Details

analyze1.1s (6.4%)

Algorithm

1×

Search

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

Compiler

Compiled 35 to 24 computations (31.4% saved)

sample2.0s (12%)

Results

1.7s	8132×	body	256	valid
76.0ms	348×	body	256	infinite
48.0ms	89×	body	1024	infinite
34.0ms	59×	body	1024	valid
29.0ms	82×	body	512	infinite
23.0ms	62×	body	512	valid
15.0ms	19×	body	2048	infinite
3.0ms	3×	body	2048	valid

Bogosity

preprocess48.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

1202×	`associate-r`
1136×	`*-commutative`
1064×	`associate-l`
978×	`associate-+l+`
804×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	156	979
1	434	979
2	1096	935
3	3645	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 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 (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 K (/.f64 (+.f64 m n) 2)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
(.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 m (/.f64 (+.f64 K n) 2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n K)) 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 n (/.f64 (+.f64 K m) 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 M (/.f64 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 (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 l 2) (+.f64 m n)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 K (fabs.f64 (-.f64 m n))))))
(*.f64 (cos.f64 (-.f64 (/.f64 (+.f64 m n) (/.f64 2 l)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) K) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(*.f64 (cos.f64 (fma.f64 (/.f64 l 2) (+.f64 m n) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 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 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 (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 K (/.f64 (+.f64 m n) 2)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
(.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 K (/.f64 (+.f64 n M) 2)) m)) (exp.f64 (-.f64 (fabs.f64 (-.f64 M n)) (+.f64 l (pow.f64 (-.f64 (/.f64 (+.f64 n M) 2) m) 2)))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 l n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 l n) 2) M) 2)) (-.f64 m (fabs.f64 (-.f64 l n))))))
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 n l))) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n l) 2) M) 2)) (-.f64 m (fabs.f64 (-.f64 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 K (/.f64 (+.f64 n l) 2)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n l)) (+.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 K (/.f64 2 (+.f64 m M))) n)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m M) 2) n) 2)) (-.f64 l (fabs.f64 (-.f64 m M))))))
(.f64 (cos.f64 (-.f64 (.f64 (/.f64 K 2) (+.f64 m M)) n)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m M) 2) n) 2)) (-.f64 l (fabs.f64 (-.f64 m M))))))
(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m M) (/.f64 K 2)) n)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m M)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m M) 2) n) 2))))
(.f64 (cos.f64 (-.f64 (.f64 K (/.f64 (+.f64 m M) 2)) n)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m M)) (+.f64 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 K (/.f64 (+.f64 m l) 2)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 l m)) (+.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 K (/.f64 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 (-.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 (fma.f64 (/.f64 K 2) (+.f64 m n) (neg.f64 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)

simplify42.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

964×	`associate-r`
936×	`associate-+l+`
896×	`associate-+r+`
708×	`associate-l`
592×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	89
1	60	89
2	145	85
3	443	85
4	1715	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 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
(.f64 (cos.f64 (-.f64 (.f64 K (/.f64 (+.f64 m n) 2)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))

eval2.0ms (0%)

Compiler: Compiled 176 to 97 computations (44.9% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	4	2	6
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	5	2	7

Error

13.4b

Counts

7 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	13.4b	(*.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)))))
▶	13.4b	(.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))))

Status

Error

Program

▶

13.4b

(*.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)))))

▶

13.4b

(*.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))))

Compiler

Compiled 67 to 45 computations (32.8% saved)

localize43.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M)
✓	0.0b	(*.f64 (+.f64 m n) (/.f64 K 2))
✓	0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
✓	32.1b	(cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M))

Compiler

Compiled 138 to 60 computations (56.5% saved)

series33.0ms (0.2%)

Counts

4 → 168

Calls

42 calls:

Time	Variable		Point	Expression
23.0ms	m	@	-inf	(*.f64 (+.f64 m n) (/.f64 K 2))
1.0ms	m	@	0	(cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M))
1.0ms	K	@	0	(cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M))
1.0ms	n	@	0	(cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M))
0.0ms	m	@	0	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)

rewrite174.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

852×	`associate-/l*`
832×	`associate-/r*`
464×	`associate-/r/`
396×	`add-sqr-sqrt`
386×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	98
1	371	98
2	5192	98

