Details

analyze1.5s (8.2%)

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)

sample3.7s (21.1%)

Results

3.2s	8108×	body	256	valid
177.0ms	349×	body	256	infinite
104.0ms	103×	body	1024	infinite
84.0ms	78×	body	1024	valid
53.0ms	76×	body	512	infinite
50.0ms	70×	body	512	valid
28.0ms	20×	body	2048	infinite

Bogosity

preprocess171.0ms (1%)

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)

simplify50.0ms (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

12.6b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	12.6b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))

Compiler

Compiled 34 to 23 computations (32.4% saved)

localize49.0ms (0.3%)

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	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
✓	33.0b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

Compiler

Compiled 153 to 64 computations (58.2% saved)

series25.0ms (0.1%)

Counts

4 → 168

Calls

42 calls:

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

rewrite106.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

634×	`fma-def_binary64`
331×	`fma-neg_binary64`
309×	`expm1-udef_binary64`
309×	`log1p-udef_binary64`
247×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	48
1	336	48
2	4968	48

Stop Event

1×	node limit

Counts

4 → 233

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

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

simplify94.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

712×	`fma-def_binary64`
643×	`distribute-rgt-neg-out_binary64`
575×	`distribute-lft-neg-out_binary64`
386×	`*-commutative_binary64`
343×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	139	2669
1	417	2628
2	1279	2506
3	4088	2506

Stop Event

1×	node limit

Counts

401 → 320

Calls

Call 1

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

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

eval403.0ms (2.3%)

Compiler: Compiled 12435 to 5927 computations (52.3% saved)

prune123.0ms (0.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	313	7	320
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	314	7	321

Error

0.9b

Counts

321 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.0b	(*.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))))))
▶	31.9b	(.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))))))
	12.5b	(.f64 (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (+.f64 m n) (.f64 K 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))))))
▶	8.0b	(.f64 (cos.f64 (.f64 K (*.f64 m 1/2))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	34.5b	(.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))))))
	34.9b	(.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 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	35.5b	(.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))))))

Compiler

Compiled 446 to 310 computations (30.5% saved)

localize98.0ms (0.6%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)

Compiler

Compiled 115 to 51 computations (55.7% saved)

localize191.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.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))))))
	0.0b	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)
✓	0.0b	(-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))
	33.0b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

Compiler

Compiled 111 to 29 computations (73.9% saved)

series33.0ms (0.2%)

Counts

2 → 108

Calls

27 calls:

Time	Variable		Point	Expression
3.0ms	M	@	-inf	(.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))))))
2.0ms	n	@	-inf	(.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))))))
2.0ms	m	@	0	(.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))))))
2.0ms	K	@	0	(.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))))))
2.0ms	n	@	0	(.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))))))

rewrite84.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

407×	`log1p-udef_binary64`
255×	`add-sqr-sqrt_binary64`
248×	`*-un-lft-identity_binary64`
248×	`pow1_binary64`
238×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	53
1	473	45
2	7384	45

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

Inputs
(-.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 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))

Outputs
((#(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)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 l (-.f64 m n)))) (sqrt.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 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (-.f64 m n) (-.f64 (.f64 M M) l)))) 2)) (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 (.f64 M M) l) 1) (-.f64 m n))))) (#(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 (sqrt.f64 (+.f64 (-.f64 m n) (-.f64 (.f64 M M) l))) (sqrt.f64 (+.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 (-.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 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Outputs

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

simplify148.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

596×	`associate-*r/_binary64`
444×	`associate-*l/_binary64`
243×	`unsub-neg_binary64`
239×	`fma-neg_binary64`
224×	`neg-sub0_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	178	3752
1	555	3525
2	1847	3202
3	6187	3190

Stop Event

1×	node limit

Counts

176 → 128

Calls

Call 1

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

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

localize171.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 K (+.f64 m n))
✓	0.0b	(.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))))))
	0.0b	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)
	33.0b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

Compiler

Compiled 125 to 52 computations (58.4% saved)

series24.0ms (0.1%)

Counts

1 → 60

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	l	@	0	(.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))))))
2.0ms	m	@	0	(.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))))))
2.0ms	K	@	0	(.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))))))
2.0ms	n	@	0	(.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))))))
2.0ms	K	@	inf	(.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))))))

rewrite100.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

448×	`log1p-udef_binary64`
274×	`add-sqr-sqrt_binary64`
267×	`*-un-lft-identity_binary64`
267×	`pow1_binary64`
258×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	39
1	518	35
2	7880	35

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

Inputs
(.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))))))

Outputs

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

simplify167.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

523×	`associate-*r/_binary64`
453×	`associate-*l/_binary64`
292×	`fma-neg_binary64`
291×	`unsub-neg_binary64`
235×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	179	3408
1	550	3267
2	1893	2871
3	6085	2863

Stop Event

1×	node limit

Counts

79 → 65

Calls

Call 1

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

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

localize77.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 K (+.f64 m n))
✓	0.0b	(-.f64 (neg.f64 (.f64 n (.f64 n 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))
	0.0b	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)
	33.0b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

Compiler

Compiled 125 to 52 computations (58.4% saved)

series30.0ms (0.2%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
24.0ms	n	@	0	(-.f64 (neg.f64 (.f64 n (.f64 n 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))
1.0ms	m	@	0	(-.f64 (neg.f64 (.f64 n (.f64 n 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))
1.0ms	n	@	inf	(-.f64 (neg.f64 (.f64 n (.f64 n 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))
1.0ms	l	@	0	(-.f64 (neg.f64 (.f64 n (.f64 n 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))
1.0ms	m	@	inf	(-.f64 (neg.f64 (.f64 n (.f64 n 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))

rewrite97.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

662×	`log-prod_binary64`
478×	`fma-neg_binary64`
233×	`pow1/3_binary64`
232×	`expm1-udef_binary64`
232×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	20
1	285	16
2	4446	16

Stop Event

1×	node limit

Counts

1 → 110

Calls

Call 1

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

Outputs

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

simplify157.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1115×	`fma-neg_binary64`
867×	`fma-def_binary64`
470×	`unswap-sqr_binary64`
338×	`associate-l_binary64`
322×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	522
1	89	522
2	165	522
3	370	522
4	898	522
5	2529	522
6	4130	522
7	5884	522
8	6444	522
9	7222	522
10	7624	522

Stop Event

1×	node limit

Counts

146 → 125

Calls

Call 1

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

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

localize119.0ms (0.7%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
✓	27.2b	(cos.f64 (.f64 K (.f64 m 1/2)))

Compiler

Compiled 133 to 64 computations (51.9% saved)

series5.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite84.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	140	9
2	1622	9

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

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

Outputs

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

simplify225.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	32	316
1	79	312
2	208	308
3	870	308
4	2189	296
5	2694	290
6	3005	272
7	3230	272
8	3474	272
9	3794	272
10	4222	272
11	4742	272
12	5377	272
13	5641	272
14	5861	272
15	6029	272
16	6169	272
17	6283	272
18	7066	272
19	7936	272

Stop Event

1×	node limit

Counts

40 → 25

Calls

Call 1

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

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

eval1.6s (9.1%)

Compiler: Compiled 40856 to 18130 computations (55.6% saved)

prune459.0ms (2.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	1170	12	1182
Fresh	2	0	2
Picked	1	0	1
Done	4	0	4
Total	1177	12	1189

Error

0.9b

Counts

1189 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	8.0b	(.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 K (*.f64 m 1/2))) 3)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	48.7b	(.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 n (.f64 n 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))))
	37.0b	(sqrt.f64 (pow.f64 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) (exp.f64 (+.f64 (-.f64 m n) (-.f64 (.f64 M M) l)))) 2))
	26.8b	(.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 m (*.f64 m 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))))
	32.7b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (*.f64 M (neg.f64 M))))
	37.1b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (+.f64 (-.f64 (*.f64 M M) l) (-.f64 m n))))
▶	48.3b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l)))
▶	28.0b	(.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	28.6b	(.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 n (*.f64 n 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))))
	30.3b	(.f64 (cos.f64 (.f64 K (.f64 m 1/2))) (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	37.8b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (.f64 n (.f64 n -1/4))))
	31.7b	(.f64 (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (+.f64 m n) (.f64 K 1/2) (neg.f64 M))) 2)) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))

Compiler

Compiled 614 to 432 computations (29.6% saved)

localize56.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
✓	0.3b	(cbrt.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3))
✓	0.3b	(pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3)
	27.2b	(cos.f64 (.f64 K (.f64 m 1/2)))

Compiler

Compiled 154 to 81 computations (47.4% saved)

series8.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite58.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

820×	`pow1_binary64`
765×	`add-log-exp_binary64`
764×	`log1p-expm1-u_binary64`
764×	`expm1-log1p-u_binary64`
747×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	208	21
2	2126	21

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

Inputs
(pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3)
(cbrt.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3))

Outputs

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

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

simplify139.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

977×	`distribute-rgt-out_binary64`
835×	`fma-def_binary64`
548×	`associate-l_binary64`
457×	`associate-r_binary64`
336×	`associate-+l+_binary64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	95	793
1	275	752
2	978	684
3	5409	684
4	5906	684
5	6014	666
6	6217	666
7	6478	630
8	6772	630

Stop Event

1×	node limit

Counts

87 → 59

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 (+.f64 (.f64 -1/4 (pow.f64 m 2)) (*.f64 -1/8 (pow.f64 m 2))) (pow.f64 K 2)))
(+.f64 1 (+.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 m 2)) (.f64 -1/8 (pow.f64 m 2))) (pow.f64 K 2)) (.f64 (pow.f64 K 4) (+.f64 (.f64 1/32 (pow.f64 m 4)) (+.f64 (.f64 1/192 (pow.f64 m 4)) (+.f64 (.f64 1/64 (pow.f64 m 4)) (.f64 1/384 (pow.f64 m 4))))))))
(+.f64 1 (+.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 m 2)) (.f64 -1/8 (pow.f64 m 2))) (pow.f64 K 2)) (+.f64 (.f64 (pow.f64 K 4) (+.f64 (.f64 1/32 (pow.f64 m 4)) (+.f64 (.f64 1/192 (pow.f64 m 4)) (+.f64 (.f64 1/64 (pow.f64 m 4)) (.f64 1/384 (pow.f64 m 4)))))) (.f64 (pow.f64 K 6) (+.f64 (.f64 -1/46080 (pow.f64 m 6)) (+.f64 (.f64 -1/23040 (pow.f64 m 6)) (+.f64 (.f64 -1/8 (.f64 (+.f64 (.f64 1/192 (pow.f64 m 4)) (.f64 1/64 (pow.f64 m 4))) (pow.f64 m 2))) (.f64 -1/768 (pow.f64 m 6)))))))))
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)
1
(+.f64 1 (.f64 (+.f64 (.f64 -1/4 (pow.f64 K 2)) (*.f64 -1/8 (pow.f64 K 2))) (pow.f64 m 2)))
(+.f64 1 (+.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 K 2)) (.f64 -1/8 (pow.f64 K 2))) (pow.f64 m 2)) (.f64 (+.f64 (.f64 1/192 (pow.f64 K 4)) (+.f64 (.f64 1/32 (pow.f64 K 4)) (+.f64 (.f64 1/64 (pow.f64 K 4)) (.f64 1/384 (pow.f64 K 4))))) (pow.f64 m 4))))
(+.f64 1 (+.f64 (.f64 (+.f64 (.f64 -1/46080 (pow.f64 K 6)) (+.f64 (.f64 -1/8 (.f64 (+.f64 (.f64 1/192 (pow.f64 K 4)) (.f64 1/64 (pow.f64 K 4))) (pow.f64 K 2))) (+.f64 (.f64 -1/768 (pow.f64 K 6)) (.f64 -1/23040 (pow.f64 K 6))))) (pow.f64 m 6)) (+.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 K 2)) (.f64 -1/8 (pow.f64 K 2))) (pow.f64 m 2)) (.f64 (+.f64 (.f64 1/192 (pow.f64 K 4)) (+.f64 (.f64 1/32 (pow.f64 K 4)) (+.f64 (.f64 1/64 (pow.f64 K 4)) (.f64 1/384 (pow.f64 K 4))))) (pow.f64 m 4)))))
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)
1
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) 1)
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4))) (.f64 -1/46080 (.f64 (pow.f64 K 6) (pow.f64 m 6))))))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
1
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) 1)
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4))) (.f64 -1/46080 (.f64 (pow.f64 K 6) (pow.f64 m 6))))))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))

