Details

analyze813.0ms (4.4%)

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)

sample2.2s (11.8%)

Results

1.9s	8113×	body	256	valid
88.0ms	353×	body	256	infinite
58.0ms	90×	body	1024	infinite
55.0ms	79×	body	1024	valid
41.0ms	93×	body	512	infinite
27.0ms	63×	body	512	valid
18.0ms	20×	body	2048	infinite
1.0ms	1×	body	2048	valid

Bogosity

preprocess89.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	154	495
1	433	495
2	1050	473
3	3771	473
0	5	5
1	5	5

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1
2
3
4

Outputs
0
1
2
1
3
4

Call 2

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

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

Symmetry

(sort m n)

Compiler

Compiled 39 to 28 computations (28.2% saved)

simplify63.0ms (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))))

eval2.0ms (0%)

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

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

16.1b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.1b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))

Compiler

Compiled 34 to 23 computations (32.4% saved)

localize98.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)
✓	0.0b	(*.f64 K (+.f64 m n))
✓	0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
✓	34.9b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

Compiler

Compiled 153 to 64 computations (58.2% saved)

series42.0ms (0.2%)

Counts

4 → 168

Calls

42 calls:

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

rewrite169.0ms (0.9%)

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

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

simplify100.0ms (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 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 n K)
(+.f64 (.f64 n K) (.f64 K m))
(+.f64 (.f64 n K) (.f64 K m))
(+.f64 (.f64 n K) (.f64 K m))
(*.f64 K m)
(+.f64 (.f64 n K) (.f64 K m))
(+.f64 (.f64 n K) (.f64 K m))
(+.f64 (.f64 n K) (.f64 K m))
(*.f64 K m)
(+.f64 (.f64 n K) (.f64 K m))
(+.f64 (.f64 n K) (.f64 K m))
(+.f64 (.f64 n K) (.f64 K m))
(*.f64 K m)
(+.f64 (.f64 n K) (.f64 K m))
(+.f64 (.f64 n K) (.f64 K m))
(+.f64 (.f64 n K) (.f64 K m))
(*.f64 n K)
(+.f64 (.f64 n K) (.f64 K m))
(+.f64 (.f64 n K) (.f64 K m))
(+.f64 (.f64 n K) (.f64 K m))
(*.f64 n K)
(+.f64 (.f64 n K) (.f64 K m))
(+.f64 (.f64 n K) (.f64 K m))
(+.f64 (.f64 n K) (.f64 K m))
(*.f64 -1 M)
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(.f64 1/2 (.f64 K (+.f64 n m)))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(.f64 1/2 (.f64 K (+.f64 n m)))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(-.f64 (.f64 1/2 (.f64 n K)) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(.f64 1/2 (.f64 K m))
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(.f64 1/2 (.f64 K m))
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (.f64 1/2 (.f64 K m)) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(.f64 1/2 (.f64 n K))
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(.f64 1/2 (.f64 n K))
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(.f64 1/2 (.f64 K (+.f64 n m)))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(*.f64 -1 M)
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(*.f64 -1 M)
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))

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

eval282.0ms (1.5%)

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

prune229.0ms (1.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	308	12	320
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	309	12	321

Error

1.4b

Counts

321 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	11.0b	(.f64 (cos.f64 (.f64 K (*.f64 n 1/2))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	34.0b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (.f64 n (.f64 n 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	34.6b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	1.6b	(*.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	16.1b	(.f64 (log.f64 (exp.f64 (cos.f64 (fma.f64 (+.f64 m n) (.f64 K 1/2) (neg.f64 M))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	40.6b	(.f64 (cos.f64 (-.f64 (/.f64 (fma.f64 (.f64 m (sqrt.f64 K)) (sqrt.f64 K) (*.f64 K 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))))))
▶	39.5b	(.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))))))
	16.1b	(.f64 (cos.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 m n) (.f64 K 1/2) (neg.f64 M))) 3)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	11.9b	(.f64 (-.f64 (cos.f64 M) (.f64 (.f64 -1/2 K) (.f64 (+.f64 n m) (sin.f64 M)))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	16.1b	(.f64 (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 (+.f64 m n) (.f64 K 1/2) (neg.f64 M)))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	37.6b	(.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 K (+.f64 m n))) 2) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	36.5b	(.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))))))

Compiler

Compiled 820 to 570 computations (30.5% saved)

localize43.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 115 to 51 computations (55.7% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite82.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

416×	`log1p-udef_binary64`
274×	`associate-r_binary64`
272×	`pow1_binary64`
262×	`add-sqr-sqrt_binary64`
257×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	58	3
2	673	3
3	7412	3

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

Inputs
(cos.f64 M)

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

Outputs

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

simplify140.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1583×	`fma-def_binary64`
726×	`sqr-pow_binary64`
414×	`cube-prod_binary64`
375×	`*-commutative_binary64`
328×	`pow-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	52
1	47	48
2	107	46
3	312	46
4	1139	46
5	2896	46
6	3481	46
7	3711	46
8	3906	46
9	4157	46
10	4472	46
11	5779	46
12	6214	46
13	6705	46
14	7310	46
15	7568	46
16	7818	46

Stop Event

1×	node limit

Counts

53 → 56

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 M 2)))
(+.f64 (.f64 1/24 (pow.f64 M 4)) (+.f64 1 (.f64 -1/2 (pow.f64 M 2))))
(+.f64 (.f64 1/24 (pow.f64 M 4)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 M 2)) (*.f64 -1/720 (pow.f64 M 6)))))

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

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))
	0.0b	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)
	0.0b	(*.f64 K (+.f64 m n))
	34.9b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

Compiler

Compiled 111 to 29 computations (73.9% saved)

series5.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	l	@	0	(-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))
1.0ms	M	@	0	(-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))
0.0ms	M	@	inf	(-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))
0.0ms	n	@	-inf	(-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))
0.0ms	m	@	0	(-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))

rewrite86.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

757×	`fma-def_binary64`
577×	`log-prod_binary64`
382×	`fma-neg_binary64`
213×	`pow1/3_binary64`
213×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	261	13
2	4183	13

Stop Event

1×	node limit

Counts

1 → 160

Calls

Call 1

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

simplify128.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

929×	`fma-neg_binary64`
532×	`unswap-sqr_binary64`
472×	`fma-def_binary64`
413×	`distribute-rgt-neg-in_binary64`
290×	`neg-sub0_binary64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	29	669
1	78	585
2	143	585
3	291	585
4	590	585
5	1308	585
6	2304	585
7	4368	585
8	5753	579
9	6675	579
10	7233	579
11	7811	579

Stop Event

1×	node limit

Counts

208 → 174

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)))

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

localize45.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)
	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))))
	34.9b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

Compiler

Compiled 125 to 52 computations (58.4% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	n	@	inf	(-.f64 (neg.f64 (.f64 n (.f64 n 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))
1.0ms	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	l	@	0	(-.f64 (neg.f64 (.f64 n (.f64 n 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))
0.0ms	n	@	-inf	(-.f64 (neg.f64 (.f64 n (.f64 n 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))

rewrite148.0ms (0.8%)

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

simplify118.0ms (0.6%)

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))

localize142.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.7b	(-.f64 (.f64 m m) (.f64 n n))
✓	8.1b	(.f64 (-.f64 (.f64 m m) (*.f64 n n)) K)
✓	15.8b	(/.f64 (.f64 (-.f64 (.f64 m m) (*.f64 n n)) K) (-.f64 m n))
✓	34.9b	(cos.f64 (-.f64 (/.f64 (/.f64 (.f64 (-.f64 (.f64 m m) (*.f64 n n)) K) (-.f64 m n)) 2) M))

Compiler

Compiled 215 to 68 computations (68.4% saved)

series45.0ms (0.2%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Expression
24.0ms	m	@	(/.f64 (.f64 (-.f64 (.f64 m m) (*.f64 n n)) K) (-.f64 m n))
3.0ms	M	@	(cos.f64 (-.f64 (/.f64 (/.f64 (.f64 (-.f64 (.f64 m m) (*.f64 n n)) K) (-.f64 m n)) 2) M))
1.0ms	K	@	(cos.f64 (-.f64 (/.f64 (/.f64 (.f64 (-.f64 (.f64 m m) (*.f64 n n)) K) (-.f64 m n)) 2) M))
1.0ms	K	@	(/.f64 (.f64 (-.f64 (.f64 m m) (*.f64 n n)) K) (-.f64 m n))
1.0ms	m	@	(cos.f64 (-.f64 (/.f64 (/.f64 (.f64 (-.f64 (.f64 m m) (*.f64 n n)) K) (-.f64 m n)) 2) M))

rewrite194.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

797×	`fma-def_binary64`
363×	`fma-neg_binary64`
329×	`expm1-udef_binary64`
329×	`log1p-udef_binary64`
192×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	69
1	359	45
2	5478	45

Stop Event

1×	node limit

Counts

4 → 312

Calls

Call 1

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

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

simplify222.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

797×	`associate-r_binary64`
780×	`associate-l_binary64`
483×	`fma-def_binary64`
432×	`times-frac_binary64`
389×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	124	2893
1	367	2769
2	1190	2651
3	7108	2648

Stop Event

1×	node limit

Counts

456 → 369

Calls

Call 1

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

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

localize55.0ms (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)
✓	0.2b	(pow.f64 (sqrt.f64 (*.f64 K (+.f64 m n))) 2)
✓	8.1b	(sqrt.f64 (*.f64 K (+.f64 m n)))
✓	18.5b	(cos.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 K (+.f64 m n))) 2) 2) M))

Compiler

Compiled 179 to 75 computations (58.1% saved)

series24.0ms (0.1%)

Counts

3 → 64

Calls

30 calls:

Time	Variable		Point	Expression
3.0ms	K	@	0	(pow.f64 (sqrt.f64 (*.f64 K (+.f64 m n))) 2)
2.0ms	n	@	inf	(pow.f64 (sqrt.f64 (*.f64 K (+.f64 m n))) 2)
2.0ms	m	@	inf	(pow.f64 (sqrt.f64 (*.f64 K (+.f64 m n))) 2)
1.0ms	K	@	0	(sqrt.f64 (*.f64 K (+.f64 m n)))
1.0ms	K	@	-inf	(pow.f64 (sqrt.f64 (*.f64 K (+.f64 m n))) 2)

rewrite124.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 170

Calls

Call 1

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

Outputs

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

simplify168.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

234 → 231

Calls

Call 1

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

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

eval1.1s (6%)

Compiler: Compiled 59134 to 24937 computations (57.8% saved)

prune383.0ms (2.1%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	1570	25	1595
Fresh	7	0	7
Picked	1	0	1
Done	4	0	4
Total	1582	25	1607

Error

1.4b

Counts

1607 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	28.6b	(.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	37.6b	(.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (exp.f64 (.f64 (log.f64 (*.f64 K (+.f64 m n))) 1/2)) 2) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	40.3b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (+.f64 (-.f64 (*.f64 M M) l) (-.f64 m n))))
	24.0b	(.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 n (*.f64 n 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))))
	53.7b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))
	44.8b	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (.f64 (-.f64 (.f64 m m) (.f64 n n)) K) (-.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	32.7b	(.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	34.4b	(.f64 (-.f64 (cos.f64 M) (.f64 (.f64 -1/2 K) (.f64 (+.f64 n m) (sin.f64 M)))) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	16.1b	(.f64 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 m n) 1/2)) M)))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	27.2b	(.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 m (*.f64 m 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))))
	43.2b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (+.f64 (.f64 n (.f64 n 1/4)) (neg.f64 (-.f64 l (-.f64 m n))))))
	35.9b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (.f64 n (.f64 n -1/4))))
	16.1b	(.f64 (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)))) (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	48.4b	(.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 K (+.f64 m n))) 2) 2) M)) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	33.2b	(.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (exp.f64 (-.f64 (neg.f64 (.f64 n (*.f64 n 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))))
	22.9b	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (.f64 (*.f64 m m) 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))))))
	61.8b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (*.f64 M M)))
	39.5b	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 (.f64 m m) (.f64 n n)) K)) 3) (-.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))))))
	50.3b	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (pow.f64 (.f64 (-.f64 (.f64 m m) (.f64 n n)) K) 3) 1/3) (-.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))))))
	50.6b	(.f64 (cos.f64 (-.f64 (/.f64 (fma.f64 (.f64 m (sqrt.f64 K)) (sqrt.f64 K) (.f64 K n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	34.0b	(.f64 (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 (+.f64 m n) (.f64 K 1/2) (neg.f64 M)))))) (exp.f64 (-.f64 (neg.f64 (.f64 n (.f64 n 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	49.1b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l)))
	34.6b	(.f64 (cos.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 m n) (.f64 K 1/2) (neg.f64 M))) 3)) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	45.2b	(.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (.f64 K m)) (.f64 1/2 (.f64 n (sqrt.f64 (/.f64 K m))))) 2) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	34.6b	(.f64 (log.f64 (exp.f64 (cos.f64 (fma.f64 (+.f64 m n) (.f64 K 1/2) (neg.f64 M))))) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))

Compiler

Compiled 1614 to 1116 computations (30.9% saved)

localize132.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))))
✓	0.1b	(exp.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)))
✓	0.8b	(log.f64 (sqrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)))))
✓	34.9b	(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))

Compiler

Compiled 234 to 120 computations (48.7% saved)

series508.0ms (2.7%)

Counts

4 → 192

Calls

48 calls:

Time	Variable		Point	Expression
128.0ms	m	@	0	(sqrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))))
123.0ms	M	@	-inf	(log.f64 (sqrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)))))
79.0ms	m	@	inf	(log.f64 (sqrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)))))
41.0ms	K	@	inf	(log.f64 (sqrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)))))
25.0ms	m	@	-inf	(log.f64 (sqrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)))))

rewrite102.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

739×	`log-prod_binary64`
474×	`fma-def_binary64`
278×	`pow1/3_binary64`
277×	`expm1-udef_binary64`
277×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	72
1	300	69
2	4042	69

Stop Event

1×	node limit

Counts

4 → 151

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (fma.f64 (+.f64 m n) (.f64 1/2 K) (neg.f64 M))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (cos.f64 (fma.f64 (+.f64 m n) (.f64 1/2 K) (neg.f64 M)))) (.f64 1/2 (cos.f64 (fma.f64 (+.f64 m n) (.f64 1/2 K) (neg.f64 M)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (cos.f64 M)) (.f64 (sin.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (sin.f64 M)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (sin.f64 M)) (.f64 (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (cos.f64 M)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/3 (cos.f64 (fma.f64 (+.f64 m n) (.f64 1/2 K) (neg.f64 M)))) (.f64 2 (.f64 1/3 (cos.f64 (fma.f64 (+.f64 m n) (.f64 1/2 K) (neg.f64 M))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/3 (cos.f64 (fma.f64 (+.f64 m n) (.f64 1/2 K) (neg.f64 M)))) (log.f64 (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (+.f64 m n) (.f64 1/2 K) (neg.f64 M)))))) (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (+.f64 m n) (.f64 1/2 K) (neg.f64 M))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (fma.f64 (+.f64 m n) (.f64 1/2 K) (neg.f64 M))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/4 (cos.f64 (fma.f64 (+.f64 m n) (.f64 1/2 K) (neg.f64 M)))) (log.f64 (.f64 (pow.f64 (exp.f64 (cos.f64 (fma.f64 (+.f64 m n) (.f64 1/2 K) (neg.f64 M)))) 1/4) (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (+.f64 m n) (.f64 1/2 K) (neg.f64 M))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (.f64 1/3 (cos.f64 (fma.f64 (+.f64 m n) (.f64 1/2 K) (neg.f64 M))))) (.f64 1/3 (cos.f64 (fma.f64 (+.f64 m n) (.f64 1/2 K) (neg.f64 M)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (cos.f64 M)) 1) (.f64 (.f64 (sin.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (sin.f64 M)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 m n) (.f64 1/2 K) (neg.f64 M))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 m n) (.f64 1/2 K) (neg.f64 M))))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (/.f64 (.f64 (pow.f64 (.f64 K (+.f64 m n)) 3) 1/8) (fma.f64 M (fma.f64 K (.f64 (+.f64 m n) 1/2) M) (pow.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) 2)))) (cos.f64 (/.f64 (pow.f64 M 3) (fma.f64 M (fma.f64 K (.f64 (+.f64 m n) 1/2) M) (pow.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) 2))))) (.f64 (sin.f64 (/.f64 (.f64 (pow.f64 (.f64 K (+.f64 m n)) 3) 1/8) (fma.f64 M (fma.f64 K (.f64 (+.f64 m n) 1/2) M) (pow.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) 2)))) (sin.f64 (/.f64 (pow.f64 M 3) (fma.f64 M (fma.f64 K (.f64 (+.f64 m n) 1/2) M) (pow.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (/.f64 (pow.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) 2) (fma.f64 K (.f64 (+.f64 m n) 1/2) M))) (cos.f64 (/.f64 (.f64 M M) (fma.f64 K 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simplify195.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

705×	`associate-r_binary64`
517×	`fma-def_binary64`
513×	`associate-l_binary64`
440×	`*-commutative_binary64`
438×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	459	9543
1	1536	9004
2	5982	8855

Stop Event

1×	node limit

Counts

343 → 299

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

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

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)
	0.0b	(*.f64 K (+.f64 m n))
✓	0.0b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l)))
	34.9b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

