cos.f64 (neg.f64 M)) 3) (+.f64 (.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 (cos.f64 (neg.f64 M)) 2) (.f64 K (sin.f64 (neg.f64 M))))) (.f64 -1/2 (.f64 (pow.f64 (cos.f64 (neg.f64 M)) 2) (.f64 K (sin.f64 (neg.f64 M)))))) n) (.f64 (+.f64 (.f64 1/2 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (pow.f64 (sin.f64 (neg.f64 M)) 2)))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 (cos.f64 (neg.f64 M)) 3) (pow.f64 K 2))) (.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 K 2) (pow.f64 (sin.f64 (neg.f64 M)) 2))) (.f64 -1/4 (*.f64 (pow.f64 (cos.f64 (neg.f64 M)) 2) (pow.f64 K 2)))) (cos.f64 (neg.f64 M))))) (pow.f64 n 2)))))
(pow.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) 3)
(pow.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) 3)
(pow.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) 3)
(pow.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) 3)
(pow.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) 3)
(pow.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) 3)
(pow.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) 3)
(pow.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 n K))) 3)
(+.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 n K))) 3) (.f64 (+.f64 (.f64 2 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (pow.f64 (cos.f64 (.f64 1/2 (.f64 n K))) 2))) (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (pow.f64 (cos.f64 (.f64 1/2 (.f64 n K))) 2))) M))
(+.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 n K))) 3) (+.f64 (.f64 (+.f64 (.f64 2 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (pow.f64 (cos.f64 (.f64 1/2 (.f64 n K))) 2))) (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (pow.f64 (cos.f64 (.f64 1/2 (.f64 n K))) 2))) M) (.f64 (+.f64 (.f64 -1/2 (pow.f64 (cos.f64 (.f64 1/2 (.f64 n K))) 3)) (+.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (.f64 n K))) 2) (cos.f64 (.f64 1/2 (.f64 n K))))) (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (.f64 n K))) 2) (.f64 -1 (pow.f64 (cos.f64 (.f64 1/2 (.f64 n K))) 2)))))) (pow.f64 M 2))))
(+.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 n K))) 3) (+.f64 (.f64 (+.f64 (.f64 2 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (pow.f64 (cos.f64 (.f64 1/2 (.f64 n K))) 2))) (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (pow.f64 (cos.f64 (.f64 1/2 (.f64 n K))) 2))) M) (+.f64 (.f64 (+.f64 (.f64 -1/2 (pow.f64 (cos.f64 (.f64 1/2 (.f64 n K))) 3)) (+.f64 (.f64 2 (.f64 (pow.f64 (sin.f64 (.f64 1/2 (.f64 n K))) 2) (cos.f64 (.f64 1/2 (.f64 n K))))) (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (.f64 n K))) 2) (.f64 -1 (pow.f64 (cos.f64 (.f64 1/2 (.f64 n K))) 2)))))) (pow.f64 M 2)) (.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (+.f64 (pow.f64 (sin.f64 (.f64 1/2 (.f64 n K))) 2) (.f64 -1 (pow.f64 (cos.f64 (.f64 1/2 (.f64 n K))) 2)))) (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (pow.f64 (cos.f64 (.f64 1/2 (.f64 n K))) 2))) (+.f64 (.f64 -1/6 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (pow.f64 (cos.f64 (.f64 1/2 (.f64 n K))) 2))) (.f64 (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (cos.f64 (.f64 1/2 (.f64 n K))))) (.f64 -1/3 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (cos.f64 (.f64 1/2 (.f64 n K)))))) (cos.f64 (.f64 1/2 (.f64 n K))))))) (pow.f64 M 3)))))
(pow.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) 3)
(pow.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) 3)
(pow.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) 3)
(pow.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) 3)
(pow.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))) 3)
(pow.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))) 3)
(pow.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))) 3)
(pow.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))) 3)
(cos.f64 (neg.f64 M))
(+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 n (*.f64 K (sin.f64 (neg.f64 M))))))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 n 2) (pow.f64 K 2)))) (+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M)))))))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 n 2) (pow.f64 K 2)))) (+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M))))) (.f64 1/48 (.f64 (pow.f64 n 3) (*.f64 (pow.f64 K 3) (sin.f64 (neg.f64 M))))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (neg.f64 M))
(+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 n (*.f64 K (sin.f64 (neg.f64 M))))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M))))) (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (cos.f64 (neg.f64 M)) (pow.f64 K 2))))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (cos.f64 (neg.f64 M)) (pow.f64 K 2)))) (.f64 1/48 (.f64 (pow.f64 n 3) (*.f64 (pow.f64 K 3) (sin.f64 (neg.f64 M))))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (.f64 1/2 (.f64 n K)))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) M) (cos.f64 (.f64 1/2 (*.f64 n K))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (pow.f64 M 2))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) M) (cos.f64 (.f64 1/2 (*.f64 n K)))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (pow.f64 M 2))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) M) (+.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 -1/6 (.f64 (sin.f64 (.f64 1/2 (*.f64 n K))) (pow.f64 M 3))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M)))
(cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M)))
(cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M)))
(cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M)))