Outputs
1
(+.f64 1 (.f64 (+.f64 (.f64 -1/4 (pow.f64 m 2)) (*.f64 -1/8 (pow.f64 m 2))) (pow.f64 K 2)))
(+.f64 1 (.f64 (.f64 (.f64 m m) -3/8) (.f64 K K)))
(fma.f64 (.f64 m (.f64 m -3/8)) (*.f64 K K) 1)
(fma.f64 m (.f64 m (.f64 (*.f64 K K) -3/8)) 1)
(fma.f64 (pow.f64 (*.f64 m K) 2) -3/8 1)
(+.f64 1 (+.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 m 2)) (.f64 -1/8 (pow.f64 m 2))) (pow.f64 K 2)) (.f64 (pow.f64 K 4) (+.f64 (.f64 1/32 (pow.f64 m 4)) (+.f64 (.f64 1/192 (pow.f64 m 4)) (+.f64 (.f64 1/64 (pow.f64 m 4)) (.f64 1/384 (pow.f64 m 4))))))))
(+.f64 1 (fma.f64 (.f64 (.f64 m m) -3/8) (.f64 K K) (.f64 (pow.f64 K 4) (fma.f64 1/32 (pow.f64 m 4) (fma.f64 1/192 (pow.f64 m 4) (*.f64 (pow.f64 m 4) 7/384))))))
(+.f64 1 (fma.f64 (.f64 m (.f64 m -3/8)) (.f64 K K) (.f64 (pow.f64 K 4) (fma.f64 1/32 (pow.f64 m 4) (*.f64 (pow.f64 m 4) 3/128)))))
(fma.f64 m (.f64 m (.f64 (.f64 K K) -3/8)) (fma.f64 (pow.f64 K 4) (.f64 (pow.f64 m 4) 7/128) 1))
(fma.f64 (pow.f64 (.f64 m K) 2) -3/8 (fma.f64 (pow.f64 m 4) (.f64 (pow.f64 K 4) 7/128) 1))
(+.f64 1 (+.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 m 2)) (.f64 -1/8 (pow.f64 m 2))) (pow.f64 K 2)) (+.f64 (.f64 (pow.f64 K 4) (+.f64 (.f64 1/32 (pow.f64 m 4)) (+.f64 (.f64 1/192 (pow.f64 m 4)) (+.f64 (.f64 1/64 (pow.f64 m 4)) (.f64 1/384 (pow.f64 m 4)))))) (.f64 (pow.f64 K 6) (+.f64 (.f64 -1/46080 (pow.f64 m 6)) (+.f64 (.f64 -1/23040 (pow.f64 m 6)) (+.f64 (.f64 -1/8 (.f64 (+.f64 (.f64 1/192 (pow.f64 m 4)) (.f64 1/64 (pow.f64 m 4))) (pow.f64 m 2))) (.f64 -1/768 (pow.f64 m 6)))))))))
(+.f64 1 (fma.f64 (.f64 (.f64 m m) -3/8) (.f64 K K) (fma.f64 (pow.f64 K 4) (fma.f64 1/32 (pow.f64 m 4) (fma.f64 1/192 (pow.f64 m 4) (.f64 (pow.f64 m 4) 7/384))) (.f64 (pow.f64 K 6) (fma.f64 -1/46080 (pow.f64 m 6) (fma.f64 -1/23040 (pow.f64 m 6) (fma.f64 -1/8 (.f64 (.f64 m m) (.f64 (pow.f64 m 4) 1/48)) (*.f64 (pow.f64 m 6) -1/768))))))))
(+.f64 (fma.f64 (.f64 m (.f64 m -3/8)) (.f64 K K) 1) (fma.f64 (pow.f64 K 4) (fma.f64 1/32 (pow.f64 m 4) (.f64 (pow.f64 m 4) 3/128)) (.f64 (pow.f64 K 6) (+.f64 (fma.f64 -1/8 (.f64 m (.f64 m (.f64 (pow.f64 m 4) 1/48))) (.f64 (pow.f64 m 6) -1/768)) (.f64 (pow.f64 m 6) -1/15360)))))
(+.f64 (fma.f64 (pow.f64 K 4) (.f64 (pow.f64 m 4) 7/128) 1) (fma.f64 (pow.f64 K 6) (+.f64 (.f64 (pow.f64 m 6) -1/384) (.f64 (pow.f64 m 6) -7/5120)) (.f64 m (.f64 m (.f64 (*.f64 K K) -3/8)))))
(+.f64 (fma.f64 (pow.f64 m 4) (.f64 (pow.f64 K 4) 7/128) 1) (fma.f64 (pow.f64 K 6) (+.f64 (.f64 (pow.f64 m 6) -1/384) (.f64 (pow.f64 m 6) -7/5120)) (.f64 (pow.f64 (*.f64 m K) 2) -3/8)))
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 m K))) 3)
(pow.f64 (cos.f64 (.f64 m (.f64 K 1/2))) 3)
(pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 m K))) 3)
(pow.f64 (cos.f64 (.f64 m (.f64 K 1/2))) 3)
(pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 m K))) 3)
(pow.f64 (cos.f64 (.f64 m (.f64 K 1/2))) 3)
(pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 m K))) 3)
(pow.f64 (cos.f64 (.f64 m (.f64 K 1/2))) 3)
(pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 m K))) 3)
(pow.f64 (cos.f64 (.f64 m (.f64 K 1/2))) 3)
(pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 m K))) 3)
(pow.f64 (cos.f64 (.f64 m (.f64 K 1/2))) 3)
(pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 m K))) 3)
(pow.f64 (cos.f64 (.f64 m (.f64 K 1/2))) 3)
(pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 m K))) 3)
(pow.f64 (cos.f64 (.f64 m (.f64 K 1/2))) 3)
(pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3)
1
(+.f64 1 (.f64 (+.f64 (.f64 -1/4 (pow.f64 K 2)) (*.f64 -1/8 (pow.f64 K 2))) (pow.f64 m 2)))
(+.f64 1 (.f64 (.f64 (.f64 m m) -3/8) (.f64 K K)))
(fma.f64 (.f64 m (.f64 m -3/8)) (*.f64 K K) 1)
(fma.f64 m (.f64 m (.f64 (*.f64 K K) -3/8)) 1)
(fma.f64 (pow.f64 (*.f64 m K) 2) -3/8 1)
(+.f64 1 (+.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 K 2)) (.f64 -1/8 (pow.f64 K 2))) (pow.f64 m 2)) (.f64 (+.f64 (.f64 1/192 (pow.f64 K 4)) (+.f64 (.f64 1/32 (pow.f64 K 4)) (+.f64 (.f64 1/64 (pow.f64 K 4)) (.f64 1/384 (pow.f64 K 4))))) (pow.f64 m 4))))
(+.f64 1 (fma.f64 (.f64 (.f64 m m) -3/8) (.f64 K K) (.f64 (pow.f64 K 4) (fma.f64 1/32 (pow.f64 m 4) (fma.f64 1/192 (pow.f64 m 4) (*.f64 (pow.f64 m 4) 7/384))))))
(+.f64 1 (fma.f64 (.f64 m (.f64 m -3/8)) (.f64 K K) (.f64 (pow.f64 K 4) (fma.f64 1/32 (pow.f64 m 4) (*.f64 (pow.f64 m 4) 3/128)))))
(fma.f64 m (.f64 m (.f64 (.f64 K K) -3/8)) (fma.f64 (pow.f64 K 4) (.f64 (pow.f64 m 4) 7/128) 1))
(fma.f64 (pow.f64 (.f64 m K) 2) -3/8 (fma.f64 (pow.f64 m 4) (.f64 (pow.f64 K 4) 7/128) 1))
(+.f64 1 (+.f64 (.f64 (+.f64 (.f64 -1/46080 (pow.f64 K 6)) (+.f64 (.f64 -1/8 (.f64 (+.f64 (.f64 1/192 (pow.f64 K 4)) (.f64 1/64 (pow.f64 K 4))) (pow.f64 K 2))) (+.f64 (.f64 -1/768 (pow.f64 K 6)) (.f64 -1/23040 (pow.f64 K 6))))) (pow.f64 m 6)) (+.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 K 2)) (.f64 -1/8 (pow.f64 K 2))) (pow.f64 m 2)) (.f64 (+.f64 (.f64 1/192 (pow.f64 K 4)) (+.f64 (.f64 1/32 (pow.f64 K 4)) (+.f64 (.f64 1/64 (pow.f64 K 4)) (.f64 1/384 (pow.f64 K 4))))) (pow.f64 m 4)))))
(+.f64 1 (fma.f64 (fma.f64 -1/46080 (pow.f64 K 6) (fma.f64 -1/8 (.f64 (.f64 K K) (.f64 (pow.f64 K 4) 1/48)) (.f64 (pow.f64 K 6) -31/23040))) (pow.f64 m 6) (fma.f64 (.f64 (.f64 K K) -3/8) (.f64 m m) (.f64 (pow.f64 m 4) (fma.f64 1/192 (pow.f64 K 4) (fma.f64 1/32 (pow.f64 K 4) (*.f64 (pow.f64 K 4) 7/384)))))))
(+.f64 1 (fma.f64 (pow.f64 m 6) (fma.f64 (pow.f64 K 6) -1/46080 (fma.f64 (pow.f64 K 6) -31/23040 (.f64 (.f64 K K) (.f64 (.f64 -1/8 (pow.f64 K 4)) 1/48)))) (fma.f64 (.f64 m m) (.f64 K (.f64 K -3/8)) (.f64 (pow.f64 m 4) (fma.f64 (pow.f64 K 4) 1/192 (*.f64 (pow.f64 K 4) 19/384))))))
(fma.f64 (pow.f64 m 6) (+.f64 (.f64 (pow.f64 K 6) -1/384) (.f64 (pow.f64 K 6) -7/5120)) (fma.f64 m (.f64 m (.f64 (.f64 K K) -3/8)) (fma.f64 (pow.f64 K 4) (.f64 (pow.f64 m 4) 7/128) 1)))
(fma.f64 (pow.f64 m 6) (+.f64 (.f64 (pow.f64 K 6) -1/384) (.f64 (pow.f64 K 6) -7/5120)) (fma.f64 (pow.f64 (.f64 m K) 2) -3/8 (fma.f64 (pow.f64 m 4) (.f64 (pow.f64 K 4) 7/128) 1)))
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 m K))) 3)
(pow.f64 (cos.f64 (.f64 m (.f64 K 1/2))) 3)
(pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 m K))) 3)
(pow.f64 (cos.f64 (.f64 m (.f64 K 1/2))) 3)
(pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 m K))) 3)
(pow.f64 (cos.f64 (.f64 m (.f64 K 1/2))) 3)
(pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 m K))) 3)
(pow.f64 (cos.f64 (.f64 m (.f64 K 1/2))) 3)
(pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 m K))) 3)
(pow.f64 (cos.f64 (.f64 m (.f64 K 1/2))) 3)
(pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 m K))) 3)
(pow.f64 (cos.f64 (.f64 m (.f64 K 1/2))) 3)
(pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 m K))) 3)
(pow.f64 (cos.f64 (.f64 m (.f64 K 1/2))) 3)
(pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 m K))) 3)
(pow.f64 (cos.f64 (.f64 m (.f64 K 1/2))) 3)
(pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3)
1
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) 1)
(fma.f64 -1/8 (.f64 (.f64 m m) (*.f64 K K)) 1)
(fma.f64 (.f64 -1/8 (.f64 K K)) (*.f64 m m) 1)
(fma.f64 (.f64 m m) (.f64 -1/8 (*.f64 K K)) 1)
(fma.f64 -1/8 (pow.f64 (*.f64 m K) 2) 1)
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)))))
(+.f64 (fma.f64 -1/8 (.f64 (.f64 m m) (.f64 K K)) 1) (.f64 1/384 (*.f64 (pow.f64 K 4) (pow.f64 m 4))))
(fma.f64 -1/8 (.f64 m (.f64 m (.f64 K K))) (fma.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)) 1))
(fma.f64 (.f64 m m) (.f64 -1/8 (.f64 K K)) (fma.f64 (pow.f64 K 4) (.f64 (pow.f64 m 4) 1/384) 1))
(fma.f64 (.f64 m m) (.f64 -1/8 (.f64 K K)) (fma.f64 1/384 (pow.f64 (.f64 m K) 4) 1))
(fma.f64 -1/8 (pow.f64 (.f64 m K) 2) (fma.f64 1/384 (pow.f64 (.f64 m K) 4) 1))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4))) (.f64 -1/46080 (.f64 (pow.f64 K 6) (pow.f64 m 6))))))
(+.f64 (fma.f64 -1/8 (.f64 (.f64 m m) (.f64 K K)) 1) (fma.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)) (.f64 -1/46080 (.f64 (pow.f64 K 6) (pow.f64 m 6)))))
(+.f64 (fma.f64 (.f64 -1/8 (.f64 K K)) (.f64 m m) 1) (fma.f64 (.f64 (pow.f64 K 4) 1/384) (pow.f64 m 4) (.f64 (pow.f64 K 6) (.f64 -1/46080 (pow.f64 m 6)))))
(fma.f64 (.f64 m m) (.f64 -1/8 (.f64 K K)) (fma.f64 (pow.f64 K 4) (.f64 (pow.f64 m 4) 1/384) (fma.f64 (pow.f64 K 6) (*.f64 -1/46080 (pow.f64 m 6)) 1)))
(fma.f64 (.f64 m m) (.f64 -1/8 (.f64 K K)) (fma.f64 1/384 (pow.f64 (.f64 m K) 4) (fma.f64 -1/46080 (pow.f64 (*.f64 m K) 6) 1)))
(fma.f64 -1/8 (pow.f64 (.f64 m K) 2) (fma.f64 1/384 (pow.f64 (.f64 m K) 4) (fma.f64 -1/46080 (pow.f64 (*.f64 m K) 6) 1)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 m K)))
(cos.f64 (.f64 m (.f64 K 1/2)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 m K)))
(cos.f64 (.f64 m (.f64 K 1/2)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 m K)))
(cos.f64 (.f64 m (.f64 K 1/2)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 m K)))
(cos.f64 (.f64 m (.f64 K 1/2)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 m K)))
(cos.f64 (.f64 m (.f64 K 1/2)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 m K)))
(cos.f64 (.f64 m (.f64 K 1/2)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 m K)))
(cos.f64 (.f64 m (.f64 K 1/2)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 m K)))
(cos.f64 (.f64 m (.f64 K 1/2)))
(cos.f64 (.f64 K (.f64 m 1/2)))
1
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) 1)
(fma.f64 -1/8 (.f64 (.f64 m m) (*.f64 K K)) 1)
(fma.f64 (.f64 -1/8 (.f64 K K)) (*.f64 m m) 1)
(fma.f64 (.f64 m m) (.f64 -1/8 (*.f64 K K)) 1)
(fma.f64 -1/8 (pow.f64 (*.f64 m K) 2) 1)
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)))))
(+.f64 (fma.f64 -1/8 (.f64 (.f64 m m) (.f64 K K)) 1) (.f64 1/384 (*.f64 (pow.f64 K 4) (pow.f64 m 4))))
(fma.f64 -1/8 (.f64 m (.f64 m (.f64 K K))) (fma.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)) 1))
(fma.f64 (.f64 m m) (.f64 -1/8 (.f64 K K)) (fma.f64 (pow.f64 K 4) (.f64 (pow.f64 m 4) 1/384) 1))
(fma.f64 (.f64 m m) (.f64 -1/8 (.f64 K K)) (fma.f64 1/384 (pow.f64 (.f64 m K) 4) 1))
(fma.f64 -1/8 (pow.f64 (.f64 m K) 2) (fma.f64 1/384 (pow.f64 (.f64 m K) 4) 1))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4))) (.f64 -1/46080 (.f64 (pow.f64 K 6) (pow.f64 m 6))))))
(+.f64 (fma.f64 -1/8 (.f64 (.f64 m m) (.f64 K K)) 1) (fma.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)) (.f64 -1/46080 (.f64 (pow.f64 K 6) (pow.f64 m 6)))))
(+.f64 (fma.f64 (.f64 -1/8 (.f64 K K)) (.f64 m m) 1) (fma.f64 (.f64 (pow.f64 K 4) 1/384) (pow.f64 m 4) (.f64 (pow.f64 K 6) (.f64 -1/46080 (pow.f64 m 6)))))
(fma.f64 (.f64 m m) (.f64 -1/8 (.f64 K K)) (fma.f64 (pow.f64 K 4) (.f64 (pow.f64 m 4) 1/384) (fma.f64 (pow.f64 K 6) (*.f64 -1/46080 (pow.f64 m 6)) 1)))
(fma.f64 (.f64 m m) (.f64 -1/8 (.f64 K K)) (fma.f64 1/384 (pow.f64 (.f64 m K) 4) (fma.f64 -1/46080 (pow.f64 (*.f64 m K) 6) 1)))
(fma.f64 -1/8 (pow.f64 (.f64 m K) 2) (fma.f64 1/384 (pow.f64 (.f64 m K) 4) (fma.f64 -1/46080 (pow.f64 (*.f64 m K) 6) 1)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 m K)))
(cos.f64 (.f64 m (.f64 K 1/2)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 m K)))
(cos.f64 (.f64 m (.f64 K 1/2)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 m K)))
(cos.f64 (.f64 m (.f64 K 1/2)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 m K)))
(cos.f64 (.f64 m (.f64 K 1/2)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 m K)))
(cos.f64 (.f64 m (.f64 K 1/2)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 m K)))
(cos.f64 (.f64 m (.f64 K 1/2)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 m K)))
(cos.f64 (.f64 m (.f64 K 1/2)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 m K)))
(cos.f64 (.f64 m (.f64 K 1/2)))
(cos.f64 (.f64 K (.f64 m 1/2)))