Compiler

Compiled 64 to 24 computations (62.5% saved)

series12.0ms (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 (neg.f64 l)))
1.0ms	l	@	inf	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l)))
1.0ms	K	@	0	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l)))
1.0ms	m	@	0	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l)))
1.0ms	n	@	0	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l)))

rewrite69.0ms (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)))))))

simplify110.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

83 → 69

Calls

Call 1

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

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

localize31.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 M)

Compiler

Compiled 83 to 37 computations (55.4% saved)

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (cos.f64 M) (.f64 (.f64 -1/2 K) (*.f64 (+.f64 n m) (sin.f64 M))))
✓	0.1b	(*.f64 (+.f64 n m) (sin.f64 M))
✓	0.4b	(.f64 (.f64 -1/2 K) (*.f64 (+.f64 n m) (sin.f64 M)))
✓	5.7b	(.f64 (-.f64 (cos.f64 M) (.f64 (.f64 -1/2 K) (.f64 (+.f64 n m) (sin.f64 M)))) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))

Compiler

Compiled 119 to 31 computations (73.9% saved)

series64.0ms (0.3%)

Counts

4 → 192

Calls

48 calls:

Time	Variable		Point	Expression
33.0ms	n	@	0	(.f64 (-.f64 (cos.f64 M) (.f64 (.f64 -1/2 K) (.f64 (+.f64 n m) (sin.f64 M)))) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
3.0ms	K	@	inf	(-.f64 (cos.f64 M) (.f64 (.f64 -1/2 K) (*.f64 (+.f64 n m) (sin.f64 M))))
2.0ms	l	@	inf	(.f64 (-.f64 (cos.f64 M) (.f64 (.f64 -1/2 K) (.f64 (+.f64 n m) (sin.f64 M)))) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
2.0ms	K	@	0	(.f64 (-.f64 (cos.f64 M) (.f64 (.f64 -1/2 K) (.f64 (+.f64 n m) (sin.f64 M)))) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
1.0ms	M	@	-inf	(.f64 (-.f64 (cos.f64 M) (.f64 (.f64 -1/2 K) (.f64 (+.f64 n m) (sin.f64 M)))) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))

rewrite98.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

430×	`log1p-udef_binary64`
268×	`add-sqr-sqrt_binary64`
262×	`*-un-lft-identity_binary64`
262×	`pow1_binary64`
249×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	85
1	501	81
2	7602	81

Stop Event

1×	node limit

Counts

4 → 104

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 m n) (fma.f64 M M (neg.f64 l))))) (.f64 (.f64 (.f64 (+.f64 n m) (sin.f64 M)) (.f64 K 1/2)) (exp.f64 (+.f64 (-.f64 m n) (fma.f64 M M (neg.f64 l))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (exp.f64 (+.f64 (-.f64 m n) (fma.f64 M M (neg.f64 l)))) (cos.f64 M)) (.f64 (exp.f64 (+.f64 (-.f64 m n) (fma.f64 M M (neg.f64 l)))) (.f64 (.f64 (+.f64 n m) (sin.f64 M)) (.f64 K 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 (cos.f64 M) (.f64 (.f64 (+.f64 n m) (sin.f64 M)) (.f64 K 1/2))) (exp.f64 (+.f64 (-.f64 m n) (fma.f64 M M (neg.f64 l))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 (cos.f64 M) 3) (pow.f64 (.f64 (.f64 -1/2 K) (.f64 (+.f64 n m) (sin.f64 M))) 3)) (pow.f64 (exp.f64 M) M)) (.f64 (+.f64 (pow.f64 (cos.f64 M) 2) (.f64 (.f64 (.f64 -1/2 K) (.f64 (+.f64 n m) (sin.f64 M))) (+.f64 (cos.f64 M) (.f64 (.f64 -1/2 K) (.f64 (+.f64 n m) (sin.f64 M)))))) (exp.f64 (-.f64 l (-.f64 m n)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 (cos.f64 M) 2) (pow.f64 (.f64 (.f64 -1/2 K) (.f64 (+.f64 n m) (sin.f64 M))) 2)) (pow.f64 (exp.f64 M) M)) (.f64 (+.f64 (cos.f64 M) (.f64 (.f64 -1/2 K) (.f64 (+.f64 n m) (sin.f64 M)))) (exp.f64 (-.f64 l (-.f64 m n)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (exp.f64 M) M) (-.f64 (pow.f64 (cos.f64 M) 3) (pow.f64 (.f64 (.f64 -1/2 K) (.f64 (+.f64 n m) (sin.f64 M))) 3))) (.f64 (exp.f64 (-.f64 l (-.f64 m n))) (+.f64 (pow.f64 (cos.f64 M) 2) (.f64 (.f64 (.f64 -1/2 K) (.f64 (+.f64 n m) (sin.f64 M))) (+.f64 (cos.f64 M) (.f64 (.f64 -1/2 K) (.f64 (+.f64 n m) (sin.f64 M))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (exp.f64 M) M) (-.f64 (pow.f64 (cos.f64 M) 2) (pow.f64 (.f64 (.f64 -1/2 K) (.f64 (+.f64 n m) (sin.f64 M))) 2))) (.f64 (exp.f64 (-.f64 l (-.f64 m n))) (+.f64 (cos.f64 M) (.f64 (.f64 -1/2 K) (.f64 (+.f64 n m) (sin.f64 M))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 (cos.f64 M) 3) (pow.f64 (.f64 (.f64 -1/2 K) (.f64 (+.f64 n m) (sin.f64 M))) 3)) (exp.f64 (+.f64 (-.f64 m n) (fma.f64 M M (neg.f64 l))))) (+.f64 (pow.f64 (cos.f64 M) 2) (.f64 (.f64 (.f64 -1/2 K) (.f64 (+.f64 n m) (sin.f64 M))) (+.f64 (cos.f64 M) (.f64 (.f64 -1/2 K) (.f64 (+.f64 n m) (sin.f64 M)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (pow.f64 (cos.f64 M) 2) (pow.f64 (.f64 (.f64 -1/2 K) (.f64 (+.f64 n m) (sin.f64 M))) 2)) (exp.f64 (+.f64 (-.f64 m n) (fma.f64 M M (neg.f64 l))))) (+.f64 (cos.f64 M) (.f64 (.f64 -1/2 K) (.f64 (+.f64 n m) (sin.f64 M)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (exp.f64 M) M) (+.f64 (cos.f64 M) (.f64 (.f64 (+.f64 n m) (sin.f64 M)) (.f64 K 1/2)))) (exp.f64 (-.f64 l (-.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (cos.f64 M) (.f64 (.f64 (+.f64 n m) (sin.f64 M)) (.f64 K 1/2))) (pow.f64 (exp.f64 M) M)) (exp.f64 (-.f64 l (-.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (exp.f64 (+.f64 (-.f64 m n) (fma.f64 M M (neg.f64 l)))) (-.f64 (pow.f64 (cos.f64 M) 3) (pow.f64 (.f64 (.f64 -1/2 K) (.f64 (+.f64 n m) (sin.f64 M))) 3))) (+.f64 (pow.f64 (cos.f64 M) 2) (.f64 (.f64 (.f64 -1/2 K) (.f64 (+.f64 n m) (sin.f64 M))) (+.f64 (cos.f64 M) (.f64 (.f64 -1/2 K) (.f64 (+.f64 n m) (sin.f64 M)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (exp.f64 (+.f64 (-.f64 m n) (fma.f64 M M (neg.f64 l)))) (-.f64 (pow.f64 (cos.f64 M) 2) (pow.f64 (.f64 (.f64 -1/2 K) (.f64 (+.f64 n m) (sin.f64 M))) 2))) (+.f64 (cos.f64 M) (.f64 (.f64 -1/2 K) (.f64 (+.f64 n m) (sin.f64 M)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (+.f64 (cos.f64 M) (.f64 (.f64 (+.f64 n m) (sin.f64 M)) (.f64 K 1/2))) (exp.f64 (+.f64 (-.f64 m n) (fma.f64 M M (neg.f64 l))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (+.f64 (cos.f64 M) (.f64 (.f64 (+.f64 n m) (sin.f64 M)) 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simplify163.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

553×	`fma-neg_binary64`
526×	`distribute-rgt-in_binary64`
519×	`distribute-lft-in_binary64`
505×	`*-commutative_binary64`
398×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	178	4438
1	535	4330
2	1880	4145
3	7014	4145

Stop Event

1×	node limit

Counts

296 → 196

Calls

Call 1

Inputs
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l))
(+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (.f64 1/2 (.f64 K (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (.f64 (+.f64 n m) M)))))
(+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (+.f64 (.f64 1/2 (.f64 K (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (.f64 (+.f64 n m) M)))) (.f64 (+.f64 (.f64 -1/2 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l))) (*.f64 -1 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)))) (pow.f64 M 2))))
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(+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 M)))) (.f64 -1/2 (.f64 K (.f64 (sin.f64 M) m))))
(.f64 -1/2 (.f64 K (*.f64 (sin.f64 M) m)))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 M)))) (.f64 -1/2 (.f64 K (.f64 (sin.f64 M) m))))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 M)))) (.f64 -1/2 (.f64 K (.f64 (sin.f64 M) m))))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 M)))) (.f64 -1/2 (.f64 K (.f64 (sin.f64 M) m))))
(.f64 -1/2 (.f64 K (*.f64 (+.f64 n m) M)))
(+.f64 (.f64 1/12 (.f64 K (.f64 (+.f64 n m) (pow.f64 M 3)))) (.f64 -1/2 (.f64 K (.f64 (+.f64 n m) M))))
(+.f64 (.f64 1/12 (.f64 K (.f64 (+.f64 n m) (pow.f64 M 3)))) (+.f64 (.f64 -1/240 (.f64 K (.f64 (+.f64 n m) (pow.f64 M 5)))) (.f64 -1/2 (.f64 K (*.f64 (+.f64 n m) M)))))
(+.f64 (.f64 1/12 (.f64 K (.f64 (+.f64 n m) (pow.f64 M 3)))) (+.f64 (.f64 -1/240 (.f64 K (.f64 (+.f64 n m) (pow.f64 M 5)))) (+.f64 (.f64 1/10080 (.f64 K (.f64 (+.f64 n m) (pow.f64 M 7)))) (.f64 -1/2 (.f64 K (.f64 (+.f64 n m) M))))))
(.f64 -1/2 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m))))
(.f64 -1/2 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m))))
(.f64 -1/2 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m))))
(.f64 -1/2 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m))))
(.f64 -1/2 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m))))
(.f64 -1/2 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m))))
(.f64 -1/2 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m))))
(.f64 -1/2 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m))))
(*.f64 (sin.f64 M) m)
(+.f64 (.f64 (sin.f64 M) m) (.f64 n (sin.f64 M)))
(+.f64 (.f64 (sin.f64 M) m) (.f64 n (sin.f64 M)))
(+.f64 (.f64 (sin.f64 M) m) (.f64 n (sin.f64 M)))
(*.f64 n (sin.f64 M))
(+.f64 (.f64 (sin.f64 M) m) (.f64 n (sin.f64 M)))
(+.f64 (.f64 (sin.f64 M) m) (.f64 n (sin.f64 M)))
(+.f64 (.f64 (sin.f64 M) m) (.f64 n (sin.f64 M)))
(*.f64 n (sin.f64 M))
(+.f64 (.f64 (sin.f64 M) m) (.f64 n (sin.f64 M)))
(+.f64 (.f64 (sin.f64 M) m) (.f64 n (sin.f64 M)))
(+.f64 (.f64 (sin.f64 M) m) (.f64 n (sin.f64 M)))
(*.f64 n (sin.f64 M))
(+.f64 (.f64 (sin.f64 M) m) (.f64 n (sin.f64 M)))
(+.f64 (.f64 (sin.f64 M) m) (.f64 n (sin.f64 M)))
(+.f64 (.f64 (sin.f64 M) m) (.f64 n (sin.f64 M)))
(*.f64 (sin.f64 M) m)
(+.f64 (.f64 (sin.f64 M) m) (.f64 n (sin.f64 M)))
(+.f64 (.f64 (sin.f64 M) m) (.f64 n (sin.f64 M)))
(+.f64 (.f64 (sin.f64 M) m) (.f64 n (sin.f64 M)))
(*.f64 (sin.f64 M) m)
(+.f64 (.f64 (sin.f64 M) m) (.f64 n (sin.f64 M)))
(+.f64 (.f64 (sin.f64 M) m) (.f64 n (sin.f64 M)))
(+.f64 (.f64 (sin.f64 M) m) (.f64 n (sin.f64 M)))
(*.f64 (+.f64 n m) M)
(+.f64 (.f64 -1/6 (.f64 (+.f64 n m) (pow.f64 M 3))) (*.f64 (+.f64 n m) M))
(+.f64 (.f64 -1/6 (.f64 (+.f64 n m) (pow.f64 M 3))) (+.f64 (.f64 1/120 (.f64 (+.f64 n m) (pow.f64 M 5))) (*.f64 (+.f64 n m) M)))
(+.f64 (.f64 -1/6 (.f64 (+.f64 n m) (pow.f64 M 3))) (+.f64 (.f64 -1/5040 (.f64 (+.f64 n m) (pow.f64 M 7))) (+.f64 (.f64 1/120 (.f64 (+.f64 n m) (pow.f64 M 5))) (*.f64 (+.f64 n m) M))))
(*.f64 (sin.f64 M) (+.f64 n m))
(*.f64 (sin.f64 M) (+.f64 n m))
(*.f64 (sin.f64 M) (+.f64 n m))
(*.f64 (sin.f64 M) (+.f64 n m))
(*.f64 (sin.f64 M) (+.f64 n m))
(*.f64 (sin.f64 M) (+.f64 n m))
(*.f64 (sin.f64 M) (+.f64 n m))
(*.f64 (sin.f64 M) (+.f64 n m))
1
(+.f64 1 (.f64 1/2 (.f64 K (*.f64 (+.f64 n m) M))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 M 2)) (.f64 1/2 (.f64 K (.f64 (+.f64 n m) M)))))
(+.f64 1 (+.f64 (.f64 -1/12 (.f64 K (.f64 (+.f64 n m) (pow.f64 M 3)))) (+.f64 (.f64 -1/2 (pow.f64 M 2)) (.f64 1/2 (.f64 K (*.f64 (+.f64 n m) M))))))
(-.f64 (cos.f64 M) (.f64 -1/2 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m)))))
(-.f64 (cos.f64 M) (.f64 -1/2 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m)))))
(-.f64 (cos.f64 M) (.f64 -1/2 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m)))))
(-.f64 (cos.f64 M) (.f64 -1/2 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m)))))
(-.f64 (cos.f64 M) (.f64 -1/2 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m)))))
(-.f64 (cos.f64 M) (.f64 -1/2 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m)))))
(-.f64 (cos.f64 M) (.f64 -1/2 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m)))))
(-.f64 (cos.f64 M) (.f64 -1/2 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m)))))
(cos.f64 M)
(+.f64 (.f64 1/2 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m)))) (cos.f64 M))
(+.f64 (.f64 1/2 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m)))) (cos.f64 M))
(+.f64 (.f64 1/2 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m)))) (cos.f64 M))
(.f64 1/2 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m))))
(+.f64 (.f64 1/2 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m)))) (cos.f64 M))
(+.f64 (.f64 1/2 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m)))) (cos.f64 M))
(+.f64 (.f64 1/2 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m)))) (cos.f64 M))
(.f64 1/2 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m))))
(+.f64 (.f64 1/2 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m)))) (cos.f64 M))
(+.f64 (.f64 1/2 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m)))) (cos.f64 M))
(+.f64 (.f64 1/2 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m)))) (cos.f64 M))
(-.f64 (cos.f64 M) (.f64 -1/2 (.f64 K (*.f64 (sin.f64 M) m))))
(-.f64 (+.f64 (.f64 1/2 (.f64 n (.f64 K (sin.f64 M)))) (cos.f64 M)) (.f64 -1/2 (.f64 K (.f64 (sin.f64 M) m))))
(-.f64 (+.f64 (.f64 1/2 (.f64 n (.f64 K (sin.f64 M)))) (cos.f64 M)) (.f64 -1/2 (.f64 K (.f64 (sin.f64 M) m))))
(-.f64 (+.f64 (.f64 1/2 (.f64 n (.f64 K (sin.f64 M)))) (cos.f64 M)) (.f64 -1/2 (.f64 K (.f64 (sin.f64 M) m))))
(.f64 1/2 (.f64 n (*.f64 K (sin.f64 M))))
(-.f64 (+.f64 (cos.f64 M) (.f64 1/2 (.f64 n (.f64 K (sin.f64 M))))) (.f64 -1/2 (.f64 K (.f64 (sin.f64 M) m))))
(-.f64 (+.f64 (cos.f64 M) (.f64 1/2 (.f64 n (.f64 K (sin.f64 M))))) (.f64 -1/2 (.f64 K (.f64 (sin.f64 M) m))))
(-.f64 (+.f64 (cos.f64 M) (.f64 1/2 (.f64 n (.f64 K (sin.f64 M))))) (.f64 -1/2 (.f64 K (.f64 (sin.f64 M) m))))
(.f64 1/2 (.f64 n (*.f64 K (sin.f64 M))))
(-.f64 (+.f64 (cos.f64 M) (.f64 1/2 (.f64 n (.f64 K (sin.f64 M))))) (.f64 -1/2 (.f64 K (.f64 (sin.f64 M) m))))
(-.f64 (+.f64 (cos.f64 M) (.f64 1/2 (.f64 n (.f64 K (sin.f64 M))))) (.f64 -1/2 (.f64 K (.f64 (sin.f64 M) m))))
(-.f64 (+.f64 (cos.f64 M) (.f64 1/2 (.f64 n (.f64 K (sin.f64 M))))) (.f64 -1/2 (.f64 K (.f64 (sin.f64 M) m))))
(-.f64 (cos.f64 M) (.f64 -1/2 (.f64 n (*.f64 K (sin.f64 M)))))
(-.f64 (+.f64 (.f64 1/2 (.f64 K (.f64 (sin.f64 M) m))) (cos.f64 M)) (.f64 -1/2 (.f64 n (.f64 K (sin.f64 M)))))
(-.f64 (+.f64 (.f64 1/2 (.f64 K (.f64 (sin.f64 M) m))) (cos.f64 M)) (.f64 -1/2 (.f64 n (.f64 K (sin.f64 M)))))
(-.f64 (+.f64 (.f64 1/2 (.f64 K (.f64 (sin.f64 M) m))) (cos.f64 M)) (.f64 -1/2 (.f64 n (.f64 K (sin.f64 M)))))
(.f64 1/2 (.f64 K (*.f64 (sin.f64 M) m)))
(-.f64 (+.f64 (.f64 1/2 (.f64 K (.f64 (sin.f64 M) m))) (cos.f64 M)) (.f64 -1/2 (.f64 n (.f64 K (sin.f64 M)))))
(-.f64 (+.f64 (.f64 1/2 (.f64 K (.f64 (sin.f64 M) m))) (cos.f64 M)) (.f64 -1/2 (.f64 n (.f64 K (sin.f64 M)))))
(-.f64 (+.f64 (.f64 1/2 (.f64 K (.f64 (sin.f64 M) m))) (cos.f64 M)) (.f64 -1/2 (.f64 n (.f64 K (sin.f64 M)))))
(.f64 1/2 (.f64 K (*.f64 (sin.f64 M) m)))
(-.f64 (+.f64 (.f64 1/2 (.f64 K (.f64 (sin.f64 M) m))) (cos.f64 M)) (.f64 -1/2 (.f64 n (.f64 K (sin.f64 M)))))
(-.f64 (+.f64 (.f64 1/2 (.f64 K (.f64 (sin.f64 M) m))) (cos.f64 M)) (.f64 -1/2 (.f64 n (.f64 K (sin.f64 M)))))
(-.f64 (+.f64 (.f64 1/2 (.f64 K (.f64 (sin.f64 M) m))) (cos.f64 M)) (.f64 -1/2 (.f64 n (.f64 K (sin.f64 M)))))

