Details

analyze1.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
100%	99.8%	0%	0.2%	0%	0%	0%	1

Compiler

Compiled 35 to 24 computations (31.4% saved)

sample1.9s (6.9%)

Results

1.6s	7623×	body	256	valid
68.0ms	66×	body	1024	valid
64.0ms	321×	body	256	infinite
43.0ms	81×	body	1024	infinite
26.0ms	76×	body	512	infinite
21.0ms	60×	body	512	valid
19.0ms	28×	body	2048	infinite
1.0ms	1×	body	2048	valid

Bogosity

preprocess62.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

1114×	`exp-sum`
988×	`distribute-lft-in`
768×	`sub-neg`
684×	`cancel-sign-sub-inv`
656×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	156	979
1	434	979
2	1048	935
3	3760	935
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 (/.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 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) 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 (fabs.f64 (-.f64 K n)) (+.f64 l (pow.f64 (-.f64 (/.f64 (+.f64 K n) 2) M) 2)))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 n (+.f64 m K)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m K) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m K))))))
(*.f64 (cos.f64 (-.f64 (/.f64 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 K m) (/.f64 n 2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m K)) l) (pow.f64 (-.f64 (/.f64 (+.f64 K m) 2) M) 2))))
(.f64 (cos.f64 (-.f64 (.f64 (+.f64 K m) (/.f64 n 2)) M)) (exp.f64 (-.f64 (-.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 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) K) 2)))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 l (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 K (fabs.f64 (-.f64 m n))))))
(*.f64 (cos.f64 (-.f64 (/.f64 l (/.f64 2 (+.f64 m n))) M)) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) K) (fabs.f64 (-.f64 m n)))))
(.f64 (cos.f64 (-.f64 (.f64 (/.f64 l 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)) K))))
(.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 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 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 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 M n)) 2) m)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 M n) 2) m) 2)) (-.f64 l (fabs.f64 (-.f64 M n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n M)) 2) m)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n M) 2) m) 2)) (-.f64 l (fabs.f64 (-.f64 M n))))))
(.f64 (cos.f64 (-.f64 (.f64 (/.f64 K 2) (+.f64 n M)) m)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n M) 2) m) 2)) (-.f64 l (fabs.f64 (-.f64 M n))))))
(.f64 (cos.f64 (-.f64 (.f64 (+.f64 n M) (/.f64 K 2)) m)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 M n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n M) 2) m) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 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 n l)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n l) 2) M) 2)) (-.f64 m (fabs.f64 (-.f64 l n))))))
(.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 l n))))))
(.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 n l) (/.f64 K 2)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 l n)) (+.f64 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 (.f64 K (+.f64 m M)) 2) n)) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m M) 2) n) 2)) l) (fabs.f64 (-.f64 m M)))))
(.f64 (cos.f64 (-.f64 (.f64 (/.f64 K 2) (+.f64 m M)) n)) (exp.f64 (+.f64 (fabs.f64 (-.f64 m M)) (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m M) 2) n) 2)) l))))
(.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 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 (/.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 m l))))))
(.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 m l) (/.f64 K 2)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m l)) (+.f64 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 (/.f64 K 2) (+.f64 m n)) 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 (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 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) l)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 M (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) l) 2)))))

Symmetry

(sort m n)

Compiler

Compiled 39 to 28 computations (28.2% saved)

simplify74.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1196×	`exp-prod`
848×	`fma-neg`
754×	`associate-r`
650×	`associate-l`
504×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	89
1	60	89
2	140	85
3	446	85
4	1833	85
5	7760	85

Stop Event

1×	node limit

Counts

1 → 6

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

eval2.0ms (0%)

Compiler: Compiled 176 to 96 computations (45.5% saved)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	5	1	6
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	6	1	7

Accurracy

72.9%

Counts

7 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.9%	(/.f64 (cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 m n) 2)) M)) (exp.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m))))))

Compiler

Compiled 33 to 22 computations (33.3% saved)

localize409.0ms (1.5%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
✓	100.0%	(-.f64 (*.f64 K (/.f64 (+.f64 m n) 2)) M)
✓	100.0%	(*.f64 K (/.f64 (+.f64 m n) 2))
✓	40.5%	(cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 m n) 2)) M))

Compiler

Compiled 136 to 59 computations (56.6% saved)

series14.0ms (0.1%)

Counts

4 → 168

Calls

42 calls:

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

rewrite109.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1660×	`log-prod`
1422×	`fma-def`
646×	`expm1-udef`
644×	`log1p-udef`
482×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	98
1	347	98
2	4889	98

Stop Event

1×	node limit

Counts

4 → 216

Calls

Call 1

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

Outputs
(+.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)))
(+.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)))
(+.f64 0 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M))))
(+.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))
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(fma.f64 (*.f64 (+.f64 m n) 1/2) K (neg.f64 M))
(fma.f64 (.f64 (+.f64 m n) 1/2) K (.f64 (neg.f64 M) 1))
(fma.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) 1 (neg.f64 M))
(fma.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) 1 (*.f64 (neg.f64 M) 1))
(fma.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M)) 1 (fma.f64 (neg.f64 M) 1 M))
(fma.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M)) 1 (fma.f64 (neg.f64 (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) 2) M))
(fma.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M)) 1 (+.f64 (neg.f64 M) M))
(fma.f64 1 (.f64 K (.f64 (+.f64 m n) 1/2)) (neg.f64 M))
(fma.f64 1 (.f64 K (.f64 (+.f64 m n) 1/2)) (*.f64 (neg.f64 M) 1))
(fma.f64 1 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M)) (fma.f64 (neg.f64 M) 1 M))
(fma.f64 1 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M)) (fma.f64 (neg.f64 (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) 2) M))
(fma.f64 1 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M)) (+.f64 (neg.f64 M) M))
(fma.f64 1 (neg.f64 M) (.f64 K (.f64 (+.f64 m n) 1/2)))
(fma.f64 (cbrt.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) (pow.f64 (cbrt.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) 2) (fma.f64 (neg.f64 M) 1 M))
(fma.f64 (cbrt.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) (pow.f64 (cbrt.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) 2) (fma.f64 (neg.f64 (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) 2) M))
(fma.f64 (cbrt.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) (pow.f64 (cbrt.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) 2) (+.f64 (neg.f64 M) M))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) 2) (cbrt.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) (fma.f64 (neg.f64 M) 1 M))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) 2) (cbrt.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) (fma.f64 (neg.f64 (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) 2) M))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) 2) (cbrt.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) (+.f64 (neg.f64 M) M))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) 1/2)) 2) (.f64 (cbrt.f64 (*.f64 (+.f64 m n) 1/2)) K) (neg.f64 M))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) 1/2)) 2) (.f64 (cbrt.f64 (.f64 (+.f64 m n) 1/2)) K) (.f64 (neg.f64 M) 1))
(fma.f64 (pow.f64 (cbrt.f64 M) 2) (neg.f64 (cbrt.f64 M)) (.f64 K (.f64 (+.f64 m n) 1/2)))
(fma.f64 (cbrt.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (pow.f64 (cbrt.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) 2) (neg.f64 M))
(fma.f64 (cbrt.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (pow.f64 (cbrt.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) 2) (*.f64 (neg.f64 M) 1))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) 2) (cbrt.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (neg.f64 M))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) 2) (cbrt.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (*.f64 (neg.f64 M) 1))
(fma.f64 (pow.f64 (cbrt.f64 K) 2) (.f64 (cbrt.f64 K) (.f64 (+.f64 m n) 1/2)) (neg.f64 M))
(fma.f64 (pow.f64 (cbrt.f64 K) 2) (.f64 (cbrt.f64 K) (.f64 (+.f64 m n) 1/2)) (*.f64 (neg.f64 M) 1))
(fma.f64 (sqrt.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) (sqrt.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) (fma.f64 (neg.f64 M) 1 M))
(fma.f64 (sqrt.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) (sqrt.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) (fma.f64 (neg.f64 (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) 2) M))
(fma.f64 (sqrt.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) (sqrt.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) (+.f64 (neg.f64 M) M))
(fma.f64 (sqrt.f64 (.f64 (+.f64 m n) 1/2)) (.f64 (sqrt.f64 (*.f64 (+.f64 m n) 1/2)) K) (neg.f64 M))
(fma.f64 (sqrt.f64 (.f64 (+.f64 m n) 1/2)) (.f64 (sqrt.f64 (.f64 (+.f64 m n) 1/2)) K) (.f64 (neg.f64 M) 1))
(fma.f64 (sqrt.f64 M) (neg.f64 (sqrt.f64 M)) (.f64 K (.f64 (+.f64 m n) 1/2)))
(fma.f64 (sqrt.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (sqrt.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (neg.f64 M))
(fma.f64 (sqrt.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (sqrt.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (*.f64 (neg.f64 M) 1))
(fma.f64 (sqrt.f64 K) (.f64 (sqrt.f64 K) (.f64 (+.f64 m n) 1/2)) (neg.f64 M))
(fma.f64 (sqrt.f64 K) (.f64 (sqrt.f64 K) (.f64 (+.f64 m n) 1/2)) (*.f64 (neg.f64 M) 1))
(fma.f64 (-.f64 (/.f64 (pow.f64 (.f64 K (+.f64 m n)) 3) 8) (pow.f64 M 3)) (/.f64 1 (fma.f64 M (fma.f64 K (.f64 (+.f64 m n) 1/2) M) (pow.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) 2))) (fma.f64 (neg.f64 M) 1 M))
(fma.f64 (-.f64 (/.f64 (pow.f64 (.f64 K (+.f64 m n)) 3) 8) (pow.f64 M 3)) (/.f64 1 (fma.f64 M (fma.f64 K (.f64 (+.f64 m n) 1/2) M) (pow.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) 2))) (fma.f64 (neg.f64 (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) 2) M))
(fma.f64 (-.f64 (/.f64 (pow.f64 (.f64 K (+.f64 m n)) 3) 8) (pow.f64 M 3)) (/.f64 1 (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 (neg.f64 M) M))
(fma.f64 (-.f64 (pow.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) 2) (.f64 M M)) (/.f64 1 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)) (fma.f64 (neg.f64 M) 1 M))
(fma.f64 (-.f64 (pow.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) 2) (.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))
(fma.f64 (-.f64 (pow.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) 2) (.f64 M M)) (/.f64 1 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)) (+.f64 (neg.f64 M) M))
(fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M))
(fma.f64 (.f64 K (+.f64 m n)) 1/2 (.f64 (neg.f64 M) 1))
(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)))
(fma.f64 (sqrt.f64 (neg.f64 M)) (sqrt.f64 (neg.f64 M)) (.f64 K (.f64 (+.f64 m n) 1/2)))
(fma.f64 (neg.f64 (sqrt.f64 M)) (sqrt.f64 M) (.f64 K (.f64 (+.f64 m n) 1/2)))
(fma.f64 -1 M (.f64 K (.f64 (+.f64 m n) 1/2)))
(fma.f64 (fma.f64 (sqrt.f64 (.f64 (+.f64 m n) 1/2)) (sqrt.f64 K) (sqrt.f64 M)) (-.f64 (sqrt.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))) (sqrt.f64 M)) (fma.f64 (neg.f64 M) 1 M))
(fma.f64 (fma.f64 (sqrt.f64 (.f64 (+.f64 m n) 1/2)) (sqrt.f64 K) (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))
(fma.f64 (fma.f64 (sqrt.f64 (.f64 (+.f64 m n) 1/2)) (sqrt.f64 K) (sqrt.f64 M)) (-.f64 (sqrt.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))) (sqrt.f64 M)) (+.f64 (neg.f64 M) M))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 M) 2)) (cbrt.f64 M) (.f64 K (.f64 (+.f64 m n) 1/2)))
(fma.f64 (.f64 K (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) 1/2)) 2)) (cbrt.f64 (*.f64 (+.f64 m n) 1/2)) (neg.f64 M))
(fma.f64 (.f64 K (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) 1/2)) 2)) (cbrt.f64 (.f64 (+.f64 m n) 1/2)) (.f64 (neg.f64 M) 1))
(fma.f64 (.f64 K (sqrt.f64 (.f64 (+.f64 m n) 1/2))) (sqrt.f64 (*.f64 (+.f64 m n) 1/2)) (neg.f64 M))
(fma.f64 (.f64 K (sqrt.f64 (.f64 (+.f64 m n) 1/2))) (sqrt.f64 (.f64 (+.f64 m n) 1/2)) (.f64 (neg.f64 M) 1))
(fma.f64 (.f64 (.f64 (+.f64 m n) 1/2) (pow.f64 (cbrt.f64 K) 2)) (cbrt.f64 K) (neg.f64 M))
(fma.f64 (.f64 (.f64 (+.f64 m n) 1/2) (pow.f64 (cbrt.f64 K) 2)) (cbrt.f64 K) (*.f64 (neg.f64 M) 1))
(fma.f64 (.f64 (.f64 (+.f64 m n) 1/2) (sqrt.f64 K)) (sqrt.f64 K) (neg.f64 M))
(fma.f64 (.f64 (.f64 (+.f64 m n) 1/2) (sqrt.f64 K)) (sqrt.f64 K) (*.f64 (neg.f64 M) 1))
(+.f64 0 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2))
(+.f64 (.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) (.f64 (+.f64 m n) 1/2)) (.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) (neg.f64 M)))
(+.f64 (.f64 (.f64 (+.f64 m n) 1/2) (-.f64 (.f64 (+.f64 m n) 1/2) M)) (.f64 (neg.f64 M) (-.f64 (*.f64 (+.f64 m n) 1/2) M)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2))) (cbrt.f64 (exp.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2))) 1)
(.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) (-.f64 (*.f64 (+.f64 m n) 1/2) M))
(.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) 1)
(.f64 1 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M)) 2) (cbrt.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 4)))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M)) 2) (.f64 (cbrt.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M)) (-.f64 (*.f64 (+.f64 m n) 1/2) M)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 4)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M)) 2))
(.f64 (sqrt.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M)) (.f64 (sqrt.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M)) (-.f64 (*.f64 (+.f64 m n) 1/2) M)))
(.f64 (.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) (sqrt.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M))) (sqrt.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M)))
(.f64 (.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) (pow.f64 (cbrt.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M)) 2)) (cbrt.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 m n) 3) 1/8) (pow.f64 M 3)) (-.f64 (.f64 (pow.f64 (+.f64 m n) 3) 1/8) (pow.f64 M 3))) (.f64 (fma.f64 M (fma.f64 (+.f64 m n) 1/2 M) (.f64 (pow.f64 (+.f64 m n) 2) 1/4)) (fma.f64 M (fma.f64 (+.f64 m n) 1/2 M) (.f64 (pow.f64 (+.f64 m n) 2) 1/4))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 m n) 2) 1/4) (.f64 M M)) (-.f64 (.f64 (pow.f64 (+.f64 m n) 2) 1/4) (.f64 M M))) (.f64 (fma.f64 (+.f64 m n) 1/2 M) (fma.f64 (+.f64 m n) 1/2 M)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 m n) 3) 1/8) (pow.f64 M 3)) (-.f64 (.f64 (pow.f64 (+.f64 m n) 2) 1/4) (.f64 M M))) (.f64 (fma.f64 M (fma.f64 (+.f64 m n) 1/2 M) (.f64 (pow.f64 (+.f64 m n) 2) 1/4)) (fma.f64 (+.f64 m n) 1/2 M)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 m n) 2) 1/4) (.f64 M M)) (-.f64 (.f64 (pow.f64 (+.f64 m n) 3) 1/8) (pow.f64 M 3))) (.f64 (fma.f64 (+.f64 m n) 1/2 M) (fma.f64 M (fma.f64 (+.f64 m n) 1/2 M) (.f64 (pow.f64 (+.f64 m n) 2) 1/4))))
(/.f64 (.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) (-.f64 (.f64 (pow.f64 (+.f64 m n) 3) 1/8) (pow.f64 M 3))) (fma.f64 M (fma.f64 (+.f64 m n) 1/2 M) (.f64 (pow.f64 (+.f64 m n) 2) 1/4)))
(/.f64 (.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) (-.f64 (.f64 (pow.f64 (+.f64 m n) 2) 1/4) (.f64 M M))) (fma.f64 (+.f64 m n) 1/2 M))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 m n) 3) 1/8) (pow.f64 M 3)) (-.f64 (.f64 (+.f64 m n) 1/2) M)) (fma.f64 M (fma.f64 (+.f64 m n) 1/2 M) (.f64 (pow.f64 (+.f64 m n) 2) 1/4)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 m n) 2) 1/4) (.f64 M M)) (-.f64 (.f64 (+.f64 m n) 1/2) M)) (fma.f64 (+.f64 m n) 1/2 M))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 4))
(log.f64 (exp.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)))
(exp.f64 (.f64 2 (log.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M))))
(exp.f64 (.f64 (.f64 2 (log.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)))
(fma.f64 (.f64 (+.f64 m n) 1/2) (-.f64 (.f64 (+.f64 m n) 1/2) M) (.f64 (neg.f64 M) (-.f64 (.f64 (+.f64 m n) 1/2) M)))
(fma.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) (.f64 (+.f64 m n) 1/2) (.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) (neg.f64 M)))

simplify236.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1144×	`fma-neg`
1036×	`unswap-sqr`
662×	`associate-r`
624×	`fma-def`
580×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	618	15150
1	1531	14774
2	4927	14688

Stop Event

1×	node limit

Counts

384 → 421

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))
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(fma.f64 (-.f64 (/.f64 (pow.f64 (.f64 K (+.f64 m n)) 3) 8) (pow.f64 M 3)) (/.f64 1 (fma.f64 M (fma.f64 K (.f64 (+.f64 m n) 1/2) M) (pow.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) 2))) (fma.f64 (neg.f64 (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) 2) M))
(fma.f64 (-.f64 (/.f64 (pow.f64 (.f64 K (+.f64 m n)) 3) 8) (pow.f64 M 3)) (/.f64 1 (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 (neg.f64 M) M))
(fma.f64 (-.f64 (pow.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) 2) (.f64 M M)) (/.f64 1 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)) (fma.f64 (neg.f64 M) 1 M))
(fma.f64 (-.f64 (pow.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) 2) (.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))
(fma.f64 (-.f64 (pow.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) 2) (.f64 M M)) (/.f64 1 (fma.f64 K (.f64 (+.f64 m n) 1/2) M)) (+.f64 (neg.f64 M) M))
(fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M))
(fma.f64 (.f64 K (+.f64 m n)) 1/2 (.f64 (neg.f64 M) 1))
(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)))
(fma.f64 (sqrt.f64 (neg.f64 M)) (sqrt.f64 (neg.f64 M)) (.f64 K (.f64 (+.f64 m n) 1/2)))
(fma.f64 (neg.f64 (sqrt.f64 M)) (sqrt.f64 M) (.f64 K (.f64 (+.f64 m n) 1/2)))
(fma.f64 -1 M (.f64 K (.f64 (+.f64 m n) 1/2)))
(fma.f64 (fma.f64 (sqrt.f64 (.f64 (+.f64 m n) 1/2)) (sqrt.f64 K) (sqrt.f64 M)) (-.f64 (sqrt.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))) (sqrt.f64 M)) (fma.f64 (neg.f64 M) 1 M))
(fma.f64 (fma.f64 (sqrt.f64 (.f64 (+.f64 m n) 1/2)) (sqrt.f64 K) (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))
(fma.f64 (fma.f64 (sqrt.f64 (.f64 (+.f64 m n) 1/2)) (sqrt.f64 K) (sqrt.f64 M)) (-.f64 (sqrt.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))) (sqrt.f64 M)) (+.f64 (neg.f64 M) M))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 M) 2)) (cbrt.f64 M) (.f64 K (.f64 (+.f64 m n) 1/2)))
(fma.f64 (.f64 K (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) 1/2)) 2)) (cbrt.f64 (*.f64 (+.f64 m n) 1/2)) (neg.f64 M))
(fma.f64 (.f64 K (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) 1/2)) 2)) (cbrt.f64 (.f64 (+.f64 m n) 1/2)) (.f64 (neg.f64 M) 1))
(fma.f64 (.f64 K (sqrt.f64 (.f64 (+.f64 m n) 1/2))) (sqrt.f64 (*.f64 (+.f64 m n) 1/2)) (neg.f64 M))
(fma.f64 (.f64 K (sqrt.f64 (.f64 (+.f64 m n) 1/2))) (sqrt.f64 (.f64 (+.f64 m n) 1/2)) (.f64 (neg.f64 M) 1))
(fma.f64 (.f64 (.f64 (+.f64 m n) 1/2) (pow.f64 (cbrt.f64 K) 2)) (cbrt.f64 K) (neg.f64 M))
(fma.f64 (.f64 (.f64 (+.f64 m n) 1/2) (pow.f64 (cbrt.f64 K) 2)) (cbrt.f64 K) (*.f64 (neg.f64 M) 1))
(fma.f64 (.f64 (.f64 (+.f64 m n) 1/2) (sqrt.f64 K)) (sqrt.f64 K) (neg.f64 M))
(fma.f64 (.f64 (.f64 (+.f64 m n) 1/2) (sqrt.f64 K)) (sqrt.f64 K) (*.f64 (neg.f64 M) 1))
(+.f64 0 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2))
(+.f64 (.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) (.f64 (+.f64 m n) 1/2)) (.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) (neg.f64 M)))
(+.f64 (.f64 (.f64 (+.f64 m n) 1/2) (-.f64 (.f64 (+.f64 m n) 1/2) M)) (.f64 (neg.f64 M) (-.f64 (*.f64 (+.f64 m n) 1/2) M)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2))) (cbrt.f64 (exp.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2))) 1)
(.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) (-.f64 (*.f64 (+.f64 m n) 1/2) M))
(.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) 1)
(.f64 1 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M)) 2) (cbrt.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 4)))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M)) 2) (.f64 (cbrt.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M)) (-.f64 (*.f64 (+.f64 m n) 1/2) M)))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 4)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M)) 2))
(.f64 (sqrt.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M)) (.f64 (sqrt.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M)) (-.f64 (*.f64 (+.f64 m n) 1/2) M)))
(.f64 (.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) (sqrt.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M))) (sqrt.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M)))
(.f64 (.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) (pow.f64 (cbrt.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M)) 2)) (cbrt.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 m n) 3) 1/8) (pow.f64 M 3)) (-.f64 (.f64 (pow.f64 (+.f64 m n) 3) 1/8) (pow.f64 M 3))) (.f64 (fma.f64 M (fma.f64 (+.f64 m n) 1/2 M) (.f64 (pow.f64 (+.f64 m n) 2) 1/4)) (fma.f64 M (fma.f64 (+.f64 m n) 1/2 M) (.f64 (pow.f64 (+.f64 m n) 2) 1/4))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 m n) 2) 1/4) (.f64 M M)) (-.f64 (.f64 (pow.f64 (+.f64 m n) 2) 1/4) (.f64 M M))) (.f64 (fma.f64 (+.f64 m n) 1/2 M) (fma.f64 (+.f64 m n) 1/2 M)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 m n) 3) 1/8) (pow.f64 M 3)) (-.f64 (.f64 (pow.f64 (+.f64 m n) 2) 1/4) (.f64 M M))) (.f64 (fma.f64 M (fma.f64 (+.f64 m n) 1/2 M) (.f64 (pow.f64 (+.f64 m n) 2) 1/4)) (fma.f64 (+.f64 m n) 1/2 M)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 m n) 2) 1/4) (.f64 M M)) (-.f64 (.f64 (pow.f64 (+.f64 m n) 3) 1/8) (pow.f64 M 3))) (.f64 (fma.f64 (+.f64 m n) 1/2 M) (fma.f64 M (fma.f64 (+.f64 m n) 1/2 M) (.f64 (pow.f64 (+.f64 m n) 2) 1/4))))
(/.f64 (.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) (-.f64 (.f64 (pow.f64 (+.f64 m n) 3) 1/8) (pow.f64 M 3))) (fma.f64 M (fma.f64 (+.f64 m n) 1/2 M) (.f64 (pow.f64 (+.f64 m n) 2) 1/4)))
(/.f64 (.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) (-.f64 (.f64 (pow.f64 (+.f64 m n) 2) 1/4) (.f64 M M))) (fma.f64 (+.f64 m n) 1/2 M))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 m n) 3) 1/8) (pow.f64 M 3)) (-.f64 (.f64 (+.f64 m n) 1/2) M)) (fma.f64 M (fma.f64 (+.f64 m n) 1/2 M) (.f64 (pow.f64 (+.f64 m n) 2) 1/4)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 m n) 2) 1/4) (.f64 M M)) (-.f64 (.f64 (+.f64 m n) 1/2) M)) (fma.f64 (+.f64 m n) 1/2 M))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 4))
(log.f64 (exp.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)))
(exp.f64 (.f64 2 (log.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M))))
(exp.f64 (.f64 (.f64 2 (log.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)))
(fma.f64 (.f64 (+.f64 m n) 1/2) (-.f64 (.f64 (+.f64 m n) 1/2) M) (.f64 (neg.f64 M) (-.f64 (.f64 (+.f64 m n) 1/2) M)))
(fma.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) (.f64 (+.f64 m n) 1/2) (.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) (neg.f64 M)))

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 (.f64 (.f64 -1/2 K) (*.f64 (neg.f64 (sin.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 -1/2 (.f64 (+.f64 n m) (.f64 K (neg.f64 (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 (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)))) (cos.f64 M))
(+.f64 (.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 (.f64 -1/8 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 (.f64 K K) (cos.f64 M)))) (fma.f64 -1/2 (.f64 (+.f64 n m) (.f64 K (neg.f64 (sin.f64 M)))) (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 (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))))) (cos.f64 M))
(+.f64 (fma.f64 1/48 (.f64 (neg.f64 (sin.f64 M)) (pow.f64 (.f64 K (+.f64 n m)) 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 (fma.f64 1/48 (.f64 (neg.f64 (sin.f64 M)) (pow.f64 (.f64 K (+.f64 n m)) 3)) (fma.f64 -1/8 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 (.f64 K K) (cos.f64 M))) (.f64 -1/2 (.f64 (+.f64 n m) (.f64 K (neg.f64 (sin.f64 M))))))) (cos.f64 M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 (.f64 K 1/2) (+.f64 n m)) M))
(cos.f64 (fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 (.f64 K 1/2) (+.f64 n m)) M))
(cos.f64 (fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 (.f64 K 1/2) (+.f64 n m)) M))
(cos.f64 (fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 (.f64 K 1/2) (+.f64 n m)) M))
(cos.f64 (fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 (.f64 K 1/2) (+.f64 n m)) M))
(cos.f64 (fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 (.f64 K 1/2) (+.f64 n m)) M))
(cos.f64 (fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 (.f64 K 1/2) (+.f64 n m)) M))
(cos.f64 (fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 (.f64 K 1/2) (+.f64 n m)) M))
(cos.f64 (fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (fma.f64 1/2 (*.f64 K n) (neg.f64 M)))
(cos.f64 (fma.f64 (*.f64 n 1/2) K (neg.f64 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 (fma.f64 (.f64 n 1/2) K (neg.f64 M))))) (cos.f64 (fma.f64 (.f64 n 1/2) K (neg.f64 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 (.f64 K K) (.f64 (cos.f64 (fma.f64 (.f64 n 1/2) K (neg.f64 M))) (.f64 m m))) (fma.f64 -1/2 (.f64 K (.f64 m (sin.f64 (fma.f64 (.f64 n 1/2) K (neg.f64 M))))) (cos.f64 (fma.f64 (*.f64 n 1/2) K (neg.f64 M)))))
(fma.f64 -1/8 (.f64 (cos.f64 (fma.f64 K (.f64 n 1/2) (neg.f64 M))) (.f64 (.f64 K K) (.f64 m 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 (.f64 1/48 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 (pow.f64 K 3) (pow.f64 m 3)))) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (*.f64 K m))))))
(fma.f64 -1/8 (.f64 (.f64 K K) (.f64 (cos.f64 (fma.f64 1/2 (.f64 K n) (neg.f64 M))) (.f64 m m))) (+.f64 (cos.f64 (fma.f64 1/2 (.f64 K n) (neg.f64 M))) (fma.f64 1/48 (.f64 (sin.f64 (fma.f64 1/2 (.f64 K n) (neg.f64 M))) (.f64 (pow.f64 K 3) (pow.f64 m 3))) (.f64 -1/2 (.f64 (sin.f64 (fma.f64 1/2 (.f64 K n) (neg.f64 M))) (*.f64 K m))))))
(+.f64 (fma.f64 -1/8 (.f64 (.f64 K K) (.f64 (cos.f64 (fma.f64 (.f64 n 1/2) K (neg.f64 M))) (.f64 m m))) (fma.f64 -1/2 (.f64 K (.f64 m (sin.f64 (fma.f64 (.f64 n 1/2) K (neg.f64 M))))) (cos.f64 (fma.f64 (.f64 n 1/2) K (neg.f64 M))))) (.f64 (.f64 1/48 (.f64 (pow.f64 K 3) (pow.f64 m 3))) (sin.f64 (fma.f64 (*.f64 n 1/2) K (neg.f64 M)))))
(+.f64 (fma.f64 -1/8 (.f64 (cos.f64 (fma.f64 K (.f64 n 1/2) (neg.f64 M))) (.f64 (.f64 K K) (.f64 m 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 (pow.f64 K 3) (sin.f64 (fma.f64 K (.f64 n 1/2) (neg.f64 M)))) (*.f64 (pow.f64 m 3) 1/48)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 (.f64 K 1/2) (+.f64 n m)) M))
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(.f64 1/2 (.f64 n K))
(.f64 1/2 (.f64 K n))
(.f64 K (.f64 n 1/2))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(.f64 (.f64 K 1/2) (+.f64 n m))
(.f64 K (.f64 1/2 (+.f64 n m)))
(.f64 (+.f64 n m) (.f64 K 1/2))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(.f64 (.f64 K 1/2) (+.f64 n m))
(.f64 K (.f64 1/2 (+.f64 n m)))
(.f64 (+.f64 n m) (.f64 K 1/2))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(.f64 (.f64 K 1/2) (+.f64 n m))
(.f64 K (.f64 1/2 (+.f64 n m)))
(.f64 (+.f64 n m) (.f64 K 1/2))
(*.f64 -1 M)
(neg.f64 M)
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(-.f64 (.f64 (.f64 K 1/2) (+.f64 n m)) M)
(fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M))
(fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(-.f64 (.f64 (.f64 K 1/2) (+.f64 n m)) M)
(fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M))
(fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(-.f64 (.f64 (.f64 K 1/2) (+.f64 n m)) M)
(fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M))
(fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 (.f64 K 1/2) (+.f64 n m))
(.f64 K (.f64 1/2 (+.f64 n m)))
(.f64 (+.f64 n m) (.f64 K 1/2))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(-.f64 (.f64 (.f64 K 1/2) (+.f64 n m)) M)
(fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M))
(fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(-.f64 (.f64 (.f64 K 1/2) (+.f64 n m)) M)
(fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M))
(fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(-.f64 (.f64 (.f64 K 1/2) (+.f64 n m)) M)
(fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M))
(fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 (.f64 K 1/2) (+.f64 n m))
(.f64 K (.f64 1/2 (+.f64 n m)))
(.f64 (+.f64 n m) (.f64 K 1/2))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(-.f64 (.f64 (.f64 K 1/2) (+.f64 n m)) M)
(fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M))
(fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(-.f64 (.f64 (.f64 K 1/2) (+.f64 n m)) M)
(fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M))
(fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(-.f64 (.f64 (.f64 K 1/2) (+.f64 n m)) M)
(fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M))
(fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))
(-.f64 (.f64 1/2 (.f64 n K)) M)
(fma.f64 1/2 (*.f64 K n) (neg.f64 M))
(fma.f64 (*.f64 n 1/2) K (neg.f64 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 K 1/2) (+.f64 n m)) M)
(fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M))
(fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (.f64 (.f64 K 1/2) (+.f64 n m)) M)
(fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M))
(fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (.f64 (.f64 K 1/2) (+.f64 n m)) M)
(fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M))
(fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))
(.f64 1/2 (.f64 K m))
(.f64 (.f64 K 1/2) 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 K 1/2) (+.f64 n m)) M)
(fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M))
(fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (.f64 (.f64 K 1/2) (+.f64 n m)) M)
(fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M))
(fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (.f64 (.f64 K 1/2) (+.f64 n m)) M)
(fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M))
(fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))
(.f64 1/2 (.f64 K m))
(.f64 (.f64 K 1/2) 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 K 1/2) (+.f64 n m)) M)
(fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M))
(fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (.f64 (.f64 K 1/2) (+.f64 n m)) M)
(fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M))
(fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (.f64 (.f64 K 1/2) (+.f64 n m)) M)
(fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M))
(fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))
(-.f64 (.f64 1/2 (.f64 K m)) M)
(-.f64 (.f64 (.f64 K 1/2) m) 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 K 1/2) (+.f64 n m)) M)
(fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M))
(fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (.f64 (.f64 K 1/2) (+.f64 n m)) M)
(fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M))
(fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (.f64 (.f64 K 1/2) (+.f64 n m)) M)
(fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M))
(fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))
(.f64 1/2 (.f64 n K))
(.f64 1/2 (.f64 K n))
(.f64 K (.f64 n 1/2))
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (.f64 (.f64 K 1/2) (+.f64 n m)) M)
(fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M))
(fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (.f64 (.f64 K 1/2) (+.f64 n m)) M)
(fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M))
(fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (.f64 (.f64 K 1/2) (+.f64 n m)) M)
(fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M))
(fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))
(.f64 1/2 (.f64 n K))
(.f64 1/2 (.f64 K n))
(.f64 K (.f64 n 1/2))
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (.f64 (.f64 K 1/2) (+.f64 n m)) M)
(fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M))
(fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (.f64 (.f64 K 1/2) (+.f64 n m)) M)
(fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M))
(fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (.f64 (.f64 K 1/2) (+.f64 n m)) M)
(fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M))
(fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 (.f64 K 1/2) (+.f64 n m))
(.f64 K (.f64 1/2 (+.f64 n m)))
(.f64 (+.f64 n m) (.f64 K 1/2))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(-.f64 (.f64 (.f64 K 1/2) (+.f64 n m)) M)
(fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M))
(fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(-.f64 (.f64 (.f64 K 1/2) (+.f64 n m)) M)
(fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M))
(fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(-.f64 (.f64 (.f64 K 1/2) (+.f64 n m)) M)
(fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M))
(fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))
(*.f64 -1 M)
(neg.f64 M)
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(-.f64 (.f64 (.f64 K 1/2) (+.f64 n m)) M)
(fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M))
(fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(-.f64 (.f64 (.f64 K 1/2) (+.f64 n m)) M)
(fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M))
(fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(-.f64 (.f64 (.f64 K 1/2) (+.f64 n m)) M)
(fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M))
(fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))
(*.f64 -1 M)
(neg.f64 M)
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(-.f64 (.f64 (.f64 K 1/2) (+.f64 n m)) M)
(fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M))
(fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(-.f64 (.f64 (.f64 K 1/2) (+.f64 n m)) M)
(fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M))
(fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(-.f64 (.f64 (.f64 K 1/2) (+.f64 n m)) M)
(fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M))
(fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))
(pow.f64 (-.f64 (*.f64 1/2 n) M) 2)
(pow.f64 (-.f64 (*.f64 n 1/2) M) 2)
(+.f64 (.f64 (-.f64 (.f64 1/2 n) M) m) (pow.f64 (-.f64 (*.f64 1/2 n) M) 2))
(fma.f64 (-.f64 (.f64 n 1/2) M) m (pow.f64 (-.f64 (.f64 n 1/2) M) 2))
(.f64 (-.f64 (.f64 n 1/2) M) (+.f64 (-.f64 (*.f64 n 1/2) M) m))
(+.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 (-.f64 (.f64 n 1/2) M) m (pow.f64 (-.f64 (.f64 n 1/2) M) 2)) (.f64 (.f64 m m) 1/4))
(fma.f64 m (-.f64 (.f64 n 1/2) M) (fma.f64 (.f64 m m) 1/4 (pow.f64 (-.f64 (*.f64 n 1/2) 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 (fma.f64 (-.f64 (.f64 n 1/2) M) m (pow.f64 (-.f64 (.f64 n 1/2) M) 2)) (.f64 (.f64 m m) 1/4))
(fma.f64 m (-.f64 (.f64 n 1/2) M) (fma.f64 (.f64 m m) 1/4 (pow.f64 (-.f64 (*.f64 n 1/2) M) 2)))
(*.f64 1/4 (pow.f64 m 2))
(.f64 (.f64 m m) 1/4)
(.f64 m (.f64 m 1/4))
(+.f64 (.f64 (-.f64 (.f64 1/2 n) M) m) (*.f64 1/4 (pow.f64 m 2)))
(fma.f64 (-.f64 (.f64 n 1/2) M) m (.f64 (*.f64 m m) 1/4))
(fma.f64 m (-.f64 (.f64 n 1/2) M) (.f64 m (*.f64 m 1/4)))
(fma.f64 m (-.f64 (.f64 n 1/2) M) (.f64 (*.f64 m 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 (-.f64 (.f64 n 1/2) M) m (pow.f64 (-.f64 (.f64 n 1/2) M) 2)) (.f64 (.f64 m m) 1/4))
(fma.f64 m (-.f64 (.f64 n 1/2) M) (fma.f64 (.f64 m m) 1/4 (pow.f64 (-.f64 (*.f64 n 1/2) 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 (fma.f64 (-.f64 (.f64 n 1/2) M) m (pow.f64 (-.f64 (.f64 n 1/2) M) 2)) (.f64 (.f64 m m) 1/4))
(fma.f64 m (-.f64 (.f64 n 1/2) M) (fma.f64 (.f64 m m) 1/4 (pow.f64 (-.f64 (*.f64 n 1/2) M) 2)))
(*.f64 1/4 (pow.f64 m 2))
(.f64 (.f64 m m) 1/4)
(.f64 m (.f64 m 1/4))
(+.f64 (.f64 (-.f64 (.f64 1/2 n) M) m) (*.f64 1/4 (pow.f64 m 2)))
(fma.f64 (-.f64 (.f64 n 1/2) M) m (.f64 (*.f64 m m) 1/4))
(fma.f64 m (-.f64 (.f64 n 1/2) M) (.f64 m (*.f64 m 1/4)))
(fma.f64 m (-.f64 (.f64 n 1/2) M) (.f64 (*.f64 m 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 (-.f64 (.f64 n 1/2) M) m (pow.f64 (-.f64 (.f64 n 1/2) M) 2)) (.f64 (.f64 m m) 1/4))
(fma.f64 m (-.f64 (.f64 n 1/2) M) (fma.f64 (.f64 m m) 1/4 (pow.f64 (-.f64 (*.f64 n 1/2) 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 (fma.f64 (-.f64 (.f64 n 1/2) M) m (pow.f64 (-.f64 (.f64 n 1/2) M) 2)) (.f64 (.f64 m m) 1/4))
(fma.f64 m (-.f64 (.f64 n 1/2) M) (fma.f64 (.f64 m m) 1/4 (pow.f64 (-.f64 (*.f64 n 1/2) M) 2)))
(pow.f64 (-.f64 (*.f64 1/2 m) M) 2)
(pow.f64 (fma.f64 1/2 m (neg.f64 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 (fma.f64 1/2 m (neg.f64 M)) 2) (*.f64 n (fma.f64 1/2 m (neg.f64 M))))
(.f64 (-.f64 (.f64 m 1/2) M) (+.f64 (-.f64 (*.f64 m 1/2) M) n))
(+.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 (fma.f64 1/2 m (neg.f64 M)) 2) (fma.f64 n (fma.f64 1/2 m (neg.f64 M)) (.f64 (.f64 n n) 1/4)))
(+.f64 (.f64 (-.f64 (.f64 m 1/2) M) (+.f64 (-.f64 (.f64 m 1/2) M) n)) (.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 (fma.f64 1/2 m (neg.f64 M)) 2) (fma.f64 n (fma.f64 1/2 m (neg.f64 M)) (.f64 (.f64 n n) 1/4)))
(+.f64 (.f64 (-.f64 (.f64 m 1/2) M) (+.f64 (-.f64 (.f64 m 1/2) M) n)) (.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 (fma.f64 1/2 m (neg.f64 M)) (.f64 (.f64 n n) 1/4))
(fma.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 (fma.f64 1/2 m (neg.f64 M)) 2) (fma.f64 n (fma.f64 1/2 m (neg.f64 M)) (.f64 (.f64 n n) 1/4)))
(+.f64 (.f64 (-.f64 (.f64 m 1/2) M) (+.f64 (-.f64 (.f64 m 1/2) M) n)) (.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 (fma.f64 1/2 m (neg.f64 M)) 2) (fma.f64 n (fma.f64 1/2 m (neg.f64 M)) (.f64 (.f64 n n) 1/4)))
(+.f64 (.f64 (-.f64 (.f64 m 1/2) M) (+.f64 (-.f64 (.f64 m 1/2) M) n)) (.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)))
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(+.f64 (.f64 (.f64 (+.f64 m n) 1/2) (-.f64 (.f64 (+.f64 m n) 1/2) M)) (.f64 (neg.f64 M) (-.f64 (*.f64 (+.f64 m n) 1/2) M)))
(pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2))) (cbrt.f64 (exp.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (cbrt.f64 (exp.f64 (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)))))
(.f64 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2))) 1)
(pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)
(.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) (-.f64 (*.f64 (+.f64 m n) 1/2) M))
(pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)
(.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) 1)
(pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)
(.f64 1 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2))
(pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M)) 2) (cbrt.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 4)))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M)) 2) (cbrt.f64 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 4)))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M)) 2) (.f64 (cbrt.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M)) (-.f64 (*.f64 (+.f64 m n) 1/2) M)))
(pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)
(.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 4)) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M)) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M)) 2) (cbrt.f64 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 4)))
(.f64 (sqrt.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M)) (.f64 (sqrt.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M)) (-.f64 (*.f64 (+.f64 m n) 1/2) M)))
(pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)
(.f64 (.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) (sqrt.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M))) (sqrt.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M)))
(pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)
(.f64 (.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) (pow.f64 (cbrt.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M)) 2)) (cbrt.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M)))
(pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 m n) 3) 1/8) (pow.f64 M 3)) (-.f64 (.f64 (pow.f64 (+.f64 m n) 3) 1/8) (pow.f64 M 3))) (.f64 (fma.f64 M (fma.f64 (+.f64 m n) 1/2 M) (.f64 (pow.f64 (+.f64 m n) 2) 1/4)) (fma.f64 M (fma.f64 (+.f64 m n) 1/2 M) (.f64 (pow.f64 (+.f64 m n) 2) 1/4))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 n m) 3) 1/8) (pow.f64 M 3)) (fma.f64 M (fma.f64 (+.f64 n m) 1/2 M) (.f64 (pow.f64 (+.f64 n m) 2) 1/4))) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 n m) 3) 1/8) (pow.f64 M 3)) (fma.f64 M (fma.f64 (+.f64 n m) 1/2 M) (*.f64 (pow.f64 (+.f64 n m) 2) 1/4))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 n m) 3) 1/8) (pow.f64 M 3)) (fma.f64 M (fma.f64 1/2 (+.f64 n m) M) (.f64 (pow.f64 (+.f64 n m) 2) 1/4))) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 n m) 3) 1/8) (pow.f64 M 3)) (fma.f64 M (fma.f64 1/2 (+.f64 n m) M) (*.f64 (pow.f64 (+.f64 n m) 2) 1/4))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 m n) 2) 1/4) (.f64 M M)) (-.f64 (.f64 (pow.f64 (+.f64 m n) 2) 1/4) (.f64 M M))) (.f64 (fma.f64 (+.f64 m n) 1/2 M) (fma.f64 (+.f64 m n) 1/2 M)))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 n m) 2) 1/4) (.f64 M M)) (fma.f64 (+.f64 n m) 1/2 M)) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 n m) 2) 1/4) (*.f64 M M)) (fma.f64 (+.f64 n m) 1/2 M)))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 n m) 2) 1/4) (.f64 M M)) (fma.f64 1/2 (+.f64 n m) M)) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 n m) 2) 1/4) (*.f64 M M)) (fma.f64 1/2 (+.f64 n m) M)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 m n) 3) 1/8) (pow.f64 M 3)) (-.f64 (.f64 (pow.f64 (+.f64 m n) 2) 1/4) (.f64 M M))) (.f64 (fma.f64 M (fma.f64 (+.f64 m n) 1/2 M) (.f64 (pow.f64 (+.f64 m n) 2) 1/4)) (fma.f64 (+.f64 m n) 1/2 M)))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 n m) 3) 1/8) (pow.f64 M 3)) (fma.f64 M (fma.f64 (+.f64 n m) 1/2 M) (.f64 (pow.f64 (+.f64 n m) 2) 1/4))) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 n m) 2) 1/4) (*.f64 M M)) (fma.f64 (+.f64 n m) 1/2 M)))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 n m) 3) 1/8) (pow.f64 M 3)) (fma.f64 M (fma.f64 1/2 (+.f64 n m) M) (.f64 (pow.f64 (+.f64 n m) 2) 1/4))) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 n m) 2) 1/4) (*.f64 M M)) (fma.f64 1/2 (+.f64 n m) M)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 m n) 2) 1/4) (.f64 M M)) (-.f64 (.f64 (pow.f64 (+.f64 m n) 3) 1/8) (pow.f64 M 3))) (.f64 (fma.f64 (+.f64 m n) 1/2 M) (fma.f64 M (fma.f64 (+.f64 m n) 1/2 M) (.f64 (pow.f64 (+.f64 m n) 2) 1/4))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 n m) 3) 1/8) (pow.f64 M 3)) (fma.f64 M (fma.f64 (+.f64 n m) 1/2 M) (.f64 (pow.f64 (+.f64 n m) 2) 1/4))) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 n m) 2) 1/4) (*.f64 M M)) (fma.f64 (+.f64 n m) 1/2 M)))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 n m) 3) 1/8) (pow.f64 M 3)) (fma.f64 M (fma.f64 1/2 (+.f64 n m) M) (.f64 (pow.f64 (+.f64 n m) 2) 1/4))) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 n m) 2) 1/4) (*.f64 M M)) (fma.f64 1/2 (+.f64 n m) M)))
(/.f64 (.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) (-.f64 (.f64 (pow.f64 (+.f64 m n) 3) 1/8) (pow.f64 M 3))) (fma.f64 M (fma.f64 (+.f64 m n) 1/2 M) (.f64 (pow.f64 (+.f64 m n) 2) 1/4)))
(/.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) (/.f64 (fma.f64 M (fma.f64 (+.f64 n m) 1/2 M) (.f64 (pow.f64 (+.f64 n m) 2) 1/4)) (-.f64 (*.f64 (pow.f64 (+.f64 n m) 3) 1/8) (pow.f64 M 3))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 n m) 3) 1/8) (pow.f64 M 3)) (fma.f64 M (fma.f64 1/2 (+.f64 n m) M) (.f64 (pow.f64 (+.f64 n m) 2) 1/4))) (-.f64 (.f64 1/2 (+.f64 n m)) M))
(/.f64 (.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) (-.f64 (.f64 (pow.f64 (+.f64 m n) 2) 1/4) (.f64 M M))) (fma.f64 (+.f64 m n) 1/2 M))
(/.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) (/.f64 (fma.f64 (+.f64 n m) 1/2 M) (-.f64 (.f64 (pow.f64 (+.f64 n m) 2) 1/4) (*.f64 M M))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 n m) 2) 1/4) (.f64 M M)) (fma.f64 1/2 (+.f64 n m) M)) (-.f64 (.f64 1/2 (+.f64 n m)) M))
(.f64 (/.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) (fma.f64 1/2 (+.f64 n m) M)) (-.f64 (.f64 (pow.f64 (+.f64 n m) 2) 1/4) (.f64 M M)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 m n) 3) 1/8) (pow.f64 M 3)) (-.f64 (.f64 (+.f64 m n) 1/2) M)) (fma.f64 M (fma.f64 (+.f64 m n) 1/2 M) (.f64 (pow.f64 (+.f64 m n) 2) 1/4)))
(/.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) (/.f64 (fma.f64 M (fma.f64 (+.f64 n m) 1/2 M) (.f64 (pow.f64 (+.f64 n m) 2) 1/4)) (-.f64 (*.f64 (pow.f64 (+.f64 n m) 3) 1/8) (pow.f64 M 3))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 n m) 3) 1/8) (pow.f64 M 3)) (fma.f64 M (fma.f64 1/2 (+.f64 n m) M) (.f64 (pow.f64 (+.f64 n m) 2) 1/4))) (-.f64 (.f64 1/2 (+.f64 n m)) M))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 m n) 2) 1/4) (.f64 M M)) (-.f64 (.f64 (+.f64 m n) 1/2) M)) (fma.f64 (+.f64 m n) 1/2 M))
(/.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) (/.f64 (fma.f64 (+.f64 n m) 1/2 M) (-.f64 (.f64 (pow.f64 (+.f64 n m) 2) 1/4) (*.f64 M M))))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 n m) 2) 1/4) (.f64 M M)) (fma.f64 1/2 (+.f64 n m) M)) (-.f64 (.f64 1/2 (+.f64 n m)) M))
(.f64 (/.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) (fma.f64 1/2 (+.f64 n m) M)) (-.f64 (.f64 (pow.f64 (+.f64 n m) 2) 1/4) (.f64 M M)))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 4))
(pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)
(log.f64 (exp.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)))
(pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2))))
(pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)
(cbrt.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2) 3))
(pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)))
(pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)
(exp.f64 (.f64 2 (log.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M))))
(pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M))) 1))
(pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)))
(pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)
(fma.f64 (.f64 (+.f64 m n) 1/2) (-.f64 (.f64 (+.f64 m n) 1/2) M) (.f64 (neg.f64 M) (-.f64 (.f64 (+.f64 m n) 1/2) M)))
(pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)
(fma.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) (.f64 (+.f64 m n) 1/2) (.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) (neg.f64 M)))
(pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)

eval258.0ms (0.9%)

Compiler: Compiled 17324 to 8237 computations (52.5% saved)

prune104.0ms (0.4%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	406	15	421
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	407	15	422

Accurracy

92.0%

Counts

422 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.8%	(/.f64 (fma.f64 (cos.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 (.f64 K 1/2) (+.f64 n m)) M)))) (cos.f64 1) (.f64 (sin.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 (*.f64 K 1/2) (+.f64 n m)) M)))) (sin.f64 1))) (exp.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m))))))
	72.9%	(/.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M)))) 3) (exp.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m))))))
	72.8%	(/.f64 (+.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (.f64 K 1/2) (neg.f64 M))))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))))))) (exp.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m))))))
	72.8%	(/.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (*.f64 K m)))) (exp.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m))))))
▶	72.9%	(/.f64 (expm1.f64 (log1p.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M))))) (exp.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m))))))
	72.9%	(/.f64 (cos.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) 1/2)) 2) (.f64 (cbrt.f64 (*.f64 (+.f64 m n) 1/2)) K) (neg.f64 M))) (exp.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m))))))
	34.9%	(/.f64 (cos.f64 (-.f64 (pow.f64 (sqrt.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) 2) M)) (exp.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m))))))
	43.8%	(/.f64 (cos.f64 (-.f64 (.f64 K (/.f64 (+.f64 m n) 2)) M)) (exp.f64 (+.f64 (.f64 (*.f64 n n) 1/4) (-.f64 l (fabs.f64 (-.f64 n m))))))
	45.5%	(/.f64 (cos.f64 (-.f64 (.f64 K (/.f64 (+.f64 m n) 2)) M)) (exp.f64 (+.f64 (.f64 (*.f64 m m) 1/4) (-.f64 l (fabs.f64 (-.f64 n m))))))
▶	44.9%	(/.f64 (cos.f64 (-.f64 (.f64 K (/.f64 (+.f64 m n) 2)) M)) (exp.f64 (+.f64 (.f64 M M) (-.f64 l (fabs.f64 (-.f64 n m))))))
	72.9%	(/.f64 (cos.f64 (-.f64 (.f64 K (/.f64 (+.f64 m n) 2)) M)) (exp.f64 (+.f64 (sqrt.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 4)) (-.f64 l (fabs.f64 (-.f64 n m))))))
	73.0%	(/.f64 (cos.f64 (-.f64 (.f64 K (/.f64 (+.f64 m n) 2)) M)) (exp.f64 (+.f64 (log1p.f64 (expm1.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2))) (-.f64 l (fabs.f64 (-.f64 n m))))))
▶	80.9%	(/.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (exp.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m))))))
▶	49.1%	(/.f64 (cos.f64 (-.f64 (expm1.f64 (log1p.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))) M)) (exp.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m))))))
▶	91.6%	(/.f64 (cos.f64 M) (exp.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m))))))