Stop Event

1×	node limit

Counts

4 → 284

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (cos.f64 M)) (.f64 (sin.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (sin.f64 M)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (sin.f64 M)) (.f64 (cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (cos.f64 M)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (cos.f64 M)) 1) (.f64 (.f64 (sin.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (sin.f64 M)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (sin.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (sin.f64 M)) 1) (.f64 (.f64 (cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (cos.f64 M)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (cos.f64 (neg.f64 M))) (.f64 (sin.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (sin.f64 (neg.f64 M))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))) (sqrt.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))) 2) (cbrt.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (cos.f64 M)) (.f64 (cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (cos.f64 M))) (.f64 (.f64 (sin.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (sin.f64 M)) (.f64 (sin.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (sin.f64 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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (cos.f64 M)) 3) (pow.f64 (.f64 (sin.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (sin.f64 M)) 3)) (+.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (cos.f64 M)) (.f64 (cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (cos.f64 M))) (-.f64 (.f64 (.f64 (sin.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (sin.f64 M)) (.f64 (sin.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (sin.f64 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))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (cos.f64 M) (.f64 (sin.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (sin.f64 M)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) (.f64 (+.f64 m n) 1/2)) (.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) (neg.f64 M)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) (neg.f64 M)) (.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) (.f64 (+.f64 m n) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (+.f64 m n) 1/2) (-.f64 (.f64 (+.f64 m n) 1/2) M)) (.f64 (neg.f64 M) (-.f64 (.f64 (+.f64 m n) 1/2) M)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (neg.f64 M) (-.f64 (.f64 (+.f64 m n) 1/2) M)) (.f64 (.f64 (+.f64 m n) 1/2) (-.f64 (.f64 (+.f64 m n) 1/2) M)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) (-.f64 (.f64 (+.f64 m n) 1/2) M))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .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)))))) (#(struct:change #<rule egg-rr> (2) ((x .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)))))) (#(struct:change #<rule egg-rr> (2) ((x .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)))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))) (#(struct:change #<rule egg-rr> (2) ((x .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)))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify282.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1082×	`associate-r`
1066×	`associate-/l*`
862×	`associate-l`
794×	`*-commutative`
522×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	842	23230
1	2349	23172

Stop Event

1×	node limit

Counts

452 → 543

Calls

Call 1

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

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

localize70.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
✓	0.0b	(/.f64 2 (+.f64 m n))
✓	0.2b	(/.f64 K (/.f64 2 (+.f64 m n)))
✓	32.0b	(cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M))

Compiler

Compiled 159 to 78 computations (50.9% saved)

series4.0ms (0%)

Counts

3 → 108

Calls

27 calls:

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

rewrite97.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1664×	`associate-/r*`
1090×	`associate-/l*`
880×	`associate-/r/`
324×	`add-sqr-sqrt`
316×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	61
1	298	61
2	4260	61

Stop Event

1×	node limit

Counts

3 → 146

Calls

Call 1

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

Outputs

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

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

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

simplify167.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1014×	`associate-r`
836×	`associate-l`
786×	`*-commutative`
692×	`+-commutative`
612×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	504	8510
1	1566	8444
2	6520	8444

Stop Event

1×	node limit

Counts

254 → 268

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

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

eval739.0ms (4.5%)

Compiler: Compiled 42062 to 20810 computations (50.5% saved)

prune352.0ms (2.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	936	9	945
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	938	9	947

Error

0.8b

Counts

947 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	13.4b	(.f64 (log.f64 (exp.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)) M)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	13.4b	(.f64 (fabs.f64 (cos.f64 (-.f64 (.f64 K (*.f64 1/2 (+.f64 n m))) M))) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) l) (fabs.f64 (-.f64 m n)))))
	13.4b	(.f64 (cos.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)) M)) 3)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
▶	35.4b	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (/.f64 2 K)) (-.f64 m n)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	31.6b	(.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 M M)) l) (fabs.f64 (-.f64 m n)))))
	33.0b	(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 (.f64 n n) 1/4))))
▶	33.5b	(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 (.f64 m m) 1/4))))
▶	31.6b	(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (*.f64 M M))))
▶	0.9b	(*.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))

