Details

analyze1.1s (5.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	99.8%	0.2%	0%	0%	0%	7
0%	0%	99.8%	0.2%	0%	0%	0%	8
12.5%	12.5%	87.3%	0.2%	0%	0%	0%	9
12.5%	12.5%	87.3%	0.2%	0%	0%	0%	10
18.8%	18.7%	81.1%	0.2%	0%	0%	0%	11
18.8%	18.7%	81.1%	0.2%	0%	0%	0%	12

Compiler

Compiled 35 to 24 computations (31.4% saved)

sample3.0s (15.1%)

Results

2.6s	8139×	body	256	valid
92.0ms	337×	body	256	infinite
88.0ms	56×	body	1024	valid
62.0ms	80×	body	1024	infinite
53.0ms	60×	body	512	valid
46.0ms	83×	body	512	infinite
21.0ms	19×	body	2048	infinite
2.0ms	1×	body	2048	valid

Bogosity

preprocess104.0ms (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)

simplify53.0ms (0.3%)

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

15.5b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.5b	(.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)

localize95.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)
✓	0.0b	(exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n)))))
✓	0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
✓	38.0b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

Compiler

Compiled 153 to 64 computations (58.2% saved)

series31.0ms (0.2%)

Counts

4 → 180

Calls

45 calls:

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

rewrite108.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

439×	`log1p-udef_binary64`
273×	`add-sqr-sqrt_binary64`
267×	`pow1_binary64`
266×	`*-un-lft-identity_binary64`
256×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	69
1	507	65
2	7911	65

Stop Event

1×	node limit

Counts

4 → 129

Calls

Call 1

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

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

simplify216.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

496×	`distribute-rgt-in_binary64`
487×	`distribute-lft-in_binary64`
449×	`fma-neg_binary64`
308×	`associate-+l+_binary64`
243×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	250	4558
1	784	4289
2	2519	3992
3	7567	3992

Stop Event

1×	node limit

Counts

309 → 249

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

eval226.0ms (1.1%)

Compiler: Compiled 9951 to 4970 computations (50.1% saved)

prune129.0ms (0.6%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	235	14	249
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	236	14	250

Error

1.7b

Counts

250 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	50.6b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (+.f64 (.f64 (+.f64 M (.f64 -1/2 n)) m) (+.f64 (.f64 m (.f64 m (fma.f64 1/2 (pow.f64 (+.f64 M (*.f64 -1/2 n)) 2) -1/4))) 1))))
	35.3b	(.f64 (cos.f64 (expm1.f64 (log1p.f64 (fma.f64 (.f64 K (+.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))))))
	33.8b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (.f64 n (.f64 n 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))))
	34.3b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (.f64 m (.f64 m 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	36.6b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	15.7b	(.f64 (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 K (+.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))))))
▶	11.0b	(.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	2.1b	(*.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))))))
	17.9b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (*.f64 (+.f64 n m) 1/2) M) 2))))
	46.9b	(.f64 (cos.f64 (/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 (.f64 K (+.f64 m n)) 2) 1/4) (.f64 M (fma.f64 (.f64 K (+.f64 m n)) 1/2 M))) (-.f64 (.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3) 1/8) (pow.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))))))
	15.4b	(.f64 (cos.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) 2) (cbrt.f64 (.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))))))
	15.8b	(.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)))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	15.5b	(.f64 (cos.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 K (+.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))))))
	15.5b	(.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (.f64 K (+.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))))))

Compiler

Compiled 1064 to 736 computations (30.8% saved)

localize81.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

New

Error

Program

✓

0.0b

(-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))

0.0b

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

0.0b

(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)

Compiler

Compiled 115 to 51 computations (55.7% saved)

series10.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite114.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

457×	`fma-neg_binary64`
303×	`expm1-udef_binary64`
303×	`log1p-udef_binary64`
233×	`log-pow_binary64`
227×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	365	22
2	5687	22

Stop Event

1×	node limit

Counts

1 → 84

Calls

Call 1

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

Outputs
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Outputs

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

simplify89.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

758×	`associate--r+_binary64`
711×	`associate--l+_binary64`
416×	`sub-neg_binary64`
377×	`distribute-rgt-in_binary64`
351×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	87	1205
1	286	1186
2	764	1122
3	3552	1108

Stop Event

1×	node limit

Counts

132 → 127

Calls

Call 1

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

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

localize72.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))
✓	0.0b	(*.f64 K (+.f64 m n))
	0.0b	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)
	38.0b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

Compiler

Compiled 111 to 29 computations (73.9% saved)

series14.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	m	@	0	(-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))
1.0ms	M	@	inf	(-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))
1.0ms	l	@	0	(-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))
1.0ms	M	@	0	(-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))
1.0ms	K	@	-inf	(*.f64 K (+.f64 m n))

rewrite125.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

771×	`log-prod_binary64`
428×	`fma-neg_binary64`
275×	`expm1-udef_binary64`
275×	`log1p-udef_binary64`
217×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	24
1	330	20
2	5265	20

Stop Event

1×	node limit

Counts

2 → 121

Calls

Call 1

Inputs
(*.f64 K (+.f64 m n))
(-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))

Outputs

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

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

simplify257.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

603×	`fma-def_binary64`
588×	`fma-neg_binary64`
532×	`unswap-sqr_binary64`
420×	`distribute-rgt-neg-in_binary64`
306×	`neg-sub0_binary64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	35	903
1	92	819
2	160	819
3	332	819
4	710	819
5	1512	819
6	2644	819
7	4854	819
8	5862	813
9	6777	813
10	7326	813
11	7893	813

Stop Event

1×	node limit

Counts

205 → 140

Calls

Call 1

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

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

localize115.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))
	0.0b	(exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n)))))
	0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
✓	32.4b	(cos.f64 (.f64 n (.f64 K 1/2)))

Compiler

Compiled 133 to 64 computations (51.9% saved)

series8.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	n	@	inf	(cos.f64 (.f64 n (.f64 K 1/2)))
1.0ms	n	@	0	(cos.f64 (.f64 n (.f64 K 1/2)))
1.0ms	K	@	0	(cos.f64 (.f64 n (.f64 K 1/2)))
1.0ms	K	@	inf	(cos.f64 (.f64 n (.f64 K 1/2)))
1.0ms	n	@	-inf	(cos.f64 (.f64 n (.f64 K 1/2)))

rewrite67.0ms (0.3%)

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	9
1	140	9
2	1622	9

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

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

Outputs

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

simplify258.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	32	320
1	79	316
2	212	312
3	871	308
4	2186	296
5	2693	290
6	3004	272
7	3229	272
8	3473	272
9	3793	272
10	4221	272
11	4741	272
12	5370	272
13	5632	272
14	5854	272
15	6024	272
16	6166	272
17	6282	272
18	7063	272
19	7931	272

Stop Event

1×	node limit

Counts

40 → 25

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)))

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

localize267.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	6.4b	(+.f64 (.f64 (+.f64 M (.f64 -1/2 n)) m) (+.f64 (.f64 m (.f64 m (fma.f64 1/2 (pow.f64 (+.f64 M (*.f64 -1/2 n)) 2) -1/4))) 1))
✓	7.0b	(.f64 m (fma.f64 1/2 (pow.f64 (+.f64 M (.f64 -1/2 n)) 2) -1/4))
✓	23.6b	(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (+.f64 (.f64 (+.f64 M (.f64 -1/2 n)) m) (+.f64 (.f64 m (.f64 m (fma.f64 1/2 (pow.f64 (+.f64 M (*.f64 -1/2 n)) 2) -1/4))) 1)))
	38.0b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

Compiler

Compiled 298 to 181 computations (39.3% saved)

series58.0ms (0.3%)

Counts

3 → 120

Calls

30 calls:

Time	Variable		Point	Expression
7.0ms	n	@	0	(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (+.f64 (.f64 (+.f64 M (.f64 -1/2 n)) m) (+.f64 (.f64 m (.f64 m (fma.f64 1/2 (pow.f64 (+.f64 M (*.f64 -1/2 n)) 2) -1/4))) 1)))
5.0ms	M	@	0	(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (+.f64 (.f64 (+.f64 M (.f64 -1/2 n)) m) (+.f64 (.f64 m (.f64 m (fma.f64 1/2 (pow.f64 (+.f64 M (*.f64 -1/2 n)) 2) -1/4))) 1)))
4.0ms	M	@	0	(.f64 m (fma.f64 1/2 (pow.f64 (+.f64 M (.f64 -1/2 n)) 2) -1/4))
3.0ms	l	@	inf	(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (+.f64 (.f64 (+.f64 M (.f64 -1/2 n)) m) (+.f64 (.f64 m (.f64 m (fma.f64 1/2 (pow.f64 (+.f64 M (*.f64 -1/2 n)) 2) -1/4))) 1)))
3.0ms	n	@	-inf	(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (+.f64 (.f64 (+.f64 M (.f64 -1/2 n)) m) (+.f64 (.f64 m (.f64 m (fma.f64 1/2 (pow.f64 (+.f64 M (*.f64 -1/2 n)) 2) -1/4))) 1)))

rewrite144.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

333×	`add-sqr-sqrt_binary64`
325×	`pow1_binary64`
323×	`*-un-lft-identity_binary64`
312×	`add-log-exp_binary64`
311×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	104
1	645	92

Stop Event

1×	node limit

Counts

3 → 79

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 m (fma.f64 n -1/2 M)) (exp.f64 (-.f64 (-.f64 n m) (+.f64 (pow.f64 (-.f64 (*.f64 n 1/2) M) 2) l)))) (*.f64 (fma.f64 (*.f64 m m) (fma.f64 1/2 (pow.f64 (fma.f64 n -1/2 M) 2) -1/4) 1) (exp.f64 (-.f64 (-.f64 n m) (+.f64 (pow.f64 (-.f64 (*.f64 n 1/2) M) 2) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 (-.f64 (-.f64 n m) (+.f64 (pow.f64 (-.f64 (*.f64 n 1/2) M) 2) l))) (*.f64 m (fma.f64 n -1/2 M))) (*.f64 (exp.f64 (-.f64 (-.f64 n m) (+.f64 (pow.f64 (-.f64 (*.f64 n 1/2) M) 2) l))) (fma.f64 (*.f64 m m) (fma.f64 1/2 (pow.f64 (fma.f64 n -1/2 M) 2) -1/4) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 (-.f64 (-.f64 n m) (+.f64 (pow.f64 (-.f64 (*.f64 n 1/2) M) 2) l))) (fma.f64 m (fma.f64 n -1/2 M) (fma.f64 (*.f64 m m) (fma.f64 1/2 (pow.f64 (fma.f64 n -1/2 M) 2) -1/4) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 (-.f64 n m)) (+.f64 (pow.f64 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M) 2) -1/4) 1) 3)) (exp.f64 (-.f64 n m))) (*.f64 (+.f64 (pow.f64 (*.f64 m (fma.f64 n -1/2 M)) 2) (-.f64 (pow.f64 (fma.f64 (*.f64 m m) (fma.f64 1/2 (pow.f64 (fma.f64 n -1/2 M) 2) -1/4) 1) 2) (*.f64 (*.f64 m (fma.f64 n -1/2 M)) (fma.f64 (*.f64 m m) (fma.f64 1/2 (pow.f64 (fma.f64 n -1/2 M) 2) -1/4) 1)))) (exp.f64 (+.f64 (pow.f64 (-.f64 (*.f64 n 1/2) M) 2) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 m (fma.f64 n -1/2 M)) 2) (pow.f64 (fma.f64 (*.f64 m m) (fma.f64 1/2 (pow.f64 (fma.f64 n -1/2 M) 2) -1/4) 1) 2)) (exp.f64 (-.f64 n m))) (*.f64 (-.f64 (*.f64 m (fma.f64 n -1/2 M)) (fma.f64 (*.f64 m m) (fma.f64 1/2 (pow.f64 (fma.f64 n -1/2 M) 2) -1/4) 1)) (exp.f64 (+.f64 (pow.f64 (-.f64 (*.f64 n 1/2) M) 2) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (*.f64 m (fma.f64 n -1/2 M)) (exp.f64 (-.f64 (-.f64 n m) (+.f64 (pow.f64 (-.f64 (*.f64 n 1/2) M) 2) l)))) 3) (pow.f64 (*.f64 (fma.f64 (*.f64 m m) (fma.f64 1/2 (pow.f64 (fma.f64 n -1/2 M) 2) -1/4) 1) (exp.f64 (-.f64 (-.f64 n m) (+.f64 (pow.f64 (-.f64 (*.f64 n 1/2) M) 2) l)))) 3)) (+.f64 (*.f64 (*.f64 (*.f64 m (fma.f64 n -1/2 M)) (exp.f64 (-.f64 (-.f64 n m) (+.f64 (pow.f64 (-.f64 (*.f64 n 1/2) M) 2) l)))) (*.f64 (*.f64 m (fma.f64 n -1/2 M)) (exp.f64 (-.f64 (-.f64 n m) (+.f64 (pow.f64 (-.f64 (*.f64 n 1/2) M) 2) l))))) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 m m) (fma.f64 1/2 (pow.f64 (fma.f64 n -1/2 M) 2) -1/4) 1) (exp.f64 (-.f64 (-.f64 n m) (+.f64 (pow.f64 (-.f64 (*.f64 n 1/2) M) 2) l)))) (*.f64 (fma.f64 (*.f64 m m) (fma.f64 1/2 (pow.f64 (fma.f64 n -1/2 M) 2) -1/4) 1) (exp.f64 (-.f64 (-.f64 n m) (+.f64 (pow.f64 (-.f64 (*.f64 n 1/2) M) 2) l))))) (*.f64 (*.f64 (*.f64 m (fma.f64 n -1/2 M)) (exp.f64 (-.f64 (-.f64 n m) (+.f64 (pow.f64 (-.f64 (*.f64 n 1/2) M) 2) l)))) (*.f64 (fma.f64 (*.f64 m m) (fma.f64 1/2 (pow.f64 (fma.f64 n -1/2 M) 2) -1/4) 1) (exp.f64 (-.f64 (-.f64 n m) (+.f64 (pow.f64 (-.f64 (*.f64 n 1/2) M) 2) l))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 (-.f64 n m) (+.f64 (pow.f64 (-.f64 (*.f64 n 1/2) M) 2) l))) (*.f64 m (fma.f64 n -1/2 M))) 3) (pow.f64 (*.f64 (exp.f64 (-.f64 (-.f64 n m) (+.f64 (pow.f64 (-.f64 (*.f64 n 1/2) M) 2) l))) (fma.f64 (*.f64 m m) (fma.f64 1/2 (pow.f64 (fma.f64 n -1/2 M) 2) -1/4) 1)) 3)) (+.f64 (*.f64 (*.f64 (exp.f64 (-.f64 (-.f64 n m) (+.f64 (pow.f64 (-.f64 (*.f64 n 1/2) M) 2) l))) (*.f64 m (fma.f64 n -1/2 M))) (*.f64 (exp.f64 (-.f64 (-.f64 n m) (+.f64 (pow.f64 (-.f64 (*.f64 n 1/2) M) 2) l))) (*.f64 m (fma.f64 n -1/2 M)))) (-.f64 (*.f64 (*.f64 (exp.f64 (-.f64 (-.f64 n m) (+.f64 (pow.f64 (-.f64 (*.f64 n 1/2) M) 2) l))) (fma.f64 (*.f64 m m) (fma.f64 1/2 (pow.f64 (fma.f64 n -1/2 M) 2) -1/4) 1)) (*.f64 (exp.f64 (-.f64 (-.f64 n m) (+.f64 (pow.f64 (-.f64 (*.f64 n 1/2) M) 2) l))) (fma.f64 (*.f64 m m) (fma.f64 1/2 (pow.f64 (fma.f64 n -1/2 M) 2) -1/4) 1))) (*.f64 (*.f64 (exp.f64 (-.f64 (-.f64 n m) (+.f64 (pow.f64 (-.f64 (*.f64 n 1/2) M) 2) l))) (*.f64 m (fma.f64 n -1/2 M))) 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simplify236.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

514×	`associate-*r/_binary64`
506×	`associate-*l/_binary64`
449×	`+-commutative_binary64`
368×	`fma-def_binary64`
238×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	267	7242
1	931	6066
2	3488	5403

Stop Event

1×	node limit

Counts

199 → 196

Calls

Call 1

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

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

localize121.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
✓	0.1b	(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) 2))
✓	0.5b	(pow.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) 2)
✓	38.0b	(cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M)))

Compiler

Compiled 177 to 75 computations (57.6% saved)

series42.0ms (0.2%)

Counts

3 → 144

Calls

36 calls:

Time	Variable		Expression
10.0ms	m	@	(cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M)))
2.0ms	m	@	(pow.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) 2)
2.0ms	n	@	(pow.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) 2)
2.0ms	K	@	(pow.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) 2)
2.0ms	M	@	(pow.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) 2)

rewrite117.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

841×	`prod-diff_binary64`
580×	`log-prod_binary64`
274×	`fma-def_binary64`
230×	`pow1/3_binary64`
228×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	48
1	300	42
2	3618	42

Stop Event

1×	node limit

Counts

3 → 93

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify180.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

583×	`unsub-neg_binary64`
426×	`fma-neg_binary64`
345×	`neg-sub0_binary64`
338×	`associate-+l+_binary64`
333×	`neg-mul-1_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	196	4013
1	643	3970
2	2332	3787
3	6312	3783

Stop Event

1×	node limit

Counts

237 → 133

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

eval1.3s (6.5%)

Compiler: Compiled 51434 to 26892 computations (47.7% saved)

prune532.0ms (2.7%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	1242	22	1264
Fresh	9	0	9
Picked	1	0	1
Done	4	0	4
Total	1256	22	1278

Error

1.7b

Counts

1278 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	52.3b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))
	36.6b	(.f64 (cos.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) 2) (cbrt.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (neg.f64 M))) (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	36.6b	(.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M)))) 3) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	9.4b	(.f64 (sqrt.f64 (pow.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K 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))))))
▶	48.5b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l)))
	56.6b	(.f64 (cos.f64 (/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 (.f64 K (+.f64 m n)) 2) 1/4) (.f64 M (fma.f64 (.f64 K (+.f64 m n)) 1/2 M))) (-.f64 (.f64 (pow.f64 (.f64 K (+.f64 m n)) 3) 1/8) (pow.f64 M 3))))) (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	46.2b	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (.f64 (-.f64 (.f64 m m) (.f64 n n)) K) (-.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	26.8b	(.f64 (cos.f64 M) (exp.f64 (.f64 n (*.f64 n -1/4))))
	32.3b	(.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	36.9b	(.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)))) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	45.6b	(.f64 (cos.f64 (-.f64 (/.f64 (expm1.f64 (log1p.f64 (.f64 K (+.f64 m n)))) 2) M)) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	46.9b	(.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (exp.f64 (neg.f64 l)))
	53.6b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (log1p.f64 (expm1.f64 (fma.f64 m (fma.f64 n -1/2 M) (fma.f64 (*.f64 m m) (fma.f64 1/2 (pow.f64 (fma.f64 n -1/2 M) 2) -1/4) 1))))))
	29.9b	(.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M))))
	54.2b	(.f64 (exp.f64 (log.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (+.f64 (.f64 (+.f64 M (.f64 -1/2 n)) m) (+.f64 (.f64 m (.f64 m (fma.f64 1/2 (pow.f64 (+.f64 M (*.f64 -1/2 n)) 2) -1/4))) 1))))
▶	36.9b	(.f64 (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) 2)) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	49.2b	(.f64 (cos.f64 (expm1.f64 (log1p.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M))))) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	25.7b	(.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 m (*.f64 m 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))))
	52.8b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (.f64 (+.f64 1 (.f64 m (+.f64 M (.f64 m (fma.f64 M (.f64 M 1/2) -1/4))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M M l)))))
▶	43.9b	(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
	36.6b	(.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 K (+.f64 m n))) 3) 2) M)) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	27.5b	(.f64 (cos.f64 M) (exp.f64 (.f64 m (*.f64 m -1/4))))

Compiler

Compiled 1328 to 928 computations (30.1% saved)

localize117.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
✓	0.1b	(sqrt.f64 (pow.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 2))
✓	0.4b	(pow.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 2)
✓	27.1b	(cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))

Compiler

Compiled 168 to 81 computations (51.8% saved)

series16.0ms (0.1%)

Counts

3 → 68

Calls

27 calls:

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

rewrite83.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

821×	`prod-diff_binary64`
561×	`log-prod_binary64`
311×	`pow2_binary64`
306×	`fma-def_binary64`
216×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	262	39
2	3059	39

Stop Event

1×	node limit

Counts

3 → 135

Calls

Call 1

Inputs
(cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))
(pow.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 2)
(sqrt.f64 (pow.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 2))

Outputs

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

simplify78.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

599×	`distribute-lft-neg-out_binary64`
536×	`distribute-rgt-neg-out_binary64`
434×	`*-commutative_binary64`
428×	`unswap-sqr_binary64`
423×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	112	1687
1	358	1655
2	1348	1568
3	3450	1568

Stop Event

1×	node limit

Counts

203 → 121

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

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))