Compiler

Compiled 1092 to 754 computations (31% saved)

localize172.0ms (0.6%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)

Compiler

Compiled 103 to 43 computations (58.3% saved)

localize538.0ms (2%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 M M) (-.f64 l (fabs.f64 (-.f64 n m))))
	100.0%	(*.f64 K (/.f64 (+.f64 m n) 2))
	73.5%	(cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 m n) 2)) M))

Compiler

Compiled 105 to 34 computations (67.6% saved)

series3.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite77.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1348×	`fma-def`
1230×	`log-prod`
676×	`pow-exp`
486×	`expm1-udef`
486×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	274	21
2	4117	21

Stop Event

1×	node limit

Counts

1 → 82

Calls

Call 1

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

Outputs
(-.f64 l (-.f64 (-.f64 n m) (*.f64 M M)))
(-.f64 (fma.f64 M M l) (-.f64 n m))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 M M l) (-.f64 n m)))) 1)
(-.f64 (/.f64 (pow.f64 M 4) (+.f64 (-.f64 (.f64 M M) l) (-.f64 n m))) (/.f64 (pow.f64 (-.f64 l (-.f64 n m)) 2) (+.f64 (-.f64 (.f64 M M) l) (-.f64 n m))))
(*.f64 (-.f64 (fma.f64 M M l) (-.f64 n m)) 1)
(*.f64 1 (-.f64 (fma.f64 M M l) (-.f64 n m)))
(*.f64 (cbrt.f64 (-.f64 (fma.f64 M M l) (-.f64 n m))) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 M M l) (-.f64 n m))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 M M l) (-.f64 n m))) 2) (cbrt.f64 (-.f64 (fma.f64 M M l) (-.f64 n m))))
(*.f64 (hypot.f64 M (sqrt.f64 (-.f64 l (-.f64 n m)))) (hypot.f64 M (sqrt.f64 (-.f64 l (-.f64 n m)))))
(.f64 (+.f64 (pow.f64 (-.f64 l (-.f64 n m)) 3) (pow.f64 M 6)) (/.f64 1 (fma.f64 (-.f64 l (-.f64 n m)) (-.f64 (-.f64 l (-.f64 n m)) (.f64 M M)) (pow.f64 M 4))))
(.f64 (-.f64 (pow.f64 M 4) (pow.f64 (-.f64 l (-.f64 n m)) 2)) (/.f64 1 (+.f64 (-.f64 (.f64 M M) l) (-.f64 n m))))
(/.f64 1 (/.f64 (fma.f64 (-.f64 l (-.f64 n m)) (-.f64 (-.f64 l (-.f64 n m)) (*.f64 M M)) (pow.f64 M 4)) (+.f64 (pow.f64 (-.f64 l (-.f64 n m)) 3) (pow.f64 M 6))))
(/.f64 1 (/.f64 (+.f64 (-.f64 (*.f64 M M) l) (-.f64 n m)) (-.f64 (pow.f64 M 4) (pow.f64 (-.f64 l (-.f64 n m)) 2))))
(/.f64 (+.f64 (pow.f64 (-.f64 l (-.f64 n m)) 3) (pow.f64 M 6)) (fma.f64 (-.f64 l (-.f64 n m)) (-.f64 (-.f64 l (-.f64 n m)) (*.f64 M M)) (pow.f64 M 4)))
(/.f64 (+.f64 (pow.f64 (-.f64 l (-.f64 n m)) 3) (pow.f64 M 6)) (+.f64 (pow.f64 (-.f64 l (-.f64 n m)) 2) (-.f64 (pow.f64 M 4) (.f64 (.f64 M M) (-.f64 l (-.f64 n m))))))
(/.f64 (-.f64 (pow.f64 M 4) (pow.f64 (-.f64 l (-.f64 n m)) 2)) (+.f64 (-.f64 (*.f64 M M) l) (-.f64 n m)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 l (-.f64 n m)) 3) (pow.f64 M 6))) (neg.f64 (fma.f64 (-.f64 l (-.f64 n m)) (-.f64 (-.f64 l (-.f64 n m)) (*.f64 M M)) (pow.f64 M 4))))
(/.f64 (neg.f64 (-.f64 (pow.f64 M 4) (pow.f64 (-.f64 l (-.f64 n m)) 2))) (neg.f64 (+.f64 (-.f64 (*.f64 M M) l) (-.f64 n m))))
(/.f64 (-.f64 (pow.f64 (fma.f64 M M l) 3) (pow.f64 (-.f64 n m) 3)) (fma.f64 (fma.f64 M M l) (fma.f64 M M l) (+.f64 (pow.f64 (-.f64 n m) 2) (*.f64 (fma.f64 M M l) (-.f64 n m)))))
(/.f64 (-.f64 (pow.f64 (-.f64 l (-.f64 n m)) 2) (pow.f64 M 4)) (-.f64 (-.f64 l (-.f64 n m)) (*.f64 M M)))
(/.f64 (-.f64 (*.f64 (fma.f64 M M l) (fma.f64 M M l)) (pow.f64 (-.f64 n m) 2)) (+.f64 (fma.f64 M M l) (-.f64 n m)))
(pow.f64 (-.f64 (fma.f64 M M l) (-.f64 n m)) 1)
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 M M l) (-.f64 n m))) 3)
(pow.f64 (pow.f64 (-.f64 (fma.f64 M M l) (-.f64 n m)) 3) 1/3)
(pow.f64 (hypot.f64 M (sqrt.f64 (-.f64 l (-.f64 n m)))) 2)
(pow.f64 (/.f64 (fma.f64 (-.f64 l (-.f64 n m)) (-.f64 (-.f64 l (-.f64 n m)) (*.f64 M M)) (pow.f64 M 4)) (+.f64 (pow.f64 (-.f64 l (-.f64 n m)) 3) (pow.f64 M 6))) -1)
(pow.f64 (/.f64 (+.f64 (-.f64 (*.f64 M M) l) (-.f64 n m)) (-.f64 (pow.f64 M 4) (pow.f64 (-.f64 l (-.f64 n m)) 2))) -1)
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 M M l) (-.f64 n m)) 2))
(log.f64 (exp.f64 (-.f64 (fma.f64 M M l) (-.f64 n m))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 M M l) (-.f64 n m)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 M) M) (+.f64 1 (expm1.f64 (-.f64 l (-.f64 n m))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 M M))) (exp.f64 (-.f64 l (-.f64 n m)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 M M))) (+.f64 1 (expm1.f64 (-.f64 l (-.f64 n m))))))
(log.f64 (.f64 (exp.f64 (-.f64 l (-.f64 n m))) (+.f64 1 (expm1.f64 (.f64 M M)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 l (-.f64 n m)))) (pow.f64 (exp.f64 M) M)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (-.f64 l (-.f64 n m)))) (+.f64 1 (expm1.f64 (.f64 M M)))))
(log.f64 (*.f64 (exp.f64 (fma.f64 M M l)) (exp.f64 (neg.f64 (-.f64 n m)))))
(log.f64 (*.f64 (exp.f64 (fma.f64 M M l)) (/.f64 1 (exp.f64 (-.f64 n m)))))
(log.f64 (.f64 (.f64 (pow.f64 (exp.f64 M) M) (exp.f64 l)) (exp.f64 (neg.f64 (-.f64 n m)))))
(log.f64 (.f64 (.f64 (pow.f64 (exp.f64 M) M) (exp.f64 l)) (/.f64 1 (exp.f64 (-.f64 n m)))))
(log.f64 (/.f64 (exp.f64 (fma.f64 M M l)) (+.f64 1 (expm1.f64 (-.f64 n m)))))
(log.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 M) M) (exp.f64 l)) (exp.f64 (-.f64 n m))))
(log.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 M) M) (exp.f64 l)) (+.f64 1 (expm1.f64 (-.f64 n m)))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 M M l) (-.f64 n m)) 3))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 M M l) (-.f64 n m))))
(exp.f64 (log.f64 (-.f64 (fma.f64 M M l) (-.f64 n m))))
(exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 M M l) (-.f64 n m))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 (fma.f64 M M l) (-.f64 n m))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (fma.f64 M M l) (-.f64 n m)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (-.f64 (fma.f64 M M l) (-.f64 n m)))) 1/3))
(exp.f64 (*.f64 (log.f64 (hypot.f64 M (sqrt.f64 (-.f64 l (-.f64 n m))))) 2))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 M M l) (-.f64 n m))))
(fma.f64 M M (-.f64 l (-.f64 n m)))
(fma.f64 (*.f64 M M) 1 (-.f64 l (-.f64 n m)))
(fma.f64 l 1 (fma.f64 -1 (-.f64 n m) (*.f64 M M)))
(fma.f64 l 1 (neg.f64 (-.f64 (-.f64 n m) (*.f64 M M))))
(fma.f64 (-.f64 l (-.f64 n m)) 1 (*.f64 M M))
(fma.f64 1 (*.f64 M M) (-.f64 l (-.f64 n m)))
(fma.f64 1 l (fma.f64 -1 (-.f64 n m) (*.f64 M M)))
(fma.f64 1 l (neg.f64 (-.f64 (-.f64 n m) (*.f64 M M))))
(fma.f64 1 (-.f64 l (-.f64 n m)) (*.f64 M M))
(fma.f64 1 (fma.f64 M M l) (neg.f64 (-.f64 n m)))
(fma.f64 (cbrt.f64 (-.f64 l (-.f64 n m))) (pow.f64 (cbrt.f64 (-.f64 l (-.f64 n m))) 2) (*.f64 M M))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 l (-.f64 n m))) 2) (cbrt.f64 (-.f64 l (-.f64 n m))) (*.f64 M M))
(fma.f64 (cbrt.f64 l) (pow.f64 (cbrt.f64 l) 2) (fma.f64 -1 (-.f64 n m) (*.f64 M M)))
(fma.f64 (cbrt.f64 l) (pow.f64 (cbrt.f64 l) 2) (neg.f64 (-.f64 (-.f64 n m) (*.f64 M M))))
(fma.f64 (pow.f64 (cbrt.f64 l) 2) (cbrt.f64 l) (fma.f64 -1 (-.f64 n m) (*.f64 M M)))
(fma.f64 (pow.f64 (cbrt.f64 l) 2) (cbrt.f64 l) (neg.f64 (-.f64 (-.f64 n m) (*.f64 M M))))
(fma.f64 (pow.f64 (cbrt.f64 M) 2) (cbrt.f64 (pow.f64 M 4)) (-.f64 l (-.f64 n m)))
(fma.f64 (pow.f64 (cbrt.f64 M) 2) (*.f64 (cbrt.f64 M) M) (-.f64 l (-.f64 n m)))
(fma.f64 (cbrt.f64 (pow.f64 M 4)) (pow.f64 (cbrt.f64 M) 2) (-.f64 l (-.f64 n m)))
(fma.f64 (sqrt.f64 (-.f64 l (-.f64 n m))) (sqrt.f64 (-.f64 l (-.f64 n m))) (*.f64 M M))
(fma.f64 (sqrt.f64 l) (sqrt.f64 l) (fma.f64 -1 (-.f64 n m) (*.f64 M M)))
(fma.f64 (sqrt.f64 l) (sqrt.f64 l) (neg.f64 (-.f64 (-.f64 n m) (*.f64 M M))))
(fma.f64 (sqrt.f64 M) (*.f64 (sqrt.f64 M) M) (-.f64 l (-.f64 n m)))
(fma.f64 (-.f64 (pow.f64 l 3) (pow.f64 (-.f64 n m) 3)) (/.f64 1 (fma.f64 (-.f64 n m) (+.f64 l (-.f64 n m)) (.f64 l l))) (.f64 M M))
(fma.f64 (-.f64 (.f64 l l) (pow.f64 (-.f64 n m) 2)) (/.f64 1 (+.f64 l (-.f64 n m))) (.f64 M M))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 M M l)) (cbrt.f64 (fma.f64 M M l))) (cbrt.f64 (fma.f64 M M l)) (neg.f64 (-.f64 n m)))
(fma.f64 (*.f64 M (sqrt.f64 M)) (sqrt.f64 M) (-.f64 l (-.f64 n m)))
(fma.f64 (hypot.f64 M (sqrt.f64 l)) (hypot.f64 M (sqrt.f64 l)) (neg.f64 (-.f64 n m)))
(fma.f64 (+.f64 (sqrt.f64 l) (sqrt.f64 (-.f64 n m))) (-.f64 (sqrt.f64 l) (sqrt.f64 (-.f64 n m))) (*.f64 M M))
(fma.f64 (*.f64 M (pow.f64 (cbrt.f64 M) 2)) (cbrt.f64 M) (-.f64 l (-.f64 n m)))

simplify74.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1330×	`fma-def`
1214×	`distribute-rgt-in`
1214×	`distribute-lft-in`
444×	`associate-+r+`
388×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	229	4064
1	592	4018
2	1704	3522

Stop Event

1×	node limit

Counts

130 → 112

Calls

Call 1

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

Outputs
(-.f64 l (fabs.f64 (-.f64 n m)))
(+.f64 l (-.f64 m n))
(-.f64 (+.f64 l (pow.f64 M 2)) (fabs.f64 (-.f64 n m)))
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
(-.f64 (+.f64 l (pow.f64 M 2)) (fabs.f64 (-.f64 n m)))
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
(-.f64 (+.f64 l (pow.f64 M 2)) (fabs.f64 (-.f64 n m)))
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
(pow.f64 M 2)
(*.f64 M M)
(-.f64 (+.f64 l (pow.f64 M 2)) (fabs.f64 (-.f64 n m)))
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
(-.f64 (+.f64 l (pow.f64 M 2)) (fabs.f64 (-.f64 n m)))
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
(-.f64 (+.f64 l (pow.f64 M 2)) (fabs.f64 (-.f64 n m)))
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
(pow.f64 M 2)
(*.f64 M M)
(-.f64 (+.f64 l (pow.f64 M 2)) (fabs.f64 (-.f64 n m)))
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
(-.f64 (+.f64 l (pow.f64 M 2)) (fabs.f64 (-.f64 n m)))
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
(-.f64 (+.f64 l (pow.f64 M 2)) (fabs.f64 (-.f64 n m)))
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
(-.f64 (pow.f64 M 2) (fabs.f64 (-.f64 n m)))
(-.f64 (*.f64 M M) (fabs.f64 (-.f64 n m)))
(fma.f64 M M (-.f64 m n))
(-.f64 (+.f64 l (pow.f64 M 2)) (fabs.f64 (-.f64 n m)))
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
(-.f64 (+.f64 l (pow.f64 M 2)) (fabs.f64 (-.f64 n m)))
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
(-.f64 (+.f64 l (pow.f64 M 2)) (fabs.f64 (-.f64 n m)))
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
l
(-.f64 (+.f64 l (pow.f64 M 2)) (fabs.f64 (-.f64 n m)))
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
(-.f64 (+.f64 l (pow.f64 M 2)) (fabs.f64 (-.f64 n m)))
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
(-.f64 (+.f64 l (pow.f64 M 2)) (fabs.f64 (-.f64 n m)))
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
l
(-.f64 (+.f64 l (pow.f64 M 2)) (fabs.f64 (-.f64 n m)))
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
(-.f64 (+.f64 l (pow.f64 M 2)) (fabs.f64 (-.f64 n m)))
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
(-.f64 (+.f64 l (pow.f64 M 2)) (fabs.f64 (-.f64 n m)))
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
(-.f64 (+.f64 l (pow.f64 M 2)) (fabs.f64 (-.f64 n m)))
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
(-.f64 (+.f64 l (pow.f64 M 2)) (fabs.f64 (-.f64 n m)))
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
(-.f64 (+.f64 l (pow.f64 M 2)) (fabs.f64 (-.f64 n m)))
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
(-.f64 (+.f64 l (pow.f64 M 2)) (fabs.f64 (-.f64 n m)))
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
(-.f64 (+.f64 l (pow.f64 M 2)) (fabs.f64 (-.f64 n m)))
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
(-.f64 (+.f64 l (pow.f64 M 2)) (fabs.f64 (-.f64 n m)))
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
(-.f64 (+.f64 l (pow.f64 M 2)) (fabs.f64 (-.f64 n m)))
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
(-.f64 (+.f64 l (pow.f64 M 2)) (fabs.f64 (-.f64 n m)))
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
(-.f64 (+.f64 l (pow.f64 M 2)) (fabs.f64 (neg.f64 (+.f64 (*.f64 -1 n) m))))
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
(-.f64 (+.f64 l (pow.f64 M 2)) (fabs.f64 (neg.f64 (+.f64 (*.f64 -1 n) m))))
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
(-.f64 (+.f64 l (pow.f64 M 2)) (fabs.f64 (neg.f64 (+.f64 (*.f64 -1 n) m))))
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
(-.f64 (+.f64 l (pow.f64 M 2)) (fabs.f64 (neg.f64 (+.f64 (*.f64 -1 n) m))))
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
(-.f64 (+.f64 l (pow.f64 M 2)) (fabs.f64 (-.f64 n m)))
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
(-.f64 (+.f64 l (pow.f64 M 2)) (fabs.f64 (-.f64 n m)))
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
(-.f64 (+.f64 l (pow.f64 M 2)) (fabs.f64 (-.f64 n m)))
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
(-.f64 (+.f64 l (pow.f64 M 2)) (fabs.f64 (-.f64 n m)))
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
(-.f64 (+.f64 l (pow.f64 M 2)) (fabs.f64 (-.f64 n m)))
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
(-.f64 (+.f64 l (pow.f64 M 2)) (fabs.f64 (-.f64 n m)))
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
(-.f64 (+.f64 l (pow.f64 M 2)) (fabs.f64 (-.f64 n m)))
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
(-.f64 (+.f64 l (pow.f64 M 2)) (fabs.f64 (-.f64 n m)))
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
(-.f64 (+.f64 l (pow.f64 M 2)) (fabs.f64 (+.f64 n (*.f64 -1 m))))
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
(-.f64 (+.f64 l (pow.f64 M 2)) (fabs.f64 (+.f64 n (*.f64 -1 m))))
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
(-.f64 (+.f64 l (pow.f64 M 2)) (fabs.f64 (+.f64 n (*.f64 -1 m))))
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
(-.f64 (+.f64 l (pow.f64 M 2)) (fabs.f64 (+.f64 n (*.f64 -1 m))))
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
(-.f64 l (-.f64 (-.f64 n m) (*.f64 M M)))
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
(-.f64 (fma.f64 M M l) (-.f64 n m))
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 M M l) (-.f64 n m)))) 1)
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
(-.f64 (/.f64 (pow.f64 M 4) (+.f64 (-.f64 (.f64 M M) l) (-.f64 n m))) (/.f64 (pow.f64 (-.f64 l (-.f64 n m)) 2) (+.f64 (-.f64 (.f64 M M) l) (-.f64 n m))))
(/.f64 (-.f64 (pow.f64 M 4) (pow.f64 (+.f64 (-.f64 l n) m) 2)) (+.f64 (-.f64 n m) (-.f64 (*.f64 M M) l)))
(/.f64 (-.f64 (pow.f64 M 4) (pow.f64 (+.f64 l (-.f64 m n)) 2)) (-.f64 (-.f64 (*.f64 M M) (-.f64 l n)) m))
(/.f64 (-.f64 (pow.f64 (+.f64 l (-.f64 m n)) 2) (pow.f64 M 4)) (-.f64 l (fma.f64 M M (-.f64 n m))))
(*.f64 (-.f64 (fma.f64 M M l) (-.f64 n m)) 1)
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
(*.f64 1 (-.f64 (fma.f64 M M l) (-.f64 n m)))
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
(*.f64 (cbrt.f64 (-.f64 (fma.f64 M M l) (-.f64 n m))) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 M M l) (-.f64 n m))) 2))
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 M M l) (-.f64 n m))) 2) (cbrt.f64 (-.f64 (fma.f64 M M l) (-.f64 n m))))
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
(*.f64 (hypot.f64 M (sqrt.f64 (-.f64 l (-.f64 n m)))) (hypot.f64 M (sqrt.f64 (-.f64 l (-.f64 n m)))))
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
(.f64 (+.f64 (pow.f64 (-.f64 l (-.f64 n m)) 3) (pow.f64 M 6)) (/.f64 1 (fma.f64 (-.f64 l (-.f64 n m)) (-.f64 (-.f64 l (-.f64 n m)) (.f64 M M)) (pow.f64 M 4))))
(.f64 (+.f64 (pow.f64 (+.f64 (-.f64 l n) m) 3) (pow.f64 M 6)) (/.f64 1 (fma.f64 (+.f64 (-.f64 l n) m) (-.f64 (+.f64 (-.f64 l n) m) (.f64 M M)) (pow.f64 M 4))))
(/.f64 (+.f64 (pow.f64 (+.f64 l (-.f64 m n)) 3) (pow.f64 M 6)) (fma.f64 (+.f64 l (-.f64 m n)) (+.f64 l (-.f64 (-.f64 m n) (*.f64 M M))) (pow.f64 M 4)))
(/.f64 (+.f64 (pow.f64 (+.f64 l (-.f64 m n)) 3) (pow.f64 M 6)) (fma.f64 (+.f64 l (-.f64 m n)) (-.f64 l (fma.f64 M M (-.f64 n m))) (pow.f64 M 4)))
(.f64 (-.f64 (pow.f64 M 4) (pow.f64 (-.f64 l (-.f64 n m)) 2)) (/.f64 1 (+.f64 (-.f64 (.f64 M M) l) (-.f64 n m))))
(/.f64 (-.f64 (pow.f64 M 4) (pow.f64 (+.f64 (-.f64 l n) m) 2)) (+.f64 (-.f64 n m) (-.f64 (*.f64 M M) l)))
(/.f64 (-.f64 (pow.f64 M 4) (pow.f64 (+.f64 l (-.f64 m n)) 2)) (-.f64 (-.f64 (*.f64 M M) (-.f64 l n)) m))
(/.f64 (-.f64 (pow.f64 (+.f64 l (-.f64 m n)) 2) (pow.f64 M 4)) (-.f64 l (fma.f64 M M (-.f64 n m))))
(/.f64 1 (/.f64 (fma.f64 (-.f64 l (-.f64 n m)) (-.f64 (-.f64 l (-.f64 n m)) (*.f64 M M)) (pow.f64 M 4)) (+.f64 (pow.f64 (-.f64 l (-.f64 n m)) 3) (pow.f64 M 6))))
(.f64 (+.f64 (pow.f64 (+.f64 (-.f64 l n) m) 3) (pow.f64 M 6)) (/.f64 1 (fma.f64 (+.f64 (-.f64 l n) m) (-.f64 (+.f64 (-.f64 l n) m) (.f64 M M)) (pow.f64 M 4))))
(/.f64 (+.f64 (pow.f64 (+.f64 l (-.f64 m n)) 3) (pow.f64 M 6)) (fma.f64 (+.f64 l (-.f64 m n)) (+.f64 l (-.f64 (-.f64 m n) (*.f64 M M))) (pow.f64 M 4)))
(/.f64 (+.f64 (pow.f64 (+.f64 l (-.f64 m n)) 3) (pow.f64 M 6)) (fma.f64 (+.f64 l (-.f64 m n)) (-.f64 l (fma.f64 M M (-.f64 n m))) (pow.f64 M 4)))
(/.f64 1 (/.f64 (+.f64 (-.f64 (*.f64 M M) l) (-.f64 n m)) (-.f64 (pow.f64 M 4) (pow.f64 (-.f64 l (-.f64 n m)) 2))))
(/.f64 (-.f64 (pow.f64 M 4) (pow.f64 (+.f64 (-.f64 l n) m) 2)) (+.f64 (-.f64 n m) (-.f64 (*.f64 M M) l)))
(/.f64 (-.f64 (pow.f64 M 4) (pow.f64 (+.f64 l (-.f64 m n)) 2)) (-.f64 (-.f64 (*.f64 M M) (-.f64 l n)) m))
(/.f64 (-.f64 (pow.f64 (+.f64 l (-.f64 m n)) 2) (pow.f64 M 4)) (-.f64 l (fma.f64 M M (-.f64 n m))))
(/.f64 (+.f64 (pow.f64 (-.f64 l (-.f64 n m)) 3) (pow.f64 M 6)) (fma.f64 (-.f64 l (-.f64 n m)) (-.f64 (-.f64 l (-.f64 n m)) (*.f64 M M)) (pow.f64 M 4)))
(.f64 (+.f64 (pow.f64 (+.f64 (-.f64 l n) m) 3) (pow.f64 M 6)) (/.f64 1 (fma.f64 (+.f64 (-.f64 l n) m) (-.f64 (+.f64 (-.f64 l n) m) (.f64 M M)) (pow.f64 M 4))))
(/.f64 (+.f64 (pow.f64 (+.f64 l (-.f64 m n)) 3) (pow.f64 M 6)) (fma.f64 (+.f64 l (-.f64 m n)) (+.f64 l (-.f64 (-.f64 m n) (*.f64 M M))) (pow.f64 M 4)))
(/.f64 (+.f64 (pow.f64 (+.f64 l (-.f64 m n)) 3) (pow.f64 M 6)) (fma.f64 (+.f64 l (-.f64 m n)) (-.f64 l (fma.f64 M M (-.f64 n m))) (pow.f64 M 4)))
(/.f64 (+.f64 (pow.f64 (-.f64 l (-.f64 n m)) 3) (pow.f64 M 6)) (+.f64 (pow.f64 (-.f64 l (-.f64 n m)) 2) (-.f64 (pow.f64 M 4) (.f64 (.f64 M M) (-.f64 l (-.f64 n m))))))
(.f64 (+.f64 (pow.f64 (+.f64 (-.f64 l n) m) 3) (pow.f64 M 6)) (/.f64 1 (fma.f64 (+.f64 (-.f64 l n) m) (-.f64 (+.f64 (-.f64 l n) m) (.f64 M M)) (pow.f64 M 4))))
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(fma.f64 (*.f64 M (sqrt.f64 M)) (sqrt.f64 M) (-.f64 l (-.f64 n m)))
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
(fma.f64 (hypot.f64 M (sqrt.f64 l)) (hypot.f64 M (sqrt.f64 l)) (neg.f64 (-.f64 n m)))
(fma.f64 (hypot.f64 M (sqrt.f64 l)) (hypot.f64 M (sqrt.f64 l)) (-.f64 m n))
(fma.f64 (+.f64 (sqrt.f64 l) (sqrt.f64 (-.f64 n m))) (-.f64 (sqrt.f64 l) (sqrt.f64 (-.f64 n m))) (*.f64 M M))
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))
(fma.f64 (*.f64 M (pow.f64 (cbrt.f64 M) 2)) (cbrt.f64 M) (-.f64 l (-.f64 n m)))
(-.f64 (fma.f64 M M l) (fabs.f64 (-.f64 n m)))
(+.f64 l (fma.f64 M M (-.f64 m n)))

localize350.0ms (1.3%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
✓	100.0%	(.f64 K (.f64 n 1/2))
✓	55.3%	(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))

Compiler

Compiled 132 to 62 computations (53% saved)

series5.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite145.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1668×	`prod-diff`
1186×	`log-prod`
712×	`fma-def`
562×	`pow-prod-up`
532×	`pow-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	238	36
2	3112	36

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

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

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

simplify133.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1378×	`fma-neg`
816×	`*-commutative`
784×	`log-prod`
658×	`unswap-sqr`
630×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	287	4788
1	690	4664
2	2153	4486
3	7402	4444

Stop Event

1×	node limit

Counts

134 → 146

Calls

Call 1

Inputs
(cos.f64 (neg.f64 M))
(+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 n (*.f64 K (sin.f64 (neg.f64 M))))))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 n 2) (pow.f64 K 2)))) (+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M)))))))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 n 2) (pow.f64 K 2)))) (+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M))))) (.f64 1/48 (.f64 (pow.f64 n 3) (*.f64 (pow.f64 K 3) (sin.f64 (neg.f64 M))))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (neg.f64 M))
(+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 n (*.f64 K (sin.f64 (neg.f64 M))))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M))))) (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (cos.f64 (neg.f64 M)) (pow.f64 K 2))))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (cos.f64 (neg.f64 M)) (pow.f64 K 2)))) (.f64 1/48 (.f64 (pow.f64 n 3) (*.f64 (pow.f64 K 3) (sin.f64 (neg.f64 M))))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (.f64 1/2 (.f64 n K)))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) M) (cos.f64 (.f64 1/2 (*.f64 n K))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (pow.f64 M 2))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) M) (cos.f64 (.f64 1/2 (*.f64 n K)))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (pow.f64 M 2))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) M) (+.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 -1/6 (.f64 (sin.f64 (.f64 1/2 (*.f64 n K))) (pow.f64 M 3))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M)))
(cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M)))
(cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M)))
(cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M)))
(.f64 1/2 (.f64 n K))
(.f64 1/2 (.f64 n K))
(.f64 1/2 (.f64 n K))
(.f64 1/2 (.f64 n K))
(.f64 1/2 (.f64 n K))
(.f64 1/2 (.f64 n K))
(.f64 1/2 (.f64 n K))
(.f64 1/2 (.f64 n K))
(.f64 1/2 (.f64 n K))
(.f64 1/2 (.f64 n K))
(.f64 1/2 (.f64 n K))
(.f64 1/2 (.f64 n K))
(.f64 1/2 (.f64 n K))
(.f64 1/2 (.f64 n K))
(.f64 1/2 (.f64 n K))
(.f64 1/2 (.f64 n K))
(.f64 1/2 (.f64 n K))
(.f64 1/2 (.f64 n K))
(.f64 1/2 (.f64 n K))
(.f64 1/2 (.f64 n K))
(.f64 1/2 (.f64 n K))
(.f64 1/2 (.f64 n K))
(.f64 1/2 (.f64 n K))
(.f64 1/2 (.f64 n K))
(+.f64 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M)) (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 M)))
(+.f64 (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 M)) (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M)))
(+.f64 0 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)))
(+.f64 (.f64 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M)) 1) (.f64 (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 M)) 1))
(+.f64 (fma.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M) (neg.f64 (.f64 (neg.f64 (sin.f64 M)) (sin.f64 (.f64 K (.f64 n 1/2)))))) (fma.f64 (neg.f64 (neg.f64 (sin.f64 M))) (sin.f64 (.f64 K (.f64 n 1/2))) (.f64 (neg.f64 (sin.f64 M)) (sin.f64 (.f64 K (.f64 n 1/2))))))
(+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)))) (sin.f64 1)))
(+.f64 (.f64 (cos.f64 (/.f64 (pow.f64 (.f64 K (.f64 n 1/2)) 3) (fma.f64 M (fma.f64 K (.f64 n 1/2) M) (.f64 (pow.f64 (.f64 K n) 2) 1/4)))) (cos.f64 (/.f64 (pow.f64 M 3) (fma.f64 M (fma.f64 K (.f64 n 1/2) M) (.f64 (pow.f64 (.f64 K n) 2) 1/4))))) (.f64 (sin.f64 (/.f64 (pow.f64 (.f64 K (.f64 n 1/2)) 3) (fma.f64 M (fma.f64 K (.f64 n 1/2) M) (.f64 (pow.f64 (.f64 K n) 2) 1/4)))) (sin.f64 (/.f64 (pow.f64 M 3) (fma.f64 M (fma.f64 K (.f64 n 1/2) M) (.f64 (pow.f64 (.f64 K n) 2) 1/4))))))
(+.f64 (.f64 (cos.f64 (/.f64 (.f64 (pow.f64 (.f64 K n) 2) 1/4) (fma.f64 K (.f64 n 1/2) M))) (cos.f64 (/.f64 (.f64 M M) (fma.f64 K (.f64 n 1/2) M)))) (.f64 (sin.f64 (/.f64 (.f64 (pow.f64 (.f64 K n) 2) 1/4) (fma.f64 K (.f64 n 1/2) M))) (sin.f64 (/.f64 (.f64 M M) (fma.f64 K (.f64 n 1/2) M)))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)))) (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 K (*.f64 n 1/2)) M))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))))))
(-.f64 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M)) (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (neg.f64 (sin.f64 M))))
(-.f64 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M)) (.f64 (neg.f64 (sin.f64 M)) (sin.f64 (.f64 K (.f64 n 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)))) 1)
(-.f64 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 (.f64 (neg.f64 M) 1))) (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 (.f64 (neg.f64 M) 1))))
(-.f64 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (cos.f64 (fma.f64 (neg.f64 M) 1 M))) (.f64 (sin.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (sin.f64 (fma.f64 (neg.f64 M) 1 M))))
(-.f64 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) 2) M))) (.f64 (sin.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) 2) M))))
(-.f64 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (cos.f64 (+.f64 (neg.f64 M) M))) (.f64 (sin.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (sin.f64 (+.f64 (neg.f64 M) M))))
(.f64 (cos.f64 (-.f64 (.f64 K (*.f64 n 1/2)) M)) 1)
(.f64 1 (cos.f64 (-.f64 (.f64 K (*.f64 n 1/2)) M)))
(.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 K (*.f64 n 1/2)) M))) 2))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))) 2) (cbrt.f64 (cos.f64 (-.f64 (.f64 K (*.f64 n 1/2)) M))))
(.f64 (sqrt.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))) (sqrt.f64 (cos.f64 (-.f64 (.f64 K (*.f64 n 1/2)) M))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M)) 3) (pow.f64 (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 M)) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M)) 2) (-.f64 (pow.f64 (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 M)) 2) (.f64 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M)) (.f64 (sin.f64 (.f64 K (*.f64 n 1/2))) (sin.f64 M))))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M)) 2) (pow.f64 (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 M)) 2)) (cos.f64 (fma.f64 K (*.f64 n 1/2) M)))
(pow.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) 1)
(pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))) 3)
(pow.f64 (pow.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) 2))
(log.f64 (exp.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)))))
(log.f64 (.f64 (exp.f64 (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 M))) (exp.f64 (.f64 (cos.f64 (.f64 K (*.f64 n 1/2))) (cos.f64 M)))))
(cbrt.f64 (pow.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) 3))
(expm1.f64 (log1p.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))))
(exp.f64 (log.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))))
(exp.f64 (.f64 (log.f64 (cos.f64 (-.f64 (.f64 K (*.f64 n 1/2)) M))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 K (*.f64 n 1/2)) M)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (cos.f64 (-.f64 (.f64 K (*.f64 n 1/2)) M)))) 2))
(log1p.f64 (expm1.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))))
(fma.f64 1 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M)) (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 M)))
(fma.f64 1 (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 M)) (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M)))
(fma.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M) (.f64 (sin.f64 (.f64 K (*.f64 n 1/2))) (sin.f64 M)))
(fma.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M) (neg.f64 (.f64 (sin.f64 (.f64 K (*.f64 n 1/2))) (neg.f64 (sin.f64 M)))))
(fma.f64 (cos.f64 M) (cos.f64 (.f64 K (.f64 n 1/2))) (.f64 (sin.f64 (.f64 K (*.f64 n 1/2))) (sin.f64 M)))
(fma.f64 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M)) 1 (.f64 (.f64 (sin.f64 (.f64 K (*.f64 n 1/2))) (sin.f64 M)) 1))
(fma.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 M) (.f64 (cos.f64 (.f64 K (*.f64 n 1/2))) (cos.f64 M)))
(fma.f64 (sin.f64 M) (sin.f64 (.f64 K (.f64 n 1/2))) (.f64 (cos.f64 (.f64 K (*.f64 n 1/2))) (cos.f64 M)))
(fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 M))) (cbrt.f64 (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 M)))) (cbrt.f64 (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 M))) (.f64 (cos.f64 (.f64 K (*.f64 n 1/2))) (cos.f64 M)))
(fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M))) (cbrt.f64 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M)))) (cbrt.f64 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M))) (.f64 (sin.f64 (.f64 K (*.f64 n 1/2))) (sin.f64 M)))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 M))) (sqrt.f64 (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 M))) (.f64 (cos.f64 (.f64 K (*.f64 n 1/2))) (cos.f64 M)))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M))) (sqrt.f64 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M))) (.f64 (sin.f64 (.f64 K (*.f64 n 1/2))) (sin.f64 M)))
(+.f64 0 (.f64 K (.f64 n 1/2)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 K) (.f64 n 1/2))) (cbrt.f64 (pow.f64 (exp.f64 K) (.f64 n 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 K) (.f64 n 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 K) (.f64 n 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 K) (.f64 n 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 K (.f64 n 1/2)))) 1)
(pow.f64 (.f64 K (.f64 n 1/2)) 1)
(pow.f64 (cbrt.f64 (.f64 K (.f64 n 1/2))) 3)
(pow.f64 (pow.f64 (.f64 K (.f64 n 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 K (.f64 n 1/2))) 2)
(sqrt.f64 (.f64 (pow.f64 (.f64 K n) 2) 1/4))
(log.f64 (pow.f64 (exp.f64 K) (*.f64 n 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 K (.f64 n 1/2)))))
(cbrt.f64 (pow.f64 (.f64 K (.f64 n 1/2)) 3))
(expm1.f64 (log1p.f64 (.f64 K (.f64 n 1/2))))
(exp.f64 (log.f64 (.f64 K (.f64 n 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 K (*.f64 n 1/2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 K (.f64 n 1/2))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 K (*.f64 n 1/2)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 K (.f64 n 1/2)))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 K (.f64 n 1/2))) 3) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 K (*.f64 n 1/2)))) 2))
(log1p.f64 (expm1.f64 (.f64 K (.f64 n 1/2))))

Outputs
(cos.f64 (neg.f64 M))
(cos.f64 M)
(+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 n (*.f64 K (sin.f64 (neg.f64 M))))))
(+.f64 (cos.f64 M) (.f64 -1/2 (.f64 n (*.f64 K (sin.f64 (neg.f64 M))))))
(fma.f64 -1/2 (.f64 (neg.f64 (sin.f64 M)) (.f64 n K)) (cos.f64 M))
(fma.f64 -1/2 (.f64 n (.f64 (sin.f64 M) (neg.f64 K))) (cos.f64 M))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 n 2) (pow.f64 K 2)))) (+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M)))))))
(fma.f64 -1/8 (.f64 (cos.f64 M) (.f64 (.f64 n n) (.f64 K K))) (+.f64 (cos.f64 M) (.f64 -1/2 (.f64 n (*.f64 K (sin.f64 (neg.f64 M)))))))
(fma.f64 -1/8 (.f64 (cos.f64 M) (pow.f64 (.f64 n K) 2)) (fma.f64 -1/2 (.f64 (neg.f64 (sin.f64 M)) (.f64 n K)) (cos.f64 M)))
(fma.f64 -1/8 (.f64 (cos.f64 M) (pow.f64 (.f64 n K) 2)) (fma.f64 -1/2 (.f64 n (.f64 (sin.f64 M) (neg.f64 K))) (cos.f64 M)))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 n 2) (pow.f64 K 2)))) (+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M))))) (.f64 1/48 (.f64 (pow.f64 n 3) (*.f64 (pow.f64 K 3) (sin.f64 (neg.f64 M))))))))
(fma.f64 -1/8 (.f64 (cos.f64 M) (.f64 (.f64 n n) (.f64 K K))) (+.f64 (cos.f64 M) (fma.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M)))) (.f64 1/48 (.f64 (pow.f64 n 3) (*.f64 (pow.f64 K 3) (sin.f64 (neg.f64 M))))))))
(+.f64 (fma.f64 -1/2 (.f64 (neg.f64 (sin.f64 M)) (.f64 n K)) (cos.f64 M)) (fma.f64 -1/8 (.f64 (cos.f64 M) (pow.f64 (.f64 n K) 2)) (.f64 (.f64 (pow.f64 K 3) (neg.f64 (sin.f64 M))) (*.f64 1/48 (pow.f64 n 3)))))
(+.f64 (.f64 (neg.f64 (sin.f64 M)) (+.f64 (.f64 1/48 (pow.f64 (.f64 n K) 3)) (.f64 K (.f64 -1/2 n)))) (fma.f64 -1/8 (.f64 (cos.f64 M) (pow.f64 (*.f64 n K) 2)) (cos.f64 M)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (-.f64 (.f64 n (.f64 1/2 K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (-.f64 (.f64 n (.f64 1/2 K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (-.f64 (.f64 n (.f64 1/2 K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (-.f64 (.f64 n (.f64 1/2 K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (-.f64 (.f64 n (.f64 1/2 K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (-.f64 (.f64 n (.f64 1/2 K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (-.f64 (.f64 n (.f64 1/2 K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (-.f64 (.f64 n (.f64 1/2 K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (neg.f64 M))
(cos.f64 M)
(+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 n (*.f64 K (sin.f64 (neg.f64 M))))))
(+.f64 (cos.f64 M) (.f64 -1/2 (.f64 n (*.f64 K (sin.f64 (neg.f64 M))))))
(fma.f64 -1/2 (.f64 (neg.f64 (sin.f64 M)) (.f64 n K)) (cos.f64 M))
(fma.f64 -1/2 (.f64 n (.f64 (sin.f64 M) (neg.f64 K))) (cos.f64 M))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M))))) (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (cos.f64 (neg.f64 M)) (pow.f64 K 2))))))
(fma.f64 -1/8 (.f64 (cos.f64 M) (.f64 (.f64 n n) (.f64 K K))) (+.f64 (cos.f64 M) (.f64 -1/2 (.f64 n (*.f64 K (sin.f64 (neg.f64 M)))))))
(fma.f64 -1/8 (.f64 (cos.f64 M) (pow.f64 (.f64 n K) 2)) (fma.f64 -1/2 (.f64 (neg.f64 (sin.f64 M)) (.f64 n K)) (cos.f64 M)))
(fma.f64 -1/8 (.f64 (cos.f64 M) (pow.f64 (.f64 n K) 2)) (fma.f64 -1/2 (.f64 n (.f64 (sin.f64 M) (neg.f64 K))) (cos.f64 M)))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (cos.f64 (neg.f64 M)) (pow.f64 K 2)))) (.f64 1/48 (.f64 (pow.f64 n 3) (*.f64 (pow.f64 K 3) (sin.f64 (neg.f64 M))))))))
(fma.f64 -1/8 (.f64 (cos.f64 M) (.f64 (.f64 n n) (.f64 K K))) (+.f64 (cos.f64 M) (fma.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M)))) (.f64 1/48 (.f64 (pow.f64 n 3) (*.f64 (pow.f64 K 3) (sin.f64 (neg.f64 M))))))))
(+.f64 (fma.f64 -1/2 (.f64 (neg.f64 (sin.f64 M)) (.f64 n K)) (cos.f64 M)) (fma.f64 -1/8 (.f64 (cos.f64 M) (pow.f64 (.f64 n K) 2)) (.f64 (.f64 (pow.f64 K 3) (neg.f64 (sin.f64 M))) (*.f64 1/48 (pow.f64 n 3)))))
(+.f64 (.f64 (neg.f64 (sin.f64 M)) (+.f64 (.f64 1/48 (pow.f64 (.f64 n K) 3)) (.f64 K (.f64 -1/2 n)))) (fma.f64 -1/8 (.f64 (cos.f64 M) (pow.f64 (*.f64 n K) 2)) (cos.f64 M)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (-.f64 (.f64 n (.f64 1/2 K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (-.f64 (.f64 n (.f64 1/2 K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (-.f64 (.f64 n (.f64 1/2 K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (-.f64 (.f64 n (.f64 1/2 K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (-.f64 (.f64 n (.f64 1/2 K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (-.f64 (.f64 n (.f64 1/2 K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (-.f64 (.f64 n (.f64 1/2 K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (-.f64 (.f64 n (.f64 1/2 K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 K (.f64 n 1/2)))
(cos.f64 (.f64 n (.f64 1/2 K)))
(cos.f64 (.f64 n (.f64 K 1/2)))
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(+.f64 0 (.f64 K (.f64 n 1/2)))
(.f64 K (.f64 n 1/2))
(.f64 n (.f64 1/2 K))
(.f64 n (.f64 K 1/2))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 K) (.f64 n 1/2))) (cbrt.f64 (pow.f64 (exp.f64 K) (.f64 n 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 K) (.f64 n 1/2)))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 K) (.f64 n 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 K) (*.f64 n 1/2)))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 K) (.f64 n 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 K) (.f64 n 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 K) (.f64 n 1/2)))))
(.f64 K (.f64 n 1/2))
(.f64 n (.f64 1/2 K))
(.f64 n (.f64 K 1/2))
(-.f64 (exp.f64 (log1p.f64 (.f64 K (.f64 n 1/2)))) 1)
(.f64 K (.f64 n 1/2))
(.f64 n (.f64 1/2 K))
(.f64 n (.f64 K 1/2))
(pow.f64 (.f64 K (.f64 n 1/2)) 1)
(.f64 K (.f64 n 1/2))
(.f64 n (.f64 1/2 K))
(.f64 n (.f64 K 1/2))
(pow.f64 (cbrt.f64 (.f64 K (.f64 n 1/2))) 3)
(.f64 K (.f64 n 1/2))
(.f64 n (.f64 1/2 K))
(.f64 n (.f64 K 1/2))
(pow.f64 (pow.f64 (.f64 K (.f64 n 1/2)) 3) 1/3)
(.f64 K (.f64 n 1/2))
(.f64 n (.f64 1/2 K))
(.f64 n (.f64 K 1/2))
(pow.f64 (sqrt.f64 (.f64 K (.f64 n 1/2))) 2)
(.f64 K (.f64 n 1/2))
(.f64 n (.f64 1/2 K))
(.f64 n (.f64 K 1/2))
(sqrt.f64 (.f64 (pow.f64 (.f64 K n) 2) 1/4))
(sqrt.f64 (.f64 (pow.f64 (.f64 n K) 2) 1/4))
(sqrt.f64 (pow.f64 (.f64 n (.f64 1/2 K)) 2))
(fabs.f64 (.f64 n (.f64 K 1/2)))
(log.f64 (pow.f64 (exp.f64 K) (*.f64 n 1/2)))
(.f64 K (.f64 n 1/2))
(.f64 n (.f64 1/2 K))
(.f64 n (.f64 K 1/2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 K (.f64 n 1/2)))))
(.f64 K (.f64 n 1/2))
(.f64 n (.f64 1/2 K))
(.f64 n (.f64 K 1/2))
(cbrt.f64 (pow.f64 (.f64 K (.f64 n 1/2)) 3))
(.f64 K (.f64 n 1/2))
(.f64 n (.f64 1/2 K))
(.f64 n (.f64 K 1/2))
(expm1.f64 (log1p.f64 (.f64 K (.f64 n 1/2))))
(.f64 K (.f64 n 1/2))
(.f64 n (.f64 1/2 K))
(.f64 n (.f64 K 1/2))
(exp.f64 (log.f64 (.f64 K (.f64 n 1/2))))
(.f64 K (.f64 n 1/2))
(.f64 n (.f64 1/2 K))
(.f64 n (.f64 K 1/2))
(exp.f64 (.f64 (log.f64 (.f64 K (*.f64 n 1/2))) 1))
(.f64 K (.f64 n 1/2))
(.f64 n (.f64 1/2 K))
(.f64 n (.f64 K 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 K (.f64 n 1/2))) 1) 1))
(.f64 K (.f64 n 1/2))
(.f64 n (.f64 1/2 K))
(.f64 n (.f64 K 1/2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 K (*.f64 n 1/2)))) 3))
(.f64 K (.f64 n 1/2))
(.f64 n (.f64 1/2 K))
(.f64 n (.f64 K 1/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 K (.f64 n 1/2)))) 1/3))
(.f64 K (.f64 n 1/2))
(.f64 n (.f64 1/2 K))
(.f64 n (.f64 K 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 K (.f64 n 1/2))) 3) 1/3))
(.f64 K (.f64 n 1/2))
(.f64 n (.f64 1/2 K))
(.f64 n (.f64 K 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 K (*.f64 n 1/2)))) 2))
(.f64 K (.f64 n 1/2))
(.f64 n (.f64 1/2 K))
(.f64 n (.f64 K 1/2))
(log1p.f64 (expm1.f64 (.f64 K (.f64 n 1/2))))
(.f64 K (.f64 n 1/2))
(.f64 n (.f64 1/2 K))
(.f64 n (.f64 K 1/2))

localize552.0ms (2%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(.f64 K (.f64 (+.f64 m n) 1/2))
✓	98.0%	(expm1.f64 (log1p.f64 (.f64 K (.f64 (+.f64 m n) 1/2))))
✓	89.0%	(log1p.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))
✓	69.2%	(cos.f64 (-.f64 (expm1.f64 (log1p.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))) M))

Compiler

Compiled 165 to 77 computations (53.3% saved)

series14.0ms (0.1%)

Counts

4 → 156

Calls

39 calls:

Time	Variable		Point	Expression
6.0ms	K	@	inf	(cos.f64 (-.f64 (expm1.f64 (log1p.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))) M))
1.0ms	n	@	inf	(log1p.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))
1.0ms	K	@	0	(log1p.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))
1.0ms	m	@	inf	(log1p.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))
1.0ms	m	@	0	(log1p.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))

rewrite99.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1504×	`log-prod`
1112×	`fma-def`
712×	`pow-exp`
576×	`expm1-udef`
574×	`log1p-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	90
1	307	90
2	4160	90

Stop Event

1×	node limit

Counts

4 → 151

Calls

Call 1

Inputs
(cos.f64 (-.f64 (expm1.f64 (log1p.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))) M))
(log1p.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))
(expm1.f64 (log1p.f64 (.f64 K (.f64 (+.f64 m n) 1/2))))
(.f64 K (.f64 (+.f64 m n) 1/2))

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

simplify239.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1194×	`unswap-sqr`
1176×	`fma-neg`
938×	`fma-def`
690×	`associate-r`
570×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	592	12973
1	1602	12513
2	5562	12437

