Details

analyze919.0ms (8.4%)

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)

sample2.2s (20.1%)

Results

1.9s	8127×	body	256	valid
80.0ms	366×	body	256	invalid
66.0ms	65×	body	1024	valid
55.0ms	90×	body	1024	invalid
34.0ms	85×	body	512	invalid
28.0ms	63×	body	512	valid
18.0ms	20×	body	2048	invalid
1.0ms	1×	body	2048	valid

preprocess60.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	154	495
1	433	495
2	1050	473
3	3771	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 (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 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 (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 (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 m 2) (+.f64 K n)) 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 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 K n) (/.f64 m 2)) M)) (exp.f64 (+.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 n (/.f64 2 (+.f64 K m))) 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 n 2) (+.f64 K m)) 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 (+.f64 K m) 2) n) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 K m)) 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 (-.f64 l (fabs.f64 (-.f64 m n))) (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 m n) (/.f64 2 l)) 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 (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 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 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 (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 K (/.f64 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 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 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 K 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 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 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 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m l) 2) M) 2)) (-.f64 n (fabs.f64 (-.f64 l m))))))
(.f64 (cos.f64 (-.f64 (.f64 (/.f64 K 2) (+.f64 m l)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m l) 2) M) 2)) (-.f64 n (fabs.f64 (-.f64 l m))))))
(.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 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 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) l) 2) (-.f64 M (fabs.f64 (-.f64 m n))))))

Symmetry

(sort m n)

Compiler

Compiled 39 to 28 computations (28.2% saved)

simplify56.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

598×	`exp-prod_binary64`
446×	`fma-neg_binary64`
371×	`associate-l_binary64`
308×	`associate-r_binary64`
249×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	45
1	58	45
2	135	43
3	442	43
4	1767	43
5	7431	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 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 (-.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 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 m n))))))
(*.f64 (cos.f64 (fma.f64 K (/.f64 (+.f64 m n) 2) (neg.f64 M))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))

eval1.0ms (0%)

Compiler: Compiled 62 to 37 computations (40.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

16.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.0b	(.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 34 to 23 computations (32.4% saved)

localize49.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 K (+.f64 m n))
✓	0.0b	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)
✓	35.8b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

Compiler

Compiled 153 to 64 computations (58.2% saved)

series20.0ms (0.2%)

Counts

3 → 132

Calls

33 calls:

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

rewrite98.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

648×	`log-prod_binary64`
437×	`fma-def_binary64`
364×	`pow2_binary64`
253×	`pow1/3_binary64`
247×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	35
1	261	35
2	3870	35

Stop Event

1×	node limit

Counts

3 → 218

Calls

Call 1

Inputs
(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)
(*.f64 K (+.f64 m n))

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

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(sqrt.f64 M)) (-.f64 (sqrt.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2))) (sqrt.f64 M)) (+.f64 (neg.f64 M) M))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (*.f64 M M))) (cbrt.f64 M) (*.f64 K (*.f64 (+.f64 m n) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 K 2) (+.f64 m n) (neg.f64 M))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 K 2) (+.f64 m n) (*.f64 (neg.f64 M) 1))))))

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

simplify79.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

841×	`distribute-rgt-in_binary64`
829×	`distribute-lft-in_binary64`
586×	`fma-def_binary64`
576×	`distribute-rgt-neg-out_binary64`
516×	`distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	114	1953
1	349	1945
2	1088	1870
3	3321	1845

Stop Event

1×	node limit

Counts

350 → 275

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 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) 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 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 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))))) (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 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) 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 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m)))))
(cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m)))))
(cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m)))))
(cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m)))))
(*.f64 -1 M)
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(.f64 1/2 (.f64 K (+.f64 n m)))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(.f64 1/2 (.f64 K (+.f64 n m)))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(-.f64 (.f64 1/2 (.f64 n K)) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(.f64 1/2 (.f64 K m))
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(.f64 1/2 (.f64 K m))
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (.f64 1/2 (.f64 K m)) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(.f64 1/2 (.f64 n K))
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(.f64 1/2 (.f64 n K))
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(.f64 1/2 (.f64 K (+.f64 n m)))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(*.f64 -1 M)
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(*.f64 -1 M)
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 n K)
(+.f64 (.f64 n K) (.f64 K m))
(+.f64 (.f64 n K) (.f64 K m))
(+.f64 (.f64 n K) (.f64 K m))
(*.f64 K m)
(+.f64 (.f64 n K) (.f64 K m))
(+.f64 (.f64 n K) (.f64 K m))
(+.f64 (.f64 n K) (.f64 K m))
(*.f64 K m)
(+.f64 (.f64 n K) (.f64 K m))
(+.f64 (.f64 n K) (.f64 K m))
(+.f64 (.f64 n K) (.f64 K m))
(*.f64 K m)
(+.f64 (.f64 n K) (.f64 K m))
(+.f64 (.f64 n K) (.f64 K m))
(+.f64 (.f64 n K) (.f64 K m))
(*.f64 n K)
(+.f64 (.f64 n K) (.f64 K m))
(+.f64 (.f64 n K) (.f64 K m))
(+.f64 (.f64 n K) (.f64 K m))
(*.f64 n K)
(+.f64 (.f64 n K) (.f64 K m))
(+.f64 (.f64 n K) (.f64 K m))
(+.f64 (.f64 n K) (.f64 K m))

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

eval143.0ms (1.3%)

Compiler: Compiled 10720 to 5184 computations (51.6% saved)

prune72.0ms (0.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	263	12	275
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	264	12	276

Error

1.4b

Counts

276 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	16.1b	(.f64 (cos.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 (cbrt.f64 K) 2) (.f64 (cbrt.f64 K) n) (*.f64 K m)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	16.0b	(.f64 (log1p.f64 (expm1.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) (neg.f64 M))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	44.6b	(.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (pow.f64 (.f64 K (+.f64 m n)) 3) 1/3) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	16.2b	(.f64 (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) (neg.f64 M))) 2)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	38.4b	(.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 K (+.f64 m n))) 2) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	16.0b	(.f64 (log.f64 (exp.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) (neg.f64 M))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	9.4b	(.f64 (cos.f64 (.f64 K (*.f64 n 1/2))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	16.0b	(.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) (neg.f64 M)))) 3) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	1.7b	(*.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	16.1b	(.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) (neg.f64 M))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) 1/2) (neg.f64 M))))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	10.8b	(.f64 (cos.f64 (.f64 K (*.f64 m 1/2))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	16.0b	(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) (neg.f64 M)))) 2) (cbrt.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) (neg.f64 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 900 to 628 computations (30.2% saved)

localize45.0ms (0.4%)

Compiler: Compiled 115 to 51 computations (55.7% saved)

localize45.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 K (.f64 m 1/2))
✓	29.0b	(cos.f64 (.f64 K (.f64 m 1/2)))

Compiler

Compiled 133 to 64 computations (51.9% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	K	@	-inf	(cos.f64 (.f64 K (.f64 m 1/2)))
1.0ms	K	@	0	(cos.f64 (.f64 K (.f64 m 1/2)))
1.0ms	m	@	inf	(.f64 K (.f64 m 1/2))
1.0ms	K	@	0	(.f64 K (.f64 m 1/2))
1.0ms	K	@	inf	(.f64 K (.f64 m 1/2))

rewrite60.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

652×	`pow1_binary64`
599×	`add-log-exp_binary64`
599×	`log1p-expm1-u_binary64`
599×	`expm1-log1p-u_binary64`
586×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	140	16
2	1622	16

Stop Event

1×	node limit

Counts

2 → 27

Calls

Call 1

Inputs
(cos.f64 (.f64 K (.f64 m 1/2)))
(.f64 K (.f64 m 1/2))

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

Outputs

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

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

simplify248.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1130×	`sqr-pow_binary64`
997×	`fma-def_binary64`
598×	`pow-sqr_binary64`
481×	`cube-prod_binary64`
431×	`fabs-mul_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	32	484
1	79	480
2	208	476
3	870	476
4	2189	464
5	2694	458
6	3005	440
7	3230	440
8	3474	440
9	3794	440
10	4222	440
11	4742	440
12	5377	440
13	5641	440
14	5861	440
15	6029	440
16	6169	440
17	6283	440
18	7066	440
19	7936	440

Stop Event

1×	node limit

Counts

75 → 38

Calls

Call 1

Inputs
1
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) 1)
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4))) (.f64 -1/46080 (.f64 (pow.f64 K 6) (pow.f64 m 6))))))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
1
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) 1)
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4))) (.f64 -1/46080 (.f64 (pow.f64 K 6) (pow.f64 m 6))))))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(.f64 1/2 (.f64 K m))
(.f64 1/2 (.f64 K m))
(.f64 1/2 (.f64 K m))
(.f64 1/2 (.f64 K m))
(.f64 1/2 (.f64 K m))
(.f64 1/2 (.f64 K m))
(.f64 1/2 (.f64 K m))
(.f64 1/2 (.f64 K m))
(.f64 1/2 (.f64 K m))
(.f64 1/2 (.f64 K m))
(.f64 1/2 (.f64 K m))
(.f64 1/2 (.f64 K m))
(.f64 1/2 (.f64 K m))
(.f64 1/2 (.f64 K m))
(.f64 1/2 (.f64 K m))
(.f64 1/2 (.f64 K m))
(.f64 1/2 (.f64 K m))
(.f64 1/2 (.f64 K m))
(.f64 1/2 (.f64 K m))
(.f64 1/2 (.f64 K m))
(.f64 1/2 (.f64 K m))
(.f64 1/2 (.f64 K m))
(.f64 1/2 (.f64 K m))
(.f64 1/2 (.f64 K m))

Outputs
1
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) 1)
(fma.f64 -1/8 (.f64 (.f64 K K) (*.f64 m m)) 1)
(fma.f64 -1/8 (.f64 K (.f64 K (*.f64 m m))) 1)
(fma.f64 (.f64 K K) (.f64 m (*.f64 -1/8 m)) 1)
(fma.f64 -1/8 (pow.f64 (*.f64 K m) 2) 1)
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)))))
(fma.f64 -1/8 (.f64 (.f64 K K) (.f64 m m)) (+.f64 1 (.f64 1/384 (*.f64 (pow.f64 K 4) (pow.f64 m 4)))))
(fma.f64 -1/8 (.f64 (.f64 K K) (.f64 m m)) (fma.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)) 1))
(fma.f64 (pow.f64 K 4) (.f64 1/384 (pow.f64 m 4)) (fma.f64 -1/8 (.f64 K (.f64 K (.f64 m m))) 1))
(fma.f64 -1/8 (.f64 K (.f64 K (.f64 m m))) (fma.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)) 1))
(fma.f64 -1/8 (.f64 K (.f64 K (.f64 m m))) (fma.f64 1/384 (pow.f64 (.f64 K m) 4) 1))
(fma.f64 -1/8 (pow.f64 (.f64 K m) 2) (fma.f64 1/384 (pow.f64 (.f64 K m) 4) 1))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4))) (.f64 -1/46080 (.f64 (pow.f64 K 6) (pow.f64 m 6))))))
(+.f64 (fma.f64 -1/8 (.f64 (.f64 K K) (.f64 m m)) 1) (fma.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)) (.f64 -1/46080 (.f64 (pow.f64 K 6) (pow.f64 m 6)))))
(fma.f64 -1/8 (.f64 K (.f64 K (.f64 m m))) (fma.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)) (fma.f64 (pow.f64 m 6) (*.f64 -1/46080 (pow.f64 K 6)) 1)))
(fma.f64 -1/8 (.f64 K (.f64 K (.f64 m m))) (fma.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)) (fma.f64 -1/46080 (*.f64 (pow.f64 K 6) (pow.f64 m 6)) 1)))
(fma.f64 -1/8 (.f64 K (.f64 K (.f64 m m))) (fma.f64 1/384 (pow.f64 (.f64 K m) 4) (fma.f64 -1/46080 (*.f64 (pow.f64 K 6) (pow.f64 m 6)) 1)))
(fma.f64 -1/8 (.f64 K (.f64 K (.f64 m m))) (fma.f64 1/384 (pow.f64 (.f64 K m) 4) (fma.f64 -1/46080 (pow.f64 (*.f64 K m) 6) 1)))
(fma.f64 -1/8 (pow.f64 (.f64 K m) 2) (fma.f64 1/384 (pow.f64 (.f64 K m) 4) (fma.f64 -1/46080 (pow.f64 (*.f64 K m) 6) 1)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
1
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) 1)
(fma.f64 -1/8 (.f64 (.f64 K K) (*.f64 m m)) 1)
(fma.f64 -1/8 (.f64 K (.f64 K (*.f64 m m))) 1)
(fma.f64 (.f64 K K) (.f64 m (*.f64 -1/8 m)) 1)
(fma.f64 -1/8 (pow.f64 (*.f64 K m) 2) 1)
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)))))
(fma.f64 -1/8 (.f64 (.f64 K K) (.f64 m m)) (+.f64 1 (.f64 1/384 (*.f64 (pow.f64 K 4) (pow.f64 m 4)))))
(fma.f64 -1/8 (.f64 (.f64 K K) (.f64 m m)) (fma.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)) 1))
(fma.f64 (pow.f64 K 4) (.f64 1/384 (pow.f64 m 4)) (fma.f64 -1/8 (.f64 K (.f64 K (.f64 m m))) 1))
(fma.f64 -1/8 (.f64 K (.f64 K (.f64 m m))) (fma.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)) 1))
(fma.f64 -1/8 (.f64 K (.f64 K (.f64 m m))) (fma.f64 1/384 (pow.f64 (.f64 K m) 4) 1))
(fma.f64 -1/8 (pow.f64 (.f64 K m) 2) (fma.f64 1/384 (pow.f64 (.f64 K m) 4) 1))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4))) (.f64 -1/46080 (.f64 (pow.f64 K 6) (pow.f64 m 6))))))
(+.f64 (fma.f64 -1/8 (.f64 (.f64 K K) (.f64 m m)) 1) (fma.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)) (.f64 -1/46080 (.f64 (pow.f64 K 6) (pow.f64 m 6)))))
(fma.f64 -1/8 (.f64 K (.f64 K (.f64 m m))) (fma.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)) (fma.f64 (pow.f64 m 6) (*.f64 -1/46080 (pow.f64 K 6)) 1)))
(fma.f64 -1/8 (.f64 K (.f64 K (.f64 m m))) (fma.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)) (fma.f64 -1/46080 (*.f64 (pow.f64 K 6) (pow.f64 m 6)) 1)))
(fma.f64 -1/8 (.f64 K (.f64 K (.f64 m m))) (fma.f64 1/384 (pow.f64 (.f64 K m) 4) (fma.f64 -1/46080 (*.f64 (pow.f64 K 6) (pow.f64 m 6)) 1)))
(fma.f64 -1/8 (.f64 K (.f64 K (.f64 m m))) (fma.f64 1/384 (pow.f64 (.f64 K m) 4) (fma.f64 -1/46080 (pow.f64 (*.f64 K m) 6) 1)))
(fma.f64 -1/8 (pow.f64 (.f64 K m) 2) (fma.f64 1/384 (pow.f64 (.f64 K m) 4) (fma.f64 -1/46080 (pow.f64 (*.f64 K m) 6) 1)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(.f64 1/2 (.f64 K m))
(.f64 K (.f64 m 1/2))
(.f64 1/2 (.f64 K m))
(.f64 K (.f64 m 1/2))
(.f64 1/2 (.f64 K m))
(.f64 K (.f64 m 1/2))
(.f64 1/2 (.f64 K m))
(.f64 K (.f64 m 1/2))
(.f64 1/2 (.f64 K m))
(.f64 K (.f64 m 1/2))
(.f64 1/2 (.f64 K m))
(.f64 K (.f64 m 1/2))
(.f64 1/2 (.f64 K m))
(.f64 K (.f64 m 1/2))
(.f64 1/2 (.f64 K m))
(.f64 K (.f64 m 1/2))
(.f64 1/2 (.f64 K m))
(.f64 K (.f64 m 1/2))
(.f64 1/2 (.f64 K m))
(.f64 K (.f64 m 1/2))
(.f64 1/2 (.f64 K m))
(.f64 K (.f64 m 1/2))
(.f64 1/2 (.f64 K m))
(.f64 K (.f64 m 1/2))
(.f64 1/2 (.f64 K m))
(.f64 K (.f64 m 1/2))
(.f64 1/2 (.f64 K m))
(.f64 K (.f64 m 1/2))
(.f64 1/2 (.f64 K m))
(.f64 K (.f64 m 1/2))
(.f64 1/2 (.f64 K m))
(.f64 K (.f64 m 1/2))
(.f64 1/2 (.f64 K m))
(.f64 K (.f64 m 1/2))
(.f64 1/2 (.f64 K m))
(.f64 K (.f64 m 1/2))
(.f64 1/2 (.f64 K m))
(.f64 K (.f64 m 1/2))
(.f64 1/2 (.f64 K m))
(.f64 K (.f64 m 1/2))
(.f64 1/2 (.f64 K m))
(.f64 K (.f64 m 1/2))
(.f64 1/2 (.f64 K m))
(.f64 K (.f64 m 1/2))
(.f64 1/2 (.f64 K m))
(.f64 K (.f64 m 1/2))
(.f64 1/2 (.f64 K m))
(.f64 K (.f64 m 1/2))

localize94.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 K (+.f64 m n))
✓	0.2b	(pow.f64 (sqrt.f64 (*.f64 K (+.f64 m n))) 2)
✓	8.3b	(sqrt.f64 (*.f64 K (+.f64 m n)))
✓	18.9b	(cos.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 K (+.f64 m n))) 2) 2) M))

Compiler

Compiled 179 to 75 computations (58.1% saved)

series31.0ms (0.3%)

Counts

3 → 64

Calls

30 calls:

Time	Variable		Point	Expression
5.0ms	m	@	inf	(pow.f64 (sqrt.f64 (*.f64 K (+.f64 m n))) 2)
2.0ms	n	@	inf	(pow.f64 (sqrt.f64 (*.f64 K (+.f64 m n))) 2)
2.0ms	m	@	-inf	(cos.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 K (+.f64 m n))) 2) 2) M))
1.0ms	n	@	0	(pow.f64 (sqrt.f64 (*.f64 K (+.f64 m n))) 2)
1.0ms	K	@	-inf	(pow.f64 (sqrt.f64 (*.f64 K (+.f64 m n))) 2)

rewrite86.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

686×	`log-prod_binary64`
446×	`fma-def_binary64`
263×	`pow1/3_binary64`
257×	`expm1-udef_binary64`
257×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	304	31
2	4048	31

Stop Event

1×	node limit

Counts

3 → 170

Calls

Call 1

Inputs
(cos.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 K (+.f64 m n))) 2) 2) M))
(sqrt.f64 (*.f64 K (+.f64 m n)))
(pow.f64 (sqrt.f64 (*.f64 K (+.f64 m n))) 2)

Outputs

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

simplify73.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

804×	`distribute-rgt-neg-out_binary64`
522×	`*-commutative_binary64`
377×	`unsub-neg_binary64`
300×	`unswap-sqr_binary64`
277×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	184	1452
1	554	1436
2	1864	1369
3	5272	1367

Stop Event

1×	node limit

Counts

234 → 231

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 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 K (+.f64 n m)))) M))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 K (+.f64 n m)))) M))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 K (+.f64 n m)))) M))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 K (+.f64 n m)))) 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 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 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))))) (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 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) 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 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m)))))
(cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m)))))
(cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m)))))
(cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m)))))
(sqrt.f64 (*.f64 n K))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 K n)) m)) (sqrt.f64 (*.f64 n K)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 K n)) m)) (+.f64 (sqrt.f64 (.f64 n K)) (.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 K (pow.f64 n 3))) (pow.f64 m 2)))))
(+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 K (pow.f64 n 5))) (pow.f64 m 3))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 K n)) m)) (+.f64 (sqrt.f64 (.f64 n K)) (.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 K (pow.f64 n 3))) (pow.f64 m 2))))))
(sqrt.f64 (*.f64 K m))
(+.f64 (sqrt.f64 (.f64 K m)) (.f64 1/2 (*.f64 n (sqrt.f64 (/.f64 K m)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (sqrt.f64 (/.f64 K (pow.f64 m 3))))) (+.f64 (sqrt.f64 (.f64 K m)) (.f64 1/2 (*.f64 n (sqrt.f64 (/.f64 K m))))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (sqrt.f64 (/.f64 K (pow.f64 m 3))))) (+.f64 (sqrt.f64 (.f64 K m)) (+.f64 (.f64 1/2 (.f64 n (sqrt.f64 (/.f64 K m)))) (.f64 1/16 (*.f64 (pow.f64 n 3) (sqrt.f64 (/.f64 K (pow.f64 m 5))))))))
(*.f64 n K)
(+.f64 (.f64 n K) (.f64 K m))
(+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 K n)) (.f64 -1/4 (/.f64 K n))) (pow.f64 m 2)) (+.f64 (.f64 n K) (*.f64 K m)))
(+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 K n)) (.f64 -1/4 (/.f64 K n))) (pow.f64 m 2)) (+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 K (pow.f64 n 2))) (.f64 1/8 (/.f64 K (pow.f64 n 2)))) (pow.f64 m 3)) (+.f64 (.f64 n K) (.f64 K m))))
(*.f64 K m)
(+.f64 (.f64 n K) (.f64 K m))
(+.f64 (.f64 n K) (+.f64 (.f64 (pow.f64 n 2) (+.f64 (.f64 1/4 (/.f64 K m)) (.f64 -1/4 (/.f64 K m)))) (*.f64 K m)))
(+.f64 (.f64 (pow.f64 n 3) (+.f64 (.f64 1/8 (/.f64 K (pow.f64 m 2))) (.f64 -1/8 (/.f64 K (pow.f64 m 2))))) (+.f64 (.f64 n K) (+.f64 (.f64 (pow.f64 n 2) (+.f64 (.f64 1/4 (/.f64 K m)) (.f64 -1/4 (/.f64 K m)))) (.f64 K m))))