localize50.0ms (0.3%)

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)))
	33.0b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

Compiler

Compiled 64 to 24 computations (62.5% saved)

series18.0ms (0.1%)

Counts

1 → 60

Calls

15 calls:

Time	Variable		Point	Expression
7.0ms	n	@	inf	(.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	K	@	0	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l)))
1.0ms	m	@	inf	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l)))

rewrite78.0ms (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)))))))

simplify242.0ms (1.4%)

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))))))))
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localize142.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (.f64 n (.f64 n -1/4))))
	0.0b	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)
✓	0.0b	(exp.f64 (.f64 n (.f64 n -1/4)))
	33.0b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

Compiler

Compiled 76 to 36 computations (52.6% saved)

series19.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	m	@	0	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (.f64 n (.f64 n -1/4))))
2.0ms	K	@	inf	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (.f64 n (.f64 n -1/4))))
2.0ms	K	@	0	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (.f64 n (.f64 n -1/4))))
1.0ms	M	@	0	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (.f64 n (.f64 n -1/4))))
1.0ms	M	@	inf	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (.f64 n (.f64 n -1/4))))

rewrite122.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

906×	`log-prod_binary64`
508×	`fma-def_binary64`
330×	`expm1-udef_binary64`
330×	`log1p-udef_binary64`
273×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	35
1	360	35
2	5023	35

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

Outputs

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

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

simplify199.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

792×	`fma-def_binary64`
746×	`distribute-rgt-neg-out_binary64`
666×	`distribute-lft-neg-out_binary64`
471×	`*-commutative_binary64`
407×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	147	2006
1	432	1990
2	1403	1841
3	4559	1841