Compiler

Compiled 20 to 9 computations (55% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	l	@	inf	(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
1.0ms	M	@	0	(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
1.0ms	M	@	inf	(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
1.0ms	l	@	0	(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
1.0ms	M	@	-inf	(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))

rewrite48.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

562×	`pow1_binary64`
514×	`add-log-exp_binary64`
513×	`log1p-expm1-u_binary64`
513×	`expm1-log1p-u_binary64`
502×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	137	8
2	1669	8

Stop Event

1×	node limit

Counts

1 → 12

Calls

Call 1

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

Outputs

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

simplify93.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

957×	`fma-def_binary64`
712×	`unswap-sqr_binary64`
360×	`cancel-sign-sub-inv_binary64`
310×	`distribute-lft-out_binary64`
269×	`fma-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	46	345
1	123	326
2	336	279
3	1165	259
4	3561	252

Stop Event

1×	node limit

Counts

36 → 28

Calls

Call 1

Inputs
(exp.f64 (neg.f64 l))
(+.f64 (exp.f64 (neg.f64 l)) (.f64 -1/2 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 2))))
(+.f64 (exp.f64 (neg.f64 l)) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 2))) (.f64 1/24 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 4)))))
(+.f64 (.f64 -1/720 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 6))) (+.f64 (exp.f64 (neg.f64 l)) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 2))) (.f64 1/24 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 4))))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(cos.f64 M)
(+.f64 (.f64 -1 (.f64 l (cos.f64 M))) (cos.f64 M))
(+.f64 (.f64 1/2 (.f64 (pow.f64 l 2) (cos.f64 M))) (+.f64 (.f64 -1 (.f64 l (cos.f64 M))) (cos.f64 M)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 l 2) (cos.f64 M))) (+.f64 (.f64 -1 (.f64 l (cos.f64 M))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 l 3) (cos.f64 M))) (cos.f64 M))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(.f64 (cos.f64 M) (exp.f64 (.f64 -1 l)))
(.f64 (cos.f64 M) (exp.f64 (.f64 -1 l)))
(.f64 (cos.f64 M) (exp.f64 (.f64 -1 l)))
(.f64 (cos.f64 M) (exp.f64 (.f64 -1 l)))

Outputs
(exp.f64 (neg.f64 l))
(+.f64 (exp.f64 (neg.f64 l)) (.f64 -1/2 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 2))))
(+.f64 (exp.f64 (neg.f64 l)) (.f64 -1/2 (.f64 (exp.f64 (neg.f64 l)) (*.f64 M M))))
(fma.f64 (/.f64 -1/2 (exp.f64 l)) (*.f64 M M) (exp.f64 (neg.f64 l)))
(.f64 (+.f64 (.f64 (*.f64 -1/2 M) M) 1) (exp.f64 (neg.f64 l)))
(.f64 (exp.f64 (neg.f64 l)) (fma.f64 -1/2 (.f64 M M) 1))
(/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l))
(+.f64 (exp.f64 (neg.f64 l)) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 2))) (.f64 1/24 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 4)))))
(+.f64 (exp.f64 (neg.f64 l)) (fma.f64 -1/2 (.f64 (exp.f64 (neg.f64 l)) (.f64 M M)) (.f64 1/24 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 4)))))
(+.f64 (fma.f64 (/.f64 -1/2 (exp.f64 l)) (.f64 M M) (exp.f64 (neg.f64 l))) (.f64 (pow.f64 M 4) (/.f64 1/24 (exp.f64 l))))
(fma.f64 -1/2 (/.f64 (.f64 M M) (exp.f64 l)) (.f64 (+.f64 (*.f64 1/24 (pow.f64 M 4)) 1) (exp.f64 (neg.f64 l))))
(.f64 (exp.f64 (neg.f64 l)) (+.f64 (fma.f64 1/24 (pow.f64 M 4) 1) (.f64 -1/2 (*.f64 M M))))
(.f64 (exp.f64 (neg.f64 l)) (+.f64 1 (fma.f64 1/24 (pow.f64 M 4) (.f64 -1/2 (*.f64 M M)))))
(+.f64 (.f64 -1/720 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 6))) (+.f64 (exp.f64 (neg.f64 l)) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 2))) (.f64 1/24 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 4))))))
(fma.f64 -1/720 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 6)) (+.f64 (exp.f64 (neg.f64 l)) (fma.f64 -1/2 (.f64 (exp.f64 (neg.f64 l)) (.f64 M M)) (.f64 1/24 (*.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 4))))))
(fma.f64 (/.f64 -1/720 (exp.f64 l)) (pow.f64 M 6) (+.f64 (fma.f64 (/.f64 -1/2 (exp.f64 l)) (.f64 M M) (exp.f64 (neg.f64 l))) (.f64 (pow.f64 M 4) (/.f64 1/24 (exp.f64 l)))))
(fma.f64 -1/720 (/.f64 (pow.f64 M 6) (exp.f64 l)) (fma.f64 -1/2 (/.f64 (.f64 M M) (exp.f64 l)) (.f64 (+.f64 (*.f64 1/24 (pow.f64 M 4)) 1) (exp.f64 (neg.f64 l)))))
(fma.f64 (exp.f64 (neg.f64 l)) (fma.f64 -1/2 (.f64 M M) (.f64 1/24 (pow.f64 M 4))) (*.f64 (exp.f64 (neg.f64 l)) (fma.f64 -1/720 (pow.f64 M 6) 1)))
(.f64 (exp.f64 (neg.f64 l)) (+.f64 (fma.f64 -1/2 (.f64 M M) 1) (fma.f64 1/24 (pow.f64 M 4) (*.f64 -1/720 (pow.f64 M 6)))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 l))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 l))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 l))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 l))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 l))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 l))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 l))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 l))
(cos.f64 M)
(+.f64 (.f64 -1 (.f64 l (cos.f64 M))) (cos.f64 M))
(fma.f64 -1 (*.f64 l (cos.f64 M)) (cos.f64 M))
(-.f64 (cos.f64 M) (*.f64 l (cos.f64 M)))
(*.f64 (cos.f64 M) (fma.f64 l -1 1))
(*.f64 (cos.f64 M) (-.f64 1 l))
(+.f64 (.f64 1/2 (.f64 (pow.f64 l 2) (cos.f64 M))) (+.f64 (.f64 -1 (.f64 l (cos.f64 M))) (cos.f64 M)))
(fma.f64 1/2 (.f64 (cos.f64 M) (.f64 l l)) (fma.f64 -1 (*.f64 l (cos.f64 M)) (cos.f64 M)))
(+.f64 (cos.f64 M) (.f64 (cos.f64 M) (+.f64 (.f64 1/2 (*.f64 l l)) (neg.f64 l))))
(fma.f64 (cos.f64 M) (-.f64 (.f64 l (.f64 l 1/2)) l) (cos.f64 M))
(.f64 (cos.f64 M) (fma.f64 1/2 (.f64 l l) (-.f64 1 l)))
(.f64 (cos.f64 M) (+.f64 1 (.f64 l (fma.f64 l 1/2 -1))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 l 2) (cos.f64 M))) (+.f64 (.f64 -1 (.f64 l (cos.f64 M))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 l 3) (cos.f64 M))) (cos.f64 M))))
(fma.f64 1/2 (.f64 (cos.f64 M) (.f64 l l)) (fma.f64 -1 (.f64 l (cos.f64 M)) (fma.f64 -1/6 (.f64 (cos.f64 M) (pow.f64 l 3)) (cos.f64 M))))
(+.f64 (fma.f64 -1/6 (.f64 (cos.f64 M) (pow.f64 l 3)) (cos.f64 M)) (.f64 (cos.f64 M) (+.f64 (.f64 1/2 (.f64 l l)) (neg.f64 l))))
(fma.f64 (cos.f64 M) (.f64 l (.f64 l 1/2)) (*.f64 (cos.f64 M) (-.f64 (fma.f64 -1/6 (pow.f64 l 3) 1) l)))
(.f64 (cos.f64 M) (+.f64 (.f64 l (fma.f64 l 1/2 -1)) (fma.f64 -1/6 (pow.f64 l 3) 1)))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 l))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 l))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 l))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 l))
(.f64 (cos.f64 M) (exp.f64 (.f64 -1 l)))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 l))
(.f64 (cos.f64 M) (exp.f64 (.f64 -1 l)))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 l))
(.f64 (cos.f64 M) (exp.f64 (.f64 -1 l)))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 l))
(.f64 (cos.f64 M) (exp.f64 (.f64 -1 l)))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 l))

localize97.0ms (0.5%)

Local error

Found 4 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)
✓	0.0b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l)))
	38.0b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

Compiler

Compiled 64 to 24 computations (62.5% saved)

series11.0ms (0.1%)

Counts

1 → 60

Calls

15 calls:

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

rewrite74.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

811×	`log-prod_binary64`
482×	`fma-def_binary64`
301×	`expm1-udef_binary64`
301×	`log1p-udef_binary64`
249×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	22
1	340	20
2	4870	20

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify93.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

827×	`fma-def_binary64`
815×	`distribute-rgt-neg-out_binary64`
528×	`*-commutative_binary64`
503×	`unswap-sqr_binary64`
212×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	151	2026
1	460	1982
2	1581	1733
3	5151	1731

Stop Event

1×	node limit

Counts

83 → 69

Calls

Call 1

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

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

localize80.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m))
✓	2.5b	(.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)))) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
✓	26.4b	(sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
✓	27.1b	(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))

Compiler

Compiled 174 to 66 computations (62.1% saved)

series56.0ms (0.3%)

Counts

4 → 112

Calls

45 calls:

Time	Variable		Point	Expression
13.0ms	l	@	-inf	(.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)))) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
5.0ms	m	@	inf	(.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)))) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
2.0ms	n	@	0	(.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)))) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
2.0ms	l	@	inf	(.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)))) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
2.0ms	m	@	0	(.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)))) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))

rewrite88.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

307×	`add-sqr-sqrt_binary64`
299×	`*-un-lft-identity_binary64`
299×	`pow1_binary64`
285×	`add-log-exp_binary64`
284×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	98
1	573	92

Stop Event

1×	node limit

Counts

4 → 92

Calls

Call 1

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

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

simplify222.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

455×	`associate-r_binary64`
375×	`fma-def_binary64`
326×	`associate-l_binary64`
307×	`associate-*l/_binary64`
282×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	309	5690
1	988	5315
2	3508	4891

Stop Event

1×	node limit

Counts

204 → 200

Calls

Call 1

Inputs
(cos.f64 (neg.f64 M))
(+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 n (*.f64 K (sin.f64 (neg.f64 M))))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M))))) (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (cos.f64 (neg.f64 M)) (pow.f64 K 2))))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (cos.f64 (neg.f64 M)) (pow.f64 K 2)))) (.f64 1/48 (.f64 (pow.f64 n 3) (*.f64 (pow.f64 K 3) (sin.f64 (neg.f64 M))))))))
(cos.f64 (neg.f64 M))
(+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 n (*.f64 K (sin.f64 (neg.f64 M))))))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 n 2) (pow.f64 K 2)))) (+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M)))))))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 n 2) (pow.f64 K 2)))) (+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M))))) (.f64 1/48 (.f64 (pow.f64 n 3) (*.f64 (pow.f64 K 3) (sin.f64 (neg.f64 M))))))))
(cos.f64 (.f64 1/2 (.f64 n K)))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) M) (cos.f64 (.f64 1/2 (*.f64 n K))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (pow.f64 M 2))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) M) (cos.f64 (.f64 1/2 (*.f64 n K)))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (pow.f64 M 2))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) M) (+.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 -1/6 (.f64 (sin.f64 (.f64 1/2 (*.f64 n K))) (pow.f64 M 3))))))
(cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M)))
(cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M)))
(cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M)))
(cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M)))
(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)))
(+.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))))
(+.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)))))
(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))) (+.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 (.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))))))
(sin.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M)))
(sin.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M)))
(sin.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M)))
(sin.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M)))
(.f64 (+.f64 (.f64 -1/2 (.f64 K (.f64 (sin.f64 (neg.f64 M)) m))) (cos.f64 (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))))
(+.f64 (.f64 n (.f64 (-.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))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))))) (.f64 (+.f64 (.f64 -1/2 (.f64 K (*.f64 (sin.f64 (neg.f64 M)) m))) (cos.f64 (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2))))))
(+.f64 (.f64 (pow.f64 n 2) (.f64 (+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (pow.f64 K 2))) (.f64 1/16 (.f64 (pow.f64 K 3) (.f64 (sin.f64 (neg.f64 M)) m)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))))) (+.f64 (.f64 n (.f64 (-.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))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))))) (.f64 (+.f64 (.f64 -1/2 (.f64 K (.f64 (sin.f64 (neg.f64 M)) m))) (cos.f64 (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))))))
(+.f64 (.f64 (pow.f64 n 2) (.f64 (+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (pow.f64 K 2))) (.f64 1/16 (.f64 (pow.f64 K 3) (.f64 (sin.f64 (neg.f64 M)) m)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))))) (+.f64 (.f64 n (.f64 (-.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))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))))) (+.f64 (.f64 (pow.f64 n 3) (.f64 (-.f64 (.f64 1/96 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 4) m))) (.f64 -1/48 (.f64 (pow.f64 K 3) (sin.f64 (neg.f64 M))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))))) (.f64 (+.f64 (.f64 -1/2 (.f64 K (*.f64 (sin.f64 (neg.f64 M)) m))) (cos.f64 (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.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 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.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 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.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 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.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 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.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 (fabs.f64 (+.f64 (*.f64 -1 n) m)) (+.f64 l (pow.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 (fabs.f64 (+.f64 (*.f64 -1 n) m)) (+.f64 l (pow.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 (fabs.f64 (+.f64 (*.f64 -1 n) m)) (+.f64 l (pow.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 (fabs.f64 (+.f64 (*.f64 -1 n) m)) (+.f64 l (pow.f64 M 2)))))
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))))
(+.f64 (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2))))) (.f64 (-.f64 (.f64 -1/2 (.f64 (sin.f64 (neg.f64 M)) m)) (.f64 1/2 (.f64 n (sin.f64 (neg.f64 M))))) (*.f64 K (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))))))
(+.f64 (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2))))) (+.f64 (.f64 (pow.f64 K 2) (.f64 (+.f64 (.f64 -1/4 (.f64 n (.f64 (cos.f64 (neg.f64 M)) m))) (.f64 -1/8 (.f64 (pow.f64 n 2) (cos.f64 (neg.f64 M))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))))) (.f64 (-.f64 (.f64 -1/2 (.f64 (sin.f64 (neg.f64 M)) m)) (.f64 1/2 (.f64 n (sin.f64 (neg.f64 M))))) (.f64 K (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2))))))))
(+.f64 (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2))))) (+.f64 (.f64 (-.f64 (.f64 1/16 (.f64 (pow.f64 n 2) (.f64 (sin.f64 (neg.f64 M)) m))) (.f64 -1/48 (.f64 (pow.f64 n 3) (sin.f64 (neg.f64 M))))) (.f64 (pow.f64 K 3) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))))) (+.f64 (.f64 (pow.f64 K 2) (.f64 (+.f64 (.f64 -1/4 (.f64 n (.f64 (cos.f64 (neg.f64 M)) m))) (.f64 -1/8 (.f64 (pow.f64 n 2) (cos.f64 (neg.f64 M))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))))) (.f64 (-.f64 (.f64 -1/2 (.f64 (sin.f64 (neg.f64 M)) m)) (.f64 1/2 (.f64 n (sin.f64 (neg.f64 M))))) (*.f64 K (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))))))))
(.f64 -1/2 (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 m (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2))))))))
(+.f64 (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2))))) (.f64 -1/2 (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (*.f64 m (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))))))))
(+.f64 (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2))))) (.f64 -1/2 (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (*.f64 m (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))))))))
(+.f64 (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2))))) (.f64 -1/2 (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (*.f64 m (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))))))))
(.f64 -1/2 (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 m (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2))))))))
(+.f64 (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2))))) (.f64 -1/2 (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (*.f64 m (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))))))))
(+.f64 (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2))))) (.f64 -1/2 (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (*.f64 m (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))))))))
(+.f64 (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2))))) (.f64 -1/2 (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (*.f64 m (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))))))))
(.f64 (+.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (.f64 K m)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)))
(+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (.f64 M (-.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 K m))) (.f64 -1 (sin.f64 (.f64 1/2 (.f64 n K))))))) (.f64 (+.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (.f64 K m)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l))))
(+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (.f64 M (-.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 K m))) (.f64 -1 (sin.f64 (.f64 1/2 (.f64 n K))))))) (+.f64 (.f64 (+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (+.f64 (.f64 1/4 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (.f64 K m))) (.f64 -1/2 (cos.f64 (.f64 1/2 (.f64 n K)))))) (.f64 -1 (.f64 (+.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (.f64 K m)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l))))) (pow.f64 M 2)) (.f64 (+.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (*.f64 K m)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)))))
(+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (.f64 M (-.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 K m))) (.f64 -1 (sin.f64 (.f64 1/2 (.f64 n K))))))) (+.f64 (.f64 (+.f64 (.f64 -1 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (-.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 K m))) (.f64 -1 (sin.f64 (.f64 1/2 (.f64 n K))))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (-.f64 (.f64 -1/12 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 K m))) (.f64 1/6 (sin.f64 (.f64 1/2 (.f64 n K))))))) (pow.f64 M 3)) (+.f64 (.f64 (+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (+.f64 (.f64 1/4 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (.f64 K m))) (.f64 -1/2 (cos.f64 (.f64 1/2 (.f64 n K)))))) (.f64 -1 (.f64 (+.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (.f64 K m)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l))))) (pow.f64 M 2)) (.f64 (+.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (*.f64 K m)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l))))))
(.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)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))))
(.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)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))))
(.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)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))))
(.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)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))))
(.f64 (+.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (.f64 -1 M))) (.f64 -1/2 (.f64 K (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 n K)) (.f64 -1 M))) m)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))))
(.f64 (+.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (.f64 -1 M))) (.f64 -1/2 (.f64 K (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 n K)) (.f64 -1 M))) m)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))))
(.f64 (+.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (.f64 -1 M))) (.f64 -1/2 (.f64 K (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 n K)) (.f64 -1 M))) m)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))))
(.f64 (+.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (.f64 -1 M))) (.f64 -1/2 (.f64 K (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 n K)) (.f64 -1 M))) m)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))))
(+.f64 (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2))))) (.f64 -1/2 (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (*.f64 m (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))))))))
(+.f64 (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2))))) (.f64 -1/2 (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (*.f64 m (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))))))))
(+.f64 (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2))))) (.f64 -1/2 (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (*.f64 m (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))))))))
(.f64 -1/2 (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 m (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2))))))))
(+.f64 (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2))))) (.f64 -1/2 (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (*.f64 m (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))))))))
(+.f64 (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2))))) (.f64 -1/2 (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (*.f64 m (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))))))))
(+.f64 (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2))))) (.f64 -1/2 (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (*.f64 m (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))))))))
(.f64 -1/2 (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 (exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 n (*.f64 -1 m)))) (+.f64 l (pow.f64 M 2)))) m))))
(+.f64 (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m)))) (+.f64 l (pow.f64 M 2))))) (.f64 -1/2 (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 (exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 n (*.f64 -1 m)))) (+.f64 l (pow.f64 M 2)))) m)))))
(+.f64 (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m)))) (+.f64 l (pow.f64 M 2))))) (.f64 -1/2 (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 (exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 n (*.f64 -1 m)))) (+.f64 l (pow.f64 M 2)))) m)))))
(+.f64 (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m)))) (+.f64 l (pow.f64 M 2))))) (.f64 -1/2 (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 (exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 n (*.f64 -1 m)))) (+.f64 l (pow.f64 M 2)))) m)))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 M 2))) (+.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))))
(+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 M 2))) (+.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)))) (.f64 -1 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.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))) l))))
(+.f64 (.f64 1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.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))) (pow.f64 l 2)))) (+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 M 2))) (+.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)))) (.f64 -1 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.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))) l)))))
(+.f64 (.f64 1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.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))) (pow.f64 l 2)))) (+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 M 2))) (+.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)))) (+.f64 (.f64 -1 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.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))) l))) (.f64 -1/6 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.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))) (pow.f64 l 3)))))))
(.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 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 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 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 M 2)))))
(.f64 (exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 M 2))) (+.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))))
(.f64 (exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 M 2))) (+.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))))
(.f64 (exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 M 2))) (+.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))))
(.f64 (exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 M 2))) (+.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))))
(.f64 K (.f64 (sin.f64 (neg.f64 M)) m))
(+.f64 (.f64 1/2 (.f64 n (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) m)))) (.f64 K (.f64 (sin.f64 (neg.f64 M)) m)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (pow.f64 K 3) (.f64 (sin.f64 (neg.f64 M)) m)))) (+.f64 (.f64 1/2 (.f64 n (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) m)))) (.f64 K (.f64 (sin.f64 (neg.f64 M)) m))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (pow.f64 K 3) (.f64 (sin.f64 (neg.f64 M)) m)))) (+.f64 (.f64 1/2 (.f64 n (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) m)))) (+.f64 (.f64 K (.f64 (sin.f64 (neg.f64 M)) m)) (.f64 -1/48 (.f64 (pow.f64 n 3) (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 4) m)))))))
(.f64 K (.f64 (sin.f64 (neg.f64 M)) m))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (neg.f64 M)) (.f64 n (.f64 (pow.f64 K 2) m)))) (.f64 K (.f64 (sin.f64 (neg.f64 M)) m)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (neg.f64 M)) (.f64 n (.f64 (pow.f64 K 2) m)))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (pow.f64 K 3) (.f64 (sin.f64 (neg.f64 M)) m)))) (.f64 K (.f64 (sin.f64 (neg.f64 M)) m))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (neg.f64 M)) (.f64 n (.f64 (pow.f64 K 2) m)))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (pow.f64 K 3) (.f64 (sin.f64 (neg.f64 M)) m)))) (+.f64 (.f64 K (.f64 (sin.f64 (neg.f64 M)) m)) (.f64 -1/48 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 n 3) (.f64 (pow.f64 K 4) m)))))))
(.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (.f64 K m))
(+.f64 (.f64 -1 (.f64 K (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 m M)))) (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (.f64 K m)))
(+.f64 (.f64 -1 (.f64 K (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 m M)))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (.f64 K (.f64 m (pow.f64 M 2))))) (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (.f64 K m))))
(+.f64 (.f64 -1 (.f64 K (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 m M)))) (+.f64 (.f64 1/6 (.f64 K (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 m (pow.f64 M 3))))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (.f64 K (.f64 m (pow.f64 M 2))))) (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (.f64 K m)))))
(.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) m))
(.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) m))
(.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) m))
(.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) m))
(.f64 K (.f64 m (sin.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M)))))
(.f64 K (.f64 m (sin.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M)))))
(.f64 K (.f64 m (sin.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M)))))
(.f64 K (.f64 m (sin.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M)))))