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 -1/2 (.f64 (neg.f64 (sin.f64 M)) (.f64 K (+.f64 n m))) (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))))))
(+.f64 (cos.f64 M) (fma.f64 -1/8 (.f64 (cos.f64 M) (.f64 (.f64 K K) (pow.f64 (+.f64 n m) 2))) (.f64 -1/2 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (+.f64 n m))))))
(+.f64 (cos.f64 M) (fma.f64 -1/2 (.f64 (neg.f64 (sin.f64 M)) (.f64 K (+.f64 n m))) (.f64 (.f64 K (.f64 K (pow.f64 (+.f64 n m) 2))) (.f64 (cos.f64 M) -1/8))))
(+.f64 (cos.f64 M) (fma.f64 -1/2 (.f64 (neg.f64 (sin.f64 M)) (.f64 K (+.f64 n m))) (.f64 -1/8 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 (cos.f64 M) (.f64 K K))))))
(-.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 K (.f64 K (pow.f64 (+.f64 n m) 2)))) 1) (cos.f64 M)) (.f64 (.f64 -1/2 K) (*.f64 (+.f64 n m) (sin.f64 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)))))))
(+.f64 (cos.f64 M) (fma.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (sin.f64 (neg.f64 M)) (pow.f64 (+.f64 n m) 3))) (fma.f64 -1/8 (.f64 (cos.f64 M) (.f64 (.f64 K K) (pow.f64 (+.f64 n m) 2))) (.f64 -1/2 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (+.f64 n m)))))))
(+.f64 (fma.f64 (.f64 1/48 (pow.f64 K 3)) (.f64 (neg.f64 (sin.f64 M)) (pow.f64 (+.f64 n m) 3)) (.f64 (.f64 K (.f64 K (pow.f64 (+.f64 n m) 2))) (.f64 (cos.f64 M) -1/8))) (fma.f64 -1/2 (.f64 (neg.f64 (sin.f64 M)) (.f64 K (+.f64 n m))) (cos.f64 M)))
(+.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 K (.f64 K (pow.f64 (+.f64 n m) 2)))) 1) (cos.f64 M)) (.f64 (neg.f64 (sin.f64 M)) (+.f64 (.f64 (pow.f64 (+.f64 n m) 3) (.f64 1/48 (pow.f64 K 3))) (.f64 (+.f64 n m) (*.f64 -1/2 K)))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 K (+.f64 n m)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 K (+.f64 n m)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 K (+.f64 n m)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 K (+.f64 n m)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K n)) M))
(cos.f64 (fma.f64 1/2 (*.f64 K n) (neg.f64 M)))
(cos.f64 (fma.f64 n (*.f64 K 1/2) (neg.f64 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 (cos.f64 (-.f64 (.f64 1/2 (.f64 K n)) M)) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K n)) M)) (*.f64 K m))))
(fma.f64 -1/2 (.f64 K (.f64 m (sin.f64 (fma.f64 1/2 (.f64 K n) (neg.f64 M))))) (cos.f64 (fma.f64 1/2 (.f64 K n) (neg.f64 M))))
(fma.f64 -1/2 (.f64 K (.f64 m (sin.f64 (fma.f64 n (.f64 K 1/2) (neg.f64 M))))) (cos.f64 (fma.f64 n (.f64 K 1/2) (neg.f64 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)))))
(fma.f64 -1/8 (.f64 (.f64 K K) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K n)) M)) (.f64 m m))) (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K n)) M)) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K n)) M)) (*.f64 K m)))))
(fma.f64 -1/8 (.f64 (cos.f64 (fma.f64 1/2 (.f64 K n) (neg.f64 M))) (.f64 (.f64 m m) (.f64 K K))) (fma.f64 -1/2 (.f64 K (.f64 m (sin.f64 (fma.f64 1/2 (.f64 K n) (neg.f64 M))))) (cos.f64 (fma.f64 1/2 (*.f64 K n) (neg.f64 M)))))
(+.f64 (.f64 -1/2 (.f64 K (.f64 m (sin.f64 (fma.f64 n (.f64 K 1/2) (neg.f64 M)))))) (.f64 (+.f64 (.f64 (.f64 m m) (.f64 K (.f64 K -1/8))) 1) (cos.f64 (fma.f64 n (.f64 K 1/2) (neg.f64 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))))))
(fma.f64 -1/8 (.f64 (.f64 K K) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K n)) M)) (.f64 m m))) (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K n)) M)) (fma.f64 1/48 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K n)) M)) (.f64 (pow.f64 K 3) (pow.f64 m 3))) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K n)) M)) (*.f64 K m))))))
(+.f64 (fma.f64 -1/8 (.f64 (cos.f64 (fma.f64 1/2 (.f64 K n) (neg.f64 M))) (.f64 (.f64 m m) (.f64 K K))) (fma.f64 -1/2 (.f64 K (.f64 m (sin.f64 (fma.f64 1/2 (.f64 K n) (neg.f64 M))))) (cos.f64 (fma.f64 1/2 (.f64 K n) (neg.f64 M))))) (.f64 (sin.f64 (fma.f64 1/2 (.f64 K n) (neg.f64 M))) (.f64 (*.f64 (pow.f64 K 3) (pow.f64 m 3)) 1/48)))
(+.f64 (.f64 (sin.f64 (fma.f64 n (.f64 K 1/2) (neg.f64 M))) (+.f64 (.f64 -1/2 (.f64 K m)) (.f64 1/48 (.f64 (pow.f64 K 3) (pow.f64 m 3))))) (.f64 (+.f64 (.f64 (.f64 m m) (.f64 K (.f64 K -1/8))) 1) (cos.f64 (fma.f64 n (.f64 K 1/2) (neg.f64 M)))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 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)))
(fma.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)))
(fma.f64 -1/2 (.f64 K (.f64 n (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))) (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))
(fma.f64 -1/2 (.f64 (.f64 K n) (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))))
(fma.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))) (fma.f64 -1/8 (.f64 (.f64 n n) (.f64 (.f64 K K) (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))) (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))
(fma.f64 -1/2 (.f64 K (.f64 n (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))) (fma.f64 -1/8 (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 (.f64 K K) (.f64 n n))) (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))
(fma.f64 -1/2 (.f64 (.f64 K n) (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))) (.f64 (+.f64 (.f64 (.f64 K K) (.f64 -1/8 (.f64 n n))) 1) (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)))))
(fma.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))) (fma.f64 -1/8 (.f64 (.f64 n n) (.f64 (.f64 K K) (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))) (fma.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)))))
(fma.f64 -1/2 (.f64 K (.f64 n (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))) (fma.f64 -1/8 (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 (.f64 K K) (.f64 n n))) (fma.f64 1/48 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 (pow.f64 K 3) (pow.f64 n 3))) (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))))
(+.f64 (fma.f64 -1/2 (.f64 (.f64 K n) (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))) (.f64 (+.f64 (.f64 (.f64 K K) (.f64 -1/8 (.f64 n n))) 1) (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))) (.f64 (pow.f64 K 3) (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 1/48 (pow.f64 n 3)))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2)))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M) (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))))
(fma.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))))
(fma.f64 M (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))))
(+.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 -1/2 (.f64 (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))) (pow.f64 M 2)))))
(+.f64 (fma.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (*.f64 M M))))
(fma.f64 M (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (fma.f64 -1/2 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (.f64 M M)) (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2)))))
(fma.f64 M (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (.f64 (+.f64 (.f64 -1/2 (.f64 M M)) 1) (cos.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)))))
(+.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))))))
(+.f64 (fma.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))) (fma.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)))) (.f64 M M)))))
(+.f64 (fma.f64 M (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2)))) (fma.f64 -1/2 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (.f64 M M)) (.f64 (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (.f64 (pow.f64 M 3) -1/6))))
(+.f64 (fma.f64 M (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (.f64 (+.f64 (.f64 -1/2 (.f64 M M)) 1) (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))))) (.f64 (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (*.f64 -1/6 (pow.f64 M 3))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m)))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m)))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m)))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m)))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(sqrt.f64 (*.f64 n K))
(sqrt.f64 (*.f64 K n))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 K n)) m)) (sqrt.f64 (*.f64 n K)))
(fma.f64 1/2 (.f64 m (sqrt.f64 (/.f64 K n))) (sqrt.f64 (.f64 K n)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 K n)) m)) (+.f64 (sqrt.f64 (.f64 n K)) (.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 K (pow.f64 n 3))) (pow.f64 m 2)))))
(+.f64 (fma.f64 1/2 (.f64 m (sqrt.f64 (/.f64 K n))) (sqrt.f64 (.f64 K n))) (.f64 -1/8 (.f64 (*.f64 m m) (sqrt.f64 (/.f64 K (pow.f64 n 3))))))
(fma.f64 1/2 (.f64 m (sqrt.f64 (/.f64 K n))) (fma.f64 -1/8 (.f64 m (.f64 m (sqrt.f64 (/.f64 K (pow.f64 n 3))))) (sqrt.f64 (.f64 K n))))
(+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 K (pow.f64 n 5))) (pow.f64 m 3))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 K n)) m)) (+.f64 (sqrt.f64 (.f64 n K)) (.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 K (pow.f64 n 3))) (pow.f64 m 2))))))
(fma.f64 1/16 (.f64 (pow.f64 m 3) (sqrt.f64 (/.f64 K (pow.f64 n 5)))) (+.f64 (fma.f64 1/2 (.f64 m (sqrt.f64 (/.f64 K n))) (sqrt.f64 (.f64 K n))) (.f64 -1/8 (.f64 (.f64 m m) (sqrt.f64 (/.f64 K (pow.f64 n 3)))))))
(fma.f64 1/16 (.f64 (pow.f64 m 3) (sqrt.f64 (/.f64 K (pow.f64 n 5)))) (fma.f64 1/2 (.f64 m (sqrt.f64 (/.f64 K n))) (fma.f64 -1/8 (.f64 m (.f64 m (sqrt.f64 (/.f64 K (pow.f64 n 3))))) (sqrt.f64 (*.f64 K n)))))
(sqrt.f64 (*.f64 K m))
(+.f64 (sqrt.f64 (.f64 K m)) (.f64 1/2 (*.f64 n (sqrt.f64 (/.f64 K m)))))
(fma.f64 1/2 (.f64 n (sqrt.f64 (/.f64 K m))) (sqrt.f64 (.f64 K m)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (sqrt.f64 (/.f64 K (pow.f64 m 3))))) (+.f64 (sqrt.f64 (.f64 K m)) (.f64 1/2 (*.f64 n (sqrt.f64 (/.f64 K m))))))
(fma.f64 -1/8 (.f64 (.f64 n n) (sqrt.f64 (/.f64 K (pow.f64 m 3)))) (+.f64 (sqrt.f64 (.f64 K m)) (.f64 1/2 (*.f64 n (sqrt.f64 (/.f64 K m))))))
(fma.f64 -1/8 (.f64 n (.f64 n (sqrt.f64 (/.f64 K (pow.f64 m 3))))) (fma.f64 1/2 (.f64 n (sqrt.f64 (/.f64 K m))) (sqrt.f64 (.f64 K m))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (sqrt.f64 (/.f64 K (pow.f64 m 3))))) (+.f64 (sqrt.f64 (.f64 K m)) (+.f64 (.f64 1/2 (.f64 n (sqrt.f64 (/.f64 K m)))) (.f64 1/16 (*.f64 (pow.f64 n 3) (sqrt.f64 (/.f64 K (pow.f64 m 5))))))))
(fma.f64 -1/8 (.f64 (.f64 n n) (sqrt.f64 (/.f64 K (pow.f64 m 3)))) (+.f64 (sqrt.f64 (.f64 K m)) (fma.f64 1/2 (.f64 n (sqrt.f64 (/.f64 K m))) (.f64 1/16 (.f64 (pow.f64 n 3) (sqrt.f64 (/.f64 K (pow.f64 m 5))))))))
(+.f64 (fma.f64 -1/8 (.f64 n (.f64 n (sqrt.f64 (/.f64 K (pow.f64 m 3))))) (fma.f64 1/2 (.f64 n (sqrt.f64 (/.f64 K m))) (sqrt.f64 (.f64 K m)))) (.f64 (sqrt.f64 (/.f64 K (pow.f64 m 5))) (.f64 (pow.f64 n 3) 1/16)))
(+.f64 (fma.f64 -1/8 (.f64 n (.f64 n (sqrt.f64 (/.f64 K (pow.f64 m 3))))) (fma.f64 1/2 (.f64 n (sqrt.f64 (/.f64 K m))) (sqrt.f64 (.f64 K m)))) (.f64 (pow.f64 n 3) (.f64 1/16 (sqrt.f64 (/.f64 K (pow.f64 m 5))))))
(*.f64 n K)
(*.f64 K n)
(+.f64 (.f64 n K) (.f64 K m))
(*.f64 K (+.f64 n m))
(+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 K n)) (.f64 -1/4 (/.f64 K n))) (pow.f64 m 2)) (+.f64 (.f64 n K) (*.f64 K m)))
(*.f64 K (+.f64 n m))
(+.f64 (.f64 (+.f64 (.f64 1/4 (/.f64 K n)) (.f64 -1/4 (/.f64 K n))) (pow.f64 m 2)) (+.f64 (.f64 (+.f64 (.f64 -1/8 (/.f64 K (pow.f64 n 2))) (.f64 1/8 (/.f64 K (pow.f64 n 2)))) (pow.f64 m 3)) (+.f64 (.f64 n K) (.f64 K m))))
(*.f64 K (+.f64 n m))
(*.f64 K m)
(+.f64 (.f64 n K) (.f64 K m))
(*.f64 K (+.f64 n m))
(+.f64 (.f64 n K) (+.f64 (.f64 (pow.f64 n 2) (+.f64 (.f64 1/4 (/.f64 K m)) (.f64 -1/4 (/.f64 K m)))) (*.f64 K m)))
(*.f64 K (+.f64 n m))
(+.f64 (.f64 (pow.f64 n 3) (+.f64 (.f64 1/8 (/.f64 K (pow.f64 m 2))) (.f64 -1/8 (/.f64 K (pow.f64 m 2))))) (+.f64 (.f64 n K) (+.f64 (.f64 (pow.f64 n 2) (+.f64 (.f64 1/4 (/.f64 K m)) (.f64 -1/4 (/.f64 K m)))) (.f64 K m))))
(*.f64 K (+.f64 n m))

localize67.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 K (*.f64 (+.f64 m n) 1/2) (neg.f64 M))
✓	0.1b	(exp.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) 1/2) (neg.f64 M))))
✓	0.5b	(log.f64 (exp.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) 1/2) (neg.f64 M)))))
✓	35.8b	(cos.f64 (fma.f64 K (*.f64 (+.f64 m n) 1/2) (neg.f64 M)))

Compiler

Compiled 174 to 78 computations (55.2% saved)

series40.0ms (0.4%)

Counts

4 → 192

Calls

48 calls:

Time	Variable		Point	Expression
4.0ms	m	@	0	(exp.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) 1/2) (neg.f64 M))))
3.0ms	n	@	0	(exp.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) 1/2) (neg.f64 M))))
2.0ms	M	@	0	(exp.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) 1/2) (neg.f64 M))))
2.0ms	K	@	0	(exp.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) 1/2) (neg.f64 M))))
2.0ms	n	@	-inf	(fma.f64 K (*.f64 (+.f64 m n) 1/2) (neg.f64 M))

rewrite112.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

653×	`prod-diff_binary64`
532×	`log-prod_binary64`
303×	`pow2_binary64`
230×	`fma-def_binary64`
211×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	60
1	252	52
2	3178	52

Stop Event

1×	node limit

Counts

4 → 202

Calls

Call 1

Inputs
(cos.f64 (fma.f64 K (*.f64 (+.f64 m n) 1/2) (neg.f64 M)))
(log.f64 (exp.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) 1/2) (neg.f64 M)))))
(exp.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) 1/2) (neg.f64 M))))
(fma.f64 K (*.f64 (+.f64 m n) 1/2) (neg.f64 M))

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

simplify148.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

567×	`distribute-lft-in_binary64`
567×	`distribute-rgt-in_binary64`
554×	`unsub-neg_binary64`
361×	`neg-sub0_binary64`
357×	`neg-mul-1_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	230	4876
1	730	4733
2	2602	4452
3	7080	4444

Stop Event

1×	node limit

Counts

394 → 258

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)))
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(-.f64 (.f64 1/2 (.f64 n K)) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(.f64 1/2 (.f64 K m))
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(.f64 1/2 (.f64 K m))
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (.f64 1/2 (.f64 K m)) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(.f64 1/2 (.f64 n K))
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(.f64 1/2 (.f64 n K))
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(.f64 1/2 (.f64 K (+.f64 n m)))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(*.f64 -1 M)
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(*.f64 -1 M)
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))

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

localize70.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 K (*.f64 (+.f64 m n) 1/2) (neg.f64 M))
✓	0.1b	(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) 1/2) (neg.f64 M))) 2))
✓	0.5b	(pow.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) 1/2) (neg.f64 M))) 2)
	35.8b	(cos.f64 (fma.f64 K (*.f64 (+.f64 m n) 1/2) (neg.f64 M)))

Compiler

Compiled 177 to 81 computations (54.2% saved)

series15.0ms (0.1%)

Counts

2 → 96

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	M	@	-inf	(pow.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) 1/2) (neg.f64 M))) 2)
1.0ms	K	@	0	(pow.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) 1/2) (neg.f64 M))) 2)
1.0ms	m	@	0	(pow.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) 1/2) (neg.f64 M))) 2)
1.0ms	n	@	0	(pow.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) 1/2) (neg.f64 M))) 2)
1.0ms	M	@	0	(pow.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) 1/2) (neg.f64 M))) 2)

rewrite74.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

653×	`prod-diff_binary64`
552×	`log-prod_binary64`
320×	`pow2_binary64`
236×	`fma-def_binary64`
224×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	33
1	294	29
2	3404	29

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

Inputs
(pow.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) 1/2) (neg.f64 M))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) 1/2) (neg.f64 M))) 2))

Outputs

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

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

simplify104.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

581×	`unsub-neg_binary64`
427×	`fma-neg_binary64`
345×	`neg-sub0_binary64`
337×	`associate-+l+_binary64`
333×	`neg-mul-1_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	197	2849
1	650	2814
2	2341	2698
3	6311	2696

Stop Event

1×	node limit

Counts

153 → 131

Calls

Call 1

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

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

eval680.0ms (6.2%)

Compiler: Compiled 39558 to 20323 computations (48.6% saved)

prune197.0ms (1.8%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	885	17	902
Fresh	4	3	7
Picked	1	0	1
Done	3	1	4
Total	893	21	914

Error

1.3b

Counts

914 → 21

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.1b	(.f64 (cos.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 (cbrt.f64 K) 2) (.f64 (cbrt.f64 K) n) (*.f64 K m)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	43.2b	(.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 K (+.f64 m n)) 3/2) 1/3) 2) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	36.3b	(.f64 (sqrt.f64 (pow.f64 (+.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))))) 2)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	16.3b	(.f64 (sqrt.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 M)) 2)))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	44.6b	(.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (pow.f64 (.f64 K (+.f64 m n)) 3) 1/3) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	36.3b	(.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 -1/2 (.f64 K (.f64 m (sin.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))))) (.f64 (+.f64 (.f64 (.f64 -1/8 (.f64 K K)) (.f64 m m)) 1) (cos.f64 (-.f64 (.f64 K (*.f64 n 1/2)) M)))) 2)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	53.9b	(.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 (fma.f64 (.f64 K (sqrt.f64 (.f64 (+.f64 m n) 1/2))) (sqrt.f64 (.f64 (+.f64 m n) 1/2)) (neg.f64 (.f64 (sqrt.f64 M) (.f64 -1 (sqrt.f64 M))))) (fma.f64 (neg.f64 (sqrt.f64 M)) (.f64 -1 (sqrt.f64 M)) (.f64 (sqrt.f64 M) (*.f64 -1 (sqrt.f64 M)))))) 2)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	16.2b	(.f64 (sqrt.f64 (log.f64 (exp.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)) 2)))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	9.4b	(.f64 (cos.f64 (.f64 K (*.f64 n 1/2))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	16.0b	(.f64 (-.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))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	16.0b	(.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 m n) 1/2)) M))) 3) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	16.0b	(.f64 (log.f64 (exp.f64 (.f64 (pow.f64 (cbrt.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)))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	9.4b	(.f64 (sqrt.f64 (pow.f64 (cos.f64 (.f64 K (*.f64 n 1/2))) 2)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	10.8b	(.f64 (log1p.f64 (expm1.f64 (cos.f64 (.f64 K (*.f64 m 1/2))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	9.4b	(.f64 (log.f64 (exp.f64 (cos.f64 (.f64 K (*.f64 n 1/2))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
✓	10.8b	(.f64 (cos.f64 (.f64 K (*.f64 m 1/2))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	16.2b	(.f64 (sqrt.f64 (pow.f64 (.f64 3 (.f64 1/3 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)))) 2)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	16.0b	(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))) 2) (cbrt.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	10.8b	(.f64 (log.f64 (exp.f64 (cos.f64 (.f64 K (*.f64 m 1/2))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	23.8b	(.f64 (sqrt.f64 (pow.f64 (+.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)))) 2)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	1.7b	(*.f64 1 (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))

Compiler

Compiled 1764 to 1240 computations (29.7% saved)

localize34.0ms (0.3%)

Compiler: Compiled 113 to 52 computations (54% saved)

localize44.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (cos.f64 (.f64 K (*.f64 n 1/2))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
✓	28.6b	(cos.f64 (.f64 K (.f64 n 1/2)))