Outputs
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l))
(+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (.f64 1/2 (.f64 K (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (.f64 (+.f64 n m) M)))))
(+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (.f64 1/2 (.f64 K (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (.f64 (+.f64 m n) M)))))
(fma.f64 1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)) (.f64 K (*.f64 (+.f64 m n) M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))
(.f64 (fma.f64 1/2 (.f64 K (*.f64 (+.f64 m n) M)) 1) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))
(+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (+.f64 (.f64 1/2 (.f64 K (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (.f64 (+.f64 n m) M)))) (.f64 (+.f64 (.f64 -1/2 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l))) (*.f64 -1 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)))) (pow.f64 M 2))))
(+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (fma.f64 1/2 (.f64 K (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (.f64 (+.f64 m n) M))) (.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) -3/2) (.f64 M M))))
(+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)) (fma.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)) -3/2) (.f64 M M) (.f64 (.f64 (.f64 (+.f64 m n) M) (.f64 1/2 K)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))))
(+.f64 (.f64 (fma.f64 1/2 (.f64 K (.f64 (+.f64 m n) M)) 1) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)) (.f64 (.f64 M M) -3/2)))
(+.f64 (.f64 (+.f64 (.f64 -1/12 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (.f64 K (+.f64 n m)))) (.f64 -1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (.f64 K (+.f64 n m))))) (pow.f64 M 3)) (+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (+.f64 (.f64 1/2 (.f64 K (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (.f64 (+.f64 n m) M)))) (.f64 (+.f64 (.f64 -1/2 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l))) (.f64 -1 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)))) (pow.f64 M 2)))))
(fma.f64 (.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (.f64 K (+.f64 m n))) -7/12) (pow.f64 M 3) (+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (fma.f64 1/2 (.f64 K (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (.f64 (+.f64 m n) M))) (.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) -3/2) (*.f64 M M)))))
(+.f64 (fma.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)) -3/2) (.f64 M M) (.f64 (.f64 (.f64 (+.f64 m n) M) (.f64 1/2 K)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))) (fma.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)) (.f64 (*.f64 K (+.f64 m n)) -7/12)) (pow.f64 M 3) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l))))
(+.f64 (.f64 (fma.f64 1/2 (.f64 K (.f64 (+.f64 m n) M)) 1) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l))) (.f64 (.f64 M M) (+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)) -3/2) (.f64 M (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)) (.f64 (.f64 K (+.f64 m n)) -7/12))))))
(.f64 (-.f64 (cos.f64 M) (.f64 -1/2 (.f64 K (.f64 (sin.f64 M) (+.f64 n m))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))))
(.f64 (fma.f64 1/2 (.f64 K (.f64 (+.f64 m n) (sin.f64 M))) (cos.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 M M)))))
(.f64 (fma.f64 1/2 (.f64 (+.f64 m n) (*.f64 K (sin.f64 M))) (cos.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))))
(.f64 (fma.f64 1/2 (.f64 K (*.f64 (+.f64 m n) (sin.f64 M))) (cos.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))))
(.f64 (-.f64 (cos.f64 M) (.f64 -1/2 (.f64 K (.f64 (sin.f64 M) (+.f64 n m))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))))
(.f64 (fma.f64 1/2 (.f64 K (.f64 (+.f64 m n) (sin.f64 M))) (cos.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 M M)))))
(.f64 (fma.f64 1/2 (.f64 (+.f64 m n) (*.f64 K (sin.f64 M))) (cos.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))))
(.f64 (fma.f64 1/2 (.f64 K (*.f64 (+.f64 m n) (sin.f64 M))) (cos.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))))
(.f64 (-.f64 (cos.f64 M) (.f64 -1/2 (.f64 K (.f64 (sin.f64 M) (+.f64 n m))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))))
(.f64 (fma.f64 1/2 (.f64 K (.f64 (+.f64 m n) (sin.f64 M))) (cos.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 M M)))))
(.f64 (fma.f64 1/2 (.f64 (+.f64 m n) (*.f64 K (sin.f64 M))) (cos.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))))
(.f64 (fma.f64 1/2 (.f64 K (*.f64 (+.f64 m n) (sin.f64 M))) (cos.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))))
(.f64 (-.f64 (cos.f64 M) (.f64 -1/2 (.f64 K (.f64 (sin.f64 M) (+.f64 n m))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))))
(.f64 (fma.f64 1/2 (.f64 K (.f64 (+.f64 m n) (sin.f64 M))) (cos.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 M M)))))
(.f64 (fma.f64 1/2 (.f64 (+.f64 m n) (*.f64 K (sin.f64 M))) (cos.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))))
(.f64 (fma.f64 1/2 (.f64 K (*.f64 (+.f64 m n) (sin.f64 M))) (cos.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))))
(.f64 (-.f64 (cos.f64 M) (.f64 -1/2 (.f64 K (.f64 (sin.f64 M) (+.f64 n m))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))))
(.f64 (fma.f64 1/2 (.f64 K (.f64 (+.f64 m n) (sin.f64 M))) (cos.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 M M)))))
(.f64 (fma.f64 1/2 (.f64 (+.f64 m n) (*.f64 K (sin.f64 M))) (cos.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))))
(.f64 (fma.f64 1/2 (.f64 K (*.f64 (+.f64 m n) (sin.f64 M))) (cos.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))))
(.f64 (-.f64 (cos.f64 M) (.f64 -1/2 (.f64 K (.f64 (sin.f64 M) (+.f64 n m))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))))
(.f64 (fma.f64 1/2 (.f64 K (.f64 (+.f64 m n) (sin.f64 M))) (cos.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 M M)))))
(.f64 (fma.f64 1/2 (.f64 (+.f64 m n) (*.f64 K (sin.f64 M))) (cos.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))))
(.f64 (fma.f64 1/2 (.f64 K (*.f64 (+.f64 m n) (sin.f64 M))) (cos.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))))
(.f64 (-.f64 (cos.f64 M) (.f64 -1/2 (.f64 K (.f64 (sin.f64 M) (+.f64 n m))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))))
(.f64 (fma.f64 1/2 (.f64 K (.f64 (+.f64 m n) (sin.f64 M))) (cos.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 M M)))))
(.f64 (fma.f64 1/2 (.f64 (+.f64 m n) (*.f64 K (sin.f64 M))) (cos.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))))
(.f64 (fma.f64 1/2 (.f64 K (*.f64 (+.f64 m n) (sin.f64 M))) (cos.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))))
(.f64 (-.f64 (cos.f64 M) (.f64 -1/2 (.f64 K (.f64 (sin.f64 M) (+.f64 n m))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))))
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1
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(.f64 1/2 (.f64 (sin.f64 M) (*.f64 m K)))
(-.f64 (+.f64 (.f64 1/2 (.f64 K (.f64 (sin.f64 M) m))) (cos.f64 M)) (.f64 -1/2 (.f64 n (.f64 K (sin.f64 M)))))
(fma.f64 1/2 (.f64 K (.f64 (+.f64 m n) (sin.f64 M))) (cos.f64 M))
(fma.f64 1/2 (.f64 (+.f64 m n) (.f64 K (sin.f64 M))) (cos.f64 M))
(-.f64 (+.f64 (.f64 1/2 (.f64 K (.f64 (sin.f64 M) m))) (cos.f64 M)) (.f64 -1/2 (.f64 n (.f64 K (sin.f64 M)))))
(fma.f64 1/2 (.f64 K (.f64 (+.f64 m n) (sin.f64 M))) (cos.f64 M))
(fma.f64 1/2 (.f64 (+.f64 m n) (.f64 K (sin.f64 M))) (cos.f64 M))
(-.f64 (+.f64 (.f64 1/2 (.f64 K (.f64 (sin.f64 M) m))) (cos.f64 M)) (.f64 -1/2 (.f64 n (.f64 K (sin.f64 M)))))
(fma.f64 1/2 (.f64 K (.f64 (+.f64 m n) (sin.f64 M))) (cos.f64 M))
(fma.f64 1/2 (.f64 (+.f64 m n) (.f64 K (sin.f64 M))) (cos.f64 M))
(.f64 1/2 (.f64 K (*.f64 (sin.f64 M) m)))
(.f64 1/2 (.f64 K (*.f64 m (sin.f64 M))))
(.f64 K (.f64 (*.f64 m (sin.f64 M)) 1/2))
(.f64 1/2 (.f64 (sin.f64 M) (*.f64 m K)))
(-.f64 (+.f64 (.f64 1/2 (.f64 K (.f64 (sin.f64 M) m))) (cos.f64 M)) (.f64 -1/2 (.f64 n (.f64 K (sin.f64 M)))))
(fma.f64 1/2 (.f64 K (.f64 (+.f64 m n) (sin.f64 M))) (cos.f64 M))
(fma.f64 1/2 (.f64 (+.f64 m n) (.f64 K (sin.f64 M))) (cos.f64 M))
(-.f64 (+.f64 (.f64 1/2 (.f64 K (.f64 (sin.f64 M) m))) (cos.f64 M)) (.f64 -1/2 (.f64 n (.f64 K (sin.f64 M)))))
(fma.f64 1/2 (.f64 K (.f64 (+.f64 m n) (sin.f64 M))) (cos.f64 M))
(fma.f64 1/2 (.f64 (+.f64 m n) (.f64 K (sin.f64 M))) (cos.f64 M))
(-.f64 (+.f64 (.f64 1/2 (.f64 K (.f64 (sin.f64 M) m))) (cos.f64 M)) (.f64 -1/2 (.f64 n (.f64 K (sin.f64 M)))))
(fma.f64 1/2 (.f64 K (.f64 (+.f64 m n) (sin.f64 M))) (cos.f64 M))
(fma.f64 1/2 (.f64 (+.f64 m n) (.f64 K (sin.f64 M))) (cos.f64 M))

localize102.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(expm1.f64 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) (neg.f64 M))))
✓	0.4b	(+.f64 1 (expm1.f64 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) (neg.f64 M)))))
✓	0.5b	(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) (neg.f64 M))))))
✓	34.9b	(cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) (neg.f64 M)))

Compiler

Compiled 161 to 77 computations (52.2% saved)

series193.0ms (1%)

Counts

4 → 192

Calls

48 calls:

Time	Variable		Point	Expression
30.0ms	M	@	inf	(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) (neg.f64 M))))))
22.0ms	K	@	inf	(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) (neg.f64 M))))))
22.0ms	n	@	-inf	(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) (neg.f64 M))))))
21.0ms	M	@	-inf	(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) (neg.f64 M))))))
21.0ms	m	@	-inf	(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) (neg.f64 M))))))

rewrite109.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

791×	`prod-diff_binary64`
599×	`log-prod_binary64`
366×	`fma-def_binary64`
240×	`expm1-udef_binary64`
239×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	64
1	310	56
2	3709	56

Stop Event

1×	node limit

Counts

4 → 175

Calls

Call 1

Inputs
(cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) (neg.f64 M)))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) (neg.f64 M))))))
(+.f64 1 (expm1.f64 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) (neg.f64 M)))))
(expm1.f64 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) (neg.f64 M))))

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

simplify216.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

534×	`associate-r_binary64`
493×	`neg-sub0_binary64`
486×	`neg-mul-1_binary64`
437×	`fma-def_binary64`
401×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	330	7220
1	1142	6900
2	4748	6364
3	7124	6353