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

localize94.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M))
	0.1b	(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) 2))
	0.5b	(pow.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) 2)
	38.0b	(cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M)))

Compiler

Compiled 135 to 40 computations (70.4% saved)

series8.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite91.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

815×	`prod-diff_binary64`
478×	`log-prod_binary64`
344×	`pow-prod-down_binary64`
266×	`pow2_binary64`
255×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	218	11
2	2973	11

Stop Event

1×	node limit

Counts

1 → 79

Calls

Call 1

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

Outputs

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

simplify94.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

629×	`fma-def_binary64`
571×	`fma-neg_binary64`
181×	`cancel-sign-sub-inv_binary64`
116×	`distribute-rgt-neg-in_binary64`
90×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	591
1	50	555
2	101	555
3	160	555
4	263	555
5	438	555
6	877	555
7	1548	555
8	2068	555
9	2361	555
10	2499	555
11	2501	555
12	2501	555

Stop Event

1×

saturated

Counts

127 → 94

Calls

Call 1

Inputs
(*.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))))

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

eval1.1s (5.3%)

Compiler: Compiled 33186 to 15530 computations (53.2% saved)

prune284.0ms (1.4%)

Pruning

31 alts after pruning (31 fresh and 0 done)

	Pruned	Kept	Total
New	846	20	866
Fresh	6	11	17
Picked	1	0	1
Done	4	0	4
Total	857	31	888

Error

1.7b

Counts

888 → 31

Alt Table

Click to see full alt table

Status	Error	Program
▶	47.4b	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 M) (exp.f64 l))) 3)
	52.8b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (.f64 (+.f64 1 (.f64 m (+.f64 M (.f64 m (fma.f64 M (.f64 M 1/2) -1/4))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M M l)))))
	57.6b	(.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 (fma.f64 (sqrt.f64 (.f64 K (+.f64 m n))) (.f64 (sqrt.f64 (.f64 K (+.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 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	52.3b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))
	48.8b	(.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)))) (exp.f64 (neg.f64 l)))
	36.6b	(.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M)))) 3) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	47.4b	(-.f64 (+.f64 1 (*.f64 (cos.f64 M) (exp.f64 l))) 1)
	52.1b	(.f64 (cos.f64 (-.f64 (/.f64 (expm1.f64 (log1p.f64 (.f64 K (+.f64 m n)))) 2) M)) (exp.f64 (neg.f64 l)))
	60.2b	(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
	56.7b	(.f64 (cos.f64 (/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 (.f64 K (+.f64 m n)) 2) 1/4) (.f64 M (fma.f64 (.f64 K (+.f64 m n)) 1/2 M))) (-.f64 (.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3) 1/8) (pow.f64 M 3))))) (exp.f64 (neg.f64 l)))
	53.9b	(.f64 (cos.f64 (expm1.f64 (log1p.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M))))) (exp.f64 (neg.f64 l)))
	38.2b	(+.f64 (.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 (.f64 K m) -1/2)) (exp.f64 (-.f64 (.f64 M M) (-.f64 l (-.f64 m n))))) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (exp.f64 (-.f64 (*.f64 M M) (-.f64 l (-.f64 m n))))))
	27.5b	(.f64 (cos.f64 M) (exp.f64 (.f64 m (*.f64 m -1/4))))
▶	42.1b	(.f64 (fma.f64 (.f64 -1/2 K) (.f64 m (sin.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))) (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 M M))))
	43.9b	(/.f64 (cos.f64 M) (exp.f64 l))
	48.4b	(.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 K (+.f64 m n))) 3) 2) M)) (exp.f64 (neg.f64 l)))
▶	26.8b	(.f64 (cos.f64 M) (exp.f64 (.f64 n (*.f64 n -1/4))))
	32.3b	(.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	47.2b	(.f64 (sqrt.f64 (pow.f64 (cos.f64 (expm1.f64 (log1p.f64 (fma.f64 (+.f64 m n) (.f64 K 1/2) M)))) 2)) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	46.9b	(.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (exp.f64 (neg.f64 l)))
	53.6b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (log1p.f64 (expm1.f64 (fma.f64 m (fma.f64 n -1/2 M) (fma.f64 (*.f64 m m) (fma.f64 1/2 (pow.f64 (fma.f64 n -1/2 M) 2) -1/4) 1))))))
	34.8b	(.f64 (sqrt.f64 (pow.f64 (cos.f64 (.f64 K (.f64 1/2 m))) 2)) (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	29.9b	(.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M))))
	48.4b	(.f64 (cos.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) 2) (cbrt.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))) (neg.f64 M))) (exp.f64 (neg.f64 l)))
	54.2b	(.f64 (exp.f64 (log.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (+.f64 (.f64 (+.f64 M (.f64 -1/2 n)) m) (+.f64 (.f64 m (.f64 m (fma.f64 1/2 (pow.f64 (+.f64 M (*.f64 -1/2 n)) 2) -1/4))) 1))))
▶	25.7b	(.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 m (*.f64 m 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))))
	50.4b	(sqrt.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 (+.f64 m n) (.f64 K 1/2) (neg.f64 M))) (exp.f64 l)) 2))
	43.9b	(exp.f64 (neg.f64 l))
	53.7b	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (.f64 (-.f64 (.f64 m m) (.f64 n n)) K) (-.f64 m n)) 2) M)) (exp.f64 (neg.f64 l)))
	60.2b	(*.f64 (cos.f64 M) (-.f64 1 l))
▶	59.9b	(cos.f64 M)

Compiler

Compiled 1622 to 1138 computations (29.8% saved)

localize32.0ms (0.2%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

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

✓

0.0b

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

✓

0.0b

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

Compiler

Compiled 83 to 37 computations (55.4% saved)

series44.0ms (0.2%)

Counts

3 → 120

Calls

30 calls:

Time	Variable		Point	Expression
1.0ms	m	@	0	(.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 m (*.f64 m 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))))
1.0ms	m	@	0	(exp.f64 (-.f64 (neg.f64 (.f64 m (.f64 m 1/4))) (-.f64 l (fabs.f64 (-.f64 m n)))))
1.0ms	m	@	inf	(.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 m (*.f64 m 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))))
1.0ms	n	@	0	(.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 m (*.f64 m 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))))
1.0ms	M	@	inf	(.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 m (*.f64 m 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))))

rewrite97.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

862×	`log-prod_binary64`
498×	`fma-neg_binary64`
302×	`expm1-udef_binary64`
302×	`log1p-udef_binary64`
239×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	69
1	361	57
2	5366	57

Stop Event

1×	node limit

Counts

3 → 161

Calls

Call 1

Inputs

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

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

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

Outputs

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

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simplify110.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

684×	`times-frac_binary64`
623×	`fma-neg_binary64`
616×	`fma-def_binary64`
567×	`associate-l_binary64`
480×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	123	3064
1	349	2908
2	996	2618
3	4537	2614

Stop Event

1×	node limit

Counts

281 → 223

Calls

Call 1

Inputs
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l))
(+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (.f64 -1/4 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (pow.f64 m 2))))
(+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (+.f64 (.f64 1/32 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (pow.f64 m 4))) (.f64 -1/4 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (pow.f64 m 2)))))
(+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (+.f64 (.f64 1/32 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (pow.f64 m 4))) (+.f64 (.f64 -1/4 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (pow.f64 m 2))) (.f64 -1/384 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (pow.f64 m 6))))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 m 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 m 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 m 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 m 2)))))
(exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m)))) (+.f64 l (.f64 1/4 (pow.f64 m 2)))))
(exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m)))) (+.f64 l (.f64 1/4 (pow.f64 m 2)))))
(exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m)))) (+.f64 l (.f64 1/4 (pow.f64 m 2)))))
(exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m)))) (+.f64 l (.f64 1/4 (pow.f64 m 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (*.f64 1/4 (pow.f64 m 2))))
(+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 1/4 (pow.f64 m 2)))) (.f64 -1 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 1/4 (pow.f64 m 2)))) l)))
(+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 1/4 (pow.f64 m 2)))) (+.f64 (.f64 1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 1/4 (pow.f64 m 2)))) (pow.f64 l 2))) (.f64 -1 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (*.f64 1/4 (pow.f64 m 2)))) l))))
(+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 1/4 (pow.f64 m 2)))) (+.f64 (.f64 1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 1/4 (pow.f64 m 2)))) (pow.f64 l 2))) (+.f64 (.f64 -1 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 1/4 (pow.f64 m 2)))) l)) (.f64 -1/6 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 1/4 (pow.f64 m 2)))) (pow.f64 l 3))))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 m 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 m 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 m 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 m 2)))))
(exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (.f64 1/4 (pow.f64 m 2))))
(exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (.f64 1/4 (pow.f64 m 2))))
(exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (.f64 1/4 (pow.f64 m 2))))
(exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (.f64 1/4 (pow.f64 m 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 m 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 m 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 m 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 m 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 m 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 m 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 m 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 m 2)))))
(exp.f64 (-.f64 (fabs.f64 (+.f64 (.f64 -1 n) m)) (+.f64 l (.f64 1/4 (pow.f64 m 2)))))
(exp.f64 (-.f64 (fabs.f64 (+.f64 (.f64 -1 n) m)) (+.f64 l (.f64 1/4 (pow.f64 m 2)))))
(exp.f64 (-.f64 (fabs.f64 (+.f64 (.f64 -1 n) m)) (+.f64 l (.f64 1/4 (pow.f64 m 2)))))
(exp.f64 (-.f64 (fabs.f64 (+.f64 (.f64 -1 n) m)) (+.f64 l (.f64 1/4 (pow.f64 m 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 m 2)))))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 m 2))))) (pow.f64 M 2))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 m 2))))))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 m 2))))) (pow.f64 M 2))) (+.f64 (.f64 1/24 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 m 2))))) (pow.f64 M 4))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 m 2)))))))
(+.f64 (.f64 -1/720 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 m 2))))) (pow.f64 M 6))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 m 2))))) (pow.f64 M 2))) (+.f64 (.f64 1/24 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 m 2))))) (pow.f64 M 4))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 m 2))))))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 m 2))))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 m 2))))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 m 2))))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 m 2))))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 m 2))))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 m 2))))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 m 2))))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 m 2))))) (cos.f64 M))
(*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (cos.f64 M))
(+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (cos.f64 M)) (.f64 -1/4 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (.f64 (pow.f64 m 2) (cos.f64 M)))))
(+.f64 (.f64 1/32 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (.f64 (pow.f64 m 4) (cos.f64 M)))) (+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (cos.f64 M)) (.f64 -1/4 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (*.f64 (pow.f64 m 2) (cos.f64 M))))))
(+.f64 (.f64 -1/384 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (.f64 (pow.f64 m 6) (cos.f64 M)))) (+.f64 (.f64 1/32 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (.f64 (pow.f64 m 4) (cos.f64 M)))) (+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (cos.f64 M)) (.f64 -1/4 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (.f64 (pow.f64 m 2) (cos.f64 M)))))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 m 2))))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 m 2))))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 m 2))))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 m 2))))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m)))) (+.f64 l (*.f64 1/4 (pow.f64 m 2))))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m)))) (+.f64 l (*.f64 1/4 (pow.f64 m 2))))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m)))) (+.f64 l (*.f64 1/4 (pow.f64 m 2))))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m)))) (+.f64 l (*.f64 1/4 (pow.f64 m 2))))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 1/4 (pow.f64 m 2)))) (cos.f64 M))
(+.f64 (.f64 -1 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 1/4 (pow.f64 m 2)))) (.f64 l (cos.f64 M)))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 1/4 (pow.f64 m 2)))) (cos.f64 M)))
(+.f64 (.f64 -1 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 1/4 (pow.f64 m 2)))) (.f64 l (cos.f64 M)))) (+.f64 (.f64 1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 1/4 (pow.f64 m 2)))) (.f64 (pow.f64 l 2) (cos.f64 M)))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 1/4 (pow.f64 m 2)))) (cos.f64 M))))
(+.f64 (.f64 -1/6 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 1/4 (pow.f64 m 2)))) (.f64 (pow.f64 l 3) (cos.f64 M)))) (+.f64 (.f64 -1 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 1/4 (pow.f64 m 2)))) (.f64 l (cos.f64 M)))) (+.f64 (.f64 1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 1/4 (pow.f64 m 2)))) (.f64 (pow.f64 l 2) (cos.f64 M)))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 1/4 (pow.f64 m 2)))) (cos.f64 M)))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 m 2))))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 m 2))))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 m 2))))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 m 2))))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (*.f64 1/4 (pow.f64 m 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (*.f64 1/4 (pow.f64 m 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (*.f64 1/4 (pow.f64 m 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (*.f64 1/4 (pow.f64 m 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 m 2))))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 m 2))))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 m 2))))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 m 2))))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 m 2))))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 m 2))))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 m 2))))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 m 2))))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (+.f64 (.f64 -1 n) m)) (+.f64 l (*.f64 1/4 (pow.f64 m 2))))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (+.f64 (.f64 -1 n) m)) (+.f64 l (*.f64 1/4 (pow.f64 m 2))))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (+.f64 (.f64 -1 n) m)) (+.f64 l (*.f64 1/4 (pow.f64 m 2))))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (+.f64 (.f64 -1 n) m)) (+.f64 l (*.f64 1/4 (pow.f64 m 2))))) (cos.f64 M))
(-.f64 (fabs.f64 (-.f64 m n)) l)
(-.f64 (+.f64 (*.f64 -1/4 (pow.f64 m 2)) (fabs.f64 (-.f64 m n))) l)
(-.f64 (+.f64 (*.f64 -1/4 (pow.f64 m 2)) (fabs.f64 (-.f64 m n))) l)
(-.f64 (+.f64 (*.f64 -1/4 (pow.f64 m 2)) (fabs.f64 (-.f64 m n))) l)
(*.f64 -1/4 (pow.f64 m 2))
(-.f64 (+.f64 (*.f64 -1/4 (pow.f64 m 2)) (fabs.f64 (-.f64 m n))) l)
(-.f64 (+.f64 (*.f64 -1/4 (pow.f64 m 2)) (fabs.f64 (-.f64 m n))) l)
(-.f64 (+.f64 (*.f64 -1/4 (pow.f64 m 2)) (fabs.f64 (-.f64 m n))) l)
(*.f64 -1/4 (pow.f64 m 2))
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 m 2)) (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m))))) l)
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 m 2)) (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m))))) l)
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 m 2)) (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m))))) l)
(-.f64 (fabs.f64 (-.f64 m n)) (*.f64 1/4 (pow.f64 m 2)))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (.f64 1/4 (pow.f64 m 2)))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (.f64 1/4 (pow.f64 m 2)))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (.f64 1/4 (pow.f64 m 2)))
(*.f64 -1 l)
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (.f64 1/4 (pow.f64 m 2)))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (.f64 1/4 (pow.f64 m 2)))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (.f64 1/4 (pow.f64 m 2)))
(*.f64 -1 l)
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (.f64 1/4 (pow.f64 m 2)))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (.f64 1/4 (pow.f64 m 2)))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (.f64 1/4 (pow.f64 m 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 m 2))))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 m 2))))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 m 2))))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 m 2))))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 m 2))))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 m 2))))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 m 2))))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 m 2))))
(-.f64 (fabs.f64 (+.f64 (.f64 -1 n) m)) (+.f64 l (.f64 1/4 (pow.f64 m 2))))
(-.f64 (fabs.f64 (+.f64 (.f64 -1 n) m)) (+.f64 l (.f64 1/4 (pow.f64 m 2))))
(-.f64 (fabs.f64 (+.f64 (.f64 -1 n) m)) (+.f64 l (.f64 1/4 (pow.f64 m 2))))
(-.f64 (fabs.f64 (+.f64 (.f64 -1 n) m)) (+.f64 l (.f64 1/4 (pow.f64 m 2))))