Stop Event

1×	node limit

Counts

307 → 342

Calls

Call 1

Inputs
(cos.f64 (neg.f64 M))
(+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 K (*.f64 (sin.f64 (neg.f64 M)) (+.f64 n m)))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))) (.f64 -1/2 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (+.f64 n m))))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (sin.f64 (neg.f64 M)) (pow.f64 (+.f64 n m) 3)))) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))) (.f64 -1/2 (.f64 K (*.f64 (sin.f64 (neg.f64 M)) (+.f64 n m)))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (*.f64 K m))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (pow.f64 m 2)))) (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (pow.f64 m 2)))) (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (+.f64 (.f64 1/48 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 (pow.f64 K 3) (pow.f64 m 3)))) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (*.f64 K m))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (pow.f64 K 2)))) (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (pow.f64 K 2)))) (+.f64 (.f64 1/48 (.f64 (pow.f64 n 3) (.f64 (pow.f64 K 3) (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) M))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M) (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M) (+.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))) (pow.f64 M 2)))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M) (+.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (+.f64 (.f64 -1/6 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (pow.f64 M 3))) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))) (pow.f64 M 2))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m)))))
(cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m)))))
(cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m)))))
(cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m)))))
(.f64 1/2 (.f64 K (+.f64 n m)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2))) (.f64 1/2 (.f64 K (+.f64 n m))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 K 3) (pow.f64 (+.f64 n m) 3))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2))) (.f64 1/2 (.f64 K (+.f64 n m)))))
(+.f64 (.f64 1/24 (.f64 (pow.f64 K 3) (pow.f64 (+.f64 n m) 3))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2))) (+.f64 (.f64 -1/64 (.f64 (pow.f64 K 4) (pow.f64 (+.f64 n m) 4))) (.f64 1/2 (.f64 K (+.f64 n m))))))
(+.f64 (log.f64 (.f64 1/2 (+.f64 n m))) (.f64 -1 (log.f64 (/.f64 1 K))))
(+.f64 (log.f64 (.f64 1/2 (+.f64 n m))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 K))) (.f64 2 (/.f64 1 (.f64 K (+.f64 n m))))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 K (+.f64 n m)))) (+.f64 (log.f64 (.f64 1/2 (+.f64 n m))) (.f64 -1 (log.f64 (/.f64 1 K))))) (.f64 2 (/.f64 1 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 K (+.f64 n m)))) (+.f64 (log.f64 (.f64 1/2 (+.f64 n m))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 K))) (.f64 8/3 (/.f64 1 (.f64 (pow.f64 K 3) (pow.f64 (+.f64 n m) 3))))))) (.f64 2 (/.f64 1 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 K))) (log.f64 (.f64 -1/2 (+.f64 n m))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 K))) (+.f64 (.f64 2 (/.f64 1 (.f64 K (+.f64 n m)))) (log.f64 (.f64 -1/2 (+.f64 n m)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 K))) (+.f64 (.f64 2 (/.f64 1 (.f64 K (+.f64 n m)))) (log.f64 (.f64 -1/2 (+.f64 n m))))) (.f64 2 (/.f64 1 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 K))) (+.f64 (.f64 2 (/.f64 1 (.f64 K (+.f64 n m)))) (+.f64 (log.f64 (.f64 -1/2 (+.f64 n m))) (.f64 8/3 (/.f64 1 (.f64 (pow.f64 K 3) (pow.f64 (+.f64 n m) 3))))))) (.f64 2 (/.f64 1 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))))
(log.f64 (+.f64 1 (.f64 1/2 (.f64 n K))))
(+.f64 (log.f64 (+.f64 1 (.f64 1/2 (.f64 n K)))) (.f64 1/2 (/.f64 (.f64 K m) (+.f64 1 (.f64 1/2 (.f64 n K))))))
(+.f64 (log.f64 (+.f64 1 (.f64 1/2 (.f64 n K)))) (+.f64 (.f64 1/2 (/.f64 (.f64 K m) (+.f64 1 (.f64 1/2 (.f64 n K))))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 K 2) (pow.f64 m 2)) (pow.f64 (+.f64 1 (.f64 1/2 (.f64 n K))) 2)))))
(+.f64 (log.f64 (+.f64 1 (.f64 1/2 (.f64 n K)))) (+.f64 (.f64 1/2 (/.f64 (.f64 K m) (+.f64 1 (.f64 1/2 (.f64 n K))))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 K 2) (pow.f64 m 2)) (pow.f64 (+.f64 1 (.f64 1/2 (.f64 n K))) 2))) (.f64 1/24 (/.f64 (.f64 (pow.f64 K 3) (pow.f64 m 3)) (pow.f64 (+.f64 1 (.f64 1/2 (.f64 n K))) 3))))))
(+.f64 (log.f64 (.f64 1/2 K)) (.f64 -1 (log.f64 (/.f64 1 m))))
(+.f64 (.f64 2 (/.f64 (+.f64 1 (.f64 1/2 (.f64 n K))) (.f64 K m))) (+.f64 (log.f64 (.f64 1/2 K)) (.f64 -1 (log.f64 (/.f64 1 m)))))
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(fma.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) (sin.f64 M))) (sqrt.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) (sin.f64 M))) (.f64 (cos.f64 (.f64 1/2 (*.f64 K (+.f64 m n)))) (cos.f64 M)))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) (cos.f64 M))) (sqrt.f64 (.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) (cos.f64 M))) (.f64 (sin.f64 (.f64 1/2 (*.f64 K (+.f64 m n)))) (sin.f64 M)))
(+.f64 0 (log1p.f64 (.f64 1/2 (.f64 K (+.f64 m n)))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) 1)) (cbrt.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) 1)))) (log.f64 (cbrt.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) 1))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) 1))) (log.f64 (sqrt.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) 1))))
(-.f64 (log1p.f64 (pow.f64 (.f64 1/2 (.f64 K (+.f64 m n))) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (.f64 1/2 (.f64 K (+.f64 m n))) 2) (.f64 1/2 (.f64 K (+.f64 m n)))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (.f64 1/2 (.f64 K (+.f64 m n)))))) 1)
(-.f64 (log.f64 (-.f64 1 (pow.f64 (.f64 1/2 (.f64 K (+.f64 m n))) 2))) (log.f64 (-.f64 1 (.f64 1/2 (.f64 K (+.f64 m n))))))
(.f64 (log1p.f64 (.f64 1/2 (*.f64 K (+.f64 m n)))) 1)
(.f64 1 (log1p.f64 (.f64 1/2 (*.f64 K (+.f64 m n)))))
(.f64 (cbrt.f64 (log1p.f64 (.f64 1/2 (.f64 K (+.f64 m n))))) (pow.f64 (cbrt.f64 (log1p.f64 (.f64 1/2 (*.f64 K (+.f64 m n))))) 2))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 1/2 (.f64 K (+.f64 m n))))) 2) (cbrt.f64 (log1p.f64 (.f64 1/2 (*.f64 K (+.f64 m n))))))
(.f64 (sqrt.f64 (log1p.f64 (.f64 1/2 (.f64 K (+.f64 m n))))) (sqrt.f64 (log1p.f64 (.f64 1/2 (*.f64 K (+.f64 m n))))))
(pow.f64 (log1p.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (.f64 1/2 (.f64 K (+.f64 m n))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (.f64 1/2 (.f64 K (+.f64 m n))))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) 2))
(log.f64 (fma.f64 K (*.f64 (+.f64 m n) 1/2) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (.f64 1/2 (.f64 K (+.f64 m n))))))
(exp.f64 (log.f64 (log1p.f64 (.f64 1/2 (.f64 K (+.f64 m n))))))
(exp.f64 (.f64 (log.f64 (log1p.f64 (.f64 1/2 (*.f64 K (+.f64 m n))))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 (.f64 1/2 (.f64 K (+.f64 m n))))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (log1p.f64 (.f64 1/2 (*.f64 K (+.f64 m n)))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 (.f64 1/2 (.f64 K (+.f64 m n)))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (log1p.f64 (.f64 1/2 (*.f64 K (+.f64 m n)))))) 2))
(+.f64 (fma.f64 K (*.f64 (+.f64 m n) 1/2) 1) -1)
(+.f64 0 (.f64 1/2 (.f64 K (+.f64 m n))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 m n)) K)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 m n)) K)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 m n)) K))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 m n)) K))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 m n)) K))))
(-.f64 (fma.f64 K (*.f64 (+.f64 m n) 1/2) 1) 1)
(.f64 K (.f64 (+.f64 m n) 1/2))
(.f64 (+.f64 m n) (.f64 1/2 K))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 (.f64 (+.f64 m n) 1/2) K)
(.f64 (.f64 1/2 (*.f64 K (+.f64 m n))) 1)
(.f64 1 (.f64 1/2 (*.f64 K (+.f64 m n))))
(.f64 (cbrt.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) (pow.f64 (cbrt.f64 (.f64 1/2 (*.f64 K (+.f64 m n)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) 2) (cbrt.f64 (.f64 1/2 (*.f64 K (+.f64 m n)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) 1/2)) 2) (.f64 (cbrt.f64 (.f64 (+.f64 m n) 1/2)) K))
(.f64 (pow.f64 (cbrt.f64 K) 2) (.f64 (cbrt.f64 K) (*.f64 (+.f64 m n) 1/2)))
(.f64 (sqrt.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) (sqrt.f64 (.f64 1/2 (*.f64 K (+.f64 m n)))))
(.f64 (sqrt.f64 (.f64 (+.f64 m n) 1/2)) (.f64 (sqrt.f64 (.f64 (+.f64 m n) 1/2)) K))
(.f64 (sqrt.f64 K) (.f64 (sqrt.f64 K) (*.f64 (+.f64 m n) 1/2)))
(.f64 (.f64 K (+.f64 m n)) 1/2)
(.f64 (.f64 K 1/2) (+.f64 m n))
(.f64 (.f64 K (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) 1/2)) 2)) (cbrt.f64 (.f64 (+.f64 m n) 1/2)))
(.f64 (.f64 K (sqrt.f64 (.f64 (+.f64 m n) 1/2))) (sqrt.f64 (.f64 (+.f64 m n) 1/2)))
(.f64 (.f64 (*.f64 (+.f64 m n) 1/2) (pow.f64 (cbrt.f64 K) 2)) (cbrt.f64 K))
(.f64 (.f64 (*.f64 (+.f64 m n) 1/2) (sqrt.f64 K)) (sqrt.f64 K))
(/.f64 (-.f64 (pow.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) 1) 3) 1) (fma.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) 1) (fma.f64 K (.f64 (+.f64 m n) 1/2) 1) (+.f64 1 (.f64 (fma.f64 K (*.f64 (+.f64 m n) 1/2) 1) 1))))
(/.f64 (fma.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) 1) (fma.f64 K (.f64 (+.f64 m n) 1/2) 1) -1) (+.f64 (fma.f64 K (*.f64 (+.f64 m n) 1/2) 1) 1))
(pow.f64 (.f64 1/2 (.f64 K (+.f64 m n))) 1)
(pow.f64 (cbrt.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) 3)
(pow.f64 (pow.f64 (.f64 1/2 (.f64 K (+.f64 m n))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) 2)
(sqrt.f64 (pow.f64 (.f64 1/2 (.f64 K (+.f64 m n))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 m n)) K))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (.f64 K (+.f64 m n))))))
(cbrt.f64 (pow.f64 (.f64 1/2 (.f64 K (+.f64 m n))) 3))
(exp.f64 (log.f64 (.f64 1/2 (.f64 K (+.f64 m n)))))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (*.f64 K (+.f64 m n)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/2 (*.f64 K (+.f64 m n))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 1/2 (.f64 K (+.f64 m n))))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) 3) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 1/2 (*.f64 K (+.f64 m n))))) 2))
(log1p.f64 (expm1.f64 (.f64 1/2 (.f64 K (+.f64 m n)))))
(fma.f64 1 (fma.f64 K (*.f64 (+.f64 m n) 1/2) 1) -1)
(fma.f64 (.f64 (cbrt.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) 1)) (cbrt.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) 1))) (cbrt.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) 1)) (sqrt.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) 1)) -1)
(+.f64 (fma.f64 K (*.f64 (+.f64 m n) 1/2) 1) -1)
(+.f64 0 (.f64 1/2 (.f64 K (+.f64 m n))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 m n)) K)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 m n)) K)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 m n)) K))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 m n)) K))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 m n)) K))))
(-.f64 (fma.f64 K (*.f64 (+.f64 m n) 1/2) 1) 1)
(/.f64 (-.f64 (pow.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) 1) 3) 1) (fma.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) 1) (fma.f64 K (.f64 (+.f64 m n) 1/2) 1) (+.f64 1 (.f64 (fma.f64 K (*.f64 (+.f64 m n) 1/2) 1) 1))))
(/.f64 (fma.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) 1) (fma.f64 K (.f64 (+.f64 m n) 1/2) 1) -1) (+.f64 (fma.f64 K (*.f64 (+.f64 m n) 1/2) 1) 1))
(pow.f64 (.f64 1/2 (.f64 K (+.f64 m n))) 1)
(pow.f64 (cbrt.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) 3)
(pow.f64 (pow.f64 (.f64 1/2 (.f64 K (+.f64 m n))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) 2)
(sqrt.f64 (pow.f64 (.f64 1/2 (.f64 K (+.f64 m n))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 m n)) K))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (.f64 K (+.f64 m n))))))
(cbrt.f64 (pow.f64 (.f64 1/2 (.f64 K (+.f64 m n))) 3))
(expm1.f64 (log1p.f64 (.f64 1/2 (.f64 K (+.f64 m n)))))
(exp.f64 (log.f64 (.f64 1/2 (.f64 K (+.f64 m n)))))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (*.f64 K (+.f64 m n)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/2 (*.f64 K (+.f64 m n))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 1/2 (.f64 K (+.f64 m n))))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) 3) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 1/2 (*.f64 K (+.f64 m n))))) 2))
(log1p.f64 (expm1.f64 (.f64 1/2 (.f64 K (+.f64 m n)))))
(fma.f64 1 (fma.f64 K (*.f64 (+.f64 m n) 1/2) 1) -1)
(fma.f64 (.f64 (cbrt.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) 1)) (cbrt.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) 1))) (cbrt.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) 1)) (sqrt.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) 1)) -1)

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 (.f64 (.f64 -1/2 K) (*.f64 (neg.f64 (sin.f64 M)) (+.f64 n m))) (cos.f64 M))
(fma.f64 (.f64 -1/2 K) (.f64 (neg.f64 (sin.f64 M)) (+.f64 n 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 (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)))) (cos.f64 M))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 (.f64 K K) (cos.f64 M)))) (fma.f64 (.f64 -1/2 K) (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (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 (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))))) (cos.f64 M))
(+.f64 (fma.f64 1/48 (.f64 (neg.f64 (sin.f64 M)) (pow.f64 (.f64 K (+.f64 n m)) 3)) (.f64 -1/8 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 (.f64 K K) (cos.f64 M))))) (fma.f64 (.f64 -1/2 K) (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (cos.f64 M)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (-.f64 (.f64 (+.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 (fma.f64 n (*.f64 K 1/2) (neg.f64 M)))
(+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (*.f64 K m))))
(+.f64 (cos.f64 (fma.f64 1/2 (.f64 K n) (neg.f64 M))) (.f64 -1/2 (.f64 (sin.f64 (fma.f64 1/2 (.f64 K n) (neg.f64 M))) (*.f64 K m))))
(fma.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) (.f64 K m)) (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))
(fma.f64 -1/2 (.f64 (sin.f64 (fma.f64 n (.f64 K 1/2) (neg.f64 M))) (.f64 K m)) (cos.f64 (fma.f64 n (.f64 K 1/2) (neg.f64 M))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (pow.f64 m 2)))) (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m)))))
(fma.f64 -1/8 (.f64 (.f64 K K) (.f64 (cos.f64 (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 K K) (.f64 m m))) (fma.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) (.f64 K m)) (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))
(fma.f64 -1/8 (.f64 (cos.f64 (fma.f64 n (.f64 K 1/2) (neg.f64 M))) (.f64 (.f64 K K) (.f64 m m))) (fma.f64 -1/2 (.f64 (sin.f64 (fma.f64 n (.f64 K 1/2) (neg.f64 M))) (.f64 K m)) (cos.f64 (fma.f64 n (*.f64 K 1/2) (neg.f64 M)))))
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(/.f64 (+.f64 (pow.f64 (fma.f64 K (.f64 (+.f64 n m) 1/2) 1) 3) -1) (fma.f64 (fma.f64 K (.f64 (+.f64 n m) 1/2) 1) (fma.f64 K (.f64 (+.f64 n m) 1/2) 1) (+.f64 1 (fma.f64 K (.f64 (+.f64 n m) 1/2) 1))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 (+.f64 n m) (.f64 K 1/2) 1) 3)) (fma.f64 (fma.f64 (+.f64 n m) (.f64 K 1/2) 1) (fma.f64 (+.f64 n m) (.f64 K 1/2) 1) (+.f64 (.f64 (+.f64 n m) (*.f64 K 1/2)) 2)))
(/.f64 (fma.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) 1) (fma.f64 K (.f64 (+.f64 m n) 1/2) 1) -1) (+.f64 (fma.f64 K (*.f64 (+.f64 m n) 1/2) 1) 1))
(/.f64 (fma.f64 (fma.f64 K (.f64 (+.f64 n m) 1/2) 1) (fma.f64 K (.f64 (+.f64 n m) 1/2) 1) -1) (+.f64 1 (fma.f64 K (*.f64 (+.f64 n m) 1/2) 1)))
(/.f64 (fma.f64 (fma.f64 (+.f64 n m) (.f64 K 1/2) 1) (fma.f64 (+.f64 n m) (.f64 K 1/2) 1) -1) (+.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) 2))
(pow.f64 (.f64 1/2 (.f64 K (+.f64 m n))) 1)
(.f64 K (.f64 (+.f64 n m) 1/2))
(.f64 (+.f64 n m) (.f64 K 1/2))
(pow.f64 (cbrt.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) 3)
(.f64 K (.f64 (+.f64 n m) 1/2))
(.f64 (+.f64 n m) (.f64 K 1/2))
(pow.f64 (pow.f64 (.f64 1/2 (.f64 K (+.f64 m n))) 3) 1/3)
(.f64 K (.f64 (+.f64 n m) 1/2))
(.f64 (+.f64 n m) (.f64 K 1/2))
(pow.f64 (sqrt.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) 2)
(.f64 K (.f64 (+.f64 n m) 1/2))
(.f64 (+.f64 n m) (.f64 K 1/2))
(sqrt.f64 (pow.f64 (.f64 1/2 (.f64 K (+.f64 m n))) 2))
(.f64 K (.f64 (+.f64 n m) 1/2))
(.f64 (+.f64 n m) (.f64 K 1/2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 m n)) K))
(.f64 K (.f64 (+.f64 n m) 1/2))
(.f64 (+.f64 n m) (.f64 K 1/2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (.f64 K (+.f64 m n))))))
(.f64 K (.f64 (+.f64 n m) 1/2))
(.f64 (+.f64 n m) (.f64 K 1/2))
(cbrt.f64 (pow.f64 (.f64 1/2 (.f64 K (+.f64 m n))) 3))
(.f64 K (.f64 (+.f64 n m) 1/2))
(.f64 (+.f64 n m) (.f64 K 1/2))
(exp.f64 (log.f64 (.f64 1/2 (.f64 K (+.f64 m n)))))
(.f64 K (.f64 (+.f64 n m) 1/2))
(.f64 (+.f64 n m) (.f64 K 1/2))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (*.f64 K (+.f64 m n)))) 1))
(.f64 K (.f64 (+.f64 n m) 1/2))
(.f64 (+.f64 n m) (.f64 K 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) 1) 1))
(.f64 K (.f64 (+.f64 n m) 1/2))
(.f64 (+.f64 n m) (.f64 K 1/2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/2 (*.f64 K (+.f64 m n))))) 3))
(.f64 K (.f64 (+.f64 n m) 1/2))
(.f64 (+.f64 n m) (.f64 K 1/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 1/2 (.f64 K (+.f64 m n))))) 1/3))
(.f64 K (.f64 (+.f64 n m) 1/2))
(.f64 (+.f64 n m) (.f64 K 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) 3) 1/3))
(.f64 K (.f64 (+.f64 n m) 1/2))
(.f64 (+.f64 n m) (.f64 K 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 1/2 (*.f64 K (+.f64 m n))))) 2))
(.f64 K (.f64 (+.f64 n m) 1/2))
(.f64 (+.f64 n m) (.f64 K 1/2))
(log1p.f64 (expm1.f64 (.f64 1/2 (.f64 K (+.f64 m n)))))
(.f64 K (.f64 (+.f64 n m) 1/2))
(.f64 (+.f64 n m) (.f64 K 1/2))
(fma.f64 1 (fma.f64 K (*.f64 (+.f64 m n) 1/2) 1) -1)
(.f64 K (.f64 (+.f64 n m) 1/2))
(.f64 (+.f64 n m) (.f64 K 1/2))
(fma.f64 (.f64 (cbrt.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) 1)) (cbrt.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) 1))) (cbrt.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) 1)) -1)
(.f64 K (.f64 (+.f64 n m) 1/2))
(.f64 (+.f64 n m) (.f64 K 1/2))
(fma.f64 (sqrt.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) 1)) (sqrt.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) 1)) -1)
(.f64 K (.f64 (+.f64 n m) 1/2))
(.f64 (+.f64 n m) (.f64 K 1/2))
(+.f64 (fma.f64 K (*.f64 (+.f64 m n) 1/2) 1) -1)
(.f64 K (.f64 (+.f64 n m) 1/2))
(.f64 (+.f64 n m) (.f64 K 1/2))
(+.f64 0 (.f64 1/2 (.f64 K (+.f64 m n))))
(.f64 K (.f64 (+.f64 n m) 1/2))
(.f64 (+.f64 n m) (.f64 K 1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 m n)) K)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 m n)) K)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 m n)) K))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 n m)) K)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 n m)) K)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 n m)) K))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 n m)) K)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 n m)) K))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 m n)) K))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 m n)) K))))
(.f64 K (.f64 (+.f64 n m) 1/2))
(.f64 (+.f64 n m) (.f64 K 1/2))
(-.f64 (fma.f64 K (*.f64 (+.f64 m n) 1/2) 1) 1)
(.f64 K (.f64 (+.f64 n m) 1/2))
(.f64 (+.f64 n m) (.f64 K 1/2))
(/.f64 (-.f64 (pow.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) 1) 3) 1) (fma.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) 1) (fma.f64 K (.f64 (+.f64 m n) 1/2) 1) (+.f64 1 (.f64 (fma.f64 K (*.f64 (+.f64 m n) 1/2) 1) 1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 K (.f64 (+.f64 n m) 1/2) 1) 3) -1) (fma.f64 (fma.f64 K (.f64 (+.f64 n m) 1/2) 1) (fma.f64 K (.f64 (+.f64 n m) 1/2) 1) (+.f64 1 (fma.f64 K (.f64 (+.f64 n m) 1/2) 1))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 (+.f64 n m) (.f64 K 1/2) 1) 3)) (fma.f64 (fma.f64 (+.f64 n m) (.f64 K 1/2) 1) (fma.f64 (+.f64 n m) (.f64 K 1/2) 1) (+.f64 (.f64 (+.f64 n m) (*.f64 K 1/2)) 2)))
(/.f64 (fma.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) 1) (fma.f64 K (.f64 (+.f64 m n) 1/2) 1) -1) (+.f64 (fma.f64 K (*.f64 (+.f64 m n) 1/2) 1) 1))
(/.f64 (fma.f64 (fma.f64 K (.f64 (+.f64 n m) 1/2) 1) (fma.f64 K (.f64 (+.f64 n m) 1/2) 1) -1) (+.f64 1 (fma.f64 K (*.f64 (+.f64 n m) 1/2) 1)))
(/.f64 (fma.f64 (fma.f64 (+.f64 n m) (.f64 K 1/2) 1) (fma.f64 (+.f64 n m) (.f64 K 1/2) 1) -1) (+.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) 2))
(pow.f64 (.f64 1/2 (.f64 K (+.f64 m n))) 1)
(.f64 K (.f64 (+.f64 n m) 1/2))
(.f64 (+.f64 n m) (.f64 K 1/2))
(pow.f64 (cbrt.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) 3)
(.f64 K (.f64 (+.f64 n m) 1/2))
(.f64 (+.f64 n m) (.f64 K 1/2))
(pow.f64 (pow.f64 (.f64 1/2 (.f64 K (+.f64 m n))) 3) 1/3)
(.f64 K (.f64 (+.f64 n m) 1/2))
(.f64 (+.f64 n m) (.f64 K 1/2))
(pow.f64 (sqrt.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) 2)
(.f64 K (.f64 (+.f64 n m) 1/2))
(.f64 (+.f64 n m) (.f64 K 1/2))
(sqrt.f64 (pow.f64 (.f64 1/2 (.f64 K (+.f64 m n))) 2))
(.f64 K (.f64 (+.f64 n m) 1/2))
(.f64 (+.f64 n m) (.f64 K 1/2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 m n)) K))
(.f64 K (.f64 (+.f64 n m) 1/2))
(.f64 (+.f64 n m) (.f64 K 1/2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/2 (.f64 K (+.f64 m n))))))
(.f64 K (.f64 (+.f64 n m) 1/2))
(.f64 (+.f64 n m) (.f64 K 1/2))
(cbrt.f64 (pow.f64 (.f64 1/2 (.f64 K (+.f64 m n))) 3))
(.f64 K (.f64 (+.f64 n m) 1/2))
(.f64 (+.f64 n m) (.f64 K 1/2))
(expm1.f64 (log1p.f64 (.f64 1/2 (.f64 K (+.f64 m n)))))
(.f64 K (.f64 (+.f64 n m) 1/2))
(.f64 (+.f64 n m) (.f64 K 1/2))
(exp.f64 (log.f64 (.f64 1/2 (.f64 K (+.f64 m n)))))
(.f64 K (.f64 (+.f64 n m) 1/2))
(.f64 (+.f64 n m) (.f64 K 1/2))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (*.f64 K (+.f64 m n)))) 1))
(.f64 K (.f64 (+.f64 n m) 1/2))
(.f64 (+.f64 n m) (.f64 K 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) 1) 1))
(.f64 K (.f64 (+.f64 n m) 1/2))
(.f64 (+.f64 n m) (.f64 K 1/2))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/2 (*.f64 K (+.f64 m n))))) 3))
(.f64 K (.f64 (+.f64 n m) 1/2))
(.f64 (+.f64 n m) (.f64 K 1/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 1/2 (.f64 K (+.f64 m n))))) 1/3))
(.f64 K (.f64 (+.f64 n m) 1/2))
(.f64 (+.f64 n m) (.f64 K 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) 3) 1/3))
(.f64 K (.f64 (+.f64 n m) 1/2))
(.f64 (+.f64 n m) (.f64 K 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 1/2 (*.f64 K (+.f64 m n))))) 2))
(.f64 K (.f64 (+.f64 n m) 1/2))
(.f64 (+.f64 n m) (.f64 K 1/2))
(log1p.f64 (expm1.f64 (.f64 1/2 (.f64 K (+.f64 m n)))))
(.f64 K (.f64 (+.f64 n m) 1/2))
(.f64 (+.f64 n m) (.f64 K 1/2))
(fma.f64 1 (fma.f64 K (*.f64 (+.f64 m n) 1/2) 1) -1)
(.f64 K (.f64 (+.f64 n m) 1/2))
(.f64 (+.f64 n m) (.f64 K 1/2))
(fma.f64 (.f64 (cbrt.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) 1)) (cbrt.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) 1))) (cbrt.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) 1)) -1)
(.f64 K (.f64 (+.f64 n m) 1/2))
(.f64 (+.f64 n m) (.f64 K 1/2))
(fma.f64 (sqrt.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) 1)) (sqrt.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) 1)) -1)
(.f64 K (.f64 (+.f64 n m) 1/2))
(.f64 (+.f64 n m) (.f64 K 1/2))

localize838.0ms (3.1%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(*.f64 K (+.f64 m n))
✓	99.7%	(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M)))))
✓	99.3%	(log1p.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M))))
✓	40.5%	(cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M)))

Compiler

Compiled 162 to 64 computations (60.5% saved)

series401.0ms (1.5%)

Counts

4 → 180

Calls

45 calls:

Time	Variable		Point	Expression
85.0ms	K	@	inf	(log1p.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M))))
72.0ms	M	@	inf	(log1p.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M))))
57.0ms	m	@	inf	(log1p.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M))))
49.0ms	m	@	-inf	(log1p.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M))))
47.0ms	n	@	inf	(log1p.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M))))

rewrite101.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1752×	`prod-diff`
1384×	`log-prod`
618×	`fma-def`
540×	`expm1-udef`
538×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	104
1	316	92
2	4067	92

Stop Event

1×	node limit

Counts

4 → 148

Calls

Call 1

Inputs
(cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M)))
(log1p.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M))))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M)))))
(*.f64 K (+.f64 m n))

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

simplify260.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

908×	`associate-r`
704×	`associate-l`
644×	`fma-def`
496×	`*-commutative`
420×	`distribute-rgt-neg-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	531	14476
1	1457	13982
2	5278	13594

Stop Event

1×	node limit

Counts

328 → 267

Calls

Call 1

Inputs
(cos.f64 (neg.f64 M))
(+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 K (*.f64 (sin.f64 (neg.f64 M)) (+.f64 n m)))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))) (.f64 -1/2 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (+.f64 n m))))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (sin.f64 (neg.f64 M)) (pow.f64 (+.f64 n m) 3)))) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))) (.f64 -1/2 (.f64 K (*.f64 (sin.f64 (neg.f64 M)) (+.f64 n m)))))))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 (neg.f64 M)))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 (neg.f64 M)))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 (neg.f64 M)))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 (neg.f64 M)))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 (neg.f64 M)))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 (neg.f64 M)))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 (neg.f64 M)))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 (neg.f64 M)))
(cos.f64 (-.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 K (+.f64 n m)) 1/2 (neg.f64 M)))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 (neg.f64 M)))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 (neg.f64 M)))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 (neg.f64 M)))
(cos.f64 (fma.f64 (.f64 K (-.f64 n (.f64 -1 m))) 1/2 (neg.f64 M)))
(cos.f64 (fma.f64 (.f64 K (-.f64 n (.f64 -1 m))) 1/2 (neg.f64 M)))
(cos.f64 (fma.f64 (.f64 K (-.f64 n (.f64 -1 m))) 1/2 (neg.f64 M)))
(cos.f64 (fma.f64 (.f64 K (-.f64 n (.f64 -1 m))) 1/2 (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 K (+.f64 n m)) 1/2 (neg.f64 M)))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 (neg.f64 M)))
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(log.f64 (.f64 (exp.f64 (.f64 K n)) (exp.f64 (*.f64 K m))))
(cbrt.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3))
(cbrt.f64 (*.f64 (pow.f64 K 3) (pow.f64 (+.f64 m n) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 m n) 3) (pow.f64 K 3)))
(expm1.f64 (log1p.f64 (*.f64 K (+.f64 m n))))
(exp.f64 (log.f64 (*.f64 K (+.f64 m n))))
(exp.f64 (.f64 (log.f64 (.f64 K (+.f64 m n))) 1))
(log1p.f64 (expm1.f64 (*.f64 K (+.f64 m n))))
(fma.f64 K m (*.f64 K n))
(fma.f64 K n (*.f64 K m))
(fma.f64 m K (*.f64 K n))
(fma.f64 n K (*.f64 K m))
(fma.f64 1 (.f64 K m) (.f64 K n))
(fma.f64 1 (.f64 K n) (.f64 K m))
(fma.f64 (pow.f64 (cbrt.f64 m) 2) (.f64 (cbrt.f64 m) K) (.f64 K n))
(fma.f64 (pow.f64 (cbrt.f64 K) 2) (.f64 (cbrt.f64 K) m) (.f64 K n))
(fma.f64 (pow.f64 (cbrt.f64 K) 2) (.f64 (cbrt.f64 K) n) (.f64 K m))
(fma.f64 (pow.f64 (cbrt.f64 n) 2) (.f64 (cbrt.f64 n) K) (.f64 K m))
(fma.f64 (sqrt.f64 m) (.f64 (sqrt.f64 m) K) (.f64 K n))
(fma.f64 (sqrt.f64 K) (.f64 (sqrt.f64 K) m) (.f64 K n))
(fma.f64 (sqrt.f64 K) (.f64 (sqrt.f64 K) n) (.f64 K m))
(fma.f64 (sqrt.f64 n) (.f64 (sqrt.f64 n) K) (.f64 K m))
(fma.f64 (.f64 K m) 1 (.f64 (*.f64 K n) 1))
(fma.f64 (.f64 (cbrt.f64 (.f64 K n)) (cbrt.f64 (.f64 K n))) (cbrt.f64 (.f64 K n)) (*.f64 K m))
(fma.f64 (.f64 (cbrt.f64 (.f64 K m)) (cbrt.f64 (.f64 K m))) (cbrt.f64 (.f64 K m)) (*.f64 K n))
(fma.f64 (sqrt.f64 (.f64 K n)) (sqrt.f64 (.f64 K n)) (*.f64 K m))
(fma.f64 (sqrt.f64 (.f64 K m)) (sqrt.f64 (.f64 K m)) (*.f64 K n))
(fma.f64 (.f64 (sqrt.f64 m) (sqrt.f64 K)) (.f64 (sqrt.f64 m) (sqrt.f64 K)) (*.f64 K n))
(fma.f64 (.f64 (sqrt.f64 n) (sqrt.f64 K)) (.f64 (sqrt.f64 n) (sqrt.f64 K)) (*.f64 K m))
(fma.f64 (.f64 (sqrt.f64 K) (sqrt.f64 m)) (.f64 (sqrt.f64 K) (sqrt.f64 m)) (*.f64 K n))
(fma.f64 (.f64 (sqrt.f64 K) (sqrt.f64 n)) (.f64 (sqrt.f64 K) (sqrt.f64 n)) (*.f64 K m))
(fma.f64 (.f64 m (pow.f64 (cbrt.f64 K) 2)) (cbrt.f64 K) (.f64 K n))
(fma.f64 (.f64 m (sqrt.f64 K)) (sqrt.f64 K) (.f64 K n))
(fma.f64 (.f64 n (pow.f64 (cbrt.f64 K) 2)) (cbrt.f64 K) (.f64 K m))
(fma.f64 (.f64 n (sqrt.f64 K)) (sqrt.f64 K) (.f64 K m))
(fma.f64 (.f64 K (pow.f64 (cbrt.f64 m) 2)) (cbrt.f64 m) (.f64 K n))
(fma.f64 (.f64 K (sqrt.f64 m)) (sqrt.f64 m) (.f64 K n))
(fma.f64 (.f64 K (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n) (.f64 K m))
(fma.f64 (.f64 K (sqrt.f64 n)) (sqrt.f64 n) (.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 (.f64 (.f64 -1/2 K) (*.f64 (sin.f64 (neg.f64 M)) (+.f64 n m))) (cos.f64 M))
(fma.f64 -1/2 (.f64 (+.f64 n m) (.f64 K (neg.f64 (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 (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)))) (cos.f64 M))
(+.f64 (.f64 (pow.f64 (.f64 K (+.f64 n m)) 2) (.f64 -1/8 (cos.f64 M))) (fma.f64 -1/2 (.f64 (+.f64 n m) (*.f64 K (neg.f64 (sin.f64 M)))) (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 (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))))) (cos.f64 M))
(+.f64 (fma.f64 1/48 (.f64 (neg.f64 (sin.f64 M)) (pow.f64 (.f64 K (+.f64 n m)) 3)) (fma.f64 -1/2 (.f64 (+.f64 n m) (.f64 K (neg.f64 (sin.f64 M)))) (.f64 (pow.f64 (.f64 K (+.f64 n m)) 2) (*.f64 -1/8 (cos.f64 M))))) (cos.f64 M))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 (neg.f64 M)))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 (neg.f64 M)))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 (neg.f64 M)))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 (neg.f64 M)))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 (neg.f64 M)))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 (neg.f64 M)))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 (neg.f64 M)))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 (neg.f64 M)))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (fma.f64 1/2 (*.f64 K n) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (fma.f64 n (*.f64 K 1/2) (neg.f64 M)))
(+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (*.f64 K m))))
(+.f64 (cos.f64 (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 m (.f64 K (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 m (.f64 K (sin.f64 (fma.f64 n (.f64 K 1/2) (neg.f64 M))))) (cos.f64 (fma.f64 n (.f64 K 1/2) (neg.f64 M))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (pow.f64 m 2)))) (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m)))))
(fma.f64 -1/8 (.f64 (.f64 K K) (.f64 (cos.f64 (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 K (.f64 K (.f64 m m)))) (fma.f64 -1/2 (.f64 m (.f64 K (sin.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))
(fma.f64 -1/8 (.f64 (cos.f64 (fma.f64 n (.f64 K 1/2) (neg.f64 M))) (.f64 K (.f64 K (.f64 m m)))) (fma.f64 -1/2 (.f64 m (.f64 K (sin.f64 (fma.f64 n (.f64 K 1/2) (neg.f64 M))))) (cos.f64 (fma.f64 n (*.f64 K 1/2) (neg.f64 M)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (pow.f64 m 2)))) (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (+.f64 (.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))) (pow.f64 (.f64 K 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 K (.f64 K (.f64 m m)))) (fma.f64 -1/2 (.f64 m (.f64 K (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 (pow.f64 (*.f64 K m) 3) 1/48)))
(+.f64 (.f64 (sin.f64 (fma.f64 n (.f64 K 1/2) (neg.f64 M))) (+.f64 (.f64 (.f64 K m) -1/2) (.f64 (pow.f64 (.f64 K m) 3) 1/48))) (fma.f64 -1/8 (.f64 (cos.f64 (fma.f64 n (.f64 K 1/2) (neg.f64 M))) (.f64 K (.f64 K (.f64 m m)))) (cos.f64 (fma.f64 n (.f64 K 1/2) (neg.f64 M)))))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 (neg.f64 M)))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 (neg.f64 M)))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 (neg.f64 M)))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 (neg.f64 M)))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (fma.f64 (.f64 K (-.f64 n (.f64 -1 m))) 1/2 (neg.f64 M)))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 (neg.f64 M)))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (fma.f64 (.f64 K (-.f64 n (.f64 -1 m))) 1/2 (neg.f64 M)))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 (neg.f64 M)))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (fma.f64 (.f64 K (-.f64 n (.f64 -1 m))) 1/2 (neg.f64 M)))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 (neg.f64 M)))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (fma.f64 (.f64 K (-.f64 n (.f64 -1 m))) 1/2 (neg.f64 M)))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 (neg.f64 M)))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.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 (fma.f64 K (*.f64 1/2 m) (neg.f64 M)))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)))
(fma.f64 -1/2 (.f64 (.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 (fma.f64 1/2 (.f64 K m) (neg.f64 M))) (.f64 K n)) (cos.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M))))
(fma.f64 -1/2 (.f64 (sin.f64 (fma.f64 K (.f64 1/2 m) (neg.f64 M))) (.f64 K n)) (cos.f64 (fma.f64 K (.f64 1/2 m) (neg.f64 M))))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (pow.f64 K 2)))) (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))
(fma.f64 -1/2 (.f64 (.f64 K n) (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))) (fma.f64 -1/8 (.f64 (.f64 n n) (.f64 (.f64 K K) (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))) (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))
(fma.f64 -1/2 (.f64 (sin.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M))) (.f64 K n)) (fma.f64 -1/8 (.f64 (cos.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M))) (.f64 K (.f64 n (.f64 K n)))) (cos.f64 (fma.f64 1/2 (*.f64 K m) (neg.f64 M)))))
(fma.f64 -1/2 (.f64 (sin.f64 (fma.f64 K (.f64 1/2 m) (neg.f64 M))) (.f64 K n)) (fma.f64 -1/8 (.f64 (cos.f64 (fma.f64 K (.f64 1/2 m) (neg.f64 M))) (.f64 K (.f64 n (.f64 K n)))) (cos.f64 (fma.f64 K (*.f64 1/2 m) (neg.f64 M)))))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (pow.f64 K 2)))) (+.f64 (.f64 1/48 (.f64 (pow.f64 n 3) (.f64 (pow.f64 K 3) (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)))))
(fma.f64 -1/2 (.f64 (.f64 K n) (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))) (fma.f64 -1/8 (.f64 (.f64 n n) (.f64 (.f64 K K) (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))) (fma.f64 1/48 (.f64 (.f64 (pow.f64 n 3) (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 (sin.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M))) (.f64 K n)) (fma.f64 -1/8 (.f64 (cos.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M))) (.f64 K (.f64 n (.f64 K n)))) (fma.f64 1/48 (.f64 (sin.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M))) (pow.f64 (.f64 K n) 3)) (cos.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M))))))
(fma.f64 -1/2 (.f64 (sin.f64 (fma.f64 K (.f64 1/2 m) (neg.f64 M))) (.f64 K n)) (fma.f64 -1/8 (.f64 (cos.f64 (fma.f64 K (.f64 1/2 m) (neg.f64 M))) (.f64 K (.f64 n (.f64 K n)))) (fma.f64 1/48 (.f64 (sin.f64 (fma.f64 K (.f64 1/2 m) (neg.f64 M))) (pow.f64 (.f64 K n) 3)) (cos.f64 (fma.f64 K (.f64 1/2 m) (neg.f64 M))))))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 (neg.f64 M)))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 (neg.f64 M)))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 (neg.f64 M)))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 (neg.f64 M)))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (fma.f64 (.f64 K (-.f64 m (.f64 -1 n))) 1/2 (neg.f64 M)))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 (neg.f64 M)))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (fma.f64 (.f64 K (-.f64 m (.f64 -1 n))) 1/2 (neg.f64 M)))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 (neg.f64 M)))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (fma.f64 (.f64 K (-.f64 m (.f64 -1 n))) 1/2 (neg.f64 M)))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 (neg.f64 M)))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (fma.f64 (.f64 K (-.f64 m (.f64 -1 n))) 1/2 (neg.f64 M)))
(cos.f64 (fma.f64 (*.f64 K (+.f64 n m)) 1/2 (neg.f64 M)))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 (+.f64 n m) (.f64 K 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 n m) (.f64 K 1/2))) M (cos.f64 (.f64 (+.f64 n m) (.f64 K 1/2))))
(fma.f64 M (sin.f64 (.f64 (+.f64 n m) (.f64 K 1/2))) (cos.f64 (.f64 (+.f64 n m) (.f64 K 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 n m) (.f64 K 1/2))) M (cos.f64 (.f64 (+.f64 n m) (.f64 K 1/2)))) (.f64 -1/2 (.f64 (cos.f64 (.f64 (+.f64 n m) (.f64 K 1/2))) (*.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)))))
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(cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) M))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) M)) 3))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) M))
(cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) M))
(exp.f64 (log.f64 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) M))))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) M))
(exp.f64 (.f64 (log.f64 (cos.f64 (fma.f64 (+.f64 m n) (.f64 K 1/2) M))) 1))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) M))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) M))))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) M))
(fma.f64 1 (+.f64 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) M)) 1) -1)
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) M))
(fma.f64 (.f64 (cbrt.f64 (+.f64 (cos.f64 (fma.f64 (+.f64 m n) (.f64 K 1/2) M)) 1)) (cbrt.f64 (+.f64 (cos.f64 (fma.f64 (+.f64 m n) (.f64 K 1/2) M)) 1))) (cbrt.f64 (+.f64 (cos.f64 (fma.f64 (+.f64 m n) (.f64 K 1/2) M)) 1)) -1)
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) M))
(fma.f64 (sqrt.f64 (+.f64 (cos.f64 (fma.f64 (+.f64 m n) (.f64 K 1/2) M)) 1)) (sqrt.f64 (+.f64 (cos.f64 (fma.f64 (+.f64 m n) (.f64 K 1/2) M)) 1)) -1)
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) M))
(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))))
(-.f64 (.f64 (cos.f64 (.f64 (+.f64 n m) (.f64 K 1/2))) (cos.f64 M)) (.f64 (sin.f64 (.f64 (+.f64 n m) (.f64 K 1/2))) (sin.f64 M)))
(+.f64 0 (*.f64 K (+.f64 m n)))
(*.f64 K (+.f64 n m))
(+.f64 (.f64 K m) (.f64 K n))
(*.f64 K (+.f64 n m))
(+.f64 (.f64 K n) (.f64 K m))
(*.f64 K (+.f64 n m))
(+.f64 (.f64 (.f64 K m) 1) (.f64 (.f64 K n) 1))
(*.f64 K (+.f64 n m))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 K) (+.f64 m n))) (cbrt.f64 (pow.f64 (exp.f64 K) (+.f64 m n))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 K) (+.f64 m n)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 K) (+.f64 n m))) (cbrt.f64 (pow.f64 (exp.f64 K) (+.f64 n m))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 K) (+.f64 n m)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 K) (+.f64 n m))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 K) (+.f64 n m)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 K) (+.f64 m n)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 K) (+.f64 m n)))))
(*.f64 K (+.f64 n m))
(-.f64 (exp.f64 (log1p.f64 (*.f64 K (+.f64 m n)))) 1)
(*.f64 K (+.f64 n m))
(/.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)))))
(/.f64 (+.f64 (pow.f64 (.f64 K m) 3) (pow.f64 (.f64 K n) 3)) (fma.f64 (.f64 K m) (.f64 K m) (.f64 (.f64 K n) (-.f64 (.f64 K n) (.f64 K m)))))
(/.f64 (+.f64 (pow.f64 (.f64 K m) 3) (pow.f64 (.f64 K n) 3)) (fma.f64 K (.f64 m (.f64 K m)) (.f64 (.f64 K n) (*.f64 K (-.f64 n m)))))
(/.f64 (+.f64 (pow.f64 (.f64 K m) 3) (pow.f64 (.f64 K n) 3)) (.f64 K (+.f64 (.f64 m (.f64 K m)) (.f64 n (*.f64 K (-.f64 n m))))))
(/.f64 (-.f64 (.f64 (.f64 K m) (.f64 K m)) (.f64 (.f64 K n) (.f64 K n))) (-.f64 (.f64 K m) (.f64 K n)))
(/.f64 (.f64 (.f64 K (+.f64 n m)) (.f64 K (-.f64 m n))) (.f64 K (-.f64 m n)))
(.f64 (/.f64 (.f64 K (+.f64 n m)) K) (/.f64 (*.f64 K (-.f64 m n)) (-.f64 m n)))
(/.f64 (*.f64 K (+.f64 n m)) 1)
(/.f64 (.f64 K (+.f64 (pow.f64 m 3) (pow.f64 n 3))) (fma.f64 m m (.f64 n (-.f64 n m))))
(/.f64 K (/.f64 (fma.f64 m m (*.f64 n (-.f64 n m))) (+.f64 (pow.f64 m 3) (pow.f64 n 3))))
(/.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3)) (/.f64 (fma.f64 m m (*.f64 n (-.f64 n m))) K))
(/.f64 (.f64 K (-.f64 (.f64 m m) (*.f64 n n))) (-.f64 m n))
(/.f64 (-.f64 (.f64 m m) (.f64 n n)) (/.f64 (-.f64 m n) K))
(.f64 (/.f64 K (-.f64 m n)) (-.f64 (.f64 m m) (*.f64 n n)))
(/.f64 (.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3)) K) (fma.f64 m m (.f64 n (-.f64 n m))))
(/.f64 K (/.f64 (fma.f64 m m (*.f64 n (-.f64 n m))) (+.f64 (pow.f64 m 3) (pow.f64 n 3))))
(/.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3)) (/.f64 (fma.f64 m m (*.f64 n (-.f64 n m))) K))
(/.f64 (.f64 (-.f64 (.f64 m m) (*.f64 n n)) K) (-.f64 m n))
(/.f64 (-.f64 (.f64 m m) (.f64 n n)) (/.f64 (-.f64 m n) K))
(.f64 (/.f64 K (-.f64 m n)) (-.f64 (.f64 m m) (*.f64 n n)))
(pow.f64 (*.f64 K (+.f64 m n)) 1)
(*.f64 K (+.f64 n m))
(pow.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) 3)
(*.f64 K (+.f64 n m))
(pow.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3) 1/3)
(*.f64 K (+.f64 n m))
(pow.f64 (sqrt.f64 (*.f64 K (+.f64 m n))) 2)
(*.f64 K (+.f64 n m))
(sqrt.f64 (pow.f64 (*.f64 K (+.f64 m n)) 2))
(*.f64 K (+.f64 n m))
(log.f64 (pow.f64 (exp.f64 K) (+.f64 m n)))
(*.f64 K (+.f64 n m))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 K (+.f64 m n)))))
(*.f64 K (+.f64 n m))
(log.f64 (.f64 (exp.f64 (.f64 K n)) (exp.f64 (*.f64 K m))))
(*.f64 K (+.f64 n m))
(cbrt.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3))
(*.f64 K (+.f64 n m))
(cbrt.f64 (*.f64 (pow.f64 K 3) (pow.f64 (+.f64 m n) 3)))
(*.f64 K (+.f64 n m))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 m n) 3) (pow.f64 K 3)))
(*.f64 K (+.f64 n m))
(expm1.f64 (log1p.f64 (*.f64 K (+.f64 m n))))
(*.f64 K (+.f64 n m))
(exp.f64 (log.f64 (*.f64 K (+.f64 m n))))
(*.f64 K (+.f64 n m))
(exp.f64 (.f64 (log.f64 (.f64 K (+.f64 m n))) 1))
(*.f64 K (+.f64 n m))
(log1p.f64 (expm1.f64 (*.f64 K (+.f64 m n))))
(*.f64 K (+.f64 n m))
(fma.f64 K m (*.f64 K n))
(*.f64 K (+.f64 n m))
(fma.f64 K n (*.f64 K m))
(*.f64 K (+.f64 n m))
(fma.f64 m K (*.f64 K n))
(*.f64 K (+.f64 n m))
(fma.f64 n K (*.f64 K m))
(*.f64 K (+.f64 n m))
(fma.f64 1 (.f64 K m) (.f64 K n))
(*.f64 K (+.f64 n m))
(fma.f64 1 (.f64 K n) (.f64 K m))
(*.f64 K (+.f64 n m))
(fma.f64 (pow.f64 (cbrt.f64 m) 2) (.f64 (cbrt.f64 m) K) (.f64 K n))
(*.f64 K (+.f64 n m))
(fma.f64 (pow.f64 (cbrt.f64 K) 2) (.f64 (cbrt.f64 K) m) (.f64 K n))
(*.f64 K (+.f64 n m))
(fma.f64 (pow.f64 (cbrt.f64 K) 2) (.f64 (cbrt.f64 K) n) (.f64 K m))
(*.f64 K (+.f64 n m))
(fma.f64 (pow.f64 (cbrt.f64 n) 2) (.f64 (cbrt.f64 n) K) (.f64 K m))
(*.f64 K (+.f64 n m))
(fma.f64 (sqrt.f64 m) (.f64 (sqrt.f64 m) K) (.f64 K n))
(*.f64 K (+.f64 n m))
(fma.f64 (sqrt.f64 K) (.f64 (sqrt.f64 K) m) (.f64 K n))
(*.f64 K (+.f64 n m))
(fma.f64 (sqrt.f64 K) (.f64 (sqrt.f64 K) n) (.f64 K m))
(*.f64 K (+.f64 n m))
(fma.f64 (sqrt.f64 n) (.f64 (sqrt.f64 n) K) (.f64 K m))
(*.f64 K (+.f64 n m))
(fma.f64 (.f64 K m) 1 (.f64 (*.f64 K n) 1))
(*.f64 K (+.f64 n m))
(fma.f64 (.f64 (cbrt.f64 (.f64 K n)) (cbrt.f64 (.f64 K n))) (cbrt.f64 (.f64 K n)) (*.f64 K m))
(*.f64 K (+.f64 n m))
(fma.f64 (.f64 (cbrt.f64 (.f64 K m)) (cbrt.f64 (.f64 K m))) (cbrt.f64 (.f64 K m)) (*.f64 K n))
(*.f64 K (+.f64 n m))
(fma.f64 (sqrt.f64 (.f64 K n)) (sqrt.f64 (.f64 K n)) (*.f64 K m))
(*.f64 K (+.f64 n m))
(fma.f64 (sqrt.f64 (.f64 K m)) (sqrt.f64 (.f64 K m)) (*.f64 K n))
(*.f64 K (+.f64 n m))
(fma.f64 (.f64 (sqrt.f64 m) (sqrt.f64 K)) (.f64 (sqrt.f64 m) (sqrt.f64 K)) (*.f64 K n))
(*.f64 K (+.f64 n m))
(fma.f64 (.f64 (sqrt.f64 n) (sqrt.f64 K)) (.f64 (sqrt.f64 n) (sqrt.f64 K)) (*.f64 K m))
(*.f64 K (+.f64 n m))
(fma.f64 (.f64 (sqrt.f64 K) (sqrt.f64 m)) (.f64 (sqrt.f64 K) (sqrt.f64 m)) (*.f64 K n))
(*.f64 K (+.f64 n m))
(fma.f64 (.f64 (sqrt.f64 K) (sqrt.f64 n)) (.f64 (sqrt.f64 K) (sqrt.f64 n)) (*.f64 K m))
(*.f64 K (+.f64 n m))
(fma.f64 (.f64 m (pow.f64 (cbrt.f64 K) 2)) (cbrt.f64 K) (.f64 K n))
(*.f64 K (+.f64 n m))
(fma.f64 (.f64 m (sqrt.f64 K)) (sqrt.f64 K) (.f64 K n))
(*.f64 K (+.f64 n m))
(fma.f64 (.f64 n (pow.f64 (cbrt.f64 K) 2)) (cbrt.f64 K) (.f64 K m))
(*.f64 K (+.f64 n m))
(fma.f64 (.f64 n (sqrt.f64 K)) (sqrt.f64 K) (.f64 K m))
(*.f64 K (+.f64 n m))
(fma.f64 (.f64 K (pow.f64 (cbrt.f64 m) 2)) (cbrt.f64 m) (.f64 K n))
(*.f64 K (+.f64 n m))
(fma.f64 (.f64 K (sqrt.f64 m)) (sqrt.f64 m) (.f64 K n))
(*.f64 K (+.f64 n m))
(fma.f64 (.f64 K (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n) (.f64 K m))
(*.f64 K (+.f64 n m))
(fma.f64 (.f64 K (sqrt.f64 n)) (sqrt.f64 n) (.f64 K m))
(*.f64 K (+.f64 n m))

eval1.1s (4%)