Stop Event

1×	node limit

Counts

367 → 258

Calls

Call 1

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

Outputs
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 (.f64 1/2 n) K) M))
(cos.f64 (-.f64 (.f64 n (.f64 1/2 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 (cos.f64 (-.f64 (.f64 (.f64 1/2 n) K) M)) (.f64 (.f64 -1/2 (sin.f64 (-.f64 (.f64 (.f64 1/2 n) K) M))) (*.f64 K m)))
(fma.f64 -1/2 (.f64 K (.f64 m (sin.f64 (-.f64 (.f64 n (.f64 1/2 K)) M)))) (cos.f64 (-.f64 (.f64 n (.f64 1/2 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)))))
(fma.f64 -1/8 (.f64 (.f64 K K) (.f64 (cos.f64 (-.f64 (.f64 (.f64 1/2 n) K) M)) (.f64 m m))) (+.f64 (cos.f64 (-.f64 (.f64 (.f64 1/2 n) K) M)) (.f64 (.f64 -1/2 (sin.f64 (-.f64 (.f64 (.f64 1/2 n) K) M))) (*.f64 K m))))
(fma.f64 -1/8 (.f64 (cos.f64 (-.f64 (.f64 n (.f64 1/2 K)) M)) (.f64 (.f64 m m) (.f64 K K))) (fma.f64 -1/2 (.f64 K (.f64 m (sin.f64 (-.f64 (.f64 n (.f64 1/2 K)) M)))) (cos.f64 (-.f64 (.f64 n (.f64 1/2 K)) M))))
(+.f64 (.f64 (sin.f64 (-.f64 (.f64 n (.f64 1/2 K)) M)) (.f64 (.f64 K m) -1/2)) (.f64 (+.f64 (.f64 (.f64 -1/8 (.f64 K K)) (.f64 m m)) 1) (cos.f64 (-.f64 (.f64 n (.f64 1/2 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))))))
(fma.f64 -1/8 (.f64 (.f64 K K) (.f64 (cos.f64 (-.f64 (.f64 (.f64 1/2 n) K) M)) (.f64 m m))) (+.f64 (cos.f64 (-.f64 (.f64 (.f64 1/2 n) K) M)) (fma.f64 1/48 (.f64 (sin.f64 (-.f64 (.f64 (.f64 1/2 n) K) M)) (.f64 (pow.f64 K 3) (pow.f64 m 3))) (.f64 (.f64 -1/2 (sin.f64 (-.f64 (.f64 (.f64 1/2 n) K) M))) (*.f64 K m)))))
(+.f64 (fma.f64 1/48 (.f64 (sin.f64 (-.f64 (.f64 n (.f64 1/2 K)) M)) (.f64 (pow.f64 K 3) (pow.f64 m 3))) (.f64 (sin.f64 (-.f64 (.f64 n (.f64 1/2 K)) M)) (.f64 (.f64 K m) -1/2))) (fma.f64 -1/8 (.f64 (cos.f64 (-.f64 (.f64 n (.f64 1/2 K)) M)) (.f64 (.f64 m m) (.f64 K K))) (cos.f64 (-.f64 (.f64 n (*.f64 1/2 K)) M))))
(+.f64 (.f64 (sin.f64 (-.f64 (.f64 n (.f64 1/2 K)) M)) (+.f64 (.f64 -1/2 (.f64 K m)) (.f64 1/48 (.f64 (pow.f64 K 3) (pow.f64 m 3))))) (.f64 (+.f64 (.f64 (.f64 -1/8 (.f64 K K)) (.f64 m m)) 1) (cos.f64 (-.f64 (.f64 n (.f64 1/2 K)) M))))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (fma.f64 (-.f64 n (.f64 -1 m)) (.f64 1/2 K) (neg.f64 M)))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (fma.f64 (-.f64 n (.f64 -1 m)) (.f64 1/2 K) (neg.f64 M)))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (fma.f64 (-.f64 n (.f64 -1 m)) (.f64 1/2 K) (neg.f64 M)))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (fma.f64 (-.f64 n (.f64 -1 m)) (.f64 1/2 K) (neg.f64 M)))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))
(cos.f64 (fma.f64 1/2 (*.f64 K m) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 1/2 m)) M))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)))
(fma.f64 -1/2 (.f64 (.f64 n K) (sin.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M)))) (cos.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M))))
(fma.f64 -1/2 (.f64 (.f64 n K) (sin.f64 (-.f64 (.f64 K (.f64 1/2 m)) M))) (cos.f64 (-.f64 (.f64 K (.f64 1/2 m)) M)))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (pow.f64 K 2)))) (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))
(fma.f64 -1/2 (.f64 (.f64 n K) (sin.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M)))) (fma.f64 -1/8 (.f64 (.f64 n n) (.f64 (.f64 K K) (cos.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M))))) (cos.f64 (fma.f64 1/2 (*.f64 K m) (neg.f64 M)))))
(fma.f64 -1/2 (.f64 (.f64 n K) (sin.f64 (-.f64 (.f64 K (.f64 1/2 m)) M))) (fma.f64 -1/8 (.f64 (.f64 (.f64 n n) (.f64 K K)) (cos.f64 (-.f64 (.f64 K (.f64 1/2 m)) M))) (cos.f64 (-.f64 (.f64 K (.f64 1/2 m)) M))))
(fma.f64 -1/2 (.f64 (.f64 n K) (sin.f64 (-.f64 (.f64 K (.f64 1/2 m)) M))) (.f64 (+.f64 (.f64 (.f64 -1/8 (.f64 n n)) (.f64 K K)) 1) (cos.f64 (-.f64 (.f64 K (*.f64 1/2 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)))))
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(exp.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))
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(exp.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))
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(exp.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))
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(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) (neg.f64 M))))
(exp.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (.f64 1/2 K) (.f64 -1 M))))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) (neg.f64 M))))
(exp.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (.f64 1/2 K) (.f64 -1 M))))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) (neg.f64 M))))
(exp.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (.f64 1/2 K) (.f64 -1 M))))
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(-.f64 (exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))) 1)
(expm1.f64 (cos.f64 (-.f64 (.f64 (.f64 1/2 n) K) M)))
(expm1.f64 (cos.f64 (-.f64 (.f64 n (.f64 1/2 K)) M)))
(-.f64 (+.f64 (.f64 -1/2 (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 (exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))) m)))) (exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)))) 1)
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(-.f64 (+.f64 (.f64 -1/2 (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 (exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))) m)))) (+.f64 (.f64 (exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))) (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)))) (.f64 1/8 (.f64 (pow.f64 K 2) (pow.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) 2)))) (pow.f64 m 2))) (exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))))) 1)
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(-.f64 (+.f64 (.f64 -1/2 (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 (exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))) m)))) (+.f64 (.f64 (exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))) (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)))) (.f64 1/8 (.f64 (pow.f64 K 2) (pow.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) 2)))) (pow.f64 m 2))) (+.f64 (exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))) (.f64 (exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))) (.f64 (+.f64 (.f64 1/16 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 (pow.f64 K 3) (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))))) (+.f64 (.f64 1/48 (.f64 (pow.f64 K 3) (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)))) (.f64 -1/48 (.f64 (pow.f64 K 3) (pow.f64 (sin.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M)) 3))))) (pow.f64 m 3)))))) 1)
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(fma.f64 -1/2 (.f64 K (.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 1/2 K)) M))) (.f64 m (sin.f64 (-.f64 (.f64 n (.f64 1/2 K)) M))))) (fma.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 1/2 K)) M))) (+.f64 (.f64 (.f64 m m) (.f64 (.f64 K K) (+.f64 (.f64 -1/8 (cos.f64 (-.f64 (.f64 n (.f64 1/2 K)) M))) (.f64 1/8 (pow.f64 (sin.f64 (-.f64 (.f64 n (.f64 1/2 K)) M)) 2))))) (+.f64 (.f64 (pow.f64 m 3) (+.f64 (.f64 (pow.f64 (sin.f64 (-.f64 (.f64 n (.f64 1/2 K)) M)) 3) (.f64 (pow.f64 K 3) -1/48)) (.f64 (.f64 (sin.f64 (-.f64 (.f64 n (.f64 1/2 K)) M)) (pow.f64 K 3)) (+.f64 (.f64 (cos.f64 (-.f64 (.f64 n (*.f64 1/2 K)) M)) 1/16) 1/48)))) 1)) -1))
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(expm1.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) (neg.f64 M))))
(expm1.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))
(-.f64 (exp.f64 (cos.f64 (fma.f64 (-.f64 n (.f64 -1 m)) (.f64 1/2 K) (neg.f64 M)))) 1)
(expm1.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) (neg.f64 M))))
(expm1.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))
(-.f64 (exp.f64 (cos.f64 (fma.f64 (-.f64 n (.f64 -1 m)) (.f64 1/2 K) (neg.f64 M)))) 1)
(expm1.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) (neg.f64 M))))
(expm1.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))
(-.f64 (exp.f64 (cos.f64 (fma.f64 (-.f64 n (.f64 -1 m)) (.f64 1/2 K) (neg.f64 M)))) 1)
(expm1.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) (neg.f64 M))))
(expm1.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))
(-.f64 (exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))) 1)
(expm1.f64 (cos.f64 (fma.f64 1/2 (*.f64 K m) (neg.f64 M))))
(expm1.f64 (cos.f64 (-.f64 (.f64 K (.f64 1/2 m)) M)))
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(+.f64 (.f64 (.f64 (.f64 n K) (sin.f64 (-.f64 (.f64 K (.f64 1/2 m)) M))) (.f64 -1/2 (exp.f64 (cos.f64 (-.f64 (.f64 K (.f64 1/2 m)) M))))) (expm1.f64 (cos.f64 (-.f64 (.f64 K (.f64 1/2 m)) M))))
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(fma.f64 (+.f64 (.f64 (.f64 n K) (.f64 (sin.f64 (-.f64 (.f64 K (.f64 1/2 m)) M)) -1/2)) 1) (exp.f64 (cos.f64 (-.f64 (.f64 K (*.f64 1/2 m)) M))) -1)
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(expm1.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) (neg.f64 M))))
(expm1.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))
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(expm1.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) (neg.f64 M))))
(expm1.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))
(-.f64 (exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) (neg.f64 M)))) 1)
(expm1.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) (neg.f64 M))))
(expm1.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))
(-.f64 (exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) (neg.f64 M)))) 1)
(expm1.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) (neg.f64 M))))
(expm1.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))
(-.f64 (exp.f64 (cos.f64 (fma.f64 (-.f64 m (.f64 -1 n)) (.f64 1/2 K) (neg.f64 M)))) 1)
(expm1.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) (neg.f64 M))))
(expm1.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))
(-.f64 (exp.f64 (cos.f64 (fma.f64 (-.f64 m (.f64 -1 n)) (.f64 1/2 K) (neg.f64 M)))) 1)
(expm1.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) (neg.f64 M))))
(expm1.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))
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(expm1.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) (neg.f64 M))))
(expm1.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))
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(expm1.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) (neg.f64 M))))
(expm1.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))
(-.f64 (exp.f64 (cos.f64 (neg.f64 M))) 1)
(expm1.f64 (cos.f64 M))
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(expm1.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) (neg.f64 M))))
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(expm1.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) (neg.f64 M))))
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(expm1.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) (neg.f64 M))))
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(-.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))) 1)
(expm1.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))))
(expm1.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))))
(-.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))) M)) (exp.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))))) 1)
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (.f64 M (exp.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))))) (expm1.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))))
(fma.f64 (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (.f64 M (exp.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))))) (expm1.f64 (cos.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)))))
(+.f64 -1 (.f64 (+.f64 (.f64 M (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2)))) 1) (exp.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))))))
(fma.f64 (+.f64 (.f64 M (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2)))) 1) (exp.f64 (cos.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)))) -1)
(-.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))) M)) (+.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))) (.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))) (.f64 (+.f64 (.f64 -1/2 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))) (.f64 1/2 (pow.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) 2))) (pow.f64 M 2))))) 1)
(+.f64 (+.f64 (fma.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (.f64 M (exp.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))))) (exp.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))))) (.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))) (.f64 (.f64 M M) (fma.f64 -1/2 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (.f64 1/2 (pow.f64 (sin.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))) 2)))))) -1)
(+.f64 -1 (fma.f64 (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (.f64 M (exp.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))))) (.f64 (+.f64 (.f64 (.f64 M M) (fma.f64 1/2 (pow.f64 (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) 2) (.f64 -1/2 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2)))))) 1) (exp.f64 (cos.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)))))))
(+.f64 -1 (.f64 (exp.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2)))) (+.f64 (.f64 M (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2)))) (+.f64 (.f64 (.f64 M M) (fma.f64 1/2 (pow.f64 (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) 2) (.f64 -1/2 (cos.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)))))) 1))))
(fma.f64 (exp.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2)))) (+.f64 (.f64 M (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2)))) (+.f64 (.f64 (.f64 M M) (fma.f64 1/2 (pow.f64 (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) 2) (.f64 -1/2 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2)))))) 1)) -1)
(-.f64 (+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))) M)) (+.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))) (+.f64 (.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))) (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))))) (+.f64 (.f64 -1/6 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m))))) (.f64 1/6 (pow.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) 3)))) (pow.f64 M 3))) (.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))) (.f64 (+.f64 (.f64 -1/2 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))) (.f64 1/2 (pow.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) 2))) (pow.f64 M 2)))))) 1)
(+.f64 (+.f64 (fma.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (.f64 M (exp.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))))) (exp.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))))) (.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))) (+.f64 (.f64 (pow.f64 M 3) (fma.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m))))) (fma.f64 -1/6 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (.f64 1/6 (pow.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) 3))))) (.f64 (.f64 M M) (fma.f64 -1/2 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (.f64 1/2 (pow.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) 2))))))) -1)
(fma.f64 (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (.f64 M (exp.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))))) (+.f64 (.f64 (exp.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2)))) (fma.f64 (pow.f64 M 3) (fma.f64 -1/2 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2)))) (fma.f64 (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) -1/6 (.f64 1/6 (pow.f64 (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) 3)))) (.f64 (.f64 M M) (fma.f64 1/2 (pow.f64 (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) 2) (.f64 -1/2 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2)))))))) (expm1.f64 (cos.f64 (.f64 K (*.f64 (+.f64 n m) 1/2))))))
(+.f64 (.f64 (exp.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2)))) (+.f64 (.f64 M (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2)))) (.f64 (.f64 M M) (+.f64 (fma.f64 1/2 (pow.f64 (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) 2) (.f64 -1/2 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))))) (.f64 (+.f64 (.f64 1/6 (pow.f64 (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) 3)) (.f64 (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (+.f64 (.f64 -1/2 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2)))) -1/6))) M))))) (expm1.f64 (cos.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)))))
(-.f64 (exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) (neg.f64 M)))) 1)
(expm1.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) (neg.f64 M))))
(expm1.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))
(-.f64 (exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) (neg.f64 M)))) 1)
(expm1.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) (neg.f64 M))))
(expm1.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))
(-.f64 (exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) (neg.f64 M)))) 1)
(expm1.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) (neg.f64 M))))
(expm1.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))
(-.f64 (exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) (neg.f64 M)))) 1)
(expm1.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) (neg.f64 M))))
(expm1.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))
(-.f64 (exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (.f64 1/2 K) (.f64 -1 M)))) 1)
(expm1.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) (neg.f64 M))))
(expm1.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))
(-.f64 (exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (.f64 1/2 K) (.f64 -1 M)))) 1)
(expm1.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) (neg.f64 M))))
(expm1.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))
(-.f64 (exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (.f64 1/2 K) (.f64 -1 M)))) 1)
(expm1.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) (neg.f64 M))))
(expm1.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))
(-.f64 (exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (.f64 1/2 K) (.f64 -1 M)))) 1)
(expm1.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) (neg.f64 M))))
(expm1.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))

eval1.5s (8.1%)

Compiler: Compiled 76422 to 40976 computations (46.4% saved)

prune300.0ms (1.6%)

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	1416	21	1437
Fresh	12	8	20
Picked	1	0	1
Done	4	0	4
Total	1433	29	1462

Error

1.4b

Counts

1462 → 29

Alt Table

Click to see full alt table

Status	Error	Program
	45.8b	(/.f64 (cos.f64 M) (exp.f64 l))
	53.7b	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (.f64 (-.f64 (.f64 m m) (.f64 n n)) K) (-.f64 m n)) 2) M)) (exp.f64 (neg.f64 l)))
	37.6b	(.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (exp.f64 (.f64 (log.f64 (*.f64 K (+.f64 m n))) 1/2)) 2) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	46.6b	(.f64 (+.f64 1 (.f64 1/2 (.f64 K (.f64 (+.f64 n m) M)))) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	57.3b	(.f64 (cos.f64 (-.f64 (/.f64 (fma.f64 (.f64 m (sqrt.f64 K)) (sqrt.f64 K) (*.f64 K n)) 2) M)) (exp.f64 (neg.f64 l)))
	47.9b	(.f64 (cos.f64 (.f64 K (*.f64 n 1/2))) (exp.f64 (neg.f64 l)))
	24.0b	(.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 n (*.f64 n 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))))
	53.7b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))
	28.6b	(.f64 1 (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	49.1b	(.f64 (log.f64 (exp.f64 (cos.f64 (fma.f64 (+.f64 m n) (.f64 K 1/2) (neg.f64 M))))) (exp.f64 (neg.f64 l)))
▶	16.1b	(.f64 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 m n) 1/2)) M))))) (log.f64 (sqrt.f64 (exp.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))))))
	33.2b	(.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (exp.f64 (-.f64 (neg.f64 (.f64 n (*.f64 n 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))))
	36.9b	(pow.f64 (sqrt.f64 (.f64 (+.f64 (cos.f64 M) (.f64 (.f64 (+.f64 n m) (sin.f64 M)) (.f64 K 1/2))) (exp.f64 (+.f64 (-.f64 m n) (fma.f64 M M (neg.f64 l)))))) 2)
▶	34.0b	(.f64 (log.f64 (-.f64 (+.f64 1 (exp.f64 (cos.f64 (fma.f64 (+.f64 m n) (.f64 K 1/2) M)))) 1)) (exp.f64 (-.f64 (neg.f64 (.f64 n (.f64 n 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	27.2b	(.f64 1 (exp.f64 (-.f64 (neg.f64 (.f64 m (*.f64 m 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))))
	16.1b	(.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (+.f64 m n) (.f64 1/2 K) (neg.f64 M)))))) 3)) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	45.2b	(.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (.f64 K m)) (.f64 1/2 (.f64 n (sqrt.f64 (/.f64 K m))))) 2) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	49.2b	(.f64 (cos.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 m n) (.f64 K 1/2) (neg.f64 M))) 3)) (exp.f64 (neg.f64 l)))
▶	60.9b	(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
	50.3b	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (pow.f64 (.f64 (-.f64 (.f64 m m) (.f64 n n)) K) 3) 1/3) (-.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))))))
	48.3b	(.f64 (cos.f64 (.f64 K (*.f64 m 1/2))) (exp.f64 (neg.f64 l)))
	44.9b	(exp.f64 (+.f64 (+.f64 (-.f64 m n) (fma.f64 M M (neg.f64 l))) (log.f64 (+.f64 (cos.f64 M) (.f64 (.f64 (+.f64 n m) (sin.f64 M)) (*.f64 K 1/2))))))
	45.8b	(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
	35.9b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (.f64 n (.f64 n -1/4))))
	34.0b	(.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (+.f64 m n) (.f64 K 1/2) M)))) 3)) (exp.f64 (-.f64 (neg.f64 (.f64 n (.f64 n 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	55.2b	(.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 K (+.f64 m n))) 2) 2) M)) (exp.f64 (neg.f64 l)))
	61.1b	(.f64 (+.f64 (neg.f64 l) 1) (cos.f64 (fma.f64 (+.f64 n m) (.f64 K 1/2) (neg.f64 M))))
	39.5b	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 (.f64 m m) (.f64 n n)) K)) 3) (-.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))))))
	33.2b	(.f64 (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 (.f64 n (.f64 1/2 K)) M))))) (exp.f64 (-.f64 (neg.f64 (.f64 n (*.f64 n 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))))

Compiler

Compiled 1598 to 1152 computations (27.9% saved)

localize89.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M)))))
✓	0.6b	(log.f64 (sqrt.f64 (exp.f64 (cos.f64 M))))
	0.8b	(log.f64 (sqrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)))))
	34.9b	(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))

Compiler

Compiled 232 to 108 computations (53.4% saved)

series372.0ms (2%)

Counts

2 → 52

Calls

15 calls:

Time	Variable		Point	Expression
206.0ms	M	@	inf	(log.f64 (sqrt.f64 (exp.f64 (cos.f64 M))))
106.0ms	m	@	0	(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M)))))
15.0ms	M	@	-inf	(log.f64 (sqrt.f64 (exp.f64 (cos.f64 M))))
14.0ms	K	@	inf	(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M)))))
8.0ms	m	@	inf	(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M)))))

rewrite81.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

653×	`fma-def_binary64`
377×	`fma-neg_binary64`
363×	`expm1-udef_binary64`
363×	`log1p-udef_binary64`
209×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	39
1	402	32
2	5423	30

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

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

Outputs

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

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

simplify105.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

449×	`cancel-sign-sub-inv_binary64`
432×	`associate-r_binary64`
316×	`fma-def_binary64`
305×	`*-commutative_binary64`
302×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	387	4153
1	1235	3788
2	4516	3534