Outputs
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l))
(+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (.f64 -1/4 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (pow.f64 m 2))))
(+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (.f64 -1/4 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (*.f64 m m))))
(fma.f64 -1/4 (.f64 m (.f64 m (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)))
(.f64 (+.f64 (.f64 m (*.f64 m -1/4)) 1) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)))
(.f64 (+.f64 (.f64 m (*.f64 m -1/4)) 1) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))
(+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (+.f64 (.f64 1/32 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (pow.f64 m 4))) (.f64 -1/4 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (pow.f64 m 2)))))
(+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (fma.f64 1/32 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (pow.f64 m 4)) (.f64 -1/4 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (.f64 m m)))))
(+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (fma.f64 -1/4 (.f64 m (.f64 m (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (.f64 (pow.f64 m 4) 1/32))))
(+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (+.f64 (.f64 m (.f64 m -1/4)) (.f64 1/32 (pow.f64 m 4)))))
(+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)) (+.f64 (.f64 m (.f64 m -1/4)) (.f64 1/32 (pow.f64 m 4)))))
(+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (+.f64 (.f64 1/32 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (pow.f64 m 4))) (+.f64 (.f64 -1/4 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (pow.f64 m 2))) (.f64 -1/384 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (pow.f64 m 6))))))
(+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (fma.f64 1/32 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (pow.f64 m 4)) (fma.f64 -1/4 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (.f64 m m)) (.f64 (*.f64 -1/384 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l))) (pow.f64 m 6)))))
(+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (fma.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) 1/32) (pow.f64 m 4) (fma.f64 -1/4 (.f64 m (.f64 m (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (*.f64 (pow.f64 m 6) -1/384)))))
(+.f64 (.f64 (+.f64 (.f64 m (.f64 m -1/4)) 1) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (+.f64 (.f64 -1/384 (pow.f64 m 6)) (.f64 1/32 (pow.f64 m 4)))))
(+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)) (+.f64 (.f64 m (.f64 m -1/4)) (.f64 -1/384 (pow.f64 m 6)))) (.f64 (+.f64 (.f64 1/32 (pow.f64 m 4)) 1) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 m 2)))))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 (.f64 m m) 1/4)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 m m) 1/4 l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 m (*.f64 m 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 m (*.f64 m 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 m 2)))))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 (.f64 m m) 1/4)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 m m) 1/4 l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 m (*.f64 m 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 m (*.f64 m 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 m 2)))))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 (.f64 m m) 1/4)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 m m) 1/4 l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 m (*.f64 m 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 m (*.f64 m 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 m 2)))))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 (.f64 m m) 1/4)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 m m) 1/4 l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 m (*.f64 m 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 m (*.f64 m 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m)))) (+.f64 l (.f64 1/4 (pow.f64 m 2)))))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 (.f64 m m) 1/4)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 m m) 1/4 l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 m (*.f64 m 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 m (*.f64 m 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m)))) (+.f64 l (.f64 1/4 (pow.f64 m 2)))))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 (.f64 m m) 1/4)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 m m) 1/4 l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 m (*.f64 m 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 m (*.f64 m 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m)))) (+.f64 l (.f64 1/4 (pow.f64 m 2)))))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 (.f64 m m) 1/4)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 m m) 1/4 l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 m (*.f64 m 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 m (*.f64 m 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m)))) (+.f64 l (.f64 1/4 (pow.f64 m 2)))))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 (.f64 m m) 1/4)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 m m) 1/4 l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 m (*.f64 m 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 m (*.f64 m 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (*.f64 1/4 (pow.f64 m 2))))
(exp.f64 (fma.f64 -1/4 (*.f64 m m) (fabs.f64 (-.f64 m n))))
(exp.f64 (fma.f64 m (*.f64 m -1/4) (fabs.f64 (-.f64 m n))))
(exp.f64 (fma.f64 m (*.f64 m -1/4) (fabs.f64 (-.f64 n m))))
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(.f64 (+.f64 (neg.f64 l) 1) (exp.f64 (fma.f64 m (.f64 m -1/4) (fabs.f64 (-.f64 m n)))))
(.f64 (+.f64 (neg.f64 l) 1) (exp.f64 (fma.f64 m (.f64 m -1/4) (fabs.f64 (-.f64 n m)))))
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(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 (.f64 m m) 1/4)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 m m) 1/4 l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 m (*.f64 m 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 m (*.f64 m 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 m 2)))))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 (.f64 m m) 1/4)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 m m) 1/4 l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 m (*.f64 m 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 m (*.f64 m 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 m 2)))))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 (.f64 m m) 1/4)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 m m) 1/4 l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 m (*.f64 m 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 m (*.f64 m 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 m 2)))))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 (.f64 m m) 1/4)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 m m) 1/4 l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 m (*.f64 m 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 m (*.f64 m 1/4) l)))
(exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (.f64 1/4 (pow.f64 m 2))))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 (.f64 m m) 1/4)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 m m) 1/4 l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 m (*.f64 m 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 m (*.f64 m 1/4) l)))
(exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (.f64 1/4 (pow.f64 m 2))))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 (.f64 m m) 1/4)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 m m) 1/4 l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 m (*.f64 m 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 m (*.f64 m 1/4) l)))
(exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (.f64 1/4 (pow.f64 m 2))))
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(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 m m) 1/4 l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 m (*.f64 m 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 m (*.f64 m 1/4) l)))
(exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (.f64 1/4 (pow.f64 m 2))))
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(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 m m) 1/4 l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 m (*.f64 m 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 m (*.f64 m 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 m 2)))))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 (.f64 m m) 1/4)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 m m) 1/4 l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 m (*.f64 m 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 m (*.f64 m 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 m 2)))))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 (.f64 m m) 1/4)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 m m) 1/4 l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 m (*.f64 m 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 m (*.f64 m 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 m 2)))))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 (.f64 m m) 1/4)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 m m) 1/4 l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 m (*.f64 m 1/4) l)))
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(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 (.f64 m m) 1/4)))
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(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 m (*.f64 m 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 m 2)))))
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(.f64 (+.f64 (.f64 -1/2 (.f64 M M)) 1) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 m (.f64 m 1/4) l))))
(.f64 (+.f64 (.f64 -1/2 (.f64 M M)) 1) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 m (.f64 m 1/4) l))))
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(-.f64 (+.f64 (*.f64 -1/4 (pow.f64 m 2)) (fabs.f64 (-.f64 m n))) l)
(-.f64 (fma.f64 -1/4 (*.f64 m m) (fabs.f64 (-.f64 m n))) l)
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 m m) 1/4 l))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 m (*.f64 m 1/4) l))
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 m (*.f64 m 1/4) l))
(*.f64 -1/4 (pow.f64 m 2))
(.f64 -1/4 (.f64 m m))
(.f64 m (.f64 m -1/4))
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 m 2)) (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m))))) l)
(-.f64 (fma.f64 -1/4 (*.f64 m m) (fabs.f64 (-.f64 m n))) l)
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 m m) 1/4 l))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 m (*.f64 m 1/4) l))
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 m (*.f64 m 1/4) l))
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 m 2)) (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m))))) l)
(-.f64 (fma.f64 -1/4 (*.f64 m m) (fabs.f64 (-.f64 m n))) l)
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 m m) 1/4 l))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 m (*.f64 m 1/4) l))
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 m (*.f64 m 1/4) l))
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 m 2)) (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m))))) l)
(-.f64 (fma.f64 -1/4 (*.f64 m m) (fabs.f64 (-.f64 m n))) l)
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 m m) 1/4 l))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 m (*.f64 m 1/4) l))
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 m (*.f64 m 1/4) l))
(-.f64 (fabs.f64 (-.f64 m n)) (*.f64 1/4 (pow.f64 m 2)))
(fma.f64 -1/4 (*.f64 m m) (fabs.f64 (-.f64 m n)))
(fma.f64 m (*.f64 m -1/4) (fabs.f64 (-.f64 m n)))
(fma.f64 m (*.f64 m -1/4) (fabs.f64 (-.f64 n m)))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (.f64 1/4 (pow.f64 m 2)))
(-.f64 (fma.f64 -1/4 (*.f64 m m) (fabs.f64 (-.f64 m n))) l)
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 m m) 1/4 l))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 m (*.f64 m 1/4) l))
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 m (*.f64 m 1/4) l))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (.f64 1/4 (pow.f64 m 2)))
(-.f64 (fma.f64 -1/4 (*.f64 m m) (fabs.f64 (-.f64 m n))) l)
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 m m) 1/4 l))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 m (*.f64 m 1/4) l))
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 m (*.f64 m 1/4) l))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (.f64 1/4 (pow.f64 m 2)))
(-.f64 (fma.f64 -1/4 (*.f64 m m) (fabs.f64 (-.f64 m n))) l)
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 m m) 1/4 l))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 m (*.f64 m 1/4) l))
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 m (*.f64 m 1/4) l))
(*.f64 -1 l)
(neg.f64 l)
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (.f64 1/4 (pow.f64 m 2)))
(-.f64 (fma.f64 -1/4 (*.f64 m m) (fabs.f64 (-.f64 m n))) l)
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 m m) 1/4 l))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 m (*.f64 m 1/4) l))
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 m (*.f64 m 1/4) l))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (.f64 1/4 (pow.f64 m 2)))
(-.f64 (fma.f64 -1/4 (*.f64 m m) (fabs.f64 (-.f64 m n))) l)
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 m m) 1/4 l))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 m (*.f64 m 1/4) l))
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 m (*.f64 m 1/4) l))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (.f64 1/4 (pow.f64 m 2)))
(-.f64 (fma.f64 -1/4 (*.f64 m m) (fabs.f64 (-.f64 m n))) l)
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 m m) 1/4 l))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 m (*.f64 m 1/4) l))
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 m (*.f64 m 1/4) l))
(*.f64 -1 l)
(neg.f64 l)
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (.f64 1/4 (pow.f64 m 2)))
(-.f64 (fma.f64 -1/4 (*.f64 m m) (fabs.f64 (-.f64 m n))) l)
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 m m) 1/4 l))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 m (*.f64 m 1/4) l))
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 m (*.f64 m 1/4) l))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (.f64 1/4 (pow.f64 m 2)))
(-.f64 (fma.f64 -1/4 (*.f64 m m) (fabs.f64 (-.f64 m n))) l)
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 m m) 1/4 l))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 m (*.f64 m 1/4) l))
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 m (*.f64 m 1/4) l))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (.f64 1/4 (pow.f64 m 2)))
(-.f64 (fma.f64 -1/4 (*.f64 m m) (fabs.f64 (-.f64 m n))) l)
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 m m) 1/4 l))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 m (*.f64 m 1/4) l))
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 m (*.f64 m 1/4) l))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 m 2))))
(-.f64 (fma.f64 -1/4 (*.f64 m m) (fabs.f64 (-.f64 m n))) l)
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 m m) 1/4 l))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 m (*.f64 m 1/4) l))
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 m (*.f64 m 1/4) l))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 m 2))))
(-.f64 (fma.f64 -1/4 (*.f64 m m) (fabs.f64 (-.f64 m n))) l)
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 m m) 1/4 l))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 m (*.f64 m 1/4) l))
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 m (*.f64 m 1/4) l))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 m 2))))
(-.f64 (fma.f64 -1/4 (*.f64 m m) (fabs.f64 (-.f64 m n))) l)
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 m m) 1/4 l))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 m (*.f64 m 1/4) l))
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 m (*.f64 m 1/4) l))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 m 2))))
(-.f64 (fma.f64 -1/4 (*.f64 m m) (fabs.f64 (-.f64 m n))) l)
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 m m) 1/4 l))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 m (*.f64 m 1/4) l))
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 m (*.f64 m 1/4) l))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 m 2))))
(-.f64 (fma.f64 -1/4 (*.f64 m m) (fabs.f64 (-.f64 m n))) l)
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 m m) 1/4 l))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 m (*.f64 m 1/4) l))
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 m (*.f64 m 1/4) l))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 m 2))))
(-.f64 (fma.f64 -1/4 (*.f64 m m) (fabs.f64 (-.f64 m n))) l)
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 m m) 1/4 l))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 m (*.f64 m 1/4) l))
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 m (*.f64 m 1/4) l))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 m 2))))
(-.f64 (fma.f64 -1/4 (*.f64 m m) (fabs.f64 (-.f64 m n))) l)
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 m m) 1/4 l))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 m (*.f64 m 1/4) l))
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 m (*.f64 m 1/4) l))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 m 2))))
(-.f64 (fma.f64 -1/4 (*.f64 m m) (fabs.f64 (-.f64 m n))) l)
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 m m) 1/4 l))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 m (*.f64 m 1/4) l))
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 m (*.f64 m 1/4) l))
(-.f64 (fabs.f64 (+.f64 (.f64 -1 n) m)) (+.f64 l (.f64 1/4 (pow.f64 m 2))))
(-.f64 (fma.f64 -1/4 (*.f64 m m) (fabs.f64 (-.f64 m n))) l)
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 m m) 1/4 l))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 m (*.f64 m 1/4) l))
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 m (*.f64 m 1/4) l))
(-.f64 (fabs.f64 (+.f64 (.f64 -1 n) m)) (+.f64 l (.f64 1/4 (pow.f64 m 2))))
(-.f64 (fma.f64 -1/4 (*.f64 m m) (fabs.f64 (-.f64 m n))) l)
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 m m) 1/4 l))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 m (*.f64 m 1/4) l))
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 m (*.f64 m 1/4) l))
(-.f64 (fabs.f64 (+.f64 (.f64 -1 n) m)) (+.f64 l (.f64 1/4 (pow.f64 m 2))))
(-.f64 (fma.f64 -1/4 (*.f64 m m) (fabs.f64 (-.f64 m n))) l)
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 m m) 1/4 l))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 m (*.f64 m 1/4) l))
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 m (*.f64 m 1/4) l))
(-.f64 (fabs.f64 (+.f64 (.f64 -1 n) m)) (+.f64 l (.f64 1/4 (pow.f64 m 2))))
(-.f64 (fma.f64 -1/4 (*.f64 m m) (fabs.f64 (-.f64 m n))) l)
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 (*.f64 m m) 1/4 l))
(-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 m (*.f64 m 1/4) l))
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 m (*.f64 m 1/4) l))

localize6.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

localize49.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (.f64 n (.f64 n -1/4)))

Compiler

Compiled 33 to 21 computations (36.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	n	@	0	(exp.f64 (.f64 n (.f64 n -1/4)))
0.0ms	n	@	inf	(exp.f64 (.f64 n (.f64 n -1/4)))
0.0ms	n	@	-inf	(exp.f64 (.f64 n (.f64 n -1/4)))

rewrite44.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

522×	`pow1_binary64`
504×	`add-sqr-sqrt_binary64`
483×	`add-log-exp_binary64`
483×	`log1p-expm1-u_binary64`
483×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	118	9
2	1336	9

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(exp.f64 (.f64 n (.f64 n -1/4)))

Outputs

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

simplify54.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

704×	`fma-def_binary64`
659×	`associate-/r*_binary64`
556×	`associate-*r/_binary64`
450×	`associate-*l/_binary64`
370×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	124
1	52	122
2	118	120
3	334	118
4	1235	118
5	3246	118
6	4940	118

Stop Event

1×	node limit

Counts

37 → 34

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/4 (pow.f64 n 2)))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 n 2)) (.f64 1/32 (pow.f64 n 4))))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 n 2)) (+.f64 (.f64 -1/384 (pow.f64 n 6)) (*.f64 1/32 (pow.f64 n 4)))))
(exp.f64 (*.f64 -1/4 (pow.f64 n 2)))
(exp.f64 (*.f64 -1/4 (pow.f64 n 2)))
(exp.f64 (*.f64 -1/4 (pow.f64 n 2)))
(exp.f64 (*.f64 -1/4 (pow.f64 n 2)))
(exp.f64 (*.f64 -1/4 (pow.f64 n 2)))
(exp.f64 (*.f64 -1/4 (pow.f64 n 2)))
(exp.f64 (*.f64 -1/4 (pow.f64 n 2)))
(exp.f64 (*.f64 -1/4 (pow.f64 n 2)))

Outputs
1
(+.f64 1 (*.f64 -1/4 (pow.f64 n 2)))
(+.f64 1 (.f64 -1/4 (.f64 n n)))
(fma.f64 -1/4 (*.f64 n n) 1)
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 n 2)) (.f64 1/32 (pow.f64 n 4))))
(+.f64 1 (fma.f64 -1/4 (.f64 n n) (.f64 1/32 (pow.f64 n 4))))
(fma.f64 -1/4 (*.f64 n n) (fma.f64 1/32 (pow.f64 n 4) 1))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 n 2)) (+.f64 (.f64 -1/384 (pow.f64 n 6)) (*.f64 1/32 (pow.f64 n 4)))))
(+.f64 1 (fma.f64 -1/4 (.f64 n n) (fma.f64 -1/384 (pow.f64 n 6) (.f64 1/32 (pow.f64 n 4)))))
(+.f64 1 (fma.f64 -1/4 (.f64 n n) (fma.f64 1/32 (pow.f64 n 4) (.f64 -1/384 (pow.f64 n 6)))))
(fma.f64 -1/384 (pow.f64 n 6) (fma.f64 -1/4 (*.f64 n n) (fma.f64 1/32 (pow.f64 n 4) 1)))
(fma.f64 1/32 (pow.f64 n 4) (fma.f64 -1/384 (pow.f64 n 6) (fma.f64 -1/4 (*.f64 n n) 1)))
(fma.f64 n (*.f64 n (fma.f64 (pow.f64 n 4) -1/384 -1/4)) (fma.f64 1/32 (pow.f64 n 4) 1))
(exp.f64 (*.f64 -1/4 (pow.f64 n 2)))
(pow.f64 (exp.f64 -1/4) (*.f64 n n))
(exp.f64 (*.f64 -1/4 (pow.f64 n 2)))
(pow.f64 (exp.f64 -1/4) (*.f64 n n))
(exp.f64 (*.f64 -1/4 (pow.f64 n 2)))
(pow.f64 (exp.f64 -1/4) (*.f64 n n))
(exp.f64 (*.f64 -1/4 (pow.f64 n 2)))
(pow.f64 (exp.f64 -1/4) (*.f64 n n))
(exp.f64 (*.f64 -1/4 (pow.f64 n 2)))
(pow.f64 (exp.f64 -1/4) (*.f64 n n))
(exp.f64 (*.f64 -1/4 (pow.f64 n 2)))
(pow.f64 (exp.f64 -1/4) (*.f64 n n))
(exp.f64 (*.f64 -1/4 (pow.f64 n 2)))
(pow.f64 (exp.f64 -1/4) (*.f64 n n))
(exp.f64 (*.f64 -1/4 (pow.f64 n 2)))
(pow.f64 (exp.f64 -1/4) (*.f64 n n))

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 M) (exp.f64 l))) 3)
✓	0.2b	(cbrt.f64 (*.f64 (cos.f64 M) (exp.f64 l)))

Compiler

Compiled 31 to 12 computations (61.3% saved)

series23.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	l	@	-inf	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 M) (exp.f64 l))) 3)
3.0ms	M	@	0	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 M) (exp.f64 l))) 3)
3.0ms	l	@	0	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 M) (exp.f64 l))) 3)
2.0ms	M	@	inf	(cbrt.f64 (*.f64 (cos.f64 M) (exp.f64 l)))
2.0ms	l	@	-inf	(cbrt.f64 (*.f64 (cos.f64 M) (exp.f64 l)))

rewrite77.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

706×	`pow1_binary64`
657×	`add-log-exp_binary64`
657×	`log1p-expm1-u_binary64`
657×	`expm1-log1p-u_binary64`
640×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	182	18
2	1847	18

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 (cos.f64 M) (exp.f64 l)))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 M) (exp.f64 l))) 3)

Outputs

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

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

simplify131.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

516×	`distribute-rgt-in_binary64`
511×	`distribute-lft-in_binary64`
485×	`associate-+l+_binary64`
461×	`associate-+r+_binary64`
269×	`distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	188	1820
1	634	1744
2	2146	1679
3	6498	1667