Stop Event

1×	node limit

Counts

110 → 96

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

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))))
(+.f64 (fma.f64 -1/4 (.f64 n n) 1) (.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 (fma.f64 -1/4 (.f64 n n) 1) (fma.f64 1/32 (pow.f64 n 4) (.f64 -1/384 (pow.f64 n 6))))
(+.f64 1 (fma.f64 -1/4 (.f64 n n) (fma.f64 1/32 (pow.f64 n 4) (.f64 -1/384 (pow.f64 n 6)))))
(+.f64 (fma.f64 -1/384 (pow.f64 n 6) (.f64 -1/4 (.f64 n n))) (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))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 (neg.f64 M)))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 M))
(+.f64 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 (neg.f64 M))) (.f64 -1/2 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (.f64 K (*.f64 (sin.f64 (neg.f64 M)) (+.f64 n m))))))
(fma.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 M) (.f64 -1/2 (.f64 (.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) K) (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)))))
(fma.f64 -1/2 (.f64 (.f64 (sin.f64 (neg.f64 M)) (+.f64 n m)) (.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) K)) (.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 M)))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (+.f64 (cos.f64 M) (.f64 -1/2 (.f64 K (*.f64 (neg.f64 (sin.f64 M)) (+.f64 n m))))))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (+.f64 (cos.f64 M) (.f64 -1/2 (.f64 (neg.f64 (sin.f64 M)) (*.f64 K (+.f64 n m))))))
(+.f64 (.f64 -1/8 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2))))) (+.f64 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 (neg.f64 M))) (.f64 -1/2 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (.f64 K (.f64 (sin.f64 (neg.f64 M)) (+.f64 n m)))))))
(fma.f64 -1/8 (.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (.f64 (.f64 (cos.f64 M) (.f64 K K)) (pow.f64 (+.f64 n m) 2))) (fma.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 M) (.f64 -1/2 (.f64 (.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) K) (*.f64 (neg.f64 (sin.f64 M)) (+.f64 n m))))))
(fma.f64 -1/8 (.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (.f64 (.f64 (cos.f64 M) (pow.f64 (+.f64 n m) 2)) (.f64 K K))) (fma.f64 -1/2 (.f64 (.f64 (sin.f64 (neg.f64 M)) (+.f64 n m)) (.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) K)) (.f64 (pow.f64 (exp.f64 -1/4) (*.f64 n n)) (cos.f64 M))))
(fma.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (.f64 -1/8 (.f64 (cos.f64 M) (.f64 (.f64 K K) (pow.f64 (+.f64 n m) 2)))) (.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (+.f64 (cos.f64 M) (.f64 -1/2 (.f64 K (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)))))))
(fma.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (.f64 -1/8 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 (cos.f64 M) (.f64 K K)))) (.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (+.f64 (cos.f64 M) (.f64 -1/2 (.f64 (neg.f64 (sin.f64 M)) (.f64 K (+.f64 n m)))))))
(+.f64 (.f64 -1/8 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2))))) (+.f64 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 (neg.f64 M))) (+.f64 (.f64 1/48 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (.f64 (pow.f64 K 3) (.f64 (sin.f64 (neg.f64 M)) (pow.f64 (+.f64 n m) 3))))) (.f64 -1/2 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (.f64 K (*.f64 (sin.f64 (neg.f64 M)) (+.f64 n m))))))))
(fma.f64 -1/8 (.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (.f64 (.f64 (cos.f64 M) (.f64 K K)) (pow.f64 (+.f64 n m) 2))) (fma.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 M) (fma.f64 1/48 (.f64 (.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (pow.f64 K 3)) (.f64 (neg.f64 (sin.f64 M)) (pow.f64 (+.f64 n m) 3))) (.f64 -1/2 (.f64 (.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) K) (*.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)))))))
(fma.f64 -1/8 (.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (.f64 (.f64 (cos.f64 M) (pow.f64 (+.f64 n m) 2)) (.f64 K K))) (fma.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 M) (fma.f64 -1/2 (.f64 (.f64 (sin.f64 (neg.f64 M)) (+.f64 n m)) (.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) K)) (.f64 (.f64 (pow.f64 (+.f64 n m) 3) (.f64 (sin.f64 (neg.f64 M)) (pow.f64 K 3))) (.f64 (pow.f64 (exp.f64 -1/4) (*.f64 n n)) 1/48)))))
(+.f64 (.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (+.f64 (.f64 -1/2 (.f64 K (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)))) (.f64 1/48 (.f64 (neg.f64 (sin.f64 M)) (.f64 (pow.f64 K 3) (pow.f64 (+.f64 n m) 3)))))) (.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (+.f64 (cos.f64 M) (.f64 -1/8 (.f64 (cos.f64 M) (.f64 (.f64 K K) (pow.f64 (+.f64 n m) 2)))))))
(+.f64 (.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (+.f64 (.f64 -1/2 (.f64 (neg.f64 (sin.f64 M)) (.f64 K (+.f64 n m)))) (.f64 1/48 (.f64 (pow.f64 (+.f64 n m) 3) (.f64 (neg.f64 (sin.f64 M)) (pow.f64 K 3)))))) (.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (+.f64 (cos.f64 M) (.f64 -1/8 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 (cos.f64 M) (.f64 K K)))))))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M))))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (fma.f64 (*.f64 K 1/2) (+.f64 n m) (neg.f64 M))))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M))))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (fma.f64 (*.f64 K 1/2) (+.f64 n m) (neg.f64 M))))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M))))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (fma.f64 (*.f64 K 1/2) (+.f64 n m) (neg.f64 M))))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M))))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (fma.f64 (*.f64 K 1/2) (+.f64 n m) (neg.f64 M))))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M))))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (fma.f64 (*.f64 K 1/2) (+.f64 n m) (neg.f64 M))))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M))))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (fma.f64 (*.f64 K 1/2) (+.f64 n m) (neg.f64 M))))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M))))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (fma.f64 (*.f64 K 1/2) (+.f64 n m) (neg.f64 M))))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M))))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (fma.f64 (*.f64 K 1/2) (+.f64 n m) (neg.f64 M))))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (-.f64 (.f64 (.f64 1/2 n) K) M)))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (fma.f64 1/2 (*.f64 n K) (neg.f64 M))))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (fma.f64 n (*.f64 K 1/2) (neg.f64 M))))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m)))) (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M))))
(fma.f64 -1/2 (.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (.f64 (sin.f64 (-.f64 (.f64 (.f64 1/2 n) K) M)) (.f64 K m))) (.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (-.f64 (.f64 (.f64 1/2 n) K) M))))
(fma.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (fma.f64 1/2 (.f64 n K) (neg.f64 M))) (.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (.f64 (.f64 (sin.f64 (fma.f64 1/2 (.f64 n K) (neg.f64 M))) (.f64 K m)) -1/2)))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (+.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 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (+.f64 (cos.f64 (fma.f64 n (.f64 K 1/2) (neg.f64 M))) (.f64 -1/2 (.f64 (sin.f64 (fma.f64 n (.f64 K 1/2) (neg.f64 M))) (*.f64 K m)))))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m)))) (+.f64 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))) (.f64 -1/8 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (.f64 (pow.f64 K 2) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (pow.f64 m 2)))))))
(fma.f64 -1/2 (.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (.f64 (sin.f64 (-.f64 (.f64 (.f64 1/2 n) K) M)) (.f64 K m))) (fma.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (-.f64 (.f64 (.f64 1/2 n) K) M)) (.f64 -1/8 (.f64 (.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (.f64 K K)) (.f64 (cos.f64 (-.f64 (.f64 (.f64 1/2 n) K) M)) (.f64 m m))))))
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(fma.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (.f64 M (.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))))))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (+.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (.f64 M (sin.f64 (.f64 K (*.f64 (+.f64 n m) 1/2))))))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 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)))) (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) M)) (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))))))
(fma.f64 -1/2 (.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (.f64 M M))) (fma.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) M) (.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))))))
(fma.f64 -1/2 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (.f64 M M))) (fma.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (.f64 M (.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2)))))))
(fma.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (.f64 M (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2)))) (.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (.f64 (.f64 M M) (.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) -1/2)))))
(+.f64 (.f64 -1/6 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (pow.f64 M 3)))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 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)))) (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) M)) (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m))))))))
(fma.f64 -1/6 (.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (pow.f64 M 3))) (fma.f64 -1/2 (.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (.f64 M M))) (fma.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) M) (.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m))))))))
(fma.f64 -1/6 (.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (.f64 (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (pow.f64 M 3))) (fma.f64 -1/2 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (.f64 M M))) (fma.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (.f64 M (.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (sin.f64 (.f64 K (*.f64 (+.f64 n m) 1/2))))))))
(+.f64 (.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (+.f64 (.f64 M (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2)))) (.f64 -1/2 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (.f64 M M))))) (.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (+.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (.f64 -1/6 (.f64 (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (pow.f64 M 3))))))
(+.f64 (.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (+.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (.f64 M (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2)))))) (.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (.f64 M M))) (.f64 -1/6 (.f64 (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (pow.f64 M 3))))))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M))))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (fma.f64 (*.f64 K 1/2) (+.f64 n m) (neg.f64 M))))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M))))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (fma.f64 (*.f64 K 1/2) (+.f64 n m) (neg.f64 M))))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M))))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (fma.f64 (*.f64 K 1/2) (+.f64 n m) (neg.f64 M))))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M))))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (fma.f64 (*.f64 K 1/2) (+.f64 n m) (neg.f64 M))))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M))))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (fma.f64 (*.f64 K 1/2) (+.f64 n m) (neg.f64 M))))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M))))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (fma.f64 (*.f64 K 1/2) (+.f64 n m) (neg.f64 M))))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M))))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (fma.f64 (*.f64 K 1/2) (+.f64 n m) (neg.f64 M))))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M))))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (fma.f64 (*.f64 K 1/2) (+.f64 n m) (neg.f64 M))))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 n n)) (cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))))

localize20.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))

Compiler

Compiled 69 to 14 computations (79.7% saved)

localize46.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (neg.f64 (.f64 n (.f64 n 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))
✓	0.0b	(.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 n (*.f64 n 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))))

Compiler

Compiled 83 to 37 computations (55.4% saved)

series10.0ms (0.1%)

Counts

1 → 48

Calls

12 calls:

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

rewrite71.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

854×	`log-prod_binary64`
498×	`fma-neg_binary64`
300×	`expm1-udef_binary64`
300×	`log1p-udef_binary64`
238×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	27
1	360	23
2	5339	23

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify124.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

530×	`times-frac_binary64`
516×	`fma-def_binary64`
433×	`associate-l_binary64`
423×	`associate-/l*_binary64`
412×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	92	1638
1	265	1406
2	797	1279
3	3662	1221

Stop Event

1×	node limit

Counts

68 → 49

Calls

Call 1

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

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

eval1.0s (5.9%)

Compiler: Compiled 27114 to 13676 computations (49.6% saved)

prune384.0ms (2.2%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	987	18	1005
Fresh	5	2	7
Picked	1	0	1
Done	4	0	4
Total	997	20	1017

Error

0.9b

Counts

1017 → 20

Alt Table

Click to see full alt table

Status	Error	Program
▶	8.0b	(.f64 (cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 (.f64 1/2 (*.f64 K m))) 3)) 1)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	46.1b	(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
	47.6b	(.f64 (cos.f64 (.f64 K (*.f64 n 1/2))) (exp.f64 (neg.f64 l)))
	59.8b	(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
▶	51.6b	(*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (cos.f64 M))
▶	27.3b	(.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M))))
	29.3b	(.f64 (cos.f64 M) (exp.f64 (.f64 n (*.f64 n -1/4))))
▶	29.7b	(.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 (.f64 M M) l) (-.f64 m n))))
	30.3b	(.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3)) (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	53.1b	(.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)))
	33.2b	(.f64 (cos.f64 (.f64 K (.f64 m 1/2))) (exp.f64 (.f64 n (*.f64 n -1/4))))
	50.3b	(+.f64 0 (.f64 (cos.f64 (fma.f64 (+.f64 m n) (.f64 K 1/2) (neg.f64 M))) (exp.f64 l)))
	46.1b	(/.f64 (cos.f64 M) (exp.f64 l))
	60.3b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (fma.f64 -1/4 (*.f64 n n) 1))
	10.5b	(.f64 (cos.f64 M) (exp.f64 (fma.f64 (.f64 n n) -1/4 (neg.f64 (-.f64 l (-.f64 m n))))))
	31.7b	(.f64 (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (+.f64 m n) (.f64 K 1/2) (neg.f64 M))) 2)) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	47.8b	(.f64 (cos.f64 (.f64 K (*.f64 m 1/2))) (exp.f64 (neg.f64 l)))
▶	59.5b	(cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
	37.0b	(sqrt.f64 (pow.f64 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) (exp.f64 (+.f64 (-.f64 m n) (-.f64 (.f64 M M) l)))) 2))
	50.1b	(sqrt.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 (+.f64 m n) (.f64 K 1/2) (neg.f64 M))) (exp.f64 l)) 2))

Compiler

Compiled 782 to 580 computations (25.8% saved)

localize100.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)) 1))
✓	0.3b	(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)
✓	0.8b	(-.f64 (+.f64 1 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)) 1)
✓	27.2b	(cos.f64 (.f64 1/2 (.f64 K m)))

Compiler

Compiled 185 to 100 computations (45.9% saved)

series9.0ms (0.1%)

Counts

4 → 64

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	K	@	inf	(-.f64 (+.f64 1 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)) 1)
0.0ms	m	@	0	(-.f64 (+.f64 1 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)) 1)
0.0ms	K	@	0	(-.f64 (+.f64 1 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)) 1)
0.0ms	K	@	0	(cos.f64 (.f64 1/2 (.f64 K m)))
0.0ms	m	@	0	(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)

rewrite93.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

718×	`prod-diff_binary64`
511×	`log-prod_binary64`
380×	`fma-def_binary64`
290×	`pow2_binary64`
200×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	54
1	282	42
2	3491	42