Compiler: Compiled 52696 to 25903 computations (50.8% saved)

prune809.0ms (2.9%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	1212	23	1235
Fresh	10	0	10
Picked	1	0	1
Done	4	0	4
Total	1227	23	1250

Accurracy

92.2%

Counts

1250 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.4%	(/.f64 (fma.f64 (cos.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 (.f64 K 1/2) (+.f64 n m)) M)))) (cos.f64 1) (.f64 (sin.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 (.f64 K 1/2) (+.f64 n m)) M)))) (sin.f64 1))) (exp.f64 (+.f64 (.f64 M M) (-.f64 l (fabs.f64 (-.f64 n m))))))
	44.9%	(/.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M)))) 3) (exp.f64 (+.f64 (.f64 M M) (-.f64 l (fabs.f64 (-.f64 n m))))))
	80.9%	(/.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))) 3) (exp.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m))))))
	72.9%	(/.f64 (+.f64 (.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) 1)) (cos.f64 (+.f64 1 M))) (.f64 (sin.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) 1)) (sin.f64 (+.f64 1 M)))) (exp.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m))))))
	44.8%	(/.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m)))) (exp.f64 (+.f64 (.f64 M M) (-.f64 l (fabs.f64 (-.f64 n m))))))
	80.7%	(/.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M)))))) (exp.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m))))))
	44.9%	(/.f64 (expm1.f64 (log1p.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M))))) (exp.f64 (+.f64 (.f64 M M) (-.f64 l (fabs.f64 (-.f64 n m))))))
	22.4%	(/.f64 (cos.f64 (-.f64 (pow.f64 (sqrt.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) 2) M)) (exp.f64 (+.f64 (*.f64 M M) (-.f64 l (fabs.f64 (-.f64 n m))))))
	72.9%	(/.f64 (cos.f64 (-.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) 1/2)) 2) (.f64 (cbrt.f64 (.f64 (+.f64 m n) 1/2)) K)) M)) (exp.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m))))))
	19.3%	(/.f64 (cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 m n) 2)) M)) (exp.f64 (+.f64 l (-.f64 m n))))
	41.9%	(/.f64 (cos.f64 (-.f64 (.f64 K (/.f64 (+.f64 m n) 2)) M)) (exp.f64 (.f64 M M)))
	72.5%	(/.f64 (cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 m n) 2)) M)) (exp.f64 (sqrt.f64 (pow.f64 (-.f64 (fma.f64 M M l) (-.f64 n m)) 2))))
▶	27.8%	(/.f64 (cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 m n) 2)) M)) (exp.f64 l))
	44.4%	(/.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (exp.f64 (+.f64 (.f64 (.f64 n n) 1/4) (-.f64 l (fabs.f64 (-.f64 n m))))))
	45.8%	(/.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (exp.f64 (+.f64 (*.f64 M M) (-.f64 l (fabs.f64 (-.f64 n m))))))
	25.6%	(/.f64 (cos.f64 (-.f64 (expm1.f64 (+.f64 (log.f64 (*.f64 K 1/2)) (log.f64 n))) M)) (exp.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m))))))
▶	32.8%	(/.f64 (cos.f64 (-.f64 (expm1.f64 (log1p.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))) M)) (exp.f64 (+.f64 (*.f64 M M) (-.f64 l (fabs.f64 (-.f64 n m))))))
	49.0%	(/.f64 (cos.f64 (-.f64 (expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (.f64 1/2 (.f64 K (+.f64 m n))))))) M)) (exp.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m))))))
▶	45.1%	(/.f64 (cos.f64 (-.f64 (exp.f64 (.f64 (.f64 (log.f64 (.f64 K (.f64 n 1/2))) 3) 1/3)) M)) (exp.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m))))))
▶	54.3%	(/.f64 (cos.f64 M) (exp.f64 (+.f64 (.f64 (.f64 n n) 1/4) (-.f64 l (fabs.f64 (-.f64 n m))))))
	56.0%	(/.f64 (cos.f64 M) (exp.f64 (+.f64 (.f64 (.f64 m m) 1/4) (-.f64 l (fabs.f64 (-.f64 n m))))))
	49.1%	(/.f64 (cos.f64 M) (exp.f64 (+.f64 (*.f64 M M) (-.f64 l (fabs.f64 (-.f64 n m))))))
▶	91.6%	(/.f64 (cos.f64 M) (exp.f64 (+.f64 (log1p.f64 (expm1.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2))) (-.f64 l (fabs.f64 (-.f64 n m))))))

Compiler

Compiled 1412 to 994 computations (29.6% saved)

localize1.6s (5.7%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)

Compiler

Compiled 131 to 63 computations (51.9% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	m	@	0	(pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)
0.0ms	n	@	-inf	(pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)
0.0ms	m	@	-inf	(pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)
0.0ms	m	@	inf	(pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)
0.0ms	n	@	0	(pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)

rewrite103.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1070×	`log-prod`
878×	`fma-def`
718×	`pow-prod-down`
530×	`pow-exp`
524×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	246	25
2	3229	25

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs
(+.f64 0 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2))
(+.f64 (.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) (.f64 (+.f64 m n) 1/2)) (.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) (neg.f64 M)))
(+.f64 (.f64 (.f64 (+.f64 m n) 1/2) (-.f64 (.f64 (+.f64 m n) 1/2) M)) (.f64 (neg.f64 M) (-.f64 (*.f64 (+.f64 m n) 1/2) M)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2))) 1)
(.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) (-.f64 (*.f64 (+.f64 m n) 1/2) M))
(.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) 1)
(.f64 1 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M)) 2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M)) 4))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M)) 4) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M)) 2))
(.f64 (sqrt.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M)) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 3/2))
(.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 3/2) (sqrt.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M)))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M)) 5) (cbrt.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M)))
(/.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (+.f64 m n) 1/2) 3) (pow.f64 M 3)) 2) (pow.f64 (fma.f64 M (fma.f64 (+.f64 m n) 1/2 M) (.f64 (pow.f64 (+.f64 m n) 2) 1/4)) 2))
(/.f64 (pow.f64 (fma.f64 (pow.f64 (+.f64 m n) 2) 1/4 (neg.f64 (*.f64 M M))) 2) (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 2))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (+.f64 m n) 1/2) 3) (pow.f64 M 3)) (fma.f64 (pow.f64 (+.f64 m n) 2) 1/4 (neg.f64 (.f64 M M)))) (.f64 (fma.f64 M (fma.f64 (+.f64 m n) 1/2 M) (*.f64 (pow.f64 (+.f64 m n) 2) 1/4)) (fma.f64 (+.f64 m n) 1/2 M)))
(/.f64 (.f64 (fma.f64 (pow.f64 (+.f64 m n) 2) 1/4 (neg.f64 (.f64 M M))) (-.f64 (pow.f64 (.f64 (+.f64 m n) 1/2) 3) (pow.f64 M 3))) (.f64 (fma.f64 (+.f64 m n) 1/2 M) (fma.f64 M (fma.f64 (+.f64 m n) 1/2 M) (*.f64 (pow.f64 (+.f64 m n) 2) 1/4))))
(/.f64 (.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) (-.f64 (pow.f64 (.f64 (+.f64 m n) 1/2) 3) (pow.f64 M 3))) (fma.f64 M (fma.f64 (+.f64 m n) 1/2 M) (.f64 (pow.f64 (+.f64 m n) 2) 1/4)))
(/.f64 (.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) (fma.f64 (pow.f64 (+.f64 m n) 2) 1/4 (neg.f64 (*.f64 M M)))) (fma.f64 (+.f64 m n) 1/2 M))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (+.f64 m n) 1/2) 3) (pow.f64 M 3)) (-.f64 (.f64 (+.f64 m n) 1/2) M)) (fma.f64 M (fma.f64 (+.f64 m n) 1/2 M) (.f64 (pow.f64 (+.f64 m n) 2) 1/4)))
(/.f64 (.f64 (fma.f64 (pow.f64 (+.f64 m n) 2) 1/4 (neg.f64 (.f64 M M))) (-.f64 (*.f64 (+.f64 m n) 1/2) M)) (fma.f64 (+.f64 m n) 1/2 M))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 4))
(log.f64 (exp.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 6))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)))
(exp.f64 (.f64 2 (log.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M))))
(exp.f64 (.f64 (.f64 2 (log.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M)) 1) 2))
(exp.f64 (.f64 (.f64 (.f64 2 (log.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M))) 1) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M)) 2)) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 6)) 1/3))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)))
(fma.f64 (.f64 (+.f64 m n) 1/2) (-.f64 (.f64 (+.f64 m n) 1/2) M) (.f64 (neg.f64 M) (-.f64 (.f64 (+.f64 m n) 1/2) M)))
(fma.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) (.f64 (+.f64 m n) 1/2) (.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) (neg.f64 M)))

simplify88.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

834×	`associate-r`
794×	`associate-l`
658×	`fma-def`
568×	`distribute-lft-in`
560×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	144	2926
1	342	2818
2	919	2724
3	4908	2724

Stop Event

1×	node limit

Counts

72 → 112

Calls

Call 1

Inputs
(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 0 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2))
(+.f64 (.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) (.f64 (+.f64 m n) 1/2)) (.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) (neg.f64 M)))
(+.f64 (.f64 (.f64 (+.f64 m n) 1/2) (-.f64 (.f64 (+.f64 m n) 1/2) M)) (.f64 (neg.f64 M) (-.f64 (*.f64 (+.f64 m n) 1/2) M)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2))) 1)
(.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) (-.f64 (*.f64 (+.f64 m n) 1/2) M))
(.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) 1)
(.f64 1 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M)) 2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M)) 4))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M)) 4) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M)) 2))
(.f64 (sqrt.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M)) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 3/2))
(.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 3/2) (sqrt.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M)))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M)) 5) (cbrt.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M)))
(/.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (+.f64 m n) 1/2) 3) (pow.f64 M 3)) 2) (pow.f64 (fma.f64 M (fma.f64 (+.f64 m n) 1/2 M) (.f64 (pow.f64 (+.f64 m n) 2) 1/4)) 2))
(/.f64 (pow.f64 (fma.f64 (pow.f64 (+.f64 m n) 2) 1/4 (neg.f64 (*.f64 M M))) 2) (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 2))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (+.f64 m n) 1/2) 3) (pow.f64 M 3)) (fma.f64 (pow.f64 (+.f64 m n) 2) 1/4 (neg.f64 (.f64 M M)))) (.f64 (fma.f64 M (fma.f64 (+.f64 m n) 1/2 M) (*.f64 (pow.f64 (+.f64 m n) 2) 1/4)) (fma.f64 (+.f64 m n) 1/2 M)))
(/.f64 (.f64 (fma.f64 (pow.f64 (+.f64 m n) 2) 1/4 (neg.f64 (.f64 M M))) (-.f64 (pow.f64 (.f64 (+.f64 m n) 1/2) 3) (pow.f64 M 3))) (.f64 (fma.f64 (+.f64 m n) 1/2 M) (fma.f64 M (fma.f64 (+.f64 m n) 1/2 M) (*.f64 (pow.f64 (+.f64 m n) 2) 1/4))))
(/.f64 (.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) (-.f64 (pow.f64 (.f64 (+.f64 m n) 1/2) 3) (pow.f64 M 3))) (fma.f64 M (fma.f64 (+.f64 m n) 1/2 M) (.f64 (pow.f64 (+.f64 m n) 2) 1/4)))
(/.f64 (.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) (fma.f64 (pow.f64 (+.f64 m n) 2) 1/4 (neg.f64 (*.f64 M M)))) (fma.f64 (+.f64 m n) 1/2 M))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (+.f64 m n) 1/2) 3) (pow.f64 M 3)) (-.f64 (.f64 (+.f64 m n) 1/2) M)) (fma.f64 M (fma.f64 (+.f64 m n) 1/2 M) (.f64 (pow.f64 (+.f64 m n) 2) 1/4)))
(/.f64 (.f64 (fma.f64 (pow.f64 (+.f64 m n) 2) 1/4 (neg.f64 (.f64 M M))) (-.f64 (*.f64 (+.f64 m n) 1/2) M)) (fma.f64 (+.f64 m n) 1/2 M))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 4))
(log.f64 (exp.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 6))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)))
(exp.f64 (.f64 2 (log.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M))))
(exp.f64 (.f64 (.f64 2 (log.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M)) 1) 2))
(exp.f64 (.f64 (.f64 (.f64 2 (log.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M))) 1) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M)) 2)) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 6)) 1/3))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)))
(fma.f64 (.f64 (+.f64 m n) 1/2) (-.f64 (.f64 (+.f64 m n) 1/2) M) (.f64 (neg.f64 M) (-.f64 (.f64 (+.f64 m n) 1/2) M)))
(fma.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) (.f64 (+.f64 m n) 1/2) (.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) (neg.f64 M)))

Outputs
(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))
(fma.f64 (-.f64 (.f64 1/2 n) M) m (pow.f64 (-.f64 (.f64 1/2 n) M) 2))
(.f64 (-.f64 (.f64 1/2 n) M) (+.f64 (-.f64 (*.f64 1/2 n) M) m))
(.f64 (-.f64 (.f64 1/2 n) M) (-.f64 (*.f64 1/2 n) (-.f64 M m)))
(.f64 (-.f64 (.f64 1/2 n) M) (+.f64 (-.f64 m M) (*.f64 1/2 n)))
(+.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 (-.f64 (.f64 1/2 n) M) m (pow.f64 (-.f64 (.f64 1/2 n) M) 2)) (.f64 1/4 (.f64 m m)))
(fma.f64 (-.f64 (.f64 1/2 n) M) m (fma.f64 1/4 (.f64 m m) (pow.f64 (-.f64 (*.f64 1/2 n) M) 2)))
(fma.f64 (-.f64 (.f64 1/2 n) M) (-.f64 (.f64 1/2 n) (-.f64 M m)) (.f64 1/4 (.f64 m m)))
(fma.f64 (-.f64 (.f64 1/2 n) M) (+.f64 (-.f64 m M) (.f64 1/2 n)) (.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 (-.f64 (.f64 1/2 n) M) m (pow.f64 (-.f64 (.f64 1/2 n) M) 2)) (.f64 1/4 (.f64 m m)))
(fma.f64 (-.f64 (.f64 1/2 n) M) m (fma.f64 1/4 (.f64 m m) (pow.f64 (-.f64 (*.f64 1/2 n) M) 2)))
(fma.f64 (-.f64 (.f64 1/2 n) M) (-.f64 (.f64 1/2 n) (-.f64 M m)) (.f64 1/4 (.f64 m m)))
(fma.f64 (-.f64 (.f64 1/2 n) M) (+.f64 (-.f64 m M) (.f64 1/2 n)) (.f64 m (.f64 m 1/4)))
(*.f64 1/4 (pow.f64 m 2))
(.f64 1/4 (.f64 m m))
(.f64 m (.f64 m 1/4))
(+.f64 (.f64 (-.f64 (.f64 1/2 n) M) m) (*.f64 1/4 (pow.f64 m 2)))
(fma.f64 (-.f64 (.f64 1/2 n) M) m (.f64 1/4 (*.f64 m m)))
(fma.f64 (-.f64 (.f64 1/2 n) M) m (.f64 m (*.f64 m 1/4)))
(.f64 m (+.f64 (-.f64 (.f64 1/2 n) 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 (-.f64 (.f64 1/2 n) M) m (pow.f64 (-.f64 (.f64 1/2 n) M) 2)) (.f64 1/4 (.f64 m m)))
(fma.f64 (-.f64 (.f64 1/2 n) M) m (fma.f64 1/4 (.f64 m m) (pow.f64 (-.f64 (*.f64 1/2 n) M) 2)))
(fma.f64 (-.f64 (.f64 1/2 n) M) (-.f64 (.f64 1/2 n) (-.f64 M m)) (.f64 1/4 (.f64 m m)))
(fma.f64 (-.f64 (.f64 1/2 n) M) (+.f64 (-.f64 m M) (.f64 1/2 n)) (.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 (-.f64 (.f64 1/2 n) M) m (pow.f64 (-.f64 (.f64 1/2 n) M) 2)) (.f64 1/4 (.f64 m m)))
(fma.f64 (-.f64 (.f64 1/2 n) M) m (fma.f64 1/4 (.f64 m m) (pow.f64 (-.f64 (*.f64 1/2 n) M) 2)))
(fma.f64 (-.f64 (.f64 1/2 n) M) (-.f64 (.f64 1/2 n) (-.f64 M m)) (.f64 1/4 (.f64 m m)))
(fma.f64 (-.f64 (.f64 1/2 n) M) (+.f64 (-.f64 m M) (.f64 1/2 n)) (.f64 m (.f64 m 1/4)))
(*.f64 1/4 (pow.f64 m 2))
(.f64 1/4 (.f64 m m))
(.f64 m (.f64 m 1/4))
(+.f64 (.f64 (-.f64 (.f64 1/2 n) M) m) (*.f64 1/4 (pow.f64 m 2)))
(fma.f64 (-.f64 (.f64 1/2 n) M) m (.f64 1/4 (*.f64 m m)))
(fma.f64 (-.f64 (.f64 1/2 n) M) m (.f64 m (*.f64 m 1/4)))
(.f64 m (+.f64 (-.f64 (.f64 1/2 n) 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 (-.f64 (.f64 1/2 n) M) m (pow.f64 (-.f64 (.f64 1/2 n) M) 2)) (.f64 1/4 (.f64 m m)))
(fma.f64 (-.f64 (.f64 1/2 n) M) m (fma.f64 1/4 (.f64 m m) (pow.f64 (-.f64 (*.f64 1/2 n) M) 2)))
(fma.f64 (-.f64 (.f64 1/2 n) M) (-.f64 (.f64 1/2 n) (-.f64 M m)) (.f64 1/4 (.f64 m m)))
(fma.f64 (-.f64 (.f64 1/2 n) M) (+.f64 (-.f64 m M) (.f64 1/2 n)) (.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 (-.f64 (.f64 1/2 n) M) m (pow.f64 (-.f64 (.f64 1/2 n) M) 2)) (.f64 1/4 (.f64 m m)))
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(.f64 (fma.f64 1/4 (pow.f64 (+.f64 n m) 2) (.f64 M (neg.f64 M))) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 n m) 3) 1/8) (pow.f64 M 3)) (.f64 (fma.f64 1/2 (+.f64 n m) M) (fma.f64 M (fma.f64 1/2 (+.f64 n m) M) (*.f64 1/4 (pow.f64 (+.f64 n m) 2))))))
(.f64 (-.f64 (.f64 1/4 (pow.f64 (+.f64 n m) 2)) (.f64 M M)) (/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 n m) 3) 1/8) (pow.f64 M 3)) (fma.f64 1/2 (+.f64 n m) M)) (fma.f64 M (fma.f64 1/2 (+.f64 n m) M) (*.f64 1/4 (pow.f64 (+.f64 n m) 2)))))
(/.f64 (.f64 (fma.f64 (pow.f64 (+.f64 m n) 2) 1/4 (neg.f64 (.f64 M M))) (-.f64 (pow.f64 (.f64 (+.f64 m n) 1/2) 3) (pow.f64 M 3))) (.f64 (fma.f64 (+.f64 m n) 1/2 M) (fma.f64 M (fma.f64 (+.f64 m n) 1/2 M) (*.f64 (pow.f64 (+.f64 m n) 2) 1/4))))
(.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 n m) 2) 1/4 (.f64 M (neg.f64 M))) (fma.f64 (+.f64 n m) 1/2 M)) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 n m) 3) 1/8) (pow.f64 M 3)) (fma.f64 M (fma.f64 (+.f64 n m) 1/2 M) (.f64 1/4 (pow.f64 (+.f64 n m) 2)))))
(.f64 (/.f64 (fma.f64 1/4 (pow.f64 (+.f64 n m) 2) (.f64 M (neg.f64 M))) (fma.f64 1/2 (+.f64 n m) M)) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 n m) 3) 1/8) (pow.f64 M 3)) (fma.f64 M (fma.f64 1/2 (+.f64 n m) M) (.f64 1/4 (pow.f64 (+.f64 n m) 2)))))
(.f64 (fma.f64 1/4 (pow.f64 (+.f64 n m) 2) (.f64 M (neg.f64 M))) (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 n m) 3) 1/8) (pow.f64 M 3)) (.f64 (fma.f64 1/2 (+.f64 n m) M) (fma.f64 M (fma.f64 1/2 (+.f64 n m) M) (*.f64 1/4 (pow.f64 (+.f64 n m) 2))))))
(.f64 (-.f64 (.f64 1/4 (pow.f64 (+.f64 n m) 2)) (.f64 M M)) (/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (+.f64 n m) 3) 1/8) (pow.f64 M 3)) (fma.f64 1/2 (+.f64 n m) M)) (fma.f64 M (fma.f64 1/2 (+.f64 n m) M) (*.f64 1/4 (pow.f64 (+.f64 n m) 2)))))
(/.f64 (.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) (-.f64 (pow.f64 (.f64 (+.f64 m n) 1/2) 3) (pow.f64 M 3))) (fma.f64 M (fma.f64 (+.f64 m n) 1/2 M) (.f64 (pow.f64 (+.f64 m n) 2) 1/4)))
(/.f64 (fma.f64 (+.f64 n m) 1/2 (neg.f64 M)) (/.f64 (fma.f64 M (fma.f64 (+.f64 n m) 1/2 M) (.f64 1/4 (pow.f64 (+.f64 n m) 2))) (-.f64 (.f64 (pow.f64 (+.f64 n m) 3) 1/8) (pow.f64 M 3))))
(.f64 (/.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) (fma.f64 M (fma.f64 1/2 (+.f64 n m) M) (.f64 1/4 (pow.f64 (+.f64 n m) 2)))) (-.f64 (.f64 (pow.f64 (+.f64 n m) 3) 1/8) (pow.f64 M 3)))
(.f64 (-.f64 (.f64 (pow.f64 (+.f64 n m) 3) 1/8) (pow.f64 M 3)) (/.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) (fma.f64 M (fma.f64 1/2 (+.f64 n m) M) (.f64 1/4 (pow.f64 (+.f64 n m) 2)))))
(.f64 (-.f64 (.f64 (pow.f64 (+.f64 n m) 3) 1/8) (pow.f64 M 3)) (/.f64 (fma.f64 1/2 (+.f64 n m) (neg.f64 M)) (fma.f64 M (fma.f64 1/2 (+.f64 n m) M) (*.f64 1/4 (pow.f64 (+.f64 n m) 2)))))
(/.f64 (.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) (fma.f64 (pow.f64 (+.f64 m n) 2) 1/4 (neg.f64 (*.f64 M M)))) (fma.f64 (+.f64 m n) 1/2 M))
(/.f64 (fma.f64 (pow.f64 (+.f64 n m) 2) 1/4 (*.f64 M (neg.f64 M))) (/.f64 (fma.f64 (+.f64 n m) 1/2 M) (fma.f64 (+.f64 n m) 1/2 (neg.f64 M))))
(.f64 (/.f64 (fma.f64 1/4 (pow.f64 (+.f64 n m) 2) (.f64 M (neg.f64 M))) (fma.f64 1/2 (+.f64 n m) M)) (-.f64 (*.f64 1/2 (+.f64 n m)) M))
(.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) (/.f64 (fma.f64 1/4 (pow.f64 (+.f64 n m) 2) (*.f64 M (neg.f64 M))) (fma.f64 1/2 (+.f64 n m) M)))
(.f64 (-.f64 (.f64 1/4 (pow.f64 (+.f64 n m) 2)) (*.f64 M M)) (/.f64 (fma.f64 1/2 (+.f64 n m) (neg.f64 M)) (fma.f64 1/2 (+.f64 n m) M)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (+.f64 m n) 1/2) 3) (pow.f64 M 3)) (-.f64 (.f64 (+.f64 m n) 1/2) M)) (fma.f64 M (fma.f64 (+.f64 m n) 1/2 M) (.f64 (pow.f64 (+.f64 m n) 2) 1/4)))
(/.f64 (fma.f64 (+.f64 n m) 1/2 (neg.f64 M)) (/.f64 (fma.f64 M (fma.f64 (+.f64 n m) 1/2 M) (.f64 1/4 (pow.f64 (+.f64 n m) 2))) (-.f64 (.f64 (pow.f64 (+.f64 n m) 3) 1/8) (pow.f64 M 3))))
(.f64 (/.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) (fma.f64 M (fma.f64 1/2 (+.f64 n m) M) (.f64 1/4 (pow.f64 (+.f64 n m) 2)))) (-.f64 (.f64 (pow.f64 (+.f64 n m) 3) 1/8) (pow.f64 M 3)))
(.f64 (-.f64 (.f64 (pow.f64 (+.f64 n m) 3) 1/8) (pow.f64 M 3)) (/.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) (fma.f64 M (fma.f64 1/2 (+.f64 n m) M) (.f64 1/4 (pow.f64 (+.f64 n m) 2)))))
(.f64 (-.f64 (.f64 (pow.f64 (+.f64 n m) 3) 1/8) (pow.f64 M 3)) (/.f64 (fma.f64 1/2 (+.f64 n m) (neg.f64 M)) (fma.f64 M (fma.f64 1/2 (+.f64 n m) M) (*.f64 1/4 (pow.f64 (+.f64 n m) 2)))))
(/.f64 (.f64 (fma.f64 (pow.f64 (+.f64 m n) 2) 1/4 (neg.f64 (.f64 M M))) (-.f64 (*.f64 (+.f64 m n) 1/2) M)) (fma.f64 (+.f64 m n) 1/2 M))
(/.f64 (fma.f64 (pow.f64 (+.f64 n m) 2) 1/4 (*.f64 M (neg.f64 M))) (/.f64 (fma.f64 (+.f64 n m) 1/2 M) (fma.f64 (+.f64 n m) 1/2 (neg.f64 M))))
(.f64 (/.f64 (fma.f64 1/4 (pow.f64 (+.f64 n m) 2) (.f64 M (neg.f64 M))) (fma.f64 1/2 (+.f64 n m) M)) (-.f64 (*.f64 1/2 (+.f64 n m)) M))
(.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) (/.f64 (fma.f64 1/4 (pow.f64 (+.f64 n m) 2) (*.f64 M (neg.f64 M))) (fma.f64 1/2 (+.f64 n m) M)))
(.f64 (-.f64 (.f64 1/4 (pow.f64 (+.f64 n m) 2)) (*.f64 M M)) (/.f64 (fma.f64 1/2 (+.f64 n m) (neg.f64 M)) (fma.f64 1/2 (+.f64 n m) M)))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 4))
(pow.f64 (fma.f64 (+.f64 n m) 1/2 (neg.f64 M)) 2)
(pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)
(pow.f64 (fma.f64 1/2 (+.f64 n m) (neg.f64 M)) 2)
(log.f64 (exp.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)))
(pow.f64 (fma.f64 (+.f64 n m) 1/2 (neg.f64 M)) 2)
(pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)
(pow.f64 (fma.f64 1/2 (+.f64 n m) (neg.f64 M)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2))))
(pow.f64 (fma.f64 (+.f64 n m) 1/2 (neg.f64 M)) 2)
(pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)
(pow.f64 (fma.f64 1/2 (+.f64 n m) (neg.f64 M)) 2)
(cbrt.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 6))
(pow.f64 (fma.f64 (+.f64 n m) 1/2 (neg.f64 M)) 2)
(pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)
(pow.f64 (fma.f64 1/2 (+.f64 n m) (neg.f64 M)) 2)
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)))
(pow.f64 (fma.f64 (+.f64 n m) 1/2 (neg.f64 M)) 2)
(pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)
(pow.f64 (fma.f64 1/2 (+.f64 n m) (neg.f64 M)) 2)
(exp.f64 (.f64 2 (log.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M))))
(pow.f64 (fma.f64 (+.f64 n m) 1/2 (neg.f64 M)) 2)
(pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)
(pow.f64 (fma.f64 1/2 (+.f64 n m) (neg.f64 M)) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M))) 1))
(pow.f64 (fma.f64 (+.f64 n m) 1/2 (neg.f64 M)) 2)
(pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)
(pow.f64 (fma.f64 1/2 (+.f64 n m) (neg.f64 M)) 2)
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M)) 1) 2))
(pow.f64 (fma.f64 (+.f64 n m) 1/2 (neg.f64 M)) 2)
(pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)
(pow.f64 (fma.f64 1/2 (+.f64 n m) (neg.f64 M)) 2)
(exp.f64 (.f64 (.f64 (.f64 2 (log.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M))) 1) 1))
(pow.f64 (fma.f64 (+.f64 n m) 1/2 (neg.f64 M)) 2)
(pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)
(pow.f64 (fma.f64 1/2 (+.f64 n m) (neg.f64 M)) 2)
(exp.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M)) 2)) 3))
(pow.f64 (fma.f64 (+.f64 n m) 1/2 (neg.f64 M)) 2)
(pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)
(pow.f64 (fma.f64 1/2 (+.f64 n m) (neg.f64 M)) 2)
(exp.f64 (.f64 (log.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 6)) 1/3))
(pow.f64 (fma.f64 (+.f64 n m) 1/2 (neg.f64 M)) 2)
(pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)
(pow.f64 (fma.f64 1/2 (+.f64 n m) (neg.f64 M)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)))
(pow.f64 (fma.f64 (+.f64 n m) 1/2 (neg.f64 M)) 2)
(pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)
(pow.f64 (fma.f64 1/2 (+.f64 n m) (neg.f64 M)) 2)
(fma.f64 (.f64 (+.f64 m n) 1/2) (-.f64 (.f64 (+.f64 m n) 1/2) M) (.f64 (neg.f64 M) (-.f64 (.f64 (+.f64 m n) 1/2) M)))
(pow.f64 (fma.f64 (+.f64 n m) 1/2 (neg.f64 M)) 2)
(pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)
(pow.f64 (fma.f64 1/2 (+.f64 n m) (neg.f64 M)) 2)
(fma.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) (.f64 (+.f64 m n) 1/2) (.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) (neg.f64 M)))
(pow.f64 (fma.f64 (+.f64 n m) 1/2 (neg.f64 M)) 2)
(pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)
(pow.f64 (fma.f64 1/2 (+.f64 n m) (neg.f64 M)) 2)

localize1.0s (3.7%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(-.f64 (*.f64 K (/.f64 (+.f64 m n) 2)) M)
✓	100.0%	(/.f64 (cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 m n) 2)) M)) (exp.f64 l))
	100.0%	(*.f64 K (/.f64 (+.f64 m n) 2))
	51.7%	(cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 m n) 2)) M))

Compiler

Compiled 61 to 29 computations (52.5% saved)

series9.0ms (0%)

Counts

1 → 60

Calls

15 calls:

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

rewrite81.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1778×	`log-prod`
1000×	`fma-def`
678×	`expm1-udef`
676×	`log1p-udef`
406×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	39
1	357	39
2	4964	39

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

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

simplify333.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1594×	`fma-def`
872×	`associate-/l*`
624×	`distribute-lft-in`
602×	`distribute-rgt-in`
588×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	251	5486
1	702	5368
2	2177	5168

Stop Event

1×	node limit

Counts

96 → 130

Calls

Call 1

Inputs
(/.f64 (cos.f64 (neg.f64 M)) (exp.f64 l))
(+.f64 (/.f64 (cos.f64 (neg.f64 M)) (exp.f64 l)) (.f64 -1/2 (/.f64 (.f64 K (*.f64 (sin.f64 (neg.f64 M)) (+.f64 n m))) (exp.f64 l))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2))) (exp.f64 l))) (+.f64 (/.f64 (cos.f64 (neg.f64 M)) (exp.f64 l)) (.f64 -1/2 (/.f64 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (+.f64 n m))) (exp.f64 l)))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2))) (exp.f64 l))) (+.f64 (.f64 1/48 (/.f64 (.f64 (pow.f64 K 3) (.f64 (sin.f64 (neg.f64 M)) (pow.f64 (+.f64 n m) 3))) (exp.f64 l))) (+.f64 (/.f64 (cos.f64 (neg.f64 M)) (exp.f64 l)) (.f64 -1/2 (/.f64 (.f64 K (*.f64 (sin.f64 (neg.f64 M)) (+.f64 n m))) (exp.f64 l))))))
(/.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)) (exp.f64 l))
(/.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)) (exp.f64 l))
(/.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)) (exp.f64 l))
(/.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)) (exp.f64 l))
(/.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)) (exp.f64 l))
(/.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)) (exp.f64 l))
(/.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)) (exp.f64 l))
(/.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)) (exp.f64 l))
(/.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (exp.f64 l))
(+.f64 (/.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (exp.f64 l)) (.f64 -1/2 (/.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (*.f64 K m)) (exp.f64 l))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 K 2) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (pow.f64 m 2))) (exp.f64 l))) (+.f64 (/.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (exp.f64 l)) (.f64 -1/2 (/.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m)) (exp.f64 l)))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 K 2) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (pow.f64 m 2))) (exp.f64 l))) (+.f64 (/.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (exp.f64 l)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m)) (exp.f64 l))) (.f64 1/48 (/.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (*.f64 (pow.f64 K 3) (pow.f64 m 3))) (exp.f64 l))))))
(/.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)) (exp.f64 l))
(/.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)) (exp.f64 l))
(/.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)) (exp.f64 l))
(/.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)) (exp.f64 l))
(/.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))) M)) (exp.f64 l))
(/.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))) M)) (exp.f64 l))
(/.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))) M)) (exp.f64 l))
(/.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))) M)) (exp.f64 l))
(/.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (exp.f64 l))
(+.f64 (.f64 -1/2 (/.f64 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))) (exp.f64 l))) (/.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)) (exp.f64 l)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))) (exp.f64 l))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 (pow.f64 n 2) (pow.f64 K 2))) (exp.f64 l))) (/.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (exp.f64 l))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))) (exp.f64 l))) (+.f64 (.f64 1/48 (/.f64 (.f64 (pow.f64 n 3) (.f64 (pow.f64 K 3) (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))) (exp.f64 l))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 (pow.f64 n 2) (pow.f64 K 2))) (exp.f64 l))) (/.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)) (exp.f64 l)))))
(/.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)) (exp.f64 l))
(/.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)) (exp.f64 l))
(/.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)) (exp.f64 l))
(/.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)) (exp.f64 l))
(/.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) M)) (exp.f64 l))
(/.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) M)) (exp.f64 l))
(/.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) M)) (exp.f64 l))
(/.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) M)) (exp.f64 l))
(/.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (exp.f64 l))
(+.f64 (/.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M) (exp.f64 l)) (/.f64 (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))) (exp.f64 l)))
(+.f64 (/.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M) (exp.f64 l)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (pow.f64 M 2)) (exp.f64 l))) (/.f64 (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))) (exp.f64 l))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (pow.f64 M 3)) (exp.f64 l))) (+.f64 (/.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M) (exp.f64 l)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (pow.f64 M 2)) (exp.f64 l))) (/.f64 (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))) (exp.f64 l)))))
(/.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)) (exp.f64 l))
(/.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)) (exp.f64 l))
(/.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)) (exp.f64 l))
(/.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)) (exp.f64 l))
(/.f64 (cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))) (exp.f64 l))
(/.f64 (cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))) (exp.f64 l))
(/.f64 (cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))) (exp.f64 l))
(/.f64 (cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))) (exp.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)) (.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 (.f64 (pow.f64 l 2) (+.f64 (.f64 -1 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))) (.f64 1/2 (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 (.f64 (pow.f64 l 2) (+.f64 (.f64 -1 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))) (.f64 1/2 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (+.f64 (.f64 -1 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))) (.f64 1/2 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))))) (+.f64 (.f64 1/6 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))) (.f64 -1/2 (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)) (exp.f64 l))
(/.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)) (exp.f64 l))
(/.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)) (exp.f64 l))
(/.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)) (exp.f64 l))
(/.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)) (exp.f64 l))
(/.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)) (exp.f64 l))
(/.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)) (exp.f64 l))
(/.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)) (exp.f64 l))
(+.f64 0 (/.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) (exp.f64 l)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) (exp.f64 l)))) (cbrt.f64 (exp.f64 (/.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) (exp.f64 l)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) (exp.f64 l))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) (exp.f64 l))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) (exp.f64 l))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) (exp.f64 l)))) 1)
(.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) (exp.f64 (neg.f64 l)))
(.f64 (/.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) (exp.f64 l)) 1)
(.f64 1 (/.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) (exp.f64 l)))
(.f64 (cbrt.f64 (/.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) (exp.f64 l))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) (exp.f64 l))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) (exp.f64 l))) 2) (cbrt.f64 (/.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) (exp.f64 l))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M)))) 2) (.f64 (cbrt.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M)))) (exp.f64 (neg.f64 l))))
(.f64 (sqrt.f64 (/.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) (exp.f64 l))) (sqrt.f64 (/.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) (exp.f64 l))))
(.f64 (sqrt.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M)))) (.f64 (sqrt.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M)))) (exp.f64 (neg.f64 l))))
(.f64 (neg.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M)))) (/.f64 1 (neg.f64 (exp.f64 l))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M))))
(.f64 (/.f64 1 (cbrt.f64 (exp.f64 (+.f64 l l)))) (/.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) (cbrt.f64 (exp.f64 l))))
(.f64 (/.f64 1 (sqrt.f64 (exp.f64 l))) (/.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) (sqrt.f64 (exp.f64 l))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M)))) 2) 1) (/.f64 (cbrt.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M)))) (exp.f64 l)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M)))) 2) (cbrt.f64 (exp.f64 (+.f64 l l)))) (cbrt.f64 (/.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) (exp.f64 l))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M)))) 2) (sqrt.f64 (exp.f64 l))) (/.f64 (cbrt.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M)))) (sqrt.f64 (exp.f64 l))))
(.f64 (/.f64 (sqrt.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M)))) 1) (/.f64 (sqrt.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M)))) (exp.f64 l)))
(.f64 (/.f64 (sqrt.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M)))) (cbrt.f64 (exp.f64 (+.f64 l l)))) (/.f64 (sqrt.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M)))) (cbrt.f64 (exp.f64 l))))
(pow.f64 (/.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) (exp.f64 l)) 1)
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) (exp.f64 l))) 3)
(pow.f64 (pow.f64 (/.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) (exp.f64 l)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) (exp.f64 l))) 2)
(pow.f64 (/.f64 (exp.f64 l) (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M)))) -1)
(neg.f64 (/.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) (neg.f64 (exp.f64 l))))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) (exp.f64 l)) 2))
(log.f64 (exp.f64 (/.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) (exp.f64 l))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) (exp.f64 l)))))
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) (exp.f64 l)) 3))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) 3) (pow.f64 (exp.f64 l) 3)))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) (exp.f64 l))))
(exp.f64 (-.f64 (log.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M)))) l))
(exp.f64 (.f64 (-.f64 (log.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M)))) l) 1))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) (exp.f64 l))))

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

localize280.0ms (1%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(.f64 (.f64 n n) 1/4)

Compiler

Compiled 75 to 26 computations (65.3% saved)

series47.0ms (0.2%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
46.0ms	n	@	inf	(.f64 (.f64 n n) 1/4)
1.0ms	n	@	0	(.f64 (.f64 n n) 1/4)
0.0ms	n	@	-inf	(.f64 (.f64 n n) 1/4)

rewrite84.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1050×	`pow1`
1014×	`add-sqr-sqrt`
972×	`add-exp-log`
972×	`log1p-expm1-u`
972×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	123	13
2	1382	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs
(-.f64 (+.f64 1 (.f64 n (.f64 n 1/4))) 1)
(pow.f64 (.f64 n (.f64 n 1/4)) 1)
(pow.f64 (cbrt.f64 (.f64 n (.f64 n 1/4))) 3)
(pow.f64 (pow.f64 (.f64 n (.f64 n 1/4)) 3) 1/3)
(pow.f64 (*.f64 n 1/2) 2)
(sqrt.f64 (*.f64 1/16 (pow.f64 n 4)))
(log.f64 (pow.f64 (exp.f64 n) (*.f64 n 1/4)))
(cbrt.f64 (pow.f64 (.f64 n (.f64 n 1/4)) 3))
(expm1.f64 (log1p.f64 (.f64 n (.f64 n 1/4))))
(exp.f64 (log.f64 (.f64 n (.f64 n 1/4))))
(log1p.f64 (expm1.f64 (.f64 n (.f64 n 1/4))))

simplify43.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1582×	`log-prod`
1314×	`distribute-rgt-in`
1296×	`distribute-lft-in`
1020×	`associate-r`
846×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	299
1	90	299
2	332	299
3	2624	299

Stop Event

1×	node limit

Counts

23 → 13

Calls

Call 1

Inputs
(*.f64 1/4 (pow.f64 n 2))
(*.f64 1/4 (pow.f64 n 2))
(*.f64 1/4 (pow.f64 n 2))
(*.f64 1/4 (pow.f64 n 2))
(*.f64 1/4 (pow.f64 n 2))
(*.f64 1/4 (pow.f64 n 2))
(*.f64 1/4 (pow.f64 n 2))
(*.f64 1/4 (pow.f64 n 2))
(*.f64 1/4 (pow.f64 n 2))
(*.f64 1/4 (pow.f64 n 2))
(*.f64 1/4 (pow.f64 n 2))
(*.f64 1/4 (pow.f64 n 2))
(-.f64 (+.f64 1 (.f64 n (.f64 n 1/4))) 1)
(pow.f64 (.f64 n (.f64 n 1/4)) 1)
(pow.f64 (cbrt.f64 (.f64 n (.f64 n 1/4))) 3)
(pow.f64 (pow.f64 (.f64 n (.f64 n 1/4)) 3) 1/3)
(pow.f64 (*.f64 n 1/2) 2)
(sqrt.f64 (*.f64 1/16 (pow.f64 n 4)))
(log.f64 (pow.f64 (exp.f64 n) (*.f64 n 1/4)))
(cbrt.f64 (pow.f64 (.f64 n (.f64 n 1/4)) 3))
(expm1.f64 (log1p.f64 (.f64 n (.f64 n 1/4))))
(exp.f64 (log.f64 (.f64 n (.f64 n 1/4))))
(log1p.f64 (expm1.f64 (.f64 n (.f64 n 1/4))))

Outputs
(*.f64 1/4 (pow.f64 n 2))
(.f64 1/4 (.f64 n n))
(*.f64 1/4 (pow.f64 n 2))
(.f64 1/4 (.f64 n n))
(*.f64 1/4 (pow.f64 n 2))
(.f64 1/4 (.f64 n n))
(*.f64 1/4 (pow.f64 n 2))
(.f64 1/4 (.f64 n n))
(*.f64 1/4 (pow.f64 n 2))
(.f64 1/4 (.f64 n n))
(*.f64 1/4 (pow.f64 n 2))
(.f64 1/4 (.f64 n n))
(*.f64 1/4 (pow.f64 n 2))
(.f64 1/4 (.f64 n n))
(*.f64 1/4 (pow.f64 n 2))
(.f64 1/4 (.f64 n n))
(*.f64 1/4 (pow.f64 n 2))
(.f64 1/4 (.f64 n n))
(*.f64 1/4 (pow.f64 n 2))
(.f64 1/4 (.f64 n n))
(*.f64 1/4 (pow.f64 n 2))
(.f64 1/4 (.f64 n n))
(*.f64 1/4 (pow.f64 n 2))
(.f64 1/4 (.f64 n n))
(-.f64 (+.f64 1 (.f64 n (.f64 n 1/4))) 1)
(.f64 1/4 (.f64 n n))
(pow.f64 (.f64 n (.f64 n 1/4)) 1)
(.f64 1/4 (.f64 n n))
(pow.f64 (cbrt.f64 (.f64 n (.f64 n 1/4))) 3)
(.f64 1/4 (.f64 n n))
(pow.f64 (pow.f64 (.f64 n (.f64 n 1/4)) 3) 1/3)
(.f64 1/4 (.f64 n n))
(pow.f64 (*.f64 n 1/2) 2)
(.f64 1/4 (.f64 n n))
(sqrt.f64 (*.f64 1/16 (pow.f64 n 4)))
(.f64 1/4 (.f64 n n))
(log.f64 (pow.f64 (exp.f64 n) (*.f64 n 1/4)))
(.f64 1/4 (.f64 n n))
(cbrt.f64 (pow.f64 (.f64 n (.f64 n 1/4)) 3))
(.f64 1/4 (.f64 n n))
(expm1.f64 (log1p.f64 (.f64 n (.f64 n 1/4))))
(.f64 1/4 (.f64 n n))
(exp.f64 (log.f64 (.f64 n (.f64 n 1/4))))
(.f64 1/4 (.f64 n n))
(log1p.f64 (expm1.f64 (.f64 n (.f64 n 1/4))))
(.f64 1/4 (.f64 n n))

localize1.2s (4.3%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(.f64 K (.f64 (+.f64 m n) 1/2))
	98.9%	(expm1.f64 (log1p.f64 (.f64 K (.f64 (+.f64 m n) 1/2))))
	97.3%	(log1p.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))
	86.4%	(cos.f64 (-.f64 (expm1.f64 (log1p.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))) M))

Compiler

Compiled 128 to 49 computations (61.7% saved)

localize532.0ms (1.9%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(.f64 (.f64 (log.f64 (.f64 K (.f64 n 1/2))) 3) 1/3)
✓	97.1%	(exp.f64 (.f64 (.f64 (log.f64 (.f64 K (.f64 n 1/2))) 3) 1/3))
✓	89.6%	(log.f64 (.f64 K (.f64 n 1/2)))
✓	77.9%	(cos.f64 (-.f64 (exp.f64 (.f64 (.f64 (log.f64 (.f64 K (.f64 n 1/2))) 3) 1/3)) M))

Compiler

Compiled 187 to 109 computations (41.7% saved)

series82.0ms (0.3%)

Counts

4 → 108

Calls

27 calls:

Time	Variable		Point	Expression
28.0ms	n	@	0	(log.f64 (.f64 K (.f64 n 1/2)))
13.0ms	n	@	-inf	(log.f64 (.f64 K (.f64 n 1/2)))
12.0ms	K	@	0	(log.f64 (.f64 K (.f64 n 1/2)))
12.0ms	K	@	-inf	(log.f64 (.f64 K (.f64 n 1/2)))
8.0ms	K	@	inf	(log.f64 (.f64 K (.f64 n 1/2)))

rewrite99.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1594×	`prod-diff`
1496×	`log-prod`
788×	`fma-def`
576×	`expm1-udef`
572×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	98
1	354	70
2	4359	70

Stop Event

1×	node limit

Counts

4 → 183

Calls

Call 1

Inputs
(cos.f64 (-.f64 (exp.f64 (.f64 (.f64 (log.f64 (.f64 K (.f64 n 1/2))) 3) 1/3)) M))
(log.f64 (.f64 K (.f64 n 1/2)))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 K (.f64 n 1/2))) 3) 1/3))
(.f64 (.f64 (log.f64 (.f64 K (.f64 n 1/2))) 3) 1/3)