Stop Event

1×	node limit

Counts

102 → 89

Calls

Call 1

Inputs
(pow.f64 (exp.f64 l) 1/3)
(+.f64 (pow.f64 (exp.f64 l) 1/3) (.f64 -1/6 (.f64 (pow.f64 (*.f64 (exp.f64 l) 1) 1/3) (pow.f64 M 2))))
(+.f64 (pow.f64 (exp.f64 l) 1/3) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 (exp.f64 l) 1) 1/3) (pow.f64 M 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 l) 2)) 1/3) (.f64 (-.f64 (.f64 1/24 (exp.f64 l)) (.f64 1/12 (exp.f64 l))) (pow.f64 M 4))))))
(+.f64 (pow.f64 (exp.f64 l) 1/3) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 (exp.f64 l) 1) 1/3) (pow.f64 M 2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 l) 2)) 1/3) (.f64 (-.f64 (.f64 -1/720 (exp.f64 l)) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/24 (exp.f64 l)) (.f64 1/12 (exp.f64 l)))) (.f64 -1/216 (exp.f64 l)))) (pow.f64 M 6)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 l) 2)) 1/3) (.f64 (-.f64 (.f64 1/24 (exp.f64 l)) (.f64 1/12 (exp.f64 l))) (pow.f64 M 4)))))))
(pow.f64 (*.f64 (exp.f64 l) (cos.f64 M)) 1/3)
(pow.f64 (*.f64 (exp.f64 l) (cos.f64 M)) 1/3)
(pow.f64 (*.f64 (exp.f64 l) (cos.f64 M)) 1/3)
(pow.f64 (*.f64 (exp.f64 l) (cos.f64 M)) 1/3)
(pow.f64 (*.f64 (exp.f64 l) (cos.f64 M)) 1/3)
(pow.f64 (*.f64 (exp.f64 l) (cos.f64 M)) 1/3)
(pow.f64 (*.f64 (exp.f64 l) (cos.f64 M)) 1/3)
(pow.f64 (*.f64 (exp.f64 l) (cos.f64 M)) 1/3)
(pow.f64 (cos.f64 M) 1/3)
(+.f64 (pow.f64 (cos.f64 M) 1/3) (.f64 1/3 (.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 M) 7)) 1/9) l)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 M) 2)) 1/3) (.f64 (pow.f64 l 2) (-.f64 (.f64 1/2 (cos.f64 M)) (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (cos.f64 M) 17)) 1/9)))))) (+.f64 (pow.f64 (cos.f64 M) 1/3) (.f64 1/3 (.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 M) 7)) 1/9) l))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 M) 2)) 1/3) (.f64 (pow.f64 l 2) (-.f64 (.f64 1/2 (cos.f64 M)) (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (cos.f64 M) 17)) 1/9)))))) (+.f64 (pow.f64 (cos.f64 M) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 M) 7)) 1/9) l)) (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 1/6 (cos.f64 M)) (+.f64 (.f64 1/27 (pow.f64 (.f64 1 (pow.f64 (cos.f64 M) 7)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 M) 4)) 1/9) (-.f64 (.f64 1/2 (cos.f64 M)) (.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 M) 17)) 1/9))))))) (pow.f64 l 3)) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 M) 2)) 1/3))))))
(pow.f64 (*.f64 (exp.f64 l) (cos.f64 M)) 1/3)
(pow.f64 (*.f64 (exp.f64 l) (cos.f64 M)) 1/3)
(pow.f64 (*.f64 (exp.f64 l) (cos.f64 M)) 1/3)
(pow.f64 (*.f64 (exp.f64 l) (cos.f64 M)) 1/3)
(pow.f64 (*.f64 (exp.f64 l) (cos.f64 M)) 1/3)
(pow.f64 (*.f64 (exp.f64 l) (cos.f64 M)) 1/3)
(pow.f64 (*.f64 (exp.f64 l) (cos.f64 M)) 1/3)
(pow.f64 (*.f64 (exp.f64 l) (cos.f64 M)) 1/3)
(*.f64 (exp.f64 l) (pow.f64 1 1/3))
(+.f64 (.f64 (+.f64 (.f64 -1/6 (.f64 (exp.f64 l) (pow.f64 1 1/3))) (.f64 -1/3 (.f64 (exp.f64 l) (pow.f64 1 1/3)))) (pow.f64 M 2)) (.f64 (exp.f64 l) (pow.f64 1 1/3)))
(+.f64 (.f64 (+.f64 (.f64 -1/6 (.f64 (exp.f64 l) (pow.f64 1 1/3))) (.f64 -1/3 (.f64 (exp.f64 l) (pow.f64 1 1/3)))) (pow.f64 M 2)) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 (exp.f64 l)) (.f64 1/12 (exp.f64 l))))) (+.f64 (.f64 1/18 (.f64 (exp.f64 l) (pow.f64 1 1/3))) (.f64 (pow.f64 (.f64 (exp.f64 l) 1) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (exp.f64 l)) 1/3) (-.f64 (.f64 1/24 (exp.f64 l)) (.f64 1/12 (exp.f64 l))))) (.f64 1/36 (pow.f64 (.f64 (pow.f64 (exp.f64 l) 2) 1) 1/3)))))) (pow.f64 M 4)) (*.f64 (exp.f64 l) (pow.f64 1 1/3))))
(+.f64 (.f64 (+.f64 (.f64 -1/6 (.f64 (exp.f64 l) (pow.f64 1 1/3))) (.f64 -1/3 (.f64 (exp.f64 l) (pow.f64 1 1/3)))) (pow.f64 M 2)) (+.f64 (.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 (exp.f64 l) 1) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (exp.f64 l)) 1/3) (-.f64 (.f64 1/24 (exp.f64 l)) (.f64 1/12 (exp.f64 l))))) (.f64 1/36 (pow.f64 (.f64 (pow.f64 (exp.f64 l) 2) 1) 1/3))))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 (exp.f64 l)) (.f64 1/12 (exp.f64 l))))) (+.f64 (.f64 (pow.f64 (.f64 (exp.f64 l) 1) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (exp.f64 l)) 1/3) (-.f64 (.f64 -1/720 (exp.f64 l)) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/24 (exp.f64 l)) (.f64 1/12 (exp.f64 l)))) (.f64 -1/216 (exp.f64 l)))))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (exp.f64 l)) 1/3) (-.f64 (.f64 1/24 (exp.f64 l)) (.f64 1/12 (exp.f64 l))))))) (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1/720 (exp.f64 l)) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/24 (exp.f64 l)) (.f64 1/12 (exp.f64 l)))) (.f64 -1/216 (exp.f64 l))))))))) (pow.f64 M 6)) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 (exp.f64 l)) (.f64 1/12 (exp.f64 l))))) (+.f64 (.f64 1/18 (.f64 (exp.f64 l) (pow.f64 1 1/3))) (.f64 (pow.f64 (.f64 (exp.f64 l) 1) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (exp.f64 l)) 1/3) (-.f64 (.f64 1/24 (exp.f64 l)) (.f64 1/12 (exp.f64 l))))) (.f64 1/36 (pow.f64 (.f64 (pow.f64 (exp.f64 l) 2) 1) 1/3)))))) (pow.f64 M 4)) (*.f64 (exp.f64 l) (pow.f64 1 1/3)))))
(.f64 (.f64 (exp.f64 l) (cos.f64 M)) (pow.f64 1 1/3))
(.f64 (.f64 (exp.f64 l) (cos.f64 M)) (pow.f64 1 1/3))
(.f64 (.f64 (exp.f64 l) (cos.f64 M)) (pow.f64 1 1/3))
(.f64 (.f64 (exp.f64 l) (cos.f64 M)) (pow.f64 1 1/3))
(.f64 (.f64 (exp.f64 l) (cos.f64 M)) (pow.f64 1 1/3))
(.f64 (.f64 (exp.f64 l) (cos.f64 M)) (pow.f64 1 1/3))
(.f64 (.f64 (exp.f64 l) (cos.f64 M)) (pow.f64 1 1/3))
(.f64 (.f64 (exp.f64 l) (cos.f64 M)) (pow.f64 1 1/3))
(*.f64 (pow.f64 1 1/3) (cos.f64 M))
(+.f64 (.f64 (pow.f64 1 1/3) (cos.f64 M)) (.f64 (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (cos.f64 M) 13)) 1/9)) (.f64 2/3 (pow.f64 (.f64 1 (pow.f64 (cos.f64 M) 13)) 1/9))) l))
(+.f64 (.f64 (pow.f64 1 1/3) (cos.f64 M)) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 (cos.f64 M)) 1/3) (+.f64 (.f64 1/9 (pow.f64 (.f64 1 (pow.f64 (cos.f64 M) 14)) 1/9)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 M)) 1/3) (-.f64 (.f64 1/2 (cos.f64 M)) (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (cos.f64 M) 17)) 1/9))))))) (+.f64 (.f64 2/9 (pow.f64 (.f64 1 (pow.f64 (cos.f64 M) 17)) 1/9)) (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/2 (cos.f64 M)) (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (cos.f64 M) 17)) 1/9))))))) (pow.f64 l 2)) (.f64 (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (cos.f64 M) 13)) 1/9)) (.f64 2/3 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 M) 13)) 1/9))) l)))
(+.f64 (.f64 (pow.f64 1 1/3) (cos.f64 M)) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 M) 7)) 1/9) (+.f64 (.f64 1/9 (pow.f64 (.f64 1 (pow.f64 (cos.f64 M) 14)) 1/9)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 M)) 1/3) (-.f64 (.f64 1/2 (cos.f64 M)) (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (cos.f64 M) 17)) 1/9)))))))) (+.f64 (.f64 (pow.f64 (.f64 1 (cos.f64 M)) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 M)) 1/3) (-.f64 (.f64 1/6 (cos.f64 M)) (+.f64 (.f64 1/27 (pow.f64 (.f64 1 (pow.f64 (cos.f64 M) 7)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 M) 4)) 1/9) (-.f64 (.f64 1/2 (cos.f64 M)) (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (cos.f64 M) 17)) 1/9))))))))) (.f64 2/9 (.f64 (pow.f64 (.f64 1 (cos.f64 M)) 1/9) (-.f64 (.f64 1/2 (cos.f64 M)) (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (cos.f64 M) 17)) 1/9))))))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 M) 4)) 1/9) (-.f64 (.f64 1/2 (cos.f64 M)) (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (cos.f64 M) 17)) 1/9))))) (.f64 1/3 (.f64 (-.f64 (.f64 1/6 (cos.f64 M)) (+.f64 (.f64 1/27 (pow.f64 (.f64 1 (pow.f64 (cos.f64 M) 7)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 M) 4)) 1/9) (-.f64 (.f64 1/2 (cos.f64 M)) (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (cos.f64 M) 17)) 1/9))))))) (pow.f64 1 1/3)))))) (pow.f64 l 3)) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 (cos.f64 M)) 1/3) (+.f64 (.f64 1/9 (pow.f64 (.f64 1 (pow.f64 (cos.f64 M) 14)) 1/9)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (cos.f64 M)) 1/3) (-.f64 (.f64 1/2 (cos.f64 M)) (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (cos.f64 M) 17)) 1/9))))))) (+.f64 (.f64 2/9 (pow.f64 (.f64 1 (pow.f64 (cos.f64 M) 17)) 1/9)) (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/2 (cos.f64 M)) (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (cos.f64 M) 17)) 1/9))))))) (pow.f64 l 2)) (.f64 (+.f64 (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (cos.f64 M) 13)) 1/9)) (.f64 2/3 (pow.f64 (.f64 1 (pow.f64 (cos.f64 M) 13)) 1/9))) l))))
(.f64 (.f64 (exp.f64 l) (cos.f64 M)) (pow.f64 1 1/3))
(.f64 (.f64 (exp.f64 l) (cos.f64 M)) (pow.f64 1 1/3))
(.f64 (.f64 (exp.f64 l) (cos.f64 M)) (pow.f64 1 1/3))
(.f64 (.f64 (exp.f64 l) (cos.f64 M)) (pow.f64 1 1/3))
(.f64 (.f64 (exp.f64 l) (cos.f64 M)) (pow.f64 1 1/3))
(.f64 (.f64 (exp.f64 l) (cos.f64 M)) (pow.f64 1 1/3))
(.f64 (.f64 (exp.f64 l) (cos.f64 M)) (pow.f64 1 1/3))
(.f64 (.f64 (exp.f64 l) (cos.f64 M)) (pow.f64 1 1/3))

Outputs
(pow.f64 (exp.f64 l) 1/3)
(cbrt.f64 (exp.f64 l))
(+.f64 (pow.f64 (exp.f64 l) 1/3) (.f64 -1/6 (.f64 (pow.f64 (*.f64 (exp.f64 l) 1) 1/3) (pow.f64 M 2))))
(+.f64 (cbrt.f64 (exp.f64 l)) (.f64 -1/6 (.f64 (cbrt.f64 (exp.f64 l)) (*.f64 M M))))
(fma.f64 -1/6 (.f64 (cbrt.f64 (exp.f64 l)) (.f64 M M)) (cbrt.f64 (exp.f64 l)))
(.f64 (+.f64 (.f64 -1/6 (*.f64 M M)) 1) (cbrt.f64 (exp.f64 l)))
(+.f64 (pow.f64 (exp.f64 l) 1/3) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 (exp.f64 l) 1) 1/3) (pow.f64 M 2))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 l) 2)) 1/3) (.f64 (-.f64 (.f64 1/24 (exp.f64 l)) (.f64 1/12 (exp.f64 l))) (pow.f64 M 4))))))
(+.f64 (cbrt.f64 (exp.f64 l)) (fma.f64 -1/6 (.f64 (cbrt.f64 (exp.f64 l)) (.f64 M M)) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (exp.f64 l) 2))) (.f64 (.f64 (exp.f64 l) -1/24) (pow.f64 M 4))))))
(+.f64 (fma.f64 -1/6 (.f64 (cbrt.f64 (exp.f64 l)) (.f64 M M)) (cbrt.f64 (exp.f64 l))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (exp.f64 l) 2))) (.f64 (.f64 (exp.f64 l) (.f64 -1/24 (pow.f64 M 4))) 1/3)))
(+.f64 (.f64 (+.f64 (.f64 -1/6 (.f64 M M)) 1) (cbrt.f64 (exp.f64 l))) (.f64 (cbrt.f64 (exp.f64 (-.f64 (neg.f64 l) l))) (.f64 (.f64 (exp.f64 l) (*.f64 -1/24 (pow.f64 M 4))) 1/3)))
(+.f64 (pow.f64 (exp.f64 l) 1/3) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 (exp.f64 l) 1) 1/3) (pow.f64 M 2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 l) 2)) 1/3) (.f64 (-.f64 (.f64 -1/720 (exp.f64 l)) (+.f64 (.f64 -1/3 (-.f64 (.f64 1/24 (exp.f64 l)) (.f64 1/12 (exp.f64 l)))) (.f64 -1/216 (exp.f64 l)))) (pow.f64 M 6)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 l) 2)) 1/3) (.f64 (-.f64 (.f64 1/24 (exp.f64 l)) (.f64 1/12 (exp.f64 l))) (pow.f64 M 4)))))))
(+.f64 (cbrt.f64 (exp.f64 l)) (fma.f64 -1/6 (.f64 (cbrt.f64 (exp.f64 l)) (.f64 M M)) (.f64 1/3 (+.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (exp.f64 l) 2))) (.f64 (-.f64 (.f64 (exp.f64 l) -1/720) (fma.f64 -1/3 (.f64 (exp.f64 l) -1/24) (.f64 (exp.f64 l) -1/216))) (pow.f64 M 6))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (exp.f64 l) 2))) (.f64 (*.f64 (exp.f64 l) -1/24) (pow.f64 M 4)))))))
(+.f64 (fma.f64 -1/6 (.f64 (cbrt.f64 (exp.f64 l)) (.f64 M M)) (cbrt.f64 (exp.f64 l))) (.f64 (.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (exp.f64 l) 2)))) (+.f64 (.f64 (-.f64 (.f64 (exp.f64 l) -1/720) (fma.f64 (exp.f64 l) -1/216 (.f64 (exp.f64 l) 1/72))) (pow.f64 M 6)) (.f64 (exp.f64 l) (*.f64 -1/24 (pow.f64 M 4))))))
(+.f64 (.f64 (+.f64 (.f64 -1/6 (.f64 M M)) 1) (cbrt.f64 (exp.f64 l))) (.f64 1/3 (.f64 (cbrt.f64 (exp.f64 (-.f64 (neg.f64 l) l))) (+.f64 (.f64 (exp.f64 l) (.f64 -1/24 (pow.f64 M 4))) (.f64 (+.f64 (.f64 (exp.f64 l) -11/720) (.f64 (exp.f64 l) 1/216)) (pow.f64 M 6))))))
(+.f64 (.f64 (+.f64 (.f64 -1/6 (.f64 M M)) 1) (cbrt.f64 (exp.f64 l))) (.f64 1/3 (.f64 (cbrt.f64 (exp.f64 (-.f64 (neg.f64 l) l))) (+.f64 (.f64 (exp.f64 l) (.f64 -1/24 (pow.f64 M 4))) (.f64 (fma.f64 (exp.f64 l) 7/2160 (*.f64 (exp.f64 l) -1/72)) (pow.f64 M 6))))))
(pow.f64 (*.f64 (exp.f64 l) (cos.f64 M)) 1/3)
(cbrt.f64 (*.f64 (exp.f64 l) (cos.f64 M)))
(pow.f64 (*.f64 (exp.f64 l) (cos.f64 M)) 1/3)
(cbrt.f64 (*.f64 (exp.f64 l) (cos.f64 M)))
(pow.f64 (*.f64 (exp.f64 l) (cos.f64 M)) 1/3)
(cbrt.f64 (*.f64 (exp.f64 l) (cos.f64 M)))
(pow.f64 (*.f64 (exp.f64 l) (cos.f64 M)) 1/3)
(cbrt.f64 (*.f64 (exp.f64 l) (cos.f64 M)))
(pow.f64 (*.f64 (exp.f64 l) (cos.f64 M)) 1/3)
(cbrt.f64 (*.f64 (exp.f64 l) (cos.f64 M)))
(pow.f64 (*.f64 (exp.f64 l) (cos.f64 M)) 1/3)
(cbrt.f64 (*.f64 (exp.f64 l) (cos.f64 M)))
(pow.f64 (*.f64 (exp.f64 l) (cos.f64 M)) 1/3)
(cbrt.f64 (*.f64 (exp.f64 l) (cos.f64 M)))
(pow.f64 (*.f64 (exp.f64 l) (cos.f64 M)) 1/3)
(cbrt.f64 (*.f64 (exp.f64 l) (cos.f64 M)))
(pow.f64 (cos.f64 M) 1/3)
(cbrt.f64 (cos.f64 M))
(+.f64 (pow.f64 (cos.f64 M) 1/3) (.f64 1/3 (.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 M) 7)) 1/9) l)))
(+.f64 (.f64 1/3 (.f64 l (*.f64 (pow.f64 (pow.f64 (cos.f64 M) 7) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 7) 1/18)))) (cbrt.f64 (cos.f64 M)))
(fma.f64 1/3 (.f64 (.f64 l (pow.f64 (pow.f64 (cos.f64 M) 7) 1/18)) (pow.f64 (pow.f64 (cos.f64 M) 7) 1/18)) (cbrt.f64 (cos.f64 M)))
(fma.f64 1/3 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 7) 1/18) (.f64 (pow.f64 (pow.f64 (cos.f64 M) 7) 1/18) l)) (cbrt.f64 (cos.f64 M)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 M) 2)) 1/3) (.f64 (pow.f64 l 2) (-.f64 (.f64 1/2 (cos.f64 M)) (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (cos.f64 M) 17)) 1/9)))))) (+.f64 (pow.f64 (cos.f64 M) 1/3) (.f64 1/3 (.f64 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 M) 7)) 1/9) l))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 M) 2))) (.f64 (.f64 l l) (-.f64 (.f64 (cos.f64 M) 1/2) (.f64 1/3 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18)))))) (+.f64 (.f64 1/3 (.f64 l (*.f64 (pow.f64 (pow.f64 (cos.f64 M) 7) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 7) 1/18)))) (cbrt.f64 (cos.f64 M))))
(fma.f64 1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 M) 2))) (fma.f64 (cos.f64 M) 1/2 (.f64 -1/3 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18))))) (.f64 l l)) (fma.f64 1/3 (.f64 (*.f64 l (pow.f64 (pow.f64 (cos.f64 M) 7) 1/18)) (pow.f64 (pow.f64 (cos.f64 M) 7) 1/18)) (cbrt.f64 (cos.f64 M))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 M) 2))) (.f64 l (.f64 l (fma.f64 (cos.f64 M) 1/2 (.f64 -1/3 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18))))))) (fma.f64 1/3 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 7) 1/18) (*.f64 (pow.f64 (pow.f64 (cos.f64 M) 7) 1/18) l)) (cbrt.f64 (cos.f64 M))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cos.f64 M) 2)) 1/3) (.f64 (pow.f64 l 2) (-.f64 (.f64 1/2 (cos.f64 M)) (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (cos.f64 M) 17)) 1/9)))))) (+.f64 (pow.f64 (cos.f64 M) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 M) 7)) 1/9) l)) (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 1/6 (cos.f64 M)) (+.f64 (.f64 1/27 (pow.f64 (.f64 1 (pow.f64 (cos.f64 M) 7)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 M) 4)) 1/9) (-.f64 (.f64 1/2 (cos.f64 M)) (.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (cos.f64 M) 17)) 1/9))))))) (pow.f64 l 3)) (pow.f64 (/.f64 1 (pow.f64 (cos.f64 M) 2)) 1/3))))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 M) 2))) (.f64 (.f64 l l) (-.f64 (.f64 (cos.f64 M) 1/2) (.f64 1/3 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18)))))) (+.f64 (.f64 1/3 (+.f64 (.f64 l (.f64 (pow.f64 (pow.f64 (cos.f64 M) 7) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 7) 1/18))) (.f64 (-.f64 (.f64 (cos.f64 M) 1/6) (fma.f64 1/27 (cbrt.f64 (pow.f64 (cos.f64 M) 7)) (.f64 2/3 (.f64 (-.f64 (.f64 (cos.f64 M) 1/2) (.f64 1/3 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18)))) (.f64 (pow.f64 (pow.f64 (cos.f64 M) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 4) 1/18)))))) (.f64 (pow.f64 l 3) (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 M) 2))))))) (cbrt.f64 (cos.f64 M))))
(fma.f64 1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 M) 2))) (fma.f64 (cos.f64 M) 1/2 (.f64 -1/3 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18))))) (.f64 l l)) (fma.f64 1/3 (fma.f64 l (.f64 (pow.f64 (pow.f64 (cos.f64 M) 7) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 7) 1/18)) (.f64 (-.f64 (.f64 (cos.f64 M) 1/6) (fma.f64 2/3 (.f64 (fma.f64 (cos.f64 M) 1/2 (.f64 -1/3 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18)))) (.f64 (pow.f64 (pow.f64 (cos.f64 M) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 4) 1/18))) (.f64 1/27 (cbrt.f64 (pow.f64 (cos.f64 M) 7))))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 M) 2))) (pow.f64 l 3)))) (cbrt.f64 (cos.f64 M))))
(+.f64 (fma.f64 1/3 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 7) 1/18) (.f64 (pow.f64 (pow.f64 (cos.f64 M) 7) 1/18) l)) (cbrt.f64 (cos.f64 M))) (.f64 (.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 M) 2)))) (+.f64 (.f64 (+.f64 (fma.f64 (cos.f64 M) 1/6 (.f64 (cbrt.f64 (pow.f64 (cos.f64 M) 7)) -1/27)) (.f64 (.f64 (.f64 (fma.f64 (cos.f64 M) 1/2 (.f64 -1/3 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18)))) (pow.f64 (pow.f64 (cos.f64 M) 4) 1/18)) (pow.f64 (pow.f64 (cos.f64 M) 4) 1/18)) -2/3)) (pow.f64 l 3)) (.f64 l (.f64 l (fma.f64 (cos.f64 M) 1/2 (.f64 -1/3 (*.f64 (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18)))))))))
(+.f64 (fma.f64 1/3 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 7) 1/18) (.f64 (pow.f64 (pow.f64 (cos.f64 M) 7) 1/18) l)) (cbrt.f64 (cos.f64 M))) (.f64 (.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cos.f64 M) 2)))) (+.f64 (.f64 (fma.f64 (cos.f64 M) 1/6 (fma.f64 (fma.f64 (cos.f64 M) 1/2 (.f64 -1/3 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18)))) (.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 4) 1/18)) -2/3) (.f64 (cbrt.f64 (pow.f64 (cos.f64 M) 7)) -1/27))) (pow.f64 l 3)) (.f64 l (.f64 l (fma.f64 (cos.f64 M) 1/2 (.f64 -1/3 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18)))))))))
(pow.f64 (*.f64 (exp.f64 l) (cos.f64 M)) 1/3)
(cbrt.f64 (*.f64 (exp.f64 l) (cos.f64 M)))
(pow.f64 (*.f64 (exp.f64 l) (cos.f64 M)) 1/3)
(cbrt.f64 (*.f64 (exp.f64 l) (cos.f64 M)))
(pow.f64 (*.f64 (exp.f64 l) (cos.f64 M)) 1/3)
(cbrt.f64 (*.f64 (exp.f64 l) (cos.f64 M)))
(pow.f64 (*.f64 (exp.f64 l) (cos.f64 M)) 1/3)
(cbrt.f64 (*.f64 (exp.f64 l) (cos.f64 M)))
(pow.f64 (*.f64 (exp.f64 l) (cos.f64 M)) 1/3)
(cbrt.f64 (*.f64 (exp.f64 l) (cos.f64 M)))
(pow.f64 (*.f64 (exp.f64 l) (cos.f64 M)) 1/3)
(cbrt.f64 (*.f64 (exp.f64 l) (cos.f64 M)))
(pow.f64 (*.f64 (exp.f64 l) (cos.f64 M)) 1/3)
(cbrt.f64 (*.f64 (exp.f64 l) (cos.f64 M)))
(pow.f64 (*.f64 (exp.f64 l) (cos.f64 M)) 1/3)
(cbrt.f64 (*.f64 (exp.f64 l) (cos.f64 M)))
(*.f64 (exp.f64 l) (pow.f64 1 1/3))
(exp.f64 l)
(+.f64 (.f64 (+.f64 (.f64 -1/6 (.f64 (exp.f64 l) (pow.f64 1 1/3))) (.f64 -1/3 (.f64 (exp.f64 l) (pow.f64 1 1/3)))) (pow.f64 M 2)) (.f64 (exp.f64 l) (pow.f64 1 1/3)))
(fma.f64 (.f64 (exp.f64 l) -1/2) (.f64 M M) (exp.f64 l))
(fma.f64 (.f64 M M) (.f64 (exp.f64 l) -1/2) (exp.f64 l))
(+.f64 (.f64 (+.f64 (.f64 -1/6 (.f64 (exp.f64 l) (pow.f64 1 1/3))) (.f64 -1/3 (.f64 (exp.f64 l) (pow.f64 1 1/3)))) (pow.f64 M 2)) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/24 (exp.f64 l)) (.f64 1/12 (exp.f64 l))))) (+.f64 (.f64 1/18 (.f64 (exp.f64 l) (pow.f64 1 1/3))) (.f64 (pow.f64 (.f64 (exp.f64 l) 1) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (exp.f64 l)) 1/3) (-.f64 (.f64 1/24 (exp.f64 l)) (.f64 1/12 (exp.f64 l))))) (.f64 1/36 (pow.f64 (.f64 (pow.f64 (exp.f64 l) 2) 1) 1/3)))))) (pow.f64 M 4)) (*.f64 (exp.f64 l) (pow.f64 1 1/3))))
(fma.f64 (.f64 (exp.f64 l) -1/2) (.f64 M M) (fma.f64 (+.f64 (.f64 1/3 (.f64 (exp.f64 l) -1/24)) (fma.f64 1/18 (exp.f64 l) (.f64 (cbrt.f64 (exp.f64 l)) (fma.f64 2/3 (.f64 (.f64 (exp.f64 l) -1/24) (cbrt.f64 (exp.f64 (neg.f64 l)))) (.f64 1/36 (cbrt.f64 (pow.f64 (exp.f64 l) 2))))))) (pow.f64 M 4) (exp.f64 l)))
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(+.f64 (cos.f64 M) (fma.f64 (fma.f64 1/3 (.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 7) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 7) 1/18)) (fma.f64 1/9 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 14) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 14) 1/18)) (.f64 2/3 (.f64 (-.f64 (.f64 (cos.f64 M) 1/2) (.f64 1/3 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18)))) (cbrt.f64 (/.f64 1 (cos.f64 M))))))) (fma.f64 (cbrt.f64 (cos.f64 M)) (fma.f64 2/3 (.f64 (-.f64 (.f64 (cos.f64 M) 1/6) (fma.f64 1/27 (cbrt.f64 (pow.f64 (cos.f64 M) 7)) (.f64 2/3 (.f64 (-.f64 (.f64 (cos.f64 M) 1/2) (.f64 1/3 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18)))) (.f64 (pow.f64 (pow.f64 (cos.f64 M) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 4) 1/18)))))) (cbrt.f64 (/.f64 1 (cos.f64 M)))) (.f64 (.f64 2/9 (.f64 (pow.f64 (cos.f64 M) 1/18) (pow.f64 (cos.f64 M) 1/18))) (-.f64 (.f64 (cos.f64 M) 1/2) (.f64 1/3 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18)))))) (fma.f64 2/9 (.f64 (-.f64 (.f64 (cos.f64 M) 1/2) (.f64 1/3 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18)))) (.f64 (pow.f64 (pow.f64 (cos.f64 M) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 4) 1/18))) (.f64 1/3 (.f64 1 (-.f64 (.f64 (cos.f64 M) 1/6) (fma.f64 1/27 (cbrt.f64 (pow.f64 (cos.f64 M) 7)) (.f64 2/3 (.f64 (-.f64 (.f64 (cos.f64 M) 1/2) (.f64 1/3 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18)))) (.f64 (pow.f64 (pow.f64 (cos.f64 M) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 4) 1/18))))))))))) (pow.f64 l 3) (fma.f64 (fma.f64 (cbrt.f64 (cos.f64 M)) (fma.f64 1/9 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 14) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 14) 1/18)) (.f64 2/3 (.f64 (-.f64 (.f64 (cos.f64 M) 1/2) (.f64 1/3 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18)))) (cbrt.f64 (/.f64 1 (cos.f64 M)))))) (fma.f64 2/9 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18)) (.f64 1/3 (-.f64 (.f64 (cos.f64 M) 1/2) (.f64 1/3 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18))))))) (.f64 l l) (.f64 l (.f64 (*.f64 (pow.f64 (pow.f64 (cos.f64 M) 13) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 13) 1/18)) 1)))))
(+.f64 (cos.f64 M) (fma.f64 (pow.f64 l 3) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 7) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 7) 1/18)) (fma.f64 1/9 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 14) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 14) 1/18)) (.f64 (fma.f64 (cos.f64 M) 1/2 (.f64 -1/3 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18)))) (.f64 2/3 (cbrt.f64 (/.f64 1 (cos.f64 M))))))) (fma.f64 (cbrt.f64 (cos.f64 M)) (fma.f64 2/3 (.f64 (-.f64 (.f64 (cos.f64 M) 1/6) (fma.f64 2/3 (.f64 (fma.f64 (cos.f64 M) 1/2 (.f64 -1/3 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18)))) (.f64 (pow.f64 (pow.f64 (cos.f64 M) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 4) 1/18))) (.f64 1/27 (cbrt.f64 (pow.f64 (cos.f64 M) 7))))) (cbrt.f64 (/.f64 1 (cos.f64 M)))) (.f64 (fma.f64 (cos.f64 M) 1/2 (.f64 -1/3 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18)))) (.f64 2/9 (.f64 (pow.f64 (cos.f64 M) 1/18) (pow.f64 (cos.f64 M) 1/18))))) (fma.f64 1/3 (-.f64 (.f64 (cos.f64 M) 1/6) (fma.f64 2/3 (.f64 (fma.f64 (cos.f64 M) 1/2 (.f64 -1/3 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18)))) (.f64 (pow.f64 (pow.f64 (cos.f64 M) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 4) 1/18))) (.f64 1/27 (cbrt.f64 (pow.f64 (cos.f64 M) 7))))) (.f64 (fma.f64 (cos.f64 M) 1/2 (.f64 -1/3 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18)))) (.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 4) 1/18)) 2/9))))) (fma.f64 (.f64 l l) (fma.f64 (cbrt.f64 (cos.f64 M)) (fma.f64 1/9 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 14) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 14) 1/18)) (.f64 (fma.f64 (cos.f64 M) 1/2 (.f64 -1/3 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18)))) (.f64 2/3 (cbrt.f64 (/.f64 1 (cos.f64 M)))))) (fma.f64 1/3 (fma.f64 (cos.f64 M) 1/2 (.f64 -1/3 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18)))) (.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18)) 2/9))) (.f64 l (.f64 (pow.f64 (pow.f64 (cos.f64 M) 13) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 13) 1/18))))))
(+.f64 (cos.f64 M) (fma.f64 (pow.f64 l 3) (+.f64 (.f64 (cbrt.f64 (cos.f64 M)) (.f64 (+.f64 (fma.f64 (cos.f64 M) 1/6 (.f64 (cbrt.f64 (pow.f64 (cos.f64 M) 7)) -1/27)) (.f64 (.f64 (.f64 (fma.f64 (cos.f64 M) 1/2 (.f64 -1/3 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18)))) (pow.f64 (pow.f64 (cos.f64 M) 4) 1/18)) (pow.f64 (pow.f64 (cos.f64 M) 4) 1/18)) -2/3)) (.f64 2/3 (cbrt.f64 (/.f64 1 (cos.f64 M)))))) (+.f64 (.f64 (fma.f64 (cos.f64 M) 1/2 (.f64 -1/3 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18)))) (+.f64 (.f64 (cbrt.f64 (cos.f64 M)) (.f64 2/9 (.f64 (pow.f64 (cos.f64 M) 1/18) (pow.f64 (cos.f64 M) 1/18)))) (.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 4) 1/18)) 2/9))) (.f64 1/3 (+.f64 (+.f64 (fma.f64 (cos.f64 M) 1/6 (.f64 (cbrt.f64 (pow.f64 (cos.f64 M) 7)) -1/27)) (.f64 (.f64 (.f64 (fma.f64 (cos.f64 M) 1/2 (.f64 -1/3 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18)))) (pow.f64 (pow.f64 (cos.f64 M) 4) 1/18)) (pow.f64 (pow.f64 (cos.f64 M) 4) 1/18)) -2/3)) (.f64 (pow.f64 (pow.f64 (cos.f64 M) 7) 1/18) (.f64 (pow.f64 (pow.f64 (cos.f64 M) 7) 1/18) (fma.f64 2/3 (.f64 (fma.f64 (cos.f64 M) 1/2 (.f64 -1/3 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18)))) (cbrt.f64 (/.f64 1 (cos.f64 M)))) (.f64 (pow.f64 (pow.f64 (cos.f64 M) 14) 1/18) (.f64 (pow.f64 (pow.f64 (cos.f64 M) 14) 1/18) 1/9))))))))) (.f64 l (+.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 13) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 13) 1/18)) (.f64 (fma.f64 (cbrt.f64 (cos.f64 M)) (fma.f64 2/3 (.f64 (fma.f64 (cos.f64 M) 1/2 (.f64 -1/3 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18)))) (cbrt.f64 (/.f64 1 (cos.f64 M)))) (.f64 (pow.f64 (pow.f64 (cos.f64 M) 14) 1/18) (.f64 (pow.f64 (pow.f64 (cos.f64 M) 14) 1/18) 1/9))) (fma.f64 1/3 (fma.f64 (cos.f64 M) 1/2 (.f64 -1/3 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18)))) (.f64 (*.f64 (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18)) 2/9))) l)))))
(+.f64 (cos.f64 M) (fma.f64 (pow.f64 l 3) (+.f64 (.f64 (cbrt.f64 (cos.f64 M)) (.f64 (fma.f64 (cos.f64 M) 1/6 (fma.f64 (fma.f64 (cos.f64 M) 1/2 (.f64 -1/3 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18)))) (.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 4) 1/18)) -2/3) (.f64 (cbrt.f64 (pow.f64 (cos.f64 M) 7)) -1/27))) (.f64 2/3 (cbrt.f64 (/.f64 1 (cos.f64 M)))))) (+.f64 (.f64 (fma.f64 (cos.f64 M) 1/2 (.f64 -1/3 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18)))) (+.f64 (.f64 (cbrt.f64 (cos.f64 M)) (.f64 2/9 (.f64 (pow.f64 (cos.f64 M) 1/18) (pow.f64 (cos.f64 M) 1/18)))) (.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 4) 1/18)) 2/9))) (.f64 1/3 (+.f64 (fma.f64 (cos.f64 M) 1/6 (fma.f64 (fma.f64 (cos.f64 M) 1/2 (.f64 -1/3 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18)))) (.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 4) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 4) 1/18)) -2/3) (.f64 (cbrt.f64 (pow.f64 (cos.f64 M) 7)) -1/27))) (.f64 (pow.f64 (pow.f64 (cos.f64 M) 7) 1/18) (.f64 (pow.f64 (pow.f64 (cos.f64 M) 7) 1/18) (fma.f64 2/3 (.f64 (fma.f64 (cos.f64 M) 1/2 (.f64 -1/3 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18)))) (cbrt.f64 (/.f64 1 (cos.f64 M)))) (.f64 (pow.f64 (pow.f64 (cos.f64 M) 14) 1/18) (.f64 (pow.f64 (pow.f64 (cos.f64 M) 14) 1/18) 1/9))))))))) (.f64 l (+.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 13) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 13) 1/18)) (.f64 (fma.f64 (cbrt.f64 (cos.f64 M)) (fma.f64 2/3 (.f64 (fma.f64 (cos.f64 M) 1/2 (.f64 -1/3 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18)))) (cbrt.f64 (/.f64 1 (cos.f64 M)))) (.f64 (pow.f64 (pow.f64 (cos.f64 M) 14) 1/18) (.f64 (pow.f64 (pow.f64 (cos.f64 M) 14) 1/18) 1/9))) (fma.f64 1/3 (fma.f64 (cos.f64 M) 1/2 (.f64 -1/3 (.f64 (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18)))) (.f64 (*.f64 (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18) (pow.f64 (pow.f64 (cos.f64 M) 17) 1/18)) 2/9))) l)))))
(.f64 (.f64 (exp.f64 l) (cos.f64 M)) (pow.f64 1 1/3))
(*.f64 (exp.f64 l) (cos.f64 M))
(.f64 (.f64 (exp.f64 l) (cos.f64 M)) (pow.f64 1 1/3))
(*.f64 (exp.f64 l) (cos.f64 M))
(.f64 (.f64 (exp.f64 l) (cos.f64 M)) (pow.f64 1 1/3))
(*.f64 (exp.f64 l) (cos.f64 M))
(.f64 (.f64 (exp.f64 l) (cos.f64 M)) (pow.f64 1 1/3))
(*.f64 (exp.f64 l) (cos.f64 M))
(.f64 (.f64 (exp.f64 l) (cos.f64 M)) (pow.f64 1 1/3))
(*.f64 (exp.f64 l) (cos.f64 M))
(.f64 (.f64 (exp.f64 l) (cos.f64 M)) (pow.f64 1 1/3))
(*.f64 (exp.f64 l) (cos.f64 M))
(.f64 (.f64 (exp.f64 l) (cos.f64 M)) (pow.f64 1 1/3))
(*.f64 (exp.f64 l) (cos.f64 M))
(.f64 (.f64 (exp.f64 l) (cos.f64 M)) (pow.f64 1 1/3))
(*.f64 (exp.f64 l) (cos.f64 M))