Outputs
(cos.f64 (neg.f64 M))
(cos.f64 M)
(+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 n (*.f64 K (sin.f64 (neg.f64 M))))))
(+.f64 (cos.f64 M) (.f64 -1/2 (.f64 n (*.f64 K (neg.f64 (sin.f64 M))))))
(fma.f64 -1/2 (.f64 n (.f64 K (neg.f64 (sin.f64 M)))) (cos.f64 M))
(fma.f64 -1/2 (.f64 K (.f64 n (neg.f64 (sin.f64 M)))) (cos.f64 M))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 n 2) (pow.f64 K 2)))) (+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M)))))))
(fma.f64 -1/8 (.f64 (cos.f64 M) (.f64 (.f64 n n) (.f64 K K))) (+.f64 (cos.f64 M) (.f64 -1/2 (.f64 n (*.f64 K (neg.f64 (sin.f64 M)))))))
(fma.f64 -1/8 (.f64 (cos.f64 M) (.f64 (.f64 n K) (.f64 n K))) (fma.f64 -1/2 (.f64 n (.f64 K (neg.f64 (sin.f64 M)))) (cos.f64 M)))
(fma.f64 -1/8 (.f64 (cos.f64 M) (.f64 (.f64 n K) (.f64 n K))) (fma.f64 -1/2 (.f64 K (.f64 n (neg.f64 (sin.f64 M)))) (cos.f64 M)))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 n 2) (pow.f64 K 2)))) (+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M))))) (.f64 1/48 (.f64 (pow.f64 n 3) (*.f64 (pow.f64 K 3) (sin.f64 (neg.f64 M))))))))
(fma.f64 -1/8 (.f64 (cos.f64 M) (.f64 (.f64 n n) (.f64 K K))) (+.f64 (cos.f64 M) (fma.f64 -1/2 (.f64 n (.f64 K (neg.f64 (sin.f64 M)))) (.f64 1/48 (.f64 (pow.f64 n 3) (*.f64 (neg.f64 (sin.f64 M)) (pow.f64 K 3)))))))
(+.f64 (fma.f64 -1/2 (.f64 n (.f64 K (neg.f64 (sin.f64 M)))) (cos.f64 M)) (fma.f64 -1/8 (.f64 (cos.f64 M) (.f64 (.f64 n K) (.f64 n K))) (.f64 1/48 (.f64 (pow.f64 n 3) (*.f64 (neg.f64 (sin.f64 M)) (pow.f64 K 3))))))
(+.f64 (.f64 (neg.f64 (sin.f64 M)) (+.f64 (.f64 -1/2 (.f64 n K)) (.f64 (.f64 1/48 (pow.f64 n 3)) (pow.f64 K 3)))) (.f64 (+.f64 (.f64 -1/8 (.f64 (.f64 n K) (.f64 n K))) 1) (cos.f64 M)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (neg.f64 M))
(cos.f64 M)
(+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 n (*.f64 K (sin.f64 (neg.f64 M))))))
(+.f64 (cos.f64 M) (.f64 -1/2 (.f64 n (*.f64 K (neg.f64 (sin.f64 M))))))
(fma.f64 -1/2 (.f64 n (.f64 K (neg.f64 (sin.f64 M)))) (cos.f64 M))
(fma.f64 -1/2 (.f64 K (.f64 n (neg.f64 (sin.f64 M)))) (cos.f64 M))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M))))) (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (cos.f64 (neg.f64 M)) (pow.f64 K 2))))))
(fma.f64 -1/8 (.f64 (cos.f64 M) (.f64 (.f64 n n) (.f64 K K))) (+.f64 (cos.f64 M) (.f64 -1/2 (.f64 n (*.f64 K (neg.f64 (sin.f64 M)))))))
(fma.f64 -1/8 (.f64 (cos.f64 M) (.f64 (.f64 n K) (.f64 n K))) (fma.f64 -1/2 (.f64 n (.f64 K (neg.f64 (sin.f64 M)))) (cos.f64 M)))
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(fma.f64 -1/2 (.f64 K (.f64 n (neg.f64 (sin.f64 M)))) (cos.f64 M))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 n 2) (pow.f64 K 2)))) (+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M)))))))
(fma.f64 -1/8 (.f64 (cos.f64 M) (.f64 (.f64 n n) (.f64 K K))) (+.f64 (cos.f64 M) (.f64 -1/2 (.f64 n (*.f64 K (neg.f64 (sin.f64 M)))))))
(fma.f64 -1/8 (.f64 (cos.f64 M) (.f64 (.f64 n K) (.f64 n K))) (fma.f64 -1/2 (.f64 n (.f64 K (neg.f64 (sin.f64 M)))) (cos.f64 M)))
(fma.f64 -1/8 (.f64 (cos.f64 M) (.f64 (.f64 n K) (.f64 n K))) (fma.f64 -1/2 (.f64 K (.f64 n (neg.f64 (sin.f64 M)))) (cos.f64 M)))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 n 2) (pow.f64 K 2)))) (+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M))))) (.f64 1/48 (.f64 (pow.f64 n 3) (*.f64 (pow.f64 K 3) (sin.f64 (neg.f64 M))))))))
(fma.f64 -1/8 (.f64 (cos.f64 M) (.f64 (.f64 n n) (.f64 K K))) (+.f64 (cos.f64 M) (fma.f64 -1/2 (.f64 n (.f64 K (neg.f64 (sin.f64 M)))) (.f64 1/48 (.f64 (pow.f64 n 3) (*.f64 (neg.f64 (sin.f64 M)) (pow.f64 K 3)))))))