Compiler

Compiled 570 to 386 computations (32.3% saved)

localize72.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 102 to 42 computations (58.8% saved)

series3.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite102.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1344×	`associate-/r*`
584×	`associate-+l+`
436×	`+-commutative`
410×	`add-sqr-sqrt`
400×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	47
1	380	43
2	5607	43

Stop Event

1×	node limit

Counts

1 → 137

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 m (+.f64 (neg.f64 n) (+.f64 (neg.f64 l) (neg.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 m (+.f64 (*.f64 (neg.f64 n) 1) (+.f64 (neg.f64 l) (neg.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 m (+.f64 (neg.f64 n) (-.f64 (neg.f64 l) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 m (+.f64 (*.f64 (neg.f64 n) 1) (-.f64 (neg.f64 l) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 m (+.f64 (neg.f64 n) (neg.f64 (+.f64 l (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 m (+.f64 (*.f64 (neg.f64 n) 1) (neg.f64 (+.f64 l (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 m (-.f64 (neg.f64 n) (+.f64 l (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 m (-.f64 (*.f64 (neg.f64 n) 1) (+.f64 l (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 m (-.f64 (neg.f64 n) (-.f64 l (neg.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 m (-.f64 (*.f64 (neg.f64 n) 1) (-.f64 l (neg.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 m n) (+.f64 (neg.f64 l) (neg.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 m n) (-.f64 (neg.f64 l) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 m n) (neg.f64 (+.f64 l (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 m n) (+.f64 (fma.f64 (neg.f64 n) 1 n) (+.f64 (neg.f64 l) (neg.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)))))))) 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m n) 1/2) M) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 m n) (+.f64 (-.f64 (neg.f64 l) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)) (fma.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)) 1 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 m n) (+.f64 (neg.f64 (+.f64 l (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2))) (fma.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)) 1 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 m n) (+.f64 (+.f64 (neg.f64 l) (neg.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2))) (fma.f64 (neg.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)) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 m n) (+.f64 (-.f64 (neg.f64 l) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)) (fma.f64 (neg.f64 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(#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 m n) (-.f64 (fma.f64 (neg.f64 n) 1 n) (-.f64 l (neg.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 m n) (-.f64 (fma.f64 (neg.f64 (sqrt.f64 n)) (sqrt.f64 n) n) (-.f64 l (neg.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 m n) (-.f64 (fma.f64 (neg.f64 (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2) n) (-.f64 l (neg.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 m n) (-.f64 (*.f64 (neg.f64 l) 1) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 m (+.f64 n l)) (neg.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 m (+.f64 n l)) (*.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 m 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simplify188.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1122×	`associate--l-`
1020×	`associate--r-`
862×	`associate-/l*`
706×	`associate-+r+`
680×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	418	13795
1	1339	12307
2	5773	12307

Stop Event

1×	node limit

Counts

185 → 254

Calls

Call 1

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

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

localize69.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M)
	0.0b	(*.f64 (+.f64 m n) (/.f64 K 2))
✓	0.0b	(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (*.f64 M M)))
	32.1b	(cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M))

Compiler

Compiled 102 to 33 computations (67.6% saved)

series3.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite70.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1822×	`associate-*r/`
1618×	`associate-*l/`
516×	`associate-+l+`
336×	`+-commutative`
322×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	294	29
2	4290	29

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify99.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1582×	`associate-l`
1050×	`associate-+l-`
860×	`associate-+r+`
846×	`associate-+r-`
736×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	153	3339
1	386	3011
2	1295	2835
3	5778	2835