localize70.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 m (sin.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M)))
✓	2.0b	(.f64 (fma.f64 (.f64 -1/2 K) (.f64 m (sin.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))) (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 M M))))
✓	26.4b	(sin.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
✓	27.1b	(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))

Compiler

Compiled 136 to 68 computations (50% saved)

series31.0ms (0.2%)

Counts

4 → 168

Calls

42 calls:

Time	Variable		Point	Expression
5.0ms	K	@	0	(.f64 (fma.f64 (.f64 -1/2 K) (.f64 m (sin.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))) (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 M M))))
3.0ms	m	@	-inf	(.f64 m (sin.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M)))
1.0ms	M	@	0	(.f64 (fma.f64 (.f64 -1/2 K) (.f64 m (sin.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))) (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 M M))))
1.0ms	M	@	inf	(.f64 (fma.f64 (.f64 -1/2 K) (.f64 m (sin.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))) (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 M M))))
1.0ms	K	@	inf	(.f64 (fma.f64 (.f64 -1/2 K) (.f64 m (sin.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))) (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 M M))))

rewrite101.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

407×	`fma-neg_binary64`
394×	`expm1-udef_binary64`
394×	`log1p-udef_binary64`
247×	`add-sqr-sqrt_binary64`
241×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	88
1	465	86
2	6532	86

Stop Event

1×	node limit

Counts

4 → 90

Calls

Call 1

Inputs
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(sin.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(.f64 (fma.f64 (.f64 -1/2 K) (.f64 m (sin.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))) (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 M M))))
(.f64 m (sin.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M)))

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (-.f64 (.f64 n (.f64 K -1/2)) M)) (fma.f64 (neg.f64 (sin.f64 M)) (cos.f64 (.f64 n (.f64 K -1/2))) (.f64 (cos.f64 (.f64 n (.f64 K -1/2))) (sin.f64 M))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 M) (sin.f64 (.f64 n (.f64 K -1/2)))) (neg.f64 (.f64 (cos.f64 (.f64 n (.f64 K -1/2))) (sin.f64 M))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 M) (sin.f64 (.f64 n (.f64 K -1/2)))) (.f64 (neg.f64 (cos.f64 (.f64 n (.f64 K -1/2)))) (sin.f64 M)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 (.f64 n (.f64 K -1/2))) (cos.f64 (neg.f64 M))) (.f64 (cos.f64 (.f64 n (.f64 K -1/2))) (sin.f64 (neg.f64 M))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 M) (sin.f64 (.f64 n (.f64 K -1/2)))) (.f64 (cos.f64 (.f64 n (.f64 K -1/2))) (sin.f64 M)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (-.f64 (.f64 n (.f64 K -1/2)) M)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (-.f64 (.f64 n (.f64 K -1/2)) M)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sin.f64 (-.f64 (.f64 n (.f64 K -1/2)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sin.f64 (-.f64 (.f64 n (.f64 K -1/2)) M))) (pow.f64 (cbrt.f64 (sin.f64 (-.f64 (.f64 n (.f64 K -1/2)) M))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (sin.f64 (-.f64 (.f64 n (.f64 K -1/2)) M))) 2) (cbrt.f64 (sin.f64 (-.f64 (.f64 n (.f64 K -1/2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sin.f64 (-.f64 (.f64 n (.f64 K -1/2)) M))) (sqrt.f64 (sin.f64 (-.f64 (.f64 n (.f64 K -1/2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 (cos.f64 M) (sin.f64 (.f64 n (.f64 K -1/2)))) 3) (pow.f64 (.f64 (cos.f64 (.f64 n (.f64 K -1/2))) (sin.f64 M)) 3)) (+.f64 (.f64 (.f64 (cos.f64 M) (sin.f64 (.f64 n (.f64 K -1/2)))) (.f64 (cos.f64 M) (sin.f64 (.f64 n (.f64 K -1/2))))) (+.f64 (.f64 (.f64 (cos.f64 (.f64 n (.f64 K -1/2))) (sin.f64 M)) (.f64 (cos.f64 (.f64 n (.f64 K -1/2))) (sin.f64 M))) (.f64 (.f64 (cos.f64 M) (sin.f64 (.f64 n (.f64 K -1/2)))) (.f64 (cos.f64 (.f64 n (.f64 K -1/2))) (sin.f64 M))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 (cos.f64 M) (sin.f64 (.f64 n (.f64 K -1/2)))) (.f64 (cos.f64 M) (sin.f64 (.f64 n (.f64 K -1/2))))) (.f64 (.f64 (cos.f64 (.f64 n (.f64 K -1/2))) (sin.f64 M)) (.f64 (cos.f64 (.f64 n (.f64 K -1/2))) (sin.f64 M)))) (+.f64 (.f64 (cos.f64 M) (sin.f64 (.f64 n (.f64 K -1/2)))) (.f64 (cos.f64 (.f64 n (.f64 K -1/2))) (sin.f64 M))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (-.f64 (.f64 n (.f64 K -1/2)) M)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (-.f64 (.f64 n (.f64 K -1/2)) M)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (-.f64 (.f64 n (.f64 K -1/2)) M))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (-.f64 (.f64 n (.f64 K -1/2)) M))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (-.f64 (.f64 n (.f64 K -1/2)) M)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (-.f64 (.f64 n (.f64 K -1/2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (-.f64 (.f64 n (.f64 K -1/2)) M)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (-.f64 (.f64 n (.f64 K -1/2)) M)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (-.f64 (.f64 n (.f64 K -1/2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (-.f64 (.f64 n (.f64 K -1/2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (-.f64 (.f64 n (.f64 K -1/2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sin.f64 (-.f64 (.f64 n (.f64 K -1/2)) M))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 (cos.f64 M) (sin.f64 (.f64 n (.f64 K -1/2)))) (neg.f64 (.f64 (cos.f64 (.f64 n (.f64 K -1/2))) (sin.f64 M))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 M) (sin.f64 (.f64 n (.f64 K -1/2))) (neg.f64 (.f64 (cos.f64 (.f64 n (.f64 K -1/2))) (sin.f64 M))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 (.f64 n (.f64 K -1/2))) (cos.f64 M) (neg.f64 (.f64 (cos.f64 (.f64 n (.f64 K -1/2))) (sin.f64 M))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 M) (sin.f64 (.f64 n (.f64 K -1/2))))) (cbrt.f64 (.f64 (cos.f64 M) (sin.f64 (.f64 n (.f64 K -1/2)))))) (cbrt.f64 (.f64 (cos.f64 M) (sin.f64 (.f64 n (.f64 K -1/2))))) (neg.f64 (.f64 (cos.f64 (.f64 n (.f64 K -1/2))) (sin.f64 M))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 (cos.f64 M) (sin.f64 (.f64 n (.f64 K -1/2))))) (sqrt.f64 (.f64 (cos.f64 M) (sin.f64 (.f64 n (.f64 K -1/2))))) (neg.f64 (.f64 (cos.f64 (.f64 n (.f64 K -1/2))) (sin.f64 M))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (.f64 K -1/2) (.f64 (sin.f64 (-.f64 (.f64 n (.f64 K -1/2)) M)) m)) (exp.f64 (-.f64 (-.f64 n m) (.f64 M M)))) (.f64 (cos.f64 (-.f64 (.f64 n (.f64 K -1/2)) M)) (exp.f64 (-.f64 (-.f64 n m) (.f64 M M)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (exp.f64 (-.f64 (-.f64 n m) (.f64 M M))) (.f64 (.f64 K -1/2) (.f64 (sin.f64 (-.f64 (.f64 n (.f64 K -1/2)) M)) m))) (.f64 (exp.f64 (-.f64 (-.f64 n m) (.f64 M M))) (cos.f64 (-.f64 (.f64 n (.f64 K -1/2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 (.f64 K -1/2) (.f64 (sin.f64 (-.f64 (.f64 n (.f64 K -1/2)) M)) m) (cos.f64 (-.f64 (.f64 n (.f64 K -1/2)) M))) (exp.f64 (-.f64 (-.f64 n m) (.f64 M M)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (exp.f64 (-.f64 n m)) (fma.f64 (.f64 K -1/2) (.f64 (sin.f64 (-.f64 (.f64 n (.f64 K -1/2)) M)) m) (cos.f64 (-.f64 (.f64 n (.f64 K -1/2)) M)))) (pow.f64 (exp.f64 M) M))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 (.f64 K -1/2) (.f64 (sin.f64 (-.f64 (.f64 n (.f64 K -1/2)) M)) m) (cos.f64 (-.f64 (.f64 n (.f64 K -1/2)) M))) (exp.f64 (-.f64 n m))) (pow.f64 (exp.f64 M) M))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (fma.f64 (.f64 K -1/2) (.f64 (sin.f64 (-.f64 (.f64 n (.f64 K -1/2)) M)) m) (cos.f64 (-.f64 (.f64 n (.f64 K -1/2)) M))) (exp.f64 (-.f64 (-.f64 n m) (.f64 M M)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (fma.f64 (.f64 K -1/2) (.f64 (sin.f64 (-.f64 (.f64 n (.f64 K -1/2)) M)) m) (cos.f64 (-.f64 (.f64 n (.f64 K -1/2)) M))) (exp.f64 (-.f64 (-.f64 n m) (.f64 M M)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (fma.f64 (.f64 K -1/2) (.f64 (sin.f64 (-.f64 (.f64 n (.f64 K -1/2)) M)) m) (cos.f64 (-.f64 (.f64 n (.f64 K -1/2)) M))) (exp.f64 (-.f64 (-.f64 n m) (.f64 M M))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (fma.f64 (.f64 K -1/2) (.f64 (sin.f64 (-.f64 (.f64 n (.f64 K -1/2)) M)) m) (cos.f64 (-.f64 (.f64 n (.f64 K -1/2)) M))) (exp.f64 (-.f64 (-.f64 n m) (.f64 M M))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (fma.f64 (.f64 K -1/2) (.f64 (sin.f64 (-.f64 (.f64 n (.f64 K -1/2)) M)) m) (cos.f64 (-.f64 (.f64 n (.f64 K -1/2)) M))) (exp.f64 (-.f64 (-.f64 n m) (.f64 M M)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (exp.f64 (-.f64 (-.f64 n m) (.f64 M M)))) (fma.f64 (.f64 K -1/2) (.f64 (sin.f64 (-.f64 (.f64 n (.f64 K -1/2)) M)) m) (cos.f64 (-.f64 (.f64 n (.f64 K -1/2)) M)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 (.f64 K -1/2) (.f64 (sin.f64 (-.f64 (.f64 n (.f64 K -1/2)) M)) m) (cos.f64 (-.f64 (.f64 n (.f64 K -1/2)) M))) (exp.f64 (-.f64 (-.f64 n m) (.f64 M M)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (fma.f64 (.f64 K -1/2) (.f64 (sin.f64 (-.f64 (.f64 n (.f64 K -1/2)) M)) m) (cos.f64 (-.f64 (.f64 n (.f64 K -1/2)) M))) (exp.f64 (-.f64 (-.f64 n m) (.f64 M M)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (fma.f64 (.f64 K -1/2) (.f64 (sin.f64 (-.f64 (.f64 n (.f64 K -1/2)) M)) m) (cos.f64 (-.f64 (.f64 n (.f64 K -1/2)) M))) 3) (pow.f64 (exp.f64 (-.f64 (-.f64 n m) (.f64 M M))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (exp.f64 (-.f64 (-.f64 n m) (.f64 M M))) 3) (pow.f64 (fma.f64 (.f64 K -1/2) (.f64 (sin.f64 (-.f64 (.f64 n (.f64 K -1/2)) M)) m) (cos.f64 (-.f64 (.f64 n (.f64 K -1/2)) M))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (fma.f64 (.f64 K -1/2) (.f64 (sin.f64 (-.f64 (.f64 n (.f64 K -1/2)) M)) m) (cos.f64 (-.f64 (.f64 n (.f64 K -1/2)) M))) (exp.f64 (-.f64 (-.f64 n m) (.f64 M M))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (fma.f64 (.f64 K -1/2) (.f64 (sin.f64 (-.f64 (.f64 n (.f64 K -1/2)) M)) m) (cos.f64 (-.f64 (.f64 n (.f64 K -1/2)) M))) (exp.f64 (-.f64 (-.f64 n m) (.f64 M M))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (-.f64 (-.f64 n m) (.f64 M M)) (log.f64 (fma.f64 (.f64 K -1/2) (.f64 (sin.f64 (-.f64 (.f64 n (.f64 K -1/2)) M)) m) (cos.f64 (-.f64 (.f64 n (.f64 K -1/2)) M))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (+.f64 (-.f64 (-.f64 n m) (.f64 M M)) (log.f64 (fma.f64 (.f64 K -1/2) (.f64 (sin.f64 (-.f64 (.f64 n (.f64 K -1/2)) M)) m) (cos.f64 (-.f64 (.f64 n (.f64 K -1/2)) M))))) 1))))))
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simplify197.0ms (1%)