(+.f64 (fma.f64 -1/2 (.f64 n (.f64 K (neg.f64 (sin.f64 M)))) (cos.f64 M)) (fma.f64 -1/8 (.f64 (cos.f64 M) (.f64 (.f64 n K) (.f64 n K))) (.f64 1/48 (.f64 (pow.f64 n 3) (*.f64 (neg.f64 (sin.f64 M)) (pow.f64 K 3))))))
(+.f64 (.f64 (neg.f64 (sin.f64 M)) (+.f64 (.f64 -1/2 (.f64 n K)) (.f64 (.f64 1/48 (pow.f64 n 3)) (pow.f64 K 3)))) (.f64 (+.f64 (.f64 -1/8 (.f64 (.f64 n K) (.f64 n K))) 1) (cos.f64 M)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (neg.f64 M))
(cos.f64 M)
(+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 n (*.f64 K (sin.f64 (neg.f64 M))))))
(+.f64 (cos.f64 M) (.f64 -1/2 (.f64 n (*.f64 K (neg.f64 (sin.f64 M))))))
(fma.f64 -1/2 (.f64 n (.f64 K (neg.f64 (sin.f64 M)))) (cos.f64 M))
(fma.f64 -1/2 (.f64 K (.f64 n (neg.f64 (sin.f64 M)))) (cos.f64 M))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M))))) (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (cos.f64 (neg.f64 M)) (pow.f64 K 2))))))
(fma.f64 -1/8 (.f64 (cos.f64 M) (.f64 (.f64 n n) (.f64 K K))) (+.f64 (cos.f64 M) (.f64 -1/2 (.f64 n (*.f64 K (neg.f64 (sin.f64 M)))))))
(fma.f64 -1/8 (.f64 (cos.f64 M) (.f64 (.f64 n K) (.f64 n K))) (fma.f64 -1/2 (.f64 n (.f64 K (neg.f64 (sin.f64 M)))) (cos.f64 M)))
(fma.f64 -1/8 (.f64 (cos.f64 M) (.f64 (.f64 n K) (.f64 n K))) (fma.f64 -1/2 (.f64 K (.f64 n (neg.f64 (sin.f64 M)))) (cos.f64 M)))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (cos.f64 (neg.f64 M)) (pow.f64 K 2)))) (.f64 1/48 (.f64 (pow.f64 n 3) (*.f64 (pow.f64 K 3) (sin.f64 (neg.f64 M))))))))
(fma.f64 -1/8 (.f64 (cos.f64 M) (.f64 (.f64 n n) (.f64 K K))) (+.f64 (cos.f64 M) (fma.f64 -1/2 (.f64 n (.f64 K (neg.f64 (sin.f64 M)))) (.f64 1/48 (.f64 (pow.f64 n 3) (*.f64 (neg.f64 (sin.f64 M)) (pow.f64 K 3)))))))
(+.f64 (fma.f64 -1/2 (.f64 n (.f64 K (neg.f64 (sin.f64 M)))) (cos.f64 M)) (fma.f64 -1/8 (.f64 (cos.f64 M) (.f64 (.f64 n K) (.f64 n K))) (.f64 1/48 (.f64 (pow.f64 n 3) (*.f64 (neg.f64 (sin.f64 M)) (pow.f64 K 3))))))
(+.f64 (.f64 (neg.f64 (sin.f64 M)) (+.f64 (.f64 -1/2 (.f64 n K)) (.f64 (.f64 1/48 (pow.f64 n 3)) (pow.f64 K 3)))) (.f64 (+.f64 (.f64 -1/8 (.f64 (.f64 n K) (.f64 n K))) 1) (cos.f64 M)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) M) (cos.f64 (.f64 1/2 (*.f64 n K))))
(fma.f64 (sin.f64 (.f64 1/2 (.f64 n K))) M (cos.f64 (.f64 1/2 (.f64 n K))))
(fma.f64 M (sin.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (pow.f64 M 2))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) M) (cos.f64 (.f64 1/2 (*.f64 n K)))))
(fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 M M)) (fma.f64 (sin.f64 (.f64 1/2 (.f64 n K))) M (cos.f64 (.f64 1/2 (.f64 n K)))))
(fma.f64 -1/2 (.f64 M (.f64 M (cos.f64 (.f64 n (.f64 K 1/2))))) (fma.f64 M (sin.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2)))))
(+.f64 (.f64 M (sin.f64 (.f64 n (.f64 K 1/2)))) (.f64 (+.f64 (.f64 -1/2 (.f64 M M)) 1) (cos.f64 (.f64 n (.f64 K 1/2)))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (pow.f64 M 2))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) M) (+.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 -1/6 (.f64 (sin.f64 (.f64 1/2 (*.f64 n K))) (pow.f64 M 3))))))
(fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 M M)) (+.f64 (fma.f64 (sin.f64 (.f64 1/2 (.f64 n K))) M (cos.f64 (.f64 1/2 (.f64 n K)))) (.f64 -1/6 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (pow.f64 M 3)))))
(fma.f64 -1/2 (.f64 M (.f64 M (cos.f64 (.f64 n (.f64 K 1/2))))) (fma.f64 M (sin.f64 (.f64 n (.f64 K 1/2))) (fma.f64 (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) -1/6) (pow.f64 M 3) (cos.f64 (.f64 n (*.f64 K 1/2))))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 M M)) 1) (cos.f64 (.f64 n (.f64 K 1/2)))) (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (+.f64 M (*.f64 (pow.f64 M 3) -1/6))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))