Stop Event

1×	node limit

Counts

83 → 89

Calls

Call 1

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

Outputs
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 M M))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M M l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 M M))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M M l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 M M))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M M l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 M M))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M M l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 M M))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M M l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 M M))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M M l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 M M))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M M l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 M M))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M M l)))
(exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 n (*.f64 -1 m)))) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 M M))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M M l)))
(exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 n (*.f64 -1 m)))) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 M M))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M M l)))
(exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 n (*.f64 -1 m)))) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 M M))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M M l)))
(exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 n (*.f64 -1 m)))) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 M M))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M M l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 M M))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M M l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 M M))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M M l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 M M))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M M l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 M M))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M M l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 M M))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M M l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 M M))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M M l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 M M))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M M l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 M M))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M M l)))
(exp.f64 (-.f64 (fabs.f64 (+.f64 (*.f64 -1 n) m)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 M M))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M M l)))
(exp.f64 (-.f64 (fabs.f64 (+.f64 (*.f64 -1 n) m)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 M M))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M M l)))
(exp.f64 (-.f64 (fabs.f64 (+.f64 (*.f64 -1 n) m)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 M M))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M M l)))
(exp.f64 (-.f64 (fabs.f64 (+.f64 (*.f64 -1 n) m)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 M M))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M M l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 M 2)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (*.f64 M M)))
(+.f64 (.f64 -1 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 M 2))) l)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 M 2))))
(fma.f64 -1 (.f64 l (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 M M)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (*.f64 M M))))
(-.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 M M))) (.f64 l (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (*.f64 M M)))))
(.f64 (+.f64 (neg.f64 l) 1) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 M M))))
(+.f64 (.f64 -1 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 M 2))) l)) (+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 M 2))) (.f64 1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 M 2))) (pow.f64 l 2)))))
(+.f64 (fma.f64 -1 (.f64 l (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 M M)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 M M)))) (.f64 1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 M M))) (*.f64 l l))))
(-.f64 (fma.f64 1/2 (.f64 l (.f64 l (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 M M))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 M M)))) (.f64 l (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 M M)))))
(+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 M M))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 M M))) (+.f64 (neg.f64 l) (.f64 l (*.f64 l 1/2)))))
(+.f64 (.f64 -1 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 M 2))) l)) (+.f64 (.f64 -1/6 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 M 2))) (pow.f64 l 3))) (+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 M 2))) (.f64 1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 M 2))) (pow.f64 l 2))))))
(fma.f64 -1 (.f64 l (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 M M)))) (fma.f64 -1/6 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 M M))) (pow.f64 l 3)) (+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 M M))) (.f64 1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 M M))) (*.f64 l l))))))
(-.f64 (fma.f64 -1/6 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 M M))) (pow.f64 l 3)) (fma.f64 1/2 (.f64 l (.f64 l (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 M M))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 M M))))) (.f64 l (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 M M)))))
(+.f64 (.f64 (+.f64 (neg.f64 l) 1) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 M M)))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 M M))) (+.f64 (.f64 l (.f64 l 1/2)) (*.f64 -1/6 (pow.f64 l 3)))))
(+.f64 (.f64 (+.f64 1 (.f64 l (.f64 l 1/2))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 M M)))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 M M))) (+.f64 (neg.f64 l) (*.f64 -1/6 (pow.f64 l 3)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 M M))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M M l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 M M))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M M l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 M M))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M M l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 M M))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M M l)))
(exp.f64 (-.f64 (+.f64 (*.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 M 2)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 M M))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M M l)))
(exp.f64 (-.f64 (+.f64 (*.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 M 2)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 M M))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M M l)))
(exp.f64 (-.f64 (+.f64 (*.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 M 2)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 M M))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 M M l)))
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(exp.f64 (-.f64 m (+.f64 n (+.f64 l (*.f64 M M)))))
(exp.f64 (-.f64 (-.f64 m n) (fma.f64 M M l)))
(exp.f64 (-.f64 m (+.f64 l (fma.f64 M M n))))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 m (+.f64 n (+.f64 l (*.f64 M M)))))))
(exp.f64 (-.f64 m (+.f64 n (+.f64 l (*.f64 M M)))))
(exp.f64 (-.f64 (-.f64 m n) (fma.f64 M M l)))
(exp.f64 (-.f64 m (+.f64 l (fma.f64 M M n))))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 m (+.f64 n (+.f64 l (*.f64 M M)))))))
(exp.f64 (-.f64 m (+.f64 n (+.f64 l (*.f64 M M)))))
(exp.f64 (-.f64 (-.f64 m n) (fma.f64 M M l)))
(exp.f64 (-.f64 m (+.f64 l (fma.f64 M M n))))

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M)
✓	0.0b	(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 (.f64 m m) 1/4))))
	0.0b	(*.f64 (+.f64 m n) (/.f64 K 2))
	32.1b	(cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M))