Outputs
(+.f64 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M)) (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 M)))
(+.f64 (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 M)) (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M)))
(+.f64 0 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)))
(+.f64 (.f64 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M)) 1) (.f64 (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 M)) 1))
(+.f64 (fma.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M) (neg.f64 (.f64 (neg.f64 (sin.f64 M)) (sin.f64 (.f64 K (.f64 n 1/2)))))) (fma.f64 (neg.f64 (neg.f64 (sin.f64 M))) (sin.f64 (.f64 K (.f64 n 1/2))) (.f64 (neg.f64 (sin.f64 M)) (sin.f64 (.f64 K (.f64 n 1/2))))))
(+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)))) (sin.f64 1)))
(+.f64 (.f64 (cos.f64 (/.f64 (pow.f64 (.f64 K (.f64 n 1/2)) 3) (fma.f64 M (fma.f64 K (.f64 n 1/2) M) (pow.f64 (.f64 K (.f64 n 1/2)) 2)))) (cos.f64 (/.f64 (pow.f64 M 3) (fma.f64 M (fma.f64 K (.f64 n 1/2) M) (pow.f64 (.f64 K (.f64 n 1/2)) 2))))) (.f64 (sin.f64 (/.f64 (pow.f64 (.f64 K (.f64 n 1/2)) 3) (fma.f64 M (fma.f64 K (.f64 n 1/2) M) (pow.f64 (.f64 K (.f64 n 1/2)) 2)))) (sin.f64 (/.f64 (pow.f64 M 3) (fma.f64 M (fma.f64 K (.f64 n 1/2) M) (pow.f64 (.f64 K (.f64 n 1/2)) 2))))))
(+.f64 (.f64 (cos.f64 (/.f64 (pow.f64 (.f64 K (.f64 n 1/2)) 2) (fma.f64 K (.f64 n 1/2) M))) (cos.f64 (/.f64 (.f64 M M) (fma.f64 K (.f64 n 1/2) M)))) (.f64 (sin.f64 (/.f64 (pow.f64 (.f64 K (.f64 n 1/2)) 2) (fma.f64 K (.f64 n 1/2) M))) (sin.f64 (/.f64 (.f64 M M) (fma.f64 K (.f64 n 1/2) M)))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)))) (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 K (*.f64 n 1/2)) M))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))))))
(-.f64 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M)) (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (neg.f64 (sin.f64 M))))
(-.f64 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M)) (.f64 (neg.f64 (sin.f64 M)) (sin.f64 (.f64 K (.f64 n 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)))) 1)
(-.f64 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 (.f64 (neg.f64 M) 1))) (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 (.f64 (neg.f64 M) 1))))
(-.f64 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (cos.f64 (fma.f64 (neg.f64 M) 1 M))) (.f64 (sin.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (sin.f64 (fma.f64 (neg.f64 M) 1 M))))
(-.f64 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) 2) M))) (.f64 (sin.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) 2) M))))
(-.f64 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (cos.f64 (+.f64 (neg.f64 M) M))) (.f64 (sin.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (sin.f64 (+.f64 (neg.f64 M) M))))
(.f64 (cos.f64 (-.f64 (.f64 K (*.f64 n 1/2)) M)) 1)
(.f64 1 (cos.f64 (-.f64 (.f64 K (*.f64 n 1/2)) M)))
(.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 K (*.f64 n 1/2)) M))) 2))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))) 2) (cbrt.f64 (cos.f64 (-.f64 (.f64 K (*.f64 n 1/2)) M))))
(.f64 (sqrt.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))) (sqrt.f64 (cos.f64 (-.f64 (.f64 K (*.f64 n 1/2)) M))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M)) 3) (pow.f64 (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 M)) 3)) (fma.f64 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M)) (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M)) (-.f64 (.f64 (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 M)) (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 M))) (.f64 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M)) (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 M))))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M)) (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M))) (.f64 (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 M)) (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 M)))) (cos.f64 (fma.f64 K (*.f64 n 1/2) M)))
(pow.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) 1)
(pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))) 3)
(pow.f64 (pow.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) 2))
(log.f64 (exp.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)))))
(log.f64 (.f64 (exp.f64 (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 M))) (exp.f64 (.f64 (cos.f64 (.f64 K (*.f64 n 1/2))) (cos.f64 M)))))
(cbrt.f64 (pow.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) 3))
(expm1.f64 (log1p.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))))
(exp.f64 (log.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))))
(exp.f64 (.f64 (log.f64 (cos.f64 (-.f64 (.f64 K (*.f64 n 1/2)) M))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))))
(fma.f64 1 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M)) (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 M)))
(fma.f64 1 (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 M)) (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M)))
(fma.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M) (.f64 (sin.f64 (.f64 K (*.f64 n 1/2))) (sin.f64 M)))
(fma.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M) (neg.f64 (.f64 (sin.f64 (.f64 K (*.f64 n 1/2))) (neg.f64 (sin.f64 M)))))
(fma.f64 (cos.f64 M) (cos.f64 (.f64 K (.f64 n 1/2))) (.f64 (sin.f64 (.f64 K (*.f64 n 1/2))) (sin.f64 M)))
(fma.f64 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M)) 1 (.f64 (.f64 (sin.f64 (.f64 K (*.f64 n 1/2))) (sin.f64 M)) 1))
(fma.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 M) (.f64 (cos.f64 (.f64 K (*.f64 n 1/2))) (cos.f64 M)))
(fma.f64 (sin.f64 M) (sin.f64 (.f64 K (.f64 n 1/2))) (.f64 (cos.f64 (.f64 K (*.f64 n 1/2))) (cos.f64 M)))
(fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 M))) (cbrt.f64 (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 M)))) (cbrt.f64 (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 M))) (.f64 (cos.f64 (.f64 K (*.f64 n 1/2))) (cos.f64 M)))
(fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M))) (cbrt.f64 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M)))) (cbrt.f64 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M))) (.f64 (sin.f64 (.f64 K (*.f64 n 1/2))) (sin.f64 M)))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 M))) (sqrt.f64 (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 M))) (.f64 (cos.f64 (.f64 K (*.f64 n 1/2))) (cos.f64 M)))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M))) (sqrt.f64 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M))) (.f64 (sin.f64 (.f64 K (*.f64 n 1/2))) (sin.f64 M)))
(+.f64 (log.f64 (.f64 K (.f64 n 1/2))) 0)
(+.f64 (log.f64 1/2) (log.f64 (*.f64 K n)))
(+.f64 (log.f64 n) (log.f64 (*.f64 1/2 K)))
(+.f64 (log.f64 (*.f64 n 1/2)) (log.f64 K))
(+.f64 (log.f64 K) (log.f64 (*.f64 n 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 K (.f64 n 1/2))) 2)) (log.f64 (cbrt.f64 (.f64 K (.f64 n 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (.f64 n 1/2))) (log.f64 (.f64 (sqrt.f64 (*.f64 n 1/2)) K)))
(+.f64 (log.f64 (cbrt.f64 (.f64 K (.f64 n 1/2)))) (log.f64 (pow.f64 (cbrt.f64 (.f64 K (.f64 n 1/2))) 2)))
(+.f64 (log.f64 (sqrt.f64 K)) (log.f64 (.f64 (sqrt.f64 K) (.f64 n 1/2))))
(+.f64 0 (log.f64 (.f64 K (.f64 n 1/2))))
(+.f64 (log.f64 (*.f64 K n)) (log.f64 1/2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 K) 2)) (log.f64 (.f64 (cbrt.f64 K) (.f64 n 1/2))))
(+.f64 (log.f64 (sqrt.f64 (.f64 K (.f64 n 1/2)))) (log.f64 (sqrt.f64 (.f64 K (.f64 n 1/2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 n 1/2)) 2)) (log.f64 (.f64 (cbrt.f64 (*.f64 n 1/2)) K)))
(+.f64 (.f64 (log.f64 K) 1) (.f64 (log.f64 (*.f64 n 1/2)) 1))
(+.f64 (log.f64 (*.f64 K 1/2)) (log.f64 n))
(+.f64 (log.f64 (.f64 K (pow.f64 (cbrt.f64 (.f64 n 1/2)) 2))) (log.f64 (cbrt.f64 (*.f64 n 1/2))))
(+.f64 (log.f64 (.f64 K (sqrt.f64 (.f64 n 1/2)))) (log.f64 (sqrt.f64 (*.f64 n 1/2))))
(+.f64 (log.f64 (.f64 (.f64 n 1/2) (pow.f64 (cbrt.f64 K) 2))) (log.f64 (cbrt.f64 K)))
(+.f64 (log.f64 (.f64 (.f64 n 1/2) (sqrt.f64 K))) (log.f64 (sqrt.f64 K)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (.f64 K (.f64 n 1/2))))) 1)
(.f64 3 (.f64 (log.f64 (.f64 K (.f64 n 1/2))) 1/3))
(.f64 (.f64 3 (log.f64 (.f64 K (.f64 n 1/2)))) 1/3)
(.f64 1/3 (.f64 3 (log.f64 (.f64 K (.f64 n 1/2)))))
(.f64 (log.f64 (.f64 K (*.f64 n 1/2))) 1)
(.f64 1 (log.f64 (.f64 K (*.f64 n 1/2))))
(.f64 (cbrt.f64 (log.f64 (.f64 K (.f64 n 1/2)))) (cbrt.f64 (pow.f64 (log.f64 (.f64 K (*.f64 n 1/2))) 2)))
(.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 K (.f64 n 1/2))) 2)) (cbrt.f64 (log.f64 (.f64 K (*.f64 n 1/2)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 (.f64 K (.f64 n 1/2))) 2) 9)) (.f64 (cbrt.f64 (.f64 3 (log.f64 (.f64 K (.f64 n 1/2))))) 1/3))
(.f64 (sqrt.f64 (log.f64 (.f64 K (.f64 n 1/2)))) (sqrt.f64 (log.f64 (.f64 K (*.f64 n 1/2)))))
(.f64 (sqrt.f64 (.f64 3 (log.f64 (.f64 K (.f64 n 1/2))))) (.f64 (sqrt.f64 (.f64 3 (log.f64 (.f64 K (.f64 n 1/2))))) 1/3))
(.f64 (.f64 1/3 (log.f64 (.f64 K (.f64 n 1/2)))) 3)
(.f64 (.f64 1/3 (cbrt.f64 (.f64 (pow.f64 (log.f64 (.f64 K (.f64 n 1/2))) 2) 9))) (cbrt.f64 (.f64 3 (log.f64 (.f64 K (.f64 n 1/2))))))
(.f64 (.f64 1/3 (sqrt.f64 (.f64 3 (log.f64 (.f64 K (.f64 n 1/2)))))) (sqrt.f64 (.f64 3 (log.f64 (.f64 K (.f64 n 1/2))))))
(/.f64 (+.f64 (pow.f64 (log.f64 K) 3) (pow.f64 (log.f64 (.f64 n 1/2)) 3)) (fma.f64 (log.f64 K) (log.f64 K) (-.f64 (.f64 (log.f64 (.f64 n 1/2)) (log.f64 (.f64 n 1/2))) (.f64 (log.f64 K) (log.f64 (.f64 n 1/2))))))
(/.f64 (-.f64 (.f64 (log.f64 K) (log.f64 K)) (.f64 (log.f64 (.f64 n 1/2)) (log.f64 (.f64 n 1/2)))) (log.f64 (/.f64 K (*.f64 n 1/2))))
(pow.f64 (log.f64 (.f64 K (.f64 n 1/2))) 1)
(pow.f64 (cbrt.f64 (log.f64 (.f64 K (.f64 n 1/2)))) 3)
(pow.f64 (pow.f64 (log.f64 (.f64 K (.f64 n 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (.f64 K (.f64 n 1/2)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (.f64 K (.f64 n 1/2))) 2))
(cbrt.f64 (pow.f64 (log.f64 (.f64 K (.f64 n 1/2))) 3))
(expm1.f64 (log1p.f64 (log.f64 (.f64 K (.f64 n 1/2)))))
(exp.f64 (log.f64 (log.f64 (.f64 K (.f64 n 1/2)))))
(exp.f64 (.f64 (log.f64 (log.f64 (.f64 K (*.f64 n 1/2)))) 1))
(log1p.f64 (fma.f64 K (*.f64 n 1/2) -1))
(fma.f64 1 (log.f64 (*.f64 n 1/2)) (log.f64 K))
(fma.f64 1 (log.f64 K) (log.f64 (*.f64 n 1/2)))
(fma.f64 (log.f64 K) 1 (.f64 (log.f64 (.f64 n 1/2)) 1))
(fma.f64 (.f64 (cbrt.f64 (log.f64 (.f64 n 1/2))) (cbrt.f64 (log.f64 (.f64 n 1/2)))) (cbrt.f64 (log.f64 (.f64 n 1/2))) (log.f64 K))
(fma.f64 (.f64 (cbrt.f64 (log.f64 K)) (cbrt.f64 (log.f64 K))) (cbrt.f64 (log.f64 K)) (log.f64 (.f64 n 1/2)))
(fma.f64 (sqrt.f64 (log.f64 (.f64 n 1/2))) (sqrt.f64 (log.f64 (.f64 n 1/2))) (log.f64 K))
(fma.f64 (sqrt.f64 (log.f64 K)) (sqrt.f64 (log.f64 K)) (log.f64 (*.f64 n 1/2)))
(+.f64 0 (.f64 K (.f64 n 1/2)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 K) (.f64 n 1/2))) (cbrt.f64 (pow.f64 (exp.f64 K) (.f64 n 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 K) (.f64 n 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 K) (.f64 n 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 K) (.f64 n 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 K (.f64 n 1/2)))) 1)
(.f64 K (.f64 n 1/2))
(.f64 n (.f64 1/2 K))
(.f64 1/2 (.f64 K n))
(.f64 (.f64 n 1/2) K)
(.f64 (.f64 K (*.f64 n 1/2)) 1)
(.f64 1 (.f64 K (*.f64 n 1/2)))
(.f64 (cbrt.f64 (.f64 K (.f64 n 1/2))) (pow.f64 (cbrt.f64 (.f64 K (*.f64 n 1/2))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 K (.f64 n 1/2))) 2) (cbrt.f64 (.f64 K (*.f64 n 1/2))))
(.f64 (pow.f64 (cbrt.f64 (.f64 n 1/2)) 2) (.f64 (cbrt.f64 (.f64 n 1/2)) K))
(.f64 (pow.f64 (cbrt.f64 K) 2) (.f64 (cbrt.f64 K) (*.f64 n 1/2)))
(.f64 (sqrt.f64 (.f64 K (.f64 n 1/2))) (sqrt.f64 (.f64 K (*.f64 n 1/2))))
(.f64 (sqrt.f64 (.f64 n 1/2)) (.f64 (sqrt.f64 (.f64 n 1/2)) K))
(.f64 (sqrt.f64 K) (.f64 (sqrt.f64 K) (*.f64 n 1/2)))
(.f64 (.f64 K n) 1/2)
(.f64 (.f64 K 1/2) n)
(.f64 (.f64 K (pow.f64 (cbrt.f64 (.f64 n 1/2)) 2)) (cbrt.f64 (.f64 n 1/2)))
(.f64 (.f64 K (sqrt.f64 (.f64 n 1/2))) (sqrt.f64 (.f64 n 1/2)))
(.f64 (.f64 (*.f64 n 1/2) (pow.f64 (cbrt.f64 K) 2)) (cbrt.f64 K))
(.f64 (.f64 (*.f64 n 1/2) (sqrt.f64 K)) (sqrt.f64 K))
(pow.f64 (.f64 K (.f64 n 1/2)) 1)
(pow.f64 (exp.f64 1/3) (.f64 3 (log.f64 (.f64 K (*.f64 n 1/2)))))
(pow.f64 (pow.f64 (.f64 K (.f64 n 1/2)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 K (.f64 n 1/2))) 3)
(pow.f64 (sqrt.f64 (.f64 K (.f64 n 1/2))) 2)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 K (.f64 n 1/2))) 2))) (cbrt.f64 (log.f64 (.f64 K (.f64 n 1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 K (.f64 n 1/2))))) (sqrt.f64 (log.f64 (.f64 K (.f64 n 1/2)))))
(pow.f64 (exp.f64 1) (log.f64 (.f64 K (.f64 n 1/2))))
(sqrt.f64 (pow.f64 (.f64 K (.f64 n 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 K) (*.f64 n 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 K (.f64 n 1/2)))))
(cbrt.f64 (pow.f64 (.f64 K (.f64 n 1/2)) 3))
(cbrt.f64 (.f64 (pow.f64 K 3) (pow.f64 (.f64 n 1/2) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 n 1/2) 3) (pow.f64 K 3)))
(expm1.f64 (log1p.f64 (.f64 K (.f64 n 1/2))))
(log1p.f64 (expm1.f64 (.f64 K (.f64 n 1/2))))
(+.f64 (log.f64 (.f64 K (.f64 n 1/2))) 0)
(+.f64 (log.f64 1/2) (log.f64 (*.f64 K n)))
(+.f64 (log.f64 n) (log.f64 (*.f64 1/2 K)))
(+.f64 (log.f64 (*.f64 n 1/2)) (log.f64 K))
(+.f64 (log.f64 K) (log.f64 (*.f64 n 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 K (.f64 n 1/2))) 2)) (log.f64 (cbrt.f64 (.f64 K (.f64 n 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (.f64 n 1/2))) (log.f64 (.f64 (sqrt.f64 (*.f64 n 1/2)) K)))
(+.f64 (log.f64 (cbrt.f64 (.f64 K (.f64 n 1/2)))) (log.f64 (pow.f64 (cbrt.f64 (.f64 K (.f64 n 1/2))) 2)))
(+.f64 (log.f64 (sqrt.f64 K)) (log.f64 (.f64 (sqrt.f64 K) (.f64 n 1/2))))
(+.f64 0 (log.f64 (.f64 K (.f64 n 1/2))))
(+.f64 (log.f64 (*.f64 K n)) (log.f64 1/2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 K) 2)) (log.f64 (.f64 (cbrt.f64 K) (.f64 n 1/2))))
(+.f64 (log.f64 (sqrt.f64 (.f64 K (.f64 n 1/2)))) (log.f64 (sqrt.f64 (.f64 K (.f64 n 1/2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 n 1/2)) 2)) (log.f64 (.f64 (cbrt.f64 (*.f64 n 1/2)) K)))
(+.f64 (.f64 (log.f64 K) 1) (.f64 (log.f64 (*.f64 n 1/2)) 1))
(+.f64 (log.f64 (*.f64 K 1/2)) (log.f64 n))
(+.f64 (log.f64 (.f64 K (pow.f64 (cbrt.f64 (.f64 n 1/2)) 2))) (log.f64 (cbrt.f64 (*.f64 n 1/2))))
(+.f64 (log.f64 (.f64 K (sqrt.f64 (.f64 n 1/2)))) (log.f64 (sqrt.f64 (*.f64 n 1/2))))
(+.f64 (log.f64 (.f64 (.f64 n 1/2) (pow.f64 (cbrt.f64 K) 2))) (log.f64 (cbrt.f64 K)))
(+.f64 (log.f64 (.f64 (.f64 n 1/2) (sqrt.f64 K))) (log.f64 (sqrt.f64 K)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (.f64 K (.f64 n 1/2))))) 1)
(/.f64 (+.f64 (pow.f64 (log.f64 K) 3) (pow.f64 (log.f64 (.f64 n 1/2)) 3)) (fma.f64 (log.f64 K) (log.f64 K) (-.f64 (.f64 (log.f64 (.f64 n 1/2)) (log.f64 (.f64 n 1/2))) (.f64 (log.f64 K) (log.f64 (.f64 n 1/2))))))
(/.f64 (-.f64 (.f64 (log.f64 K) (log.f64 K)) (.f64 (log.f64 (.f64 n 1/2)) (log.f64 (.f64 n 1/2)))) (log.f64 (/.f64 K (*.f64 n 1/2))))
(pow.f64 (log.f64 (.f64 K (.f64 n 1/2))) 1)
(pow.f64 (cbrt.f64 (log.f64 (.f64 K (.f64 n 1/2)))) 3)
(pow.f64 (pow.f64 (log.f64 (.f64 K (.f64 n 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (.f64 K (.f64 n 1/2)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (.f64 K (.f64 n 1/2))) 2))
(log.f64 (.f64 K (.f64 n 1/2)))
(log.f64 (+.f64 1 (fma.f64 K (*.f64 n 1/2) -1)))
(cbrt.f64 (pow.f64 (log.f64 (.f64 K (.f64 n 1/2))) 3))
(expm1.f64 (log1p.f64 (log.f64 (.f64 K (.f64 n 1/2)))))
(exp.f64 (log.f64 (log.f64 (.f64 K (.f64 n 1/2)))))
(exp.f64 (.f64 (log.f64 (log.f64 (.f64 K (*.f64 n 1/2)))) 1))
(log1p.f64 (fma.f64 K (*.f64 n 1/2) -1))
(fma.f64 1 (log.f64 (*.f64 n 1/2)) (log.f64 K))
(fma.f64 1 (log.f64 K) (log.f64 (*.f64 n 1/2)))
(fma.f64 (log.f64 K) 1 (.f64 (log.f64 (.f64 n 1/2)) 1))
(fma.f64 (.f64 (cbrt.f64 (log.f64 (.f64 n 1/2))) (cbrt.f64 (log.f64 (.f64 n 1/2)))) (cbrt.f64 (log.f64 (.f64 n 1/2))) (log.f64 K))
(fma.f64 (.f64 (cbrt.f64 (log.f64 K)) (cbrt.f64 (log.f64 K))) (cbrt.f64 (log.f64 K)) (log.f64 (.f64 n 1/2)))
(fma.f64 (sqrt.f64 (log.f64 (.f64 n 1/2))) (sqrt.f64 (log.f64 (.f64 n 1/2))) (log.f64 K))
(fma.f64 (sqrt.f64 (log.f64 K)) (sqrt.f64 (log.f64 K)) (log.f64 (*.f64 n 1/2)))

simplify111.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1140×	`unswap-sqr`
678×	`log-prod`
562×	`associate-r`
516×	`associate-l`
496×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	449	8169
1	1021	8011
2	3375	7763

Stop Event

1×	node limit

Counts

291 → 238

Calls

Call 1

Inputs
(cos.f64 (neg.f64 M))
(+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 n (*.f64 K (sin.f64 (neg.f64 M))))))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 n 2) (pow.f64 K 2)))) (+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M)))))))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 n 2) (pow.f64 K 2)))) (+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M))))) (.f64 1/48 (.f64 (pow.f64 n 3) (*.f64 (pow.f64 K 3) (sin.f64 (neg.f64 M))))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (neg.f64 M))
(+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 n (*.f64 K (sin.f64 (neg.f64 M))))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M))))) (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (cos.f64 (neg.f64 M)) (pow.f64 K 2))))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (cos.f64 (neg.f64 M)) (pow.f64 K 2)))) (.f64 1/48 (.f64 (pow.f64 n 3) (*.f64 (pow.f64 K 3) (sin.f64 (neg.f64 M))))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (.f64 1/2 (.f64 n K)))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) M) (cos.f64 (.f64 1/2 (*.f64 n K))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (pow.f64 M 2))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) M) (cos.f64 (.f64 1/2 (*.f64 n K)))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (pow.f64 M 2))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) M) (+.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 -1/6 (.f64 (sin.f64 (.f64 1/2 (*.f64 n K))) (pow.f64 M 3))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M)))
(cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M)))
(cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M)))
(cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M)))
(+.f64 (log.f64 K) (log.f64 (*.f64 1/2 n)))
(+.f64 (log.f64 K) (log.f64 (*.f64 1/2 n)))
(+.f64 (log.f64 K) (log.f64 (*.f64 1/2 n)))
(+.f64 (log.f64 K) (log.f64 (*.f64 1/2 n)))
(+.f64 (log.f64 (.f64 1/2 n)) (.f64 -1 (log.f64 (/.f64 1 K))))
(+.f64 (log.f64 (.f64 1/2 n)) (.f64 -1 (log.f64 (/.f64 1 K))))
(+.f64 (log.f64 (.f64 1/2 n)) (.f64 -1 (log.f64 (/.f64 1 K))))
(+.f64 (log.f64 (.f64 1/2 n)) (.f64 -1 (log.f64 (/.f64 1 K))))
(+.f64 (log.f64 (.f64 -1/2 n)) (.f64 -1 (log.f64 (/.f64 -1 K))))
(+.f64 (log.f64 (.f64 -1/2 n)) (.f64 -1 (log.f64 (/.f64 -1 K))))
(+.f64 (log.f64 (.f64 -1/2 n)) (.f64 -1 (log.f64 (/.f64 -1 K))))
(+.f64 (log.f64 (.f64 -1/2 n)) (.f64 -1 (log.f64 (/.f64 -1 K))))
(+.f64 (log.f64 (*.f64 1/2 K)) (log.f64 n))
(+.f64 (log.f64 (*.f64 1/2 K)) (log.f64 n))
(+.f64 (log.f64 (*.f64 1/2 K)) (log.f64 n))
(+.f64 (log.f64 (*.f64 1/2 K)) (log.f64 n))
(+.f64 (log.f64 (.f64 1/2 K)) (.f64 -1 (log.f64 (/.f64 1 n))))
(+.f64 (log.f64 (.f64 1/2 K)) (.f64 -1 (log.f64 (/.f64 1 n))))
(+.f64 (log.f64 (.f64 1/2 K)) (.f64 -1 (log.f64 (/.f64 1 n))))
(+.f64 (log.f64 (.f64 1/2 K)) (.f64 -1 (log.f64 (/.f64 1 n))))
(+.f64 (log.f64 (.f64 -1/2 K)) (.f64 -1 (log.f64 (/.f64 -1 n))))
(+.f64 (log.f64 (.f64 -1/2 K)) (.f64 -1 (log.f64 (/.f64 -1 n))))
(+.f64 (log.f64 (.f64 -1/2 K)) (.f64 -1 (log.f64 (/.f64 -1 n))))
(+.f64 (log.f64 (.f64 -1/2 K)) (.f64 -1 (log.f64 (/.f64 -1 n))))
(.f64 1/2 (.f64 n K))
(.f64 1/2 (.f64 n K))
(.f64 1/2 (.f64 n K))
(.f64 1/2 (.f64 n K))
(.f64 1/2 (.f64 n K))
(.f64 1/2 (.f64 n K))
(.f64 1/2 (.f64 n K))
(.f64 1/2 (.f64 n K))
(.f64 1/2 (.f64 n K))
(.f64 1/2 (.f64 n K))
(.f64 1/2 (.f64 n K))
(.f64 1/2 (.f64 n K))
(.f64 1/2 (.f64 n K))
(.f64 1/2 (.f64 n K))
(.f64 1/2 (.f64 n K))
(.f64 1/2 (.f64 n K))
(.f64 1/2 (.f64 n K))
(.f64 1/2 (.f64 n K))
(.f64 1/2 (.f64 n K))
(.f64 1/2 (.f64 n K))
(.f64 1/2 (.f64 n K))
(.f64 1/2 (.f64 n K))
(.f64 1/2 (.f64 n K))
(.f64 1/2 (.f64 n K))
(+.f64 (log.f64 K) (log.f64 (*.f64 1/2 n)))
(+.f64 (log.f64 K) (log.f64 (*.f64 1/2 n)))
(+.f64 (log.f64 K) (log.f64 (*.f64 1/2 n)))
(+.f64 (log.f64 K) (log.f64 (*.f64 1/2 n)))
(+.f64 (log.f64 (.f64 1/2 n)) (.f64 -1 (log.f64 (/.f64 1 K))))
(+.f64 (log.f64 (.f64 1/2 n)) (.f64 -1 (log.f64 (/.f64 1 K))))
(+.f64 (log.f64 (.f64 1/2 n)) (.f64 -1 (log.f64 (/.f64 1 K))))
(+.f64 (log.f64 (.f64 1/2 n)) (.f64 -1 (log.f64 (/.f64 1 K))))
(+.f64 (log.f64 (.f64 -1/2 n)) (.f64 -1 (log.f64 (/.f64 -1 K))))
(+.f64 (log.f64 (.f64 -1/2 n)) (.f64 -1 (log.f64 (/.f64 -1 K))))
(+.f64 (log.f64 (.f64 -1/2 n)) (.f64 -1 (log.f64 (/.f64 -1 K))))
(+.f64 (log.f64 (.f64 -1/2 n)) (.f64 -1 (log.f64 (/.f64 -1 K))))
(+.f64 (log.f64 (*.f64 1/2 K)) (log.f64 n))
(+.f64 (log.f64 (*.f64 1/2 K)) (log.f64 n))
(+.f64 (log.f64 (*.f64 1/2 K)) (log.f64 n))
(+.f64 (log.f64 (*.f64 1/2 K)) (log.f64 n))
(+.f64 (log.f64 (.f64 1/2 K)) (.f64 -1 (log.f64 (/.f64 1 n))))
(+.f64 (log.f64 (.f64 1/2 K)) (.f64 -1 (log.f64 (/.f64 1 n))))
(+.f64 (log.f64 (.f64 1/2 K)) (.f64 -1 (log.f64 (/.f64 1 n))))
(+.f64 (log.f64 (.f64 1/2 K)) (.f64 -1 (log.f64 (/.f64 1 n))))
(+.f64 (log.f64 (.f64 -1/2 K)) (.f64 -1 (log.f64 (/.f64 -1 n))))
(+.f64 (log.f64 (.f64 -1/2 K)) (.f64 -1 (log.f64 (/.f64 -1 n))))
(+.f64 (log.f64 (.f64 -1/2 K)) (.f64 -1 (log.f64 (/.f64 -1 n))))
(+.f64 (log.f64 (.f64 -1/2 K)) (.f64 -1 (log.f64 (/.f64 -1 n))))
(+.f64 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M)) (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 M)))
(+.f64 (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 M)) (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M)))
(+.f64 0 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)))
(+.f64 (.f64 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M)) 1) (.f64 (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 M)) 1))
(+.f64 (fma.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M) (neg.f64 (.f64 (neg.f64 (sin.f64 M)) (sin.f64 (.f64 K (.f64 n 1/2)))))) (fma.f64 (neg.f64 (neg.f64 (sin.f64 M))) (sin.f64 (.f64 K (.f64 n 1/2))) (.f64 (neg.f64 (sin.f64 M)) (sin.f64 (.f64 K (.f64 n 1/2))))))
(+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)))) (sin.f64 1)))
(+.f64 (.f64 (cos.f64 (/.f64 (pow.f64 (.f64 K (.f64 n 1/2)) 3) (fma.f64 M (fma.f64 K (.f64 n 1/2) M) (pow.f64 (.f64 K (.f64 n 1/2)) 2)))) (cos.f64 (/.f64 (pow.f64 M 3) (fma.f64 M (fma.f64 K (.f64 n 1/2) M) (pow.f64 (.f64 K (.f64 n 1/2)) 2))))) (.f64 (sin.f64 (/.f64 (pow.f64 (.f64 K (.f64 n 1/2)) 3) (fma.f64 M (fma.f64 K (.f64 n 1/2) M) (pow.f64 (.f64 K (.f64 n 1/2)) 2)))) (sin.f64 (/.f64 (pow.f64 M 3) (fma.f64 M (fma.f64 K (.f64 n 1/2) M) (pow.f64 (.f64 K (.f64 n 1/2)) 2))))))
(+.f64 (.f64 (cos.f64 (/.f64 (pow.f64 (.f64 K (.f64 n 1/2)) 2) (fma.f64 K (.f64 n 1/2) M))) (cos.f64 (/.f64 (.f64 M M) (fma.f64 K (.f64 n 1/2) M)))) (.f64 (sin.f64 (/.f64 (pow.f64 (.f64 K (.f64 n 1/2)) 2) (fma.f64 K (.f64 n 1/2) M))) (sin.f64 (/.f64 (.f64 M M) (fma.f64 K (.f64 n 1/2) M)))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)))) (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 K (*.f64 n 1/2)) M))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))))))
(-.f64 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M)) (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (neg.f64 (sin.f64 M))))
(-.f64 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M)) (.f64 (neg.f64 (sin.f64 M)) (sin.f64 (.f64 K (.f64 n 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)))) 1)
(-.f64 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 (.f64 (neg.f64 M) 1))) (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 (.f64 (neg.f64 M) 1))))
(-.f64 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (cos.f64 (fma.f64 (neg.f64 M) 1 M))) (.f64 (sin.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (sin.f64 (fma.f64 (neg.f64 M) 1 M))))
(-.f64 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) 2) M))) (.f64 (sin.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) 2) M))))
(-.f64 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (cos.f64 (+.f64 (neg.f64 M) M))) (.f64 (sin.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (sin.f64 (+.f64 (neg.f64 M) M))))
(.f64 (cos.f64 (-.f64 (.f64 K (*.f64 n 1/2)) M)) 1)
(.f64 1 (cos.f64 (-.f64 (.f64 K (*.f64 n 1/2)) M)))
(.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 K (*.f64 n 1/2)) M))) 2))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))) 2) (cbrt.f64 (cos.f64 (-.f64 (.f64 K (*.f64 n 1/2)) M))))
(.f64 (sqrt.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))) (sqrt.f64 (cos.f64 (-.f64 (.f64 K (*.f64 n 1/2)) M))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M)) 3) (pow.f64 (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 M)) 3)) (fma.f64 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M)) (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M)) (-.f64 (.f64 (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 M)) (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 M))) (.f64 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M)) (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 M))))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M)) (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M))) (.f64 (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 M)) (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 M)))) (cos.f64 (fma.f64 K (*.f64 n 1/2) M)))
(pow.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) 1)
(pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))) 3)
(pow.f64 (pow.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) 2))
(log.f64 (exp.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)))))
(log.f64 (.f64 (exp.f64 (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 M))) (exp.f64 (.f64 (cos.f64 (.f64 K (*.f64 n 1/2))) (cos.f64 M)))))
(cbrt.f64 (pow.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) 3))
(expm1.f64 (log1p.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))))
(exp.f64 (log.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))))
(exp.f64 (.f64 (log.f64 (cos.f64 (-.f64 (.f64 K (*.f64 n 1/2)) M))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))))
(fma.f64 1 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M)) (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 M)))
(fma.f64 1 (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 M)) (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M)))
(fma.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M) (.f64 (sin.f64 (.f64 K (*.f64 n 1/2))) (sin.f64 M)))
(fma.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M) (neg.f64 (.f64 (sin.f64 (.f64 K (*.f64 n 1/2))) (neg.f64 (sin.f64 M)))))
(fma.f64 (cos.f64 M) (cos.f64 (.f64 K (.f64 n 1/2))) (.f64 (sin.f64 (.f64 K (*.f64 n 1/2))) (sin.f64 M)))
(fma.f64 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M)) 1 (.f64 (.f64 (sin.f64 (.f64 K (*.f64 n 1/2))) (sin.f64 M)) 1))
(fma.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 M) (.f64 (cos.f64 (.f64 K (*.f64 n 1/2))) (cos.f64 M)))
(fma.f64 (sin.f64 M) (sin.f64 (.f64 K (.f64 n 1/2))) (.f64 (cos.f64 (.f64 K (*.f64 n 1/2))) (cos.f64 M)))
(fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 M))) (cbrt.f64 (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 M)))) (cbrt.f64 (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 M))) (.f64 (cos.f64 (.f64 K (*.f64 n 1/2))) (cos.f64 M)))
(fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M))) (cbrt.f64 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M)))) (cbrt.f64 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M))) (.f64 (sin.f64 (.f64 K (*.f64 n 1/2))) (sin.f64 M)))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 M))) (sqrt.f64 (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (sin.f64 M))) (.f64 (cos.f64 (.f64 K (*.f64 n 1/2))) (cos.f64 M)))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M))) (sqrt.f64 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (cos.f64 M))) (.f64 (sin.f64 (.f64 K (*.f64 n 1/2))) (sin.f64 M)))
(+.f64 (log.f64 (.f64 K (.f64 n 1/2))) 0)
(+.f64 (log.f64 1/2) (log.f64 (*.f64 K n)))
(+.f64 (log.f64 n) (log.f64 (*.f64 1/2 K)))
(+.f64 (log.f64 (*.f64 n 1/2)) (log.f64 K))
(+.f64 (log.f64 K) (log.f64 (*.f64 n 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 K (.f64 n 1/2))) 2)) (log.f64 (cbrt.f64 (.f64 K (.f64 n 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (.f64 n 1/2))) (log.f64 (.f64 (sqrt.f64 (*.f64 n 1/2)) K)))
(+.f64 (log.f64 (cbrt.f64 (.f64 K (.f64 n 1/2)))) (log.f64 (pow.f64 (cbrt.f64 (.f64 K (.f64 n 1/2))) 2)))
(+.f64 (log.f64 (sqrt.f64 K)) (log.f64 (.f64 (sqrt.f64 K) (.f64 n 1/2))))
(+.f64 0 (log.f64 (.f64 K (.f64 n 1/2))))
(+.f64 (log.f64 (*.f64 K n)) (log.f64 1/2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 K) 2)) (log.f64 (.f64 (cbrt.f64 K) (.f64 n 1/2))))
(+.f64 (log.f64 (sqrt.f64 (.f64 K (.f64 n 1/2)))) (log.f64 (sqrt.f64 (.f64 K (.f64 n 1/2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 n 1/2)) 2)) (log.f64 (.f64 (cbrt.f64 (*.f64 n 1/2)) K)))
(+.f64 (.f64 (log.f64 K) 1) (.f64 (log.f64 (*.f64 n 1/2)) 1))
(+.f64 (log.f64 (*.f64 K 1/2)) (log.f64 n))
(+.f64 (log.f64 (.f64 K (pow.f64 (cbrt.f64 (.f64 n 1/2)) 2))) (log.f64 (cbrt.f64 (*.f64 n 1/2))))
(+.f64 (log.f64 (.f64 K (sqrt.f64 (.f64 n 1/2)))) (log.f64 (sqrt.f64 (*.f64 n 1/2))))
(+.f64 (log.f64 (.f64 (.f64 n 1/2) (pow.f64 (cbrt.f64 K) 2))) (log.f64 (cbrt.f64 K)))
(+.f64 (log.f64 (.f64 (.f64 n 1/2) (sqrt.f64 K))) (log.f64 (sqrt.f64 K)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (.f64 K (.f64 n 1/2))))) 1)
(.f64 3 (.f64 (log.f64 (.f64 K (.f64 n 1/2))) 1/3))
(.f64 (.f64 3 (log.f64 (.f64 K (.f64 n 1/2)))) 1/3)
(.f64 1/3 (.f64 3 (log.f64 (.f64 K (.f64 n 1/2)))))
(.f64 (log.f64 (.f64 K (*.f64 n 1/2))) 1)
(.f64 1 (log.f64 (.f64 K (*.f64 n 1/2))))
(.f64 (cbrt.f64 (log.f64 (.f64 K (.f64 n 1/2)))) (cbrt.f64 (pow.f64 (log.f64 (.f64 K (*.f64 n 1/2))) 2)))
(.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 K (.f64 n 1/2))) 2)) (cbrt.f64 (log.f64 (.f64 K (*.f64 n 1/2)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 (.f64 K (.f64 n 1/2))) 2) 9)) (.f64 (cbrt.f64 (.f64 3 (log.f64 (.f64 K (.f64 n 1/2))))) 1/3))
(.f64 (sqrt.f64 (log.f64 (.f64 K (.f64 n 1/2)))) (sqrt.f64 (log.f64 (.f64 K (*.f64 n 1/2)))))
(.f64 (sqrt.f64 (.f64 3 (log.f64 (.f64 K (.f64 n 1/2))))) (.f64 (sqrt.f64 (.f64 3 (log.f64 (.f64 K (.f64 n 1/2))))) 1/3))
(.f64 (.f64 1/3 (log.f64 (.f64 K (.f64 n 1/2)))) 3)
(.f64 (.f64 1/3 (cbrt.f64 (.f64 (pow.f64 (log.f64 (.f64 K (.f64 n 1/2))) 2) 9))) (cbrt.f64 (.f64 3 (log.f64 (.f64 K (.f64 n 1/2))))))
(.f64 (.f64 1/3 (sqrt.f64 (.f64 3 (log.f64 (.f64 K (.f64 n 1/2)))))) (sqrt.f64 (.f64 3 (log.f64 (.f64 K (.f64 n 1/2))))))
(/.f64 (+.f64 (pow.f64 (log.f64 K) 3) (pow.f64 (log.f64 (.f64 n 1/2)) 3)) (fma.f64 (log.f64 K) (log.f64 K) (-.f64 (.f64 (log.f64 (.f64 n 1/2)) (log.f64 (.f64 n 1/2))) (.f64 (log.f64 K) (log.f64 (.f64 n 1/2))))))
(/.f64 (-.f64 (.f64 (log.f64 K) (log.f64 K)) (.f64 (log.f64 (.f64 n 1/2)) (log.f64 (.f64 n 1/2)))) (log.f64 (/.f64 K (*.f64 n 1/2))))
(pow.f64 (log.f64 (.f64 K (.f64 n 1/2))) 1)
(pow.f64 (cbrt.f64 (log.f64 (.f64 K (.f64 n 1/2)))) 3)
(pow.f64 (pow.f64 (log.f64 (.f64 K (.f64 n 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (.f64 K (.f64 n 1/2)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (.f64 K (.f64 n 1/2))) 2))
(cbrt.f64 (pow.f64 (log.f64 (.f64 K (.f64 n 1/2))) 3))
(expm1.f64 (log1p.f64 (log.f64 (.f64 K (.f64 n 1/2)))))
(exp.f64 (log.f64 (log.f64 (.f64 K (.f64 n 1/2)))))
(exp.f64 (.f64 (log.f64 (log.f64 (.f64 K (*.f64 n 1/2)))) 1))
(log1p.f64 (fma.f64 K (*.f64 n 1/2) -1))
(fma.f64 1 (log.f64 (*.f64 n 1/2)) (log.f64 K))
(fma.f64 1 (log.f64 K) (log.f64 (*.f64 n 1/2)))
(fma.f64 (log.f64 K) 1 (.f64 (log.f64 (.f64 n 1/2)) 1))
(fma.f64 (.f64 (cbrt.f64 (log.f64 (.f64 n 1/2))) (cbrt.f64 (log.f64 (.f64 n 1/2)))) (cbrt.f64 (log.f64 (.f64 n 1/2))) (log.f64 K))
(fma.f64 (.f64 (cbrt.f64 (log.f64 K)) (cbrt.f64 (log.f64 K))) (cbrt.f64 (log.f64 K)) (log.f64 (.f64 n 1/2)))
(fma.f64 (sqrt.f64 (log.f64 (.f64 n 1/2))) (sqrt.f64 (log.f64 (.f64 n 1/2))) (log.f64 K))
(fma.f64 (sqrt.f64 (log.f64 K)) (sqrt.f64 (log.f64 K)) (log.f64 (*.f64 n 1/2)))
(+.f64 0 (.f64 K (.f64 n 1/2)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 K) (.f64 n 1/2))) (cbrt.f64 (pow.f64 (exp.f64 K) (.f64 n 1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 K) (.f64 n 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 K) (.f64 n 1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 K) (.f64 n 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 K (.f64 n 1/2)))) 1)
(.f64 K (.f64 n 1/2))
(.f64 n (.f64 1/2 K))
(.f64 1/2 (.f64 K n))
(.f64 (.f64 n 1/2) K)
(.f64 (.f64 K (*.f64 n 1/2)) 1)
(.f64 1 (.f64 K (*.f64 n 1/2)))
(.f64 (cbrt.f64 (.f64 K (.f64 n 1/2))) (pow.f64 (cbrt.f64 (.f64 K (*.f64 n 1/2))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 K (.f64 n 1/2))) 2) (cbrt.f64 (.f64 K (*.f64 n 1/2))))
(.f64 (pow.f64 (cbrt.f64 (.f64 n 1/2)) 2) (.f64 (cbrt.f64 (.f64 n 1/2)) K))
(.f64 (pow.f64 (cbrt.f64 K) 2) (.f64 (cbrt.f64 K) (*.f64 n 1/2)))
(.f64 (sqrt.f64 (.f64 K (.f64 n 1/2))) (sqrt.f64 (.f64 K (*.f64 n 1/2))))
(.f64 (sqrt.f64 (.f64 n 1/2)) (.f64 (sqrt.f64 (.f64 n 1/2)) K))
(.f64 (sqrt.f64 K) (.f64 (sqrt.f64 K) (*.f64 n 1/2)))
(.f64 (.f64 K n) 1/2)
(.f64 (.f64 K 1/2) n)
(.f64 (.f64 K (pow.f64 (cbrt.f64 (.f64 n 1/2)) 2)) (cbrt.f64 (.f64 n 1/2)))
(.f64 (.f64 K (sqrt.f64 (.f64 n 1/2))) (sqrt.f64 (.f64 n 1/2)))
(.f64 (.f64 (*.f64 n 1/2) (pow.f64 (cbrt.f64 K) 2)) (cbrt.f64 K))
(.f64 (.f64 (*.f64 n 1/2) (sqrt.f64 K)) (sqrt.f64 K))
(pow.f64 (.f64 K (.f64 n 1/2)) 1)
(pow.f64 (exp.f64 1/3) (.f64 3 (log.f64 (.f64 K (*.f64 n 1/2)))))
(pow.f64 (pow.f64 (.f64 K (.f64 n 1/2)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 K (.f64 n 1/2))) 3)
(pow.f64 (sqrt.f64 (.f64 K (.f64 n 1/2))) 2)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 K (.f64 n 1/2))) 2))) (cbrt.f64 (log.f64 (.f64 K (.f64 n 1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 K (.f64 n 1/2))))) (sqrt.f64 (log.f64 (.f64 K (.f64 n 1/2)))))
(pow.f64 (exp.f64 1) (log.f64 (.f64 K (.f64 n 1/2))))
(sqrt.f64 (pow.f64 (.f64 K (.f64 n 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 K) (*.f64 n 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 K (.f64 n 1/2)))))
(cbrt.f64 (pow.f64 (.f64 K (.f64 n 1/2)) 3))
(cbrt.f64 (.f64 (pow.f64 K 3) (pow.f64 (.f64 n 1/2) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 n 1/2) 3) (pow.f64 K 3)))
(expm1.f64 (log1p.f64 (.f64 K (.f64 n 1/2))))
(log1p.f64 (expm1.f64 (.f64 K (.f64 n 1/2))))
(+.f64 (log.f64 (.f64 K (.f64 n 1/2))) 0)
(+.f64 (log.f64 1/2) (log.f64 (*.f64 K n)))
(+.f64 (log.f64 n) (log.f64 (*.f64 1/2 K)))
(+.f64 (log.f64 (*.f64 n 1/2)) (log.f64 K))
(+.f64 (log.f64 K) (log.f64 (*.f64 n 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 K (.f64 n 1/2))) 2)) (log.f64 (cbrt.f64 (.f64 K (.f64 n 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (.f64 n 1/2))) (log.f64 (.f64 (sqrt.f64 (*.f64 n 1/2)) K)))
(+.f64 (log.f64 (cbrt.f64 (.f64 K (.f64 n 1/2)))) (log.f64 (pow.f64 (cbrt.f64 (.f64 K (.f64 n 1/2))) 2)))
(+.f64 (log.f64 (sqrt.f64 K)) (log.f64 (.f64 (sqrt.f64 K) (.f64 n 1/2))))
(+.f64 0 (log.f64 (.f64 K (.f64 n 1/2))))
(+.f64 (log.f64 (*.f64 K n)) (log.f64 1/2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 K) 2)) (log.f64 (.f64 (cbrt.f64 K) (.f64 n 1/2))))
(+.f64 (log.f64 (sqrt.f64 (.f64 K (.f64 n 1/2)))) (log.f64 (sqrt.f64 (.f64 K (.f64 n 1/2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 n 1/2)) 2)) (log.f64 (.f64 (cbrt.f64 (*.f64 n 1/2)) K)))
(+.f64 (.f64 (log.f64 K) 1) (.f64 (log.f64 (*.f64 n 1/2)) 1))
(+.f64 (log.f64 (*.f64 K 1/2)) (log.f64 n))
(+.f64 (log.f64 (.f64 K (pow.f64 (cbrt.f64 (.f64 n 1/2)) 2))) (log.f64 (cbrt.f64 (*.f64 n 1/2))))
(+.f64 (log.f64 (.f64 K (sqrt.f64 (.f64 n 1/2)))) (log.f64 (sqrt.f64 (*.f64 n 1/2))))
(+.f64 (log.f64 (.f64 (.f64 n 1/2) (pow.f64 (cbrt.f64 K) 2))) (log.f64 (cbrt.f64 K)))
(+.f64 (log.f64 (.f64 (.f64 n 1/2) (sqrt.f64 K))) (log.f64 (sqrt.f64 K)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (.f64 K (.f64 n 1/2))))) 1)
(/.f64 (+.f64 (pow.f64 (log.f64 K) 3) (pow.f64 (log.f64 (.f64 n 1/2)) 3)) (fma.f64 (log.f64 K) (log.f64 K) (-.f64 (.f64 (log.f64 (.f64 n 1/2)) (log.f64 (.f64 n 1/2))) (.f64 (log.f64 K) (log.f64 (.f64 n 1/2))))))
(/.f64 (-.f64 (.f64 (log.f64 K) (log.f64 K)) (.f64 (log.f64 (.f64 n 1/2)) (log.f64 (.f64 n 1/2)))) (log.f64 (/.f64 K (*.f64 n 1/2))))
(pow.f64 (log.f64 (.f64 K (.f64 n 1/2))) 1)
(pow.f64 (cbrt.f64 (log.f64 (.f64 K (.f64 n 1/2)))) 3)
(pow.f64 (pow.f64 (log.f64 (.f64 K (.f64 n 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (.f64 K (.f64 n 1/2)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (.f64 K (.f64 n 1/2))) 2))
(log.f64 (.f64 K (.f64 n 1/2)))
(log.f64 (+.f64 1 (fma.f64 K (*.f64 n 1/2) -1)))
(cbrt.f64 (pow.f64 (log.f64 (.f64 K (.f64 n 1/2))) 3))
(expm1.f64 (log1p.f64 (log.f64 (.f64 K (.f64 n 1/2)))))
(exp.f64 (log.f64 (log.f64 (.f64 K (.f64 n 1/2)))))
(exp.f64 (.f64 (log.f64 (log.f64 (.f64 K (*.f64 n 1/2)))) 1))
(log1p.f64 (fma.f64 K (*.f64 n 1/2) -1))
(fma.f64 1 (log.f64 (*.f64 n 1/2)) (log.f64 K))
(fma.f64 1 (log.f64 K) (log.f64 (*.f64 n 1/2)))
(fma.f64 (log.f64 K) 1 (.f64 (log.f64 (.f64 n 1/2)) 1))
(fma.f64 (.f64 (cbrt.f64 (log.f64 (.f64 n 1/2))) (cbrt.f64 (log.f64 (.f64 n 1/2)))) (cbrt.f64 (log.f64 (.f64 n 1/2))) (log.f64 K))
(fma.f64 (.f64 (cbrt.f64 (log.f64 K)) (cbrt.f64 (log.f64 K))) (cbrt.f64 (log.f64 K)) (log.f64 (.f64 n 1/2)))
(fma.f64 (sqrt.f64 (log.f64 (.f64 n 1/2))) (sqrt.f64 (log.f64 (.f64 n 1/2))) (log.f64 K))
(fma.f64 (sqrt.f64 (log.f64 K)) (sqrt.f64 (log.f64 K)) (log.f64 (*.f64 n 1/2)))