prune1.1s (10.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	195	2	197
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	197	8	205

Error

2.0b

Counts

205 → 8

Alt Table

Status	Error	Program
	15.7b	(.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)))) 1) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	24.9b	(.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 M) 3) (.f64 n (+.f64 (.f64 (.f64 K (neg.f64 (sin.f64 M))) (.f64 (pow.f64 (cos.f64 M) 2) -3/2)) (.f64 (+.f64 (.f64 (cos.f64 M) (.f64 (.f64 K K) (+.f64 (.f64 (pow.f64 (cos.f64 M) 2) -1/4) (.f64 1/4 (.f64 (sin.f64 M) (sin.f64 M)))))) (.f64 (.f64 K K) (+.f64 (.f64 (.f64 (cos.f64 M) 1/2) (.f64 (sin.f64 M) (sin.f64 M))) (.f64 -1/8 (pow.f64 (cos.f64 M) 3))))) n))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
✓	2.1b	(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	15.7b	(.f64 (fma.f64 M (sin.f64 (.f64 (+.f64 n m) (.f64 K 1/2))) (cos.f64 (.f64 (+.f64 n m) (*.f64 K 1/2)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	50.9b	(.f64 (cos.f64 (pow.f64 (pow.f64 (-.f64 (.f64 1/2 (*.f64 K n)) M) 3) 1/3)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	9.5b	(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (-.f64 (.f64 n (*.f64 1/2 K)) M)) 3)) 3)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	15.5b	(.f64 (+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	42.1b	(.f64 (cos.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 1/2 (*.f64 K n)) M) 3))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))