Compiler

Compiled 114 to 45 computations (60.5% saved)

series51.0ms (0.3%)

Counts

1 → 60

Calls

15 calls:

Time	Variable		Point	Expression
40.0ms	M	@	0	(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 (.f64 m m) 1/4))))
2.0ms	m	@	0	(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 (.f64 m m) 1/4))))
1.0ms	n	@	0	(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 (.f64 m m) 1/4))))
1.0ms	l	@	inf	(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 (.f64 m m) 1/4))))
1.0ms	n	@	inf	(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 (.f64 m m) 1/4))))

rewrite91.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

558×	`add-sqr-sqrt`
548×	`pow1`
548×	`*-un-lft-identity`
524×	`add-exp-log`
524×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	73
1	529	69
2	7587	69

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify137.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1424×	`associate-*r/`
1280×	`associate-*l/`
560×	`associate-r`
548×	`distribute-lft-in`
544×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	248	8383
1	740	7995
2	2538	7203

Stop Event

1×	node limit

Counts

81 → 116

Calls

Call 1

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

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

localize54.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
✓	7.5b	(/.f64 (*.f64 (+.f64 m n) (-.f64 m n)) (/.f64 2 K))
✓	17.6b	(/.f64 (/.f64 (*.f64 (+.f64 m n) (-.f64 m n)) (/.f64 2 K)) (-.f64 m n))
✓	32.2b	(cos.f64 (-.f64 (/.f64 (/.f64 (*.f64 (+.f64 m n) (-.f64 m n)) (/.f64 2 K)) (-.f64 m n)) M))

Compiler

Compiled 188 to 68 computations (63.8% saved)

series6.0ms (0%)

Counts

3 → 120

Calls

30 calls:

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

rewrite137.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1778×	`distribute-lft-in`
402×	`add-sqr-sqrt`
394×	`pow1`
394×	`*-un-lft-identity`
374×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	127
1	373	79
2	5779	79

Stop Event

1×	node limit

Counts

3 → 149

Calls

Call 1

Inputs

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

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

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

Outputs

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#<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 m n) (/.f64 2 K))))))))

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

simplify111.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1464×	`associate-l`
1376×	`associate-r`
852×	`*-commutative`
776×	`fma-def`
722×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	526	13093
1	1652	9731

Stop Event

1×	node limit

Counts

269 → 264

Calls

Call 1

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

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

localize63.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
✓	0.1b	(exp.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))
✓	0.6b	(log.f64 (exp.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))))
✓	32.1b	(cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))

Compiler

Compiled 164 to 76 computations (53.7% saved)

series7.0ms (0%)

Counts

3 → 144

Calls

36 calls:

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

rewrite97.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1226×	`associate-*r/`
1082×	`associate-*l/`
1034×	`distribute-lft-in`
328×	`add-sqr-sqrt`
322×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	91
1	317	91
2	4068	91

Stop Event

1×	node limit

Counts

3 → 111

Calls

Call 1

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

Outputs

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

simplify162.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1456×	`unswap-sqr`
984×	`associate-r`
846×	`associate-+r+`
812×	`associate-+l+`
644×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	371	15101
1	1088	14869
2	4234	14199

Stop Event

1×	node limit

Counts

255 → 204

Calls

Call 1

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

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

eval1.3s (7.9%)

Compiler: Compiled 91285 to 40726 computations (55.4% saved)

prune1.0s (6.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	2133	14	2147
Fresh	4	0	4
Picked	1	0	1
Done	4	0	4
Total	2142	14	2156