Stop Event

1×	node limit

Counts

113 → 107

Calls

Call 1

Inputs
(log.f64 (sqrt.f64 (exp.f64 1)))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 (exp.f64 1) (E.f64))) (pow.f64 M 2))) (log.f64 (sqrt.f64 (exp.f64 1))))
(+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 -3/4 (/.f64 (exp.f64 1) (E.f64))) (.f64 12 (.f64 (sqrt.f64 (/.f64 1 (.f64 (E.f64) (exp.f64 1)))) (-.f64 (.f64 1/6 (exp.f64 1)) (pow.f64 (.f64 -1/4 (.f64 (E.f64) (sqrt.f64 (/.f64 1 (exp.f64 1))))) 2))))) (pow.f64 M 4))) (+.f64 (.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 (exp.f64 1) (E.f64))) (pow.f64 M 2))) (log.f64 (sqrt.f64 (exp.f64 1)))))
(+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 -3/4 (/.f64 (exp.f64 1) (E.f64))) (.f64 12 (.f64 (sqrt.f64 (/.f64 1 (.f64 (E.f64) (exp.f64 1)))) (-.f64 (.f64 1/6 (exp.f64 1)) (pow.f64 (.f64 -1/4 (.f64 (E.f64) (sqrt.f64 (/.f64 1 (exp.f64 1))))) 2))))) (pow.f64 M 4))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 (exp.f64 1) (E.f64))) (pow.f64 M 2))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 1))) (.f64 1/720 (.f64 (+.f64 (.f64 -15/4 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 1) 3) (pow.f64 (E.f64) 3)))) (+.f64 (.f64 90 (/.f64 (-.f64 (.f64 1/6 (exp.f64 1)) (pow.f64 (.f64 -1/4 (.f64 (E.f64) (sqrt.f64 (/.f64 1 (exp.f64 1))))) 2)) (E.f64))) (.f64 360 (.f64 (sqrt.f64 (/.f64 1 (.f64 (E.f64) (exp.f64 1)))) (-.f64 (.f64 -31/720 (exp.f64 1)) (.f64 -1/4 (/.f64 (.f64 (E.f64) (-.f64 (.f64 1/6 (E.f64)) (pow.f64 (.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (E.f64))) (exp.f64 1))) 2))) (exp.f64 1)))))))) (pow.f64 M 6))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (neg.f64 M))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M)))))
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m)))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m)))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m)))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m)))))))))

Outputs
(log.f64 (sqrt.f64 (exp.f64 1)))
(log.f64 (sqrt.f64 (E.f64)))
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 (exp.f64 1) (E.f64))) (pow.f64 M 2))) (log.f64 (sqrt.f64 (exp.f64 1))))
(fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 (E.f64) (E.f64))) (.f64 M M)) (log.f64 (sqrt.f64 (E.f64))))
(fma.f64 -1/4 (*.f64 M M) (log.f64 (sqrt.f64 (E.f64))))
(+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 -3/4 (/.f64 (exp.f64 1) (E.f64))) (.f64 12 (.f64 (sqrt.f64 (/.f64 1 (.f64 (E.f64) (exp.f64 1)))) (-.f64 (.f64 1/6 (exp.f64 1)) (pow.f64 (.f64 -1/4 (.f64 (E.f64) (sqrt.f64 (/.f64 1 (exp.f64 1))))) 2))))) (pow.f64 M 4))) (+.f64 (.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 (exp.f64 1) (E.f64))) (pow.f64 M 2))) (log.f64 (sqrt.f64 (exp.f64 1)))))
(fma.f64 1/24 (.f64 (fma.f64 -3/4 (/.f64 (E.f64) (E.f64)) (.f64 (.f64 12 (sqrt.f64 (/.f64 (exp.f64 -1) (E.f64)))) (-.f64 (.f64 (E.f64) 1/6) (pow.f64 (.f64 (.f64 -1/4 (E.f64)) (sqrt.f64 (exp.f64 -1))) 2)))) (pow.f64 M 4)) (fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 (E.f64) (E.f64))) (.f64 M M)) (log.f64 (sqrt.f64 (E.f64)))))
(fma.f64 (.f64 1/24 (fma.f64 12 (.f64 (sqrt.f64 (exp.f64 -2)) (-.f64 (.f64 (E.f64) 1/6) (pow.f64 (.f64 (E.f64) (.f64 -1/4 (sqrt.f64 (exp.f64 -1)))) 2))) -3/4)) (pow.f64 M 4) (fma.f64 -1/4 (.f64 M M) (log.f64 (sqrt.f64 (E.f64)))))
(fma.f64 (.f64 1/24 (fma.f64 12 (.f64 (sqrt.f64 (exp.f64 -2)) (fma.f64 (E.f64) 1/6 (.f64 -1/16 (.f64 (exp.f64 -1) (exp.f64 2))))) -3/4)) (pow.f64 M 4) (fma.f64 -1/4 (*.f64 M M) (log.f64 (sqrt.f64 (E.f64)))))
(+.f64 (.f64 1/24 (.f64 (+.f64 (.f64 -3/4 (/.f64 (exp.f64 1) (E.f64))) (.f64 12 (.f64 (sqrt.f64 (/.f64 1 (.f64 (E.f64) (exp.f64 1)))) (-.f64 (.f64 1/6 (exp.f64 1)) (pow.f64 (.f64 -1/4 (.f64 (E.f64) (sqrt.f64 (/.f64 1 (exp.f64 1))))) 2))))) (pow.f64 M 4))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 (exp.f64 1) (E.f64))) (pow.f64 M 2))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 1))) (.f64 1/720 (.f64 (+.f64 (.f64 -15/4 (sqrt.f64 (/.f64 (pow.f64 (exp.f64 1) 3) (pow.f64 (E.f64) 3)))) (+.f64 (.f64 90 (/.f64 (-.f64 (.f64 1/6 (exp.f64 1)) (pow.f64 (.f64 -1/4 (.f64 (E.f64) (sqrt.f64 (/.f64 1 (exp.f64 1))))) 2)) (E.f64))) (.f64 360 (.f64 (sqrt.f64 (/.f64 1 (.f64 (E.f64) (exp.f64 1)))) (-.f64 (.f64 -31/720 (exp.f64 1)) (.f64 -1/4 (/.f64 (.f64 (E.f64) (-.f64 (.f64 1/6 (E.f64)) (pow.f64 (.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (E.f64))) (exp.f64 1))) 2))) (exp.f64 1)))))))) (pow.f64 M 6))))))
(fma.f64 1/24 (.f64 (fma.f64 -3/4 (/.f64 (E.f64) (E.f64)) (.f64 (.f64 12 (sqrt.f64 (/.f64 (exp.f64 -1) (E.f64)))) (-.f64 (.f64 (E.f64) 1/6) (pow.f64 (.f64 (.f64 -1/4 (E.f64)) (sqrt.f64 (exp.f64 -1))) 2)))) (pow.f64 M 4)) (+.f64 (fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 (E.f64) (E.f64))) (.f64 M M)) (log.f64 (sqrt.f64 (E.f64)))) (.f64 (.f64 1/720 (fma.f64 -15/4 (sqrt.f64 (/.f64 (pow.f64 (E.f64) 3) (pow.f64 (E.f64) 3))) (fma.f64 90 (/.f64 (-.f64 (.f64 (E.f64) 1/6) (pow.f64 (.f64 (.f64 -1/4 (E.f64)) (sqrt.f64 (exp.f64 -1))) 2)) (E.f64)) (.f64 (.f64 360 (sqrt.f64 (/.f64 (exp.f64 -1) (E.f64)))) (-.f64 (.f64 (E.f64) -31/720) (/.f64 (.f64 -1/4 (.f64 (E.f64) (-.f64 (.f64 (E.f64) 1/6) (pow.f64 (.f64 (*.f64 -1/4 (E.f64)) (sqrt.f64 (exp.f64 -1))) 2)))) (E.f64))))))) (pow.f64 M 6))))
(fma.f64 1/24 (.f64 (fma.f64 12 (.f64 (sqrt.f64 (exp.f64 -2)) (-.f64 (.f64 (E.f64) 1/6) (pow.f64 (.f64 (E.f64) (.f64 -1/4 (sqrt.f64 (exp.f64 -1)))) 2))) -3/4) (pow.f64 M 4)) (fma.f64 -1/4 (.f64 M M) (fma.f64 1/720 (.f64 (+.f64 -15/4 (fma.f64 90 (-.f64 1/6 (/.f64 (pow.f64 (.f64 (E.f64) (.f64 -1/4 (sqrt.f64 (exp.f64 -1)))) 2) (E.f64))) (.f64 (fma.f64 (E.f64) -31/720 (.f64 (.f64 1 (-.f64 (.f64 (E.f64) 1/6) (pow.f64 (.f64 (E.f64) (.f64 -1/4 (sqrt.f64 (exp.f64 -1)))) 2))) 1/4)) (.f64 (sqrt.f64 (exp.f64 -2)) 360)))) (pow.f64 M 6)) (log.f64 (sqrt.f64 (E.f64))))))
(fma.f64 1/24 (.f64 (fma.f64 12 (.f64 (sqrt.f64 (exp.f64 -2)) (fma.f64 (E.f64) 1/6 (.f64 -1/16 (.f64 (exp.f64 -1) (exp.f64 2))))) -3/4) (pow.f64 M 4)) (fma.f64 -1/4 (.f64 M M) (fma.f64 1/720 (.f64 (+.f64 -15/4 (fma.f64 90 (-.f64 1/6 (/.f64 (.f64 (exp.f64 -1) (.f64 1/16 (exp.f64 2))) (E.f64))) (.f64 (fma.f64 (E.f64) -31/720 (.f64 (fma.f64 (E.f64) 1/6 (.f64 -1/16 (.f64 (exp.f64 -1) (exp.f64 2)))) 1/4)) (*.f64 (sqrt.f64 (exp.f64 -2)) 360)))) (pow.f64 M 6)) (log.f64 (sqrt.f64 (E.f64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (neg.f64 M))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (neg.f64 M))))) (+.f64 (.f64 -1/4 (.f64 K (*.f64 (sin.f64 (neg.f64 M)) (+.f64 n m)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M)))) (fma.f64 -1/4 (.f64 (.f64 K (neg.f64 (sin.f64 M))) (+.f64 n m)) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M))))))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M))))) (.f64 -1/4 (.f64 (neg.f64 (sin.f64 M)) (.f64 K (+.f64 n m)))))
(+.f64 (.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M))))) (.f64 (neg.f64 (.f64 (.f64 -1/4 K) (sin.f64 M))) (+.f64 n m)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 K 2) (-.f64 (+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (pow.f64 (+.f64 n m) 2))) (+.f64 (.f64 -1/16 (.f64 (pow.f64 (sin.f64 (neg.f64 M)) 2) (pow.f64 (+.f64 n m) 2))) (.f64 1/8 (.f64 (pow.f64 (sin.f64 (neg.f64 M)) 2) (pow.f64 (+.f64 n m) 2))))) (.f64 1/16 (.f64 (pow.f64 (sin.f64 (neg.f64 M)) 2) (pow.f64 (+.f64 n m) 2)))))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (neg.f64 M))))) (+.f64 (.f64 -1/4 (.f64 K (*.f64 (sin.f64 (neg.f64 M)) (+.f64 n m)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M)))))))
(fma.f64 1/2 (.f64 (.f64 K K) (+.f64 (fma.f64 -1/8 (.f64 (cos.f64 M) (pow.f64 (+.f64 n m) 2)) (.f64 (.f64 1/16 (pow.f64 (neg.f64 (sin.f64 M)) 2)) (pow.f64 (+.f64 n m) 2))) (.f64 (.f64 -1/16 (pow.f64 (neg.f64 (sin.f64 M)) 2)) (pow.f64 (+.f64 n m) 2)))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M)))) (fma.f64 -1/4 (.f64 (*.f64 K (neg.f64 (sin.f64 M))) (+.f64 n m)) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M)))))))
(fma.f64 1/2 (.f64 K (.f64 K (fma.f64 (.f64 (cos.f64 M) -1/8) (pow.f64 (+.f64 n m) 2) 0))) (+.f64 (.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M))))) (.f64 -1/4 (.f64 (neg.f64 (sin.f64 M)) (*.f64 K (+.f64 n m))))))
(fma.f64 1/2 (.f64 K (.f64 K (.f64 (cos.f64 M) (.f64 (pow.f64 (+.f64 n m) 2) -1/8)))) (+.f64 (.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M))))) (.f64 (neg.f64 (.f64 (.f64 -1/4 K) (sin.f64 M))) (+.f64 n m))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 K 2) (-.f64 (+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (pow.f64 (+.f64 n m) 2))) (+.f64 (.f64 -1/16 (.f64 (pow.f64 (sin.f64 (neg.f64 M)) 2) (pow.f64 (+.f64 n m) 2))) (.f64 1/8 (.f64 (pow.f64 (sin.f64 (neg.f64 M)) 2) (pow.f64 (+.f64 n m) 2))))) (.f64 1/16 (.f64 (pow.f64 (sin.f64 (neg.f64 M)) 2) (pow.f64 (+.f64 n m) 2)))))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (neg.f64 M))))) (+.f64 (.f64 -1/4 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (+.f64 n m)))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M)))) (.f64 1/6 (.f64 (pow.f64 K 3) (+.f64 (.f64 -1/32 (.f64 (pow.f64 (sin.f64 (neg.f64 M)) 3) (pow.f64 (+.f64 n m) 3))) (+.f64 (.f64 3/4 (/.f64 (.f64 (-.f64 (.f64 (exp.f64 (cos.f64 (neg.f64 M))) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (pow.f64 (+.f64 n m) 2))) (.f64 1/8 (.f64 (pow.f64 (sin.f64 (neg.f64 M)) 2) (pow.f64 (+.f64 n m) 2))))) (pow.f64 (.f64 -1/4 (.f64 (sqrt.f64 (exp.f64 (cos.f64 (neg.f64 M)))) (.f64 (sin.f64 (neg.f64 M)) (+.f64 n m)))) 2)) (.f64 (sin.f64 (neg.f64 M)) (+.f64 n m))) (exp.f64 (cos.f64 (neg.f64 M))))) (.f64 3 (/.f64 (-.f64 (.f64 (exp.f64 (cos.f64 (neg.f64 M))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 (sin.f64 (neg.f64 M)) 3) (pow.f64 (+.f64 n m) 3))) (+.f64 (.f64 1/48 (.f64 (sin.f64 (neg.f64 M)) (pow.f64 (+.f64 n m) 3))) (.f64 1/16 (.f64 (cos.f64 (neg.f64 M)) (.f64 (sin.f64 (neg.f64 M)) (pow.f64 (+.f64 n m) 3))))))) (.f64 -1/4 (.f64 (sin.f64 (neg.f64 M)) (.f64 (-.f64 (.f64 (exp.f64 (cos.f64 (neg.f64 M))) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (pow.f64 (+.f64 n m) 2))) (.f64 1/8 (.f64 (pow.f64 (sin.f64 (neg.f64 M)) 2) (pow.f64 (+.f64 n m) 2))))) (pow.f64 (.f64 -1/4 (.f64 (sqrt.f64 (exp.f64 (cos.f64 (neg.f64 M)))) (.f64 (sin.f64 (neg.f64 M)) (+.f64 n m)))) 2)) (+.f64 n m))))) (exp.f64 (cos.f64 (neg.f64 M)))))))))))))
(fma.f64 1/2 (.f64 (.f64 K K) (+.f64 (fma.f64 -1/8 (.f64 (cos.f64 M) (pow.f64 (+.f64 n m) 2)) (.f64 (.f64 1/16 (pow.f64 (neg.f64 (sin.f64 M)) 2)) (pow.f64 (+.f64 n m) 2))) (.f64 (.f64 -1/16 (pow.f64 (neg.f64 (sin.f64 M)) 2)) (pow.f64 (+.f64 n m) 2)))) (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M)))) (+.f64 (fma.f64 -1/4 (.f64 (.f64 K (neg.f64 (sin.f64 M))) (+.f64 n m)) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M))))) (.f64 (.f64 1/6 (pow.f64 K 3)) (fma.f64 -1/32 (.f64 (pow.f64 (neg.f64 (sin.f64 M)) 3) (pow.f64 (+.f64 n m) 3)) (fma.f64 3/4 (/.f64 (-.f64 (.f64 (exp.f64 (cos.f64 M)) (fma.f64 -1/8 (.f64 (cos.f64 M) (pow.f64 (+.f64 n m) 2)) (.f64 (.f64 (pow.f64 (+.f64 n m) 2) (pow.f64 (neg.f64 (sin.f64 M)) 2)) 1/8))) (pow.f64 (.f64 -1/4 (.f64 (sqrt.f64 (exp.f64 (cos.f64 M))) (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)))) 2)) (/.f64 (exp.f64 (cos.f64 M)) (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)))) (.f64 3 (/.f64 (-.f64 (.f64 (exp.f64 (cos.f64 M)) (fma.f64 -1/48 (.f64 (pow.f64 (neg.f64 (sin.f64 M)) 3) (pow.f64 (+.f64 n m) 3)) (fma.f64 1/48 (.f64 (neg.f64 (sin.f64 M)) (pow.f64 (+.f64 n m) 3)) (.f64 1/16 (.f64 (cos.f64 M) (.f64 (neg.f64 (sin.f64 M)) (pow.f64 (+.f64 n m) 3))))))) (.f64 (.f64 -1/4 (neg.f64 (sin.f64 M))) (.f64 (+.f64 n m) (-.f64 (.f64 (exp.f64 (cos.f64 M)) (fma.f64 -1/8 (.f64 (cos.f64 M) (pow.f64 (+.f64 n m) 2)) (.f64 (.f64 (pow.f64 (+.f64 n m) 2) (pow.f64 (neg.f64 (sin.f64 M)) 2)) 1/8))) (pow.f64 (.f64 -1/4 (.f64 (sqrt.f64 (exp.f64 (cos.f64 M))) (*.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)))) 2))))) (exp.f64 (cos.f64 M))))))))))
(+.f64 (fma.f64 1/2 (.f64 K (.f64 K (fma.f64 (.f64 (cos.f64 M) -1/8) (pow.f64 (+.f64 n m) 2) 0))) (+.f64 (.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M))))) (.f64 -1/4 (.f64 (neg.f64 (sin.f64 M)) (.f64 K (+.f64 n m)))))) (.f64 (fma.f64 -1/32 (.f64 (neg.f64 (pow.f64 (sin.f64 M) 3)) (pow.f64 (+.f64 n m) 3)) (fma.f64 3 (/.f64 (fma.f64 (exp.f64 (cos.f64 M)) (fma.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 M) 3)) (pow.f64 (+.f64 n m) 3)) -1/48 (.f64 (neg.f64 (.f64 (pow.f64 (+.f64 n m) 3) (sin.f64 M))) (+.f64 (.f64 (cos.f64 M) 1/16) 1/48))) (.f64 (.f64 1/4 (neg.f64 (sin.f64 M))) (.f64 (+.f64 n m) (-.f64 (.f64 (exp.f64 (cos.f64 M)) (.f64 (pow.f64 (+.f64 n m) 2) (+.f64 (.f64 (cos.f64 M) -1/8) (.f64 (.f64 (sin.f64 M) (sin.f64 M)) 1/8)))) (pow.f64 (.f64 -1/4 (.f64 (sqrt.f64 (exp.f64 (cos.f64 M))) (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)))) 2))))) (exp.f64 (cos.f64 M))) (.f64 3/4 (/.f64 (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (/.f64 (exp.f64 (cos.f64 M)) (-.f64 (.f64 (exp.f64 (cos.f64 M)) (.f64 (pow.f64 (+.f64 n m) 2) (+.f64 (.f64 (cos.f64 M) -1/8) (.f64 (.f64 (sin.f64 M) (sin.f64 M)) 1/8)))) (pow.f64 (.f64 -1/4 (.f64 (sqrt.f64 (exp.f64 (cos.f64 M))) (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)))) 2))))))) (*.f64 1/6 (pow.f64 K 3))))
(+.f64 (fma.f64 1/2 (.f64 K (.f64 K (.f64 (cos.f64 M) (.f64 (pow.f64 (+.f64 n m) 2) -1/8)))) (+.f64 (.f64 2 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M))))) (.f64 (neg.f64 (.f64 (.f64 -1/4 K) (sin.f64 M))) (+.f64 n m)))) (.f64 (fma.f64 -1/32 (.f64 (neg.f64 (pow.f64 (sin.f64 M) 3)) (pow.f64 (+.f64 n m) 3)) (fma.f64 3 (+.f64 (/.f64 (fma.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 M) 3)) (pow.f64 (+.f64 n m) 3)) -1/48 (.f64 (neg.f64 (.f64 (pow.f64 (+.f64 n m) 3) (sin.f64 M))) (+.f64 (.f64 (cos.f64 M) 1/16) 1/48))) 1) (/.f64 (.f64 -1/4 (.f64 (.f64 (+.f64 n m) (-.f64 (.f64 (.f64 (pow.f64 (+.f64 n m) 2) (exp.f64 (cos.f64 M))) (+.f64 (.f64 (cos.f64 M) -1/8) (.f64 (.f64 (sin.f64 M) (sin.f64 M)) 1/8))) (pow.f64 (.f64 -1/4 (.f64 (sqrt.f64 (exp.f64 (cos.f64 M))) (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)))) 2))) (sin.f64 M))) (exp.f64 (cos.f64 M)))) (.f64 3/4 (/.f64 (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (/.f64 (exp.f64 (cos.f64 M)) (-.f64 (.f64 (.f64 (pow.f64 (+.f64 n m) 2) (exp.f64 (cos.f64 M))) (+.f64 (.f64 (cos.f64 M) -1/8) (.f64 (.f64 (sin.f64 M) (sin.f64 M)) 1/8))) (pow.f64 (.f64 -1/4 (.f64 (sqrt.f64 (exp.f64 (cos.f64 M))) (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)))) 2))))))) (.f64 1/6 (pow.f64 K 3))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 n m) 1/2) (neg.f64 M)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 n m) 1/2) (neg.f64 M)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M)))))
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 n m) 1/2) (neg.f64 M)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 n m) 1/2) (neg.f64 M)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m)))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 n m) 1/2) (neg.f64 M)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m)))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 n m) 1/2) (neg.f64 M)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m)))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 n m) 1/2) (neg.f64 M)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m)))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 M)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 n m) 1/2) (neg.f64 M)))))))