Outputs
(cos.f64 (neg.f64 M))
(cos.f64 M)
(+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 n (*.f64 K (sin.f64 (neg.f64 M))))))
(+.f64 (cos.f64 M) (.f64 -1/2 (.f64 (*.f64 n K) (neg.f64 (sin.f64 M)))))
(fma.f64 -1/2 (.f64 n (neg.f64 (.f64 (sin.f64 M) K))) (cos.f64 M))
(fma.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M)))) (cos.f64 M))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 n 2) (pow.f64 K 2)))) (+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M)))))))
(fma.f64 -1/8 (.f64 (cos.f64 M) (.f64 (.f64 n n) (.f64 K K))) (+.f64 (cos.f64 M) (.f64 -1/2 (.f64 (*.f64 n K) (neg.f64 (sin.f64 M))))))
(fma.f64 -1/8 (.f64 (cos.f64 M) (.f64 (.f64 n K) (.f64 n K))) (fma.f64 -1/2 (.f64 n (neg.f64 (.f64 (sin.f64 M) K))) (cos.f64 M)))
(fma.f64 -1/8 (.f64 (cos.f64 M) (.f64 (.f64 n K) (.f64 n K))) (fma.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M)))) (cos.f64 M)))
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(log.f64 (.f64 n (.f64 K 1/2)))
(log.f64 (.f64 K (.f64 n 1/2)))
(log.f64 (.f64 1/2 (.f64 n K)))
(+.f64 (log.f64 1/2) (log.f64 (*.f64 K n)))
(log.f64 (.f64 n (.f64 K 1/2)))
(log.f64 (.f64 K (.f64 n 1/2)))
(log.f64 (.f64 1/2 (.f64 n K)))
(+.f64 (log.f64 n) (log.f64 (*.f64 1/2 K)))
(log.f64 (.f64 n (.f64 K 1/2)))
(log.f64 (.f64 K (.f64 n 1/2)))
(log.f64 (.f64 1/2 (.f64 n K)))
(+.f64 (log.f64 (*.f64 n 1/2)) (log.f64 K))
(log.f64 (.f64 n (.f64 K 1/2)))
(log.f64 (.f64 K (.f64 n 1/2)))
(log.f64 (.f64 1/2 (.f64 n K)))
(+.f64 (log.f64 K) (log.f64 (*.f64 n 1/2)))
(log.f64 (.f64 n (.f64 K 1/2)))
(log.f64 (.f64 K (.f64 n 1/2)))
(log.f64 (.f64 1/2 (.f64 n K)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 K (.f64 n 1/2))) 2)) (log.f64 (cbrt.f64 (.f64 K (.f64 n 1/2)))))
(log.f64 (.f64 n (.f64 K 1/2)))
(log.f64 (.f64 K (.f64 n 1/2)))
(log.f64 (.f64 1/2 (.f64 n K)))
(+.f64 (log.f64 (sqrt.f64 (.f64 n 1/2))) (log.f64 (.f64 (sqrt.f64 (*.f64 n 1/2)) K)))
(log.f64 (.f64 n (.f64 K 1/2)))
(log.f64 (.f64 K (.f64 n 1/2)))
(log.f64 (.f64 1/2 (.f64 n K)))
(+.f64 (log.f64 (cbrt.f64 (.f64 K (.f64 n 1/2)))) (log.f64 (pow.f64 (cbrt.f64 (.f64 K (.f64 n 1/2))) 2)))
(log.f64 (.f64 n (.f64 K 1/2)))
(log.f64 (.f64 K (.f64 n 1/2)))
(log.f64 (.f64 1/2 (.f64 n K)))
(+.f64 (log.f64 (sqrt.f64 K)) (log.f64 (.f64 (sqrt.f64 K) (.f64 n 1/2))))
(log.f64 (.f64 n (.f64 K 1/2)))
(log.f64 (.f64 K (.f64 n 1/2)))
(log.f64 (.f64 1/2 (.f64 n K)))
(+.f64 0 (log.f64 (.f64 K (.f64 n 1/2))))
(log.f64 (.f64 n (.f64 K 1/2)))
(log.f64 (.f64 K (.f64 n 1/2)))
(log.f64 (.f64 1/2 (.f64 n K)))
(+.f64 (log.f64 (*.f64 K n)) (log.f64 1/2))
(log.f64 (.f64 n (.f64 K 1/2)))
(log.f64 (.f64 K (.f64 n 1/2)))
(log.f64 (.f64 1/2 (.f64 n K)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 K) 2)) (log.f64 (.f64 (cbrt.f64 K) (.f64 n 1/2))))
(log.f64 (.f64 n (.f64 K 1/2)))
(log.f64 (.f64 K (.f64 n 1/2)))
(log.f64 (.f64 1/2 (.f64 n K)))
(+.f64 (log.f64 (sqrt.f64 (.f64 K (.f64 n 1/2)))) (log.f64 (sqrt.f64 (.f64 K (.f64 n 1/2)))))
(log.f64 (.f64 n (.f64 K 1/2)))
(log.f64 (.f64 K (.f64 n 1/2)))
(log.f64 (.f64 1/2 (.f64 n K)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 n 1/2)) 2)) (log.f64 (.f64 (cbrt.f64 (*.f64 n 1/2)) K)))
(log.f64 (.f64 n (.f64 K 1/2)))
(log.f64 (.f64 K (.f64 n 1/2)))
(log.f64 (.f64 1/2 (.f64 n K)))
(+.f64 (.f64 (log.f64 K) 1) (.f64 (log.f64 (*.f64 n 1/2)) 1))
(log.f64 (.f64 n (.f64 K 1/2)))
(log.f64 (.f64 K (.f64 n 1/2)))
(log.f64 (.f64 1/2 (.f64 n K)))
(+.f64 (log.f64 (*.f64 K 1/2)) (log.f64 n))
(log.f64 (.f64 n (.f64 K 1/2)))
(log.f64 (.f64 K (.f64 n 1/2)))
(log.f64 (.f64 1/2 (.f64 n K)))
(+.f64 (log.f64 (.f64 K (pow.f64 (cbrt.f64 (.f64 n 1/2)) 2))) (log.f64 (cbrt.f64 (*.f64 n 1/2))))
(log.f64 (.f64 n (.f64 K 1/2)))
(log.f64 (.f64 K (.f64 n 1/2)))
(log.f64 (.f64 1/2 (.f64 n K)))
(+.f64 (log.f64 (.f64 K (sqrt.f64 (.f64 n 1/2)))) (log.f64 (sqrt.f64 (*.f64 n 1/2))))
(log.f64 (.f64 n (.f64 K 1/2)))
(log.f64 (.f64 K (.f64 n 1/2)))
(log.f64 (.f64 1/2 (.f64 n K)))
(+.f64 (log.f64 (.f64 (.f64 n 1/2) (pow.f64 (cbrt.f64 K) 2))) (log.f64 (cbrt.f64 K)))
(log.f64 (.f64 n (.f64 K 1/2)))
(log.f64 (.f64 K (.f64 n 1/2)))
(log.f64 (.f64 1/2 (.f64 n K)))
(+.f64 (log.f64 (.f64 (.f64 n 1/2) (sqrt.f64 K))) (log.f64 (sqrt.f64 K)))
(log.f64 (.f64 n (.f64 K 1/2)))
(log.f64 (.f64 K (.f64 n 1/2)))
(log.f64 (.f64 1/2 (.f64 n K)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (.f64 K (.f64 n 1/2))))) 1)
(log.f64 (.f64 n (.f64 K 1/2)))
(log.f64 (.f64 K (.f64 n 1/2)))
(log.f64 (.f64 1/2 (.f64 n K)))
(/.f64 (+.f64 (pow.f64 (log.f64 K) 3) (pow.f64 (log.f64 (.f64 n 1/2)) 3)) (fma.f64 (log.f64 K) (log.f64 K) (-.f64 (.f64 (log.f64 (.f64 n 1/2)) (log.f64 (.f64 n 1/2))) (.f64 (log.f64 K) (log.f64 (.f64 n 1/2))))))
(/.f64 (+.f64 (pow.f64 (log.f64 K) 3) (pow.f64 (log.f64 (.f64 n 1/2)) 3)) (fma.f64 (log.f64 K) (log.f64 K) (.f64 (log.f64 (.f64 n 1/2)) (-.f64 (log.f64 (.f64 n 1/2)) (log.f64 K)))))
(/.f64 (-.f64 (.f64 (log.f64 K) (log.f64 K)) (.f64 (log.f64 (.f64 n 1/2)) (log.f64 (.f64 n 1/2)))) (log.f64 (/.f64 K (*.f64 n 1/2))))
(/.f64 (.f64 (log.f64 (.f64 n (.f64 K 1/2))) (log.f64 (/.f64 K (.f64 n 1/2)))) (log.f64 (/.f64 K (*.f64 n 1/2))))
(/.f64 (log.f64 (.f64 K (.f64 n 1/2))) (/.f64 (log.f64 (/.f64 K (.f64 n 1/2))) (log.f64 (/.f64 K (.f64 n 1/2)))))
(/.f64 (log.f64 (.f64 1/2 (.f64 n K))) 1)
(pow.f64 (log.f64 (.f64 K (.f64 n 1/2))) 1)
(log.f64 (.f64 n (.f64 K 1/2)))
(log.f64 (.f64 K (.f64 n 1/2)))
(log.f64 (.f64 1/2 (.f64 n K)))
(pow.f64 (cbrt.f64 (log.f64 (.f64 K (.f64 n 1/2)))) 3)
(log.f64 (.f64 n (.f64 K 1/2)))
(log.f64 (.f64 K (.f64 n 1/2)))
(log.f64 (.f64 1/2 (.f64 n K)))
(pow.f64 (pow.f64 (log.f64 (.f64 K (.f64 n 1/2))) 3) 1/3)
(log.f64 (.f64 n (.f64 K 1/2)))
(log.f64 (.f64 K (.f64 n 1/2)))
(log.f64 (.f64 1/2 (.f64 n K)))
(pow.f64 (sqrt.f64 (log.f64 (.f64 K (.f64 n 1/2)))) 2)
(log.f64 (.f64 n (.f64 K 1/2)))
(log.f64 (.f64 K (.f64 n 1/2)))
(log.f64 (.f64 1/2 (.f64 n K)))
(sqrt.f64 (pow.f64 (log.f64 (.f64 K (.f64 n 1/2))) 2))
(log.f64 (.f64 n (.f64 K 1/2)))
(log.f64 (.f64 K (.f64 n 1/2)))
(log.f64 (.f64 1/2 (.f64 n K)))
(log.f64 (.f64 K (.f64 n 1/2)))
(log.f64 (.f64 n (.f64 K 1/2)))
(log.f64 (.f64 1/2 (.f64 n K)))
(log.f64 (+.f64 1 (fma.f64 K (*.f64 n 1/2) -1)))
(log.f64 (.f64 n (.f64 K 1/2)))
(log.f64 (.f64 K (.f64 n 1/2)))
(log.f64 (.f64 1/2 (.f64 n K)))
(cbrt.f64 (pow.f64 (log.f64 (.f64 K (.f64 n 1/2))) 3))
(log.f64 (.f64 n (.f64 K 1/2)))
(log.f64 (.f64 K (.f64 n 1/2)))
(log.f64 (.f64 1/2 (.f64 n K)))
(expm1.f64 (log1p.f64 (log.f64 (.f64 K (.f64 n 1/2)))))
(log.f64 (.f64 n (.f64 K 1/2)))
(log.f64 (.f64 K (.f64 n 1/2)))
(log.f64 (.f64 1/2 (.f64 n K)))
(exp.f64 (log.f64 (log.f64 (.f64 K (.f64 n 1/2)))))
(log.f64 (.f64 n (.f64 K 1/2)))
(log.f64 (.f64 K (.f64 n 1/2)))
(log.f64 (.f64 1/2 (.f64 n K)))
(exp.f64 (.f64 (log.f64 (log.f64 (.f64 K (*.f64 n 1/2)))) 1))
(log.f64 (.f64 n (.f64 K 1/2)))
(log.f64 (.f64 K (.f64 n 1/2)))
(log.f64 (.f64 1/2 (.f64 n K)))
(log1p.f64 (fma.f64 K (*.f64 n 1/2) -1))
(log.f64 (.f64 n (.f64 K 1/2)))
(log.f64 (.f64 K (.f64 n 1/2)))
(log.f64 (.f64 1/2 (.f64 n K)))
(fma.f64 1 (log.f64 (*.f64 n 1/2)) (log.f64 K))
(log.f64 (.f64 n (.f64 K 1/2)))
(log.f64 (.f64 K (.f64 n 1/2)))
(log.f64 (.f64 1/2 (.f64 n K)))
(fma.f64 1 (log.f64 K) (log.f64 (*.f64 n 1/2)))
(log.f64 (.f64 n (.f64 K 1/2)))
(log.f64 (.f64 K (.f64 n 1/2)))
(log.f64 (.f64 1/2 (.f64 n K)))
(fma.f64 (log.f64 K) 1 (.f64 (log.f64 (.f64 n 1/2)) 1))
(log.f64 (.f64 n (.f64 K 1/2)))
(log.f64 (.f64 K (.f64 n 1/2)))
(log.f64 (.f64 1/2 (.f64 n K)))
(fma.f64 (.f64 (cbrt.f64 (log.f64 (.f64 n 1/2))) (cbrt.f64 (log.f64 (.f64 n 1/2)))) (cbrt.f64 (log.f64 (.f64 n 1/2))) (log.f64 K))
(log.f64 (.f64 n (.f64 K 1/2)))
(log.f64 (.f64 K (.f64 n 1/2)))
(log.f64 (.f64 1/2 (.f64 n K)))
(fma.f64 (.f64 (cbrt.f64 (log.f64 K)) (cbrt.f64 (log.f64 K))) (cbrt.f64 (log.f64 K)) (log.f64 (.f64 n 1/2)))
(log.f64 (.f64 n (.f64 K 1/2)))
(log.f64 (.f64 K (.f64 n 1/2)))
(log.f64 (.f64 1/2 (.f64 n K)))
(fma.f64 (sqrt.f64 (log.f64 (.f64 n 1/2))) (sqrt.f64 (log.f64 (.f64 n 1/2))) (log.f64 K))
(log.f64 (.f64 n (.f64 K 1/2)))
(log.f64 (.f64 K (.f64 n 1/2)))
(log.f64 (.f64 1/2 (.f64 n K)))
(fma.f64 (sqrt.f64 (log.f64 K)) (sqrt.f64 (log.f64 K)) (log.f64 (*.f64 n 1/2)))
(log.f64 (.f64 n (.f64 K 1/2)))
(log.f64 (.f64 K (.f64 n 1/2)))
(log.f64 (.f64 1/2 (.f64 n K)))

eval766.0ms (2.8%)

Compiler: Compiled 40159 to 19211 computations (52.2% saved)

prune318.0ms (1.2%)

Pruning

36 alts after pruning (34 fresh and 2 done)

	Pruned	Kept	Total
New	1135	27	1162
Fresh	11	7	18
Picked	0	1	1
Done	3	1	4
Total	1149	36	1185

Accurracy

92.4%

Counts

1185 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.8%	(pow.f64 (cbrt.f64 (/.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) (exp.f64 l))) 3)
	17.3%	(/.f64 (fma.f64 (cos.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 (.f64 K 1/2) (+.f64 n m)) M)))) (cos.f64 1) (.f64 (sin.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 (*.f64 K 1/2) (+.f64 n m)) M)))) (sin.f64 1))) (exp.f64 l))
	44.9%	(/.f64 (+.f64 (.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) 1)) (cos.f64 (+.f64 1 M))) (.f64 (sin.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) 1)) (sin.f64 (+.f64 1 M)))) (exp.f64 (+.f64 (*.f64 M M) (-.f64 l (fabs.f64 (-.f64 n m))))))
	27.5%	(/.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (*.f64 K m)))) (exp.f64 l))
▶	80.7%	(/.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M)))))) (exp.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m))))))
	27.8%	(/.f64 (expm1.f64 (log1p.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M))))) (exp.f64 l))
	27.8%	(/.f64 (cos.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) 1/2)) 2) (.f64 (cbrt.f64 (*.f64 (+.f64 m n) 1/2)) K) (neg.f64 M))) (exp.f64 l))
	13.1%	(/.f64 (cos.f64 (-.f64 (pow.f64 (sqrt.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) 2) M)) (exp.f64 l))
	27.8%	(/.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 l))
▶	27.7%	(/.f64 (cos.f64 (-.f64 (/.f64 1 (/.f64 2 (*.f64 K (+.f64 m n)))) M)) (exp.f64 l))
	30.1%	(/.f64 (cos.f64 (-.f64 (.f64 (.f64 K 1/2) m) M)) (exp.f64 l))
	19.3%	(/.f64 (cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 m n) 2)) M)) (exp.f64 (+.f64 l (-.f64 m n))))
	41.9%	(/.f64 (cos.f64 (-.f64 (.f64 K (/.f64 (+.f64 m n) 2)) M)) (exp.f64 (.f64 M M)))
	72.5%	(/.f64 (cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 m n) 2)) M)) (exp.f64 (sqrt.f64 (pow.f64 (-.f64 (fma.f64 M M l) (-.f64 n m)) 2))))
	44.4%	(/.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (exp.f64 (+.f64 (.f64 (.f64 n n) 1/4) (-.f64 l (fabs.f64 (-.f64 n m))))))
	29.6%	(/.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (exp.f64 l))
	12.1%	(/.f64 (cos.f64 (-.f64 (expm1.f64 (-.f64 (log.f64 (.f64 -1/2 (+.f64 n m))) (log.f64 (/.f64 -1 K)))) M)) (exp.f64 (+.f64 (.f64 M M) (-.f64 l (fabs.f64 (-.f64 n m))))))
▶	14.7%	(/.f64 (cos.f64 (-.f64 (expm1.f64 (+.f64 (log.f64 (.f64 K 1/2)) (log.f64 n))) M)) (exp.f64 (+.f64 (.f64 M M) (-.f64 l (fabs.f64 (-.f64 n m))))))
▶	20.0%	(/.f64 (cos.f64 (-.f64 (expm1.f64 (log1p.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))) M)) (exp.f64 l))
	32.7%	(/.f64 (cos.f64 (-.f64 (expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (.f64 1/2 (.f64 K (+.f64 m n))))))) M)) (exp.f64 (+.f64 (*.f64 M M) (-.f64 l (fabs.f64 (-.f64 n m))))))
✓	45.1%	(/.f64 (cos.f64 (-.f64 (exp.f64 (.f64 (.f64 (log.f64 (.f64 K (.f64 n 1/2))) 3) 1/3)) M)) (exp.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m))))))
	27.8%	(/.f64 (cos.f64 (.f64 (+.f64 n m) (.f64 K 1/2))) (exp.f64 l))
✓	54.3%	(/.f64 (cos.f64 M) (exp.f64 (+.f64 (.f64 (.f64 n n) 1/4) (-.f64 l (fabs.f64 (-.f64 n m))))))
	56.0%	(/.f64 (cos.f64 M) (exp.f64 (+.f64 (.f64 (.f64 m m) 1/4) (-.f64 l (fabs.f64 (-.f64 n m))))))
	49.1%	(/.f64 (cos.f64 M) (exp.f64 (+.f64 (*.f64 M M) (-.f64 l (fabs.f64 (-.f64 n m))))))
	59.4%	(/.f64 (cos.f64 M) (exp.f64 (+.f64 (log1p.f64 (expm1.f64 (.f64 n (.f64 n 1/4)))) (-.f64 l (fabs.f64 (-.f64 n m))))))
	62.7%	(/.f64 (cos.f64 M) (exp.f64 (+.f64 (log1p.f64 (expm1.f64 (.f64 m (.f64 m 1/4)))) (-.f64 l (fabs.f64 (-.f64 n m))))))
	33.1%	(/.f64 (cos.f64 M) (exp.f64 l))
	5.1%	(+.f64 (fma.f64 -1 (fma.f64 (fma.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) -1/3 (.f64 1/2 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))) (pow.f64 l 3) (.f64 l (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))) (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) (.f64 1/2 (.f64 l l)))) (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M)))
	5.1%	(+.f64 (fma.f64 -1 (.f64 (.f64 l l) (.f64 -1/2 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)))) (fma.f64 -1 (.f64 (fma.f64 -1 (.f64 -1/2 (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)) -1/3)) (pow.f64 l 3)) (.f64 (neg.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))) l))) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) M)))
	5.1%	(+.f64 (.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 n m) 1/2) (neg.f64 M))) (-.f64 1 l)) (.f64 (.f64 l l) (-.f64 (.f64 1/2 (cos.f64 (fma.f64 K (.f64 (+.f64 n m) 1/2) (neg.f64 M)))) (.f64 l (.f64 1/6 (cos.f64 (fma.f64 K (*.f64 (+.f64 n m) 1/2) (neg.f64 M))))))))
	5.2%	(+.f64 (.f64 -1 (+.f64 (.f64 (.f64 l l) (.f64 -1/2 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)))) (.f64 l (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))))) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) M)))
	27.8%	(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M))))
	5.8%	(.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 n m) 1/2) (neg.f64 M))) (-.f64 1 l))
	28.0%	(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 n m) 1/2) (neg.f64 M))) (exp.f64 l))))))
▶	5.9%	(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))

Compiler

Compiled 1974 to 1373 computations (30.4% saved)

localize725.0ms (2.6%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M))))))
✓	98.8%	(cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))
✓	98.6%	(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))))
✓	55.3%	(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))

Compiler

Compiled 181 to 99 computations (45.3% saved)

series597.0ms (2.2%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
281.0ms	n	@	-inf	(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M))))))
115.0ms	M	@	-inf	(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))))
55.0ms	n	@	-inf	(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))))
54.0ms	K	@	0	(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
21.0ms	M	@	inf	(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))))

rewrite103.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1668×	`prod-diff`
1484×	`log-prod`
764×	`fma-def`
568×	`expm1-udef`
566×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	112
1	328	106
2	4107	106

Stop Event

1×	node limit

Counts

4 → 163

Calls

Call 1

Inputs
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(log.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))))
(cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))
(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M))))))

Outputs
(+.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) 0)
(+.f64 (.f64 1/3 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M)))) 2)))
(+.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M)) (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M)))
(+.f64 (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M)) (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))))
(+.f64 0 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) 2)) (.f64 1/3 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M))))
(+.f64 (.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M)) 1) (.f64 (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M)) 1))
(+.f64 (fma.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M) (neg.f64 (.f64 (neg.f64 (sin.f64 M)) (sin.f64 (.f64 n (.f64 K 1/2)))))) (fma.f64 (neg.f64 (neg.f64 (sin.f64 M))) (sin.f64 (.f64 n (.f64 K 1/2))) (.f64 (neg.f64 (sin.f64 M)) (sin.f64 (.f64 n (.f64 K 1/2))))))
(+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) (sin.f64 1)))
(+.f64 (.f64 (cos.f64 (/.f64 (.f64 (pow.f64 (.f64 n K) 3) 1/8) (fma.f64 M (fma.f64 n (.f64 K 1/2) M) (pow.f64 (.f64 n (.f64 K 1/2)) 2)))) (cos.f64 (/.f64 (pow.f64 M 3) (fma.f64 M (fma.f64 n (.f64 K 1/2) M) (pow.f64 (.f64 n (.f64 K 1/2)) 2))))) (.f64 (sin.f64 (/.f64 (.f64 (pow.f64 (.f64 n K) 3) 1/8) (fma.f64 M (fma.f64 n (.f64 K 1/2) M) (pow.f64 (.f64 n (.f64 K 1/2)) 2)))) (sin.f64 (/.f64 (pow.f64 M 3) (fma.f64 M (fma.f64 n (.f64 K 1/2) M) (pow.f64 (.f64 n (.f64 K 1/2)) 2))))))
(+.f64 (.f64 (cos.f64 (/.f64 (pow.f64 (.f64 n (.f64 K 1/2)) 2) (fma.f64 n (.f64 K 1/2) M))) (cos.f64 (/.f64 (.f64 M M) (fma.f64 n (.f64 K 1/2) M)))) (.f64 (sin.f64 (/.f64 (pow.f64 (.f64 n (.f64 K 1/2)) 2) (fma.f64 n (.f64 K 1/2) M))) (sin.f64 (/.f64 (.f64 M M) (fma.f64 n (.f64 K 1/2) M)))))
(+.f64 (log.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) 2) 1)) (.f64 1/3 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))
(+.f64 (log.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))) 2))) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M)))))))
(+.f64 (log.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) 2) (pow.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))) 1/6))) (log.f64 (pow.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M))) 1/6)))
(-.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M)) (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (neg.f64 (sin.f64 M))))
(-.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M)) (.f64 (neg.f64 (sin.f64 M)) (sin.f64 (.f64 n (.f64 K 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) 1)
(-.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 (neg.f64 M) 1))) (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 (.f64 (neg.f64 M) 1))))
(-.f64 (.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) (cos.f64 (fma.f64 (neg.f64 M) 1 M))) (.f64 (sin.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) (sin.f64 (fma.f64 (neg.f64 M) 1 M))))
(-.f64 (.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) 2) M))) (.f64 (sin.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) 2) M))))
(-.f64 (.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) (cos.f64 (+.f64 (neg.f64 M) M))) (.f64 (sin.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) (sin.f64 (+.f64 (neg.f64 M) M))))
(.f64 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M)) 1)
(.f64 (.f64 1/3 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))) 3)
(.f64 3 (.f64 1/3 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))
(.f64 1 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M)))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) 2) (.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) 3))
(.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M))) 2))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))) 2) (cbrt.f64 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M))))
(.f64 (sqrt.f64 (.f64 1/3 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) (.f64 (sqrt.f64 (.f64 1/3 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) 3))
(.f64 (sqrt.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))) (sqrt.f64 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M))))
(.f64 (.f64 3 (pow.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) 2)) (cbrt.f64 (.f64 1/3 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))))
(.f64 (.f64 3 (sqrt.f64 (.f64 1/3 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))) (sqrt.f64 (.f64 1/3 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M)) 3) (pow.f64 (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M)) 3)) (fma.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M)) (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M)) (-.f64 (.f64 (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M)) (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M))) (.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M)) (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M))))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M)) (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M))) (.f64 (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M)) (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M)))) (cos.f64 (fma.f64 n (*.f64 K 1/2) M)))
(pow.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) 1)
(pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))) 3)
(pow.f64 (pow.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) 2))
(log.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))))
(log.f64 (.f64 (exp.f64 (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M))) (exp.f64 (.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (cos.f64 M)))))
(log.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) 2) (+.f64 1 (expm1.f64 (.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) 1/3)))))
(cbrt.f64 (pow.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) 3))
(expm1.f64 (log1p.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))
(exp.f64 (log.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))
(exp.f64 (.f64 (log.f64 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))
(fma.f64 1 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M)) (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M)))
(fma.f64 1 (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M)) (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M)))
(fma.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M) (.f64 (sin.f64 (.f64 n (*.f64 K 1/2))) (sin.f64 M)))
(fma.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M) (neg.f64 (.f64 (sin.f64 (.f64 n (*.f64 K 1/2))) (neg.f64 (sin.f64 M)))))
(fma.f64 (cos.f64 M) (cos.f64 (.f64 n (.f64 K 1/2))) (.f64 (sin.f64 (.f64 n (*.f64 K 1/2))) (sin.f64 M)))
(fma.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M)) 1 (.f64 (.f64 (sin.f64 (.f64 n (*.f64 K 1/2))) (sin.f64 M)) 1))
(fma.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M) (.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (cos.f64 M)))
(fma.f64 (sin.f64 M) (sin.f64 (.f64 n (.f64 K 1/2))) (.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (cos.f64 M)))
(fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M))) (cbrt.f64 (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M)))) (cbrt.f64 (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M))) (.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (cos.f64 M)))
(fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M))) (cbrt.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M)))) (cbrt.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M))) (.f64 (sin.f64 (.f64 n (*.f64 K 1/2))) (sin.f64 M)))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M))) (sqrt.f64 (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M))) (.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (cos.f64 M)))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M))) (sqrt.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M))) (.f64 (sin.f64 (.f64 n (*.f64 K 1/2))) (sin.f64 M)))
(+.f64 (.f64 1/3 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M))) 0)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))))))
(+.f64 0 (.f64 1/3 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M))))
(+.f64 (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))))) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))) 2)))
(+.f64 (log.f64 (pow.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))) 1/6)) (log.f64 (pow.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))) 1/6)))
(+.f64 (log.f64 (pow.f64 1 1/3)) (.f64 1/3 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M))))
(+.f64 (log.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) 2) 1/3)) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))))))
(+.f64 (log.f64 (pow.f64 (sqrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) 1/3)) (log.f64 (pow.f64 (sqrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) 1/3)))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/3 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M))))) 1)
(.f64 (.f64 1/3 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))) 1)
(.f64 1 (.f64 1/3 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))
(.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) (pow.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M)))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) 2) (cbrt.f64 (.f64 1/3 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M)))))
(.f64 (sqrt.f64 (.f64 1/3 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) (sqrt.f64 (.f64 1/3 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M)))))
(.f64 1/3 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M)))
(pow.f64 (.f64 1/3 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M))) 1)
(pow.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M)))) 3)
(pow.f64 (pow.f64 (.f64 1/3 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 1/3 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M)))) 2)
(sqrt.f64 (pow.f64 (.f64 1/3 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M))) 2))
(cbrt.f64 (pow.f64 (.f64 1/3 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M))) 3))
(expm1.f64 (log1p.f64 (.f64 1/3 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M)))))
(exp.f64 (log.f64 (.f64 1/3 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M)))))
(exp.f64 (.f64 (log.f64 (.f64 1/3 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) 1))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M)) 1/3)))
(+.f64 0 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))))) (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))))) 1)
(.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M)))) 1)
(.f64 1 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M)))))
(.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M))))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))) 2) (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M))))))
(.f64 (pow.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))) 1/6) (pow.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M))) 1/6))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M))))))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) 1/3) (pow.f64 (sqrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M)))) 1/3))
(pow.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))) 1/3)
(pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))) 3)
(pow.f64 (pow.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))) 1/6) 2)
(pow.f64 (exp.f64 1) (.f64 1/3 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) 2)) (cbrt.f64 (.f64 1/3 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 1/3 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))) (sqrt.f64 (.f64 1/3 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))))
(sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) 2))
(log.f64 (exp.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))))
(exp.f64 (.f64 1/3 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M))))
(exp.f64 (.f64 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M)) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))))
(+.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) 0)
(+.f64 (.f64 1/3 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M)))) 2)))
(+.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M)) (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M)))
(+.f64 (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M)) (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))))
(+.f64 0 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) 2)) (.f64 1/3 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M))))
(+.f64 (.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M)) 1) (.f64 (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M)) 1))
(+.f64 (fma.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M) (neg.f64 (.f64 (neg.f64 (sin.f64 M)) (sin.f64 (.f64 n (.f64 K 1/2)))))) (fma.f64 (neg.f64 (neg.f64 (sin.f64 M))) (sin.f64 (.f64 n (.f64 K 1/2))) (.f64 (neg.f64 (sin.f64 M)) (sin.f64 (.f64 n (.f64 K 1/2))))))
(+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) (sin.f64 1)))
(+.f64 (.f64 (cos.f64 (/.f64 (.f64 (pow.f64 (.f64 n K) 3) 1/8) (fma.f64 M (fma.f64 n (.f64 K 1/2) M) (pow.f64 (.f64 n (.f64 K 1/2)) 2)))) (cos.f64 (/.f64 (pow.f64 M 3) (fma.f64 M (fma.f64 n (.f64 K 1/2) M) (pow.f64 (.f64 n (.f64 K 1/2)) 2))))) (.f64 (sin.f64 (/.f64 (.f64 (pow.f64 (.f64 n K) 3) 1/8) (fma.f64 M (fma.f64 n (.f64 K 1/2) M) (pow.f64 (.f64 n (.f64 K 1/2)) 2)))) (sin.f64 (/.f64 (pow.f64 M 3) (fma.f64 M (fma.f64 n (.f64 K 1/2) M) (pow.f64 (.f64 n (.f64 K 1/2)) 2))))))
(+.f64 (.f64 (cos.f64 (/.f64 (pow.f64 (.f64 n (.f64 K 1/2)) 2) (fma.f64 n (.f64 K 1/2) M))) (cos.f64 (/.f64 (.f64 M M) (fma.f64 n (.f64 K 1/2) M)))) (.f64 (sin.f64 (/.f64 (pow.f64 (.f64 n (.f64 K 1/2)) 2) (fma.f64 n (.f64 K 1/2) M))) (sin.f64 (/.f64 (.f64 M M) (fma.f64 n (.f64 K 1/2) M)))))
(+.f64 (log.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) 2) 1)) (.f64 1/3 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))
(+.f64 (log.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))) 2))) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M)))))))
(+.f64 (log.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) 2) (pow.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))) 1/6))) (log.f64 (pow.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M))) 1/6)))
(-.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M)) (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (neg.f64 (sin.f64 M))))
(-.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M)) (.f64 (neg.f64 (sin.f64 M)) (sin.f64 (.f64 n (.f64 K 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) 1)
(-.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 (neg.f64 M) 1))) (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 (.f64 (neg.f64 M) 1))))
(-.f64 (.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) (cos.f64 (fma.f64 (neg.f64 M) 1 M))) (.f64 (sin.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) (sin.f64 (fma.f64 (neg.f64 M) 1 M))))
(-.f64 (.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) 2) M))) (.f64 (sin.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) 2) M))))
(-.f64 (.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) (cos.f64 (+.f64 (neg.f64 M) M))) (.f64 (sin.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) (sin.f64 (+.f64 (neg.f64 M) M))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M)) 3) (pow.f64 (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M)) 3)) (fma.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M)) (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M)) (-.f64 (.f64 (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M)) (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M))) (.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M)) (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M))))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M)) (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M))) (.f64 (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M)) (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M)))) (cos.f64 (fma.f64 n (*.f64 K 1/2) M)))
(pow.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) 1)
(pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))) 3)
(pow.f64 (pow.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) 2))
(log.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))))
(log.f64 (.f64 (exp.f64 (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M))) (exp.f64 (.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (cos.f64 M)))))
(log.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) 2) (+.f64 1 (expm1.f64 (.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) 1/3)))))
(cbrt.f64 (pow.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) 3))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(expm1.f64 (log1p.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))
(exp.f64 (log.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))
(exp.f64 (.f64 (log.f64 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))
(fma.f64 1 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M)) (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M)))
(fma.f64 1 (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M)) (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M)))
(fma.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M) (.f64 (sin.f64 (.f64 n (*.f64 K 1/2))) (sin.f64 M)))
(fma.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M) (neg.f64 (.f64 (sin.f64 (.f64 n (*.f64 K 1/2))) (neg.f64 (sin.f64 M)))))
(fma.f64 (cos.f64 M) (cos.f64 (.f64 n (.f64 K 1/2))) (.f64 (sin.f64 (.f64 n (*.f64 K 1/2))) (sin.f64 M)))
(fma.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M)) 1 (.f64 (.f64 (sin.f64 (.f64 n (*.f64 K 1/2))) (sin.f64 M)) 1))
(fma.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M) (.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (cos.f64 M)))
(fma.f64 (sin.f64 M) (sin.f64 (.f64 n (.f64 K 1/2))) (.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (cos.f64 M)))
(fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M))) (cbrt.f64 (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M)))) (cbrt.f64 (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M))) (.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (cos.f64 M)))
(fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M))) (cbrt.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M)))) (cbrt.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M))) (.f64 (sin.f64 (.f64 n (*.f64 K 1/2))) (sin.f64 M)))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M))) (sqrt.f64 (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M))) (.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (cos.f64 M)))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M))) (sqrt.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M))) (.f64 (sin.f64 (.f64 n (*.f64 K 1/2))) (sin.f64 M)))

simplify287.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1314×	`associate-l`
1072×	`fma-def`
826×	`*-commutative`
526×	`sqr-pow`
486×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	642	25433
1	1863	24925
2	5846	24675

Stop Event

1×	node limit

Counts

307 → 279

Calls

Call 1

Inputs
(cos.f64 (neg.f64 M))
(+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 n (*.f64 K (sin.f64 (neg.f64 M))))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M))))) (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (cos.f64 (neg.f64 M)) (pow.f64 K 2))))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (cos.f64 (neg.f64 M)) (pow.f64 K 2)))) (.f64 1/48 (.f64 (pow.f64 n 3) (*.f64 (pow.f64 K 3) (sin.f64 (neg.f64 M))))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (neg.f64 M))
(+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 n (*.f64 K (sin.f64 (neg.f64 M))))))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 n 2) (pow.f64 K 2)))) (+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M)))))))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 n 2) (pow.f64 K 2)))) (+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M))))) (.f64 1/48 (.f64 (pow.f64 n 3) (*.f64 (pow.f64 K 3) (sin.f64 (neg.f64 M))))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (.f64 1/2 (.f64 n K)))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) M) (cos.f64 (.f64 1/2 (*.f64 n K))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (pow.f64 M 2))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) M) (cos.f64 (.f64 1/2 (*.f64 n K)))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (pow.f64 M 2))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) M) (+.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 -1/6 (.f64 (sin.f64 (.f64 1/2 (*.f64 n K))) (pow.f64 M 3))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M)))
(cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M)))
(cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M)))
(cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (neg.f64 M))) 1/3))
(+.f64 (log.f64 (pow.f64 (exp.f64 (cos.f64 (neg.f64 M))) 1/3)) (.f64 -1/6 (.f64 (.f64 n (.f64 K (sin.f64 (neg.f64 M)))) (pow.f64 (*.f64 1 (pow.f64 (exp.f64 (cos.f64 (neg.f64 M))) 4)) 1/9))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 n 2) (+.f64 (.f64 2/3 (/.f64 (-.f64 (.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 K 2) (pow.f64 (sin.f64 (neg.f64 M)) 2))) (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (pow.f64 K 2)))) (exp.f64 (cos.f64 (neg.f64 M)))) (.f64 1/12 (.f64 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (cos.f64 (neg.f64 M))) 17)) 1/9) (.f64 (pow.f64 K 2) (pow.f64 (sin.f64 (neg.f64 M)) 2))))) (exp.f64 (cos.f64 (neg.f64 M))))) (.f64 -1/36 (.f64 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (cos.f64 (neg.f64 M))) 8)) 1/9) (.f64 (pow.f64 K 2) (pow.f64 (sin.f64 (neg.f64 M)) 2))))))) (+.f64 (log.f64 (pow.f64 (exp.f64 (cos.f64 (neg.f64 M))) 1/3)) (.f64 -1/6 (.f64 (.f64 n (.f64 K (sin.f64 (neg.f64 M)))) (pow.f64 (*.f64 1 (pow.f64 (exp.f64 (cos.f64 (neg.f64 M))) 4)) 1/9)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 n 2) (+.f64 (.f64 2/3 (/.f64 (-.f64 (.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 K 2) (pow.f64 (sin.f64 (neg.f64 M)) 2))) (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (pow.f64 K 2)))) (exp.f64 (cos.f64 (neg.f64 M)))) (.f64 1/12 (.f64 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (cos.f64 (neg.f64 M))) 17)) 1/9) (.f64 (pow.f64 K 2) (pow.f64 (sin.f64 (neg.f64 M)) 2))))) (exp.f64 (cos.f64 (neg.f64 M))))) (.f64 -1/36 (.f64 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (cos.f64 (neg.f64 M))) 8)) 1/9) (.f64 (pow.f64 K 2) (pow.f64 (sin.f64 (neg.f64 M)) 2))))))) (+.f64 (log.f64 (pow.f64 (exp.f64 (cos.f64 (neg.f64 M))) 1/3)) (+.f64 (.f64 -1/6 (.f64 (.f64 n (.f64 K (sin.f64 (neg.f64 M)))) (pow.f64 (.f64 1 (pow.f64 (exp.f64 (cos.f64 (neg.f64 M))) 4)) 1/9))) (.f64 1/6 (.f64 (pow.f64 n 3) (+.f64 (.f64 -1/108 (.f64 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (cos.f64 (neg.f64 M))) 4)) 1/3) (.f64 (pow.f64 K 3) (pow.f64 (sin.f64 (neg.f64 M)) 3)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (cos.f64 (neg.f64 M))) 5)) 1/9) (.f64 K (.f64 (sin.f64 (neg.f64 M)) (-.f64 (.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 K 2) (pow.f64 (sin.f64 (neg.f64 M)) 2))) (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (pow.f64 K 2)))) (exp.f64 (cos.f64 (neg.f64 M)))) (.f64 1/12 (.f64 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (cos.f64 (neg.f64 M))) 17)) 1/9) (.f64 (pow.f64 K 2) (pow.f64 (sin.f64 (neg.f64 M)) 2))))))))) (.f64 2 (/.f64 (-.f64 (.f64 (+.f64 (.f64 1/48 (.f64 (pow.f64 K 3) (sin.f64 (neg.f64 M)))) (+.f64 (.f64 1/16 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 3) (sin.f64 (neg.f64 M))))) (.f64 -1/48 (.f64 (pow.f64 K 3) (pow.f64 (sin.f64 (neg.f64 M)) 3))))) (exp.f64 (cos.f64 (neg.f64 M)))) (+.f64 (.f64 -1/216 (.f64 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (cos.f64 (neg.f64 M))) 7)) 1/3) (.f64 (pow.f64 K 3) (pow.f64 (sin.f64 (neg.f64 M)) 3)))) (.f64 -1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (cos.f64 (neg.f64 M))) 4)) 1/9) (.f64 K (.f64 (sin.f64 (neg.f64 M)) (-.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (pow.f64 K 2))) (.f64 1/8 (.f64 (pow.f64 K 2) (pow.f64 (sin.f64 (neg.f64 M)) 2)))) (exp.f64 (cos.f64 (neg.f64 M)))) (.f64 1/12 (.f64 (pow.f64 (.f64 1 (pow.f64 (exp.f64 (cos.f64 (neg.f64 M))) 17)) 1/9) (*.f64 (pow.f64 K 2) (pow.f64 (sin.f64 (neg.f64 M)) 2))))))))))) (exp.f64 (cos.f64 (neg.f64 M))))))))))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))) 1/3))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))) 1/3))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))) 1/3))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))) 1/3))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))) 1/3))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))) 1/3))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))) 1/3))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))) 1/3))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (neg.f64 M))) 1/3))
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(expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))))
(exp.f64 (.f64 1/3 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M))))
(exp.f64 (.f64 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M)) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))))
(+.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) 0)
(+.f64 (.f64 1/3 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M)))) 2)))
(+.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M)) (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M)))
(+.f64 (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M)) (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))))
(+.f64 0 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) 2)) (.f64 1/3 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M))))
(+.f64 (.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M)) 1) (.f64 (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M)) 1))
(+.f64 (fma.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M) (neg.f64 (.f64 (neg.f64 (sin.f64 M)) (sin.f64 (.f64 n (.f64 K 1/2)))))) (fma.f64 (neg.f64 (neg.f64 (sin.f64 M))) (sin.f64 (.f64 n (.f64 K 1/2))) (.f64 (neg.f64 (sin.f64 M)) (sin.f64 (.f64 n (.f64 K 1/2))))))
(+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) (sin.f64 1)))
(+.f64 (.f64 (cos.f64 (/.f64 (.f64 (pow.f64 (.f64 n K) 3) 1/8) (fma.f64 M (fma.f64 n (.f64 K 1/2) M) (pow.f64 (.f64 n (.f64 K 1/2)) 2)))) (cos.f64 (/.f64 (pow.f64 M 3) (fma.f64 M (fma.f64 n (.f64 K 1/2) M) (pow.f64 (.f64 n (.f64 K 1/2)) 2))))) (.f64 (sin.f64 (/.f64 (.f64 (pow.f64 (.f64 n K) 3) 1/8) (fma.f64 M (fma.f64 n (.f64 K 1/2) M) (pow.f64 (.f64 n (.f64 K 1/2)) 2)))) (sin.f64 (/.f64 (pow.f64 M 3) (fma.f64 M (fma.f64 n (.f64 K 1/2) M) (pow.f64 (.f64 n (.f64 K 1/2)) 2))))))
(+.f64 (.f64 (cos.f64 (/.f64 (pow.f64 (.f64 n (.f64 K 1/2)) 2) (fma.f64 n (.f64 K 1/2) M))) (cos.f64 (/.f64 (.f64 M M) (fma.f64 n (.f64 K 1/2) M)))) (.f64 (sin.f64 (/.f64 (pow.f64 (.f64 n (.f64 K 1/2)) 2) (fma.f64 n (.f64 K 1/2) M))) (sin.f64 (/.f64 (.f64 M M) (fma.f64 n (.f64 K 1/2) M)))))
(+.f64 (log.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) 2) 1)) (.f64 1/3 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))
(+.f64 (log.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))) 2))) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M)))))))
(+.f64 (log.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) 2) (pow.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))) 1/6))) (log.f64 (pow.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M))) 1/6)))
(-.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M)) (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (neg.f64 (sin.f64 M))))
(-.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M)) (.f64 (neg.f64 (sin.f64 M)) (sin.f64 (.f64 n (.f64 K 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) 1)
(-.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 (neg.f64 M) 1))) (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 (.f64 (neg.f64 M) 1))))
(-.f64 (.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) (cos.f64 (fma.f64 (neg.f64 M) 1 M))) (.f64 (sin.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) (sin.f64 (fma.f64 (neg.f64 M) 1 M))))
(-.f64 (.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) 2) M))) (.f64 (sin.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) 2) M))))
(-.f64 (.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) (cos.f64 (+.f64 (neg.f64 M) M))) (.f64 (sin.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) (sin.f64 (+.f64 (neg.f64 M) M))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M)) 3) (pow.f64 (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M)) 3)) (fma.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M)) (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M)) (-.f64 (.f64 (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M)) (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M))) (.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M)) (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M))))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M)) (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M))) (.f64 (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M)) (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M)))) (cos.f64 (fma.f64 n (*.f64 K 1/2) M)))
(pow.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) 1)
(pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))) 3)
(pow.f64 (pow.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) 2))
(log.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))))
(log.f64 (.f64 (exp.f64 (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M))) (exp.f64 (.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (cos.f64 M)))))
(log.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) 2) (+.f64 1 (expm1.f64 (.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) 1/3)))))
(cbrt.f64 (pow.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) 3))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(expm1.f64 (log1p.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))
(exp.f64 (log.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))
(exp.f64 (.f64 (log.f64 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))
(fma.f64 1 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M)) (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M)))
(fma.f64 1 (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M)) (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M)))
(fma.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M) (.f64 (sin.f64 (.f64 n (*.f64 K 1/2))) (sin.f64 M)))
(fma.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M) (neg.f64 (.f64 (sin.f64 (.f64 n (*.f64 K 1/2))) (neg.f64 (sin.f64 M)))))
(fma.f64 (cos.f64 M) (cos.f64 (.f64 n (.f64 K 1/2))) (.f64 (sin.f64 (.f64 n (*.f64 K 1/2))) (sin.f64 M)))
(fma.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M)) 1 (.f64 (.f64 (sin.f64 (.f64 n (*.f64 K 1/2))) (sin.f64 M)) 1))
(fma.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M) (.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (cos.f64 M)))
(fma.f64 (sin.f64 M) (sin.f64 (.f64 n (.f64 K 1/2))) (.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (cos.f64 M)))
(fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M))) (cbrt.f64 (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M)))) (cbrt.f64 (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M))) (.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (cos.f64 M)))
(fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M))) (cbrt.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M)))) (cbrt.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M))) (.f64 (sin.f64 (.f64 n (*.f64 K 1/2))) (sin.f64 M)))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M))) (sqrt.f64 (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M))) (.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (cos.f64 M)))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M))) (sqrt.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M))) (.f64 (sin.f64 (.f64 n (*.f64 K 1/2))) (sin.f64 M)))

Outputs
(cos.f64 (neg.f64 M))
(cos.f64 M)
(+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 n (*.f64 K (sin.f64 (neg.f64 M))))))
(+.f64 (cos.f64 M) (.f64 -1/2 (.f64 n (*.f64 K (neg.f64 (sin.f64 M))))))
(fma.f64 -1/2 (.f64 (neg.f64 (sin.f64 M)) (.f64 n K)) (cos.f64 M))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M))))) (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (cos.f64 (neg.f64 M)) (pow.f64 K 2))))))
(+.f64 (cos.f64 M) (fma.f64 -1/2 (.f64 n (.f64 K (neg.f64 (sin.f64 M)))) (.f64 (.f64 -1/8 (.f64 n n)) (.f64 (cos.f64 M) (*.f64 K K)))))
(fma.f64 -1/8 (.f64 (cos.f64 M) (.f64 n (.f64 n (.f64 K K)))) (fma.f64 -1/2 (.f64 (neg.f64 (sin.f64 M)) (.f64 n K)) (cos.f64 M)))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (cos.f64 (neg.f64 M)) (pow.f64 K 2)))) (.f64 1/48 (.f64 (pow.f64 n 3) (*.f64 (pow.f64 K 3) (sin.f64 (neg.f64 M))))))))
(+.f64 (cos.f64 M) (fma.f64 -1/2 (.f64 n (.f64 K (neg.f64 (sin.f64 M)))) (fma.f64 -1/8 (.f64 (cos.f64 M) (.f64 (.f64 n n) (.f64 K K))) (.f64 1/48 (.f64 (pow.f64 (*.f64 n K) 3) (neg.f64 (sin.f64 M)))))))
(+.f64 (fma.f64 -1/2 (.f64 (neg.f64 (sin.f64 M)) (.f64 n K)) (cos.f64 M)) (fma.f64 1/48 (.f64 (neg.f64 (sin.f64 M)) (pow.f64 (.f64 n K) 3)) (.f64 (cos.f64 M) (.f64 (.f64 n (.f64 n (*.f64 K K))) -1/8))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (fma.f64 n (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (fma.f64 n (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (fma.f64 n (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (fma.f64 n (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (fma.f64 n (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (fma.f64 n (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (fma.f64 n (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (fma.f64 n (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (neg.f64 M))
(cos.f64 M)
(+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 n (*.f64 K (sin.f64 (neg.f64 M))))))
(+.f64 (cos.f64 M) (.f64 -1/2 (.f64 n (*.f64 K (neg.f64 (sin.f64 M))))))
(fma.f64 -1/2 (.f64 (neg.f64 (sin.f64 M)) (.f64 n K)) (cos.f64 M))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 n 2) (pow.f64 K 2)))) (+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M)))))))
(+.f64 (cos.f64 M) (fma.f64 -1/2 (.f64 n (.f64 K (neg.f64 (sin.f64 M)))) (.f64 (.f64 -1/8 (.f64 n n)) (.f64 (cos.f64 M) (*.f64 K K)))))
(fma.f64 -1/8 (.f64 (cos.f64 M) (.f64 n (.f64 n (.f64 K K)))) (fma.f64 -1/2 (.f64 (neg.f64 (sin.f64 M)) (.f64 n K)) (cos.f64 M)))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 n 2) (pow.f64 K 2)))) (+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M))))) (.f64 1/48 (.f64 (pow.f64 n 3) (*.f64 (pow.f64 K 3) (sin.f64 (neg.f64 M))))))))
(+.f64 (cos.f64 M) (fma.f64 -1/2 (.f64 n (.f64 K (neg.f64 (sin.f64 M)))) (fma.f64 -1/8 (.f64 (cos.f64 M) (.f64 (.f64 n n) (.f64 K K))) (.f64 1/48 (.f64 (pow.f64 (*.f64 n K) 3) (neg.f64 (sin.f64 M)))))))
(+.f64 (fma.f64 -1/2 (.f64 (neg.f64 (sin.f64 M)) (.f64 n K)) (cos.f64 M)) (fma.f64 1/48 (.f64 (neg.f64 (sin.f64 M)) (pow.f64 (.f64 n K) 3)) (.f64 (cos.f64 M) (.f64 (.f64 n (.f64 n (*.f64 K K))) -1/8))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (fma.f64 n (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (fma.f64 n (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (fma.f64 n (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (fma.f64 n (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (fma.f64 n (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (fma.f64 n (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (fma.f64 n (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (fma.f64 n (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) M) (cos.f64 (.f64 1/2 (*.f64 n K))))
(fma.f64 (sin.f64 (.f64 n (.f64 K 1/2))) M (cos.f64 (.f64 n (.f64 K 1/2))))
(fma.f64 M (sin.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (pow.f64 M 2))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) M) (cos.f64 (.f64 1/2 (*.f64 n K)))))
(fma.f64 -1/2 (.f64 (.f64 M M) (cos.f64 (.f64 n (.f64 K 1/2)))) (fma.f64 (sin.f64 (.f64 n (.f64 K 1/2))) M (cos.f64 (.f64 n (.f64 K 1/2)))))
(fma.f64 -1/2 (.f64 (.f64 M M) (cos.f64 (.f64 n (.f64 K 1/2)))) (fma.f64 M (sin.f64 (.f64 n (.f64 K 1/2))) (cos.f64 (.f64 n (.f64 K 1/2)))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (pow.f64 M 2))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) M) (+.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 -1/6 (.f64 (sin.f64 (.f64 1/2 (*.f64 n K))) (pow.f64 M 3))))))
(fma.f64 -1/2 (.f64 (.f64 M M) (cos.f64 (.f64 n (.f64 K 1/2)))) (+.f64 (fma.f64 (sin.f64 (.f64 n (.f64 K 1/2))) M (cos.f64 (.f64 n (.f64 K 1/2)))) (.f64 -1/6 (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (pow.f64 M 3)))))
(fma.f64 -1/2 (.f64 (.f64 M M) (cos.f64 (.f64 n (.f64 K 1/2)))) (fma.f64 M (sin.f64 (.f64 n (.f64 K 1/2))) (fma.f64 -1/6 (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (pow.f64 M 3)) (cos.f64 (.f64 n (*.f64 K 1/2))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (fma.f64 n (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (fma.f64 n (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
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(expm1.f64 (log1p.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (fma.f64 n (*.f64 K 1/2) (neg.f64 M)))
(exp.f64 (log.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (fma.f64 n (*.f64 K 1/2) (neg.f64 M)))
(exp.f64 (.f64 (log.f64 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M))) 1))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (fma.f64 n (*.f64 K 1/2) (neg.f64 M)))
(log1p.f64 (expm1.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (fma.f64 n (*.f64 K 1/2) (neg.f64 M)))
(fma.f64 1 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M)) (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M)))
(fma.f64 (cos.f64 M) (cos.f64 (.f64 n (.f64 K 1/2))) (.f64 (sin.f64 (.f64 n (*.f64 K 1/2))) (sin.f64 M)))
(fma.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M) (.f64 (cos.f64 M) (cos.f64 (.f64 n (*.f64 K 1/2)))))
(fma.f64 1 (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M)) (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M)))
(fma.f64 (cos.f64 M) (cos.f64 (.f64 n (.f64 K 1/2))) (.f64 (sin.f64 (.f64 n (*.f64 K 1/2))) (sin.f64 M)))
(fma.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M) (.f64 (cos.f64 M) (cos.f64 (.f64 n (*.f64 K 1/2)))))
(fma.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M) (.f64 (sin.f64 (.f64 n (*.f64 K 1/2))) (sin.f64 M)))
(fma.f64 (cos.f64 M) (cos.f64 (.f64 n (.f64 K 1/2))) (.f64 (sin.f64 (.f64 n (*.f64 K 1/2))) (sin.f64 M)))
(fma.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M) (.f64 (cos.f64 M) (cos.f64 (.f64 n (*.f64 K 1/2)))))
(fma.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M) (neg.f64 (.f64 (sin.f64 (.f64 n (*.f64 K 1/2))) (neg.f64 (sin.f64 M)))))
(fma.f64 (cos.f64 M) (cos.f64 (.f64 n (.f64 K 1/2))) (.f64 (sin.f64 (.f64 n (*.f64 K 1/2))) (sin.f64 M)))
(fma.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M) (.f64 (cos.f64 M) (cos.f64 (.f64 n (*.f64 K 1/2)))))
(fma.f64 (cos.f64 M) (cos.f64 (.f64 n (.f64 K 1/2))) (.f64 (sin.f64 (.f64 n (*.f64 K 1/2))) (sin.f64 M)))
(fma.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M) (.f64 (cos.f64 M) (cos.f64 (.f64 n (*.f64 K 1/2)))))
(fma.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M)) 1 (.f64 (.f64 (sin.f64 (.f64 n (*.f64 K 1/2))) (sin.f64 M)) 1))
(fma.f64 (cos.f64 M) (cos.f64 (.f64 n (.f64 K 1/2))) (.f64 (sin.f64 (.f64 n (*.f64 K 1/2))) (sin.f64 M)))
(fma.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M) (.f64 (cos.f64 M) (cos.f64 (.f64 n (*.f64 K 1/2)))))
(fma.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M) (.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (cos.f64 M)))
(fma.f64 (cos.f64 M) (cos.f64 (.f64 n (.f64 K 1/2))) (.f64 (sin.f64 (.f64 n (*.f64 K 1/2))) (sin.f64 M)))
(fma.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M) (.f64 (cos.f64 M) (cos.f64 (.f64 n (*.f64 K 1/2)))))
(fma.f64 (sin.f64 M) (sin.f64 (.f64 n (.f64 K 1/2))) (.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (cos.f64 M)))
(fma.f64 (cos.f64 M) (cos.f64 (.f64 n (.f64 K 1/2))) (.f64 (sin.f64 (.f64 n (*.f64 K 1/2))) (sin.f64 M)))
(fma.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M) (.f64 (cos.f64 M) (cos.f64 (.f64 n (*.f64 K 1/2)))))
(fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M))) (cbrt.f64 (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M)))) (cbrt.f64 (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M))) (.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (cos.f64 M)))
(fma.f64 (cos.f64 M) (cos.f64 (.f64 n (.f64 K 1/2))) (.f64 (sin.f64 (.f64 n (*.f64 K 1/2))) (sin.f64 M)))
(fma.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M) (.f64 (cos.f64 M) (cos.f64 (.f64 n (*.f64 K 1/2)))))
(fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M))) (cbrt.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M)))) (cbrt.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M))) (.f64 (sin.f64 (.f64 n (*.f64 K 1/2))) (sin.f64 M)))
(fma.f64 (cos.f64 M) (cos.f64 (.f64 n (.f64 K 1/2))) (.f64 (sin.f64 (.f64 n (*.f64 K 1/2))) (sin.f64 M)))
(fma.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M) (.f64 (cos.f64 M) (cos.f64 (.f64 n (*.f64 K 1/2)))))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M))) (sqrt.f64 (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M))) (.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (cos.f64 M)))
(fma.f64 (cos.f64 M) (cos.f64 (.f64 n (.f64 K 1/2))) (.f64 (sin.f64 (.f64 n (*.f64 K 1/2))) (sin.f64 M)))
(fma.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M) (.f64 (cos.f64 M) (cos.f64 (.f64 n (*.f64 K 1/2)))))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M))) (sqrt.f64 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (cos.f64 M))) (.f64 (sin.f64 (.f64 n (*.f64 K 1/2))) (sin.f64 M)))
(fma.f64 (cos.f64 M) (cos.f64 (.f64 n (.f64 K 1/2))) (.f64 (sin.f64 (.f64 n (*.f64 K 1/2))) (sin.f64 M)))
(fma.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (sin.f64 M) (.f64 (cos.f64 M) (cos.f64 (.f64 n (*.f64 K 1/2)))))

localize160.0ms (0.6%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)
✓	100.0%	(.f64 K (.f64 (+.f64 n m) 1/2))
✓	37.7%	(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))