Compiler

Compiled 133 to 64 computations (51.9% saved)

series33.0ms (0.3%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
7.0ms	m	@	inf	(.f64 (cos.f64 (.f64 K (*.f64 n 1/2))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
5.0ms	K	@	-inf	(.f64 (cos.f64 (.f64 K (*.f64 n 1/2))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
3.0ms	M	@	0	(.f64 (cos.f64 (.f64 K (*.f64 n 1/2))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
2.0ms	M	@	-inf	(.f64 (cos.f64 (.f64 K (*.f64 n 1/2))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
2.0ms	n	@	0	(.f64 (cos.f64 (.f64 K (*.f64 n 1/2))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))

rewrite79.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

423×	`log1p-udef_binary64`
263×	`add-sqr-sqrt_binary64`
256×	`pow1_binary64`
255×	`*-un-lft-identity_binary64`
246×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	48
1	502	44
2	7295	44

Stop Event

1×	node limit

Counts

2 → 35

Calls

Call 1

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

Outputs

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

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

simplify115.0ms (1%)

Algorithm

1×	egg-herbie

Rules

443×	`distribute-rgt-in_binary64`
434×	`distribute-lft-in_binary64`
379×	`fma-neg_binary64`
334×	`associate-*l/_binary64`
296×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	209	3762
1	672	3525
2	2261	3165
3	7505	3165

Stop Event

1×	node limit

Counts

119 → 90

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 -1/8 (.f64 (pow.f64 n 2) (pow.f64 K 2))))
(+.f64 1 (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (pow.f64 K 2))) (.f64 1/384 (.f64 (pow.f64 n 4) (pow.f64 K 4)))))
(+.f64 1 (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (pow.f64 K 2))) (+.f64 (.f64 -1/46080 (.f64 (pow.f64 n 6) (pow.f64 K 6))) (.f64 1/384 (.f64 (pow.f64 n 4) (pow.f64 K 4))))))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 1/2 (.f64 n K)))
1
(+.f64 1 (.f64 -1/8 (.f64 (pow.f64 n 2) (pow.f64 K 2))))
(+.f64 1 (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (pow.f64 K 2))) (.f64 1/384 (.f64 (pow.f64 n 4) (pow.f64 K 4)))))
(+.f64 1 (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (pow.f64 K 2))) (+.f64 (.f64 -1/46080 (.f64 (pow.f64 n 6) (pow.f64 K 6))) (.f64 1/384 (.f64 (pow.f64 n 4) (pow.f64 K 4))))))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (pow.f64 K 2) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (pow.f64 K 2) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))))) (+.f64 (.f64 1/384 (.f64 (pow.f64 n 4) (.f64 (pow.f64 K 4) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (pow.f64 K 2) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))))) (+.f64 (.f64 -1/46080 (.f64 (pow.f64 n 6) (.f64 (pow.f64 K 6) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))))) (+.f64 (.f64 1/384 (.f64 (pow.f64 n 4) (.f64 (pow.f64 K 4) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)))))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 m) M) 2) l)))
(+.f64 (.f64 (-.f64 M (.f64 1/2 m)) (.f64 n (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 m) M) 2) l))))
(+.f64 (.f64 (pow.f64 n 2) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.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) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l)))))) (+.f64 (.f64 (-.f64 M (.f64 1/2 m)) (.f64 n (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 m) M) 2) l)))))
(+.f64 (.f64 (pow.f64 n 2) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.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) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l)))))) (+.f64 (.f64 (pow.f64 n 3) (+.f64 (.f64 (+.f64 (.f64 -1/4 (-.f64 M (.f64 1/2 m))) (.f64 1/6 (pow.f64 (-.f64 M (.f64 1/2 m)) 3))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l)))) (.f64 -1/8 (.f64 (-.f64 M (.f64 1/2 m)) (.f64 (pow.f64 K 2) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l)))))))) (+.f64 (.f64 (-.f64 M (.f64 1/2 m)) (.f64 n (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 m) M) 2) l))))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (+.f64 (.f64 -1 n) m)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (-.f64 m (.f64 -1 n))) M) 2) l))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (+.f64 (.f64 -1 n) m)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (-.f64 m (.f64 -1 n))) M) 2) l))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (+.f64 (.f64 -1 n) m)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (-.f64 m (.f64 -1 n))) M) 2) l))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (+.f64 (.f64 -1 n) m)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (-.f64 m (.f64 -1 n))) M) 2) l))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 (-.f64 M (.f64 1/2 n)) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))) m))) (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 n) M) 2))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.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) (pow.f64 m 2)))) (+.f64 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 (-.f64 M (.f64 1/2 n)) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))) m))) (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 n) M) 2)))))))
(+.f64 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.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) (pow.f64 m 2)))) (+.f64 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 (-.f64 M (.f64 1/2 n)) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))) m))) (+.f64 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))) (.f64 (+.f64 (.f64 -1/4 (-.f64 M (.f64 1/2 n))) (.f64 1/6 (pow.f64 (-.f64 M (.f64 1/2 n)) 3))) (pow.f64 m 3)))) (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 n) M) 2))))))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m)))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (-.f64 n (.f64 -1 m))) M) 2) l))) (cos.f64 (.f64 1/2 (.f64 n K))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m)))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (-.f64 n (.f64 -1 m))) M) 2) l))) (cos.f64 (.f64 1/2 (.f64 n K))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m)))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (-.f64 n (.f64 -1 m))) M) 2) l))) (cos.f64 (.f64 1/2 (.f64 n K))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m)))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (-.f64 n (.f64 -1 m))) M) 2) l))) (cos.f64 (.f64 1/2 (.f64 n K))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2))))) (cos.f64 (.f64 1/2 (.f64 n K))))
(+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2))))) (cos.f64 (.f64 1/2 (.f64 n K)))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2))))) (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 (+.f64 n m) M))))
(+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2))))) (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 (-.f64 (.f64 1/2 (pow.f64 (+.f64 n m) 2)) 1) (pow.f64 M 2)))) (+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2))))) (cos.f64 (.f64 1/2 (.f64 n K)))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2))))) (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (*.f64 (+.f64 n m) M)))))
(+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2))))) (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 (-.f64 (.f64 1/2 (pow.f64 (+.f64 n m) 2)) 1) (pow.f64 M 2)))) (+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2))))) (cos.f64 (.f64 1/2 (.f64 n K)))) (+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2))))) (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 (+.f64 (.f64 1/6 (pow.f64 (+.f64 n m) 3)) (.f64 -1 (+.f64 n m))) (pow.f64 M 3)))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2))))) (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (*.f64 (+.f64 n m) M))))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (+.f64 (.f64 1/2 (+.f64 n m)) (*.f64 -1 M)) 2) l))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (+.f64 (.f64 1/2 (+.f64 n m)) (*.f64 -1 M)) 2) l))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (+.f64 (.f64 1/2 (+.f64 n m)) (*.f64 -1 M)) 2) l))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (+.f64 (.f64 1/2 (+.f64 n m)) (*.f64 -1 M)) 2) l))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (cos.f64 (.f64 1/2 (.f64 n K))))
(+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (cos.f64 (.f64 1/2 (.f64 n K)))) (.f64 -1 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) l))))
(+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (cos.f64 (.f64 1/2 (.f64 n K)))) (+.f64 (.f64 1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (pow.f64 l 2)))) (.f64 -1 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) l)))))
(+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (cos.f64 (.f64 1/2 (.f64 n K)))) (+.f64 (.f64 -1/6 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (pow.f64 l 3)))) (+.f64 (.f64 1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (pow.f64 l 2)))) (.f64 -1 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) l))))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))

Outputs
1
(+.f64 1 (.f64 -1/8 (.f64 (pow.f64 n 2) (pow.f64 K 2))))
(+.f64 1 (.f64 -1/8 (.f64 (.f64 n n) (.f64 K K))))
(fma.f64 -1/8 (.f64 (.f64 n n) (*.f64 K K)) 1)
(fma.f64 -1/8 (.f64 (.f64 n K) (*.f64 n K)) 1)
(+.f64 1 (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (pow.f64 K 2))) (.f64 1/384 (.f64 (pow.f64 n 4) (pow.f64 K 4)))))
(+.f64 1 (fma.f64 -1/8 (.f64 (.f64 n n) (.f64 K K)) (.f64 1/384 (*.f64 (pow.f64 n 4) (pow.f64 K 4)))))
(+.f64 (fma.f64 -1/8 (.f64 (.f64 n n) (.f64 K K)) 1) (.f64 1/384 (*.f64 (pow.f64 n 4) (pow.f64 K 4))))
(+.f64 1 (fma.f64 1/384 (.f64 (pow.f64 n 4) (pow.f64 K 4)) (.f64 -1/8 (.f64 (.f64 n K) (*.f64 n K)))))
(+.f64 1 (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (pow.f64 K 2))) (+.f64 (.f64 -1/46080 (.f64 (pow.f64 n 6) (pow.f64 K 6))) (.f64 1/384 (.f64 (pow.f64 n 4) (pow.f64 K 4))))))
(+.f64 1 (fma.f64 -1/8 (.f64 (.f64 n n) (.f64 K K)) (fma.f64 -1/46080 (.f64 (pow.f64 n 6) (pow.f64 K 6)) (.f64 1/384 (.f64 (pow.f64 n 4) (pow.f64 K 4))))))
(+.f64 (fma.f64 -1/8 (.f64 (.f64 n n) (.f64 K K)) 1) (fma.f64 1/384 (.f64 (pow.f64 n 4) (pow.f64 K 4)) (.f64 -1/46080 (.f64 (pow.f64 n 6) (pow.f64 K 6)))))
(+.f64 (fma.f64 -1/8 (.f64 (.f64 n K) (.f64 n K)) 1) (fma.f64 1/384 (.f64 (pow.f64 n 4) (pow.f64 K 4)) (.f64 -1/46080 (.f64 (pow.f64 n 6) (pow.f64 K 6)))))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 n (.f64 K 1/2)))
1
(+.f64 1 (.f64 -1/8 (.f64 (pow.f64 n 2) (pow.f64 K 2))))
(+.f64 1 (.f64 -1/8 (.f64 (.f64 n n) (.f64 K K))))
(fma.f64 -1/8 (.f64 (.f64 n n) (*.f64 K K)) 1)
(fma.f64 -1/8 (.f64 (.f64 n K) (*.f64 n K)) 1)
(+.f64 1 (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (pow.f64 K 2))) (.f64 1/384 (.f64 (pow.f64 n 4) (pow.f64 K 4)))))
(+.f64 1 (fma.f64 -1/8 (.f64 (.f64 n n) (.f64 K K)) (.f64 1/384 (*.f64 (pow.f64 n 4) (pow.f64 K 4)))))
(+.f64 (fma.f64 -1/8 (.f64 (.f64 n n) (.f64 K K)) 1) (.f64 1/384 (*.f64 (pow.f64 n 4) (pow.f64 K 4))))
(+.f64 1 (fma.f64 1/384 (.f64 (pow.f64 n 4) (pow.f64 K 4)) (.f64 -1/8 (.f64 (.f64 n K) (*.f64 n K)))))
(+.f64 1 (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (pow.f64 K 2))) (+.f64 (.f64 -1/46080 (.f64 (pow.f64 n 6) (pow.f64 K 6))) (.f64 1/384 (.f64 (pow.f64 n 4) (pow.f64 K 4))))))
(+.f64 1 (fma.f64 -1/8 (.f64 (.f64 n n) (.f64 K K)) (fma.f64 -1/46080 (.f64 (pow.f64 n 6) (pow.f64 K 6)) (.f64 1/384 (.f64 (pow.f64 n 4) (pow.f64 K 4))))))
(+.f64 (fma.f64 -1/8 (.f64 (.f64 n n) (.f64 K K)) 1) (fma.f64 1/384 (.f64 (pow.f64 n 4) (pow.f64 K 4)) (.f64 -1/46080 (.f64 (pow.f64 n 6) (pow.f64 K 6)))))
(+.f64 (fma.f64 -1/8 (.f64 (.f64 n K) (.f64 n K)) 1) (fma.f64 1/384 (.f64 (pow.f64 n 4) (pow.f64 K 4)) (.f64 -1/46080 (.f64 (pow.f64 n 6) (pow.f64 K 6)))))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)) l))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (pow.f64 K 2) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)))))
(fma.f64 -1/8 (.f64 (.f64 n n) (.f64 (.f64 K K) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(fma.f64 -1/8 (.f64 (.f64 (.f64 n n) (.f64 K K)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (fma.f64 -1/8 (.f64 (.f64 n K) (.f64 n K)) 1) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)) l)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (pow.f64 K 2) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))))) (+.f64 (.f64 1/384 (.f64 (pow.f64 n 4) (.f64 (pow.f64 K 4) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))))
(fma.f64 -1/8 (.f64 (.f64 n n) (.f64 (.f64 K K) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))) (fma.f64 1/384 (.f64 (pow.f64 n 4) (.f64 (pow.f64 K 4) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))))
(fma.f64 -1/8 (.f64 (.f64 (.f64 n n) (.f64 K K)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (fma.f64 1/384 (.f64 (pow.f64 n 4) (.f64 (pow.f64 K 4) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)))))
(+.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)) l)) (.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)) l)) (fma.f64 1/384 (.f64 (pow.f64 n 4) (pow.f64 K 4)) (.f64 -1/8 (.f64 (.f64 n K) (.f64 n K))))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (pow.f64 K 2) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))))) (+.f64 (.f64 -1/46080 (.f64 (pow.f64 n 6) (.f64 (pow.f64 K 6) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))))) (+.f64 (.f64 1/384 (.f64 (pow.f64 n 4) (.f64 (pow.f64 K 4) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)))))))
(fma.f64 -1/8 (.f64 (.f64 n n) (.f64 (.f64 K K) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))) (fma.f64 -1/46080 (.f64 (.f64 (pow.f64 n 6) (pow.f64 K 6)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))) (fma.f64 1/384 (.f64 (pow.f64 n 4) (.f64 (pow.f64 K 4) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))))
(fma.f64 -1/8 (.f64 (.f64 (.f64 n n) (.f64 K K)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (fma.f64 -1/46080 (.f64 (pow.f64 K 6) (.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (pow.f64 n 6))) (fma.f64 1/384 (.f64 (pow.f64 n 4) (.f64 (pow.f64 K 4) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))))
(+.f64 (.f64 (fma.f64 -1/8 (.f64 (.f64 n K) (.f64 n K)) 1) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)) l))) (.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)) l)) (fma.f64 1/384 (.f64 (pow.f64 n 4) (pow.f64 K 4)) (.f64 -1/46080 (.f64 (pow.f64 n 6) (pow.f64 K 6))))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
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(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)) l)))
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(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)) l)))
(/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2) (-.f64 (fabs.f64 (-.f64 n m)) l))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)) l)))
(/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2) (-.f64 (fabs.f64 (-.f64 n m)) l))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)) l)))
(/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2) (-.f64 (fabs.f64 (-.f64 n m)) l))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)) l)))
(/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2) (-.f64 (fabs.f64 (-.f64 n m)) l))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)) l)))
(/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2) (-.f64 (fabs.f64 (-.f64 n m)) l))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)) l)))
(/.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2) (-.f64 (fabs.f64 (-.f64 n m)) l))))

localize56.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (sqrt.f64 (pow.f64 (cos.f64 (.f64 K (*.f64 n 1/2))) 2)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
✓	0.1b	(sqrt.f64 (pow.f64 (cos.f64 (.f64 K (.f64 n 1/2))) 2))
✓	0.3b	(pow.f64 (cos.f64 (.f64 K (.f64 n 1/2))) 2)
	28.6b	(cos.f64 (.f64 K (.f64 n 1/2)))

Compiler

Compiled 153 to 80 computations (47.7% saved)

series13.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

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

rewrite91.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

435×	`log1p-udef_binary64`
272×	`add-sqr-sqrt_binary64`
266×	`pow1_binary64`
264×	`*-un-lft-identity_binary64`
255×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	60
1	544	56
2	7526	56

Stop Event

1×	node limit

Counts

3 → 61

Calls

Call 1

Inputs

(pow.f64 (cos.f64 (*.f64 K (*.f64 n 1/2))) 2)

(sqrt.f64 (pow.f64 (cos.f64 (*.f64 K (*.f64 n 1/2))) 2))

(*.f64 (sqrt.f64 (pow.f64 (cos.f64 (*.f64 K (*.f64 n 1/2))) 2)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))

Outputs

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

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

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

simplify87.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

459×	`distribute-rgt-in_binary64`
450×	`distribute-lft-in_binary64`
334×	`associate-*l/_binary64`
332×	`associate-+l+_binary64`
296×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	241	4126
1	775	3881
2	2627	3521

Stop Event

1×	node limit

Counts

169 → 126

Calls

Call 1

Inputs
1
(+.f64 (.f64 -1/4 (.f64 (pow.f64 n 2) (pow.f64 K 2))) 1)
(+.f64 (.f64 -1/4 (.f64 (pow.f64 n 2) (pow.f64 K 2))) (+.f64 1 (.f64 (pow.f64 K 4) (+.f64 (.f64 1/192 (pow.f64 n 4)) (*.f64 1/64 (pow.f64 n 4))))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 n 2) (pow.f64 K 2))) (+.f64 (.f64 (+.f64 (.f64 -1/1536 (pow.f64 n 6)) (.f64 -1/23040 (pow.f64 n 6))) (pow.f64 K 6)) (+.f64 1 (.f64 (pow.f64 K 4) (+.f64 (.f64 1/192 (pow.f64 n 4)) (.f64 1/64 (pow.f64 n 4)))))))
(pow.f64 (cos.f64 (.f64 1/2 (.f64 n K))) 2)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 n K))) 2)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 n K))) 2)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 n K))) 2)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 n K))) 2)
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1
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(+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (cos.f64 (.f64 1/2 (.f64 n K)))) (.f64 -1 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) l))))
(+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (cos.f64 (.f64 1/2 (.f64 n K)))) (+.f64 (.f64 1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (pow.f64 l 2)))) (.f64 -1 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) l)))))
(+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (cos.f64 (.f64 1/2 (.f64 n K)))) (+.f64 (.f64 -1/6 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (pow.f64 l 3)))) (+.f64 (.f64 1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (pow.f64 l 2)))) (.f64 -1 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) l))))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))