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)
✓	0.0b	(*.f64 K (+.f64 n m))
✓	34.9b	(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))

Compiler

Compiled 44 to 17 computations (61.4% saved)

series10.0ms (0.1%)

Counts

3 → 100

Calls

33 calls:

Time	Variable		Expression
1.0ms	K	@	(-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)
0.0ms	K	@	(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
0.0ms	m	@	(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
0.0ms	n	@	(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
0.0ms	M	@	(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))

rewrite94.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

653×	`log-prod_binary64`
496×	`fma-def_binary64`
357×	`pow2_binary64`
264×	`fma-neg_binary64`
247×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	35
1	254	35
2	3712	35

Stop Event

1×	node limit

Counts

3 → 229

Calls

Call 1

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

Outputs

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

simplify80.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	112	1593
1	347	1561
2	1091	1486
3	3332	1461

Stop Event

1×	node limit

Counts

329 → 284

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

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

localize27.0ms (0.1%)

Compiler: Compiled 80 to 38 computations (52.5% saved)

localize53.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 K (+.f64 m n))
	0.2b	(pow.f64 (sqrt.f64 (*.f64 K (+.f64 m n))) 2)
	8.1b	(sqrt.f64 (*.f64 K (+.f64 m n)))
	18.5b	(cos.f64 (-.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 K (+.f64 m n))) 2) 2) M))

Compiler

Compiled 90 to 35 computations (61.1% saved)

localize161.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(exp.f64 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) M)))
✓	0.4b	(-.f64 (+.f64 1 (exp.f64 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) M)))) 1)
✓	0.5b	(log.f64 (-.f64 (+.f64 1 (exp.f64 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) M)))) 1))
✓	35.0b	(cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) M))

Compiler

Compiled 171 to 89 computations (48% saved)

series28.0ms (0.2%)

Counts

4 → 192

Calls

48 calls:

Time	Variable		Point	Expression
5.0ms	n	@	inf	(log.f64 (-.f64 (+.f64 1 (exp.f64 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) M)))) 1))
2.0ms	m	@	0	(cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) M))
1.0ms	n	@	0	(-.f64 (+.f64 1 (exp.f64 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) M)))) 1)
1.0ms	m	@	0	(-.f64 (+.f64 1 (exp.f64 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) M)))) 1)
1.0ms	K	@	0	(-.f64 (+.f64 1 (exp.f64 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) M)))) 1)

rewrite121.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

763×	`prod-diff_binary64`
616×	`log-prod_binary64`
445×	`fma-def_binary64`
251×	`expm1-udef_binary64`
251×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	68
1	316	56
2	4229	56

Stop Event

1×	node limit

Counts

4 → 220

Calls

Call 1

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

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

simplify162.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

585×	`distribute-rgt-in_binary64`
583×	`distribute-lft-in_binary64`
363×	`associate-r_binary64`
350×	`associate-+l+_binary64`
286×	`associate-+r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	215	5744
1	685	5578
2	2617	5040
3	6798	5036

Stop Event

1×	node limit

Counts

412 → 179

Calls

Call 1

Inputs
(cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) M))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m))) (cos.f64 (+.f64 (.f64 1/2 (*.f64 n K)) M)))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) M)) (pow.f64 m 2)))) (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) M))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) M)) (pow.f64 m 2)))) (+.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 1/48 (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 n K)) M)) (*.f64 (pow.f64 K 3) (pow.f64 m 3)))))))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M))
(cos.f64 (fma.f64 (-.f64 n (.f64 -1 m)) (.f64 1/2 K) M))
(cos.f64 (fma.f64 (-.f64 n (.f64 -1 m)) (.f64 1/2 K) M))
(cos.f64 (fma.f64 (-.f64 n (.f64 -1 m)) (.f64 1/2 K) M))
(cos.f64 (fma.f64 (-.f64 n (.f64 -1 m)) (.f64 1/2 K) M))
(cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) M))
(+.f64 (.f64 -1/2 (.f64 n (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 K m)) M)) K))) (cos.f64 (+.f64 (.f64 1/2 (*.f64 K m)) M)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (pow.f64 K 2) (cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) M))))) (+.f64 (.f64 -1/2 (.f64 n (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 K m)) M)) K))) (cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) M))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (pow.f64 K 2) (cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) M))))) (+.f64 (.f64 -1/2 (.f64 n (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 K m)) M)) K))) (+.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 1/48 (.f64 (pow.f64 n 3) (.f64 (sin.f64 (+.f64 (.f64 1/2 (*.f64 K m)) M)) (pow.f64 K 3)))))))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M))
(cos.f64 (fma.f64 (-.f64 m (.f64 -1 n)) (.f64 1/2 K) M))
(cos.f64 (fma.f64 (-.f64 m (.f64 -1 n)) (.f64 1/2 K) M))
(cos.f64 (fma.f64 (-.f64 m (.f64 -1 n)) (.f64 1/2 K) M))
(cos.f64 (fma.f64 (-.f64 m (.f64 -1 n)) (.f64 1/2 K) M))
(cos.f64 M)
(+.f64 (.f64 -1/2 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m)))) (cos.f64 M))
(+.f64 (.f64 -1/2 (.f64 K (.f64 (sin.f64 M) (+.f64 n m)))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (pow.f64 (+.f64 n m) 2) (cos.f64 M)))) (cos.f64 M)))
(+.f64 (.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (sin.f64 M) (pow.f64 (+.f64 n m) 3)))) (+.f64 (.f64 -1/2 (.f64 K (.f64 (sin.f64 M) (+.f64 n m)))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (*.f64 (pow.f64 (+.f64 n m) 2) (cos.f64 M)))) (cos.f64 M))))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M)) (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M)) (+.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (pow.f64 M 2)))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (pow.f64 M 3))) (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M)) (+.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (pow.f64 M 2))))))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M))
(cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) M))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m))) (cos.f64 (+.f64 (.f64 1/2 (*.f64 n K)) M)))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) M)) (pow.f64 m 2)))) (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) M))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) M)) (pow.f64 m 2)))) (+.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 1/48 (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 n K)) M)) (*.f64 (pow.f64 K 3) (pow.f64 m 3)))))))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M))
(cos.f64 (fma.f64 (-.f64 n (.f64 -1 m)) (.f64 1/2 K) M))
(cos.f64 (fma.f64 (-.f64 n (.f64 -1 m)) (.f64 1/2 K) M))
(cos.f64 (fma.f64 (-.f64 n (.f64 -1 m)) (.f64 1/2 K) M))
(cos.f64 (fma.f64 (-.f64 n (.f64 -1 m)) (.f64 1/2 K) M))
(cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) M))
(+.f64 (.f64 -1/2 (.f64 n (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 K m)) M)) K))) (cos.f64 (+.f64 (.f64 1/2 (*.f64 K m)) M)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (pow.f64 K 2) (cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) M))))) (+.f64 (.f64 -1/2 (.f64 n (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 K m)) M)) K))) (cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) M))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (pow.f64 K 2) (cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) M))))) (+.f64 (.f64 -1/2 (.f64 n (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 K m)) M)) K))) (+.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 1/48 (.f64 (pow.f64 n 3) (.f64 (sin.f64 (+.f64 (.f64 1/2 (*.f64 K m)) M)) (pow.f64 K 3)))))))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M))
(cos.f64 (fma.f64 (-.f64 m (.f64 -1 n)) (.f64 1/2 K) M))
(cos.f64 (fma.f64 (-.f64 m (.f64 -1 n)) (.f64 1/2 K) M))
(cos.f64 (fma.f64 (-.f64 m (.f64 -1 n)) (.f64 1/2 K) M))
(cos.f64 (fma.f64 (-.f64 m (.f64 -1 n)) (.f64 1/2 K) M))
(cos.f64 M)
(+.f64 (.f64 -1/2 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m)))) (cos.f64 M))
(+.f64 (.f64 -1/2 (.f64 K (.f64 (sin.f64 M) (+.f64 n m)))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (pow.f64 (+.f64 n m) 2) (cos.f64 M)))) (cos.f64 M)))
(+.f64 (.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (sin.f64 M) (pow.f64 (+.f64 n m) 3)))) (+.f64 (.f64 -1/2 (.f64 K (.f64 (sin.f64 M) (+.f64 n m)))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (*.f64 (pow.f64 (+.f64 n m) 2) (cos.f64 M)))) (cos.f64 M))))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M)) (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M)) (+.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (pow.f64 M 2)))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (pow.f64 M 3))) (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M)) (+.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (pow.f64 M 2))))))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M))
(exp.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) M)))
(+.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) M))) (.f64 -1/2 (.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) M))) (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m)))))
(+.f64 (.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) M))) (.f64 (pow.f64 m 2) (+.f64 (.f64 1/8 (.f64 (pow.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 n K)) M)) 2) (pow.f64 K 2))) (.f64 -1/8 (.f64 (pow.f64 K 2) (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) M))))))) (+.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) M))) (.f64 -1/2 (.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) M))) (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m))))))
(+.f64 (.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) M))) (.f64 (pow.f64 m 2) (+.f64 (.f64 1/8 (.f64 (pow.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 n K)) M)) 2) (pow.f64 K 2))) (.f64 -1/8 (.f64 (pow.f64 K 2) (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) M))))))) (+.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) M))) (+.f64 (.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) M))) (.f64 (pow.f64 m 3) (+.f64 (.f64 1/48 (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 n K)) M)) (pow.f64 K 3))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 n K)) M)) 3) (pow.f64 K 3))) (.f64 1/16 (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 (pow.f64 K 3) (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) M))))))))) (.f64 -1/2 (.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) M))) (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 n K)) M)) (*.f64 K m)))))))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (-.f64 n (.f64 -1 m)) (.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (-.f64 n (.f64 -1 m)) (.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (-.f64 n (.f64 -1 m)) (.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (-.f64 n (.f64 -1 m)) (.f64 1/2 K) M)))
(exp.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) M)))
(+.f64 (.f64 -1/2 (.f64 n (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K (exp.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) M))))))) (exp.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) M))))
(+.f64 (.f64 -1/2 (.f64 n (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K (exp.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) M))))))) (+.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) M))) (.f64 (pow.f64 n 2) (.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 K m)) M)) 2) (pow.f64 K 2))) (.f64 -1/8 (.f64 (pow.f64 K 2) (cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) M))))) (exp.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) M)))))))
(+.f64 (.f64 (pow.f64 n 3) (.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) M))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 K m)) M)) 3) (pow.f64 K 3))) (+.f64 (.f64 1/48 (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 K m)) M)) (pow.f64 K 3))) (.f64 1/16 (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 (pow.f64 K 3) (cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) M))))))))) (+.f64 (.f64 -1/2 (.f64 n (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K (exp.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) M))))))) (+.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) M))) (.f64 (pow.f64 n 2) (.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 K m)) M)) 2) (pow.f64 K 2))) (.f64 -1/8 (.f64 (pow.f64 K 2) (cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) M))))) (exp.f64 (cos.f64 (+.f64 (.f64 1/2 (*.f64 K m)) M))))))))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (-.f64 m (.f64 -1 n)) (.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (-.f64 m (.f64 -1 n)) (.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (-.f64 m (.f64 -1 n)) (.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (-.f64 m (.f64 -1 n)) (.f64 1/2 K) M)))
(exp.f64 (cos.f64 M))
(+.f64 (exp.f64 (cos.f64 M)) (.f64 -1/2 (.f64 K (.f64 (exp.f64 (cos.f64 M)) (.f64 (sin.f64 M) (+.f64 n m))))))
(+.f64 (exp.f64 (cos.f64 M)) (+.f64 (.f64 -1/2 (.f64 K (.f64 (exp.f64 (cos.f64 M)) (.f64 (sin.f64 M) (+.f64 n m))))) (.f64 (exp.f64 (cos.f64 M)) (.f64 (pow.f64 K 2) (+.f64 (.f64 1/8 (.f64 (pow.f64 (sin.f64 M) 2) (pow.f64 (+.f64 n m) 2))) (.f64 -1/8 (.f64 (pow.f64 (+.f64 n m) 2) (cos.f64 M))))))))
(+.f64 (exp.f64 (cos.f64 M)) (+.f64 (.f64 (exp.f64 (cos.f64 M)) (.f64 (+.f64 (.f64 1/16 (.f64 (sin.f64 M) (.f64 (pow.f64 (+.f64 n m) 3) (cos.f64 M)))) (+.f64 (.f64 1/48 (.f64 (sin.f64 M) (pow.f64 (+.f64 n m) 3))) (.f64 -1/48 (.f64 (pow.f64 (sin.f64 M) 3) (pow.f64 (+.f64 n m) 3))))) (pow.f64 K 3))) (+.f64 (.f64 -1/2 (.f64 K (.f64 (exp.f64 (cos.f64 M)) (.f64 (sin.f64 M) (+.f64 n m))))) (.f64 (exp.f64 (cos.f64 M)) (.f64 (pow.f64 K 2) (+.f64 (.f64 1/8 (.f64 (pow.f64 (sin.f64 M) 2) (pow.f64 (+.f64 n m) 2))) (.f64 -1/8 (*.f64 (pow.f64 (+.f64 n m) 2) (cos.f64 M)))))))))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M)))
(exp.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))))
(+.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))) (.f64 -1 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (.f64 (exp.f64 (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m))))) M))))
(+.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))) (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))) M))) (.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))) (.f64 (+.f64 (.f64 -1/2 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))) (.f64 1/2 (pow.f64 (sin.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))) 2))) (pow.f64 M 2)))))
(+.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))) (+.f64 (.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))) (.f64 (+.f64 (.f64 -1/6 (pow.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) 3)) (+.f64 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))))) (.f64 1/6 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m))))))) (pow.f64 M 3))) (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))) M))) (.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))) (.f64 (+.f64 (.f64 -1/2 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))) (.f64 1/2 (pow.f64 (sin.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))) 2))) (pow.f64 M 2))))))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M)))
(exp.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) M)))
(+.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) M))) (.f64 -1/2 (.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) M))) (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m)))))
(+.f64 (.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) M))) (.f64 (pow.f64 m 2) (+.f64 (.f64 1/8 (.f64 (pow.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 n K)) M)) 2) (pow.f64 K 2))) (.f64 -1/8 (.f64 (pow.f64 K 2) (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) M))))))) (+.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) M))) (.f64 -1/2 (.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) M))) (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m))))))
(+.f64 (.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) M))) (.f64 (pow.f64 m 2) (+.f64 (.f64 1/8 (.f64 (pow.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 n K)) M)) 2) (pow.f64 K 2))) (.f64 -1/8 (.f64 (pow.f64 K 2) (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) M))))))) (+.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) M))) (+.f64 (.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) M))) (.f64 (pow.f64 m 3) (+.f64 (.f64 1/48 (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 n K)) M)) (pow.f64 K 3))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 n K)) M)) 3) (pow.f64 K 3))) (.f64 1/16 (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 (pow.f64 K 3) (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) M))))))))) (.f64 -1/2 (.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) M))) (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 n K)) M)) (*.f64 K m)))))))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (-.f64 n (.f64 -1 m)) (.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (-.f64 n (.f64 -1 m)) (.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (-.f64 n (.f64 -1 m)) (.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (-.f64 n (.f64 -1 m)) (.f64 1/2 K) M)))
(exp.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) M)))
(+.f64 (.f64 -1/2 (.f64 n (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K (exp.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) M))))))) (exp.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) M))))
(+.f64 (.f64 -1/2 (.f64 n (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K (exp.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) M))))))) (+.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) M))) (.f64 (pow.f64 n 2) (.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 K m)) M)) 2) (pow.f64 K 2))) (.f64 -1/8 (.f64 (pow.f64 K 2) (cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) M))))) (exp.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) M)))))))
(+.f64 (.f64 (pow.f64 n 3) (.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) M))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 K m)) M)) 3) (pow.f64 K 3))) (+.f64 (.f64 1/48 (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 K m)) M)) (pow.f64 K 3))) (.f64 1/16 (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 (pow.f64 K 3) (cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) M))))))))) (+.f64 (.f64 -1/2 (.f64 n (.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K (exp.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) M))))))) (+.f64 (exp.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) M))) (.f64 (pow.f64 n 2) (.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 (sin.f64 (+.f64 (.f64 1/2 (.f64 K m)) M)) 2) (pow.f64 K 2))) (.f64 -1/8 (.f64 (pow.f64 K 2) (cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) M))))) (exp.f64 (cos.f64 (+.f64 (.f64 1/2 (*.f64 K m)) M))))))))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (-.f64 m (.f64 -1 n)) (.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (-.f64 m (.f64 -1 n)) (.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (-.f64 m (.f64 -1 n)) (.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (-.f64 m (.f64 -1 n)) (.f64 1/2 K) M)))
(exp.f64 (cos.f64 M))
(+.f64 (exp.f64 (cos.f64 M)) (.f64 -1/2 (.f64 K (.f64 (exp.f64 (cos.f64 M)) (.f64 (sin.f64 M) (+.f64 n m))))))
(+.f64 (exp.f64 (cos.f64 M)) (+.f64 (.f64 -1/2 (.f64 K (.f64 (exp.f64 (cos.f64 M)) (.f64 (sin.f64 M) (+.f64 n m))))) (.f64 (exp.f64 (cos.f64 M)) (.f64 (pow.f64 K 2) (+.f64 (.f64 1/8 (.f64 (pow.f64 (sin.f64 M) 2) (pow.f64 (+.f64 n m) 2))) (.f64 -1/8 (.f64 (pow.f64 (+.f64 n m) 2) (cos.f64 M))))))))
(+.f64 (exp.f64 (cos.f64 M)) (+.f64 (.f64 (exp.f64 (cos.f64 M)) (.f64 (+.f64 (.f64 1/16 (.f64 (sin.f64 M) (.f64 (pow.f64 (+.f64 n m) 3) (cos.f64 M)))) (+.f64 (.f64 1/48 (.f64 (sin.f64 M) (pow.f64 (+.f64 n m) 3))) (.f64 -1/48 (.f64 (pow.f64 (sin.f64 M) 3) (pow.f64 (+.f64 n m) 3))))) (pow.f64 K 3))) (+.f64 (.f64 -1/2 (.f64 K (.f64 (exp.f64 (cos.f64 M)) (.f64 (sin.f64 M) (+.f64 n m))))) (.f64 (exp.f64 (cos.f64 M)) (.f64 (pow.f64 K 2) (+.f64 (.f64 1/8 (.f64 (pow.f64 (sin.f64 M) 2) (pow.f64 (+.f64 n m) 2))) (.f64 -1/8 (*.f64 (pow.f64 (+.f64 n m) 2) (cos.f64 M)))))))))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M)))
(exp.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))))
(+.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))) (.f64 -1 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (.f64 (exp.f64 (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m))))) M))))
(+.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))) (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))) M))) (.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))) (.f64 (+.f64 (.f64 -1/2 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))) (.f64 1/2 (pow.f64 (sin.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))) 2))) (pow.f64 M 2)))))
(+.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))) (+.f64 (.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))) (.f64 (+.f64 (.f64 -1/6 (pow.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) 3)) (+.f64 (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))))) (.f64 1/6 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m))))))) (pow.f64 M 3))) (+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))) M))) (.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))) (.f64 (+.f64 (.f64 -1/2 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))) (.f64 1/2 (pow.f64 (sin.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))) 2))) (pow.f64 M 2))))))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M)))
(exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 1/2 K) M)))