Compiler

Compiled 45 to 22 computations (51.1% saved)

series3.0ms (0%)

Counts

3 → 132

Calls

33 calls:

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

rewrite100.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1434×	`log-prod`
1050×	`fma-def`
672×	`pow-exp`
550×	`expm1-udef`
548×	`log1p-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	73
1	287	73
2	3956	73

Stop Event

1×	node limit

Counts

3 → 196

Calls

Call 1

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

Outputs
(+.f64 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (cos.f64 M)) (.f64 (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (sin.f64 M)))
(+.f64 (.f64 (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (sin.f64 M)) (.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (cos.f64 M)))
(+.f64 0 (cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M))))
(+.f64 (.f64 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (cos.f64 M)) 1) (.f64 (.f64 (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (sin.f64 M)) 1))
(+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (.f64 K (+.f64 n m)) (neg.f64 M))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (.f64 K (+.f64 n m)) (neg.f64 M))))) (sin.f64 1)))
(+.f64 (.f64 (cos.f64 (/.f64 (.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 1/8) (fma.f64 M (fma.f64 K (.f64 (+.f64 n m) 1/2) M) (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2)))) (cos.f64 (/.f64 (pow.f64 M 3) (fma.f64 M (fma.f64 K (.f64 (+.f64 n m) 1/2) M) (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2))))) (.f64 (sin.f64 (/.f64 (.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 1/8) (fma.f64 M (fma.f64 K (.f64 (+.f64 n m) 1/2) M) (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2)))) (sin.f64 (/.f64 (pow.f64 M 3) (fma.f64 M (fma.f64 K (.f64 (+.f64 n m) 1/2) M) (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2))))))
(+.f64 (.f64 (cos.f64 (/.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (fma.f64 K (.f64 (+.f64 n m) 1/2) M))) (cos.f64 (/.f64 (.f64 M M) (fma.f64 K (.f64 (+.f64 n m) 1/2) M)))) (.f64 (sin.f64 (/.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (fma.f64 K (.f64 (+.f64 n m) 1/2) M))) (sin.f64 (/.f64 (.f64 M M) (fma.f64 K (.f64 (+.f64 n m) 1/2) M)))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/2 (.f64 K (+.f64 n m)) (neg.f64 M))))) (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/2 (.f64 K (+.f64 n m)) (neg.f64 M))))))) (log.f64 (cbrt.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 (fma.f64 1/2 (.f64 K (+.f64 n m)) (neg.f64 M)))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 1/2 (.f64 K (+.f64 n m)) (neg.f64 M)))))))
(-.f64 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (cos.f64 M)) (.f64 (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (sin.f64 (neg.f64 M))))
(-.f64 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (cos.f64 M)) (.f64 (sin.f64 (neg.f64 M)) (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M))))) 1)
(-.f64 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (cos.f64 (.f64 (neg.f64 M) 1))) (.f64 (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (sin.f64 (.f64 (neg.f64 M) 1))))
(-.f64 (.f64 (cos.f64 (fma.f64 1/2 (.f64 K (+.f64 n m)) (neg.f64 M))) (cos.f64 (fma.f64 (neg.f64 M) 1 M))) (.f64 (sin.f64 (fma.f64 1/2 (.f64 K (+.f64 n m)) (neg.f64 M))) (sin.f64 (fma.f64 (neg.f64 M) 1 M))))
(-.f64 (.f64 (cos.f64 (fma.f64 1/2 (.f64 K (+.f64 n m)) (neg.f64 M))) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) 2) M))) (.f64 (sin.f64 (fma.f64 1/2 (.f64 K (+.f64 n m)) (neg.f64 M))) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) 2) M))))
(-.f64 (.f64 (cos.f64 (fma.f64 1/2 (.f64 K (+.f64 n m)) (neg.f64 M))) (cos.f64 (+.f64 (neg.f64 M) M))) (.f64 (sin.f64 (fma.f64 1/2 (.f64 K (+.f64 n m)) (neg.f64 M))) (sin.f64 (+.f64 (neg.f64 M) M))))
(.f64 (cos.f64 (fma.f64 1/2 (.f64 K (+.f64 n m)) (neg.f64 M))) 1)
(.f64 1 (cos.f64 (fma.f64 1/2 (.f64 K (+.f64 n m)) (neg.f64 M))))
(.f64 (cbrt.f64 (cos.f64 (fma.f64 1/2 (.f64 K (+.f64 n m)) (neg.f64 M)))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M)))) 2))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 1/2 (.f64 K (+.f64 n m)) (neg.f64 M)))) 2) (cbrt.f64 (cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M)))))
(.f64 (sqrt.f64 (cos.f64 (fma.f64 1/2 (.f64 K (+.f64 n m)) (neg.f64 M)))) (sqrt.f64 (cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (cos.f64 M)) 3) (pow.f64 (.f64 (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (sin.f64 M)) 3)) (fma.f64 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (cos.f64 M)) (.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (cos.f64 M)) (-.f64 (.f64 (.f64 (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (sin.f64 M)) (.f64 (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (sin.f64 M))) (.f64 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (cos.f64 M)) (.f64 (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (sin.f64 M))))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (cos.f64 M)) (.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (cos.f64 M))) (.f64 (.f64 (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (sin.f64 M)) (.f64 (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (sin.f64 M)))) (cos.f64 (fma.f64 K (*.f64 (+.f64 n m) 1/2) M)))
(pow.f64 (cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M))) 1)
(pow.f64 (cbrt.f64 (cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M)))) 3)
(pow.f64 (pow.f64 (cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M))) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M)))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M))) 2))
(log.f64 (exp.f64 (cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M)))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M))))))
(log.f64 (.f64 (exp.f64 (.f64 (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (sin.f64 M))) (exp.f64 (.f64 (cos.f64 (.f64 K (*.f64 (+.f64 n m) 1/2))) (cos.f64 M)))))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M)))))
(exp.f64 (log.f64 (cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M)))))
(exp.f64 (.f64 (log.f64 (cos.f64 (fma.f64 1/2 (.f64 K (+.f64 n m)) (neg.f64 M)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cos.f64 (fma.f64 1/2 (.f64 K (+.f64 n m)) (neg.f64 M))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (cos.f64 (fma.f64 1/2 (.f64 K (+.f64 n m)) (neg.f64 M))))) 2))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M)))))
(fma.f64 1 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (cos.f64 M)) (.f64 (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (sin.f64 M)))
(fma.f64 1 (.f64 (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (sin.f64 M)) (.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (cos.f64 M)))
(fma.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (cos.f64 M) (.f64 (sin.f64 (.f64 K (*.f64 (+.f64 n m) 1/2))) (sin.f64 M)))
(fma.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (cos.f64 M) (neg.f64 (.f64 (sin.f64 (.f64 K (*.f64 (+.f64 n m) 1/2))) (sin.f64 (neg.f64 M)))))
(fma.f64 (cos.f64 M) (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (.f64 (sin.f64 (.f64 K (*.f64 (+.f64 n m) 1/2))) (sin.f64 M)))
(fma.f64 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (cos.f64 M)) 1 (.f64 (.f64 (sin.f64 (.f64 K (*.f64 (+.f64 n m) 1/2))) (sin.f64 M)) 1))
(fma.f64 (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (sin.f64 M) (.f64 (cos.f64 (.f64 K (*.f64 (+.f64 n m) 1/2))) (cos.f64 M)))
(fma.f64 (sin.f64 M) (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (.f64 (cos.f64 (.f64 K (*.f64 (+.f64 n m) 1/2))) (cos.f64 M)))
(fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (cos.f64 M))) (cbrt.f64 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (cos.f64 M)))) (cbrt.f64 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (cos.f64 M))) (.f64 (sin.f64 (.f64 K (*.f64 (+.f64 n m) 1/2))) (sin.f64 M)))
(fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (sin.f64 M))) (cbrt.f64 (.f64 (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (sin.f64 M)))) (cbrt.f64 (.f64 (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (sin.f64 M))) (.f64 (cos.f64 (.f64 K (*.f64 (+.f64 n m) 1/2))) (cos.f64 M)))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (cos.f64 M))) (sqrt.f64 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (cos.f64 M))) (.f64 (sin.f64 (.f64 K (*.f64 (+.f64 n m) 1/2))) (sin.f64 M)))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (sin.f64 M))) (sqrt.f64 (.f64 (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (sin.f64 M))) (.f64 (cos.f64 (.f64 K (*.f64 (+.f64 n m) 1/2))) (cos.f64 M)))
(+.f64 0 (.f64 K (.f64 (+.f64 n m) 1/2)))
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(fma.f64 (fma.f64 (sqrt.f64 (.f64 (+.f64 n m) 1/2)) (sqrt.f64 K) (sqrt.f64 M)) (-.f64 (sqrt.f64 (.f64 K (*.f64 (+.f64 n m) 1/2))) (sqrt.f64 M)) (fma.f64 (neg.f64 M) 1 M))
(fma.f64 (fma.f64 (sqrt.f64 (.f64 (+.f64 n m) 1/2)) (sqrt.f64 K) (sqrt.f64 M)) (-.f64 (sqrt.f64 (.f64 K (*.f64 (+.f64 n m) 1/2))) (sqrt.f64 M)) (fma.f64 (neg.f64 (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) 2) M))
(fma.f64 (fma.f64 (sqrt.f64 (.f64 (+.f64 n m) 1/2)) (sqrt.f64 K) (sqrt.f64 M)) (-.f64 (sqrt.f64 (.f64 K (*.f64 (+.f64 n m) 1/2))) (sqrt.f64 M)) (+.f64 (neg.f64 M) M))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 M) 2)) (cbrt.f64 M) (.f64 K (.f64 (+.f64 n m) 1/2)))
(fma.f64 (*.f64 K 1/2) (+.f64 n m) (neg.f64 M))
(fma.f64 (.f64 K 1/2) (+.f64 n m) (.f64 (neg.f64 M) 1))
(fma.f64 (.f64 K (pow.f64 (cbrt.f64 (.f64 (+.f64 n m) 1/2)) 2)) (cbrt.f64 (*.f64 (+.f64 n m) 1/2)) (neg.f64 M))
(fma.f64 (.f64 K (pow.f64 (cbrt.f64 (.f64 (+.f64 n m) 1/2)) 2)) (cbrt.f64 (.f64 (+.f64 n m) 1/2)) (.f64 (neg.f64 M) 1))
(fma.f64 (.f64 K (sqrt.f64 (.f64 (+.f64 n m) 1/2))) (sqrt.f64 (*.f64 (+.f64 n m) 1/2)) (neg.f64 M))
(fma.f64 (.f64 K (sqrt.f64 (.f64 (+.f64 n m) 1/2))) (sqrt.f64 (.f64 (+.f64 n m) 1/2)) (.f64 (neg.f64 M) 1))
(fma.f64 (.f64 (.f64 (+.f64 n m) 1/2) (pow.f64 (cbrt.f64 K) 2)) (cbrt.f64 K) (neg.f64 M))
(fma.f64 (.f64 (.f64 (+.f64 n m) 1/2) (pow.f64 (cbrt.f64 K) 2)) (cbrt.f64 K) (*.f64 (neg.f64 M) 1))
(fma.f64 (.f64 (.f64 (+.f64 n m) 1/2) (sqrt.f64 K)) (sqrt.f64 K) (neg.f64 M))
(fma.f64 (.f64 (.f64 (+.f64 n m) 1/2) (sqrt.f64 K)) (sqrt.f64 K) (*.f64 (neg.f64 M) 1))

simplify144.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1064×	`fma-neg`
986×	`unswap-sqr`
628×	`cancel-sign-sub-inv`
624×	`associate-r`
566×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	536	12434
1	1310	12174
2	4103	12108

Stop Event

1×	node limit

Counts

328 → 326

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 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 (.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 1/2 (.f64 K (+.f64 n m))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M) (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M) (+.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))) (pow.f64 M 2)))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M) (+.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (+.f64 (.f64 -1/6 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (pow.f64 M 3))) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))) (pow.f64 M 2))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m)))))
(cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m)))))
(cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m)))))
(cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m)))))
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 1/2 (.f64 K m))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(.f64 1/2 (.f64 n K))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(.f64 1/2 (.f64 n K))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(.f64 1/2 (.f64 n K))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(.f64 1/2 (.f64 K m))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(.f64 1/2 (.f64 K m))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(*.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))))
(+.f64 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (cos.f64 M)) (.f64 (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (sin.f64 M)))
(+.f64 (.f64 (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (sin.f64 M)) (.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (cos.f64 M)))
(+.f64 0 (cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M))))
(+.f64 (.f64 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (cos.f64 M)) 1) (.f64 (.f64 (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (sin.f64 M)) 1))
(+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (.f64 K (+.f64 n m)) (neg.f64 M))))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 1/2 (.f64 K (+.f64 n m)) (neg.f64 M))))) (sin.f64 1)))
(+.f64 (.f64 (cos.f64 (/.f64 (.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 1/8) (fma.f64 M (fma.f64 K (.f64 (+.f64 n m) 1/2) M) (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2)))) (cos.f64 (/.f64 (pow.f64 M 3) (fma.f64 M (fma.f64 K (.f64 (+.f64 n m) 1/2) M) (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2))))) (.f64 (sin.f64 (/.f64 (.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 1/8) (fma.f64 M (fma.f64 K (.f64 (+.f64 n m) 1/2) M) (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2)))) (sin.f64 (/.f64 (pow.f64 M 3) (fma.f64 M (fma.f64 K (.f64 (+.f64 n m) 1/2) M) (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2))))))
(+.f64 (.f64 (cos.f64 (/.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (fma.f64 K (.f64 (+.f64 n m) 1/2) M))) (cos.f64 (/.f64 (.f64 M M) (fma.f64 K (.f64 (+.f64 n m) 1/2) M)))) (.f64 (sin.f64 (/.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (fma.f64 K (.f64 (+.f64 n m) 1/2) M))) (sin.f64 (/.f64 (.f64 M M) (fma.f64 K (.f64 (+.f64 n m) 1/2) M)))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/2 (.f64 K (+.f64 n m)) (neg.f64 M))))) (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/2 (.f64 K (+.f64 n m)) (neg.f64 M))))))) (log.f64 (cbrt.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 (fma.f64 1/2 (.f64 K (+.f64 n m)) (neg.f64 M)))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 1/2 (.f64 K (+.f64 n m)) (neg.f64 M)))))))
(-.f64 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (cos.f64 M)) (.f64 (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (sin.f64 (neg.f64 M))))
(-.f64 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (cos.f64 M)) (.f64 (sin.f64 (neg.f64 M)) (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M))))) 1)
(-.f64 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (cos.f64 (.f64 (neg.f64 M) 1))) (.f64 (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (sin.f64 (.f64 (neg.f64 M) 1))))
(-.f64 (.f64 (cos.f64 (fma.f64 1/2 (.f64 K (+.f64 n m)) (neg.f64 M))) (cos.f64 (fma.f64 (neg.f64 M) 1 M))) (.f64 (sin.f64 (fma.f64 1/2 (.f64 K (+.f64 n m)) (neg.f64 M))) (sin.f64 (fma.f64 (neg.f64 M) 1 M))))
(-.f64 (.f64 (cos.f64 (fma.f64 1/2 (.f64 K (+.f64 n m)) (neg.f64 M))) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) 2) M))) (.f64 (sin.f64 (fma.f64 1/2 (.f64 K (+.f64 n m)) (neg.f64 M))) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) 2) M))))
(-.f64 (.f64 (cos.f64 (fma.f64 1/2 (.f64 K (+.f64 n m)) (neg.f64 M))) (cos.f64 (+.f64 (neg.f64 M) M))) (.f64 (sin.f64 (fma.f64 1/2 (.f64 K (+.f64 n m)) (neg.f64 M))) (sin.f64 (+.f64 (neg.f64 M) M))))
(.f64 (cos.f64 (fma.f64 1/2 (.f64 K (+.f64 n m)) (neg.f64 M))) 1)
(.f64 1 (cos.f64 (fma.f64 1/2 (.f64 K (+.f64 n m)) (neg.f64 M))))
(.f64 (cbrt.f64 (cos.f64 (fma.f64 1/2 (.f64 K (+.f64 n m)) (neg.f64 M)))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M)))) 2))
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(fma.f64 (cbrt.f64 (fma.f64 1/2 (.f64 K (+.f64 n m)) (neg.f64 M))) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 K (+.f64 n m)) (neg.f64 M))) 2) (+.f64 (neg.f64 M) M))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 K (+.f64 n m)) (neg.f64 M))) 2) (cbrt.f64 (fma.f64 1/2 (.f64 K (+.f64 n m)) (neg.f64 M))) (fma.f64 (neg.f64 M) 1 M))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 K (+.f64 n m)) (neg.f64 M))) 2) (cbrt.f64 (fma.f64 1/2 (.f64 K (+.f64 n m)) (neg.f64 M))) (fma.f64 (neg.f64 (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) 2) M))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 K (+.f64 n m)) (neg.f64 M))) 2) (cbrt.f64 (fma.f64 1/2 (.f64 K (+.f64 n m)) (neg.f64 M))) (+.f64 (neg.f64 M) M))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 n m) 1/2)) 2) (.f64 (cbrt.f64 (*.f64 (+.f64 n m) 1/2)) K) (neg.f64 M))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 n m) 1/2)) 2) (.f64 (cbrt.f64 (.f64 (+.f64 n m) 1/2)) K) (.f64 (neg.f64 M) 1))
(fma.f64 (cbrt.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (pow.f64 (cbrt.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) 2) (neg.f64 M))
(fma.f64 (cbrt.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (pow.f64 (cbrt.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) 2) (*.f64 (neg.f64 M) 1))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) 2) (cbrt.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (neg.f64 M))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) 2) (cbrt.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (*.f64 (neg.f64 M) 1))
(fma.f64 (pow.f64 (cbrt.f64 K) 2) (.f64 (cbrt.f64 K) (.f64 (+.f64 n m) 1/2)) (neg.f64 M))
(fma.f64 (pow.f64 (cbrt.f64 K) 2) (.f64 (cbrt.f64 K) (.f64 (+.f64 n m) 1/2)) (*.f64 (neg.f64 M) 1))
(fma.f64 (sqrt.f64 M) (neg.f64 (sqrt.f64 M)) (.f64 K (.f64 (+.f64 n m) 1/2)))
(fma.f64 (sqrt.f64 (fma.f64 1/2 (.f64 K (+.f64 n m)) (neg.f64 M))) (sqrt.f64 (fma.f64 1/2 (.f64 K (+.f64 n m)) (neg.f64 M))) (fma.f64 (neg.f64 M) 1 M))
(fma.f64 (sqrt.f64 (fma.f64 1/2 (.f64 K (+.f64 n m)) (neg.f64 M))) (sqrt.f64 (fma.f64 1/2 (.f64 K (+.f64 n m)) (neg.f64 M))) (fma.f64 (neg.f64 (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) 2) M))
(fma.f64 (sqrt.f64 (fma.f64 1/2 (.f64 K (+.f64 n m)) (neg.f64 M))) (sqrt.f64 (fma.f64 1/2 (.f64 K (+.f64 n m)) (neg.f64 M))) (+.f64 (neg.f64 M) M))
(fma.f64 (sqrt.f64 (.f64 (+.f64 n m) 1/2)) (.f64 (sqrt.f64 (*.f64 (+.f64 n m) 1/2)) K) (neg.f64 M))
(fma.f64 (sqrt.f64 (.f64 (+.f64 n m) 1/2)) (.f64 (sqrt.f64 (.f64 (+.f64 n m) 1/2)) K) (.f64 (neg.f64 M) 1))
(fma.f64 (sqrt.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (sqrt.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (neg.f64 M))
(fma.f64 (sqrt.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (sqrt.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (*.f64 (neg.f64 M) 1))
(fma.f64 (sqrt.f64 K) (.f64 (sqrt.f64 K) (.f64 (+.f64 n m) 1/2)) (neg.f64 M))
(fma.f64 (sqrt.f64 K) (.f64 (sqrt.f64 K) (.f64 (+.f64 n m) 1/2)) (*.f64 (neg.f64 M) 1))
(fma.f64 (-.f64 (.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 1/8) (pow.f64 M 3)) (/.f64 1 (fma.f64 M (fma.f64 K (.f64 (+.f64 n m) 1/2) M) (pow.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) 2))) (fma.f64 (neg.f64 M) 1 M))
(fma.f64 (-.f64 (.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 1/8) (pow.f64 M 3)) (/.f64 1 (fma.f64 M (fma.f64 K (.f64 (+.f64 n m) 1/2) M) (pow.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) 2))) (fma.f64 (neg.f64 (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) 2) M))
(fma.f64 (-.f64 (.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 1/8) (pow.f64 M 3)) (/.f64 1 (fma.f64 M (fma.f64 K (.f64 (+.f64 n m) 1/2) M) (pow.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) 2))) (+.f64 (neg.f64 M) M))
(fma.f64 (-.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M M)) (/.f64 1 (fma.f64 K (.f64 (+.f64 n m) 1/2) M)) (fma.f64 (neg.f64 M) 1 M))
(fma.f64 (-.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M M)) (/.f64 1 (fma.f64 K (.f64 (+.f64 n m) 1/2) M)) (fma.f64 (neg.f64 (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) 2) M))
(fma.f64 (-.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M M)) (/.f64 1 (fma.f64 K (.f64 (+.f64 n m) 1/2) M)) (+.f64 (neg.f64 M) M))
(fma.f64 (*.f64 K (+.f64 n m)) 1/2 (neg.f64 M))
(fma.f64 (.f64 K (+.f64 n m)) 1/2 (.f64 (neg.f64 M) 1))
(fma.f64 (.f64 (cbrt.f64 (neg.f64 M)) (cbrt.f64 (neg.f64 M))) (cbrt.f64 (neg.f64 M)) (.f64 K (*.f64 (+.f64 n m) 1/2)))
(fma.f64 (sqrt.f64 (neg.f64 M)) (sqrt.f64 (neg.f64 M)) (.f64 K (.f64 (+.f64 n m) 1/2)))
(fma.f64 (neg.f64 (sqrt.f64 M)) (sqrt.f64 M) (.f64 K (.f64 (+.f64 n m) 1/2)))
(fma.f64 -1 M (.f64 K (.f64 (+.f64 n m) 1/2)))
(fma.f64 (fma.f64 (sqrt.f64 (.f64 (+.f64 n m) 1/2)) (sqrt.f64 K) (sqrt.f64 M)) (-.f64 (sqrt.f64 (.f64 K (*.f64 (+.f64 n m) 1/2))) (sqrt.f64 M)) (fma.f64 (neg.f64 M) 1 M))
(fma.f64 (fma.f64 (sqrt.f64 (.f64 (+.f64 n m) 1/2)) (sqrt.f64 K) (sqrt.f64 M)) (-.f64 (sqrt.f64 (.f64 K (*.f64 (+.f64 n m) 1/2))) (sqrt.f64 M)) (fma.f64 (neg.f64 (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) 2) M))
(fma.f64 (fma.f64 (sqrt.f64 (.f64 (+.f64 n m) 1/2)) (sqrt.f64 K) (sqrt.f64 M)) (-.f64 (sqrt.f64 (.f64 K (*.f64 (+.f64 n m) 1/2))) (sqrt.f64 M)) (+.f64 (neg.f64 M) M))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 M) 2)) (cbrt.f64 M) (.f64 K (.f64 (+.f64 n m) 1/2)))
(fma.f64 (*.f64 K 1/2) (+.f64 n m) (neg.f64 M))
(fma.f64 (.f64 K 1/2) (+.f64 n m) (.f64 (neg.f64 M) 1))
(fma.f64 (.f64 K (pow.f64 (cbrt.f64 (.f64 (+.f64 n m) 1/2)) 2)) (cbrt.f64 (*.f64 (+.f64 n m) 1/2)) (neg.f64 M))
(fma.f64 (.f64 K (pow.f64 (cbrt.f64 (.f64 (+.f64 n m) 1/2)) 2)) (cbrt.f64 (.f64 (+.f64 n m) 1/2)) (.f64 (neg.f64 M) 1))
(fma.f64 (.f64 K (sqrt.f64 (.f64 (+.f64 n m) 1/2))) (sqrt.f64 (*.f64 (+.f64 n m) 1/2)) (neg.f64 M))
(fma.f64 (.f64 K (sqrt.f64 (.f64 (+.f64 n m) 1/2))) (sqrt.f64 (.f64 (+.f64 n m) 1/2)) (.f64 (neg.f64 M) 1))
(fma.f64 (.f64 (.f64 (+.f64 n m) 1/2) (pow.f64 (cbrt.f64 K) 2)) (cbrt.f64 K) (neg.f64 M))
(fma.f64 (.f64 (.f64 (+.f64 n m) 1/2) (pow.f64 (cbrt.f64 K) 2)) (cbrt.f64 K) (*.f64 (neg.f64 M) 1))
(fma.f64 (.f64 (.f64 (+.f64 n m) 1/2) (sqrt.f64 K)) (sqrt.f64 K) (neg.f64 M))
(fma.f64 (.f64 (.f64 (+.f64 n m) 1/2) (sqrt.f64 K)) (sqrt.f64 K) (*.f64 (neg.f64 M) 1))

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

localize364.0ms (1.3%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 (cos.f64 (-.f64 (/.f64 1 (/.f64 2 (*.f64 K (+.f64 m n)))) M)) (exp.f64 l))
✓	99.3%	(/.f64 1 (/.f64 2 (*.f64 K (+.f64 m n))))
✓	99.2%	(/.f64 2 (*.f64 K (+.f64 m n)))
✓	51.7%	(cos.f64 (-.f64 (/.f64 1 (/.f64 2 (*.f64 K (+.f64 m n)))) M))

Compiler

Compiled 77 to 35 computations (54.5% saved)

series9.0ms (0%)

Counts

4 → 180

Calls

45 calls:

Time	Variable		Point	Expression
1.0ms	n	@	0	(/.f64 2 (*.f64 K (+.f64 m n)))
1.0ms	K	@	inf	(/.f64 2 (*.f64 K (+.f64 m n)))
0.0ms	m	@	0	(/.f64 2 (*.f64 K (+.f64 m n)))
0.0ms	m	@	inf	(/.f64 2 (*.f64 K (+.f64 m n)))
0.0ms	K	@	0	(/.f64 2 (*.f64 K (+.f64 m n)))

rewrite100.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1046×	`fma-def`
730×	`expm1-udef`
730×	`log1p-udef`
438×	`fma-neg`
424×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	106
1	402	106
2	5678	106

Stop Event

1×	node limit

Counts

4 → 139

Calls

Call 1

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

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

simplify202.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

824×	`associate-r`
740×	`fma-def`
694×	`associate-l`
536×	`fma-neg`
476×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	571	14361
1	1579	14201
2	5564	14155

Stop Event

1×	node limit

Counts

319 → 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)))))
(/.f64 2 (*.f64 K (+.f64 n m)))
(/.f64 2 (*.f64 K (+.f64 n m)))
(/.f64 2 (*.f64 K (+.f64 n m)))
(/.f64 2 (*.f64 K (+.f64 n m)))
(/.f64 2 (*.f64 K (+.f64 n m)))
(/.f64 2 (*.f64 K (+.f64 n m)))
(/.f64 2 (*.f64 K (+.f64 n m)))
(/.f64 2 (*.f64 K (+.f64 n m)))
(/.f64 2 (*.f64 K (+.f64 n m)))
(/.f64 2 (*.f64 K (+.f64 n m)))
(/.f64 2 (*.f64 K (+.f64 n m)))
(/.f64 2 (*.f64 K (+.f64 n m)))
(/.f64 2 (*.f64 n K))
(+.f64 (.f64 -2 (/.f64 m (.f64 (pow.f64 n 2) K))) (.f64 2 (/.f64 1 (.f64 n K))))
(+.f64 (.f64 -2 (/.f64 m (.f64 (pow.f64 n 2) K))) (+.f64 (.f64 2 (/.f64 (pow.f64 m 2) (.f64 (pow.f64 n 3) K))) (.f64 2 (/.f64 1 (.f64 n K)))))
(+.f64 (.f64 -2 (/.f64 m (.f64 (pow.f64 n 2) K))) (+.f64 (.f64 -2 (/.f64 (pow.f64 m 3) (.f64 (pow.f64 n 4) K))) (+.f64 (.f64 2 (/.f64 (pow.f64 m 2) (.f64 (pow.f64 n 3) K))) (.f64 2 (/.f64 1 (.f64 n K))))))
(/.f64 2 (*.f64 K m))
(+.f64 (.f64 2 (/.f64 1 (.f64 K m))) (.f64 -2 (/.f64 n (.f64 K (pow.f64 m 2)))))
(+.f64 (.f64 2 (/.f64 (pow.f64 n 2) (.f64 K (pow.f64 m 3)))) (+.f64 (.f64 2 (/.f64 1 (.f64 K m))) (.f64 -2 (/.f64 n (.f64 K (pow.f64 m 2))))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (.f64 K (pow.f64 m 4)))) (+.f64 (.f64 2 (/.f64 (pow.f64 n 2) (.f64 K (pow.f64 m 3)))) (+.f64 (.f64 2 (/.f64 1 (.f64 K m))) (.f64 -2 (/.f64 n (.f64 K (pow.f64 m 2)))))))
(/.f64 2 (*.f64 K m))
(+.f64 (.f64 2 (/.f64 1 (.f64 K m))) (.f64 -2 (/.f64 n (.f64 K (pow.f64 m 2)))))
(+.f64 (.f64 2 (/.f64 (pow.f64 n 2) (.f64 K (pow.f64 m 3)))) (+.f64 (.f64 2 (/.f64 1 (.f64 K m))) (.f64 -2 (/.f64 n (.f64 K (pow.f64 m 2))))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (.f64 K (pow.f64 m 4)))) (+.f64 (.f64 2 (/.f64 (pow.f64 n 2) (.f64 K (pow.f64 m 3)))) (+.f64 (.f64 2 (/.f64 1 (.f64 K m))) (.f64 -2 (/.f64 n (.f64 K (pow.f64 m 2)))))))
(/.f64 2 (*.f64 K m))
(+.f64 (.f64 2 (/.f64 1 (.f64 K m))) (.f64 -2 (/.f64 n (.f64 K (pow.f64 m 2)))))
(+.f64 (.f64 2 (/.f64 (pow.f64 n 2) (.f64 K (pow.f64 m 3)))) (+.f64 (.f64 2 (/.f64 1 (.f64 K m))) (.f64 -2 (/.f64 n (.f64 K (pow.f64 m 2))))))
(+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (.f64 K (pow.f64 m 4)))) (+.f64 (.f64 2 (/.f64 (pow.f64 n 2) (.f64 K (pow.f64 m 3)))) (+.f64 (.f64 2 (/.f64 1 (.f64 K m))) (.f64 -2 (/.f64 n (.f64 K (pow.f64 m 2)))))))
(/.f64 2 (*.f64 n K))
(+.f64 (.f64 -2 (/.f64 m (.f64 (pow.f64 n 2) K))) (.f64 2 (/.f64 1 (.f64 n K))))
(+.f64 (.f64 -2 (/.f64 m (.f64 (pow.f64 n 2) K))) (+.f64 (.f64 2 (/.f64 (pow.f64 m 2) (.f64 (pow.f64 n 3) K))) (.f64 2 (/.f64 1 (.f64 n K)))))
(+.f64 (.f64 -2 (/.f64 m (.f64 (pow.f64 n 2) K))) (+.f64 (.f64 -2 (/.f64 (pow.f64 m 3) (.f64 (pow.f64 n 4) K))) (+.f64 (.f64 2 (/.f64 (pow.f64 m 2) (.f64 (pow.f64 n 3) K))) (.f64 2 (/.f64 1 (.f64 n K))))))
(/.f64 2 (*.f64 n K))
(+.f64 (.f64 -2 (/.f64 m (.f64 (pow.f64 n 2) K))) (.f64 2 (/.f64 1 (.f64 n K))))
(+.f64 (.f64 -2 (/.f64 m (.f64 (pow.f64 n 2) K))) (+.f64 (.f64 2 (/.f64 (pow.f64 m 2) (.f64 (pow.f64 n 3) K))) (.f64 2 (/.f64 1 (.f64 n K)))))
(+.f64 (.f64 -2 (/.f64 m (.f64 (pow.f64 n 2) K))) (+.f64 (.f64 -2 (/.f64 (pow.f64 m 3) (.f64 (pow.f64 n 4) K))) (+.f64 (.f64 2 (/.f64 (pow.f64 m 2) (.f64 (pow.f64 n 3) K))) (.f64 2 (/.f64 1 (.f64 n K))))))
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 1/2 (.f64 n K))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(.f64 1/2 (.f64 K m))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(.f64 1/2 (.f64 K m))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(.f64 1/2 (.f64 K m))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(.f64 1/2 (.f64 n K))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(.f64 1/2 (.f64 n K))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(/.f64 (cos.f64 (neg.f64 M)) (exp.f64 l))
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(fma.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) 1/2)) (cos.f64 M))) (cbrt.f64 (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) 1/2)) (cos.f64 M)))) (cbrt.f64 (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) 1/2)) (cos.f64 M))) (.f64 (sin.f64 (.f64 (*.f64 K (+.f64 m n)) 1/2)) (sin.f64 M)))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) 1/2)) (sin.f64 M))) (sqrt.f64 (.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) 1/2)) (sin.f64 M))) (.f64 (cos.f64 (.f64 (*.f64 K (+.f64 m n)) 1/2)) (cos.f64 M)))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) 1/2)) (cos.f64 M))) (sqrt.f64 (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) 1/2)) (cos.f64 M))) (.f64 (sin.f64 (.f64 (*.f64 K (+.f64 m n)) 1/2)) (sin.f64 M)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 2 K) (+.f64 m n)))) 1)
(*.f64 1 (/.f64 (/.f64 2 K) (+.f64 m n)))
(.f64 2 (/.f64 1 (.f64 K (+.f64 m n))))
(*.f64 (/.f64 (/.f64 2 K) (+.f64 m n)) 1)
(*.f64 (cbrt.f64 (/.f64 (/.f64 2 K) (+.f64 m n))) (cbrt.f64 (pow.f64 (/.f64 (/.f64 2 K) (+.f64 m n)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 2 K) (+.f64 m n)) 2)) (cbrt.f64 (/.f64 (/.f64 2 K) (+.f64 m n))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 2 K) (+.f64 m n))) (sqrt.f64 (/.f64 (/.f64 2 K) (+.f64 m n))))
(.f64 -2 (/.f64 1 (.f64 K (neg.f64 (+.f64 m n)))))
(.f64 (/.f64 1 (.f64 K (+.f64 m n))) 2)
(*.f64 (/.f64 2 K) (/.f64 1 (+.f64 m n)))
(.f64 (/.f64 (/.f64 2 K) (+.f64 (pow.f64 n 3) (pow.f64 m 3))) (fma.f64 m m (.f64 n (-.f64 n m))))
(.f64 (/.f64 (/.f64 2 K) (-.f64 (.f64 m m) (*.f64 n n))) (-.f64 m n))
(pow.f64 (/.f64 (/.f64 2 K) (+.f64 m n)) 1)
(pow.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) -1)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 2 K) (+.f64 m n))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 2 K) (+.f64 m n)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 2 K) (+.f64 m n))) 2)
(sqrt.f64 (pow.f64 (/.f64 (/.f64 2 K) (+.f64 m n)) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 2 K) (+.f64 m n))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 2 K) (+.f64 m n)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 2 K) (+.f64 m n)) 3))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 2 K) (+.f64 m n))))
(exp.f64 (log.f64 (/.f64 (/.f64 2 K) (+.f64 m n))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 2 K) (+.f64 m n))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 2 K) (+.f64 m n))))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(+.f64 (.f64 (.f64 K m) 1/2) (.f64 (.f64 K n) 1/2))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 K (+.f64 m n)) 1/2))) 1)
(.f64 1 (.f64 (*.f64 K (+.f64 m n)) 1/2))
(.f64 (.f64 K (+.f64 m n)) 1/2)
(.f64 (.f64 (*.f64 K (+.f64 m n)) 1/2) 1)
(.f64 (cbrt.f64 (.f64 (*.f64 K (+.f64 m n)) 1/2)) (cbrt.f64 (pow.f64 (/.f64 (/.f64 2 K) (+.f64 m n)) -2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 2 K) (+.f64 m n)) -2)) (cbrt.f64 (.f64 (*.f64 K (+.f64 m n)) 1/2)))
(.f64 (sqrt.f64 (.f64 (.f64 K (+.f64 m n)) 1/2)) (sqrt.f64 (.f64 (*.f64 K (+.f64 m n)) 1/2)))
(.f64 -1 (/.f64 1 (/.f64 -2 (.f64 K (+.f64 m n)))))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 1/2 (pow.f64 (/.f64 1 (.f64 K (+.f64 m n))) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 2 K) (+.f64 m n)) 2)) -1) (pow.f64 (cbrt.f64 (/.f64 (/.f64 2 K) (+.f64 m n))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (/.f64 2 K) (+.f64 m n))) -1) (pow.f64 (sqrt.f64 (/.f64 (/.f64 2 K) (+.f64 m n))) -1))
(.f64 -1/2 (.f64 K (neg.f64 (+.f64 m n))))
(.f64 (.f64 1/2 K) (+.f64 m n))
(.f64 (.f64 1/2 (+.f64 m n)) K)
(.f64 (.f64 1/2 (pow.f64 (cbrt.f64 (.f64 K (+.f64 m n))) 2)) (cbrt.f64 (.f64 K (+.f64 m n))))
(.f64 (.f64 1/2 (sqrt.f64 (.f64 K (+.f64 m n)))) (sqrt.f64 (.f64 K (+.f64 m n))))
(*.f64 (/.f64 1 (/.f64 2 K)) (+.f64 m n))
(pow.f64 (/.f64 (/.f64 2 K) (+.f64 m n)) -1)
(pow.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) 1)
(pow.f64 (cbrt.f64 (.f64 (.f64 K (+.f64 m n)) 1/2)) 3)
(pow.f64 (.f64 1/8 (pow.f64 (.f64 K (+.f64 m n)) 3)) 1/3)
(pow.f64 (sqrt.f64 (.f64 (.f64 K (+.f64 m n)) 1/2)) 2)
(sqrt.f64 (pow.f64 (/.f64 (/.f64 2 K) (+.f64 m n)) -2))
(log.f64 (pow.f64 (exp.f64 1/2) (*.f64 K (+.f64 m n))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 K (+.f64 m n)) 1/2))))
(cbrt.f64 (.f64 1/8 (pow.f64 (.f64 K (+.f64 m n)) 3)))
(expm1.f64 (log1p.f64 (.f64 (.f64 K (+.f64 m n)) 1/2)))
(exp.f64 (log.f64 (.f64 (.f64 K (+.f64 m n)) 1/2)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 2 K) (+.f64 m n))) -1))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 K (+.f64 m n)) 1/2)) 1))
(log1p.f64 (expm1.f64 (.f64 (.f64 K (+.f64 m n)) 1/2)))
(fma.f64 (.f64 K m) 1/2 (.f64 (*.f64 K n) 1/2))
(fma.f64 1/2 (.f64 K m) (.f64 1/2 (*.f64 K n)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M)) (exp.f64 l)))) 1)
(.f64 1 (/.f64 (cos.f64 (-.f64 (.f64 (*.f64 K (+.f64 m n)) 1/2) M)) (exp.f64 l)))
(.f64 (cos.f64 (-.f64 (.f64 (*.f64 K (+.f64 m n)) 1/2) M)) (exp.f64 (neg.f64 l)))
(.f64 (/.f64 (cos.f64 (-.f64 (.f64 (*.f64 K (+.f64 m n)) 1/2) M)) (exp.f64 l)) 1)
(.f64 (cbrt.f64 (/.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M)) (exp.f64 l))) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (-.f64 (.f64 (*.f64 K (+.f64 m n)) 1/2) M)) (exp.f64 l))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M)) (exp.f64 l))) 2) (cbrt.f64 (/.f64 (cos.f64 (-.f64 (.f64 (*.f64 K (+.f64 m n)) 1/2) M)) (exp.f64 l))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M))) 2) (.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M))) (exp.f64 (neg.f64 l))))
(.f64 (sqrt.f64 (/.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M)) (exp.f64 l))) (sqrt.f64 (/.f64 (cos.f64 (-.f64 (.f64 (*.f64 K (+.f64 m n)) 1/2) M)) (exp.f64 l))))
(.f64 (sqrt.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M))) (.f64 (sqrt.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M))) (exp.f64 (neg.f64 l))))
(.f64 (neg.f64 (cos.f64 (-.f64 (.f64 (*.f64 K (+.f64 m n)) 1/2) M))) (/.f64 1 (neg.f64 (exp.f64 l))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 (*.f64 K (+.f64 m n)) 1/2) M)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (exp.f64 l) 2))) (/.f64 (cos.f64 (-.f64 (.f64 (*.f64 K (+.f64 m n)) 1/2) M)) (cbrt.f64 (exp.f64 l))))
(.f64 (/.f64 1 (sqrt.f64 (exp.f64 l))) (/.f64 (cos.f64 (-.f64 (.f64 (*.f64 K (+.f64 m n)) 1/2) M)) (sqrt.f64 (exp.f64 l))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M))) 2) 1) (/.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 (*.f64 K (+.f64 m n)) 1/2) M))) (exp.f64 l)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M))) 2) (cbrt.f64 (pow.f64 (exp.f64 l) 2))) (cbrt.f64 (/.f64 (cos.f64 (-.f64 (.f64 (*.f64 K (+.f64 m n)) 1/2) M)) (exp.f64 l))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M))) 2) (sqrt.f64 (exp.f64 l))) (/.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 (*.f64 K (+.f64 m n)) 1/2) M))) (sqrt.f64 (exp.f64 l))))
(.f64 (/.f64 (sqrt.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M))) 1) (/.f64 (sqrt.f64 (cos.f64 (-.f64 (.f64 (*.f64 K (+.f64 m n)) 1/2) M))) (exp.f64 l)))
(.f64 (/.f64 (sqrt.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M))) (cbrt.f64 (pow.f64 (exp.f64 l) 2))) (/.f64 (sqrt.f64 (cos.f64 (-.f64 (.f64 (*.f64 K (+.f64 m n)) 1/2) M))) (cbrt.f64 (exp.f64 l))))
(pow.f64 (/.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M)) (exp.f64 l)) 1)
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M)) (exp.f64 l))) 3)
(pow.f64 (pow.f64 (/.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M)) (exp.f64 l)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M)) (exp.f64 l))) 2)
(pow.f64 (/.f64 (exp.f64 l) (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M))) -1)
(neg.f64 (/.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M)) (neg.f64 (exp.f64 l))))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M)) (exp.f64 l)) 2))
(log.f64 (exp.f64 (/.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M)) (exp.f64 l))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M)) (exp.f64 l)))))
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M)) (exp.f64 l)) 3))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M)) 3) (pow.f64 (exp.f64 l) 3)))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M)) (exp.f64 l))))
(exp.f64 (-.f64 (log.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M))) l))
(exp.f64 (.f64 (-.f64 (log.f64 (cos.f64 (-.f64 (.f64 (*.f64 K (+.f64 m n)) 1/2) M))) l) 1))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M)) (exp.f64 l))))

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 (.f64 (.f64 -1/2 K) (*.f64 (neg.f64 (sin.f64 M)) (+.f64 n m))) (cos.f64 M))
(fma.f64 (.f64 -1/2 K) (.f64 (sin.f64 (neg.f64 M)) (+.f64 n 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 (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)))) (cos.f64 M))
(+.f64 (fma.f64 -1/8 (.f64 (.f64 K K) (.f64 (pow.f64 (+.f64 n m) 2) (cos.f64 M))) (.f64 K (.f64 (.f64 (sin.f64 (neg.f64 M)) (+.f64 n m)) -1/2))) (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 (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))))) (cos.f64 M))
(+.f64 (fma.f64 1/48 (.f64 (sin.f64 (neg.f64 M)) (pow.f64 (.f64 K (+.f64 n m)) 3)) (fma.f64 -1/8 (.f64 (.f64 K K) (.f64 (pow.f64 (+.f64 n m) 2) (cos.f64 M))) (.f64 K (.f64 (.f64 (sin.f64 (neg.f64 M)) (+.f64 n m)) -1/2)))) (cos.f64 M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (fma.f64 1/2 (*.f64 K n) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (*.f64 K m))))
(+.f64 (cos.f64 (fma.f64 1/2 (.f64 K n) (neg.f64 M))) (.f64 -1/2 (.f64 (sin.f64 (fma.f64 1/2 (.f64 K n) (neg.f64 M))) (*.f64 K m))))
(fma.f64 -1/2 (.f64 m (.f64 K (sin.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)))) (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (pow.f64 m 2)))) (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m)))))
(fma.f64 -1/8 (.f64 (.f64 K K) (.f64 (cos.f64 (fma.f64 1/2 (.f64 K n) (neg.f64 M))) (.f64 m m))) (+.f64 (cos.f64 (fma.f64 1/2 (.f64 K n) (neg.f64 M))) (.f64 -1/2 (.f64 (sin.f64 (fma.f64 1/2 (.f64 K n) (neg.f64 M))) (.f64 K m)))))
(fma.f64 -1/8 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (.f64 (.f64 m m) (.f64 K K))) (fma.f64 -1/2 (.f64 m (.f64 K (sin.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)))) (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (pow.f64 m 2)))) (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (+.f64 (.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 K (.f64 n 1/2)) M)) (.f64 (.f64 m m) (.f64 K K))) (fma.f64 -1/2 (.f64 m (.f64 K (sin.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)))) (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)))) (.f64 (sin.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (.f64 (*.f64 (pow.f64 K 3) (pow.f64 m 3)) 1/48)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M))
(cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M)))
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(/.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 (*.f64 K (+.f64 m n)) 1/2) M)))
(/.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M)) (exp.f64 l))
(/.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))) (exp.f64 l))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (exp.f64 l) 2))) (/.f64 (cos.f64 (-.f64 (.f64 (*.f64 K (+.f64 m n)) 1/2) M)) (cbrt.f64 (exp.f64 l))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (exp.f64 l) 2))) (/.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (*.f64 K 1/2)) M)) (cbrt.f64 (exp.f64 l))))
(/.f64 (/.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))) (cbrt.f64 (exp.f64 l))) (cbrt.f64 (pow.f64 (exp.f64 l) 2)))
(.f64 (/.f64 1 (sqrt.f64 (exp.f64 l))) (/.f64 (cos.f64 (-.f64 (.f64 (*.f64 K (+.f64 m n)) 1/2) M)) (sqrt.f64 (exp.f64 l))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 (exp.f64 l))) (cos.f64 (-.f64 (.f64 (+.f64 n m) (*.f64 K 1/2)) M))) (sqrt.f64 (exp.f64 l)))
(/.f64 (/.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))) (sqrt.f64 (exp.f64 l))) (sqrt.f64 (exp.f64 l)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M))) 2) 1) (/.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 (*.f64 K (+.f64 m n)) 1/2) M))) (exp.f64 l)))
(/.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M)) (exp.f64 l))
(/.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))) (exp.f64 l))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M))) 2) (cbrt.f64 (pow.f64 (exp.f64 l) 2))) (cbrt.f64 (/.f64 (cos.f64 (-.f64 (.f64 (*.f64 K (+.f64 m n)) 1/2) M)) (exp.f64 l))))
(.f64 (cbrt.f64 (/.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M)) (exp.f64 l))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (*.f64 K 1/2)) M))) 2) (cbrt.f64 (pow.f64 (exp.f64 l) 2))))
(.f64 (cbrt.f64 (/.f64 (cos.f64 (fma.f64 (+.f64 n m) (.f64 K 1/2) (neg.f64 M))) (exp.f64 l))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M)))) 2) (cbrt.f64 (pow.f64 (exp.f64 l) 2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M))) 2) (sqrt.f64 (exp.f64 l))) (/.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 (*.f64 K (+.f64 m n)) 1/2) M))) (sqrt.f64 (exp.f64 l))))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 (exp.f64 l))) (cos.f64 (-.f64 (.f64 (+.f64 n m) (*.f64 K 1/2)) M))) (sqrt.f64 (exp.f64 l)))
(/.f64 (/.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))) (sqrt.f64 (exp.f64 l))) (sqrt.f64 (exp.f64 l)))
(.f64 (/.f64 (sqrt.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M))) 1) (/.f64 (sqrt.f64 (cos.f64 (-.f64 (.f64 (*.f64 K (+.f64 m n)) 1/2) M))) (exp.f64 l)))
(/.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M)) (exp.f64 l))
(/.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))) (exp.f64 l))
(.f64 (/.f64 (sqrt.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M))) (cbrt.f64 (pow.f64 (exp.f64 l) 2))) (/.f64 (sqrt.f64 (cos.f64 (-.f64 (.f64 (*.f64 K (+.f64 m n)) 1/2) M))) (cbrt.f64 (exp.f64 l))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (exp.f64 l) 2))) (/.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (*.f64 K 1/2)) M)) (cbrt.f64 (exp.f64 l))))
(/.f64 (/.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))) (cbrt.f64 (exp.f64 l))) (cbrt.f64 (pow.f64 (exp.f64 l) 2)))
(pow.f64 (/.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M)) (exp.f64 l)) 1)
(/.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M)) (exp.f64 l))
(/.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))) (exp.f64 l))
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M)) (exp.f64 l))) 3)
(/.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M)) (exp.f64 l))
(/.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))) (exp.f64 l))
(pow.f64 (pow.f64 (/.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M)) (exp.f64 l)) 3) 1/3)
(/.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M)) (exp.f64 l))
(/.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))) (exp.f64 l))
(pow.f64 (sqrt.f64 (/.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M)) (exp.f64 l))) 2)
(/.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M)) (exp.f64 l))
(/.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))) (exp.f64 l))
(pow.f64 (/.f64 (exp.f64 l) (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M))) -1)
(/.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M)) (exp.f64 l))
(/.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))) (exp.f64 l))
(neg.f64 (/.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M)) (neg.f64 (exp.f64 l))))
(/.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M)) (exp.f64 l))
(/.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))) (exp.f64 l))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M)) (exp.f64 l)) 2))
(/.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M)) (exp.f64 l))
(/.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))) (exp.f64 l))
(log.f64 (exp.f64 (/.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M)) (exp.f64 l))))
(/.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M)) (exp.f64 l))
(/.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))) (exp.f64 l))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M)) (exp.f64 l)))))
(/.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M)) (exp.f64 l))
(/.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))) (exp.f64 l))
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M)) (exp.f64 l)) 3))
(/.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M)) (exp.f64 l))
(/.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))) (exp.f64 l))
(cbrt.f64 (/.f64 (pow.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M)) 3) (pow.f64 (exp.f64 l) 3)))
(/.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M)) (exp.f64 l))
(/.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))) (exp.f64 l))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M)) (exp.f64 l))))
(/.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M)) (exp.f64 l))
(/.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))) (exp.f64 l))
(exp.f64 (-.f64 (log.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M))) l))
(/.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M)) (exp.f64 l))
(/.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))) (exp.f64 l))
(exp.f64 (.f64 (-.f64 (log.f64 (cos.f64 (-.f64 (.f64 (*.f64 K (+.f64 m n)) 1/2) M))) l) 1))
(/.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M)) (exp.f64 l))
(/.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))) (exp.f64 l))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M)) (exp.f64 l))))
(/.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M)) (exp.f64 l))
(/.f64 (cos.f64 (fma.f64 (+.f64 n m) (*.f64 K 1/2) (neg.f64 M))) (exp.f64 l))

localize820.0ms (3%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(.f64 K (.f64 (+.f64 m n) 1/2))
	98.4%	(expm1.f64 (log1p.f64 (.f64 K (.f64 (+.f64 m n) 1/2))))
	90.9%	(log1p.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))
	74.4%	(cos.f64 (-.f64 (expm1.f64 (log1p.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))) M))