Outputs
1
(+.f64 (.f64 -1/4 (.f64 (pow.f64 n 2) (pow.f64 K 2))) 1)
(fma.f64 -1/4 (.f64 (.f64 n n) (*.f64 K K)) 1)
(fma.f64 -1/4 (.f64 n (.f64 n (*.f64 K K))) 1)
(+.f64 (.f64 -1/4 (.f64 (pow.f64 n 2) (pow.f64 K 2))) (+.f64 1 (.f64 (pow.f64 K 4) (+.f64 (.f64 1/192 (pow.f64 n 4)) (*.f64 1/64 (pow.f64 n 4))))))
(+.f64 (fma.f64 -1/4 (.f64 (.f64 n n) (.f64 K K)) 1) (.f64 (pow.f64 K 4) (*.f64 (pow.f64 n 4) 1/48)))
(fma.f64 -1/4 (.f64 n (.f64 n (.f64 K K))) (fma.f64 (pow.f64 K 4) (.f64 (pow.f64 n 4) 1/48) 1))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 n 2) (pow.f64 K 2))) (+.f64 (.f64 (+.f64 (.f64 -1/1536 (pow.f64 n 6)) (.f64 -1/23040 (pow.f64 n 6))) (pow.f64 K 6)) (+.f64 1 (.f64 (pow.f64 K 4) (+.f64 (.f64 1/192 (pow.f64 n 4)) (.f64 1/64 (pow.f64 n 4)))))))
(fma.f64 -1/4 (.f64 (.f64 n n) (.f64 K K)) (fma.f64 (.f64 (pow.f64 n 6) -1/1440) (pow.f64 K 6) (+.f64 1 (.f64 (pow.f64 K 4) (.f64 (pow.f64 n 4) 1/48)))))
(fma.f64 -1/4 (.f64 n (.f64 n (.f64 K K))) (fma.f64 (.f64 (pow.f64 n 6) -1/1440) (pow.f64 K 6) (fma.f64 (pow.f64 K 4) (*.f64 (pow.f64 n 4) 1/48) 1)))
(pow.f64 (cos.f64 (.f64 1/2 (.f64 n K))) 2)
(pow.f64 (cos.f64 (.f64 n (.f64 K 1/2))) 2)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 n K))) 2)
(pow.f64 (cos.f64 (.f64 n (.f64 K 1/2))) 2)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 n K))) 2)
(pow.f64 (cos.f64 (.f64 n (.f64 K 1/2))) 2)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 n K))) 2)
(pow.f64 (cos.f64 (.f64 n (.f64 K 1/2))) 2)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 n K))) 2)
(pow.f64 (cos.f64 (.f64 n (.f64 K 1/2))) 2)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 n K))) 2)
(pow.f64 (cos.f64 (.f64 n (.f64 K 1/2))) 2)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 n K))) 2)
(pow.f64 (cos.f64 (.f64 n (.f64 K 1/2))) 2)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 n K))) 2)
(pow.f64 (cos.f64 (.f64 n (.f64 K 1/2))) 2)
1
(+.f64 (.f64 -1/4 (.f64 (pow.f64 n 2) (pow.f64 K 2))) 1)
(fma.f64 -1/4 (.f64 (.f64 n n) (*.f64 K K)) 1)
(fma.f64 -1/4 (.f64 n (.f64 n (*.f64 K K))) 1)
(+.f64 (.f64 -1/4 (.f64 (pow.f64 n 2) (pow.f64 K 2))) (+.f64 1 (.f64 (+.f64 (.f64 1/192 (pow.f64 K 4)) (*.f64 1/64 (pow.f64 K 4))) (pow.f64 n 4))))
(+.f64 (fma.f64 -1/4 (.f64 (.f64 n n) (.f64 K K)) 1) (.f64 (pow.f64 K 4) (*.f64 (pow.f64 n 4) 1/48)))
(fma.f64 -1/4 (.f64 n (.f64 n (.f64 K K))) (fma.f64 (pow.f64 K 4) (.f64 (pow.f64 n 4) 1/48) 1))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 n 2) (pow.f64 K 2))) (+.f64 1 (+.f64 (.f64 (+.f64 (.f64 1/192 (pow.f64 K 4)) (.f64 1/64 (pow.f64 K 4))) (pow.f64 n 4)) (.f64 (pow.f64 n 6) (+.f64 (.f64 -1/1536 (pow.f64 K 6)) (.f64 -1/23040 (pow.f64 K 6)))))))
(fma.f64 -1/4 (.f64 (.f64 n n) (.f64 K K)) (fma.f64 (.f64 (pow.f64 n 6) -1/1440) (pow.f64 K 6) (+.f64 1 (.f64 (pow.f64 K 4) (.f64 (pow.f64 n 4) 1/48)))))
(fma.f64 -1/4 (.f64 n (.f64 n (.f64 K K))) (fma.f64 (.f64 (pow.f64 n 6) -1/1440) (pow.f64 K 6) (fma.f64 (pow.f64 K 4) (*.f64 (pow.f64 n 4) 1/48) 1)))
(pow.f64 (cos.f64 (.f64 1/2 (.f64 n K))) 2)
(pow.f64 (cos.f64 (.f64 n (.f64 K 1/2))) 2)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 n K))) 2)
(pow.f64 (cos.f64 (.f64 n (.f64 K 1/2))) 2)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 n K))) 2)
(pow.f64 (cos.f64 (.f64 n (.f64 K 1/2))) 2)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 n K))) 2)
(pow.f64 (cos.f64 (.f64 n (.f64 K 1/2))) 2)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 n K))) 2)
(pow.f64 (cos.f64 (.f64 n (.f64 K 1/2))) 2)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 n K))) 2)
(pow.f64 (cos.f64 (.f64 n (.f64 K 1/2))) 2)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 n K))) 2)
(pow.f64 (cos.f64 (.f64 n (.f64 K 1/2))) 2)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 n K))) 2)
(pow.f64 (cos.f64 (.f64 n (.f64 K 1/2))) 2)
1
(+.f64 1 (.f64 -1/8 (.f64 (pow.f64 n 2) (pow.f64 K 2))))
(+.f64 1 (.f64 (.f64 (.f64 n n) (.f64 K K)) -1/8))
(fma.f64 (.f64 n (.f64 n (*.f64 K K))) -1/8 1)
(fma.f64 (.f64 (.f64 n n) -1/8) (*.f64 K K) 1)
(+.f64 1 (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (pow.f64 K 2))) (.f64 1/384 (.f64 (pow.f64 n 4) (pow.f64 K 4)))))
(+.f64 1 (fma.f64 -1/8 (.f64 (.f64 n n) (.f64 K K)) (.f64 1/384 (*.f64 (pow.f64 K 4) (pow.f64 n 4)))))
(+.f64 1 (fma.f64 (.f64 n (.f64 n (.f64 K K))) -1/8 (.f64 (pow.f64 K 4) (*.f64 (pow.f64 n 4) 1/384))))
(+.f64 1 (fma.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 n 4)) (.f64 (.f64 n n) (.f64 (*.f64 K K) -1/8))))
(+.f64 1 (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (pow.f64 K 2))) (+.f64 (.f64 -1/46080 (.f64 (pow.f64 n 6) (pow.f64 K 6))) (.f64 1/384 (.f64 (pow.f64 n 4) (pow.f64 K 4))))))
(+.f64 1 (fma.f64 -1/8 (.f64 (.f64 n n) (.f64 K K)) (fma.f64 -1/46080 (.f64 (pow.f64 n 6) (pow.f64 K 6)) (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 n 4))))))
(+.f64 1 (fma.f64 (.f64 n (.f64 n (.f64 K K))) -1/8 (fma.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 n 4)) (.f64 (pow.f64 n 6) (.f64 (pow.f64 K 6) -1/46080)))))
(+.f64 (fma.f64 (.f64 (.f64 n n) -1/8) (.f64 K K) 1) (fma.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 n 4)) (.f64 (pow.f64 n 6) (.f64 (pow.f64 K 6) -1/46080))))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 n (.f64 K 1/2)))
1
(+.f64 1 (.f64 -1/8 (.f64 (pow.f64 n 2) (pow.f64 K 2))))
(+.f64 1 (.f64 (.f64 (.f64 n n) (.f64 K K)) -1/8))
(fma.f64 (.f64 n (.f64 n (*.f64 K K))) -1/8 1)
(fma.f64 (.f64 (.f64 n n) -1/8) (*.f64 K K) 1)
(+.f64 1 (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (pow.f64 K 2))) (.f64 1/384 (.f64 (pow.f64 n 4) (pow.f64 K 4)))))
(+.f64 1 (fma.f64 -1/8 (.f64 (.f64 n n) (.f64 K K)) (.f64 1/384 (*.f64 (pow.f64 K 4) (pow.f64 n 4)))))
(+.f64 1 (fma.f64 (.f64 n (.f64 n (.f64 K K))) -1/8 (.f64 (pow.f64 K 4) (*.f64 (pow.f64 n 4) 1/384))))
(+.f64 1 (fma.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 n 4)) (.f64 (.f64 n n) (.f64 (*.f64 K K) -1/8))))
(+.f64 1 (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (pow.f64 K 2))) (+.f64 (.f64 -1/46080 (.f64 (pow.f64 n 6) (pow.f64 K 6))) (.f64 1/384 (.f64 (pow.f64 n 4) (pow.f64 K 4))))))
(+.f64 1 (fma.f64 -1/8 (.f64 (.f64 n n) (.f64 K K)) (fma.f64 -1/46080 (.f64 (pow.f64 n 6) (pow.f64 K 6)) (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 n 4))))))
(+.f64 1 (fma.f64 (.f64 n (.f64 n (.f64 K K))) -1/8 (fma.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 n 4)) (.f64 (pow.f64 n 6) (.f64 (pow.f64 K 6) -1/46080)))))
(+.f64 (fma.f64 (.f64 (.f64 n n) -1/8) (.f64 K K) 1) (fma.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 n 4)) (.f64 (pow.f64 n 6) (.f64 (pow.f64 K 6) -1/46080))))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (pow.f64 K 2) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)))))
(fma.f64 -1/8 (.f64 (.f64 n n) (.f64 (.f64 K K) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (fma.f64 (.f64 (.f64 n n) -1/8) (.f64 K K) 1) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (pow.f64 K 2) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))))) (+.f64 (.f64 1/384 (.f64 (pow.f64 n 4) (.f64 (pow.f64 K 4) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))))
(fma.f64 -1/8 (.f64 (.f64 n n) (.f64 (.f64 K K) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))) (fma.f64 1/384 (.f64 (pow.f64 n 4) (.f64 (pow.f64 K 4) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))))
(fma.f64 -1/8 (.f64 (.f64 n n) (.f64 (.f64 K K) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))) (fma.f64 1/384 (.f64 (pow.f64 K 4) (.f64 (pow.f64 n 4) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))))
(+.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (fma.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 n 4)) (.f64 (.f64 n n) (.f64 (.f64 K K) -1/8)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (pow.f64 K 2) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))))) (+.f64 (.f64 -1/46080 (.f64 (pow.f64 n 6) (.f64 (pow.f64 K 6) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))))) (+.f64 (.f64 1/384 (.f64 (pow.f64 n 4) (.f64 (pow.f64 K 4) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)))))))
(fma.f64 -1/8 (.f64 (.f64 n n) (.f64 (.f64 K K) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))) (fma.f64 -1/46080 (.f64 (.f64 (pow.f64 n 6) (pow.f64 K 6)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))) (fma.f64 1/384 (.f64 (pow.f64 n 4) (.f64 (pow.f64 K 4) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))))
(fma.f64 -1/8 (.f64 (.f64 n n) (.f64 (.f64 K K) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))) (fma.f64 -1/46080 (.f64 (pow.f64 n 6) (.f64 (pow.f64 K 6) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))) (fma.f64 1/384 (.f64 (pow.f64 K 4) (.f64 (pow.f64 n 4) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))))
(+.f64 (.f64 (fma.f64 (.f64 (.f64 n n) -1/8) (.f64 K K) 1) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (fma.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 n 4)) (.f64 (pow.f64 n 6) (.f64 (pow.f64 K 6) -1/46080)))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 m) M) 2) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (fma.f64 1/2 m (neg.f64 M)) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 m) M) 2))))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 1/2 m) M) 2)) l))
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(.f64 (+.f64 (.f64 n (+.f64 M (.f64 m -1/2))) 1) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 m) M) 2)))))
(.f64 (+.f64 (.f64 n (+.f64 M (.f64 m -1/2))) 1) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 m) M) 2)) l)))
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(fma.f64 (.f64 n n) (.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 m) M) 2)) l)) (+.f64 (.f64 (.f64 K K) -1/8) (fma.f64 1/2 (pow.f64 (+.f64 M (.f64 m -1/2)) 2) -1/4))) (fma.f64 (pow.f64 n 3) (.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 m) M) 2)) l)) (+.f64 (fma.f64 1/6 (pow.f64 (+.f64 M (.f64 m -1/2)) 3) (.f64 -1/4 (+.f64 M (.f64 m -1/2)))) (.f64 -1/8 (.f64 (.f64 K K) (+.f64 M (.f64 m -1/2)))))) (.f64 (+.f64 (.f64 n (+.f64 M (.f64 m -1/2))) 1) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 1/2 m) M) 2)) l)))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (+.f64 (.f64 -1 n) m)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (-.f64 m (.f64 -1 n))) M) 2) l))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (+.f64 (.f64 -1 n) m)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (-.f64 m (.f64 -1 n))) M) 2) l))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (+.f64 (.f64 -1 n) m)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (-.f64 m (.f64 -1 n))) M) 2) l))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (+.f64 (.f64 -1 n) m)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (-.f64 m (.f64 -1 n))) M) 2) l))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 n 1/2) M) 2))))
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(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (+.f64 (.f64 1/2 (+.f64 n m)) (*.f64 -1 M)) 2) l))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (+.f64 (.f64 1/2 (+.f64 n m)) (*.f64 -1 M)) 2) l))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (+.f64 (.f64 1/2 (+.f64 n m)) (*.f64 -1 M)) 2) l))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (+.f64 (.f64 1/2 (+.f64 n m)) (*.f64 -1 M)) 2) l))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (cos.f64 (.f64 1/2 (.f64 n K))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))
(+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (cos.f64 (.f64 1/2 (.f64 n K)))) (.f64 -1 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) l))))
(fma.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (cos.f64 (.f64 1/2 (.f64 n K))) (neg.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) l))))
(fma.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (neg.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) l))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (-.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) l)))
(+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (cos.f64 (.f64 1/2 (.f64 n K)))) (+.f64 (.f64 1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (pow.f64 l 2)))) (.f64 -1 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) l)))))
(fma.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (cos.f64 (.f64 1/2 (.f64 n K))) (fma.f64 1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 l l))) (neg.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) l)))))
(-.f64 (fma.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (.f64 1/2 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (.f64 (.f64 l l) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))))) (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))) l)))
(fma.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (-.f64 (.f64 (.f64 l l) 1/2) l)))
(+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (cos.f64 (.f64 1/2 (.f64 n K)))) (+.f64 (.f64 -1/6 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (pow.f64 l 3)))) (+.f64 (.f64 1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (pow.f64 l 2)))) (.f64 -1 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) l))))))
(fma.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (cos.f64 (.f64 1/2 (.f64 n K))) (fma.f64 -1/6 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (pow.f64 l 3))) (fma.f64 1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 l l))) (neg.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (.f64 (cos.f64 (.f64 1/2 (*.f64 n K))) l))))))
(fma.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (fma.f64 -1/6 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (pow.f64 l 3))) (-.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (.f64 (.f64 l l) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))) (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) l)))))
(+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (-.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) l))) (.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (+.f64 (.f64 (.f64 l l) 1/2) (*.f64 (pow.f64 l 3) -1/6))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))

localize69.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 3 (.f64 1/3 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 M))))
✓	0.4b	(.f64 1/3 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)))
✓	0.5b	(pow.f64 (.f64 3 (.f64 1/3 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 M)))) 2)
✓	35.8b	(cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 M))

Compiler

Compiled 208 to 100 computations (51.9% saved)

series28.0ms (0.3%)

Counts

4 → 192

Calls

48 calls:

Time	Variable		Point	Expression
2.0ms	M	@	inf	(.f64 3 (.f64 1/3 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 M))))
2.0ms	M	@	0	(cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 M))
1.0ms	n	@	0	(pow.f64 (.f64 3 (.f64 1/3 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 M)))) 2)
1.0ms	m	@	0	(pow.f64 (.f64 3 (.f64 1/3 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 M)))) 2)
1.0ms	K	@	0	(pow.f64 (.f64 3 (.f64 1/3 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 M)))) 2)

rewrite85.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

767×	`prod-diff_binary64`
690×	`log-prod_binary64`
271×	`fma-def_binary64`
269×	`expm1-udef_binary64`
269×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	58
1	346	58
2	3948	58

Stop Event

1×	node limit

Counts

4 → 108

Calls

Call 1

Inputs
(cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 M))
(pow.f64 (.f64 3 (.f64 1/3 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 M)))) 2)
(.f64 1/3 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)))
(.f64 3 (.f64 1/3 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 M))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (cos.f64 M) (neg.f64 (.f64 (sin.f64 M) (sin.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))))) (fma.f64 (neg.f64 (sin.f64 M)) (sin.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (.f64 (sin.f64 M) (sin.f64 (.f64 (+.f64 m n) (.f64 K 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)))) (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (.f64 1/2 (cos.f64 (.f64 2 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)) 2))) (cbrt.f64 (exp.f64 (pow.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 3 (.f64 (.f64 1/3 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M))) (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/3 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M))) (.f64 3 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)) (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 9 (.f64 (pow.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)) 2) 1/9))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)) 2) 1/9) 9)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M))) 2) (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M))) 2) (.f64 (cbrt.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M))) (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)) 4)) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M))) (.f64 (sqrt.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M))) (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)) (sqrt.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)))) (sqrt.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)) 3) (.f64 1/3 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)) (.f64 1/3 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M))) 2)) (cbrt.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (.f64 2 (fma.f64 K (.f64 (+.f64 m n) 1/2) M))) (cos.f64 (-.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M) (fma.f64 K (.f64 (+.f64 m n) 1/2) M)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) 1/2) M)) 2)) 1))))))
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (cos.f64 M) (neg.f64 (.f64 (sin.f64 M) (sin.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))))) (fma.f64 (neg.f64 (sin.f64 M)) (sin.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (.f64 (sin.f64 M) (sin.f64 (.f64 (+.f64 m n) (.f64 K 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)))) (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (cos.f64 M)) (.f64 (sin.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (sin.f64 M)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 M) (cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))) (.f64 (sin.f64 M) (sin.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 1)) (cos.f64 M)) (.f64 (sin.f64 (.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 1)) (sin.f64 M)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (cos.f64 M) (neg.f64 (.f64 (sin.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))) (sin.f64 M))))))))

simplify137.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

545×	`fma-neg_binary64`
491×	`unsub-neg_binary64`
474×	`associate-+l+_binary64`
382×	`associate-r_binary64`
364×	`associate-+r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	244	4843
1	793	4807
2	2878	4525
3	6796	4525