Stop Event

1×	node limit

Counts

4 → 199

Calls

Call 1

Inputs
(cos.f64 (.f64 1/2 (.f64 K m)))
(-.f64 (+.f64 1 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)) 1)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)
(cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)) 1))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (.f64 K (.f64 m 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 K (.f64 m 1/2))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 K (.f64 m 1/2))))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 K (.f64 m 1/2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 K (.f64 m 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 K (.f64 m 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 K (.f64 m 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (.f64 K (.f64 m 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (.f64 K (.f64 m 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (.f64 K (.f64 m 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))) (pow.f64 (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))) 2) (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))) (sqrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cos.f64 (.f64 K (.f64 m 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (expm1.f64 (.f64 3 (log1p.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3)) 2) (+.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (expm1.f64 (.f64 2 (log1p.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (.f64 K (.f64 m 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (.f64 K (.f64 m 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (.f64 K (.f64 m 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (.f64 K (.f64 m 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (.f64 K (.f64 m 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (cos.f64 (.f64 K (.f64 m 1/2))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cos.f64 (.f64 K (*.f64 m 1/2)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 (+.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (.f64 K (.f64 m 1/2))) (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 2) (cos.f64 (.f64 K (.f64 m 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))) 2) (.f64 (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))) (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))) (.f64 (sqrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))) (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (expm1.f64 (.f64 3 (log1p.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3)) 2) (+.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (expm1.f64 (.f64 2 (log1p.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3)))) (/.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3/2) (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (hypot.f64 1 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3/2)) 1) (-.f64 (hypot.f64 1 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 2) 1) (cos.f64 (.f64 K (.f64 m 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 2) (pow.f64 (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))) 2)) (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 2) (sqrt.f64 (cos.f64 (.f64 K (.f64 m 1/2))))) (sqrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3)) 2) (+.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3) 2)) (expm1.f64 (.f64 3 (log1p.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3) 2) (expm1.f64 (.f64 2 (log1p.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (.f64 3 (log1p.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3)))) (+.f64 (pow.f64 (+.f64 1 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3)) 2) (+.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (.f64 3 (log1p.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3)))) (+.f64 (pow.f64 (+.f64 1 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3)) 2) (-.f64 1 (.f64 (+.f64 1 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (.f64 2 (log1p.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3)))) (+.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (.f64 3 (log1p.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3))))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3)) 2) (+.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (expm1.f64 (.f64 2 (log1p.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3))))) (neg.f64 (+.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3) -1) 2) (+.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3) -1) 2)) (-.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 9) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3)) 2) (+.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3) 2)) (expm1.f64 (.f64 3 (log1p.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3) 2) (expm1.f64 (.f64 2 (log1p.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 9))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3/2) (sqrt.f64 (-.f64 (pow.f64 (cos.f64 (.f64 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fma.f64 (expm1.f64 (.f64 2 (log1p.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3)))) (/.f64 1 (+.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 6)) (/.f64 1 (-.f64 1 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3/2) (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3) -1)) 2) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3) -1)) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (hypot.f64 1 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3/2)) 1) (-.f64 (hypot.f64 1 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3/2)) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3/2) 1) (-.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3/2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 2) 1) (cos.f64 (.f64 K (.f64 m 1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 2) (pow.f64 (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))) 2)) (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 2) (sqrt.f64 (cos.f64 (.f64 K (.f64 m 1/2))))) (sqrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))) 0)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (.f64 K (.f64 m 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 K (.f64 m 1/2))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 K (.f64 m 1/2))))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 K (.f64 m 1/2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 K (.f64 m 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 K (.f64 m 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (.f64 K (.f64 m 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (.f64 K (.f64 m 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (.f64 K (.f64 m 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (.f64 K (.f64 m 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))) (pow.f64 (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))) 2) (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))) (sqrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cos.f64 (.f64 K (.f64 m 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (expm1.f64 (.f64 3 (log1p.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 1 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3)) 2) (+.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (expm1.f64 (.f64 2 (log1p.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (.f64 K (.f64 m 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (.f64 K (.f64 m 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (.f64 K (.f64 m 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (.f64 K (.f64 m 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (.f64 K (.f64 m 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (.f64 K (.f64 m 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (cos.f64 (.f64 K (.f64 m 1/2))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cos.f64 (.f64 K (*.f64 m 1/2)))) 1))))))

simplify148.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

968×	`distribute-rgt-out_binary64`
835×	`fma-def_binary64`
548×	`associate-l_binary64`
457×	`associate-r_binary64`
335×	`sqr-pow_binary64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	95	1250
1	275	1168
2	978	1032
3	5409	1032
4	5906	1032
5	6014	996
6	6217	996
7	6478	924
8	6772	924

Stop Event

1×	node limit

Counts

263 → 125

Calls

Call 1

Inputs
1
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) 1)
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4))) (.f64 -1/46080 (.f64 (pow.f64 K 6) (pow.f64 m 6))))))
1
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) 1)
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4))) (.f64 -1/46080 (.f64 (pow.f64 K 6) (pow.f64 m 6))))))
1
(+.f64 1 (.f64 (+.f64 (.f64 -1/4 (pow.f64 m 2)) (*.f64 -1/8 (pow.f64 m 2))) (pow.f64 K 2)))
(+.f64 1 (+.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 m 2)) (.f64 -1/8 (pow.f64 m 2))) (pow.f64 K 2)) (.f64 (pow.f64 K 4) (+.f64 (.f64 1/32 (pow.f64 m 4)) (+.f64 (.f64 1/192 (pow.f64 m 4)) (+.f64 (.f64 1/64 (pow.f64 m 4)) (.f64 1/384 (pow.f64 m 4))))))))
(+.f64 1 (+.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 m 2)) (.f64 -1/8 (pow.f64 m 2))) (pow.f64 K 2)) (+.f64 (.f64 (pow.f64 K 4) (+.f64 (.f64 1/32 (pow.f64 m 4)) (+.f64 (.f64 1/192 (pow.f64 m 4)) (+.f64 (.f64 1/64 (pow.f64 m 4)) (.f64 1/384 (pow.f64 m 4)))))) (.f64 (pow.f64 K 6) (+.f64 (.f64 -1/46080 (pow.f64 m 6)) (+.f64 (.f64 -1/23040 (pow.f64 m 6)) (+.f64 (.f64 -1/8 (.f64 (+.f64 (.f64 1/192 (pow.f64 m 4)) (.f64 1/64 (pow.f64 m 4))) (pow.f64 m 2))) (.f64 -1/768 (pow.f64 m 6)))))))))
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)
1
(+.f64 1 (.f64 (+.f64 (.f64 -1/4 (pow.f64 K 2)) (*.f64 -1/8 (pow.f64 K 2))) (pow.f64 m 2)))
(+.f64 1 (+.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 K 2)) (.f64 -1/8 (pow.f64 K 2))) (pow.f64 m 2)) (.f64 (+.f64 (.f64 1/192 (pow.f64 K 4)) (+.f64 (.f64 1/32 (pow.f64 K 4)) (+.f64 (.f64 1/64 (pow.f64 K 4)) (.f64 1/384 (pow.f64 K 4))))) (pow.f64 m 4))))
(+.f64 1 (+.f64 (.f64 (+.f64 (.f64 -1/46080 (pow.f64 K 6)) (+.f64 (.f64 -1/8 (.f64 (+.f64 (.f64 1/192 (pow.f64 K 4)) (.f64 1/64 (pow.f64 K 4))) (pow.f64 K 2))) (+.f64 (.f64 -1/768 (pow.f64 K 6)) (.f64 -1/23040 (pow.f64 K 6))))) (pow.f64 m 6)) (+.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 K 2)) (.f64 -1/8 (pow.f64 K 2))) (pow.f64 m 2)) (.f64 (+.f64 (.f64 1/192 (pow.f64 K 4)) (+.f64 (.f64 1/32 (pow.f64 K 4)) (+.f64 (.f64 1/64 (pow.f64 K 4)) (.f64 1/384 (pow.f64 K 4))))) (pow.f64 m 4)))))
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 3)
1
(+.f64 1 (.f64 (+.f64 (.f64 -1/4 (pow.f64 m 2)) (*.f64 -1/8 (pow.f64 m 2))) (pow.f64 K 2)))
(+.f64 1 (+.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 m 2)) (.f64 -1/8 (pow.f64 m 2))) (pow.f64 K 2)) (.f64 (pow.f64 K 4) (+.f64 (.f64 1/32 (pow.f64 m 4)) (+.f64 (.f64 1/192 (pow.f64 m 4)) (+.f64 (.f64 1/64 (pow.f64 m 4)) (.f64 1/384 (pow.f64 m 4))))))))
(+.f64 1 (+.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 m 2)) (.f64 -1/8 (pow.f64 m 2))) (pow.f64 K 2)) (+.f64 (.f64 (pow.f64 K 4) (+.f64 (.f64 1/32 (pow.f64 m 4)) (+.f64 (.f64 1/192 (pow.f64 m 4)) (+.f64 (.f64 1/64 (pow.f64 m 4)) (.f64 1/384 (pow.f64 m 4)))))) (.f64 (pow.f64 K 6) (+.f64 (.f64 -1/46080 (pow.f64 m 6)) (+.f64 (.f64 -1/23040 (pow.f64 m 6)) (+.f64 (.f64 -1/8 (.f64 (+.f64 (.f64 1/192 (pow.f64 m 4)) (.f64 1/64 (pow.f64 m 4))) (pow.f64 m 2))) (.f64 -1/768 (pow.f64 m 6)))))))))
1
(+.f64 1 (.f64 (+.f64 (.f64 -1/4 (pow.f64 K 2)) (*.f64 -1/8 (pow.f64 K 2))) (pow.f64 m 2)))
(+.f64 1 (+.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 K 2)) (.f64 -1/8 (pow.f64 K 2))) (pow.f64 m 2)) (.f64 (+.f64 (.f64 1/192 (pow.f64 K 4)) (+.f64 (.f64 1/32 (pow.f64 K 4)) (+.f64 (.f64 1/64 (pow.f64 K 4)) (.f64 1/384 (pow.f64 K 4))))) (pow.f64 m 4))))
(+.f64 1 (+.f64 (.f64 (+.f64 (.f64 -1/46080 (pow.f64 K 6)) (+.f64 (.f64 -1/8 (.f64 (+.f64 (.f64 1/192 (pow.f64 K 4)) (.f64 1/64 (pow.f64 K 4))) (pow.f64 K 2))) (+.f64 (.f64 -1/768 (pow.f64 K 6)) (.f64 -1/23040 (pow.f64 K 6))))) (pow.f64 m 6)) (+.f64 (.f64 (+.f64 (.f64 -1/4 (pow.f64 K 2)) (.f64 -1/8 (pow.f64 K 2))) (pow.f64 m 2)) (.f64 (+.f64 (.f64 1/192 (pow.f64 K 4)) (+.f64 (.f64 1/32 (pow.f64 K 4)) (+.f64 (.f64 1/64 (pow.f64 K 4)) (.f64 1/384 (pow.f64 K 4))))) (pow.f64 m 4)))))
1
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) 1)
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4))) (.f64 -1/46080 (.f64 (pow.f64 K 6) (pow.f64 m 6))))))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
1
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) 1)
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4))) (.f64 -1/46080 (.f64 (pow.f64 K 6) (pow.f64 m 6))))))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))

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

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 K (.f64 m 1/2)) M)
✓	22.3b	(cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))

Compiler

Compiled 32 to 20 computations (37.5% saved)

series13.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	m	@	-inf	(-.f64 (.f64 K (.f64 m 1/2)) M)
2.0ms	M	@	-inf	(cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
1.0ms	K	@	0	(cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
1.0ms	M	@	0	(cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
1.0ms	M	@	0	(-.f64 (.f64 K (.f64 m 1/2)) M)

rewrite76.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	199	22
2	2649	22

Stop Event

1×	node limit

Counts

2 → 170

Calls

Call 1

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

Outputs

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

simplify72.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

846×	`distribute-lft-neg-out_binary64`
751×	`distribute-rgt-neg-out_binary64`
486×	`neg-sub0_binary64`
483×	`neg-mul-1_binary64`
392×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	55	955
1	157	953
2	435	933
3	1849	916
4	3625	908

Stop Event

1×	node limit

Counts

242 → 195

Calls

Call 1

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

localize23.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 27 to 10 computations (63% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	M	@	0	(exp.f64 (*.f64 M (neg.f64 M)))
1.0ms	M	@	inf	(exp.f64 (*.f64 M (neg.f64 M)))
0.0ms	M	@	-inf	(exp.f64 (*.f64 M (neg.f64 M)))

rewrite62.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

342×	`pow1_binary64`
331×	`add-sqr-sqrt_binary64`
325×	`*-un-lft-identity_binary64`
315×	`add-log-exp_binary64`
314×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	100	6
2	1271	6