Algorithm

1×	egg-herbie

Rules

600×	`fma-neg_binary64`
412×	`associate-r_binary64`
408×	`associate-+l+_binary64`
357×	`associate-+r+_binary64`
337×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	281	5835
1	893	5161
2	3003	4900
3	6912	4898

Stop Event

1×	node limit

Counts

258 → 193

Calls

Call 1

Inputs
(cos.f64 (neg.f64 M))
(+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 n (*.f64 K (sin.f64 (neg.f64 M))))))
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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 (neg.f64 (+.f64 (*.f64 -1 n) m))) (pow.f64 M 2))))
(.f64 (+.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (.f64 K m)))) (exp.f64 (fabs.f64 (-.f64 n m))))
(+.f64 (.f64 (exp.f64 (fabs.f64 (-.f64 n m))) (.f64 (-.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 K m))) (.f64 -1 (sin.f64 (.f64 1/2 (.f64 n K))))) M)) (.f64 (+.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (.f64 K m)))) (exp.f64 (fabs.f64 (-.f64 n m)))))
(+.f64 (.f64 (exp.f64 (fabs.f64 (-.f64 n m))) (.f64 (-.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 K m))) (.f64 -1 (sin.f64 (.f64 1/2 (.f64 n K))))) M)) (+.f64 (.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (.f64 K m)))) (exp.f64 (fabs.f64 (-.f64 n m))))) (.f64 (exp.f64 (fabs.f64 (-.f64 n m))) (+.f64 (.f64 1/4 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (.f64 K m))) (.f64 -1/2 (cos.f64 (.f64 1/2 (.f64 n K))))))) (pow.f64 M 2)) (.f64 (+.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (*.f64 K m)))) (exp.f64 (fabs.f64 (-.f64 n m))))))
(+.f64 (.f64 (exp.f64 (fabs.f64 (-.f64 n m))) (.f64 (-.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 K m))) (.f64 -1 (sin.f64 (.f64 1/2 (.f64 n K))))) M)) (+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 -1/12 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 K m))) (.f64 1/6 (sin.f64 (.f64 1/2 (.f64 n K))))) (exp.f64 (fabs.f64 (-.f64 n m)))) (.f64 -1 (.f64 (-.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 K m))) (.f64 -1 (sin.f64 (.f64 1/2 (.f64 n K))))) (exp.f64 (fabs.f64 (-.f64 n m)))))) (pow.f64 M 3)) (+.f64 (.f64 (+.f64 (.f64 -1 (.f64 (+.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (.f64 K m)))) (exp.f64 (fabs.f64 (-.f64 n m))))) (.f64 (exp.f64 (fabs.f64 (-.f64 n m))) (+.f64 (.f64 1/4 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (.f64 K m))) (.f64 -1/2 (cos.f64 (.f64 1/2 (.f64 n K))))))) (pow.f64 M 2)) (.f64 (+.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (*.f64 K m)))) (exp.f64 (fabs.f64 (-.f64 n m)))))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n 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 (exp.f64 (-.f64 (fabs.f64 (-.f64 n 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 (exp.f64 (-.f64 (fabs.f64 (-.f64 n 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 (exp.f64 (-.f64 (fabs.f64 (-.f64 n 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 (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (.f64 -1 M))) (.f64 -1/2 (.f64 K (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 n K)) (.f64 -1 M))) m)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 M 2))))
(.f64 (+.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (.f64 -1 M))) (.f64 -1/2 (.f64 K (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 n K)) (.f64 -1 M))) m)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 M 2))))
(.f64 (+.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (.f64 -1 M))) (.f64 -1/2 (.f64 K (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 n K)) (.f64 -1 M))) m)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 M 2))))
(.f64 (+.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (.f64 -1 M))) (.f64 -1/2 (.f64 K (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 n K)) (.f64 -1 M))) m)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 M 2))))
(.f64 (sin.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M)) m)
(.f64 (sin.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M)) m)
(.f64 (sin.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M)) m)
(.f64 (sin.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M)) m)
(.f64 (sin.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M)) m)
(.f64 (sin.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M)) m)
(.f64 (sin.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M)) m)
(.f64 (sin.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M)) m)
(.f64 (sin.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M)) m)
(.f64 (sin.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M)) m)
(.f64 (sin.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M)) m)
(.f64 (sin.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M)) m)
(*.f64 (sin.f64 (neg.f64 M)) m)
(+.f64 (.f64 (sin.f64 (neg.f64 M)) m) (.f64 1/2 (.f64 n (.f64 (cos.f64 (neg.f64 M)) (*.f64 K m)))))
(+.f64 (.f64 (sin.f64 (neg.f64 M)) m) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (pow.f64 K 2) (.f64 (sin.f64 (neg.f64 M)) m)))) (.f64 1/2 (.f64 n (.f64 (cos.f64 (neg.f64 M)) (*.f64 K m))))))
(+.f64 (.f64 (sin.f64 (neg.f64 M)) m) (+.f64 (.f64 -1/48 (.f64 (pow.f64 n 3) (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 3) m)))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (pow.f64 K 2) (.f64 (sin.f64 (neg.f64 M)) m)))) (.f64 1/2 (.f64 n (.f64 (cos.f64 (neg.f64 M)) (*.f64 K m)))))))
(.f64 (sin.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M)) m)
(.f64 (sin.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M)) m)
(.f64 (sin.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M)) m)
(.f64 (sin.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M)) m)
(.f64 (sin.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M)) m)
(.f64 (sin.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M)) m)
(.f64 (sin.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M)) m)
(.f64 (sin.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M)) m)
(*.f64 (sin.f64 (neg.f64 M)) m)
(+.f64 (.f64 (sin.f64 (neg.f64 M)) m) (.f64 1/2 (.f64 n (.f64 (cos.f64 (neg.f64 M)) (*.f64 K m)))))
(+.f64 (.f64 (sin.f64 (neg.f64 M)) m) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (pow.f64 K 2) (.f64 (sin.f64 (neg.f64 M)) m)))) (.f64 1/2 (.f64 n (.f64 (cos.f64 (neg.f64 M)) (*.f64 K m))))))
(+.f64 (.f64 (sin.f64 (neg.f64 M)) m) (+.f64 (.f64 -1/48 (.f64 (pow.f64 n 3) (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 3) m)))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (pow.f64 K 2) (.f64 (sin.f64 (neg.f64 M)) m)))) (.f64 1/2 (.f64 n (.f64 (cos.f64 (neg.f64 M)) (*.f64 K m)))))))
(.f64 (sin.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M)) m)
(.f64 (sin.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M)) m)
(.f64 (sin.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M)) m)
(.f64 (sin.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M)) m)
(.f64 (sin.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M)) m)
(.f64 (sin.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M)) m)
(.f64 (sin.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M)) m)
(.f64 (sin.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M)) m)
(.f64 (sin.f64 (.f64 1/2 (*.f64 n K))) m)
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 m M))) (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) m))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 m M))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (.f64 m (pow.f64 M 2)))) (.f64 (sin.f64 (.f64 1/2 (*.f64 n K))) m)))
(+.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 m (pow.f64 M 3)))) (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 m M))) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (.f64 m (pow.f64 M 2)))) (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) m))))
(.f64 (sin.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M)) m)
(.f64 (sin.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M)) m)
(.f64 (sin.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M)) m)
(.f64 (sin.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M)) m)
(.f64 m (sin.f64 (+.f64 (.f64 1/2 (.f64 n K)) (.f64 -1 M))))
(.f64 m (sin.f64 (+.f64 (.f64 1/2 (.f64 n K)) (.f64 -1 M))))
(.f64 m (sin.f64 (+.f64 (.f64 1/2 (.f64 n K)) (.f64 -1 M))))
(.f64 m (sin.f64 (+.f64 (.f64 1/2 (.f64 n K)) (.f64 -1 M))))

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

eval510.0ms (2.5%)

Compiler: Compiled 16846 to 8658 computations (48.6% saved)

prune161.0ms (0.8%)

Pruning

32 alts after pruning (29 fresh and 3 done)

	Pruned	Kept	Total
New	532	7	539
Fresh	4	22	26
Picked	1	0	1
Done	1	3	4
Total	538	32	570

Error

1.7b

Counts

570 → 32

Alt Table

Click to see full alt table

Status	Error	Program
	52.8b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (.f64 (+.f64 1 (.f64 m (+.f64 M (.f64 m (fma.f64 M (.f64 M 1/2) -1/4))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M M l)))))
	57.6b	(.f64 (sqrt.f64 (pow.f64 (cos.f64 (+.f64 (fma.f64 (sqrt.f64 (.f64 K (+.f64 m n))) (.f64 (sqrt.f64 (.f64 K (+.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 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	52.3b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))
	36.6b	(.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M)))) 3) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	52.1b	(.f64 (cos.f64 (-.f64 (/.f64 (expm1.f64 (log1p.f64 (.f64 K (+.f64 m n)))) 2) M)) (exp.f64 (neg.f64 l)))
	47.4b	(exp.f64 l)
	60.2b	(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
	43.9b	(exp.f64 (neg.f64 l))
	52.6b	(.f64 (cos.f64 M) (.f64 (+.f64 (.f64 m (.f64 m -1/4)) 1) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l))))
	53.7b	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (.f64 (-.f64 (.f64 m m) (.f64 n n)) K) (-.f64 m n)) 2) M)) (exp.f64 (neg.f64 l)))
	47.4b	(pow.f64 (cbrt.f64 (exp.f64 l)) 3)
	56.7b	(.f64 (cos.f64 (/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 (.f64 K (+.f64 m n)) 2) 1/4) (.f64 M (fma.f64 (.f64 K (+.f64 m n)) 1/2 M))) (-.f64 (.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3) 1/8) (pow.f64 M 3))))) (exp.f64 (neg.f64 l)))
	53.9b	(.f64 (cos.f64 (expm1.f64 (log1p.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M))))) (exp.f64 (neg.f64 l)))
	27.5b	(.f64 (cos.f64 M) (exp.f64 (.f64 m (*.f64 m -1/4))))
	43.9b	(/.f64 (cos.f64 M) (exp.f64 l))
	60.2b	(*.f64 (cos.f64 M) (-.f64 1 l))
	50.9b	(*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)) (cos.f64 M))
	48.4b	(.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 K (+.f64 m n))) 3) 2) M)) (exp.f64 (neg.f64 l)))
✓	26.8b	(.f64 (cos.f64 M) (exp.f64 (.f64 n (*.f64 n -1/4))))
	47.2b	(.f64 (sqrt.f64 (pow.f64 (cos.f64 (expm1.f64 (log1p.f64 (fma.f64 (+.f64 m n) (.f64 K 1/2) M)))) 2)) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
✓	59.9b	(cos.f64 M)
	47.4b	(*.f64 (exp.f64 l) (cos.f64 M))
	46.9b	(.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (exp.f64 (neg.f64 l)))
	53.6b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (log1p.f64 (expm1.f64 (fma.f64 m (fma.f64 n -1/2 M) (fma.f64 (*.f64 m m) (fma.f64 1/2 (pow.f64 (fma.f64 n -1/2 M) 2) -1/4) 1))))))
	34.8b	(.f64 (sqrt.f64 (pow.f64 (cos.f64 (.f64 K (.f64 1/2 m))) 2)) (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	48.4b	(.f64 (cos.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) 2) (cbrt.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))) (neg.f64 M))) (exp.f64 (neg.f64 l)))
	47.4b	(-.f64 (+.f64 1 (*.f64 (cos.f64 M) (exp.f64 l))) 1)
	29.9b	(.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M))))
	54.2b	(.f64 (exp.f64 (log.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (+.f64 (.f64 (+.f64 M (.f64 -1/2 n)) m) (+.f64 (.f64 m (.f64 m (fma.f64 1/2 (pow.f64 (+.f64 M (*.f64 -1/2 n)) 2) -1/4))) 1))))
✓	25.7b	(.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 m (*.f64 m 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))))
	50.4b	(sqrt.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 (+.f64 m n) (.f64 K 1/2) (neg.f64 M))) (exp.f64 l)) 2))
	47.4b	(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (*.f64 (cos.f64 M) (exp.f64 l)))) 1) 3)

Compiler

Compiled 741 to 537 computations (27.5% saved)

regimes480.0ms (2.4%)

Counts

64 → 1

Calls

Call 1

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

Outputs
(*.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))))))

Calls

6 calls:

110.0ms	l
103.0ms	M
57.0ms	n
32.0ms	K
31.0ms	m

Results

Error	Segments	Branch
2.1b	1	`K`
2.1b	1	`m`
2.1b	1	`n`
2.1b	1	`M`
2.1b	1	`l`
2.1b	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 1581 to 720 computations (54.5% saved)

regimes800.0ms (4%)

Counts

31 → 4

Calls

Call 1

Inputs
(exp.f64 l)
(cos.f64 M)
(exp.f64 (neg.f64 l))
(*.f64 (cos.f64 M) (-.f64 1 l))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(*.f64 (exp.f64 l) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 l))
(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M))))
(-.f64 (+.f64 1 (*.f64 (cos.f64 M) (exp.f64 l))) 1)
(-.f64 (+.f64 1 (*.f64 (cos.f64 M) (exp.f64 l))) 1)
(.f64 (cos.f64 M) (exp.f64 (.f64 n (*.f64 n -1/4))))
(.f64 (cos.f64 M) (exp.f64 (.f64 m (*.f64 m -1/4))))
(.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (.f64 (-.f64 (.f64 m m) (.f64 n n)) K) (-.f64 m n)) 2) M)) (exp.f64 (neg.f64 l)))
(pow.f64 (cbrt.f64 (exp.f64 l)) 3)
(*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)) (cos.f64 M))
(.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 m (*.f64 m 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 M) (.f64 (+.f64 (.f64 m (.f64 m -1/4)) 1) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (.f64 n (.f64 n 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (.f64 m (.f64 m 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.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)))) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (.f64 (-.f64 (.f64 m m) (.f64 n n)) K) (-.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 M) (exp.f64 l))) 3)
(pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (*.f64 (cos.f64 M) (exp.f64 l)))) 1) 3)
(.f64 (cos.f64 (-.f64 (/.f64 (expm1.f64 (log1p.f64 (.f64 K (+.f64 m n)))) 2) M)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 K (+.f64 m n))) 3) 2) M)) (exp.f64 (neg.f64 l)))

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

Calls

5 calls:

260.0ms	K
193.0ms	l
138.0ms	M
104.0ms	n
92.0ms	m

Results

Error	Segments	Branch
15.9b	10	`K`
7.8b	3	`m`
6.8b	4	`n`
8.6b	7	`M`
10.1b	7	`l`

Compiler

Compiled 431 to 197 computations (54.3% saved)

bsearch217.0ms (1.1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
100.0ms	5.8577230492175705	2097.8889757177767
55.0ms	6.595095611191888e-144	8.504650836698456e-139
62.0ms	1.95848390267705e-210	1.7043225475301336e-206

Compiler

Compiled 42 to 30 computations (28.6% saved)

regimes336.0ms (1.7%)

Counts

19 → 3

Calls

Call 1

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

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

Calls

5 calls:

87.0ms	K
82.0ms	M
73.0ms	l
45.0ms	m
43.0ms	n

Results

Error	Segments	Branch
19.1b	8	`K`
7.8b	3	`m`
8.4b	5	`n`
10.8b	5	`M`
10.1b	7	`l`

Compiler

Compiled 194 to 107 computations (44.8% saved)

bsearch105.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
50.0ms	2.4846410872070516e-259	4.827285849850494e-257
54.0ms	-5.0091903234013415	-0.08784190586909432

Compiler

Compiled 42 to 30 computations (28.6% saved)

regimes313.0ms (1.6%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

5 calls:

106.0ms	K
67.0ms	l
55.0ms	n
51.0ms	M
28.0ms	m

Results

Error	Segments	Branch
21.4b	5	`K`
9.1b	3	`m`
10.5b	3	`n`
10.8b	5	`M`
10.1b	7	`l`

Compiler

Compiled 179 to 100 computations (44.1% saved)

bsearch147.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
49.0ms	2.4846410872070516e-259	4.827285849850494e-257
97.0ms	-5.0091903234013415	-0.08784190586909432

Compiler

Compiled 42 to 30 computations (28.6% saved)

regimes497.0ms (2.5%)