Compiler

Compiled 84 to 44 computations (47.6% saved)

localize959.0ms (3.5%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(+.f64 (*.f64 M M) (-.f64 l (fabs.f64 (-.f64 n m))))
✓	99.9%	(+.f64 (log.f64 (*.f64 K 1/2)) (log.f64 n))
✓	99.5%	(expm1.f64 (+.f64 (log.f64 (*.f64 K 1/2)) (log.f64 n)))
✓	89.4%	(cos.f64 (-.f64 (expm1.f64 (+.f64 (log.f64 (*.f64 K 1/2)) (log.f64 n))) M))

Compiler

Compiled 117 to 49 computations (58.1% saved)

series111.0ms (0.4%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
31.0ms	K	@	-inf	(cos.f64 (-.f64 (expm1.f64 (+.f64 (log.f64 (*.f64 K 1/2)) (log.f64 n))) M))
25.0ms	K	@	0	(cos.f64 (-.f64 (expm1.f64 (+.f64 (log.f64 (*.f64 K 1/2)) (log.f64 n))) M))
21.0ms	n	@	0	(cos.f64 (-.f64 (expm1.f64 (+.f64 (log.f64 (*.f64 K 1/2)) (log.f64 n))) M))
19.0ms	n	@	-inf	(cos.f64 (-.f64 (expm1.f64 (+.f64 (log.f64 (*.f64 K 1/2)) (log.f64 n))) M))
7.0ms	n	@	inf	(cos.f64 (-.f64 (expm1.f64 (+.f64 (log.f64 (*.f64 K 1/2)) (log.f64 n))) M))

rewrite92.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1866×	`prod-diff`
1398×	`log-prod`
884×	`fma-def`
556×	`expm1-udef`
554×	`log1p-udef`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	69
1	296	65
2	3964	57

Stop Event

1×	node limit

Counts

3 → 134

Calls

Call 1

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

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

simplify118.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1022×	`unswap-sqr`
728×	`fma-neg`
424×	`associate-+r+`
424×	`associate-+l+`
410×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	445	8352
1	1037	7574
2	3251	7260

Stop Event

1×	node limit

Counts

218 → 226

Calls

Call 1

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

Outputs
(cos.f64 (-.f64 (exp.f64 (+.f64 (log.f64 K) (+.f64 (log.f64 1/2) (log.f64 n)))) (+.f64 1 M)))
(cos.f64 (-.f64 (expm1.f64 (log.f64 (.f64 K (.f64 1/2 n)))) M))
(cos.f64 (-.f64 (fma.f64 K (*.f64 1/2 n) -1) M))
(cos.f64 (fma.f64 K (*.f64 1/2 n) (-.f64 -1 M)))
(cos.f64 (-.f64 (exp.f64 (+.f64 (log.f64 K) (+.f64 (log.f64 1/2) (log.f64 n)))) (+.f64 1 M)))
(cos.f64 (-.f64 (expm1.f64 (log.f64 (.f64 K (.f64 1/2 n)))) M))
(cos.f64 (-.f64 (fma.f64 K (*.f64 1/2 n) -1) M))
(cos.f64 (fma.f64 K (*.f64 1/2 n) (-.f64 -1 M)))
(cos.f64 (-.f64 (exp.f64 (+.f64 (log.f64 K) (+.f64 (log.f64 1/2) (log.f64 n)))) (+.f64 1 M)))
(cos.f64 (-.f64 (expm1.f64 (log.f64 (.f64 K (.f64 1/2 n)))) M))
(cos.f64 (-.f64 (fma.f64 K (*.f64 1/2 n) -1) M))
(cos.f64 (fma.f64 K (*.f64 1/2 n) (-.f64 -1 M)))
(cos.f64 (-.f64 (exp.f64 (+.f64 (log.f64 K) (+.f64 (log.f64 1/2) (log.f64 n)))) (+.f64 1 M)))
(cos.f64 (-.f64 (expm1.f64 (log.f64 (.f64 K (.f64 1/2 n)))) M))
(cos.f64 (-.f64 (fma.f64 K (*.f64 1/2 n) -1) M))
(cos.f64 (fma.f64 K (*.f64 1/2 n) (-.f64 -1 M)))
(cos.f64 (-.f64 (exp.f64 (+.f64 (log.f64 1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 K))) (log.f64 n)))) (+.f64 1 M)))
(cos.f64 (-.f64 (expm1.f64 (log.f64 (.f64 K (.f64 1/2 n)))) M))
(cos.f64 (-.f64 (fma.f64 K (*.f64 1/2 n) -1) M))
(cos.f64 (fma.f64 K (*.f64 1/2 n) (-.f64 -1 M)))
(cos.f64 (-.f64 (exp.f64 (+.f64 (log.f64 1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 K))) (log.f64 n)))) (+.f64 1 M)))
(cos.f64 (-.f64 (expm1.f64 (log.f64 (.f64 K (.f64 1/2 n)))) M))
(cos.f64 (-.f64 (fma.f64 K (*.f64 1/2 n) -1) M))
(cos.f64 (fma.f64 K (*.f64 1/2 n) (-.f64 -1 M)))
(cos.f64 (-.f64 (exp.f64 (+.f64 (log.f64 1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 K))) (log.f64 n)))) (+.f64 1 M)))
(cos.f64 (-.f64 (expm1.f64 (log.f64 (.f64 K (.f64 1/2 n)))) M))
(cos.f64 (-.f64 (fma.f64 K (*.f64 1/2 n) -1) M))
(cos.f64 (fma.f64 K (*.f64 1/2 n) (-.f64 -1 M)))
(cos.f64 (-.f64 (exp.f64 (+.f64 (log.f64 1/2) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 K))) (log.f64 n)))) (+.f64 1 M)))
(cos.f64 (-.f64 (expm1.f64 (log.f64 (.f64 K (.f64 1/2 n)))) M))
(cos.f64 (-.f64 (fma.f64 K (*.f64 1/2 n) -1) M))
(cos.f64 (fma.f64 K (*.f64 1/2 n) (-.f64 -1 M)))
(cos.f64 (-.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 K))) (+.f64 (log.f64 -1/2) (log.f64 n)))) (+.f64 1 M)))
(cos.f64 (-.f64 (expm1.f64 (fma.f64 -1 (log.f64 (/.f64 -1 K)) (+.f64 (log.f64 n) (log.f64 -1/2)))) M))
(cos.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 -1 K) -1) (*.f64 n (exp.f64 (log.f64 -1/2))) -1) M))
(cos.f64 (+.f64 -1 (-.f64 (/.f64 (*.f64 n -1/2) (/.f64 -1 K)) M)))
(cos.f64 (-.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 K))) (+.f64 (log.f64 -1/2) (log.f64 n)))) (+.f64 1 M)))
(cos.f64 (-.f64 (expm1.f64 (fma.f64 -1 (log.f64 (/.f64 -1 K)) (+.f64 (log.f64 n) (log.f64 -1/2)))) M))
(cos.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 -1 K) -1) (*.f64 n (exp.f64 (log.f64 -1/2))) -1) M))
(cos.f64 (+.f64 -1 (-.f64 (/.f64 (*.f64 n -1/2) (/.f64 -1 K)) M)))
(cos.f64 (-.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 K))) (+.f64 (log.f64 -1/2) (log.f64 n)))) (+.f64 1 M)))
(cos.f64 (-.f64 (expm1.f64 (fma.f64 -1 (log.f64 (/.f64 -1 K)) (+.f64 (log.f64 n) (log.f64 -1/2)))) M))
(cos.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 -1 K) -1) (*.f64 n (exp.f64 (log.f64 -1/2))) -1) M))
(cos.f64 (+.f64 -1 (-.f64 (/.f64 (*.f64 n -1/2) (/.f64 -1 K)) M)))
(cos.f64 (-.f64 (exp.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 K))) (+.f64 (log.f64 -1/2) (log.f64 n)))) (+.f64 1 M)))
(cos.f64 (-.f64 (expm1.f64 (fma.f64 -1 (log.f64 (/.f64 -1 K)) (+.f64 (log.f64 n) (log.f64 -1/2)))) M))
(cos.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 -1 K) -1) (*.f64 n (exp.f64 (log.f64 -1/2))) -1) M))
(cos.f64 (+.f64 -1 (-.f64 (/.f64 (*.f64 n -1/2) (/.f64 -1 K)) M)))
(cos.f64 (-.f64 (exp.f64 (+.f64 (log.f64 (*.f64 1/2 K)) (log.f64 n))) (+.f64 1 M)))
(cos.f64 (-.f64 (expm1.f64 (log.f64 (.f64 K (.f64 1/2 n)))) M))
(cos.f64 (-.f64 (fma.f64 K (*.f64 1/2 n) -1) M))
(cos.f64 (fma.f64 K (*.f64 1/2 n) (-.f64 -1 M)))
(cos.f64 (-.f64 (exp.f64 (+.f64 (log.f64 (*.f64 1/2 K)) (log.f64 n))) (+.f64 1 M)))
(cos.f64 (-.f64 (expm1.f64 (log.f64 (.f64 K (.f64 1/2 n)))) M))
(cos.f64 (-.f64 (fma.f64 K (*.f64 1/2 n) -1) M))
(cos.f64 (fma.f64 K (*.f64 1/2 n) (-.f64 -1 M)))
(cos.f64 (-.f64 (exp.f64 (+.f64 (log.f64 (*.f64 1/2 K)) (log.f64 n))) (+.f64 1 M)))
(cos.f64 (-.f64 (expm1.f64 (log.f64 (.f64 K (.f64 1/2 n)))) M))
(cos.f64 (-.f64 (fma.f64 K (*.f64 1/2 n) -1) M))
(cos.f64 (fma.f64 K (*.f64 1/2 n) (-.f64 -1 M)))
(cos.f64 (-.f64 (exp.f64 (+.f64 (log.f64 (*.f64 1/2 K)) (log.f64 n))) (+.f64 1 M)))
(cos.f64 (-.f64 (expm1.f64 (log.f64 (.f64 K (.f64 1/2 n)))) M))
(cos.f64 (-.f64 (fma.f64 K (*.f64 1/2 n) -1) M))
(cos.f64 (fma.f64 K (*.f64 1/2 n) (-.f64 -1 M)))
(cos.f64 (-.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 K)) (.f64 -1 (log.f64 (/.f64 1 n))))) (+.f64 1 M)))
(cos.f64 (-.f64 (expm1.f64 (log.f64 (.f64 K (.f64 1/2 n)))) M))
(cos.f64 (-.f64 (fma.f64 K (*.f64 1/2 n) -1) M))
(cos.f64 (fma.f64 K (*.f64 1/2 n) (-.f64 -1 M)))
(cos.f64 (-.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 K)) (.f64 -1 (log.f64 (/.f64 1 n))))) (+.f64 1 M)))
(cos.f64 (-.f64 (expm1.f64 (log.f64 (.f64 K (.f64 1/2 n)))) M))
(cos.f64 (-.f64 (fma.f64 K (*.f64 1/2 n) -1) M))
(cos.f64 (fma.f64 K (*.f64 1/2 n) (-.f64 -1 M)))
(cos.f64 (-.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 K)) (.f64 -1 (log.f64 (/.f64 1 n))))) (+.f64 1 M)))
(cos.f64 (-.f64 (expm1.f64 (log.f64 (.f64 K (.f64 1/2 n)))) M))
(cos.f64 (-.f64 (fma.f64 K (*.f64 1/2 n) -1) M))
(cos.f64 (fma.f64 K (*.f64 1/2 n) (-.f64 -1 M)))
(cos.f64 (-.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 K)) (.f64 -1 (log.f64 (/.f64 1 n))))) (+.f64 1 M)))
(cos.f64 (-.f64 (expm1.f64 (log.f64 (.f64 K (.f64 1/2 n)))) M))
(cos.f64 (-.f64 (fma.f64 K (*.f64 1/2 n) -1) M))
(cos.f64 (fma.f64 K (*.f64 1/2 n) (-.f64 -1 M)))
(cos.f64 (-.f64 (exp.f64 (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (.f64 1/2 K))))) (+.f64 1 M)))
(cos.f64 (-.f64 (expm1.f64 (+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 K 1/2))))) M))
(cos.f64 (-.f64 (fma.f64 -1 (.f64 (.f64 K 1/2) (exp.f64 (neg.f64 (log.f64 (/.f64 -1 n))))) -1) M))
(cos.f64 (-.f64 (fma.f64 (neg.f64 (*.f64 K 1/2)) (pow.f64 (/.f64 -1 n) -1) -1) M))
(cos.f64 (-.f64 (exp.f64 (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (.f64 1/2 K))))) (+.f64 1 M)))
(cos.f64 (-.f64 (expm1.f64 (+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 K 1/2))))) M))
(cos.f64 (-.f64 (fma.f64 -1 (.f64 (.f64 K 1/2) (exp.f64 (neg.f64 (log.f64 (/.f64 -1 n))))) -1) M))
(cos.f64 (-.f64 (fma.f64 (neg.f64 (*.f64 K 1/2)) (pow.f64 (/.f64 -1 n) -1) -1) M))
(cos.f64 (-.f64 (exp.f64 (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (.f64 1/2 K))))) (+.f64 1 M)))
(cos.f64 (-.f64 (expm1.f64 (+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 K 1/2))))) M))
(cos.f64 (-.f64 (fma.f64 -1 (.f64 (.f64 K 1/2) (exp.f64 (neg.f64 (log.f64 (/.f64 -1 n))))) -1) M))
(cos.f64 (-.f64 (fma.f64 (neg.f64 (*.f64 K 1/2)) (pow.f64 (/.f64 -1 n) -1) -1) M))
(cos.f64 (-.f64 (exp.f64 (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (.f64 1/2 K))))) (+.f64 1 M)))
(cos.f64 (-.f64 (expm1.f64 (+.f64 (log.f64 -1) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 K 1/2))))) M))
(cos.f64 (-.f64 (fma.f64 -1 (.f64 (.f64 K 1/2) (exp.f64 (neg.f64 (log.f64 (/.f64 -1 n))))) -1) M))
(cos.f64 (-.f64 (fma.f64 (neg.f64 (*.f64 K 1/2)) (pow.f64 (/.f64 -1 n) -1) -1) M))
(cos.f64 (-.f64 (exp.f64 (+.f64 (log.f64 (*.f64 1/2 K)) (log.f64 n))) 1))
(cos.f64 (expm1.f64 (log.f64 (.f64 K (.f64 1/2 n)))))
(cos.f64 (fma.f64 K (*.f64 1/2 n) -1))
(+.f64 (cos.f64 (-.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 K)) (log.f64 n))) 1)) (.f64 (sin.f64 (-.f64 (exp.f64 (+.f64 (log.f64 (*.f64 1/2 K)) (log.f64 n))) 1)) M))
(+.f64 (cos.f64 (expm1.f64 (log.f64 (.f64 K (.f64 1/2 n))))) (.f64 M (sin.f64 (expm1.f64 (log.f64 (.f64 K (*.f64 1/2 n)))))))
(fma.f64 M (sin.f64 (fma.f64 K (.f64 1/2 n) -1)) (cos.f64 (fma.f64 K (.f64 1/2 n) -1)))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (-.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 K)) (log.f64 n))) 1)) (pow.f64 M 2))) (+.f64 (cos.f64 (-.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 K)) (log.f64 n))) 1)) (.f64 (sin.f64 (-.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 K)) (log.f64 n))) 1)) M)))
(fma.f64 -1/2 (.f64 (cos.f64 (expm1.f64 (log.f64 (.f64 K (.f64 1/2 n))))) (.f64 M M)) (+.f64 (cos.f64 (expm1.f64 (log.f64 (.f64 K (.f64 1/2 n))))) (.f64 M (sin.f64 (expm1.f64 (log.f64 (.f64 K (*.f64 1/2 n))))))))
(fma.f64 -1/2 (.f64 M (.f64 M (cos.f64 (fma.f64 K (.f64 1/2 n) -1)))) (fma.f64 M (sin.f64 (fma.f64 K (.f64 1/2 n) -1)) (cos.f64 (fma.f64 K (*.f64 1/2 n) -1))))
(+.f64 (.f64 M (sin.f64 (fma.f64 K (.f64 1/2 n) -1))) (.f64 (+.f64 (.f64 -1/2 (.f64 M M)) 1) (cos.f64 (fma.f64 K (.f64 1/2 n) -1))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (-.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 K)) (log.f64 n))) 1)) (pow.f64 M 2))) (+.f64 (cos.f64 (-.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 K)) (log.f64 n))) 1)) (+.f64 (.f64 (sin.f64 (-.f64 (exp.f64 (+.f64 (log.f64 (.f64 1/2 K)) (log.f64 n))) 1)) M) (.f64 -1/6 (.f64 (sin.f64 (-.f64 (exp.f64 (+.f64 (log.f64 (*.f64 1/2 K)) (log.f64 n))) 1)) (pow.f64 M 3))))))
(fma.f64 -1/2 (.f64 (cos.f64 (expm1.f64 (log.f64 (.f64 K (.f64 1/2 n))))) (.f64 M M)) (+.f64 (cos.f64 (expm1.f64 (log.f64 (.f64 K (.f64 1/2 n))))) (fma.f64 (sin.f64 (expm1.f64 (log.f64 (.f64 K (.f64 1/2 n))))) M (.f64 -1/6 (.f64 (sin.f64 (expm1.f64 (log.f64 (.f64 K (.f64 1/2 n))))) (pow.f64 M 3))))))
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(cos.f64 (-.f64 (fma.f64 K (*.f64 1/2 n) -1) M))
(cos.f64 (fma.f64 K (*.f64 1/2 n) (-.f64 -1 M)))
(expm1.f64 (log1p.f64 (cos.f64 (-.f64 (fma.f64 K (*.f64 1/2 n) -1) M))))
(cos.f64 (-.f64 (expm1.f64 (log.f64 (.f64 K (.f64 1/2 n)))) M))
(cos.f64 (-.f64 (fma.f64 K (*.f64 1/2 n) -1) M))
(cos.f64 (fma.f64 K (*.f64 1/2 n) (-.f64 -1 M)))
(exp.f64 (log.f64 (cos.f64 (-.f64 (fma.f64 K (*.f64 1/2 n) -1) M))))
(cos.f64 (-.f64 (expm1.f64 (log.f64 (.f64 K (.f64 1/2 n)))) M))
(cos.f64 (-.f64 (fma.f64 K (*.f64 1/2 n) -1) M))
(cos.f64 (fma.f64 K (*.f64 1/2 n) (-.f64 -1 M)))
(exp.f64 (.f64 (log.f64 (cos.f64 (-.f64 (fma.f64 K (.f64 1/2 n) -1) M))) 1))
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(cos.f64 (fma.f64 K (*.f64 1/2 n) (-.f64 -1 M)))
(log1p.f64 (expm1.f64 (cos.f64 (-.f64 (fma.f64 K (*.f64 1/2 n) -1) M))))
(cos.f64 (-.f64 (expm1.f64 (log.f64 (.f64 K (.f64 1/2 n)))) M))
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(cos.f64 (fma.f64 K (*.f64 1/2 n) (-.f64 -1 M)))
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(+.f64 (.f64 K (.f64 1/2 n)) -1)
(expm1.f64 (log.f64 (.f64 K (.f64 1/2 n))))
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(+.f64 0 (fma.f64 K (*.f64 1/2 n) -1))
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(/.f64 (-.f64 (pow.f64 (log.f64 (.f64 K 1/2)) 2) (pow.f64 (log.f64 n) 2)) (log.f64 (.f64 1/2 (/.f64 K n))))
(/.f64 (+.f64 (pow.f64 (log.f64 n) 3) (pow.f64 (log.f64 (.f64 K 1/2)) 3)) (fma.f64 (log.f64 n) (log.f64 (/.f64 n (.f64 K 1/2))) (pow.f64 (log.f64 (*.f64 K 1/2)) 2)))
(.f64 (+.f64 (pow.f64 (log.f64 n) 3) (pow.f64 (log.f64 (.f64 K 1/2)) 3)) (/.f64 1 (fma.f64 (log.f64 n) (log.f64 (/.f64 n (.f64 K 1/2))) (pow.f64 (log.f64 (.f64 K 1/2)) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 n) 3) (pow.f64 (log.f64 (.f64 K 1/2)) 3)) (fma.f64 (log.f64 n) (log.f64 (.f64 2 (/.f64 n K))) (pow.f64 (log.f64 (*.f64 K 1/2)) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 n) 3) (pow.f64 (log.f64 (.f64 K 1/2)) 3)) (+.f64 (pow.f64 (log.f64 n) 2) (-.f64 (pow.f64 (log.f64 (.f64 K 1/2)) 2) (.f64 (log.f64 (.f64 K 1/2)) (log.f64 n)))))
(/.f64 (+.f64 (pow.f64 (log.f64 n) 3) (pow.f64 (log.f64 (.f64 K 1/2)) 3)) (+.f64 (pow.f64 (log.f64 n) 2) (-.f64 (pow.f64 (log.f64 (.f64 K 1/2)) 2) (.f64 (log.f64 n) (log.f64 (.f64 K 1/2))))))
(/.f64 (+.f64 (pow.f64 (log.f64 n) 3) (pow.f64 (log.f64 (.f64 K 1/2)) 3)) (+.f64 (pow.f64 (log.f64 n) 2) (.f64 (log.f64 (*.f64 K 1/2)) (log.f64 (/.f64 K (/.f64 n 1/2))))))
(/.f64 (+.f64 (pow.f64 (log.f64 n) 3) (pow.f64 (log.f64 (.f64 K 1/2)) 3)) (+.f64 (pow.f64 (log.f64 n) 2) (.f64 (log.f64 (.f64 K 1/2)) (log.f64 (.f64 1/2 (/.f64 K n))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (.f64 K 1/2)) 2) (pow.f64 (log.f64 n) 2)) (log.f64 (/.f64 (.f64 K 1/2) n)))
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 K 1/2)) 2) (pow.f64 (log.f64 n) 2)) (log.f64 (/.f64 K (/.f64 n 1/2))))
(/.f64 (-.f64 (pow.f64 (log.f64 (.f64 K 1/2)) 2) (pow.f64 (log.f64 n) 2)) (log.f64 (.f64 1/2 (/.f64 K n))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 n) 3) (pow.f64 (log.f64 (.f64 K 1/2)) 3))) (neg.f64 (fma.f64 (log.f64 n) (log.f64 (/.f64 n (.f64 K 1/2))) (pow.f64 (log.f64 (*.f64 K 1/2)) 2))))
(.f64 (+.f64 (pow.f64 (log.f64 n) 3) (pow.f64 (log.f64 (.f64 K 1/2)) 3)) (/.f64 1 (fma.f64 (log.f64 n) (log.f64 (/.f64 n (.f64 K 1/2))) (pow.f64 (log.f64 (.f64 K 1/2)) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 n) 3) (pow.f64 (log.f64 (.f64 K 1/2)) 3)) (fma.f64 (log.f64 n) (log.f64 (/.f64 n (.f64 K 1/2))) (pow.f64 (log.f64 (*.f64 K 1/2)) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 n) 3) (pow.f64 (log.f64 (.f64 K 1/2)) 3)) (fma.f64 (log.f64 n) (log.f64 (.f64 2 (/.f64 n K))) (pow.f64 (log.f64 (*.f64 K 1/2)) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (.f64 K 1/2)) 2) (pow.f64 (log.f64 n) 2))) (neg.f64 (log.f64 (/.f64 (.f64 K 1/2) n))))
(/.f64 (-.f64 (pow.f64 (log.f64 (*.f64 K 1/2)) 2) (pow.f64 (log.f64 n) 2)) (log.f64 (/.f64 K (/.f64 n 1/2))))
(/.f64 (-.f64 (pow.f64 (log.f64 (.f64 K 1/2)) 2) (pow.f64 (log.f64 n) 2)) (log.f64 (.f64 1/2 (/.f64 K n))))
(/.f64 (-.f64 (pow.f64 (log.f64 n) 2) (pow.f64 (log.f64 (.f64 K 1/2)) 2)) (log.f64 (/.f64 n (.f64 K 1/2))))
(/.f64 (-.f64 (pow.f64 (log.f64 n) 2) (pow.f64 (log.f64 (.f64 K 1/2)) 2)) (log.f64 (.f64 2 (/.f64 n K))))
(pow.f64 (log.f64 (.f64 K (.f64 1/2 n))) 1)
(log.f64 (.f64 K (.f64 1/2 n)))
(log.f64 (.f64 1/2 (.f64 K n)))
(pow.f64 (cbrt.f64 (log.f64 (.f64 K (.f64 1/2 n)))) 3)
(log.f64 (.f64 K (.f64 1/2 n)))
(log.f64 (.f64 1/2 (.f64 K n)))
(pow.f64 (pow.f64 (log.f64 (.f64 K (.f64 1/2 n))) 3) 1/3)
(log.f64 (.f64 K (.f64 1/2 n)))
(log.f64 (.f64 1/2 (.f64 K n)))
(pow.f64 (sqrt.f64 (log.f64 (.f64 K (.f64 1/2 n)))) 2)
(log.f64 (.f64 K (.f64 1/2 n)))
(log.f64 (.f64 1/2 (.f64 K n)))
(sqrt.f64 (pow.f64 (log.f64 (.f64 K (.f64 1/2 n))) 2))
(log.f64 (.f64 K (.f64 1/2 n)))
(log.f64 (.f64 1/2 (.f64 K n)))
(log.f64 (.f64 K (.f64 1/2 n)))
(log.f64 (.f64 1/2 (.f64 K n)))
(log.f64 (+.f64 1 (fma.f64 K (*.f64 1/2 n) -1)))
(log.f64 (.f64 K (.f64 1/2 n)))
(log.f64 (.f64 1/2 (.f64 K n)))
(log.f64 (.f64 (.f64 K 1/2) (+.f64 1 (-.f64 n 1))))
(log.f64 (.f64 K (.f64 1/2 n)))
(log.f64 (.f64 1/2 (.f64 K n)))
(log.f64 (*.f64 (+.f64 1 (fma.f64 K 1/2 -1)) n))
(log.f64 (.f64 K (.f64 1/2 n)))
(log.f64 (.f64 1/2 (.f64 K n)))
(log.f64 (*.f64 (+.f64 1 (fma.f64 K 1/2 -1)) (+.f64 1 (-.f64 n 1))))
(log.f64 (.f64 K (.f64 1/2 n)))
(log.f64 (.f64 1/2 (.f64 K n)))
(log.f64 (*.f64 n (+.f64 1 (fma.f64 K 1/2 -1))))
(log.f64 (.f64 K (.f64 1/2 n)))
(log.f64 (.f64 1/2 (.f64 K n)))
(log.f64 (.f64 (+.f64 1 (-.f64 n 1)) (.f64 K 1/2)))
(log.f64 (.f64 K (.f64 1/2 n)))
(log.f64 (.f64 1/2 (.f64 K n)))
(log.f64 (*.f64 (+.f64 1 (-.f64 n 1)) (+.f64 1 (fma.f64 K 1/2 -1))))
(log.f64 (.f64 K (.f64 1/2 n)))
(log.f64 (.f64 1/2 (.f64 K n)))
(cbrt.f64 (pow.f64 (log.f64 (.f64 K (.f64 1/2 n))) 3))
(log.f64 (.f64 K (.f64 1/2 n)))
(log.f64 (.f64 1/2 (.f64 K n)))
(expm1.f64 (log1p.f64 (log.f64 (.f64 K (.f64 1/2 n)))))
(log.f64 (.f64 K (.f64 1/2 n)))
(log.f64 (.f64 1/2 (.f64 K n)))
(exp.f64 (log.f64 (log.f64 (.f64 K (.f64 1/2 n)))))
(log.f64 (.f64 K (.f64 1/2 n)))
(log.f64 (.f64 1/2 (.f64 K n)))
(exp.f64 (.f64 (log.f64 (log.f64 (.f64 K (*.f64 1/2 n)))) 1))
(log.f64 (.f64 K (.f64 1/2 n)))
(log.f64 (.f64 1/2 (.f64 K n)))
(log1p.f64 (fma.f64 K (*.f64 1/2 n) -1))
(log.f64 (.f64 K (.f64 1/2 n)))
(log.f64 (.f64 1/2 (.f64 K n)))
(fma.f64 (log.f64 (*.f64 K 1/2)) 1 (log.f64 n))
(log.f64 (.f64 K (.f64 1/2 n)))
(log.f64 (.f64 1/2 (.f64 K n)))
(fma.f64 (log.f64 n) 1 (log.f64 (*.f64 K 1/2)))
(log.f64 (.f64 K (.f64 1/2 n)))
(log.f64 (.f64 1/2 (.f64 K n)))
(fma.f64 1 (log.f64 (*.f64 K 1/2)) (log.f64 n))
(log.f64 (.f64 K (.f64 1/2 n)))
(log.f64 (.f64 1/2 (.f64 K n)))
(fma.f64 1 (log.f64 n) (log.f64 (*.f64 K 1/2)))
(log.f64 (.f64 K (.f64 1/2 n)))
(log.f64 (.f64 1/2 (.f64 K n)))
(fma.f64 1 (log.f64 K) (log.f64 (*.f64 1/2 n)))
(log.f64 (.f64 K (.f64 1/2 n)))
(log.f64 (.f64 1/2 (.f64 K n)))
(fma.f64 (cbrt.f64 (log.f64 n)) (pow.f64 (cbrt.f64 (log.f64 n)) 2) (log.f64 (*.f64 K 1/2)))
(log.f64 (.f64 K (.f64 1/2 n)))
(log.f64 (.f64 1/2 (.f64 K n)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 n)) 2) (cbrt.f64 (log.f64 n)) (log.f64 (*.f64 K 1/2)))
(log.f64 (.f64 K (.f64 1/2 n)))
(log.f64 (.f64 1/2 (.f64 K n)))
(fma.f64 (cbrt.f64 (log.f64 (.f64 K 1/2))) (pow.f64 (cbrt.f64 (log.f64 (.f64 K 1/2))) 2) (log.f64 n))
(log.f64 (.f64 K (.f64 1/2 n)))
(log.f64 (.f64 1/2 (.f64 K n)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 K 1/2))) 2) (cbrt.f64 (log.f64 (.f64 K 1/2))) (log.f64 n))
(log.f64 (.f64 K (.f64 1/2 n)))
(log.f64 (.f64 1/2 (.f64 K n)))
(fma.f64 (sqrt.f64 (log.f64 n)) (sqrt.f64 (log.f64 n)) (log.f64 (*.f64 K 1/2)))
(log.f64 (.f64 K (.f64 1/2 n)))
(log.f64 (.f64 1/2 (.f64 K n)))
(fma.f64 (sqrt.f64 (log.f64 (.f64 K 1/2))) (sqrt.f64 (log.f64 (.f64 K 1/2))) (log.f64 n))
(log.f64 (.f64 K (.f64 1/2 n)))
(log.f64 (.f64 1/2 (.f64 K n)))
(fma.f64 (.f64 (cbrt.f64 (log.f64 K)) (cbrt.f64 (log.f64 K))) (cbrt.f64 (log.f64 K)) (log.f64 (.f64 1/2 n)))
(log.f64 (.f64 K (.f64 1/2 n)))
(log.f64 (.f64 1/2 (.f64 K n)))
(fma.f64 (sqrt.f64 (log.f64 K)) (sqrt.f64 (log.f64 K)) (log.f64 (*.f64 1/2 n)))
(log.f64 (.f64 K (.f64 1/2 n)))
(log.f64 (.f64 1/2 (.f64 K n)))

eval1.5s (5.5%)

Compiler: Compiled 65331 to 35525 computations (45.6% saved)

prune655.0ms (2.4%)

Pruning

54 alts after pruning (52 fresh and 2 done)

	Pruned	Kept	Total
New	1567	38	1605
Fresh	15	14	29
Picked	1	0	1
Done	4	2	6
Total	1587	54	1641

Accurracy

92.4%

Counts

1641 → 54

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.0%	(fma.f64 (cos.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M)))) (cos.f64 1) (.f64 (sin.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 (+.f64 n m) (*.f64 K 1/2)) M)))) (sin.f64 1)))
	5.6%	(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))))
	5.9%	(pow.f64 (cbrt.f64 (cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M)))) 3)
	42.9%	(/.f64 (+.f64 (.f64 (cos.f64 (.f64 K (.f64 1/2 n))) (cos.f64 (+.f64 1 M))) (.f64 (sin.f64 (.f64 K (.f64 1/2 n))) (sin.f64 (+.f64 1 M)))) (exp.f64 (+.f64 (*.f64 M M) (-.f64 l (fabs.f64 (-.f64 n m))))))
	80.8%	(/.f64 (.f64 3 (pow.f64 (cbrt.f64 (.f64 1/3 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) 3)) (exp.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m))))))
	80.8%	(/.f64 (.f64 3 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M))))) 3))) (exp.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m))))))
	42.9%	(/.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 K (.f64 1/2 n) (-.f64 -1 M))))))) (exp.f64 (+.f64 (*.f64 M M) (-.f64 l (fabs.f64 (-.f64 n m))))))
	27.8%	(/.f64 (expm1.f64 (log1p.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M)))) (exp.f64 l))
	11.2%	(/.f64 (cos.f64 (-.f64 (fma.f64 -1 (.f64 (.f64 K 1/2) (exp.f64 (neg.f64 (log.f64 (/.f64 -1 n))))) -1) M)) (exp.f64 (+.f64 (*.f64 M M) (-.f64 l (fabs.f64 (-.f64 n m))))))
	20.7%	(/.f64 (cos.f64 (-.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (/.f64 2 K) (+.f64 n m)) 2))) (cbrt.f64 (/.f64 (/.f64 2 K) (+.f64 n m)))) M)) (exp.f64 l))
	27.8%	(/.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 l))
	27.7%	(/.f64 (cos.f64 (-.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 2 K) (+.f64 m n))) 3)) M)) (exp.f64 l))
	27.8%	(/.f64 (cos.f64 (-.f64 (/.f64 1 (/.f64 (/.f64 2 K) (+.f64 n m))) M)) (exp.f64 l))
	29.5%	(/.f64 (cos.f64 (-.f64 (/.f64 1 (/.f64 (/.f64 2 K) n)) M)) (exp.f64 l))
	29.5%	(/.f64 (cos.f64 (-.f64 (/.f64 1 (/.f64 2 (*.f64 n K))) M)) (exp.f64 l))
	30.1%	(/.f64 (cos.f64 (-.f64 (/.f64 1 (/.f64 2 (*.f64 K m))) M)) (exp.f64 l))
	17.1%	(/.f64 (cos.f64 (-.f64 (/.f64 1 (.f64 (/.f64 (/.f64 2 K) (-.f64 (.f64 m m) (*.f64 n n))) (-.f64 m n))) M)) (exp.f64 l))
	27.8%	(/.f64 (cos.f64 (-.f64 (/.f64 1 (*.f64 (/.f64 2 K) (/.f64 1 (+.f64 m n)))) M)) (exp.f64 l))
	20.3%	(/.f64 (cos.f64 (-.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 2 K) (+.f64 m n)) -2)) (cbrt.f64 (.f64 (*.f64 K (+.f64 m n)) 1/2))) M)) (exp.f64 l))
	19.3%	(/.f64 (cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 m n) 2)) M)) (exp.f64 (+.f64 l (-.f64 m n))))
	41.9%	(/.f64 (cos.f64 (-.f64 (.f64 K (/.f64 (+.f64 m n) 2)) M)) (exp.f64 (.f64 M M)))
	44.4%	(/.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (exp.f64 (+.f64 (.f64 (.f64 n n) 1/4) (-.f64 l (fabs.f64 (-.f64 n m))))))
	5.7%	(/.f64 (cos.f64 (-.f64 (expm1.f64 (-.f64 (log.f64 (*.f64 -1/2 (+.f64 n m))) (log.f64 (/.f64 -1 K)))) M)) (exp.f64 l))
	9.6%	(/.f64 (cos.f64 (-.f64 (expm1.f64 (+.f64 (log.f64 (*.f64 K 1/2)) (log.f64 n))) M)) (exp.f64 l))
	23.4%	(/.f64 (cos.f64 (-.f64 (expm1.f64 (.f64 (+.f64 n m) (.f64 K 1/2))) M)) (exp.f64 l))
	19.9%	(/.f64 (cos.f64 (-.f64 (expm1.f64 (expm1.f64 (log1p.f64 (log1p.f64 (.f64 1/2 (.f64 K (+.f64 m n))))))) M)) (exp.f64 l))
✓	45.1%	(/.f64 (cos.f64 (-.f64 (exp.f64 (.f64 (.f64 (log.f64 (.f64 K (.f64 n 1/2))) 3) 1/3)) M)) (exp.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m))))))
	27.8%	(/.f64 (cos.f64 (.f64 (+.f64 n m) (.f64 K 1/2))) (exp.f64 l))
✓	54.3%	(/.f64 (cos.f64 M) (exp.f64 (+.f64 (.f64 (.f64 n n) 1/4) (-.f64 l (fabs.f64 (-.f64 n m))))))
	56.0%	(/.f64 (cos.f64 M) (exp.f64 (+.f64 (.f64 (.f64 m m) 1/4) (-.f64 l (fabs.f64 (-.f64 n m))))))
	49.1%	(/.f64 (cos.f64 M) (exp.f64 (+.f64 (*.f64 M M) (-.f64 l (fabs.f64 (-.f64 n m))))))
	62.7%	(/.f64 (cos.f64 M) (exp.f64 (+.f64 (log1p.f64 (expm1.f64 (.f64 m (.f64 m 1/4)))) (-.f64 l (fabs.f64 (-.f64 n m))))))
	33.1%	(/.f64 (cos.f64 M) (exp.f64 l))
	3.9%	(+.f64 (fma.f64 -1/8 (.f64 (.f64 (.f64 K K) (pow.f64 (+.f64 n m) 2)) (cos.f64 M)) (.f64 (.f64 -1/2 K) (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)))) (cos.f64 M))
	5.1%	(+.f64 (fma.f64 -1 (fma.f64 (fma.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) -1/3 (.f64 1/2 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))) (pow.f64 l 3) (.f64 l (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))) (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) (.f64 1/2 (.f64 l l)))) (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M)))
	5.1%	(+.f64 (fma.f64 -1 (.f64 (.f64 l l) (.f64 -1/2 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M)))) (fma.f64 -1 (.f64 (fma.f64 -1 (.f64 -1/2 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M))) (.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M)) -1/3)) (pow.f64 l 3)) (.f64 (neg.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M))) l))) (cos.f64 (-.f64 (.f64 (+.f64 n m) (*.f64 K 1/2)) M)))
	5.7%	(+.f64 (.f64 (.f64 -1/2 K) (*.f64 (neg.f64 (sin.f64 M)) (+.f64 n m))) (cos.f64 M))
	5.1%	(+.f64 (.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 n m) 1/2) (neg.f64 M))) (-.f64 1 l)) (.f64 (.f64 l l) (-.f64 (.f64 1/2 (cos.f64 (fma.f64 K (.f64 (+.f64 n m) 1/2) (neg.f64 M)))) (.f64 l (.f64 1/6 (cos.f64 (fma.f64 K (*.f64 (+.f64 n m) 1/2) (neg.f64 M))))))))
	5.6%	(+.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)))
	5.2%	(+.f64 (.f64 -1 (+.f64 (.f64 (.f64 l l) (.f64 -1/2 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)))) (.f64 l (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))))) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) M)))
	5.6%	(+.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))))
	27.8%	(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 (*.f64 K (+.f64 m n)) 1/2) M)))
	5.8%	(.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 n m) 1/2) (neg.f64 M))) (-.f64 1 l))
	28.0%	(.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (cos.f64 (fma.f64 K (.f64 (+.f64 n m) 1/2) (neg.f64 M))) (exp.f64 l))))))
	5.9%	(cos.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 n m) 1/2)) 2) (.f64 (cbrt.f64 (*.f64 (+.f64 n m) 1/2)) K) (neg.f64 M)))
	2.8%	(cos.f64 (fma.f64 (.f64 K (sqrt.f64 (.f64 (+.f64 n m) 1/2))) (sqrt.f64 (*.f64 (+.f64 n m) 1/2)) (neg.f64 M)))
	3.7%	(cos.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 1/8) 1/3) M))
	5.8%	(cos.f64 (-.f64 (pow.f64 (cbrt.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) 3) M))
	6.3%	(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
	6.0%	(cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
	5.1%	(cos.f64 (-.f64 (expm1.f64 (log1p.f64 (.f64 K (.f64 (+.f64 n m) 1/2)))) M))
	4.9%	(cos.f64 (-.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 1/8)) M))
	5.9%	(cos.f64 (.f64 (+.f64 n m) (.f64 K 1/2)))
	6.5%	(cos.f64 M)

Compiler

Compiled 1393 to 997 computations (28.4% saved)

regimes533.0ms (1.9%)

Counts

105 → 1

Calls

Call 1

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

Outputs
(/.f64 (cos.f64 M) (exp.f64 (+.f64 (log1p.f64 (expm1.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2))) (-.f64 l (fabs.f64 (-.f64 n m))))))

Calls

6 calls:

147.0ms	K
89.0ms	m
73.0ms	l
54.0ms	M
52.0ms	n

Results

Accuracy	Segments	Branch
91.6%	1	`K`
91.6%	1	`m`
91.6%	1	`n`
91.6%	1	`M`
91.6%	1	`l`
91.6%	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 2593 to 1321 computations (49.1% saved)

regimes273.0ms (1%)

Counts

70 → 1

Calls

Call 1

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

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

Calls

6 calls:

79.0ms	l
44.0ms	m
40.0ms	K
36.0ms	n
35.0ms	M

Results

Accuracy	Segments	Branch
91.6%	1	`K`
91.6%	1	`m`
91.6%	1	`n`
91.6%	1	`M`
91.6%	1	`l`
91.6%	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 1335 to 670 computations (49.8% saved)

regimes708.0ms (2.6%)

Counts

47 → 4

Calls

Call 1

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

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

Calls

5 calls:

221.0ms	l
169.0ms	K
146.0ms	M
85.0ms	n
66.0ms	m

Results

Accuracy	Segments	Branch
63.8%	6	`K`
80.9%	3	`m`
81.7%	4	`n`
78.2%	7	`M`
68.5%	7	`l`

Compiler

Compiled 765 to 393 computations (48.6% saved)

bsearch105.0ms (0.4%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
32.0ms	0.2915747574090502	4782781.5321695255
37.0ms	9.053900205679603e-98	3.9355757114615006e-87
35.0ms	2.782113975536098e-186	1.2894904932747885e-178

Results

76.0ms	385×	body	256	valid
6.0ms	13×	body	1024	infinite
5.0ms	25×	body	256	infinite
4.0ms	12×	body	512	infinite
3.0ms	6×	body	1024	valid
2.0ms	3×	body	2048	infinite
1.0ms	4×	body	512	valid

Compiler

Compiled 1236 to 888 computations (28.2% saved)

regimes610.0ms (2.2%)

Counts

33 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

209.0ms	K
120.0ms	n
103.0ms	l
90.0ms	m
76.0ms	M

Results

Accuracy	Segments	Branch
63.3%	7	`K`
72.7%	3	`m`
64.0%	6	`n`
72.2%	4	`M`
66.5%	5	`l`

Compiler

Compiled 474 to 262 computations (44.7% saved)

bsearch44.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
40.0ms	4.0867408796187175e-140	5.35497997148378e-122
4.0ms	-1.9597700056833336e+43	-6.476919526668072e+42

Results

34.0ms	151×	body	256	valid
2.0ms	13×	body	256	infinite
1.0ms	3×	body	1024	infinite
1.0ms	3×	body	1024	valid
1.0ms	3×	body	512	infinite
1.0ms	1×	body	2048	infinite
1.0ms	2×	body	512	valid

Compiler

Compiled 394 to 290 computations (26.4% saved)

regimes343.0ms (1.3%)

Counts

32 → 2

Calls

Call 1

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

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

Calls

5 calls:

146.0ms	M
109.0ms	n
31.0ms	m
29.0ms	l
17.0ms	K

Results

Accuracy	Segments	Branch
49.1%	1	`K`
50.8%	2	`m`
51.3%	3	`n`
59.7%	4	`M`
60.2%	2	`l`

Compiler

Compiled 458 to 257 computations (43.9% saved)

bsearch31.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
31.0ms	0.037688961595825896	344.9649487103631

Results

27.0ms	124×	body	256	valid
1.0ms	2×	body	1024	valid
1.0ms	2×	body	512	valid

Compiler

Compiled 298 to 222 computations (25.5% saved)

regimes108.0ms (0.4%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

5 calls:

59.0ms	n
15.0ms	m
10.0ms	l
9.0ms	K
9.0ms	M

Results

Accuracy	Segments	Branch
33.1%	1	`K`
33.1%	1	`m`
33.1%	1	`n`
33.1%	1	`M`
33.1%	1	`l`

Compiler

Compiled 216 to 130 computations (39.8% saved)

regimes28.0ms (0.1%)

Accuracy

Total -0.5b remaining (-0.8%)

Threshold costs -0.5b (-0.8%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(cos.f64 M)

Calls

5 calls:

7.0ms	n
5.0ms	l
4.0ms	M
4.0ms	K
4.0ms	m

Results

Accuracy	Segments	Branch
6.5%	1	`K`
6.5%	1	`m`
6.5%	1	`n`
6.5%	1	`M`
6.5%	1	`l`

Compiler

Compiled 71 to 51 computations (28.2% saved)

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

32×	`+-commutative`
20×	`sub-neg`
16×	`*-commutative`
8×	`neg-mul-1`
8×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	561
1	92	561
2	107	561
3	116	561
4	121	561
5	122	561

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (cos.f64 M) (exp.f64 (+.f64 (log1p.f64 (expm1.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2))) (-.f64 l (fabs.f64 (-.f64 n m))))))
(/.f64 (cos.f64 M) (exp.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m))))))
(if (<=.f64 n 4087946793389487/72999049881955123498258745691204661198291656115976958889267080286388402675338838184094604981077942396458276953177510516971019275542007007972042581115555427012031914789764239201325987075945660416) (/.f64 (cos.f64 M) (exp.f64 (+.f64 (.f64 (.f64 m m) 1/4) (-.f64 l (fabs.f64 (-.f64 n m)))))) (if (<=.f64 n 2862286272755609/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (/.f64 (cos.f64 M) (exp.f64 (+.f64 (.f64 M M) (-.f64 l (fabs.f64 (-.f64 n m)))))) (if (<=.f64 n 140) (/.f64 (cos.f64 M) (exp.f64 (+.f64 (.f64 (.f64 m m) 1/4) (-.f64 l (fabs.f64 (-.f64 n m)))))) (/.f64 (cos.f64 M) (exp.f64 (+.f64 (.f64 (*.f64 n n) 1/4) (-.f64 l (fabs.f64 (-.f64 n m)))))))))
(if (<=.f64 m -10000000000000000139372116959414099130712064) (/.f64 (cos.f64 M) (exp.f64 (+.f64 (.f64 (.f64 m m) 1/4) (-.f64 l (fabs.f64 (-.f64 n m)))))) (if (<=.f64 m 4495317912455029/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632) (/.f64 (cos.f64 M) (exp.f64 (+.f64 (*.f64 M M) (-.f64 l (fabs.f64 (-.f64 n m)))))) (/.f64 (cos.f64 M) (exp.f64 l))))
(if (<=.f64 l 340) (/.f64 (cos.f64 (-.f64 (.f64 K (/.f64 (+.f64 m n) 2)) M)) (exp.f64 (.f64 M M))) (/.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 (log1p.f64 (expm1.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2))) (-.f64 l (fabs.f64 (-.f64 n m))))))
(/.f64 (cos.f64 M) (exp.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m))))))
(/.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 l (fabs.f64 (-.f64 n m))) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(if (<=.f64 n 4087946793389487/72999049881955123498258745691204661198291656115976958889267080286388402675338838184094604981077942396458276953177510516971019275542007007972042581115555427012031914789764239201325987075945660416) (/.f64 (cos.f64 M) (exp.f64 (+.f64 (.f64 (.f64 m m) 1/4) (-.f64 l (fabs.f64 (-.f64 n m)))))) (if (<=.f64 n 2862286272755609/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (/.f64 (cos.f64 M) (exp.f64 (+.f64 (.f64 M M) (-.f64 l (fabs.f64 (-.f64 n m)))))) (if (<=.f64 n 140) (/.f64 (cos.f64 M) (exp.f64 (+.f64 (.f64 (.f64 m m) 1/4) (-.f64 l (fabs.f64 (-.f64 n m)))))) (/.f64 (cos.f64 M) (exp.f64 (+.f64 (.f64 (*.f64 n n) 1/4) (-.f64 l (fabs.f64 (-.f64 n m)))))))))
(if (<=.f64 n 4087946793389487/72999049881955123498258745691204661198291656115976958889267080286388402675338838184094604981077942396458276953177510516971019275542007007972042581115555427012031914789764239201325987075945660416) (/.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 l (fabs.f64 (-.f64 n m))) (.f64 (.f64 m m) 1/4)))) (if (<=.f64 n 2862286272755609/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936) (/.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 l (fabs.f64 (-.f64 n m))) (.f64 M M)))) (if (<=.f64 n 140) (/.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 l (fabs.f64 (-.f64 n m))) (.f64 (.f64 m m) 1/4)))) (/.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 l (fabs.f64 (-.f64 n m))) (.f64 1/4 (*.f64 n n))))))))
(if (<=.f64 m -10000000000000000139372116959414099130712064) (/.f64 (cos.f64 M) (exp.f64 (+.f64 (.f64 (.f64 m m) 1/4) (-.f64 l (fabs.f64 (-.f64 n m)))))) (if (<=.f64 m 4495317912455029/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632) (/.f64 (cos.f64 M) (exp.f64 (+.f64 (*.f64 M M) (-.f64 l (fabs.f64 (-.f64 n m)))))) (/.f64 (cos.f64 M) (exp.f64 l))))
(if (<=.f64 m -10000000000000000139372116959414099130712064) (/.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 l (fabs.f64 (-.f64 n m))) (.f64 (.f64 m m) 1/4)))) (if (<=.f64 m 4495317912455029/99895953610111751404211111353381321783955140565279076827493022708011895642232499843849795298031743077114461795885011932654335221737225129801285632) (/.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 l (fabs.f64 (-.f64 n m))) (*.f64 M M)))) (/.f64 (cos.f64 M) (exp.f64 l))))
(if (<=.f64 l 340) (/.f64 (cos.f64 (-.f64 (.f64 K (/.f64 (+.f64 m n) 2)) M)) (exp.f64 (.f64 M M))) (/.f64 (cos.f64 M) (exp.f64 l)))
(if (<=.f64 l 340) (/.f64 (cos.f64 (-.f64 (.f64 (/.f64 (+.f64 m n) 2) K) M)) (exp.f64 (.f64 M M))) (/.f64 (cos.f64 M) (exp.f64 l)))
(/.f64 (cos.f64 M) (exp.f64 l))
(cos.f64 M)

Compiler

Compiled 225 to 138 computations (38.7% saved)

soundness1.7s (6.2%)

Rules

1660×	`log-prod`
1594×	`fma-def`
1594×	`fma-def`
1422×	`fma-def`
1330×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	89
1	60	89
2	140	85
3	446	85
4	1833	85
5	7760	85
0	618	15150
1	1531	14774
2	4927	14688
0	15	98
1	347	98
2	4889	98
0	618	15150
1	1531	14774
2	4927	14688
0	251	5486
1	702	5368
2	2177	5168
0	536	12434
1	1310	12174
2	4103	12108
0	251	5486
1	702	5368
2	2177	5168
0	229	4064
1	592	4018
2	1704	3522
0	618	15150
1	1531	14774
2	4927	14688
0	618	15150
1	1531	14774
2	4927	14688

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 800 to 440 computations (45% saved)

end96.0ms (0.3%)

Remove: (sort m n)
Compiler: Compiled 512 to 248 computations (51.6% saved)