Stop Event

1×	node limit

Counts

1 → 68

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (*.f64 M M)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (exp.f64 M) M))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 (exp.f64 M) M)) 2))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (exp.f64 M) M)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 M) M)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (exp.f64 M) M)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (exp.f64 M) M)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 M) M) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (exp.f64 M) M))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 M) M)) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 M) M)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 M) M)) 2) (cbrt.f64 (pow.f64 (exp.f64 M) M)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (exp.f64 M) M)) (sqrt.f64 (pow.f64 (exp.f64 M) M)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 M) M) 5/2)) (pow.f64 (pow.f64 (exp.f64 M) M) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 M) M) (cbrt.f64 (pow.f64 (exp.f64 M) M))) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 M) M))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (exp.f64 M) M))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 M) (pow.f64 (exp.f64 M) M))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 M)) 2) M) (pow.f64 (cbrt.f64 (exp.f64 M)) M))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (exp.f64 M)) M) (pow.f64 (sqrt.f64 (exp.f64 M)) M))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 M) M) (cbrt.f64 (pow.f64 (exp.f64 M) M))) 2) 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 M) M))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 M) M) 5/2) 1/3) (pow.f64 (pow.f64 (exp.f64 M) M) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (E.f64) (*.f64 (/.f64 M 2) M)) (pow.f64 (E.f64) (*.f64 (/.f64 M 2) M)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (E.f64) (*.f64 2 (*.f64 1/3 (*.f64 M M)))) (pow.f64 (E.f64) (*.f64 1/3 (*.f64 M M))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (exp.f64 M) M))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (+.f64 1 (*.f64 M M))) (E.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 M) (+.f64 1 M)) (exp.f64 M))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (E.f64) (+.f64 1 (*.f64 M M))) (E.f64))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 M) M) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 M) M) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 M) M)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 M) (*.f64 (/.f64 M 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 M) (+.f64 (/.f64 M 2) (/.f64 M 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 M) (/.f64 (+.f64 M M) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 M) (/.f64 (*.f64 2 M) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 M) M) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 M) M) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 M) M) 3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (exp.f64 M) M)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (exp.f64 M) M)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (exp.f64 M) M)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (exp.f64 M) M)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 M M))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (*.f64 M M))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 M) 2)) (*.f64 M (cbrt.f64 M)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (*.f64 M (cbrt.f64 M))) (pow.f64 (cbrt.f64 M) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (*.f64 M (cbrt.f64 M))) (neg.f64 (pow.f64 (cbrt.f64 M) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 M)) (pow.f64 M 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 M) 2) (/.f64 M 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 M) 5)) (cbrt.f64 M))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 M) 5)) (neg.f64 (cbrt.f64 M)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 M 3/2)) (sqrt.f64 M))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 M 3/2)) (neg.f64 (sqrt.f64 M)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 M 3/2)) (*.f64 (sqrt.f64 M) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (E.f64) -1) (*.f64 M M))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 M) (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 M) (neg.f64 (pow.f64 (cbrt.f64 M) 2))) (cbrt.f64 M))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 M) (neg.f64 (sqrt.f64 M))) (sqrt.f64 M))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 M) (*.f64 -1 (sqrt.f64 M))) (sqrt.f64 M))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (*.f64 M (cbrt.f64 M))) (cbrt.f64 M)) (cbrt.f64 M))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (*.f64 M (cbrt.f64 M))) (cbrt.f64 (*.f64 M (cbrt.f64 M)))) (pow.f64 (cbrt.f64 (cbrt.f64 M)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 M) 5)) -1) (cbrt.f64 M))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 M) 5)) (pow.f64 (cbrt.f64 (cbrt.f64 M)) 2)) (cbrt.f64 (cbrt.f64 M)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 M) 5)) (pow.f64 M 1/6)) (pow.f64 M 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 M 3/2)) (cbrt.f64 M)) (pow.f64 M 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 M 3/2)) (sqrt.f64 -1)) (sqrt.f64 M))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 M 3/2)) (pow.f64 M 1/4)) (pow.f64 M 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (exp.f64 M) M) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 M) M)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (exp.f64 M) M) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 M) M)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 M) M)))))))

simplify74.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

702×	`distribute-rgt-neg-in_binary64`
632×	`distribute-lft-neg-in_binary64`
357×	`distribute-lft-out_binary64`
350×	`cancel-sign-sub-inv_binary64`
321×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	115
1	52	111
2	123	109
3	415	107
4	1600	107
5	4635	107

Stop Event

1×	node limit

Counts

80 → 77

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1 (pow.f64 M 2)))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 M 2)) (.f64 1/2 (pow.f64 M 4))))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 M 2)) (+.f64 (.f64 1/2 (pow.f64 M 4)) (*.f64 -1/6 (pow.f64 M 6)))))
(exp.f64 (*.f64 -1 (pow.f64 M 2)))
(exp.f64 (*.f64 -1 (pow.f64 M 2)))
(exp.f64 (*.f64 -1 (pow.f64 M 2)))
(exp.f64 (*.f64 -1 (pow.f64 M 2)))
(exp.f64 (*.f64 -1 (pow.f64 M 2)))
(exp.f64 (*.f64 -1 (pow.f64 M 2)))
(exp.f64 (*.f64 -1 (pow.f64 M 2)))
(exp.f64 (*.f64 -1 (pow.f64 M 2)))

Outputs
1
(+.f64 1 (*.f64 -1 (pow.f64 M 2)))
(+.f64 1 (neg.f64 (*.f64 M M)))
(-.f64 1 (*.f64 M M))
(neg.f64 (fma.f64 M M -1))
(fma.f64 M (neg.f64 M) 1)
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 M 2)) (.f64 1/2 (pow.f64 M 4))))
(+.f64 1 (fma.f64 -1 (.f64 M M) (.f64 1/2 (pow.f64 M 4))))
(+.f64 1 (-.f64 (.f64 1/2 (pow.f64 M 4)) (.f64 M M)))
(-.f64 (fma.f64 1/2 (pow.f64 M 4) 1) (*.f64 M M))
(-.f64 (*.f64 1/2 (pow.f64 M 4)) (fma.f64 M M -1))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 M 2)) (+.f64 (.f64 1/2 (pow.f64 M 4)) (*.f64 -1/6 (pow.f64 M 6)))))
(+.f64 1 (fma.f64 -1 (.f64 M M) (fma.f64 1/2 (pow.f64 M 4) (.f64 -1/6 (pow.f64 M 6)))))
(+.f64 1 (-.f64 (fma.f64 1/2 (pow.f64 M 4) (.f64 -1/6 (pow.f64 M 6))) (.f64 M M)))
(+.f64 (-.f64 1 (.f64 M M)) (fma.f64 -1/6 (pow.f64 M 6) (.f64 1/2 (pow.f64 M 4))))
(fma.f64 1/2 (pow.f64 M 4) (-.f64 (*.f64 -1/6 (pow.f64 M 6)) (fma.f64 M M -1)))
(-.f64 (fma.f64 -1/6 (pow.f64 M 6) (fma.f64 1/2 (pow.f64 M 4) 1)) (*.f64 M M))
(exp.f64 (*.f64 -1 (pow.f64 M 2)))
(exp.f64 (neg.f64 (*.f64 M M)))
(exp.f64 (*.f64 M (neg.f64 M)))
(pow.f64 (exp.f64 M) (neg.f64 M))
(exp.f64 (*.f64 -1 (pow.f64 M 2)))
(exp.f64 (neg.f64 (*.f64 M M)))
(exp.f64 (*.f64 M (neg.f64 M)))
(pow.f64 (exp.f64 M) (neg.f64 M))
(exp.f64 (*.f64 -1 (pow.f64 M 2)))
(exp.f64 (neg.f64 (*.f64 M M)))
(exp.f64 (*.f64 M (neg.f64 M)))
(pow.f64 (exp.f64 M) (neg.f64 M))
(exp.f64 (*.f64 -1 (pow.f64 M 2)))
(exp.f64 (neg.f64 (*.f64 M M)))
(exp.f64 (*.f64 M (neg.f64 M)))
(pow.f64 (exp.f64 M) (neg.f64 M))
(exp.f64 (*.f64 -1 (pow.f64 M 2)))
(exp.f64 (neg.f64 (*.f64 M M)))
(exp.f64 (*.f64 M (neg.f64 M)))
(pow.f64 (exp.f64 M) (neg.f64 M))
(exp.f64 (*.f64 -1 (pow.f64 M 2)))
(exp.f64 (neg.f64 (*.f64 M M)))
(exp.f64 (*.f64 M (neg.f64 M)))
(pow.f64 (exp.f64 M) (neg.f64 M))
(exp.f64 (*.f64 -1 (pow.f64 M 2)))
(exp.f64 (neg.f64 (*.f64 M M)))
(exp.f64 (*.f64 M (neg.f64 M)))
(pow.f64 (exp.f64 M) (neg.f64 M))
(exp.f64 (*.f64 -1 (pow.f64 M 2)))
(exp.f64 (neg.f64 (*.f64 M M)))
(exp.f64 (*.f64 M (neg.f64 M)))
(pow.f64 (exp.f64 M) (neg.f64 M))

localize31.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (-.f64 (*.f64 M M) l) (-.f64 m n))
✓	0.0b	(-.f64 (*.f64 M M) l)

Compiler

Compiled 54 to 12 computations (77.8% saved)

series10.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Expression
1.0ms	M	@	(-.f64 (*.f64 M M) l)
1.0ms	n	@	(+.f64 (-.f64 (*.f64 M M) l) (-.f64 m n))
1.0ms	M	@	(+.f64 (-.f64 (*.f64 M M) l) (-.f64 m n))
1.0ms	l	@	(+.f64 (-.f64 (*.f64 M M) l) (-.f64 m n))
1.0ms	m	@	(+.f64 (-.f64 (*.f64 M M) l) (-.f64 m n))

rewrite145.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

673×	`fma-def_binary64`
518×	`log-prod_binary64`
358×	`fma-neg_binary64`
304×	`pow2_binary64`
205×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	214	20
2	3395	19