Error

0.8b

Counts

2156 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	21.0b	(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)) (exp.f64 (-.f64 (-.f64 m n) (+.f64 l (.f64 (*.f64 m m) 1/4))))))) 1)
	31.6b	(.f64 (cos.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)) 3)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
	35.3b	(.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 (.f64 m m) (.f64 n n)) (*.f64 K 1/2))) 3) (-.f64 m n)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
▶	41.4b	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (/.f64 2 K)) (-.f64 m n)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (*.f64 M M))))
	45.9b	(.f64 (cos.f64 (-.f64 (/.f64 (exp.f64 (log.f64 (.f64 (-.f64 (.f64 m m) (.f64 n n)) (*.f64 K 1/2)))) (-.f64 m n)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	31.6b	(.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
▶	35.4b	(.f64 (cos.f64 (-.f64 (.f64 (/.f64 1 (-.f64 m n)) (.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K 1/2))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
▶	14.4b	(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (-.f64 m (+.f64 n (+.f64 l (*.f64 M M))))))
▶	28.2b	(.f64 (cos.f64 M) (exp.f64 (.f64 m (*.f64 m -1/4))))
	25.8b	(.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M))))
	29.0b	(.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (*.f64 n n))))
▶	40.7b	(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
	20.9b	(fabs.f64 (.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 1/2 K)) M)) (exp.f64 (-.f64 m (+.f64 n (fma.f64 m (.f64 m 1/4) l))))))
	39.7b	(exp.f64 (+.f64 (-.f64 (-.f64 m n) (+.f64 l (.f64 (.f64 m m) 1/4))) (log.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))))

Compiler

Compiled 778 to 528 computations (32.1% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M)
	0.0b	(*.f64 (+.f64 m n) (/.f64 K 2))
✓	0.0b	(exp.f64 (-.f64 m (+.f64 n (+.f64 l (*.f64 M M)))))
	32.1b	(cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M))

Compiler

Compiled 98 to 32 computations (67.3% saved)

series26.0ms (0.2%)

Counts

1 → 48

Calls

12 calls:

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

rewrite69.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1564×	`associate-*l/`
502×	`associate-+l+`
468×	`associate-/r*`
360×	`+-commutative`
344×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	268	25
2	3924	25

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

Outputs

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

simplify87.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1544×	`associate-*r/`
1026×	`associate-*l/`
1018×	`fma-def`
868×	`associate-/l*`
668×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	202	3296
1	516	3048
2	1894	2856

Stop Event

1×	node limit

Counts

92 → 119

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 9 computations (55% saved)

series8.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	l	@	0	(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
1.0ms	l	@	inf	(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
0.0ms	M	@	0	(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
0.0ms	M	@	inf	(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
0.0ms	M	@	-inf	(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))

rewrite54.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1484×	`add-sqr-sqrt`
1472×	`*-un-lft-identity`
1358×	`add-cube-cbrt`
1338×	`add-cbrt-cube`
1320×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	176	15
2	2116	15

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

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

Outputs

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

simplify65.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1010×	`*-commutative`
928×	`distribute-lft-out`
788×	`associate-r`
636×	`associate-l`
592×	`associate--r+`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	77	1009
1	195	899
2	611	729
3	2531	709
4	5386	697

Stop Event

1×	node limit

Counts

37 → 55

Calls

Call 1

Inputs
(exp.f64 (neg.f64 l))
(+.f64 (exp.f64 (neg.f64 l)) (.f64 -1/2 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 2))))
(+.f64 (exp.f64 (neg.f64 l)) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 2))) (.f64 1/24 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 4)))))
(+.f64 (.f64 -1/720 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 6))) (+.f64 (exp.f64 (neg.f64 l)) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 2))) (.f64 1/24 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 4))))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(cos.f64 M)
(+.f64 (.f64 -1 (.f64 l (cos.f64 M))) (cos.f64 M))
(+.f64 (.f64 1/2 (.f64 (pow.f64 l 2) (cos.f64 M))) (+.f64 (.f64 -1 (.f64 l (cos.f64 M))) (cos.f64 M)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 l 2) (cos.f64 M))) (+.f64 (.f64 -1 (.f64 l (cos.f64 M))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 l 3) (cos.f64 M))) (cos.f64 M))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(.f64 (cos.f64 M) (exp.f64 (.f64 -1 l)))
(.f64 (cos.f64 M) (exp.f64 (.f64 -1 l)))
(.f64 (cos.f64 M) (exp.f64 (.f64 -1 l)))
(.f64 (cos.f64 M) (exp.f64 (.f64 -1 l)))
(-.f64 (+.f64 1 (*.f64 (cos.f64 M) (exp.f64 l))) 1)
(/.f64 (cos.f64 M) (exp.f64 l))
(pow.f64 (*.f64 (cos.f64 M) (exp.f64 l)) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 M) (exp.f64 l))) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 M) (exp.f64 l))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 M) (exp.f64 l)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 M) (exp.f64 l)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 M)) (exp.f64 l)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 M) (exp.f64 l)) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 M) (exp.f64 l))))
(exp.f64 (+.f64 l (log.f64 (cos.f64 M))))
(exp.f64 (*.f64 (+.f64 l (log.f64 (cos.f64 M))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 M) (exp.f64 l))))