Compiler

Compiled 9512 to 5500 computations (42.2% saved)

regimes71.0ms (0.6%)

Accuracy

Total -55.5b remaining (-2605.2%)

Threshold costs -55.5b (-2605.2%)

Counts

14 → 1

Calls

Call 1

Inputs
(.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 M) 3) (.f64 n (+.f64 (.f64 (.f64 K (neg.f64 (sin.f64 M))) (.f64 (pow.f64 (cos.f64 M) 2) -3/2)) (.f64 (+.f64 (.f64 (cos.f64 M) (.f64 (.f64 K K) (+.f64 (.f64 (pow.f64 (cos.f64 M) 2) -1/4) (.f64 1/4 (.f64 (sin.f64 M) (sin.f64 M)))))) (.f64 (.f64 K K) (+.f64 (.f64 (.f64 (cos.f64 M) 1/2) (.f64 (sin.f64 M) (sin.f64 M))) (.f64 -1/8 (pow.f64 (cos.f64 M) 3))))) n))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (-.f64 (.f64 n (*.f64 1/2 K)) M)) 3)) 3)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
(.f64 (cos.f64 (pow.f64 (pow.f64 (-.f64 (.f64 1/2 (*.f64 K n)) M) 3) 1/3)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K n)) M)) 3)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
(.f64 (cos.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 1/2 (*.f64 K n)) M) 3))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
(.f64 (cos.f64 M) (exp.f64 (.f64 n (fma.f64 n -1/4 (+.f64 M (*.f64 -1/2 m))))))
(.f64 (fma.f64 M (sin.f64 (.f64 (+.f64 n m) (.f64 K 1/2))) (cos.f64 (.f64 (+.f64 n m) (*.f64 K 1/2)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
(.f64 (-.f64 (.f64 (+.f64 (.f64 (.f64 m m) (.f64 K (.f64 K -1/8))) 1) (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))) (.f64 (.f64 K (sin.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))) (*.f64 m 1/2))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
(.f64 (cos.f64 (-.f64 (.f64 K (*.f64 n 1/2)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
(.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)))) 1) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
(.f64 (+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
(*.f64 (cos.f64 (fma.f64 K (/.f64 (+.f64 m n) 2) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))

Outputs
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))

Results

8.0ms	2.1b	`K`
10.0ms	2.1b	`m`
8.0ms	2.1b	`n`
11.0ms	2.1b	`M`
18.0ms	2.1b	`l`
4.0ms	2.1b	`(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))`

Compiler

Compiled 551 to 324 computations (41.2% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative_binary64`
10×	`sub-neg_binary64`
7×	`*-commutative_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	31
1	28	31
2	45	31
3	60	31
4	69	31
5	72	31

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))

Outputs

(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))

(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2) l))))

end69.0ms (0.6%)

Stop Event

1×

fuel

Remove

(sort m n)

Compiler

Compiled 100 to 72 computations (28% saved)

Details

analyze819.0ms (7.4%)

sample2.1s (19%)

preprocess58.0ms (0.5%)

simplify41.0ms (0.4%)

prune4.0ms (0%)

localize16.0ms (0.1%)

series23.0ms (0.2%)

rewrite94.0ms (0.9%)

simplify104.0ms (0.9%)

prune1.7s (15.6%)

localize14.0ms (0.1%)

series12.0ms (0.1%)

rewrite76.0ms (0.7%)

simplify85.0ms (0.8%)

prune2.0s (18.3%)

localize18.0ms (0.2%)

series12.0ms (0.1%)

rewrite68.0ms (0.6%)

simplify56.0ms (0.5%)

prune2.2s (20%)

localize22.0ms (0.2%)

series19.0ms (0.2%)

rewrite94.0ms (0.8%)

simplify73.0ms (0.7%)

prune1.1s (10.2%)

regimes71.0ms (0.6%)

simplify3.0ms (0%)

end69.0ms (0.6%)

Profiling