Stop Event

1×	node limit

Counts

2 → 208

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 M M) (neg.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 M M) (*.f64 (neg.f64 l) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 M M) l) (fma.f64 (neg.f64 l) 1 l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 M M) l) (fma.f64 (neg.f64 (cbrt.f64 l)) (pow.f64 (cbrt.f64 l) 2) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 M M) l) (+.f64 (neg.f64 l) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 l) (*.f64 M M))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 M M) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 M M) l))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (*.f64 M M) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 M M) l)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (*.f64 M M) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 M M) l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 M M) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 M M) l)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 M M) l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 M M) l)) 2) (cbrt.f64 (-.f64 (*.f64 M M) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 M (sqrt.f64 (neg.f64 l))) (hypot.f64 M (sqrt.f64 (neg.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 M 6) (pow.f64 l 3)) (/.f64 1 (fma.f64 l (fma.f64 M M l) (pow.f64 M 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 M 4) (*.f64 l l)) (/.f64 1 (fma.f64 M M l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 M (sqrt.f64 l)) (-.f64 M (sqrt.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 l (fma.f64 M M l) (pow.f64 M 4)) (-.f64 (pow.f64 M 6) (pow.f64 l 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 M M l) (-.f64 (pow.f64 M 4) (*.f64 l l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 M 6) (pow.f64 l 3)) (fma.f64 l (fma.f64 M M l) (pow.f64 M 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 M 4) (*.f64 l l)) (fma.f64 M M l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 M 6) (pow.f64 l 3))) (neg.f64 (fma.f64 l (fma.f64 M M l) (pow.f64 M 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 M 4) (*.f64 l l))) (neg.f64 (fma.f64 M M l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 M 6) (pow.f64 (neg.f64 l) 3)) (+.f64 (pow.f64 M 4) (-.f64 (pow.f64 (neg.f64 l) 2) (*.f64 (*.f64 M M) (neg.f64 l)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 M 4) (pow.f64 (neg.f64 l) 2)) (-.f64 (*.f64 M M) (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 M M) l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x 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((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 M M (fma.f64 -1 l m)) n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 M M (fma.f64 -1 l m)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 M M (fma.f64 -1 l m)) n))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 M M))) (exp.f64 (+.f64 (-.f64 l m) n))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (*.f64 M M))) (/.f64 (exp.f64 l) (exp.f64 (-.f64 m n)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (*.f64 (exp.f64 (-.f64 (*.f64 M M) l)) (exp.f64 m)) (exp.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (fma.f64 M M (fma.f64 -1 l m))) (+.f64 1 (expm1.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (*.f64 (exp.f64 (-.f64 (*.f64 M M) l)) (exp.f64 m)) (+.f64 1 (expm1.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 M M) 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 1 (expm1.f64 (-.f64 (*.f64 M M) l))) (+.f64 1 (expm1.f64 (-.f64 m n)))))))) (#(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 1 (expm1.f64 (-.f64 (*.f64 M M) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 m n))) (+.f64 1 (expm1.f64 (-.f64 (*.f64 M M) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 M M (fma.f64 -1 l m))) (exp.f64 (neg.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (*.f64 (exp.f64 (-.f64 (*.f64 M M) l)) (exp.f64 m)) (exp.f64 (neg.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 M M (fma.f64 -1 l m))) (/.f64 1 (exp.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (*.f64 (exp.f64 (-.f64 (*.f64 M M) l)) (exp.f64 m)) (/.f64 1 (exp.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 M M (fma.f64 -1 l m)) n) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 M M (fma.f64 -1 l m)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 M M (fma.f64 -1 l m)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 M M (fma.f64 -1 l m)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 M M (fma.f64 -1 l m)) n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 M M (neg.f64 (+.f64 (-.f64 l m) n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 M M (fma.f64 -1 l (-.f64 m n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 M M) 1 (neg.f64 (+.f64 (-.f64 l m) n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 M M) 1 (fma.f64 -1 l (-.f64 m n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 M M) l) 1 (-.f64 m n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m 1 (fma.f64 -1 n (-.f64 (*.f64 M M) l)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m 1 (neg.f64 (-.f64 n (-.f64 (*.f64 M M) l))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 m n) 1 (-.f64 (*.f64 M M) l))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 M M) (neg.f64 (+.f64 (-.f64 l m) n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 M M) (fma.f64 -1 l (-.f64 m n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (*.f64 M M) l) (-.f64 m n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 m (fma.f64 -1 n (-.f64 (*.f64 M M) l)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 m (neg.f64 (-.f64 n (-.f64 (*.f64 M M) l))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 m n) (-.f64 (*.f64 M M) l))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 M M (fma.f64 -1 l m)) (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 m n)) (pow.f64 (cbrt.f64 (-.f64 m n)) 2) (-.f64 (*.f64 M M) l))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 m n)) 2) (cbrt.f64 (-.f64 m n)) (-.f64 (*.f64 M M) l))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (*.f64 M M) l)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 M M) l)) 2) (-.f64 m n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 M M) l)) 2) (cbrt.f64 (-.f64 (*.f64 M M) l)) (-.f64 m n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 m) (cbrt.f64 (*.f64 m m)) (fma.f64 -1 n (-.f64 (*.f64 M M) l)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 m) (cbrt.f64 (*.f64 m m)) (neg.f64 (-.f64 n (-.f64 (*.f64 M M) l))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 m m)) (cbrt.f64 m) (fma.f64 -1 n (-.f64 (*.f64 M M) l)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 m m)) (cbrt.f64 m) (neg.f64 (-.f64 n (-.f64 (*.f64 M M) l))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 M) 2) (pow.f64 (cbrt.f64 M) 4) (neg.f64 (+.f64 (-.f64 l m) n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 M) 2) (pow.f64 (cbrt.f64 M) 4) (fma.f64 -1 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 (-.f64 l m) n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 M) 2) (*.f64 (cbrt.f64 M) M) (fma.f64 -1 l (-.f64 m n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 M) 4) (pow.f64 (cbrt.f64 M) 2) (neg.f64 (+.f64 (-.f64 l m) n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 M) 4) (pow.f64 (cbrt.f64 M) 2) (fma.f64 -1 l (-.f64 m n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 m n)) (sqrt.f64 (-.f64 m n)) (-.f64 (*.f64 M M) l))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 M (sqrt.f64 (neg.f64 l))) (hypot.f64 M (sqrt.f64 (neg.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 (-.f64 l m) n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 M) (*.f64 (sqrt.f64 M) M) (fma.f64 -1 l (-.f64 m n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 m) (sqrt.f64 m) (fma.f64 -1 n (-.f64 (*.f64 M M) l)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 m) (sqrt.f64 m) (neg.f64 (-.f64 n (-.f64 (*.f64 M M) l))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 M 6) (pow.f64 l 3)) (/.f64 1 (fma.f64 l (fma.f64 M M l) (pow.f64 M 4))) (-.f64 m n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 m 3) (pow.f64 n 3)) (/.f64 1 (fma.f64 n (+.f64 m n) (*.f64 m m))) (-.f64 (*.f64 M M) l))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 M 4) (*.f64 l l)) (/.f64 1 (fma.f64 M M l)) (-.f64 m n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 m m) (*.f64 n n)) (/.f64 1 (+.f64 m n)) (-.f64 (*.f64 M M) l))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 M (sqrt.f64 M)) (sqrt.f64 M) (neg.f64 (+.f64 (-.f64 l m) n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 M (sqrt.f64 M)) (sqrt.f64 M) (fma.f64 -1 l (-.f64 m n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 M M (fma.f64 -1 l m))) 2) (cbrt.f64 (fma.f64 M M (fma.f64 -1 l m))) (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 M M (fma.f64 -1 l m))) (sqrt.f64 (fma.f64 M M (fma.f64 -1 l m))) (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 m) (sqrt.f64 n)) (-.f64 (sqrt.f64 m) (sqrt.f64 n)) (-.f64 (*.f64 M M) l))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 M (sqrt.f64 l)) (-.f64 M (sqrt.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 (-.f64 l m) n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 M (pow.f64 (cbrt.f64 M) 2)) (cbrt.f64 M) (fma.f64 -1 l (-.f64 m n)))))))

simplify193.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1828×	`fma-neg_binary64`
801×	`unsub-neg_binary64`
434×	`unswap-sqr_binary64`
316×	`distribute-rgt-neg-in_binary64`
284×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	692
1	64	598
2	142	598
3	288	598
4	565	598
5	1183	598
6	2722	598
7	4410	598
8	5365	598
9	6890	598
10	7482	598
11	7976	598

Stop Event

1×	node limit

Counts

280 → 229

Calls

Call 1

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

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

localize33.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 41 to 11 computations (73.2% saved)

series13.0ms (0.1%)

Counts

1 → 20

Calls

12 calls:

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

rewrite104.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

562×	`log-prod_binary64`
409×	`fma-def_binary64`
367×	`pow-prod-down_binary64`
312×	`pow2_binary64`
215×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	238	14
2	3420	14

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

Inputs
(*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (cos.f64 M))

Outputs

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

simplify95.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

667×	`fma-neg_binary64`
575×	`cancel-sign-sub-inv_binary64`
384×	`*-commutative_binary64`
368×	`unswap-sqr_binary64`
341×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	70	559
1	190	530
2	490	458
3	1796	414
4	4402	398

Stop Event

1×	node limit

Counts

39 → 39

Calls

Call 1

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

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

eval416.0ms (2.3%)

Compiler: Compiled 15038 to 7932 computations (47.3% saved)

prune125.0ms (0.7%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	657	8	665
Fresh	8	7	15
Picked	1	0	1
Done	2	2	4
Total	668	17	685

Error

0.9b

Counts

685 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	59.5b	(cos.f64 (.f64 m (.f64 K 1/2)))
	59.3b	(cos.f64 M)
✓	27.3b	(.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M))))
	60.3b	(cos.f64 (expm1.f64 (log1p.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))))
	51.6b	(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l))
	32.3b	(*.f64 (cos.f64 M) (exp.f64 (neg.f64 n)))
	53.1b	(.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	(pow.f64 (sqrt.f64 (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))) 2)
✓	59.5b	(cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
	59.8b	(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
	59.6b	(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))))))
	46.1b	(/.f64 (cos.f64 M) (exp.f64 l))
	10.5b	(.f64 (cos.f64 M) (exp.f64 (fma.f64 (.f64 n n) -1/4 (neg.f64 (-.f64 l (-.f64 m n))))))
	33.7b	(*.f64 (cos.f64 M) (exp.f64 m))
	37.0b	(sqrt.f64 (pow.f64 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) (exp.f64 (+.f64 (-.f64 m n) (-.f64 (.f64 M M) l)))) 2))
	50.1b	(sqrt.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 (+.f64 m n) (.f64 K 1/2) (neg.f64 M))) (exp.f64 l)) 2))
	31.7b	(.f64 (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (+.f64 m n) (.f64 K 1/2) (neg.f64 M))) 2)) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))

Compiler

Compiled 291 to 219 computations (24.7% saved)

regimes172.0ms (1%)

Counts

46 → 1

Calls

Call 1

Inputs
(cos.f64 M)
(cos.f64 (.f64 m (.f64 K 1/2)))
(cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(*.f64 (cos.f64 M) (exp.f64 m))
(/.f64 (cos.f64 M) (exp.f64 l))
(*.f64 (cos.f64 M) (exp.f64 (neg.f64 n)))
(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l))
(.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 (.f64 K (*.f64 n 1/2))) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (.f64 K (*.f64 m 1/2))) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 (.f64 M M) l) (-.f64 m n))))
(.f64 (cos.f64 (.f64 K (.f64 m 1/2))) (exp.f64 (.f64 n (*.f64 n -1/4))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (*.f64 M (neg.f64 M))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (fma.f64 -1/4 (*.f64 n n) 1))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (.f64 n (.f64 n -1/4))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (+.f64 (-.f64 (*.f64 M M) l) (-.f64 m n))))
(.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)))
(cos.f64 (expm1.f64 (log1p.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))))
(*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (cos.f64 M))
(pow.f64 (sqrt.f64 (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))) 2)
(+.f64 0 (.f64 (cos.f64 (fma.f64 (+.f64 m n) (.f64 K 1/2) (neg.f64 M))) (exp.f64 l)))
(.f64 (cos.f64 M) (exp.f64 (fma.f64 (.f64 n n) -1/4 (neg.f64 (-.f64 l (-.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 (neg.f64 (.f64 n (*.f64 n 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (.f64 K (.f64 m 1/2))) (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 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 m (.f64 m 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 n (.f64 n 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.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 n (.f64 n 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(sqrt.f64 (pow.f64 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) (exp.f64 (+.f64 (-.f64 m n) (-.f64 (.f64 M M) l)))) 2))
(.f64 (cos.f64 (.f64 K (*.f64 m 1/2))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.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 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(sqrt.f64 (pow.f64 (.f64 (cos.f64 (fma.f64 (+.f64 m n) (.f64 K 1/2) (neg.f64 M))) (exp.f64 l)) 2))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 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 m n) (.f64 K 1/2) (neg.f64 M))) 2)) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 K (*.f64 m 1/2))) 3)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (cos.f64 (.f64 1/2 (*.f64 K m))) 3)) 1)) (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 m n) (.f64 K 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 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))))))

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:

35.0ms	K
29.0ms	l
28.0ms	m
26.0ms	M
24.0ms	n

Results

Error	Segments	Branch
1.0b	1	`K`
1.0b	1	`m`
1.0b	1	`n`
1.0b	1	`M`
1.0b	1	`l`
1.0b	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 846 to 409 computations (51.7% saved)

regimes402.0ms (2.3%)