Stop Event

1×	node limit

Counts

300 → 188

Calls

Call 1

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

Outputs
(cos.f64 M)
(+.f64 (.f64 -1/2 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m)))) (cos.f64 M))
(fma.f64 -1/2 (.f64 K (.f64 (sin.f64 M) (+.f64 n m))) (cos.f64 M))
(+.f64 (.f64 -1/2 (.f64 K (.f64 (sin.f64 M) (+.f64 n m)))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (pow.f64 (+.f64 n m) 2) (cos.f64 M)))) (cos.f64 M)))
(fma.f64 -1/2 (.f64 K (.f64 (sin.f64 M) (+.f64 n m))) (fma.f64 -1/8 (.f64 (.f64 K K) (*.f64 (cos.f64 M) (pow.f64 (+.f64 n m) 2))) (cos.f64 M)))
(fma.f64 -1/2 (.f64 K (.f64 (sin.f64 M) (+.f64 n m))) (fma.f64 -1/8 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 (cos.f64 M) (*.f64 K K))) (cos.f64 M)))
(+.f64 (.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (sin.f64 M) (pow.f64 (+.f64 n m) 3)))) (+.f64 (.f64 -1/2 (.f64 K (.f64 (sin.f64 M) (+.f64 n m)))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (*.f64 (pow.f64 (+.f64 n m) 2) (cos.f64 M)))) (cos.f64 M))))
(fma.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (sin.f64 M) (pow.f64 (+.f64 n m) 3))) (fma.f64 -1/2 (.f64 K (.f64 (sin.f64 M) (+.f64 n m))) (fma.f64 -1/8 (.f64 (.f64 K K) (*.f64 (cos.f64 M) (pow.f64 (+.f64 n m) 2))) (cos.f64 M))))
(fma.f64 1/48 (.f64 (sin.f64 M) (.f64 (pow.f64 (+.f64 n m) 3) (pow.f64 K 3))) (fma.f64 -1/2 (.f64 K (.f64 (sin.f64 M) (+.f64 n m))) (fma.f64 -1/8 (.f64 (.f64 K K) (*.f64 (cos.f64 M) (pow.f64 (+.f64 n m) 2))) (cos.f64 M))))
(+.f64 (fma.f64 -1/8 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 (cos.f64 M) (.f64 K K))) (cos.f64 M)) (.f64 (sin.f64 M) (+.f64 (.f64 (.f64 -1/2 K) (+.f64 n m)) (.f64 (.f64 1/48 (pow.f64 K 3)) (pow.f64 (+.f64 n m) 3)))))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (fma.f64 1/2 (*.f64 K n) M))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m))) (cos.f64 (+.f64 (.f64 1/2 (*.f64 n K)) M)))
(fma.f64 -1/2 (.f64 (sin.f64 (fma.f64 1/2 (.f64 K n) M)) (.f64 K m)) (cos.f64 (fma.f64 1/2 (.f64 K n) M)))
(fma.f64 (.f64 -1/2 (sin.f64 (fma.f64 1/2 (.f64 K n) M))) (.f64 K m) (cos.f64 (fma.f64 1/2 (.f64 K n) M)))
(fma.f64 -1/2 (.f64 m (.f64 K (sin.f64 (fma.f64 1/2 (.f64 K n) M)))) (cos.f64 (fma.f64 1/2 (.f64 K n) M)))
(+.f64 (.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)))) (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) M))))
(fma.f64 -1/2 (.f64 (sin.f64 (fma.f64 1/2 (.f64 K n) M)) (.f64 K m)) (fma.f64 -1/8 (.f64 (.f64 K K) (.f64 (cos.f64 (fma.f64 1/2 (.f64 K n) M)) (.f64 m m))) (cos.f64 (fma.f64 1/2 (*.f64 K n) M))))
(fma.f64 -1/2 (.f64 m (.f64 K (sin.f64 (fma.f64 1/2 (.f64 K n) M)))) (fma.f64 -1/8 (.f64 (.f64 K K) (.f64 (cos.f64 (fma.f64 1/2 (.f64 K n) M)) (.f64 m m))) (cos.f64 (fma.f64 1/2 (*.f64 K n) M))))
(fma.f64 -1/2 (.f64 m (.f64 K (sin.f64 (fma.f64 1/2 (.f64 K n) M)))) (.f64 (+.f64 (.f64 (.f64 -1/8 (.f64 K K)) (.f64 m m)) 1) (cos.f64 (fma.f64 1/2 (*.f64 K n) M))))
(+.f64 (.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 1/48 (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 n K)) M)) (*.f64 (pow.f64 K 3) (pow.f64 m 3)))))))
(fma.f64 -1/2 (.f64 (sin.f64 (fma.f64 1/2 (.f64 K n) M)) (.f64 K m)) (+.f64 (fma.f64 -1/8 (.f64 (.f64 K K) (.f64 (cos.f64 (fma.f64 1/2 (.f64 K n) M)) (.f64 m m))) (cos.f64 (fma.f64 1/2 (.f64 K n) M))) (.f64 1/48 (.f64 (sin.f64 (fma.f64 1/2 (.f64 K n) M)) (*.f64 (pow.f64 K 3) (pow.f64 m 3))))))
(fma.f64 -1/2 (.f64 m (.f64 K (sin.f64 (fma.f64 1/2 (.f64 K n) M)))) (fma.f64 -1/8 (.f64 (.f64 K K) (.f64 (cos.f64 (fma.f64 1/2 (.f64 K n) M)) (.f64 m m))) (fma.f64 1/48 (.f64 (sin.f64 (fma.f64 1/2 (.f64 K n) M)) (.f64 (pow.f64 K 3) (pow.f64 m 3))) (cos.f64 (fma.f64 1/2 (.f64 K n) M)))))
(+.f64 (.f64 (+.f64 (.f64 (.f64 -1/8 (.f64 K K)) (.f64 m m)) 1) (cos.f64 (fma.f64 1/2 (.f64 K n) M))) (.f64 (sin.f64 (fma.f64 1/2 (.f64 K n) M)) (+.f64 (.f64 1/48 (.f64 (pow.f64 K 3) (pow.f64 m 3))) (.f64 -1/2 (.f64 K m)))))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (.f64 K (-.f64 n (.f64 -1 m))) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (.f64 K (-.f64 n (.f64 -1 m))) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (.f64 K (-.f64 n (.f64 -1 m))) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (.f64 K (-.f64 n (.f64 -1 m))) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) M))
(cos.f64 (fma.f64 1/2 (*.f64 K m) M))
(+.f64 (.f64 -1/2 (.f64 n (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 K m)) M)) K))) (cos.f64 (+.f64 (.f64 1/2 (*.f64 K m)) M)))
(fma.f64 -1/2 (.f64 n (.f64 K (sin.f64 (fma.f64 1/2 (.f64 K m) M)))) (cos.f64 (fma.f64 1/2 (.f64 K m) M)))
(fma.f64 -1/2 (.f64 (.f64 K n) (sin.f64 (fma.f64 1/2 (.f64 K m) M))) (cos.f64 (fma.f64 1/2 (.f64 K m) M)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (pow.f64 K 2) (cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) M))))) (+.f64 (.f64 -1/2 (.f64 n (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 K m)) M)) K))) (cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) M))))
(fma.f64 -1/8 (.f64 (.f64 n n) (.f64 (.f64 K K) (cos.f64 (fma.f64 1/2 (.f64 K m) M)))) (fma.f64 -1/2 (.f64 n (.f64 K (sin.f64 (fma.f64 1/2 (.f64 K m) M)))) (cos.f64 (fma.f64 1/2 (*.f64 K m) M))))
(fma.f64 -1/8 (.f64 (.f64 K K) (.f64 (cos.f64 (fma.f64 1/2 (.f64 K m) M)) (.f64 n n))) (fma.f64 -1/2 (.f64 n (.f64 K (sin.f64 (fma.f64 1/2 (.f64 K m) M)))) (cos.f64 (fma.f64 1/2 (*.f64 K m) M))))
(+.f64 (.f64 -1/2 (.f64 (.f64 K n) (sin.f64 (fma.f64 1/2 (.f64 K m) M)))) (.f64 (+.f64 (.f64 -1/8 (.f64 n (.f64 n (.f64 K K)))) 1) (cos.f64 (fma.f64 1/2 (.f64 K m) M))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (pow.f64 K 2) (cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) M))))) (+.f64 (.f64 -1/2 (.f64 n (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 K m)) M)) K))) (+.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 1/48 (.f64 (pow.f64 n 3) (.f64 (sin.f64 (+.f64 (.f64 1/2 (*.f64 K m)) M)) (pow.f64 K 3)))))))
(fma.f64 -1/8 (.f64 (.f64 n n) (.f64 (.f64 K K) (cos.f64 (fma.f64 1/2 (.f64 K m) M)))) (+.f64 (fma.f64 -1/2 (.f64 n (.f64 K (sin.f64 (fma.f64 1/2 (.f64 K m) M)))) (cos.f64 (fma.f64 1/2 (.f64 K m) M))) (.f64 1/48 (.f64 (pow.f64 n 3) (.f64 (pow.f64 K 3) (sin.f64 (fma.f64 1/2 (*.f64 K m) M)))))))
(fma.f64 -1/8 (.f64 (.f64 K K) (.f64 (cos.f64 (fma.f64 1/2 (.f64 K m) M)) (.f64 n n))) (fma.f64 -1/2 (.f64 n (.f64 K (sin.f64 (fma.f64 1/2 (.f64 K m) M)))) (fma.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (sin.f64 (fma.f64 1/2 (.f64 K m) M)) (pow.f64 n 3))) (cos.f64 (fma.f64 1/2 (.f64 K m) M)))))
(+.f64 (.f64 (sin.f64 (fma.f64 1/2 (.f64 K m) M)) (+.f64 (.f64 (.f64 -1/2 n) K) (.f64 (.f64 1/48 (pow.f64 n 3)) (pow.f64 K 3)))) (.f64 (+.f64 (.f64 -1/8 (.f64 n (.f64 n (.f64 K K)))) 1) (cos.f64 (fma.f64 1/2 (.f64 K m) M))))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (.f64 K (-.f64 m (.f64 -1 n))) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (.f64 K (-.f64 m (.f64 -1 n))) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (.f64 K (-.f64 m (.f64 -1 n))) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (.f64 K (-.f64 m (.f64 -1 n))) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 (.f64 K (+.f64 n m)) 1/2))
(cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2)))
(cos.f64 (.f64 (+.f64 n m) (.f64 K 1/2)))
(+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M)) (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))))
(fma.f64 -1 (.f64 M (sin.f64 (.f64 (.f64 K (+.f64 n m)) 1/2))) (cos.f64 (.f64 (*.f64 K (+.f64 n m)) 1/2)))
(-.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (.f64 M (sin.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)))))
(-.f64 (cos.f64 (.f64 (+.f64 n m) (.f64 K 1/2))) (.f64 M (sin.f64 (.f64 (+.f64 n m) (*.f64 K 1/2)))))
(+.f64 (.f64 -1 (.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 (fma.f64 -1 (.f64 M (sin.f64 (.f64 (.f64 K (+.f64 n m)) 1/2))) (cos.f64 (.f64 (.f64 K (+.f64 n m)) 1/2))) (.f64 -1/2 (.f64 (cos.f64 (.f64 (.f64 K (+.f64 n m)) 1/2)) (.f64 M M))))
(-.f64 (fma.f64 (.f64 -1/2 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2)))) (.f64 M M) (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2)))) (.f64 M (sin.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)))))
(-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 M M)) 1) (cos.f64 (.f64 (+.f64 n m) (.f64 K 1/2)))) (.f64 M (sin.f64 (.f64 (+.f64 n m) (.f64 K 1/2)))))
(fma.f64 (+.f64 (.f64 -1/2 (.f64 M M)) 1) (cos.f64 (.f64 (+.f64 n m) (.f64 K 1/2))) (.f64 M (neg.f64 (sin.f64 (.f64 (+.f64 n m) (*.f64 K 1/2))))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (pow.f64 M 3))) (+.f64 (.f64 -1 (.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))))))
(fma.f64 1/6 (.f64 (sin.f64 (.f64 (.f64 K (+.f64 n m)) 1/2)) (pow.f64 M 3)) (+.f64 (fma.f64 -1 (.f64 M (sin.f64 (.f64 (.f64 K (+.f64 n m)) 1/2))) (cos.f64 (.f64 (.f64 K (+.f64 n m)) 1/2))) (.f64 -1/2 (.f64 (cos.f64 (.f64 (.f64 K (+.f64 n m)) 1/2)) (*.f64 M M)))))
(fma.f64 1/6 (.f64 (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (pow.f64 M 3)) (-.f64 (fma.f64 (.f64 -1/2 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2)))) (.f64 M M) (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2)))) (.f64 M (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 M M)) 1) (cos.f64 (.f64 (+.f64 n m) (.f64 K 1/2)))) (.f64 (sin.f64 (.f64 (+.f64 n m) (.f64 K 1/2))) (-.f64 (*.f64 1/6 (pow.f64 M 3)) M)))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 M M)) 1) (cos.f64 (.f64 (+.f64 n m) (.f64 K 1/2)))) (.f64 (sin.f64 (.f64 (+.f64 n m) (.f64 K 1/2))) (fma.f64 (pow.f64 M 3) 1/6 (neg.f64 M))))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(pow.f64 (cos.f64 M) 2)
(+.f64 (pow.f64 (cos.f64 M) 2) (.f64 -1 (.f64 K (.f64 (sin.f64 M) (.f64 (+.f64 n m) (cos.f64 M))))))
(+.f64 (pow.f64 (cos.f64 M) 2) (neg.f64 (.f64 K (.f64 (sin.f64 M) (*.f64 (cos.f64 M) (+.f64 n m))))))
(-.f64 (pow.f64 (cos.f64 M) 2) (.f64 K (.f64 (+.f64 n m) (*.f64 (sin.f64 M) (cos.f64 M)))))
(.f64 (cos.f64 M) (-.f64 (cos.f64 M) (.f64 K (*.f64 (sin.f64 M) (+.f64 n m)))))
(+.f64 (pow.f64 (cos.f64 M) 2) (+.f64 (.f64 -1 (.f64 K (.f64 (sin.f64 M) (.f64 (+.f64 n m) (cos.f64 M))))) (.f64 (pow.f64 K 2) (+.f64 (.f64 -1/4 (.f64 (pow.f64 (+.f64 n m) 2) (pow.f64 (cos.f64 M) 2))) (.f64 1/4 (*.f64 (pow.f64 (sin.f64 M) 2) (pow.f64 (+.f64 n m) 2)))))))
(+.f64 (pow.f64 (cos.f64 M) 2) (fma.f64 -1 (.f64 K (.f64 (sin.f64 M) (.f64 (cos.f64 M) (+.f64 n m)))) (.f64 (.f64 K K) (fma.f64 -1/4 (.f64 (pow.f64 (+.f64 n m) 2) (pow.f64 (cos.f64 M) 2)) (.f64 1/4 (.f64 (pow.f64 (+.f64 n m) 2) (pow.f64 (sin.f64 M) 2)))))))
(+.f64 (pow.f64 (cos.f64 M) 2) (-.f64 (.f64 (.f64 K K) (fma.f64 -1/4 (.f64 (pow.f64 (+.f64 n m) 2) (pow.f64 (cos.f64 M) 2)) (.f64 (pow.f64 (+.f64 n m) 2) (.f64 1/4 (pow.f64 (sin.f64 M) 2))))) (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) (cos.f64 M))))))
(+.f64 (.f64 (cos.f64 M) (-.f64 (cos.f64 M) (.f64 K (.f64 (sin.f64 M) (+.f64 n m))))) (.f64 K (.f64 K (.f64 (pow.f64 (+.f64 n m) 2) (+.f64 (.f64 (pow.f64 (cos.f64 M) 2) -1/4) (.f64 1/4 (pow.f64 (sin.f64 M) 2)))))))
(+.f64 (pow.f64 (cos.f64 M) 2) (+.f64 (.f64 (pow.f64 K 3) (+.f64 (.f64 1/8 (.f64 (sin.f64 M) (.f64 (pow.f64 (+.f64 n m) 3) (cos.f64 M)))) (.f64 1/24 (.f64 (sin.f64 M) (.f64 (pow.f64 (+.f64 n m) 3) (cos.f64 M)))))) (+.f64 (.f64 -1 (.f64 K (.f64 (sin.f64 M) (.f64 (+.f64 n m) (cos.f64 M))))) (.f64 (pow.f64 K 2) (+.f64 (.f64 -1/4 (.f64 (pow.f64 (+.f64 n m) 2) (pow.f64 (cos.f64 M) 2))) (.f64 1/4 (.f64 (pow.f64 (sin.f64 M) 2) (pow.f64 (+.f64 n m) 2))))))))
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(fma.f64 -1/3 (.f64 M (sin.f64 (.f64 (.f64 K (+.f64 n m)) 1/2))) (fma.f64 -1/6 (.f64 (cos.f64 (.f64 (.f64 K (+.f64 n m)) 1/2)) (.f64 M M)) (.f64 (cos.f64 (.f64 (.f64 K (+.f64 n m)) 1/2)) 1/3)))
(fma.f64 (.f64 M (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2)))) -1/3 (fma.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) 1/3 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (.f64 (.f64 M M) -1/6))))
(fma.f64 (.f64 M (sin.f64 (.f64 (+.f64 n m) (.f64 K 1/2)))) -1/3 (.f64 (cos.f64 (.f64 (+.f64 n m) (.f64 K 1/2))) (+.f64 1/3 (.f64 -1/6 (.f64 M M)))))
(+.f64 (.f64 -1/3 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M)) (+.f64 (.f64 -1/6 (.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (pow.f64 M 2))) (+.f64 (.f64 1/18 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (pow.f64 M 3))) (.f64 1/3 (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m))))))))
(fma.f64 -1/3 (.f64 M (sin.f64 (.f64 (.f64 K (+.f64 n m)) 1/2))) (fma.f64 -1/6 (.f64 (cos.f64 (.f64 (.f64 K (+.f64 n m)) 1/2)) (.f64 M M)) (fma.f64 1/18 (.f64 (sin.f64 (.f64 (.f64 K (+.f64 n m)) 1/2)) (pow.f64 M 3)) (.f64 (cos.f64 (.f64 (*.f64 K (+.f64 n m)) 1/2)) 1/3))))
(fma.f64 (.f64 M (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2)))) -1/3 (fma.f64 (.f64 M (.f64 M (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))))) -1/6 (fma.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) 1/3 (.f64 (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (*.f64 (pow.f64 M 3) 1/18)))))
(+.f64 (fma.f64 (.f64 M (sin.f64 (.f64 (+.f64 n m) (.f64 K 1/2)))) -1/3 (.f64 (cos.f64 (.f64 (+.f64 n m) (.f64 K 1/2))) (+.f64 1/3 (.f64 -1/6 (.f64 M M))))) (.f64 (sin.f64 (.f64 (+.f64 n m) (.f64 K 1/2))) (.f64 (pow.f64 M 3) 1/18)))
(.f64 1/3 (cos.f64 (fma.f64 (.f64 K (+.f64 n m)) 1/2 M)))
(.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 n m)) 1/2 M)) 1/3)
(.f64 1/3 (cos.f64 (fma.f64 (.f64 K (+.f64 n m)) 1/2 M)))
(.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 n m)) 1/2 M)) 1/3)
(.f64 1/3 (cos.f64 (fma.f64 (.f64 K (+.f64 n m)) 1/2 M)))
(.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 n m)) 1/2 M)) 1/3)
(.f64 1/3 (cos.f64 (fma.f64 (.f64 K (+.f64 n m)) 1/2 M)))
(.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 n m)) 1/2 M)) 1/3)
(.f64 1/3 (cos.f64 (fma.f64 (.f64 K (+.f64 n m)) 1/2 M)))
(.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 n m)) 1/2 M)) 1/3)
(.f64 1/3 (cos.f64 (fma.f64 (.f64 K (+.f64 n m)) 1/2 M)))
(.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 n m)) 1/2 M)) 1/3)
(.f64 1/3 (cos.f64 (fma.f64 (.f64 K (+.f64 n m)) 1/2 M)))
(.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 n m)) 1/2 M)) 1/3)
(.f64 1/3 (cos.f64 (fma.f64 (.f64 K (+.f64 n m)) 1/2 M)))
(.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 n m)) 1/2 M)) 1/3)
(cos.f64 M)
(+.f64 (.f64 -1/2 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m)))) (cos.f64 M))
(fma.f64 -1/2 (.f64 K (.f64 (sin.f64 M) (+.f64 n m))) (cos.f64 M))
(+.f64 (.f64 -1/2 (.f64 K (.f64 (sin.f64 M) (+.f64 n m)))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (pow.f64 (+.f64 n m) 2) (cos.f64 M)))) (cos.f64 M)))
(fma.f64 -1/2 (.f64 K (.f64 (sin.f64 M) (+.f64 n m))) (fma.f64 -1/8 (.f64 (.f64 K K) (*.f64 (cos.f64 M) (pow.f64 (+.f64 n m) 2))) (cos.f64 M)))
(fma.f64 -1/2 (.f64 K (.f64 (sin.f64 M) (+.f64 n m))) (fma.f64 -1/8 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 (cos.f64 M) (*.f64 K K))) (cos.f64 M)))
(+.f64 (.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (sin.f64 M) (pow.f64 (+.f64 n m) 3)))) (+.f64 (.f64 -1/2 (.f64 K (.f64 (sin.f64 M) (+.f64 n m)))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (*.f64 (pow.f64 (+.f64 n m) 2) (cos.f64 M)))) (cos.f64 M))))
(fma.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (sin.f64 M) (pow.f64 (+.f64 n m) 3))) (fma.f64 -1/2 (.f64 K (.f64 (sin.f64 M) (+.f64 n m))) (fma.f64 -1/8 (.f64 (.f64 K K) (*.f64 (cos.f64 M) (pow.f64 (+.f64 n m) 2))) (cos.f64 M))))
(fma.f64 1/48 (.f64 (sin.f64 M) (.f64 (pow.f64 (+.f64 n m) 3) (pow.f64 K 3))) (fma.f64 -1/2 (.f64 K (.f64 (sin.f64 M) (+.f64 n m))) (fma.f64 -1/8 (.f64 (.f64 K K) (*.f64 (cos.f64 M) (pow.f64 (+.f64 n m) 2))) (cos.f64 M))))
(+.f64 (fma.f64 -1/8 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 (cos.f64 M) (.f64 K K))) (cos.f64 M)) (.f64 (sin.f64 M) (+.f64 (.f64 (.f64 -1/2 K) (+.f64 n m)) (.f64 (.f64 1/48 (pow.f64 K 3)) (pow.f64 (+.f64 n m) 3)))))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (fma.f64 1/2 (*.f64 K n) M))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m))) (cos.f64 (+.f64 (.f64 1/2 (*.f64 n K)) M)))
(fma.f64 -1/2 (.f64 (sin.f64 (fma.f64 1/2 (.f64 K n) M)) (.f64 K m)) (cos.f64 (fma.f64 1/2 (.f64 K n) M)))
(fma.f64 (.f64 -1/2 (sin.f64 (fma.f64 1/2 (.f64 K n) M))) (.f64 K m) (cos.f64 (fma.f64 1/2 (.f64 K n) M)))
(fma.f64 -1/2 (.f64 m (.f64 K (sin.f64 (fma.f64 1/2 (.f64 K n) M)))) (cos.f64 (fma.f64 1/2 (.f64 K n) M)))
(+.f64 (.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)))) (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) M))))
(fma.f64 -1/2 (.f64 (sin.f64 (fma.f64 1/2 (.f64 K n) M)) (.f64 K m)) (fma.f64 -1/8 (.f64 (.f64 K K) (.f64 (cos.f64 (fma.f64 1/2 (.f64 K n) M)) (.f64 m m))) (cos.f64 (fma.f64 1/2 (*.f64 K n) M))))
(fma.f64 -1/2 (.f64 m (.f64 K (sin.f64 (fma.f64 1/2 (.f64 K n) M)))) (fma.f64 -1/8 (.f64 (.f64 K K) (.f64 (cos.f64 (fma.f64 1/2 (.f64 K n) M)) (.f64 m m))) (cos.f64 (fma.f64 1/2 (*.f64 K n) M))))
(fma.f64 -1/2 (.f64 m (.f64 K (sin.f64 (fma.f64 1/2 (.f64 K n) M)))) (.f64 (+.f64 (.f64 (.f64 -1/8 (.f64 K K)) (.f64 m m)) 1) (cos.f64 (fma.f64 1/2 (*.f64 K n) M))))
(+.f64 (.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 1/48 (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 n K)) M)) (*.f64 (pow.f64 K 3) (pow.f64 m 3)))))))
(fma.f64 -1/2 (.f64 (sin.f64 (fma.f64 1/2 (.f64 K n) M)) (.f64 K m)) (+.f64 (fma.f64 -1/8 (.f64 (.f64 K K) (.f64 (cos.f64 (fma.f64 1/2 (.f64 K n) M)) (.f64 m m))) (cos.f64 (fma.f64 1/2 (.f64 K n) M))) (.f64 1/48 (.f64 (sin.f64 (fma.f64 1/2 (.f64 K n) M)) (*.f64 (pow.f64 K 3) (pow.f64 m 3))))))
(fma.f64 -1/2 (.f64 m (.f64 K (sin.f64 (fma.f64 1/2 (.f64 K n) M)))) (fma.f64 -1/8 (.f64 (.f64 K K) (.f64 (cos.f64 (fma.f64 1/2 (.f64 K n) M)) (.f64 m m))) (fma.f64 1/48 (.f64 (sin.f64 (fma.f64 1/2 (.f64 K n) M)) (.f64 (pow.f64 K 3) (pow.f64 m 3))) (cos.f64 (fma.f64 1/2 (.f64 K n) M)))))
(+.f64 (.f64 (+.f64 (.f64 (.f64 -1/8 (.f64 K K)) (.f64 m m)) 1) (cos.f64 (fma.f64 1/2 (.f64 K n) M))) (.f64 (sin.f64 (fma.f64 1/2 (.f64 K n) M)) (+.f64 (.f64 1/48 (.f64 (pow.f64 K 3) (pow.f64 m 3))) (.f64 -1/2 (.f64 K m)))))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (.f64 K (-.f64 n (.f64 -1 m))) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (.f64 K (-.f64 n (.f64 -1 m))) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (.f64 K (-.f64 n (.f64 -1 m))) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (.f64 K (-.f64 n (.f64 -1 m))) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) M))
(cos.f64 (fma.f64 1/2 (*.f64 K m) M))
(+.f64 (.f64 -1/2 (.f64 n (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 K m)) M)) K))) (cos.f64 (+.f64 (.f64 1/2 (*.f64 K m)) M)))
(fma.f64 -1/2 (.f64 n (.f64 K (sin.f64 (fma.f64 1/2 (.f64 K m) M)))) (cos.f64 (fma.f64 1/2 (.f64 K m) M)))
(fma.f64 -1/2 (.f64 (.f64 K n) (sin.f64 (fma.f64 1/2 (.f64 K m) M))) (cos.f64 (fma.f64 1/2 (.f64 K m) M)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (pow.f64 K 2) (cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) M))))) (+.f64 (.f64 -1/2 (.f64 n (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 K m)) M)) K))) (cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) M))))
(fma.f64 -1/8 (.f64 (.f64 n n) (.f64 (.f64 K K) (cos.f64 (fma.f64 1/2 (.f64 K m) M)))) (fma.f64 -1/2 (.f64 n (.f64 K (sin.f64 (fma.f64 1/2 (.f64 K m) M)))) (cos.f64 (fma.f64 1/2 (*.f64 K m) M))))
(fma.f64 -1/8 (.f64 (.f64 K K) (.f64 (cos.f64 (fma.f64 1/2 (.f64 K m) M)) (.f64 n n))) (fma.f64 -1/2 (.f64 n (.f64 K (sin.f64 (fma.f64 1/2 (.f64 K m) M)))) (cos.f64 (fma.f64 1/2 (*.f64 K m) M))))
(+.f64 (.f64 -1/2 (.f64 (.f64 K n) (sin.f64 (fma.f64 1/2 (.f64 K m) M)))) (.f64 (+.f64 (.f64 -1/8 (.f64 n (.f64 n (.f64 K K)))) 1) (cos.f64 (fma.f64 1/2 (.f64 K m) M))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (pow.f64 K 2) (cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) M))))) (+.f64 (.f64 -1/2 (.f64 n (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 K m)) M)) K))) (+.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 1/48 (.f64 (pow.f64 n 3) (.f64 (sin.f64 (+.f64 (.f64 1/2 (*.f64 K m)) M)) (pow.f64 K 3)))))))
(fma.f64 -1/8 (.f64 (.f64 n n) (.f64 (.f64 K K) (cos.f64 (fma.f64 1/2 (.f64 K m) M)))) (+.f64 (fma.f64 -1/2 (.f64 n (.f64 K (sin.f64 (fma.f64 1/2 (.f64 K m) M)))) (cos.f64 (fma.f64 1/2 (.f64 K m) M))) (.f64 1/48 (.f64 (pow.f64 n 3) (.f64 (pow.f64 K 3) (sin.f64 (fma.f64 1/2 (*.f64 K m) M)))))))
(fma.f64 -1/8 (.f64 (.f64 K K) (.f64 (cos.f64 (fma.f64 1/2 (.f64 K m) M)) (.f64 n n))) (fma.f64 -1/2 (.f64 n (.f64 K (sin.f64 (fma.f64 1/2 (.f64 K m) M)))) (fma.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (sin.f64 (fma.f64 1/2 (.f64 K m) M)) (pow.f64 n 3))) (cos.f64 (fma.f64 1/2 (.f64 K m) M)))))
(+.f64 (.f64 (sin.f64 (fma.f64 1/2 (.f64 K m) M)) (+.f64 (.f64 (.f64 -1/2 n) K) (.f64 (.f64 1/48 (pow.f64 n 3)) (pow.f64 K 3)))) (.f64 (+.f64 (.f64 -1/8 (.f64 n (.f64 n (.f64 K K)))) 1) (cos.f64 (fma.f64 1/2 (.f64 K m) M))))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (.f64 K (-.f64 m (.f64 -1 n))) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (.f64 K (-.f64 m (.f64 -1 n))) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (.f64 K (-.f64 m (.f64 -1 n))) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (.f64 K (-.f64 m (.f64 -1 n))) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 (.f64 K (+.f64 n m)) 1/2))
(cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2)))
(cos.f64 (.f64 (+.f64 n m) (.f64 K 1/2)))
(+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M)) (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))))
(fma.f64 -1 (.f64 M (sin.f64 (.f64 (.f64 K (+.f64 n m)) 1/2))) (cos.f64 (.f64 (*.f64 K (+.f64 n m)) 1/2)))
(-.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (.f64 M (sin.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)))))
(-.f64 (cos.f64 (.f64 (+.f64 n m) (.f64 K 1/2))) (.f64 M (sin.f64 (.f64 (+.f64 n m) (*.f64 K 1/2)))))
(+.f64 (.f64 -1 (.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 (fma.f64 -1 (.f64 M (sin.f64 (.f64 (.f64 K (+.f64 n m)) 1/2))) (cos.f64 (.f64 (.f64 K (+.f64 n m)) 1/2))) (.f64 -1/2 (.f64 (cos.f64 (.f64 (.f64 K (+.f64 n m)) 1/2)) (.f64 M M))))
(-.f64 (fma.f64 (.f64 -1/2 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2)))) (.f64 M M) (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2)))) (.f64 M (sin.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)))))
(-.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 M M)) 1) (cos.f64 (.f64 (+.f64 n m) (.f64 K 1/2)))) (.f64 M (sin.f64 (.f64 (+.f64 n m) (.f64 K 1/2)))))
(fma.f64 (+.f64 (.f64 -1/2 (.f64 M M)) 1) (cos.f64 (.f64 (+.f64 n m) (.f64 K 1/2))) (.f64 M (neg.f64 (sin.f64 (.f64 (+.f64 n m) (*.f64 K 1/2))))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (pow.f64 M 3))) (+.f64 (.f64 -1 (.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))))))
(fma.f64 1/6 (.f64 (sin.f64 (.f64 (.f64 K (+.f64 n m)) 1/2)) (pow.f64 M 3)) (+.f64 (fma.f64 -1 (.f64 M (sin.f64 (.f64 (.f64 K (+.f64 n m)) 1/2))) (cos.f64 (.f64 (.f64 K (+.f64 n m)) 1/2))) (.f64 -1/2 (.f64 (cos.f64 (.f64 (.f64 K (+.f64 n m)) 1/2)) (*.f64 M M)))))
(fma.f64 1/6 (.f64 (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (pow.f64 M 3)) (-.f64 (fma.f64 (.f64 -1/2 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2)))) (.f64 M M) (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2)))) (.f64 M (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 M M)) 1) (cos.f64 (.f64 (+.f64 n m) (.f64 K 1/2)))) (.f64 (sin.f64 (.f64 (+.f64 n m) (.f64 K 1/2))) (-.f64 (*.f64 1/6 (pow.f64 M 3)) M)))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 M M)) 1) (cos.f64 (.f64 (+.f64 n m) (.f64 K 1/2)))) (.f64 (sin.f64 (.f64 (+.f64 n m) (.f64 K 1/2))) (fma.f64 (pow.f64 M 3) 1/6 (neg.f64 M))))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 M))