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

eval579.0ms (3.1%)

Compiler: Compiled 40415 to 21256 computations (47.4% saved)

prune209.0ms (1.1%)

Pruning

31 alts after pruning (30 fresh and 1 done)

	Pruned	Kept	Total
New	1013	18	1031
Fresh	12	12	24
Picked	1	0	1
Done	3	1	4
Total	1029	31	1060

Error

1.4b

Counts

1060 → 31

Alt Table

Click to see full alt table

Status	Error	Program
	62.3b	(cos.f64 (-.f64 (.f64 1/2 (pow.f64 (sqrt.f64 (.f64 K (+.f64 n m))) 2)) M))
	56.4b	(.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (+.f64 (sqrt.f64 (.f64 K m)) (.f64 1/2 (.f64 n (sqrt.f64 (/.f64 K m))))) 2) 2) M)) (exp.f64 (neg.f64 l)))
	55.3b	(.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (exp.f64 (.f64 (log.f64 (*.f64 K (+.f64 m n))) 1/2)) 2) 2) M)) (exp.f64 (neg.f64 l)))
	16.1b	(.f64 (fma.f64 1/2 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) (neg.f64 M))) (*.f64 1/2 (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))))))
	24.0b	(.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 n (*.f64 n 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))))
	53.7b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))
	28.6b	(.f64 1 (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	33.2b	(.f64 (log.f64 (-.f64 (+.f64 1 (exp.f64 (cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) M)))) 1)) (exp.f64 (-.f64 (neg.f64 (.f64 n (*.f64 n 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))))
	60.8b	(cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
	62.2b	(cos.f64 (-.f64 (.f64 1/2 (fma.f64 (.f64 m (sqrt.f64 K)) (sqrt.f64 K) (*.f64 K n))) M))
	45.8b	(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
	35.9b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (.f64 n (.f64 n -1/4))))
	61.6b	(cos.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 n n) (.f64 m m)) K) (-.f64 n m))) M))
	34.0b	(.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (+.f64 m n) (.f64 K 1/2) M)))) 3)) (exp.f64 (-.f64 (neg.f64 (.f64 n (.f64 n 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))))
	60.9b	(cos.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) M)) 3))
	33.2b	(.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (exp.f64 (-.f64 (neg.f64 (.f64 n (*.f64 n 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))))
	60.9b	(log.f64 (exp.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) M))))
	60.6b	(cos.f64 (.f64 n (.f64 K 1/2)))
	60.6b	(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
✓	27.2b	(.f64 1 (exp.f64 (-.f64 (neg.f64 (.f64 m (*.f64 m 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))))
	16.1b	(.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (+.f64 m n) (.f64 1/2 K) (neg.f64 M)))))) 3)) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	60.4b	(cos.f64 M)
	50.3b	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (pow.f64 (.f64 (-.f64 (.f64 m m) (.f64 n n)) K) 3) 1/3) (-.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))))))
	16.1b	(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) (neg.f64 M))) (*.f64 1/2 (cos.f64 M)))) 3) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	48.3b	(.f64 (cos.f64 (.f64 K (*.f64 m 1/2))) (exp.f64 (neg.f64 l)))
	45.8b	(/.f64 (cos.f64 M) (exp.f64 l))
	60.8b	(cos.f64 (.f64 K (.f64 m 1/2)))
	61.1b	(.f64 (+.f64 (neg.f64 l) 1) (cos.f64 (fma.f64 (+.f64 n m) (.f64 K 1/2) (neg.f64 M))))
	61.0b	(+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 K (*.f64 (sin.f64 (neg.f64 M)) (+.f64 n m)))))
	39.5b	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 (.f64 m m) (.f64 n n)) K)) 3) (-.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))))))
	33.2b	(.f64 (log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 (.f64 n (.f64 1/2 K)) M))))) (exp.f64 (-.f64 (neg.f64 (.f64 n (*.f64 n 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))))

Compiler

Compiled 742 to 543 computations (26.8% saved)

regimes303.0ms (1.6%)

Counts

77 → 1

Calls

Call 1

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

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:

49.0ms	l
49.0ms	m
47.0ms	n
47.0ms	K
46.0ms	M

Results

Error	Segments	Branch
1.6b	1	`K`
1.6b	1	`m`
1.6b	1	`n`
1.6b	1	`M`
1.6b	1	`l`
1.6b	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 1853 to 866 computations (53.3% saved)

regimes674.0ms (3.6%)

Counts

38 → 5

Calls

Call 1

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

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

Calls

5 calls:

217.0ms	l
209.0ms	K
95.0ms	n
94.0ms	M
42.0ms	m

Results

Error	Segments	Branch
17.0b	11	`K`
9.0b	2	`m`
5.5b	5	`n`
12.3b	4	`M`
14.5b	11	`l`

Compiler

Compiled 608 to 278 computations (54.3% saved)

bsearch190.0ms (1%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
44.0ms	1.9427138553525073e+36	1.202198075803467e+37
49.0ms	1.8499666568316277e-16	3.007319370885508e-15
48.0ms	1.8438546204824847e-111	3.513035640554275e-111
48.0ms	6.541726538313591e-183	5.935621157010014e-178

Compiler

Compiled 42 to 30 computations (28.6% saved)

regimes708.0ms (3.8%)

Counts

30 → 4

Calls

Call 1

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

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

Calls

5 calls:

201.0ms	M
199.0ms	K
160.0ms	l
77.0ms	n
59.0ms	m

Results

Error	Segments	Branch
17.0b	11	`K`
9.0b	2	`m`
6.5b	4	`n`
12.3b	4	`M`
14.5b	11	`l`

Compiler

Compiled 432 to 214 computations (50.5% saved)

bsearch204.0ms (1.1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
74.0ms	1.8499666568316277e-16	3.007319370885508e-15
47.0ms	1.8438546204824847e-111	3.513035640554275e-111
82.0ms	6.541726538313591e-183	5.935621157010014e-178

Compiler

Compiled 42 to 30 computations (28.6% saved)

regimes521.0ms (2.8%)

Counts

28 → 4

Calls

Call 1

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

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

Calls

5 calls:

179.0ms	l
152.0ms	K
75.0ms	n
72.0ms	M
30.0ms	m

Results

Error	Segments	Branch
18.3b	8	`K`
9.0b	2	`m`
6.5b	4	`n`
12.3b	4	`M`
14.5b	11	`l`

Compiler

Compiled 397 to 199 computations (49.9% saved)

bsearch215.0ms (1.2%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
86.0ms	1.8499666568316277e-16	3.007319370885508e-15
48.0ms	1.8438546204824847e-111	3.513035640554275e-111
81.0ms	6.541726538313591e-183	5.935621157010014e-178

Compiler

Compiled 42 to 30 computations (28.6% saved)

regimes1.0s (5.4%)

Counts

27 → 4

Calls

Call 1

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

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

Calls

5 calls:

275.0ms	l
230.0ms	n
211.0ms	K
167.0ms	M
112.0ms	m

Results

Error	Segments	Branch
19.9b	9	`K`
13.4b	3	`m`
13.3b	4	`n`
14.1b	4	`M`
16.6b	12	`l`

Compiler

Compiled 380 to 192 computations (49.5% saved)

bsearch242.0ms (1.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
93.0ms	10.665760368864804	214.4354309437581
91.0ms	1.8438546204824847e-111	3.513035640554275e-111
57.0ms	6.541726538313591e-183	5.935621157010014e-178

Compiler

Compiled 42 to 30 computations (28.6% saved)

regimes218.0ms (1.2%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

5 calls:

58.0ms	M
53.0ms	n
42.0ms	l
36.0ms	K
20.0ms	m

Results

Error	Segments	Branch
24.0b	4	`K`
14.6b	2	`m`
20.0b	4	`n`
15.3b	3	`M`
22.8b	3	`l`

Compiler

Compiled 219 to 125 computations (42.9% saved)

bsearch64.0ms (0.3%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
64.0ms	-426913219474687.8	-116449208371937.92

Compiler

Compiled 42 to 30 computations (28.6% saved)

regimes107.0ms (0.6%)

Counts

17 → 2

Calls

Call 1

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

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

Calls

5 calls:

52.0ms	M
18.0ms	l
10.0ms	m
10.0ms	K
10.0ms	n

Results

Error	Segments	Branch
28.6b	1	`K`
28.6b	1	`m`
28.6b	1	`n`
24.9b	3	`M`
24.3b	2	`l`

Compiler

Compiled 203 to 117 computations (42.4% saved)

bsearch84.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
84.0ms	1.6297475671312638e-11	2.620809148972493e-7

Compiler

Compiled 42 to 30 computations (28.6% saved)

regimes139.0ms (0.7%)

Counts

12 → 1

Calls

Call 1

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

Calls

5 calls:

103.0ms	l
8.0ms	K
8.0ms	n
8.0ms	M
7.0ms	m

Results

Error	Segments	Branch
45.8b	1	`K`
45.8b	1	`m`
45.8b	1	`n`
45.8b	1	`M`
45.8b	1	`l`

Compiler

Compiled 130 to 80 computations (38.5% saved)

regimes63.0ms (0.3%)

Accuracy

Total -1.3b remaining (-2.2%)

Threshold costs -1.3b (-2.2%)

Counts

7 → 1

Calls

Call 1

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

Outputs
(cos.f64 M)

Calls

5 calls:

38.0ms	K
6.0ms	M
6.0ms	l
5.0ms	n
5.0ms	m

Results

Error	Segments	Branch
60.4b	1	`K`
60.4b	1	`m`
60.4b	1	`n`
60.4b	1	`M`
60.4b	1	`l`

Compiler

Compiled 93 to 65 computations (30.1% saved)

simplify28.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

32×	`*-commutative_binary64`
30×	`+-commutative_binary64`
26×	`sub-neg_binary64`
17×	`neg-sub0_binary64`
17×	`neg-mul-1_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	85	611
1	140	587
2	196	587
3	244	571
4	274	571
5	284	571