Counts

12 → 7

Calls

Call 1

Inputs
(exp.f64 l)
(cos.f64 M)
(exp.f64 (neg.f64 l))
(*.f64 (cos.f64 M) (-.f64 1 l))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(*.f64 (exp.f64 l) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 l))
(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M))))
(-.f64 (+.f64 1 (*.f64 (cos.f64 M) (exp.f64 l))) 1)
(-.f64 (+.f64 1 (*.f64 (cos.f64 M) (exp.f64 l))) 1)
(.f64 (cos.f64 M) (exp.f64 (.f64 n (*.f64 n -1/4))))

Outputs
(-.f64 (+.f64 1 (*.f64 (cos.f64 M) (exp.f64 l))) 1)
(.f64 (cos.f64 M) (exp.f64 (.f64 n (*.f64 n -1/4))))
(.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M))))
(.f64 (cos.f64 M) (exp.f64 (.f64 n (*.f64 n -1/4))))
(.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M))))
(.f64 (cos.f64 M) (exp.f64 (.f64 n (*.f64 n -1/4))))
(exp.f64 (neg.f64 l))

Calls

5 calls:

175.0ms	m
116.0ms	K
101.0ms	n
79.0ms	l
21.0ms	M

Results

Error	Segments	Branch
22.2b	6	`K`
22.4b	5	`m`
13.0b	5	`n`
14.2b	3	`M`
10.1b	7	`l`

Compiler

Compiled 109 to 64 computations (41.3% saved)

bsearch552.0ms (2.8%)

Algorithm

6×	binary-search

Steps

Time	Left	Right
52.0ms	13.412240950525458	16090764.369745646
80.0ms	7.10237172149721e-41	4.639008053835757e-36
53.0ms	6.367694350907939e-67	2.9198251681219854e-64
167.0ms	-3.850540481243575e-256	-1.380069122295026e-258
79.0ms	-5.1447134511008836e-172	-4.2398639221238015e-178
120.0ms	-92.20014907009462	-11.82024580094275

Compiler

Compiled 42 to 30 computations (28.6% saved)

regimes283.0ms (1.4%)

Counts

11 → 3

Calls

Call 1

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

Outputs
(-.f64 (+.f64 1 (*.f64 (cos.f64 M) (exp.f64 l))) 1)
(.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M))))
(exp.f64 (neg.f64 l))

Calls

5 calls:

112.0ms	K
111.0ms	M
27.0ms	l
22.0ms	n
6.0ms	m

Results

Error	Segments	Branch
27.5b	5	`K`
29.9b	1	`m`
28.7b	3	`n`
20.1b	5	`M`
15.6b	3	`l`

Compiler

Compiled 100 to 59 computations (41% saved)

bsearch357.0ms (1.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
159.0ms	13.412240950525458	16090764.369745646
198.0ms	-92.20014907009462	-11.82024580094275

Compiler

Compiled 42 to 30 computations (28.6% saved)

regimes237.0ms (1.2%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

5 calls:

81.0ms	M
57.0ms	n
31.0ms	K
26.0ms	l
11.0ms	m

Results

Error	Segments	Branch
27.5b	5	`K`
29.9b	1	`m`
28.7b	3	`n`
20.1b	5	`M`
15.6b	3	`l`

Compiler

Compiled 82 to 50 computations (39% saved)

bsearch104.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
54.0ms	13.412240950525458	16090764.369745646
50.0ms	-92.20014907009462	-11.82024580094275

Compiler

Compiled 42 to 30 computations (28.6% saved)

regimes297.0ms (1.5%)

Counts

8 → 2

Calls

Call 1

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

Outputs
(*.f64 (exp.f64 l) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 l))

Calls

5 calls:

119.0ms	M
75.0ms	n
55.0ms	m
32.0ms	K
13.0ms	l

Results

Error	Segments	Branch
39.4b	6	`K`
41.7b	4	`m`
39.7b	6	`n`
39.4b	7	`M`
30.4b	2	`l`

Compiler

Compiled 74 to 46 computations (37.8% saved)

bsearch62.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
61.0ms	-3.0472357634916393e-159	-1.5301136116506016e-162

Compiler

Compiled 42 to 30 computations (28.6% saved)

regimes352.0ms (1.8%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

5 calls:

111.0ms	M
93.0ms	K
68.0ms	n
50.0ms	m
26.0ms	l

Results

Error	Segments	Branch
39.4b	6	`K`
41.7b	4	`m`
39.7b	6	`n`
39.4b	7	`M`
30.4b	2	`l`

Compiler

Compiled 63 to 44 computations (30.2% saved)

bsearch92.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
92.0ms	0.015815104066406828	0.029995071366466446

Compiler

Compiled 42 to 30 computations (28.6% saved)

regimes323.0ms (1.6%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

5 calls:

110.0ms	n
63.0ms	l
62.0ms	M
52.0ms	m
32.0ms	K

Results

Error	Segments	Branch
40.9b	4	`K`
41.7b	4	`m`
39.7b	6	`n`
39.4b	7	`M`
30.4b	2	`l`

Compiler

Compiled 58 to 43 computations (25.9% saved)

bsearch130.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
129.0ms	-2.18396141818803e-179	-1.3587538277220782e-182

Compiler

Compiled 42 to 30 computations (28.6% saved)

regimes154.0ms (0.8%)

Accuracy

Total -13.1b remaining (-27.6%)

Threshold costs -13.1b (-27.6%)

Counts

2 → 1

Calls

Call 1

Inputs
(exp.f64 l)
(cos.f64 M)

Outputs
(exp.f64 l)

Calls

5 calls:

120.0ms	n
10.0ms	K
7.0ms	l
7.0ms	m
7.0ms	M

Results

Error	Segments	Branch
47.4b	1	`K`
47.4b	1	`m`
47.4b	1	`n`
47.4b	1	`M`
47.4b	1	`l`

Compiler

Compiled 39 to 32 computations (17.9% saved)

simplify57.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

26×	`+-commutative_binary64`
26×	`*-commutative_binary64`
22×	`sub-neg_binary64`
14×	`neg-sub0_binary64`
14×	`neg-mul-1_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	100	518
1	147	514
2	190	514
3	228	508
4	251	508
5	259	508

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.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))))))
(if (<=.f64 n 5799449333926813/2961193260766427870080908753323559866441509279473679754522422863056280045864824078237301652581494289303756200212728639995902214134435299666298460531313288000496778442422580538845568248046109094286466596972878396512780851085312) (.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 m (.f64 m 1/4))) (-.f64 l (fabs.f64 (-.f64 m n)))))) (if (<=.f64 n 5795071605766109/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456) (.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n)))))) (if (<=.f64 n 3297604917711977/562949953421312) (.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 m (.f64 m 1/4))) (-.f64 l (fabs.f64 (-.f64 m n)))))) (.f64 (cos.f64 M) (exp.f64 (.f64 n (*.f64 n -1/4)))))))
(if (<=.f64 m -352490432404659/70368744177664) (.f64 (cos.f64 M) (exp.f64 (.f64 m (.f64 m -1/4)))) (if (<=.f64 m 8602401493525849/34622310392506957584946940144288832324819178359103260074178033026772100877957520390515409281853501465865381150278099185099233529659567999369251322492547208112268029722558797196081988742442283240850996127872528443254245182193766350116513179157596502523218400437714157458948096) (.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n)))))) (.f64 (cos.f64 M) (exp.f64 (.f64 n (.f64 n -1/4))))))
(if (<=.f64 m -352490432404659/70368744177664) (.f64 (cos.f64 M) (exp.f64 (.f64 m (.f64 m -1/4)))) (if (<=.f64 m 8602401493525849/34622310392506957584946940144288832324819178359103260074178033026772100877957520390515409281853501465865381150278099185099233529659567999369251322492547208112268029722558797196081988742442283240850996127872528443254245182193766350116513179157596502523218400437714157458948096) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))) (.f64 (cos.f64 M) (exp.f64 (.f64 n (.f64 n -1/4))))))
(if (<=.f64 l -3244004351527987/35184372088832) (-.f64 (+.f64 1 (.f64 (cos.f64 M) (exp.f64 l))) 1) (if (<=.f64 l -8954028936511967/17404329748619824289860426352311291980336107281679382059399385520550823849520406290076876874227033232798165548605325345270876711736203910820971150664223534348495463082734165001231667298304) (.f64 (cos.f64 M) (exp.f64 (.f64 n (.f64 n -1/4)))) (if (<=.f64 l -3254751165051957/8452712498170643941637436558664265704301557216577944354047371344426782440907597751590676094202515006314790319892114058862117560952042968596008623655407033230534186943984081346699704282822823056848387726531379014466368452684024987821414350380272583623832617294363807973376) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))) (if (<=.f64 l 2416078463029367/3794275180128377091639574036764685364535950857523710002444946112771297432041422848) (.f64 (cos.f64 M) (exp.f64 (.f64 n (.f64 n -1/4)))) (if (<=.f64 l 6965985915370535/98079714615416886934934209737619787751599303819750539264) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))) (if (<=.f64 l 943802552296715/70368744177664) (.f64 (cos.f64 M) (exp.f64 (.f64 n (.f64 n -1/4)))) (exp.f64 (neg.f64 l))))))))
(if (<=.f64 l -3244004351527987/35184372088832) (-.f64 (+.f64 1 (.f64 (cos.f64 M) (exp.f64 l))) 1) (if (<=.f64 l 943802552296715/70368744177664) (.f64 (cos.f64 M) (exp.f64 (*.f64 M (neg.f64 M)))) (exp.f64 (neg.f64 l))))
(if (<=.f64 l -3244004351527987/35184372088832) (exp.f64 l) (if (<=.f64 l 943802552296715/70368744177664) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))) (exp.f64 (neg.f64 l))))
(if (<=.f64 l -6029392358140715/1978643211784836272484020168157177520281050792809694719312504448743177800852254937362531208489944359916781371408129114714810920274454009679740369240815145343332854177189593088) (*.f64 (exp.f64 l) (cos.f64 M)) (/.f64 (cos.f64 M) (exp.f64 l)))
(if (<=.f64 l 2279196696969453/144115188075855872) (*.f64 (exp.f64 l) (cos.f64 M)) (exp.f64 (neg.f64 l)))
(if (<=.f64 l -3188542170131469/145998099763910246996517491382409322396583312231953917778534160572776805350677676368189209962155884792916553906355021033942038551084014015944085162231110854024063829579528478402651974151891320832) (exp.f64 l) (exp.f64 (neg.f64 l)))
(exp.f64 l)

Outputs
(*.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 (cos.f64 M) (exp.f64 (neg.f64 (+.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 (+.f64 (fabs.f64 (-.f64 m n)) (neg.f64 l)) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(if (<=.f64 n 5799449333926813/2961193260766427870080908753323559866441509279473679754522422863056280045864824078237301652581494289303756200212728639995902214134435299666298460531313288000496778442422580538845568248046109094286466596972878396512780851085312) (.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 m (.f64 m 1/4))) (-.f64 l (fabs.f64 (-.f64 m n)))))) (if (<=.f64 n 5795071605766109/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456) (.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n)))))) (if (<=.f64 n 3297604917711977/562949953421312) (.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 m (.f64 m 1/4))) (-.f64 l (fabs.f64 (-.f64 m n)))))) (.f64 (cos.f64 M) (exp.f64 (.f64 n (*.f64 n -1/4)))))))
(if (<=.f64 n 5799449333926813/2961193260766427870080908753323559866441509279473679754522422863056280045864824078237301652581494289303756200212728639995902214134435299666298460531313288000496778442422580538845568248046109094286466596972878396512780851085312) (.f64 (cos.f64 M) (exp.f64 (-.f64 (.f64 m (neg.f64 (.f64 m 1/4))) (-.f64 l (fabs.f64 (-.f64 m n)))))) (if (<=.f64 n 5795071605766109/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456) (.f64 (cos.f64 M) (exp.f64 (-.f64 (.f64 M (neg.f64 M)) (-.f64 l (fabs.f64 (-.f64 m n)))))) (if (<=.f64 n 3297604917711977/562949953421312) (.f64 (cos.f64 M) (exp.f64 (-.f64 (.f64 m (neg.f64 (.f64 m 1/4))) (-.f64 l (fabs.f64 (-.f64 m n)))))) (.f64 (cos.f64 M) (exp.f64 (.f64 n (*.f64 n -1/4)))))))
(if (<=.f64 n 5799449333926813/2961193260766427870080908753323559866441509279473679754522422863056280045864824078237301652581494289303756200212728639995902214134435299666298460531313288000496778442422580538845568248046109094286466596972878396512780851085312) (.f64 (cos.f64 M) (exp.f64 (-.f64 (.f64 m (.f64 m -1/4)) (-.f64 l (fabs.f64 (-.f64 m n)))))) (if (<=.f64 n 5795071605766109/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456) (.f64 (cos.f64 M) (exp.f64 (-.f64 (.f64 M (neg.f64 M)) (-.f64 l (fabs.f64 (-.f64 m n)))))) (if (<=.f64 n 3297604917711977/562949953421312) (.f64 (cos.f64 M) (exp.f64 (-.f64 (.f64 m (.f64 m -1/4)) (-.f64 l (fabs.f64 (-.f64 m n)))))) (.f64 (cos.f64 M) (exp.f64 (.f64 n (*.f64 n -1/4)))))))
(if (<=.f64 n 5799449333926813/2961193260766427870080908753323559866441509279473679754522422863056280045864824078237301652581494289303756200212728639995902214134435299666298460531313288000496778442422580538845568248046109094286466596972878396512780851085312) (.f64 (cos.f64 M) (exp.f64 (+.f64 (.f64 m (.f64 m -1/4)) (-.f64 (fabs.f64 (-.f64 m n)) l)))) (if (<=.f64 n 5795071605766109/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456) (.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M)))) (if (<=.f64 n 3297604917711977/562949953421312) (.f64 (cos.f64 M) (exp.f64 (+.f64 (.f64 m (.f64 m -1/4)) (-.f64 (fabs.f64 (-.f64 m n)) l)))) (.f64 (cos.f64 M) (exp.f64 (.f64 n (*.f64 n -1/4)))))))
(if (<=.f64 m -352490432404659/70368744177664) (.f64 (cos.f64 M) (exp.f64 (.f64 m (.f64 m -1/4)))) (if (<=.f64 m 8602401493525849/34622310392506957584946940144288832324819178359103260074178033026772100877957520390515409281853501465865381150278099185099233529659567999369251322492547208112268029722558797196081988742442283240850996127872528443254245182193766350116513179157596502523218400437714157458948096) (.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n)))))) (.f64 (cos.f64 M) (exp.f64 (.f64 n (.f64 n -1/4))))))
(if (<=.f64 m -352490432404659/70368744177664) (.f64 (cos.f64 M) (exp.f64 (.f64 m (.f64 m -1/4)))) (if (<=.f64 m 8602401493525849/34622310392506957584946940144288832324819178359103260074178033026772100877957520390515409281853501465865381150278099185099233529659567999369251322492547208112268029722558797196081988742442283240850996127872528443254245182193766350116513179157596502523218400437714157458948096) (.f64 (cos.f64 M) (exp.f64 (-.f64 (.f64 M (neg.f64 M)) (-.f64 l (fabs.f64 (-.f64 m n)))))) (.f64 (cos.f64 M) (exp.f64 (.f64 n (.f64 n -1/4))))))
(if (<=.f64 m -352490432404659/70368744177664) (.f64 (cos.f64 M) (exp.f64 (.f64 m (.f64 m -1/4)))) (if (<=.f64 m 8602401493525849/34622310392506957584946940144288832324819178359103260074178033026772100877957520390515409281853501465865381150278099185099233529659567999369251322492547208112268029722558797196081988742442283240850996127872528443254245182193766350116513179157596502523218400437714157458948096) (.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M)))) (.f64 (cos.f64 M) (exp.f64 (.f64 n (.f64 n -1/4))))))
(if (<=.f64 m -352490432404659/70368744177664) (.f64 (cos.f64 M) (exp.f64 (.f64 m (.f64 m -1/4)))) (if (<=.f64 m 8602401493525849/34622310392506957584946940144288832324819178359103260074178033026772100877957520390515409281853501465865381150278099185099233529659567999369251322492547208112268029722558797196081988742442283240850996127872528443254245182193766350116513179157596502523218400437714157458948096) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))) (.f64 (cos.f64 M) (exp.f64 (.f64 n (.f64 n -1/4))))))
(if (<=.f64 l -3244004351527987/35184372088832) (-.f64 (+.f64 1 (.f64 (cos.f64 M) (exp.f64 l))) 1) (if (<=.f64 l -8954028936511967/17404329748619824289860426352311291980336107281679382059399385520550823849520406290076876874227033232798165548605325345270876711736203910820971150664223534348495463082734165001231667298304) (.f64 (cos.f64 M) (exp.f64 (.f64 n (.f64 n -1/4)))) (if (<=.f64 l -3254751165051957/8452712498170643941637436558664265704301557216577944354047371344426782440907597751590676094202515006314790319892114058862117560952042968596008623655407033230534186943984081346699704282822823056848387726531379014466368452684024987821414350380272583623832617294363807973376) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))) (if (<=.f64 l 2416078463029367/3794275180128377091639574036764685364535950857523710002444946112771297432041422848) (.f64 (cos.f64 M) (exp.f64 (.f64 n (.f64 n -1/4)))) (if (<=.f64 l 6965985915370535/98079714615416886934934209737619787751599303819750539264) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))) (if (<=.f64 l 943802552296715/70368744177664) (.f64 (cos.f64 M) (exp.f64 (.f64 n (.f64 n -1/4)))) (exp.f64 (neg.f64 l))))))))
(if (<=.f64 l -3244004351527987/35184372088832) (+.f64 (+.f64 1 (.f64 (cos.f64 M) (exp.f64 l))) -1) (if (<=.f64 l -8954028936511967/17404329748619824289860426352311291980336107281679382059399385520550823849520406290076876874227033232798165548605325345270876711736203910820971150664223534348495463082734165001231667298304) (.f64 (cos.f64 M) (exp.f64 (.f64 n (.f64 n -1/4)))) (if (<=.f64 l -3254751165051957/8452712498170643941637436558664265704301557216577944354047371344426782440907597751590676094202515006314790319892114058862117560952042968596008623655407033230534186943984081346699704282822823056848387726531379014466368452684024987821414350380272583623832617294363807973376) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))) (if (<=.f64 l 2416078463029367/3794275180128377091639574036764685364535950857523710002444946112771297432041422848) (.f64 (cos.f64 M) (exp.f64 (.f64 n (.f64 n -1/4)))) (if (<=.f64 l 6965985915370535/98079714615416886934934209737619787751599303819750539264) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))) (if (<=.f64 l 943802552296715/70368744177664) (.f64 (cos.f64 M) (exp.f64 (.f64 n (.f64 n -1/4)))) (exp.f64 (neg.f64 l))))))))
(if (<=.f64 l -3244004351527987/35184372088832) (-.f64 (+.f64 1 (.f64 (cos.f64 M) (exp.f64 l))) 1) (if (<=.f64 l 943802552296715/70368744177664) (.f64 (cos.f64 M) (exp.f64 (*.f64 M (neg.f64 M)))) (exp.f64 (neg.f64 l))))
(if (<=.f64 l -3244004351527987/35184372088832) (+.f64 (+.f64 1 (.f64 (cos.f64 M) (exp.f64 l))) -1) (if (<=.f64 l 943802552296715/70368744177664) (.f64 (cos.f64 M) (exp.f64 (*.f64 M (neg.f64 M)))) (exp.f64 (neg.f64 l))))
(if (<=.f64 l -3244004351527987/35184372088832) (exp.f64 l) (if (<=.f64 l 943802552296715/70368744177664) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))) (exp.f64 (neg.f64 l))))
(if (<=.f64 l -6029392358140715/1978643211784836272484020168157177520281050792809694719312504448743177800852254937362531208489944359916781371408129114714810920274454009679740369240815145343332854177189593088) (*.f64 (exp.f64 l) (cos.f64 M)) (/.f64 (cos.f64 M) (exp.f64 l)))
(if (<=.f64 l -6029392358140715/1978643211784836272484020168157177520281050792809694719312504448743177800852254937362531208489944359916781371408129114714810920274454009679740369240815145343332854177189593088) (*.f64 (cos.f64 M) (exp.f64 l)) (/.f64 (cos.f64 M) (exp.f64 l)))
(if (<=.f64 l 2279196696969453/144115188075855872) (*.f64 (exp.f64 l) (cos.f64 M)) (exp.f64 (neg.f64 l)))
(if (<=.f64 l 2279196696969453/144115188075855872) (*.f64 (cos.f64 M) (exp.f64 l)) (exp.f64 (neg.f64 l)))
(if (<=.f64 l -3188542170131469/145998099763910246996517491382409322396583312231953917778534160572776805350677676368189209962155884792916553906355021033942038551084014015944085162231110854024063829579528478402651974151891320832) (exp.f64 l) (exp.f64 (neg.f64 l)))
(exp.f64 l)

Compiler

Compiled 381 to 248 computations (34.9% saved)

soundness90.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

496×	`distribute-rgt-in_binary64`
487×	`distribute-lft-in_binary64`
449×	`fma-neg_binary64`
308×	`associate-+l+_binary64`
243×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	250	4558
1	784	4289
2	2519	3992
3	7567	3992

Stop Event

1×	node limit

Compiler

Compiled 15 to 13 computations (13.3% saved)

end229.0ms (1.1%)

Remove: (sort m n)
Compiler: Compiled 381 to 187 computations (50.9% saved)