localize66.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (cbrt.f64 K) 2)
✓	0.6b	(cbrt.f64 K)
✓	1.4b	(fma.f64 (pow.f64 (cbrt.f64 K) 2) (.f64 (cbrt.f64 K) n) (.f64 K m))
✓	35.9b	(cos.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 (cbrt.f64 K) 2) (.f64 (cbrt.f64 K) n) (.f64 K m)) 2) M))

Compiler

Compiled 201 to 83 computations (58.7% saved)

series21.0ms (0.2%)

Counts

4 → 75

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	m	@	0	(cos.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 (cbrt.f64 K) 2) (.f64 (cbrt.f64 K) n) (.f64 K m)) 2) M))
2.0ms	n	@	0	(fma.f64 (pow.f64 (cbrt.f64 K) 2) (.f64 (cbrt.f64 K) n) (.f64 K m))
2.0ms	K	@	-inf	(fma.f64 (pow.f64 (cbrt.f64 K) 2) (.f64 (cbrt.f64 K) n) (.f64 K m))
1.0ms	m	@	0	(fma.f64 (pow.f64 (cbrt.f64 K) 2) (.f64 (cbrt.f64 K) n) (.f64 K m))
1.0ms	n	@	0	(cos.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 (cbrt.f64 K) 2) (.f64 (cbrt.f64 K) n) (.f64 K m)) 2) M))

rewrite110.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

798×	`prod-diff_binary64`
714×	`log-prod_binary64`
301×	`fma-def_binary64`
272×	`expm1-udef_binary64`
272×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	53
1	305	37
2	3902	33

Stop Event

1×	node limit

Counts

4 → 125

Calls

Call 1

Inputs
(cos.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 (cbrt.f64 K) 2) (.f64 (cbrt.f64 K) n) (.f64 K m)) 2) M))
(fma.f64 (pow.f64 (cbrt.f64 K) 2) (.f64 (cbrt.f64 K) n) (.f64 K m))
(cbrt.f64 K)
(pow.f64 (cbrt.f64 K) 2)

Outputs
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(fma.f64 K n (.f64 K m)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 (fma.f64 K n (.f64 K m)) 1/2) M)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 (fma.f64 K n (.f64 K m)) 1/2) M)))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (/.f64 (.f64 (pow.f64 (fma.f64 K n (.f64 K m)) 3) 1/8) (fma.f64 M (fma.f64 (fma.f64 K n (.f64 K m)) 1/2 M) (.f64 (pow.f64 (fma.f64 K n (.f64 K m)) 2) 1/4)))) (cos.f64 (/.f64 (pow.f64 M 3) (fma.f64 M (fma.f64 (fma.f64 K n (.f64 K m)) 1/2 M) (.f64 (pow.f64 (fma.f64 K n (.f64 K m)) 2) 1/4))))) (.f64 (sin.f64 (/.f64 (.f64 (pow.f64 (fma.f64 K n (.f64 K m)) 3) 1/8) (fma.f64 M (fma.f64 (fma.f64 K n (.f64 K m)) 1/2 M) (.f64 (pow.f64 (fma.f64 K n (.f64 K m)) 2) 1/4)))) (sin.f64 (/.f64 (pow.f64 M 3) (fma.f64 M (fma.f64 (fma.f64 K n (.f64 K m)) 1/2 M) (.f64 (pow.f64 (fma.f64 K n (.f64 K m)) 2) 1/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 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M))) (.f64 (sin.f64 (.f64 (fma.f64 K n (.f64 K m)) 1/2)) (sin.f64 M)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 (fma.f64 K n (.f64 K m)) 1/2)) (sin.f64 M))) (sqrt.f64 (.f64 (sin.f64 (.f64 (fma.f64 K n (.f64 K m)) 1/2)) (sin.f64 M))) (.f64 (cos.f64 (.f64 (fma.f64 K n (.f64 K m)) 1/2)) (cos.f64 M)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 (fma.f64 K n (.f64 K m)) 1/2)) (cos.f64 M))) (sqrt.f64 (.f64 (cos.f64 (.f64 (fma.f64 K n (.f64 K m)) 1/2)) (cos.f64 M))) (.f64 (sin.f64 (.f64 (fma.f64 K n (*.f64 K m)) 1/2)) (sin.f64 M)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 K m) (.f64 K n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (fma.f64 K n (.f64 K m)) 1/2) (.f64 (fma.f64 K n (.f64 K m)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 K n) (.f64 K m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 K n (.f64 K m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 K n) 1) (.f64 K m))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 K n (.f64 K m)))) (cbrt.f64 (exp.f64 (fma.f64 K n (.f64 K m)))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 K n (.f64 K m))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 K n (.f64 K m)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 K n (.f64 K m)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 K n (.f64 K m)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 K n (.f64 K m))) (cbrt.f64 (pow.f64 (fma.f64 K n (.f64 K m)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 K n (.f64 K m)) 2)) (cbrt.f64 (fma.f64 K n (.f64 K m))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 K n (.f64 K m))) (sqrt.f64 (fma.f64 K n (.f64 K m))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 K n) 3) (pow.f64 (.f64 K m) 3)) (fma.f64 (.f64 K n) (.f64 K n) (-.f64 (pow.f64 (.f64 K m) 2) (.f64 (.f64 K n) (.f64 K m)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 K n) (.f64 K n)) (pow.f64 (.f64 K m) 2)) (-.f64 (.f64 K n) (.f64 K m)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 K n (.f64 K m)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 K n (.f64 K m)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 K n (.f64 K m))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 K n (.f64 K m))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 K n (.f64 K m)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 K n (.f64 K m))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 K n (.f64 K m)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 m) K) (exp.f64 (.f64 K n))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 K m))) (exp.f64 (.f64 K n))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 K n)) (+.f64 1 (expm1.f64 (.f64 K m)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 K n (.f64 K m)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 K n (.f64 K m))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 K n (.f64 K m))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 K n (.f64 K m))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 K n (*.f64 K m))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 K))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cbrt.f64 K))) (cbrt.f64 (exp.f64 (cbrt.f64 K))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 K)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 K)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 K)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 K))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 K) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 K))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 K)) 2) (cbrt.f64 (cbrt.f64 K)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 K)) (pow.f64 (cbrt.f64 (cbrt.f64 K)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 K 1/6) (pow.f64 K 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (.f64 K (cbrt.f64 K)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 K)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 K))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 K) 1/3) (pow.f64 (sqrt.f64 K) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 K 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 K) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 K) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 K)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 K 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 K) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 K))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 K)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 K))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 K)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 K)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 K)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 K) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 K)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 K) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 K) 2))) (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 K) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 K) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 K) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 K) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 K) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 K) (cbrt.f64 K))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 K) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cbrt.f64 K) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 K)) 2) (cbrt.f64 (.f64 K (cbrt.f64 K))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 K)) 2) (.f64 (cbrt.f64 (cbrt.f64 K)) (cbrt.f64 K)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 K (cbrt.f64 K))) (pow.f64 (cbrt.f64 (cbrt.f64 K)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 K) (pow.f64 K 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 K 1/6) (.f64 (pow.f64 K 1/6) (cbrt.f64 K)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 K) (pow.f64 (cbrt.f64 (cbrt.f64 K)) 2)) (cbrt.f64 (cbrt.f64 K)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 K (cbrt.f64 K)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 K) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 K) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 K K))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 K) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 K) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2/3 (log.f64 K)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2/3 (log.f64 K)) 1))))))

simplify144.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

947×	`neg-mul-1_binary64`
608×	`fma-def_binary64`
584×	`distribute-neg-out_binary64`
481×	`unsub-neg_binary64`
449×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	129	1759
1	386	1706
2	1142	1305
3	2525	1300
4	4031	1299
5	7524	1299

Stop Event

1×	node limit

Counts

200 → 169

Calls

Call 1

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

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

eval409.0ms (3.7%)

Compiler: Compiled 27387 to 14855 computations (45.8% saved)

prune160.0ms (1.5%)

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	610	16	626
Fresh	7	8	15
Picked	0	1	1
Done	4	1	5
Total	621	26	647

Error

1.3b

Counts

647 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	55.9b	(pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (exp.f64 (-.f64 (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2) (-.f64 l (-.f64 m n)))))) 3)
	12.1b	(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (cos.f64 (.f64 1/2 (.f64 n K))))
✓	16.1b	(.f64 (cos.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 (cbrt.f64 K) 2) (.f64 (cbrt.f64 K) n) (*.f64 K m)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	43.2b	(.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 K (+.f64 m n)) 3/2) 1/3) 2) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	16.0b	(.f64 (cos.f64 (-.f64 (/.f64 (fma.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 K)) 2) (.f64 (cbrt.f64 (cbrt.f64 K)) (cbrt.f64 K))) (.f64 (cbrt.f64 K) n) (*.f64 K m)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	9.4b	(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 K (.f64 n 1/2)))) 2) (cbrt.f64 (cos.f64 (.f64 K (.f64 n 1/2))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	23.8b	(.f64 (sqrt.f64 (pow.f64 (+.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)))) 2)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	1.7b	(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)) l))
	56.6b	(exp.f64 (+.f64 (-.f64 (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2) (-.f64 l (-.f64 m n))) (log.f64 (cos.f64 (.f64 K (*.f64 n 1/2))))))
	16.3b	(.f64 (sqrt.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 M)) 2)))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	9.4b	(.f64 (sqrt.f64 (log.f64 (exp.f64 (pow.f64 (cos.f64 (.f64 1/2 (*.f64 K n))) 2)))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	16.2b	(.f64 (sqrt.f64 (pow.f64 (.f64 3 (.f64 (cos.f64 (.f64 (+.f64 n m) (*.f64 K 1/2))) 1/3)) 2)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	44.6b	(.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (pow.f64 (.f64 K (+.f64 m n)) 3) 1/3) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	36.3b	(.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 -1/2 (.f64 K (.f64 m (sin.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))))) (.f64 (+.f64 (.f64 (.f64 -1/8 (.f64 K K)) (.f64 m m)) 1) (cos.f64 (-.f64 (.f64 K (*.f64 n 1/2)) M)))) 2)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	16.1b	(.f64 (cos.f64 (-.f64 (/.f64 (fma.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 K) 2))) (.f64 (cbrt.f64 K) n) (*.f64 K m)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	13.5b	(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (*.f64 1/2 m) M) 2)))
	16.0b	(.f64 (log.f64 (exp.f64 (.f64 (pow.f64 (cbrt.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)))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	16.3b	(.f64 (sqrt.f64 (pow.f64 (.f64 3 (+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)))) (cbrt.f64 (pow.f64 (exp.f64 1/3) (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M))))))) 2)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	9.4b	(.f64 (log.f64 (exp.f64 (cos.f64 (.f64 K (*.f64 n 1/2))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	10.8b	(.f64 (log1p.f64 (expm1.f64 (cos.f64 (.f64 K (*.f64 m 1/2))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
✓	10.8b	(.f64 (cos.f64 (.f64 K (*.f64 m 1/2))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	36.3b	(.f64 (sqrt.f64 (pow.f64 (.f64 3 (+.f64 (.f64 (sin.f64 (fma.f64 1/2 (.f64 K n) M)) (.f64 (.f64 K m) -1/6)) (.f64 (cos.f64 (fma.f64 1/2 (.f64 K n) M)) (+.f64 1/3 (.f64 (.f64 (.f64 K K) -1/24) (.f64 m m)))))) 2)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	23.8b	(.f64 (sqrt.f64 (pow.f64 (.f64 3 (+.f64 (.f64 1/3 (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) M))) (.f64 -1/6 (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m))))) 2)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	16.0b	(.f64 (-.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))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	9.4b	(.f64 (fabs.f64 (cos.f64 (.f64 1/2 (*.f64 K n)))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	9.4b	(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 K (*.f64 n 1/2)))) 3) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))

Compiler

Compiled 2059 to 1470 computations (28.6% saved)

localize29.0ms (0.3%)

Compiler: Compiled 89 to 41 computations (53.9% saved)

localize26.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (*.f64 1/2 m) M) 2))
✓	0.0b	(pow.f64 (-.f64 (*.f64 1/2 m) M) 2)

Compiler

Compiled 68 to 33 computations (51.5% saved)

series13.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	m	@	-inf	(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (*.f64 1/2 m) M) 2))
1.0ms	n	@	0	(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (*.f64 1/2 m) M) 2))
1.0ms	m	@	0	(pow.f64 (-.f64 (*.f64 1/2 m) M) 2)
1.0ms	m	@	inf	(pow.f64 (-.f64 (*.f64 1/2 m) M) 2)
1.0ms	m	@	-inf	(pow.f64 (-.f64 (*.f64 1/2 m) M) 2)

rewrite89.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

841×	`fma-def_binary64`
445×	`fma-neg_binary64`
288×	`expm1-udef_binary64`
288×	`log1p-udef_binary64`
223×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	31
1	332	29
2	4870	29

Stop Event

1×	node limit

Counts

2 → 156

Calls

Call 1

Inputs
(pow.f64 (-.f64 (*.f64 1/2 m) M) 2)
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (*.f64 1/2 m) M) 2))

Outputs

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fma.f64 (sqrt.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 1/2 m) M) 2))) (sqrt.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 1/2 m) M) 2))) (-.f64 (-.f64 n m) l))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (-.f64 (*.f64 1/2 m) M)) (-.f64 (*.f64 1/2 m) M) (-.f64 (-.f64 n m) l))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fabs.f64 (pow.f64 (cbrt.f64 (-.f64 n m)) 2)) (fabs.f64 (cbrt.f64 (-.f64 n m))) (neg.f64 (+.f64 (pow.f64 (-.f64 (*.f64 1/2 m) M) 2) l)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fabs.f64 (pow.f64 (cbrt.f64 (-.f64 n m)) 2)) (fabs.f64 (cbrt.f64 (-.f64 n m))) (-.f64 (neg.f64 l) (pow.f64 (-.f64 (*.f64 1/2 m) M) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fabs.f64 (pow.f64 (cbrt.f64 (-.f64 n m)) 2)) (fabs.f64 (cbrt.f64 (-.f64 n m))) (neg.f64 (-.f64 l (neg.f64 (pow.f64 (-.f64 (*.f64 1/2 m) M) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (pow.f64 (-.f64 (*.f64 1/2 m) M) 2) (-.f64 (-.f64 n m) l))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (-.f64 (-.f64 n m) l)) (-.f64 (*.f64 1/2 m) M)) (-.f64 (sqrt.f64 (-.f64 (-.f64 n m) l)) (-.f64 (*.f64 1/2 m) M)) (+.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 1/2 m) M) 2)) (pow.f64 (-.f64 (*.f64 1/2 m) M) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (-.f64 (-.f64 n m) l)) (-.f64 (*.f64 1/2 m) M)) (-.f64 (sqrt.f64 (-.f64 (-.f64 n m) l)) (-.f64 (*.f64 1/2 m) M)) (fma.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 1/2 m) M) 2)) 1 (pow.f64 (-.f64 (*.f64 1/2 m) M) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (-.f64 (-.f64 n m) l)) (-.f64 (*.f64 1/2 m) M)) (-.f64 (sqrt.f64 (-.f64 (-.f64 n m) l)) (-.f64 (*.f64 1/2 m) M)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/2 m) M)) 2)) (cbrt.f64 (pow.f64 (-.f64 (*.f64 1/2 m) M) 4)) (pow.f64 (-.f64 (*.f64 1/2 m) M) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (-.f64 n m)) (sqrt.f64 l)) (-.f64 (sqrt.f64 (-.f64 n m)) (sqrt.f64 l)) (neg.f64 (pow.f64 (-.f64 (*.f64 1/2 m) M) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (-.f64 n m)) (sqrt.f64 l)) (-.f64 (sqrt.f64 (-.f64 n m)) (sqrt.f64 l)) (*.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 1/2 m) M) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 n) (sqrt.f64 m)) (-.f64 (sqrt.f64 n) (sqrt.f64 m)) (neg.f64 (+.f64 (pow.f64 (-.f64 (*.f64 1/2 m) M) 2) l)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 n) (sqrt.f64 m)) (-.f64 (sqrt.f64 n) (sqrt.f64 m)) (-.f64 (neg.f64 l) (pow.f64 (-.f64 (*.f64 1/2 m) M) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 n) (sqrt.f64 m)) (-.f64 (sqrt.f64 n) (sqrt.f64 m)) (neg.f64 (-.f64 l (neg.f64 (pow.f64 (-.f64 (*.f64 1/2 m) M) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 1/2 m) M) 4))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 1/2 m) M)) 2) (-.f64 (-.f64 n m) l))))))

simplify74.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

713×	`fma-def_binary64`
497×	`sub-neg_binary64`
357×	`distribute-rgt-in_binary64`
300×	`cancel-sign-sub-inv_binary64`
294×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	1269
1	165	1190
2	401	1131
3	1221	1087
4	4593	1087