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(if (<=.f64 n 7824012441755049/1196016433265952743395471289404697169072810493804166494441751843412187589432751524808206008009981008223572409600860332310053179810480242818613945648997260116165130891915497295074524972252293700255744) (.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 m (.f64 m 1/4))) (-.f64 l (fabs.f64 (-.f64 m n)))))) (if (<=.f64 n 4992577955641037/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576) (.f64 1 (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n)))))) (if (<=.f64 n 1876089074347859/10141204801825835211973625643008) (.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 m (.f64 m 1/4))) (-.f64 l (fabs.f64 (-.f64 m n)))))) (if (<=.f64 n 1942713855352507271327108563698974720) (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (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 n (*.f64 n 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))))))))
(if (<=.f64 n 7824012441755049/1196016433265952743395471289404697169072810493804166494441751843412187589432751524808206008009981008223572409600860332310053179810480242818613945648997260116165130891915497295074524972252293700255744) (.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 m (.f64 m 1/4))) (-.f64 l (fabs.f64 (-.f64 m n)))))) (if (<=.f64 n 4992577955641037/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576) (.f64 1 (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n)))))) (if (<=.f64 n 1876089074347859/10141204801825835211973625643008) (.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)))))))))
(if (<=.f64 n 7824012441755049/1196016433265952743395471289404697169072810493804166494441751843412187589432751524808206008009981008223572409600860332310053179810480242818613945648997260116165130891915497295074524972252293700255744) (.f64 1 (exp.f64 (-.f64 (neg.f64 (.f64 m (.f64 m 1/4))) (-.f64 l (fabs.f64 (-.f64 m n)))))) (if (<=.f64 n 4992577955641037/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576) (.f64 1 (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n)))))) (if (<=.f64 n 1876089074347859/10141204801825835211973625643008) (.f64 1 (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)))))))))
(if (<=.f64 n 7824012441755049/1196016433265952743395471289404697169072810493804166494441751843412187589432751524808206008009981008223572409600860332310053179810480242818613945648997260116165130891915497295074524972252293700255744) (.f64 1 (exp.f64 (-.f64 (neg.f64 (.f64 m (.f64 m 1/4))) (-.f64 l (fabs.f64 (-.f64 m n)))))) (if (<=.f64 n 4992577955641037/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576) (.f64 1 (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n)))))) (if (<=.f64 n 6004289302855317/562949953421312) (.f64 1 (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 n (.f64 n -1/4)))))))
(if (<=.f64 m -6830611511595005/16) (.f64 1 (exp.f64 (-.f64 (neg.f64 (.f64 m (.f64 m 1/4))) (-.f64 l (fabs.f64 (-.f64 m n)))))) (.f64 1 (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n)))))))
(if (<=.f64 l 1260956104549831/77371252455336267181195264) (.f64 1 (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n)))))) (/.f64 (cos.f64 M) (exp.f64 l)))
(/.f64 (cos.f64 M) (exp.f64 l))
(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)) (neg.f64 l)) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(if (<=.f64 n 7824012441755049/1196016433265952743395471289404697169072810493804166494441751843412187589432751524808206008009981008223572409600860332310053179810480242818613945648997260116165130891915497295074524972252293700255744) (.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 m (.f64 m 1/4))) (-.f64 l (fabs.f64 (-.f64 m n)))))) (if (<=.f64 n 4992577955641037/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576) (.f64 1 (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n)))))) (if (<=.f64 n 1876089074347859/10141204801825835211973625643008) (.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 m (.f64 m 1/4))) (-.f64 l (fabs.f64 (-.f64 m n)))))) (if (<=.f64 n 1942713855352507271327108563698974720) (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (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 n (*.f64 n 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))))))))
(if (<=.f64 n 7824012441755049/1196016433265952743395471289404697169072810493804166494441751843412187589432751524808206008009981008223572409600860332310053179810480242818613945648997260116165130891915497295074524972252293700255744) (.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 m (.f64 m 1/4))) (-.f64 l (fabs.f64 (-.f64 m n)))))) (if (<=.f64 n 4992577955641037/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576) (exp.f64 (-.f64 (.f64 M (neg.f64 M)) (-.f64 l (fabs.f64 (-.f64 m n))))) (if (<=.f64 n 1876089074347859/10141204801825835211973625643008) (.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 m (.f64 m 1/4))) (-.f64 l (fabs.f64 (-.f64 m n)))))) (if (<=.f64 n 1942713855352507271327108563698974720) (.f64 (exp.f64 (-.f64 (.f64 M (neg.f64 M)) (-.f64 l (fabs.f64 (-.f64 m n))))) (cos.f64 (.f64 K (.f64 n 1/2)))) (.f64 (cos.f64 M) (exp.f64 (-.f64 (.f64 (neg.f64 n) (.f64 n 1/4)) (-.f64 l (fabs.f64 (-.f64 m n))))))))))
(if (<=.f64 n 7824012441755049/1196016433265952743395471289404697169072810493804166494441751843412187589432751524808206008009981008223572409600860332310053179810480242818613945648997260116165130891915497295074524972252293700255744) (.f64 (cos.f64 M) (exp.f64 (-.f64 (.f64 m (.f64 m -1/4)) (-.f64 l (fabs.f64 (-.f64 m n)))))) (if (<=.f64 n 4992577955641037/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576) (exp.f64 (-.f64 (.f64 M (neg.f64 M)) (-.f64 l (fabs.f64 (-.f64 m n))))) (if (<=.f64 n 1876089074347859/10141204801825835211973625643008) (.f64 (cos.f64 M) (exp.f64 (-.f64 (.f64 m (.f64 m -1/4)) (-.f64 l (fabs.f64 (-.f64 m n)))))) (if (<=.f64 n 1942713855352507271327108563698974720) (.f64 (exp.f64 (-.f64 (.f64 M (neg.f64 M)) (-.f64 l (fabs.f64 (-.f64 m n))))) (cos.f64 (.f64 K (.f64 n 1/2)))) (.f64 (cos.f64 M) (exp.f64 (-.f64 (.f64 n (.f64 n -1/4)) (-.f64 l (fabs.f64 (-.f64 m n))))))))))
(if (<=.f64 n 7824012441755049/1196016433265952743395471289404697169072810493804166494441751843412187589432751524808206008009981008223572409600860332310053179810480242818613945648997260116165130891915497295074524972252293700255744) (.f64 (cos.f64 M) (exp.f64 (+.f64 (.f64 m (.f64 m -1/4)) (-.f64 (fabs.f64 (-.f64 m n)) l)))) (if (<=.f64 n 4992577955641037/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))) (if (<=.f64 n 1876089074347859/10141204801825835211973625643008) (.f64 (cos.f64 M) (exp.f64 (+.f64 (.f64 m (.f64 m -1/4)) (-.f64 (fabs.f64 (-.f64 m n)) l)))) (if (<=.f64 n 1942713855352507271327108563698974720) (.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))) (cos.f64 (.f64 K (.f64 n 1/2)))) (.f64 (cos.f64 M) (exp.f64 (+.f64 (.f64 n (.f64 n -1/4)) (-.f64 (fabs.f64 (-.f64 m n)) l))))))))
(if (<=.f64 n 7824012441755049/1196016433265952743395471289404697169072810493804166494441751843412187589432751524808206008009981008223572409600860332310053179810480242818613945648997260116165130891915497295074524972252293700255744) (.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 m (.f64 m 1/4))) (-.f64 l (fabs.f64 (-.f64 m n)))))) (if (<=.f64 n 4992577955641037/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576) (.f64 1 (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n)))))) (if (<=.f64 n 1876089074347859/10141204801825835211973625643008) (.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)))))))))
(if (<=.f64 n 7824012441755049/1196016433265952743395471289404697169072810493804166494441751843412187589432751524808206008009981008223572409600860332310053179810480242818613945648997260116165130891915497295074524972252293700255744) (.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 m (.f64 m 1/4))) (-.f64 l (fabs.f64 (-.f64 m n)))))) (if (<=.f64 n 4992577955641037/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576) (exp.f64 (-.f64 (.f64 M (neg.f64 M)) (-.f64 l (fabs.f64 (-.f64 m n))))) (if (<=.f64 n 1876089074347859/10141204801825835211973625643008) (.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 (.f64 (neg.f64 n) (.f64 n 1/4)) (-.f64 l (fabs.f64 (-.f64 m n)))))))))
(if (<=.f64 n 7824012441755049/1196016433265952743395471289404697169072810493804166494441751843412187589432751524808206008009981008223572409600860332310053179810480242818613945648997260116165130891915497295074524972252293700255744) (.f64 (cos.f64 M) (exp.f64 (-.f64 (.f64 m (.f64 m -1/4)) (-.f64 l (fabs.f64 (-.f64 m n)))))) (if (<=.f64 n 4992577955641037/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576) (exp.f64 (-.f64 (.f64 M (neg.f64 M)) (-.f64 l (fabs.f64 (-.f64 m n))))) (if (<=.f64 n 1876089074347859/10141204801825835211973625643008) (.f64 (cos.f64 M) (exp.f64 (-.f64 (.f64 m (.f64 m -1/4)) (-.f64 l (fabs.f64 (-.f64 m n)))))) (.f64 (cos.f64 M) (exp.f64 (-.f64 (.f64 n (.f64 n -1/4)) (-.f64 l (fabs.f64 (-.f64 m n)))))))))
(if (<=.f64 n 7824012441755049/1196016433265952743395471289404697169072810493804166494441751843412187589432751524808206008009981008223572409600860332310053179810480242818613945648997260116165130891915497295074524972252293700255744) (.f64 (cos.f64 M) (exp.f64 (+.f64 (.f64 m (.f64 m -1/4)) (-.f64 (fabs.f64 (-.f64 m n)) l)))) (if (<=.f64 n 4992577955641037/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))) (if (<=.f64 n 1876089074347859/10141204801825835211973625643008) (.f64 (cos.f64 M) (exp.f64 (+.f64 (.f64 m (.f64 m -1/4)) (-.f64 (fabs.f64 (-.f64 m n)) l)))) (.f64 (cos.f64 M) (exp.f64 (+.f64 (.f64 n (.f64 n -1/4)) (-.f64 (fabs.f64 (-.f64 m n)) l)))))))
(if (<=.f64 n 7824012441755049/1196016433265952743395471289404697169072810493804166494441751843412187589432751524808206008009981008223572409600860332310053179810480242818613945648997260116165130891915497295074524972252293700255744) (.f64 1 (exp.f64 (-.f64 (neg.f64 (.f64 m (.f64 m 1/4))) (-.f64 l (fabs.f64 (-.f64 m n)))))) (if (<=.f64 n 4992577955641037/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576) (.f64 1 (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n)))))) (if (<=.f64 n 1876089074347859/10141204801825835211973625643008) (.f64 1 (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)))))))))
(if (<=.f64 n 7824012441755049/1196016433265952743395471289404697169072810493804166494441751843412187589432751524808206008009981008223572409600860332310053179810480242818613945648997260116165130891915497295074524972252293700255744) (exp.f64 (-.f64 (neg.f64 (.f64 m (.f64 m 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))) (if (<=.f64 n 4992577955641037/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576) (exp.f64 (-.f64 (.f64 M (neg.f64 M)) (-.f64 l (fabs.f64 (-.f64 m n))))) (if (<=.f64 n 1876089074347859/10141204801825835211973625643008) (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 (.f64 (neg.f64 n) (.f64 n 1/4)) (-.f64 l (fabs.f64 (-.f64 m n)))))))))
(if (<=.f64 n 7824012441755049/1196016433265952743395471289404697169072810493804166494441751843412187589432751524808206008009981008223572409600860332310053179810480242818613945648997260116165130891915497295074524972252293700255744) (exp.f64 (-.f64 (.f64 m (.f64 m -1/4)) (-.f64 l (fabs.f64 (-.f64 m n))))) (if (<=.f64 n 4992577955641037/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576) (exp.f64 (-.f64 (.f64 M (neg.f64 M)) (-.f64 l (fabs.f64 (-.f64 m n))))) (if (<=.f64 n 1876089074347859/10141204801825835211973625643008) (exp.f64 (-.f64 (.f64 m (.f64 m -1/4)) (-.f64 l (fabs.f64 (-.f64 m n))))) (.f64 (cos.f64 M) (exp.f64 (-.f64 (.f64 n (.f64 n -1/4)) (-.f64 l (fabs.f64 (-.f64 m n)))))))))
(if (<=.f64 n 7824012441755049/1196016433265952743395471289404697169072810493804166494441751843412187589432751524808206008009981008223572409600860332310053179810480242818613945648997260116165130891915497295074524972252293700255744) (exp.f64 (+.f64 (.f64 m (.f64 m -1/4)) (-.f64 (fabs.f64 (-.f64 m n)) l))) (if (<=.f64 n 4992577955641037/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))) (if (<=.f64 n 1876089074347859/10141204801825835211973625643008) (exp.f64 (+.f64 (.f64 m (.f64 m -1/4)) (-.f64 (fabs.f64 (-.f64 m n)) l))) (.f64 (cos.f64 M) (exp.f64 (+.f64 (.f64 n (.f64 n -1/4)) (-.f64 (fabs.f64 (-.f64 m n)) l)))))))
(if (<=.f64 n 7824012441755049/1196016433265952743395471289404697169072810493804166494441751843412187589432751524808206008009981008223572409600860332310053179810480242818613945648997260116165130891915497295074524972252293700255744) (.f64 1 (exp.f64 (-.f64 (neg.f64 (.f64 m (.f64 m 1/4))) (-.f64 l (fabs.f64 (-.f64 m n)))))) (if (<=.f64 n 4992577955641037/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576) (.f64 1 (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n)))))) (if (<=.f64 n 6004289302855317/562949953421312) (.f64 1 (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 n (.f64 n -1/4)))))))
(if (<=.f64 n 7824012441755049/1196016433265952743395471289404697169072810493804166494441751843412187589432751524808206008009981008223572409600860332310053179810480242818613945648997260116165130891915497295074524972252293700255744) (exp.f64 (-.f64 (neg.f64 (.f64 m (.f64 m 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))) (if (<=.f64 n 4992577955641037/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576) (exp.f64 (-.f64 (.f64 M (neg.f64 M)) (-.f64 l (fabs.f64 (-.f64 m n))))) (if (<=.f64 n 6004289302855317/562949953421312) (exp.f64 (-.f64 (neg.f64 (.f64 m (.f64 m 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))) (.f64 (cos.f64 (-.f64 (/.f64 (.f64 (+.f64 m n) K) 2) M)) (exp.f64 (.f64 n (*.f64 n -1/4)))))))
(if (<=.f64 n 7824012441755049/1196016433265952743395471289404697169072810493804166494441751843412187589432751524808206008009981008223572409600860332310053179810480242818613945648997260116165130891915497295074524972252293700255744) (exp.f64 (-.f64 (.f64 m (.f64 m -1/4)) (-.f64 l (fabs.f64 (-.f64 m n))))) (if (<=.f64 n 4992577955641037/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576) (exp.f64 (-.f64 (.f64 M (neg.f64 M)) (-.f64 l (fabs.f64 (-.f64 m n))))) (if (<=.f64 n 6004289302855317/562949953421312) (exp.f64 (-.f64 (.f64 m (.f64 m -1/4)) (-.f64 l (fabs.f64 (-.f64 m n))))) (.f64 (cos.f64 (-.f64 (/.f64 (.f64 (+.f64 m n) K) 2) M)) (exp.f64 (.f64 n (*.f64 n -1/4)))))))
(if (<=.f64 n 7824012441755049/1196016433265952743395471289404697169072810493804166494441751843412187589432751524808206008009981008223572409600860332310053179810480242818613945648997260116165130891915497295074524972252293700255744) (exp.f64 (+.f64 (.f64 m (.f64 m -1/4)) (-.f64 (fabs.f64 (-.f64 m n)) l))) (if (<=.f64 n 4992577955641037/2707685248164858261307045101702230179137145581421695874189921465443966120903931272499975005961073806735733604454495675614232576) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))) (if (<=.f64 n 6004289302855317/562949953421312) (exp.f64 (+.f64 (.f64 m (.f64 m -1/4)) (-.f64 (fabs.f64 (-.f64 m n)) l))) (.f64 (cos.f64 (-.f64 (/.f64 (.f64 (+.f64 m n) K) 2) M)) (exp.f64 (.f64 n (*.f64 n -1/4)))))))
(if (<=.f64 m -6830611511595005/16) (.f64 1 (exp.f64 (-.f64 (neg.f64 (.f64 m (.f64 m 1/4))) (-.f64 l (fabs.f64 (-.f64 m n)))))) (.f64 1 (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n)))))))
(if (<=.f64 m -6830611511595005/16) (exp.f64 (-.f64 (neg.f64 (.f64 m (.f64 m 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))) (exp.f64 (-.f64 (*.f64 M (neg.f64 M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(if (<=.f64 m -6830611511595005/16) (exp.f64 (-.f64 (.f64 m (.f64 m -1/4)) (-.f64 l (fabs.f64 (-.f64 m n))))) (exp.f64 (-.f64 (*.f64 M (neg.f64 M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(if (<=.f64 m -6830611511595005/16) (exp.f64 (+.f64 (.f64 m (.f64 m -1/4)) (-.f64 (fabs.f64 (-.f64 m n)) l))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (*.f64 M M))))
(if (<=.f64 l 1260956104549831/77371252455336267181195264) (.f64 1 (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n)))))) (/.f64 (cos.f64 M) (exp.f64 l)))
(if (<=.f64 l 1260956104549831/77371252455336267181195264) (exp.f64 (-.f64 (*.f64 M (neg.f64 M)) (-.f64 l (fabs.f64 (-.f64 m n))))) (/.f64 (cos.f64 M) (exp.f64 l)))
(if (<=.f64 l 1260956104549831/77371252455336267181195264) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (*.f64 M M))) (/.f64 (cos.f64 M) (exp.f64 l)))
(/.f64 (cos.f64 M) (exp.f64 l))
(cos.f64 M)

Compiler

Compiled 415 to 232 computations (44.1% saved)

soundness71.0ms (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)

end168.0ms (0.9%)

Remove: (sort m n)
Compiler: Compiled 425 to 186 computations (56.2% saved)