Counts

34 → 3

Calls

Call 1

Inputs
(cos.f64 M)
(cos.f64 (.f64 m (.f64 K 1/2)))
(cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(*.f64 (cos.f64 M) (exp.f64 m))
(/.f64 (cos.f64 M) (exp.f64 l))
(*.f64 (cos.f64 M) (exp.f64 (neg.f64 n)))
(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l))
(.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 (.f64 K (*.f64 n 1/2))) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (.f64 K (*.f64 m 1/2))) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 (.f64 M M) l) (-.f64 m n))))
(.f64 (cos.f64 (.f64 K (.f64 m 1/2))) (exp.f64 (.f64 n (*.f64 n -1/4))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (*.f64 M (neg.f64 M))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (fma.f64 -1/4 (*.f64 n n) 1))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (.f64 n (.f64 n -1/4))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (+.f64 (-.f64 (*.f64 M M) l) (-.f64 m n))))
(.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)))
(cos.f64 (expm1.f64 (log1p.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))))
(*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (cos.f64 M))
(pow.f64 (sqrt.f64 (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))) 2)
(+.f64 0 (.f64 (cos.f64 (fma.f64 (+.f64 m n) (.f64 K 1/2) (neg.f64 M))) (exp.f64 l)))
(.f64 (cos.f64 M) (exp.f64 (fma.f64 (.f64 n n) -1/4 (neg.f64 (-.f64 l (-.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 (neg.f64 (.f64 n (*.f64 n 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (.f64 K (.f64 m 1/2))) (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 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 m (.f64 m 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 n (.f64 n 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.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 n (.f64 n 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))))

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

Calls

5 calls:

156.0ms	m
107.0ms	n
50.0ms	M
39.0ms	K
35.0ms	l

Results

Error	Segments	Branch
10.5b	1	`K`
6.0b	3	`m`
7.4b	3	`n`
1.9b	3	`M`
8.5b	2	`l`

Compiler

Compiled 495 to 232 computations (53.1% saved)

bsearch164.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
85.0ms	7.3371011516128725e-6	302.6231573377966
78.0ms	-5.617151015528872e+37	-2.989544810023461e+34

Compiler

Compiled 42 to 30 computations (28.6% saved)

regimes711.0ms (4%)

Counts

25 → 3

Calls

Call 1

Inputs
(cos.f64 M)
(cos.f64 (.f64 m (.f64 K 1/2)))
(cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(*.f64 (cos.f64 M) (exp.f64 m))
(/.f64 (cos.f64 M) (exp.f64 l))
(*.f64 (cos.f64 M) (exp.f64 (neg.f64 n)))
(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l))
(.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 (.f64 K (*.f64 n 1/2))) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (.f64 K (*.f64 m 1/2))) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 (.f64 M M) l) (-.f64 m n))))
(.f64 (cos.f64 (.f64 K (.f64 m 1/2))) (exp.f64 (.f64 n (*.f64 n -1/4))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (*.f64 M (neg.f64 M))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (fma.f64 -1/4 (*.f64 n n) 1))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (.f64 n (.f64 n -1/4))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (+.f64 (-.f64 (*.f64 M M) l) (-.f64 m n))))
(.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)))
(cos.f64 (expm1.f64 (log1p.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))))
(*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (cos.f64 M))
(pow.f64 (sqrt.f64 (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))) 2)
(+.f64 0 (.f64 (cos.f64 (fma.f64 (+.f64 m n) (.f64 K 1/2) (neg.f64 M))) (exp.f64 l)))

Outputs
(.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M))))
(.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 (.f64 M M) l) (-.f64 m n))))
(.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M))))

Calls

5 calls:

214.0ms	K
214.0ms	l
106.0ms	m
81.0ms	M
78.0ms	n

Results

Error	Segments	Branch
20.2b	7	`K`
8.7b	3	`m`
9.7b	3	`n`
2.9b	3	`M`
13.0b	8	`l`

Compiler

Compiled 306 to 164 computations (46.4% saved)

bsearch175.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
92.0ms	5.241555026645064e-21	4.074999741103479e-15
83.0ms	-5.617151015528872e+37	-2.989544810023461e+34

Compiler

Compiled 42 to 30 computations (28.6% saved)

regimes429.0ms (2.4%)

Counts

13 → 3

Calls

Call 1

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

Outputs
(*.f64 (cos.f64 M) (exp.f64 m))
(.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M))))
(*.f64 (cos.f64 M) (exp.f64 (neg.f64 n)))

Calls

5 calls:

123.0ms	l
107.0ms	K
77.0ms	M
65.0ms	m
49.0ms	n

Results

Error	Segments	Branch
21.8b	7	`K`
8.7b	3	`m`
9.7b	3	`n`
10.6b	5	`M`
15.0b	8	`l`

Compiler

Compiled 127 to 79 computations (37.8% saved)

bsearch155.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
82.0ms	1.3900689800008523e-286	7.112757344999177e-284
73.0ms	-1020684966009869.0	-134220507216856.03

Compiler

Compiled 42 to 30 computations (28.6% saved)

regimes238.0ms (1.3%)

Counts

9 → 2

Calls

Call 1

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

Outputs
(*.f64 (cos.f64 M) (exp.f64 m))
(*.f64 (cos.f64 M) (exp.f64 (neg.f64 n)))

Calls

5 calls:

96.0ms	K
76.0ms	l
25.0ms	m
21.0ms	M
14.0ms	n

Results

Error	Segments	Branch
26.9b	7	`K`
13.5b	2	`m`
13.5b	2	`n`
28.4b	3	`M`
17.7b	10	`l`

Compiler

Compiled 90 to 60 computations (33.3% saved)

bsearch96.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
95.0ms	-85.92356779249137	-0.005173072261623094

Compiler

Compiled 42 to 30 computations (28.6% saved)

regimes81.0ms (0.5%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

5 calls:

21.0ms	l
20.0ms	m
12.0ms	n
11.0ms	K
11.0ms	M

Results

Error	Segments	Branch
33.7b	1	`K`
25.4b	2	`m`
33.7b	1	`n`
33.7b	1	`M`
25.5b	2	`l`

Compiler

Compiled 71 to 50 computations (29.6% saved)

bsearch81.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
81.0ms	-134220507216856.03	-85.92356779249137

Compiler

Compiled 42 to 30 computations (28.6% saved)

regimes56.0ms (0.3%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(*.f64 (cos.f64 M) (exp.f64 m))

Calls

5 calls:

11.0ms	M
10.0ms	K
10.0ms	m
10.0ms	n
10.0ms	l

Results

Error	Segments	Branch
33.7b	1	`K`
33.7b	1	`m`
33.7b	1	`n`
33.7b	1	`M`
33.7b	1	`l`

Compiler

Compiled 66 to 48 computations (27.3% saved)

regimes50.0ms (0.3%)

Accuracy

Total -0.5b remaining (-0.9%)

Threshold costs -0.5b (-0.9%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(cos.f64 M)

Calls

5 calls:

10.0ms	m
9.0ms	l
9.0ms	M
9.0ms	K
9.0ms	n

Results

Error	Segments	Branch
59.3b	1	`K`
59.3b	1	`m`
59.3b	1	`n`
59.3b	1	`M`
59.3b	1	`l`

Compiler

Compiled 61 to 46 computations (24.6% saved)

simplify35.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

34×	`cancel-sign-sub-inv_binary64`
30×	`sub-neg_binary64`
25×	`+-commutative_binary64`
25×	`neg-sub0_binary64`
25×	`neg-mul-1_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	252
1	96	252
2	130	252
3	177	248
4	238	248
5	270	248
6	291	248
7	313	248
8	336	248
9	353	248
10	359	248

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 M -56171510155288717383894582421289435136) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))) (if (<=.f64 M 4331060069975113/590295810358705651712) (.f64 (cos.f64 M) (exp.f64 (fma.f64 (.f64 n n) -1/4 (neg.f64 (-.f64 l (-.f64 m n)))))) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M))))))
(if (<=.f64 M -56171510155288717383894582421289435136) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))) (if (<=.f64 M 3483610841431885/664613997892457936451903530140172288) (.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 (.f64 M M) l) (-.f64 m n)))) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M))))))
(if (<=.f64 m -1020684966009869) (.f64 (cos.f64 M) (exp.f64 m)) (if (<=.f64 m 2978941753307097/21430172143725346418968500981200036211228096234110672148875007767407021022498722449863967576313917162551893458351062936503742905713846280871969155149397149607869135549648461970842149210124742283755908364306092949967163882534797535118331087892154125829142392955373084335320859663305248773674411336138752) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))) (.f64 (cos.f64 M) (exp.f64 (neg.f64 n)))))
(if (<=.f64 m -6046333560821995/70368744177664) (.f64 (cos.f64 M) (exp.f64 m)) (.f64 (cos.f64 M) (exp.f64 (neg.f64 n))))
(if (<=.f64 m -4295056230939393/32) (*.f64 (cos.f64 M) (exp.f64 m)) (/.f64 (cos.f64 M) (exp.f64 l)))
(*.f64 (cos.f64 M) (exp.f64 m))
(cos.f64 M)

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 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(if (<=.f64 M -56171510155288717383894582421289435136) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))) (if (<=.f64 M 4331060069975113/590295810358705651712) (.f64 (cos.f64 M) (exp.f64 (fma.f64 (.f64 n n) -1/4 (neg.f64 (-.f64 l (-.f64 m n)))))) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M))))))
(if (<=.f64 M -56171510155288717383894582421289435136) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))) (if (<=.f64 M 4331060069975113/590295810358705651712) (.f64 (cos.f64 M) (exp.f64 (fma.f64 (.f64 n n) -1/4 (+.f64 (-.f64 m n) (neg.f64 l))))) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M))))))
(if (<=.f64 M -56171510155288717383894582421289435136) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))) (if (<=.f64 M 4331060069975113/590295810358705651712) (.f64 (cos.f64 M) (exp.f64 (fma.f64 (.f64 n n) -1/4 (-.f64 (-.f64 m n) l)))) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M))))))
(if (<=.f64 M -56171510155288717383894582421289435136) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))) (if (<=.f64 M 3483610841431885/664613997892457936451903530140172288) (.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 (.f64 M M) l) (-.f64 m n)))) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M))))))
(if (<=.f64 M -56171510155288717383894582421289435136) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))) (if (<=.f64 M 3483610841431885/664613997892457936451903530140172288) (.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 m n) (-.f64 (.f64 M M) l)))) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M))))))
(if (<=.f64 m -1020684966009869) (.f64 (cos.f64 M) (exp.f64 m)) (if (<=.f64 m 2978941753307097/21430172143725346418968500981200036211228096234110672148875007767407021022498722449863967576313917162551893458351062936503742905713846280871969155149397149607869135549648461970842149210124742283755908364306092949967163882534797535118331087892154125829142392955373084335320859663305248773674411336138752) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))) (.f64 (cos.f64 M) (exp.f64 (neg.f64 n)))))
(if (<=.f64 m -6046333560821995/70368744177664) (.f64 (cos.f64 M) (exp.f64 m)) (.f64 (cos.f64 M) (exp.f64 (neg.f64 n))))
(if (<=.f64 m -4295056230939393/32) (*.f64 (cos.f64 M) (exp.f64 m)) (/.f64 (cos.f64 M) (exp.f64 l)))
(*.f64 (cos.f64 M) (exp.f64 m))
(cos.f64 M)

Compiler

Compiled 198 to 125 computations (36.9% saved)

soundness63.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

712×	`fma-def_binary64`
643×	`distribute-rgt-neg-out_binary64`
575×	`distribute-lft-neg-out_binary64`
386×	`*-commutative_binary64`
343×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	139	2669
1	417	2628
2	1279	2506
3	4088	2506

Stop Event

1×	node limit

Compiler

Compiled 15 to 13 computations (13.3% saved)

end65.0ms (0.4%)

Remove: (sort m n)
Compiler: Compiled 213 to 100 computations (53.1% saved)

Iter	Nodes	Cost
0	64	252
1	96	252
2	130	252
3	177	248
4	238	248
5	270	248
6	291	248
7	313	248
8	336	248
9	353	248
10	359	248

Iter	Nodes	Cost
0	64	252
1	96	252
2	130	252
3	177	248
4	238	248
5	270	248
6	291	248
7	313	248
8	336	248
9	353	248
10	359	248

Iter	Nodes	Cost
0	64	252
1	96	252
2	130	252
3	177	248
4	238	248
5	270	248
6	291	248
7	313	248
8	336	248
9	353	248
10	359	248