Stop Event

1×	node limit

Counts

228 → 194

Calls

Call 1

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

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

localize59.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(.f64 K (.f64 m 1/2))
✓	0.2b	(log1p.f64 (expm1.f64 (cos.f64 (.f64 K (.f64 m 1/2)))))
✓	0.6b	(expm1.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
	29.0b	(cos.f64 (.f64 K (.f64 m 1/2)))

Compiler

Compiled 150 to 77 computations (48.7% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	K	@	0	(expm1.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
1.0ms	m	@	0	(expm1.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
0.0ms	K	@	-inf	(expm1.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
0.0ms	K	@	inf	(expm1.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
0.0ms	m	@	-inf	(expm1.f64 (cos.f64 (.f64 K (.f64 m 1/2))))

rewrite58.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

733×	`pow1_binary64`
675×	`expm1-log1p-u_binary64`
674×	`add-log-exp_binary64`
674×	`log1p-expm1-u_binary64`
659×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	162	20
2	1832	20

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

Inputs
(expm1.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
(log1p.f64 (expm1.f64 (cos.f64 (.f64 K (.f64 m 1/2)))))

Outputs

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

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

simplify53.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

620×	`associate-+l+_binary64`
552×	`distribute-rgt-out_binary64`
551×	`fma-def_binary64`
550×	`associate-l_binary64`
478×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	748
1	227	720
2	765	704
3	3674	698

Stop Event

1×	node limit

Counts

82 → 54

Calls

Call 1

Inputs
(-.f64 (E.f64) 1)
(-.f64 (+.f64 (E.f64) (.f64 -1/8 (.f64 (E.f64) (*.f64 (pow.f64 K 2) (pow.f64 m 2))))) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (.f64 -1/8 (.f64 (E.f64) (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (.f64 (E.f64) (.f64 (pow.f64 K 4) (+.f64 (.f64 1/384 (pow.f64 m 4)) (*.f64 1/128 (pow.f64 m 4))))))) 1)
(-.f64 (+.f64 (.f64 (E.f64) (.f64 (pow.f64 K 6) (+.f64 (.f64 -1/46080 (pow.f64 m 6)) (.f64 -1/1536 (pow.f64 m 6))))) (+.f64 (E.f64) (+.f64 (.f64 -1/8 (.f64 (E.f64) (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (.f64 (E.f64) (.f64 (pow.f64 K 4) (+.f64 (.f64 1/384 (pow.f64 m 4)) (*.f64 1/128 (pow.f64 m 4)))))))) 1)
(-.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K m)))) 1)
(-.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K m)))) 1)
(-.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K m)))) 1)
(-.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K m)))) 1)
(-.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K m)))) 1)
(-.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K m)))) 1)
(-.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K m)))) 1)
(-.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K m)))) 1)
(-.f64 (E.f64) 1)
(-.f64 (+.f64 (E.f64) (.f64 -1/8 (.f64 (E.f64) (*.f64 (pow.f64 K 2) (pow.f64 m 2))))) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (.f64 -1/8 (.f64 (E.f64) (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (.f64 (E.f64) (.f64 (+.f64 (.f64 1/128 (pow.f64 K 4)) (*.f64 1/384 (pow.f64 K 4))) (pow.f64 m 4))))) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (.f64 -1/8 (.f64 (E.f64) (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (+.f64 (.f64 (E.f64) (.f64 (pow.f64 m 6) (+.f64 (.f64 -1/46080 (pow.f64 K 6)) (.f64 -1/1536 (pow.f64 K 6))))) (.f64 (E.f64) (.f64 (+.f64 (.f64 1/128 (pow.f64 K 4)) (*.f64 1/384 (pow.f64 K 4))) (pow.f64 m 4)))))) 1)
(-.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K m)))) 1)
(-.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K m)))) 1)
(-.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K m)))) 1)
(-.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K m)))) 1)
(-.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K m)))) 1)
(-.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K m)))) 1)
(-.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K m)))) 1)
(-.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K m)))) 1)
1
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) 1)
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4))) (.f64 -1/46080 (.f64 (pow.f64 K 6) (pow.f64 m 6))))))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
1
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) 1)
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4))) (.f64 -1/46080 (.f64 (pow.f64 K 6) (pow.f64 m 6))))))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))

Outputs
(-.f64 (E.f64) 1)
(+.f64 (E.f64) -1)
(expm1.f64 1)
(-.f64 (+.f64 (E.f64) (.f64 -1/8 (.f64 (E.f64) (*.f64 (pow.f64 K 2) (pow.f64 m 2))))) 1)
(+.f64 (E.f64) (-.f64 (.f64 (.f64 -1/8 (E.f64)) (.f64 (.f64 K K) (*.f64 m m))) 1))
(+.f64 (E.f64) (fma.f64 -1/8 (.f64 (.f64 K K) (.f64 (.f64 m m) (E.f64))) -1))
(fma.f64 (E.f64) (.f64 K (.f64 K (.f64 (.f64 -1/8 m) m))) (expm1.f64 1))
(fma.f64 (fma.f64 (.f64 K K) (.f64 -1/8 (*.f64 m m)) 1) (E.f64) -1)
(-.f64 (+.f64 (E.f64) (+.f64 (.f64 -1/8 (.f64 (E.f64) (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (.f64 (E.f64) (.f64 (pow.f64 K 4) (+.f64 (.f64 1/384 (pow.f64 m 4)) (*.f64 1/128 (pow.f64 m 4))))))) 1)
(+.f64 (E.f64) (-.f64 (fma.f64 -1/8 (.f64 (E.f64) (.f64 (.f64 K K) (.f64 m m))) (.f64 (.f64 (E.f64) (pow.f64 K 4)) (*.f64 (pow.f64 m 4) 1/96))) 1))
(+.f64 (fma.f64 (E.f64) (.f64 (pow.f64 m 4) (.f64 (pow.f64 K 4) 1/96)) (.f64 -1/8 (.f64 (.f64 K K) (.f64 (*.f64 m m) (E.f64))))) (expm1.f64 1))
(+.f64 (expm1.f64 1) (.f64 (E.f64) (+.f64 (.f64 K (.f64 K (.f64 (.f64 -1/8 m) m))) (.f64 (pow.f64 m 4) (*.f64 (pow.f64 K 4) 1/96)))))
(+.f64 (.f64 (E.f64) (+.f64 (fma.f64 (.f64 K K) (.f64 -1/8 (.f64 m m)) 1) (.f64 (pow.f64 m 4) (.f64 (pow.f64 K 4) 1/96)))) -1)
(-.f64 (+.f64 (.f64 (E.f64) (.f64 (pow.f64 K 6) (+.f64 (.f64 -1/46080 (pow.f64 m 6)) (.f64 -1/1536 (pow.f64 m 6))))) (+.f64 (E.f64) (+.f64 (.f64 -1/8 (.f64 (E.f64) (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (.f64 (E.f64) (.f64 (pow.f64 K 4) (+.f64 (.f64 1/384 (pow.f64 m 4)) (*.f64 1/128 (pow.f64 m 4)))))))) 1)
(+.f64 (fma.f64 (E.f64) (.f64 (pow.f64 K 6) (.f64 (pow.f64 m 6) -31/46080)) (+.f64 (E.f64) (fma.f64 -1/8 (.f64 (E.f64) (.f64 (.f64 K K) (.f64 m m))) (.f64 (.f64 (E.f64) (pow.f64 K 4)) (*.f64 (pow.f64 m 4) 1/96))))) -1)
(+.f64 (fma.f64 (E.f64) (fma.f64 (pow.f64 m 6) (.f64 (pow.f64 K 6) -31/46080) (.f64 (pow.f64 m 4) (.f64 (pow.f64 K 4) 1/96))) (.f64 -1/8 (.f64 (.f64 K K) (.f64 (.f64 m m) (E.f64))))) (expm1.f64 1))
(+.f64 (expm1.f64 1) (.f64 (E.f64) (+.f64 (.f64 K (.f64 K (.f64 (.f64 -1/8 m) m))) (fma.f64 (pow.f64 m 4) (.f64 (pow.f64 K 4) 1/96) (.f64 (pow.f64 K 6) (.f64 (pow.f64 m 6) -31/46080))))))
(+.f64 (.f64 (E.f64) (+.f64 (fma.f64 (.f64 K K) (.f64 -1/8 (.f64 m m)) 1) (fma.f64 (pow.f64 m 4) (.f64 (pow.f64 K 4) 1/96) (.f64 (*.f64 (pow.f64 K 6) (pow.f64 m 6)) -31/46080)))) -1)
(-.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K m)))) 1)
(expm1.f64 (cos.f64 (.f64 1/2 (.f64 K m))))
(expm1.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
(-.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K m)))) 1)
(expm1.f64 (cos.f64 (.f64 1/2 (.f64 K m))))
(expm1.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
(-.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K m)))) 1)
(expm1.f64 (cos.f64 (.f64 1/2 (.f64 K m))))
(expm1.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
(-.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K m)))) 1)
(expm1.f64 (cos.f64 (.f64 1/2 (.f64 K m))))
(expm1.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
(-.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K m)))) 1)
(expm1.f64 (cos.f64 (.f64 1/2 (.f64 K m))))
(expm1.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
(-.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K m)))) 1)
(expm1.f64 (cos.f64 (.f64 1/2 (.f64 K m))))
(expm1.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
(-.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K m)))) 1)
(expm1.f64 (cos.f64 (.f64 1/2 (.f64 K m))))
(expm1.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
(-.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K m)))) 1)
(expm1.f64 (cos.f64 (.f64 1/2 (.f64 K m))))
(expm1.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
(-.f64 (E.f64) 1)
(+.f64 (E.f64) -1)
(expm1.f64 1)
(-.f64 (+.f64 (E.f64) (.f64 -1/8 (.f64 (E.f64) (*.f64 (pow.f64 K 2) (pow.f64 m 2))))) 1)
(+.f64 (E.f64) (-.f64 (.f64 (.f64 -1/8 (E.f64)) (.f64 (.f64 K K) (*.f64 m m))) 1))
(+.f64 (E.f64) (fma.f64 -1/8 (.f64 (.f64 K K) (.f64 (.f64 m m) (E.f64))) -1))
(fma.f64 (E.f64) (.f64 K (.f64 K (.f64 (.f64 -1/8 m) m))) (expm1.f64 1))
(fma.f64 (fma.f64 (.f64 K K) (.f64 -1/8 (*.f64 m m)) 1) (E.f64) -1)
(-.f64 (+.f64 (E.f64) (+.f64 (.f64 -1/8 (.f64 (E.f64) (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (.f64 (E.f64) (.f64 (+.f64 (.f64 1/128 (pow.f64 K 4)) (*.f64 1/384 (pow.f64 K 4))) (pow.f64 m 4))))) 1)
(+.f64 (E.f64) (-.f64 (fma.f64 -1/8 (.f64 (E.f64) (.f64 (.f64 K K) (.f64 m m))) (.f64 (.f64 (E.f64) (pow.f64 K 4)) (*.f64 (pow.f64 m 4) 1/96))) 1))
(+.f64 (fma.f64 (E.f64) (.f64 (pow.f64 m 4) (.f64 (pow.f64 K 4) 1/96)) (.f64 -1/8 (.f64 (.f64 K K) (.f64 (*.f64 m m) (E.f64))))) (expm1.f64 1))
(+.f64 (expm1.f64 1) (.f64 (E.f64) (+.f64 (.f64 K (.f64 K (.f64 (.f64 -1/8 m) m))) (.f64 (pow.f64 m 4) (*.f64 (pow.f64 K 4) 1/96)))))
(+.f64 (.f64 (E.f64) (+.f64 (fma.f64 (.f64 K K) (.f64 -1/8 (.f64 m m)) 1) (.f64 (pow.f64 m 4) (.f64 (pow.f64 K 4) 1/96)))) -1)
(-.f64 (+.f64 (E.f64) (+.f64 (.f64 -1/8 (.f64 (E.f64) (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (+.f64 (.f64 (E.f64) (.f64 (pow.f64 m 6) (+.f64 (.f64 -1/46080 (pow.f64 K 6)) (.f64 -1/1536 (pow.f64 K 6))))) (.f64 (E.f64) (.f64 (+.f64 (.f64 1/128 (pow.f64 K 4)) (*.f64 1/384 (pow.f64 K 4))) (pow.f64 m 4)))))) 1)
(+.f64 (fma.f64 (E.f64) (.f64 (pow.f64 K 6) (.f64 (pow.f64 m 6) -31/46080)) (+.f64 (E.f64) (fma.f64 -1/8 (.f64 (E.f64) (.f64 (.f64 K K) (.f64 m m))) (.f64 (.f64 (E.f64) (pow.f64 K 4)) (*.f64 (pow.f64 m 4) 1/96))))) -1)
(+.f64 (fma.f64 (E.f64) (fma.f64 (pow.f64 m 6) (.f64 (pow.f64 K 6) -31/46080) (.f64 (pow.f64 m 4) (.f64 (pow.f64 K 4) 1/96))) (.f64 -1/8 (.f64 (.f64 K K) (.f64 (.f64 m m) (E.f64))))) (expm1.f64 1))
(+.f64 (expm1.f64 1) (.f64 (E.f64) (+.f64 (.f64 K (.f64 K (.f64 (.f64 -1/8 m) m))) (fma.f64 (pow.f64 m 4) (.f64 (pow.f64 K 4) 1/96) (.f64 (pow.f64 K 6) (.f64 (pow.f64 m 6) -31/46080))))))
(+.f64 (.f64 (E.f64) (+.f64 (fma.f64 (.f64 K K) (.f64 -1/8 (.f64 m m)) 1) (fma.f64 (pow.f64 m 4) (.f64 (pow.f64 K 4) 1/96) (.f64 (*.f64 (pow.f64 K 6) (pow.f64 m 6)) -31/46080)))) -1)
(-.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K m)))) 1)
(expm1.f64 (cos.f64 (.f64 1/2 (.f64 K m))))
(expm1.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
(-.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K m)))) 1)
(expm1.f64 (cos.f64 (.f64 1/2 (.f64 K m))))
(expm1.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
(-.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K m)))) 1)
(expm1.f64 (cos.f64 (.f64 1/2 (.f64 K m))))
(expm1.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
(-.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K m)))) 1)
(expm1.f64 (cos.f64 (.f64 1/2 (.f64 K m))))
(expm1.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
(-.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K m)))) 1)
(expm1.f64 (cos.f64 (.f64 1/2 (.f64 K m))))
(expm1.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
(-.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K m)))) 1)
(expm1.f64 (cos.f64 (.f64 1/2 (.f64 K m))))
(expm1.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
(-.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K m)))) 1)
(expm1.f64 (cos.f64 (.f64 1/2 (.f64 K m))))
(expm1.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
(-.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K m)))) 1)
(expm1.f64 (cos.f64 (.f64 1/2 (.f64 K m))))
(expm1.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
1
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) 1)
(fma.f64 -1/8 (.f64 (.f64 K K) (*.f64 m m)) 1)
(fma.f64 (.f64 -1/8 (.f64 K K)) (*.f64 m m) 1)
(fma.f64 (.f64 K K) (.f64 (*.f64 -1/8 m) m) 1)
(fma.f64 (.f64 K K) (.f64 -1/8 (*.f64 m m)) 1)
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)))))
(+.f64 (fma.f64 -1/8 (.f64 (.f64 K K) (.f64 m m)) 1) (.f64 1/384 (*.f64 (pow.f64 K 4) (pow.f64 m 4))))
(fma.f64 -1/8 (.f64 K (.f64 K (.f64 m m))) (fma.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)) 1))
(fma.f64 (pow.f64 m 4) (.f64 (pow.f64 K 4) 1/384) (fma.f64 (.f64 K K) (.f64 (.f64 -1/8 m) m) 1))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4))) (.f64 -1/46080 (.f64 (pow.f64 K 6) (pow.f64 m 6))))))
(+.f64 (fma.f64 -1/8 (.f64 (.f64 K K) (.f64 m m)) 1) (fma.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)) (.f64 -1/46080 (.f64 (pow.f64 K 6) (pow.f64 m 6)))))
(+.f64 (fma.f64 (.f64 -1/8 (.f64 K K)) (.f64 m m) 1) (fma.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)) (.f64 (pow.f64 K 6) (.f64 -1/46080 (pow.f64 m 6)))))
(fma.f64 -1/8 (.f64 K (.f64 K (.f64 m m))) (fma.f64 (pow.f64 K 4) (.f64 1/384 (pow.f64 m 4)) (fma.f64 (pow.f64 K 6) (*.f64 -1/46080 (pow.f64 m 6)) 1)))
(fma.f64 -1/8 (.f64 K (.f64 K (.f64 m m))) (fma.f64 (pow.f64 K 4) (.f64 1/384 (pow.f64 m 4)) (fma.f64 -1/46080 (*.f64 (pow.f64 K 6) (pow.f64 m 6)) 1)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
1
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) 1)
(fma.f64 -1/8 (.f64 (.f64 K K) (*.f64 m m)) 1)
(fma.f64 (.f64 -1/8 (.f64 K K)) (*.f64 m m) 1)
(fma.f64 (.f64 K K) (.f64 (*.f64 -1/8 m) m) 1)
(fma.f64 (.f64 K K) (.f64 -1/8 (*.f64 m m)) 1)
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)))))
(+.f64 (fma.f64 -1/8 (.f64 (.f64 K K) (.f64 m m)) 1) (.f64 1/384 (*.f64 (pow.f64 K 4) (pow.f64 m 4))))
(fma.f64 -1/8 (.f64 K (.f64 K (.f64 m m))) (fma.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)) 1))
(fma.f64 (pow.f64 m 4) (.f64 (pow.f64 K 4) 1/384) (fma.f64 (.f64 K K) (.f64 (.f64 -1/8 m) m) 1))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4))) (.f64 -1/46080 (.f64 (pow.f64 K 6) (pow.f64 m 6))))))
(+.f64 (fma.f64 -1/8 (.f64 (.f64 K K) (.f64 m m)) 1) (fma.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)) (.f64 -1/46080 (.f64 (pow.f64 K 6) (pow.f64 m 6)))))
(+.f64 (fma.f64 (.f64 -1/8 (.f64 K K)) (.f64 m m) 1) (fma.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)) (.f64 (pow.f64 K 6) (.f64 -1/46080 (pow.f64 m 6)))))
(fma.f64 -1/8 (.f64 K (.f64 K (.f64 m m))) (fma.f64 (pow.f64 K 4) (.f64 1/384 (pow.f64 m 4)) (fma.f64 (pow.f64 K 6) (*.f64 -1/46080 (pow.f64 m 6)) 1)))
(fma.f64 -1/8 (.f64 K (.f64 K (.f64 m m))) (fma.f64 (pow.f64 K 4) (.f64 1/384 (pow.f64 m 4)) (fma.f64 -1/46080 (*.f64 (pow.f64 K 6) (pow.f64 m 6)) 1)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))

localize115.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	8.6b	(.f64 (sqrt.f64 (pow.f64 (+.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)))) 2)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
✓	9.2b	(sqrt.f64 (pow.f64 (+.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)))) 2))
✓	24.8b	(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
✓	25.4b	(sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))

Compiler

Compiled 274 to 135 computations (50.7% saved)

series62.0ms (0.6%)

Counts

4 → 140

Calls

45 calls:

Time	Variable		Point	Expression
15.0ms	K	@	inf	(sqrt.f64 (pow.f64 (+.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)))) 2))
5.0ms	K	@	-inf	(sqrt.f64 (pow.f64 (+.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)))) 2))
4.0ms	n	@	0	(.f64 (sqrt.f64 (pow.f64 (+.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)))) 2)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
3.0ms	m	@	0	(.f64 (sqrt.f64 (pow.f64 (+.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)))) 2)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
2.0ms	M	@	0	(.f64 (sqrt.f64 (pow.f64 (+.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)))) 2)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))

rewrite84.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

366×	`add-sqr-sqrt_binary64`
358×	`pow1_binary64`
356×	`*-un-lft-identity_binary64`
342×	`add-log-exp_binary64`
341×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	124
1	717	116

Stop Event

1×	node limit

Counts

4 → 94

Calls

Call 1

Inputs
(sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(sqrt.f64 (pow.f64 (+.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)))) 2))
(.f64 (sqrt.f64 (pow.f64 (+.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)))) 2)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (cos.f64 M) (neg.f64 (.f64 (sin.f64 M) (cos.f64 (.f64 1/2 (.f64 n K)))))) (fma.f64 (neg.f64 (sin.f64 M)) (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 (sin.f64 M) (cos.f64 (.f64 1/2 (.f64 n K))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (cos.f64 (neg.f64 M))) (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (sin.f64 (neg.f64 M))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (cos.f64 M)) (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (sin.f64 M)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) 2)) (cbrt.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))) (sqrt.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (cos.f64 M) (neg.f64 (.f64 (cos.f64 (.f64 1/2 (*.f64 n K))) (sin.f64 M))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (cos.f64 M)) (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (sin.f64 M)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (cos.f64 (neg.f64 M))) (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (sin.f64 (neg.f64 M))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))) 2) (cbrt.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))) (sqrt.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (cos.f64 M) (.f64 (sin.f64 (.f64 1/2 (*.f64 n K))) (sin.f64 M)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m))) (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m)) (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m)) (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m)) (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)))) 2) (cbrt.f64 (fma.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m)) (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) 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simplify182.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

474×	`associate-r_binary64`
465×	`fma-def_binary64`
382×	`associate-l_binary64`
351×	`distribute-rgt-neg-out_binary64`
322×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	405	9206
1	1343	8732
2	5105	8067

Stop Event

1×	node limit

Counts

234 → 214

Calls

Call 1

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

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

localize77.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.6b	(cbrt.f64 K)
✓	1.4b	(fma.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 K) 2))) (.f64 (cbrt.f64 K) n) (.f64 K m))
✓	2.7b	(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 K) 2)))
✓	36.1b	(cos.f64 (-.f64 (/.f64 (fma.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 K) 2))) (.f64 (cbrt.f64 K) n) (.f64 K m)) 2) M))

Compiler

Compiled 222 to 100 computations (55% saved)

series9.0ms (0.1%)

Counts

3 → 75

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	n	@	0	(fma.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 K) 2))) (.f64 (cbrt.f64 K) n) (.f64 K m))
0.0ms	K	@	0	(cos.f64 (-.f64 (/.f64 (fma.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 K) 2))) (.f64 (cbrt.f64 K) n) (.f64 K m)) 2) M))
0.0ms	m	@	0	(cos.f64 (-.f64 (/.f64 (fma.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 K) 2))) (.f64 (cbrt.f64 K) n) (.f64 K m)) 2) M))
0.0ms	n	@	0	(cos.f64 (-.f64 (/.f64 (fma.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 K) 2))) (.f64 (cbrt.f64 K) n) (.f64 K m)) 2) M))
0.0ms	K	@	-inf	(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 K) 2)))

rewrite85.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

861×	`prod-diff_binary64`
752×	`log-prod_binary64`
317×	`fma-def_binary64`
287×	`expm1-udef_binary64`
287×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	50
1	325	34
2	4106	30

Stop Event

1×	node limit

Counts

3 → 109

Calls

Call 1

Inputs

(cos.f64 (-.f64 (/.f64 (fma.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 K) 2))) (*.f64 (cbrt.f64 K) n) (*.f64 K m)) 2) M))

(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 K) 2)))

(fma.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 K) 2))) (*.f64 (cbrt.f64 K) n) (*.f64 K m))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 K) (cbrt.f64 K) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 K) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 K) 2))) (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 K) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 K) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 K) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 K) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (cbrt.f64 K) (cbrt.f64 K) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 K) (cbrt.f64 K))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 K) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 K) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 K)) 2) (cbrt.f64 (*.f64 K (cbrt.f64 K))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 K)) 2) (*.f64 (cbrt.f64 (cbrt.f64 K)) (cbrt.f64 K)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 K (cbrt.f64 K))) (pow.f64 (cbrt.f64 (cbrt.f64 K)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 K 1/6) (*.f64 (pow.f64 K 1/6) (cbrt.f64 K)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 K) (pow.f64 K 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 K) (pow.f64 (cbrt.f64 (cbrt.f64 K)) 2)) (cbrt.f64 (cbrt.f64 K)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 (cbrt.f64 K) (cbrt.f64 K) 1) 3) 1) (fma.f64 (fma.f64 (cbrt.f64 K) (cbrt.f64 K) 1) (fma.f64 (cbrt.f64 K) (cbrt.f64 K) 1) (+.f64 1 (*.f64 (fma.f64 (cbrt.f64 K) (cbrt.f64 K) 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (fma.f64 (cbrt.f64 K) (cbrt.f64 K) 1) (fma.f64 (cbrt.f64 K) (cbrt.f64 K) 1) -1) (+.f64 (fma.f64 (cbrt.f64 K) (cbrt.f64 K) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 K 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 K) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 K) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 K K) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 K)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 K (cbrt.f64 K)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 K) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 K) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 K K))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 K) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2/3 (log.f64 K)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 K)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (cbrt.f64 K) (cbrt.f64 K) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 (cbrt.f64 K) (cbrt.f64 K) 1)) (cbrt.f64 (fma.f64 (cbrt.f64 K) (cbrt.f64 K) 1))) (cbrt.f64 (fma.f64 (cbrt.f64 K) (cbrt.f64 K) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (cbrt.f64 K)) (hypot.f64 1 (cbrt.f64 K)) -1)))))

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

simplify97.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

947×	`neg-mul-1_binary64`
608×	`fma-def_binary64`
584×	`distribute-neg-out_binary64`
481×	`unsub-neg_binary64`
449×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	129	1759
1	386	1706
2	1142	1305
3	2525	1300
4	4031	1299
5	7524	1299

Stop Event

1×	node limit

Counts

184 → 153

Calls

Call 1

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

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

eval654.0ms (5.9%)

Compiler: Compiled 31115 to 16481 computations (47% saved)

prune149.0ms (1.4%)

Pruning

29 alts after pruning (24 fresh and 5 done)

	Pruned	Kept	Total
New	699	6	705
Fresh	1	18	19
Picked	0	1	1
Done	2	4	6
Total	702	29	731

Error

1.3b

Counts

731 → 29

Alt Table

Click to see full alt table

Status	Error	Program
	55.9b	(pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (exp.f64 (-.f64 (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2) (-.f64 l (-.f64 m n)))))) 3)
	12.1b	(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (cos.f64 (.f64 1/2 (.f64 n K))))
	27.2b	(exp.f64 (.f64 m (.f64 m -1/4)))
✓	16.1b	(.f64 (cos.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 (cbrt.f64 K) 2) (.f64 (cbrt.f64 K) n) (*.f64 K m)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	29.4b	(exp.f64 (*.f64 M (neg.f64 M)))
	43.2b	(.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 K (+.f64 m n)) 3/2) 1/3) 2) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	9.4b	(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 K (.f64 n 1/2)))) 2) (cbrt.f64 (cos.f64 (.f64 K (.f64 n 1/2))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	31.0b	(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 M M)))
✓	1.7b	(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)) l))
	16.3b	(.f64 (fabs.f64 (fma.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M)))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	56.6b	(exp.f64 (+.f64 (-.f64 (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2) (-.f64 l (-.f64 m n))) (log.f64 (cos.f64 (.f64 K (*.f64 n 1/2))))))
	16.3b	(.f64 (sqrt.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 M)) 2)))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	9.4b	(.f64 (sqrt.f64 (log.f64 (exp.f64 (pow.f64 (cos.f64 (.f64 1/2 (*.f64 K n))) 2)))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	16.2b	(.f64 (sqrt.f64 (pow.f64 (.f64 3 (.f64 (cos.f64 (.f64 (+.f64 n m) (*.f64 K 1/2))) 1/3)) 2)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	44.6b	(.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (pow.f64 (.f64 K (+.f64 m n)) 3) 1/3) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	36.3b	(.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 -1/2 (.f64 K (.f64 m (sin.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))))) (.f64 (+.f64 (.f64 (.f64 -1/8 (.f64 K K)) (.f64 m m)) 1) (cos.f64 (-.f64 (.f64 K (*.f64 n 1/2)) M)))) 2)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	23.8b	(.f64 (sqrt.f64 (pow.f64 (.f64 3 (+.f64 (.f64 1/3 (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) M))) (.f64 -1/6 (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m))))) 2)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	16.0b	(.f64 (cos.f64 (-.f64 (/.f64 (fma.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 K)) 2) (.f64 (cbrt.f64 (cbrt.f64 K)) (cbrt.f64 K))) (.f64 (cbrt.f64 K) n) (*.f64 K m)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	45.0b	(exp.f64 (neg.f64 l))
	16.0b	(.f64 (log.f64 (exp.f64 (.f64 (pow.f64 (cbrt.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)))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	16.3b	(.f64 (sqrt.f64 (pow.f64 (.f64 3 (+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)))) (cbrt.f64 (pow.f64 (exp.f64 1/3) (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M))))))) 2)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	9.4b	(.f64 (log.f64 (exp.f64 (cos.f64 (.f64 K (*.f64 n 1/2))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
✓	10.8b	(.f64 (log1p.f64 (expm1.f64 (cos.f64 (.f64 K (*.f64 m 1/2))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
✓	10.8b	(.f64 (cos.f64 (.f64 K (*.f64 m 1/2))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	36.3b	(.f64 (sqrt.f64 (pow.f64 (.f64 3 (+.f64 (.f64 (sin.f64 (fma.f64 1/2 (.f64 K n) M)) (.f64 (.f64 K m) -1/6)) (.f64 (cos.f64 (fma.f64 1/2 (.f64 K n) M)) (+.f64 1/3 (.f64 (.f64 (.f64 K K) -1/24) (.f64 m m)))))) 2)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	16.0b	(.f64 (-.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))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
✓	16.1b	(.f64 (cos.f64 (-.f64 (/.f64 (fma.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 K) 2))) (.f64 (cbrt.f64 K) n) (*.f64 K m)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	9.4b	(.f64 (fabs.f64 (cos.f64 (.f64 1/2 (*.f64 K n)))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	9.4b	(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 K (*.f64 n 1/2)))) 3) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))

Compiler

Compiled 1087 to 777 computations (28.5% saved)

regimes186.0ms (1.7%)

Counts

52 → 1

Calls

Call 1

Inputs
(exp.f64 (neg.f64 l))
(exp.f64 (*.f64 M (neg.f64 M)))
(exp.f64 (.f64 m (.f64 m -1/4)))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 M M)))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (*.f64 1/2 m) M) 2)))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)) l))
(*.f64 1 (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 M) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (cos.f64 (.f64 1/2 (.f64 n K))))
(exp.f64 (+.f64 (-.f64 (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2) (-.f64 l (-.f64 m n))) (log.f64 (cos.f64 (.f64 K (*.f64 n 1/2))))))
(.f64 (cos.f64 (.f64 K (*.f64 n 1/2))) (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 K (*.f64 m 1/2))) (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 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (exp.f64 (-.f64 (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2) (-.f64 l (-.f64 m n)))))) 3)
(.f64 (fabs.f64 (cos.f64 (.f64 1/2 (*.f64 K n)))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (log.f64 (exp.f64 (cos.f64 (.f64 K (*.f64 n 1/2))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (log1p.f64 (expm1.f64 (cos.f64 (.f64 K (*.f64 m 1/2))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (log.f64 (exp.f64 (cos.f64 (.f64 K (*.f64 n 1/2))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (log.f64 (exp.f64 (cos.f64 (.f64 K (*.f64 m 1/2))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 K (*.f64 n 1/2)))) 3) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (sqrt.f64 (pow.f64 (cos.f64 (.f64 K (*.f64 n 1/2))) 2)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 m n) 1/2)) M))) 3) (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 (pow.f64 (sqrt.f64 (.f64 K (+.f64 m n))) 2) 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 (pow.f64 (pow.f64 (.f64 K (+.f64 m n)) 3) 1/3) 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 (sqrt.f64 (pow.f64 (.f64 3 (.f64 (cos.f64 (.f64 (+.f64 n m) (*.f64 K 1/2))) 1/3)) 2)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (log1p.f64 (expm1.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) (neg.f64 M))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (log.f64 (exp.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) (neg.f64 M))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) (neg.f64 M))) 2)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) (neg.f64 M)))) 3) (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 (pow.f64 (pow.f64 (pow.f64 (.f64 K (+.f64 m n)) 3/2) 1/3) 2) 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 (sqrt.f64 (pow.f64 (.f64 3 (.f64 1/3 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)))) 2)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (fabs.f64 (fma.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M)))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (-.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))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (sqrt.f64 (pow.f64 (+.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)))) 2)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (sqrt.f64 (pow.f64 (.f64 3 (+.f64 (.f64 1/3 (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) M))) (.f64 -1/6 (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m))))) 2)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 -1/2 (.f64 K (.f64 m (sin.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))))) (.f64 (+.f64 (.f64 (.f64 -1/8 (.f64 K K)) (.f64 m m)) 1) (cos.f64 (-.f64 (.f64 K (*.f64 n 1/2)) M)))) 2)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (sqrt.f64 (log.f64 (exp.f64 (pow.f64 (cos.f64 (.f64 1/2 (*.f64 K n))) 2)))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 K (.f64 n 1/2)))) 2) (cbrt.f64 (cos.f64 (.f64 K (.f64 n 1/2))))) (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 (fma.f64 (pow.f64 (cbrt.f64 K) 2) (.f64 (cbrt.f64 K) n) (*.f64 K m)) 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 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))) 2) (cbrt.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (sqrt.f64 (log.f64 (exp.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)) 2)))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (sqrt.f64 (pow.f64 (.f64 3 (+.f64 (.f64 (sin.f64 (fma.f64 1/2 (.f64 K n) M)) (.f64 (.f64 K m) -1/6)) (.f64 (cos.f64 (fma.f64 1/2 (.f64 K n) M)) (+.f64 1/3 (.f64 (.f64 (.f64 K K) -1/24) (.f64 m m)))))) 2)) (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 (fma.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 K) 2))) (.f64 (cbrt.f64 K) n) (*.f64 K m)) 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 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) (neg.f64 M)))) 2) (cbrt.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) (neg.f64 M))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (sqrt.f64 (pow.f64 (+.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))))) 2)) (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 (fma.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 K)) 2) (.f64 (cbrt.f64 (cbrt.f64 K)) (cbrt.f64 K))) (.f64 (cbrt.f64 K) n) (*.f64 K m)) 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 (fma.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 K)) 2) (.f64 (cbrt.f64 (cbrt.f64 K)) (cbrt.f64 K))) (.f64 (cbrt.f64 K) n) (*.f64 K m)) 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 (log.f64 (exp.f64 (.f64 (pow.f64 (cbrt.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)))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) (neg.f64 M))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) 1/2) (neg.f64 M))))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 (fma.f64 (.f64 K (sqrt.f64 (.f64 (+.f64 m n) 1/2))) (sqrt.f64 (.f64 (+.f64 m n) 1/2)) (neg.f64 (.f64 (sqrt.f64 M) (.f64 -1 (sqrt.f64 M))))) (fma.f64 (neg.f64 (sqrt.f64 M)) (.f64 -1 (sqrt.f64 M)) (.f64 (sqrt.f64 M) (*.f64 -1 (sqrt.f64 M)))))) 2)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (sqrt.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 M)) 2)))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (sqrt.f64 (pow.f64 (.f64 3 (+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)))) (cbrt.f64 (pow.f64 (exp.f64 1/3) (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/3) (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) M))))))) 2)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))

Outputs
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)) l))

Calls

6 calls:

26.0ms	m
26.0ms	l
26.0ms	n
25.0ms	K
25.0ms	M

Results

Error	Segments	Branch
1.7b	1	`K`
1.7b	1	`m`
1.7b	1	`n`
1.7b	1	`M`
1.7b	1	`l`
1.7b	1	`(.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 1812 to 989 computations (45.4% saved)

regimes83.0ms (0.8%)

Counts

5 → 3

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 M (neg.f64 M)))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (*.f64 1/2 m) M) 2)))
(exp.f64 (*.f64 M (neg.f64 M)))

Calls

5 calls:

30.0ms	m
16.0ms	n
14.0ms	M
10.0ms	K
9.0ms	l

Results

Error	Segments	Branch
13.5b	1	`K`
11.2b	3	`m`
12.3b	2	`n`
10.9b	3	`M`
12.0b	2	`l`

Compiler

Compiled 75 to 52 computations (30.7% saved)

bsearch115.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
43.0ms	0.41504941807140094	4034.758856658401
71.0ms	-0.0004583516628081433	-7.683658110625916e-10

Compiler

Compiled 42 to 30 computations (28.6% saved)

regimes95.0ms (0.9%)

Counts

4 → 3

Calls

Call 1

Inputs
(exp.f64 (neg.f64 l))
(exp.f64 (*.f64 M (neg.f64 M)))
(exp.f64 (.f64 m (.f64 m -1/4)))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 M M)))

Outputs
(exp.f64 (.f64 m (.f64 m -1/4)))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (*.f64 M M)))
(exp.f64 (.f64 m (.f64 m -1/4)))

Calls

5 calls:

26.0ms	K
25.0ms	l
19.0ms	n
12.0ms	M
11.0ms	m

Results

Error	Segments	Branch
22.6b	6	`K`
11.2b	3	`m`
19.9b	5	`n`
12.9b	3	`M`
17.0b	5	`l`

Compiler

Compiled 60 to 45 computations (25% saved)

bsearch204.0ms (1.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
110.0ms	1.1758322959806462e-26	1.1203822309967539e-20
94.0ms	-424.7482284755198	-193.15122975525776

Compiler

Compiled 42 to 30 computations (28.6% saved)

regimes119.0ms (1.1%)

Counts

3 → 4

Calls

Call 1

Inputs
(exp.f64 (neg.f64 l))
(exp.f64 (*.f64 M (neg.f64 M)))
(exp.f64 (.f64 m (.f64 m -1/4)))

Outputs
(exp.f64 (.f64 m (.f64 m -1/4)))
(exp.f64 (*.f64 M (neg.f64 M)))
(exp.f64 (neg.f64 l))
(exp.f64 (*.f64 M (neg.f64 M)))

Calls

5 calls:

61.0ms	K
17.0ms	l
15.0ms	m
12.0ms	n
12.0ms	M

Results

Error	Segments	Branch
22.6b	6	`K`
12.1b	4	`m`
22.8b	2	`n`
12.9b	3	`M`
17.0b	5	`l`

Compiler

Compiled 49 to 39 computations (20.4% saved)

bsearch179.0ms (1.6%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
44.0ms	-1.0292247521690727e-193	-9.089917725876682e-200
50.0ms	-4.409450604229991e-88	-4.4024830266527546e-91
85.0ms	-0.18669673730072953	-2.486820312016736e-12

Compiler

Compiled 42 to 30 computations (28.6% saved)

regimes42.0ms (0.4%)

Accuracy

Total -32.6b remaining (-156%)

Threshold costs -32.6b (-156%)

Counts

2 → 2

Calls

Call 1

Inputs
(exp.f64 (neg.f64 l))
(exp.f64 (*.f64 M (neg.f64 M)))

Outputs
(exp.f64 (*.f64 M (neg.f64 M)))
(exp.f64 (neg.f64 l))

Calls

5 calls:

11.0ms	M
10.0ms	m
9.0ms	n
7.0ms	l
3.0ms	K

Results

Error	Segments	Branch
29.4b	1	`K`
27.6b	3	`m`
28.4b	3	`n`
21.0b	3	`M`
20.9b	2	`l`

Compiler

Compiled 43 to 35 computations (18.6% saved)

bsearch89.0ms (0.8%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
89.0ms	1.7278069601340592e-10	0.2680857242218105

Compiler

Compiled 42 to 30 computations (28.6% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

17×	`+-commutative_binary64`
16×	`sub-neg_binary64`
12×	`*-commutative_binary64`
7×	`neg-sub0_binary64`
7×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	196
1	87	196
2	109	196
3	122	196
4	128	196
5	129	196

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)) l))
(if (<=.f64 M -2113773954895259/4611686018427387904) (exp.f64 (.f64 M (neg.f64 M))) (if (<=.f64 M 3738432809133405/9007199254740992) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 1/2 m) M) 2))) (exp.f64 (*.f64 M (neg.f64 M)))))
(if (<=.f64 m -3736124928688729/8796093022208) (exp.f64 (.f64 m (.f64 m -1/4))) (if (<=.f64 m 512147195876321/43556142965880123323311949751266331066368) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 M M))) (exp.f64 (.f64 m (*.f64 m -1/4)))))
(if (<=.f64 m -6726458852310823/36028797018963968) (exp.f64 (.f64 m (.f64 m -1/4))) (if (<=.f64 m -7900835045373491/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208) (exp.f64 (.f64 M (neg.f64 M))) (if (<=.f64 m -8459159483823073/82189623461693336050640466920002010399224059419112091554660639110448939910891887845526039629337319550421608888377784651765928628909121935361372105791435638280550369861381946846744746216942542457363957058371584) (exp.f64 (neg.f64 l)) (exp.f64 (.f64 M (neg.f64 M))))))
(if (<=.f64 l 6684129425330971/38685626227668133590597632) (exp.f64 (*.f64 M (neg.f64 M))) (exp.f64 (neg.f64 l)))
(exp.f64 (neg.f64 l))

Outputs
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)) l))
(if (<=.f64 M -2113773954895259/4611686018427387904) (exp.f64 (.f64 M (neg.f64 M))) (if (<=.f64 M 3738432809133405/9007199254740992) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 1/2 m) M) 2))) (exp.f64 (*.f64 M (neg.f64 M)))))
(if (<=.f64 M -2113773954895259/4611686018427387904) (exp.f64 (.f64 M (neg.f64 M))) (if (<=.f64 M 3738432809133405/9007199254740992) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 m 1/2) M) 2))) (exp.f64 (*.f64 M (neg.f64 M)))))
(if (<=.f64 m -3736124928688729/8796093022208) (exp.f64 (.f64 m (.f64 m -1/4))) (if (<=.f64 m 512147195876321/43556142965880123323311949751266331066368) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (.f64 M M))) (exp.f64 (.f64 m (*.f64 m -1/4)))))
(if (<=.f64 m -6726458852310823/36028797018963968) (exp.f64 (.f64 m (.f64 m -1/4))) (if (<=.f64 m -7900835045373491/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208) (exp.f64 (.f64 M (neg.f64 M))) (if (<=.f64 m -8459159483823073/82189623461693336050640466920002010399224059419112091554660639110448939910891887845526039629337319550421608888377784651765928628909121935361372105791435638280550369861381946846744746216942542457363957058371584) (exp.f64 (neg.f64 l)) (exp.f64 (.f64 M (neg.f64 M))))))
(if (<=.f64 l 6684129425330971/38685626227668133590597632) (exp.f64 (*.f64 M (neg.f64 M))) (exp.f64 (neg.f64 l)))
(exp.f64 (neg.f64 l))

Compiler

Compiled 157 to 108 computations (31.2% saved)

soundness204.0ms (1.9%)

Algorithm

2×	egg-herbie

Rules

841×	`distribute-rgt-in_binary64`
829×	`distribute-lft-in_binary64`
586×	`fma-def_binary64`
576×	`distribute-rgt-neg-out_binary64`
516×	`distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	114	1953
1	349	1945
2	1088	1870
3	3321	1845
0	209	3762
1	672	3525
2	2261	3165
3	7505	3165

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 1054 to 778 computations (26.2% saved)

end67.0ms (0.6%)

Remove: (sort m n)
Compiler: Compiled 176 to 100 computations (43.2% saved)