Outputs
(exp.f64 (neg.f64 l))
(+.f64 (exp.f64 (neg.f64 l)) (.f64 -1/2 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 2))))
(+.f64 (exp.f64 (neg.f64 l)) (.f64 -1/2 (.f64 (exp.f64 (neg.f64 l)) (*.f64 M M))))
(fma.f64 (/.f64 -1/2 (exp.f64 l)) (*.f64 M M) (exp.f64 (neg.f64 l)))
(.f64 (+.f64 (.f64 -1/2 (*.f64 M M)) 1) (exp.f64 (neg.f64 l)))
(.f64 (exp.f64 (neg.f64 l)) (+.f64 1 (.f64 -1/2 (*.f64 M M))))
(/.f64 (+.f64 1 (.f64 -1/2 (.f64 M M))) (exp.f64 l))
(+.f64 (exp.f64 (neg.f64 l)) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 2))) (.f64 1/24 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 4)))))
(+.f64 (exp.f64 (neg.f64 l)) (fma.f64 -1/2 (.f64 (exp.f64 (neg.f64 l)) (.f64 M M)) (.f64 1/24 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 4)))))
(+.f64 (exp.f64 (neg.f64 l)) (fma.f64 (/.f64 1/24 (exp.f64 l)) (pow.f64 M 4) (.f64 (.f64 M M) (/.f64 -1/2 (exp.f64 l)))))
(fma.f64 -1/2 (/.f64 (.f64 M M) (exp.f64 l)) (.f64 (+.f64 (*.f64 1/24 (pow.f64 M 4)) 1) (exp.f64 (neg.f64 l))))
(.f64 (exp.f64 (neg.f64 l)) (+.f64 (.f64 -1/2 (.f64 M M)) (+.f64 1 (.f64 1/24 (pow.f64 M 4)))))
(.f64 (exp.f64 (neg.f64 l)) (+.f64 (.f64 1/24 (pow.f64 M 4)) (+.f64 1 (.f64 -1/2 (.f64 M M)))))
(+.f64 (.f64 -1/720 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 6))) (+.f64 (exp.f64 (neg.f64 l)) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 2))) (.f64 1/24 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 4))))))
(fma.f64 -1/720 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 6)) (+.f64 (exp.f64 (neg.f64 l)) (fma.f64 -1/2 (.f64 (exp.f64 (neg.f64 l)) (.f64 M M)) (.f64 1/24 (*.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 4))))))
(+.f64 (fma.f64 (/.f64 1/24 (exp.f64 l)) (pow.f64 M 4) (.f64 (.f64 M M) (/.f64 -1/2 (exp.f64 l)))) (fma.f64 (/.f64 -1/720 (exp.f64 l)) (pow.f64 M 6) (exp.f64 (neg.f64 l))))
(fma.f64 -1/720 (/.f64 (pow.f64 M 6) (exp.f64 l)) (fma.f64 -1/2 (/.f64 (.f64 M M) (exp.f64 l)) (.f64 (+.f64 (*.f64 1/24 (pow.f64 M 4)) 1) (exp.f64 (neg.f64 l)))))
(fma.f64 -1/720 (/.f64 (pow.f64 M 6) (exp.f64 l)) (.f64 (exp.f64 (neg.f64 l)) (+.f64 (.f64 -1/2 (.f64 M M)) (+.f64 1 (.f64 1/24 (pow.f64 M 4))))))
(.f64 (exp.f64 (neg.f64 l)) (+.f64 (+.f64 (.f64 -1/2 (.f64 M M)) (.f64 1/24 (pow.f64 M 4))) (+.f64 1 (*.f64 -1/720 (pow.f64 M 6)))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 l))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 l))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 l))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 l))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 l))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 l))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 l))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 l))
(cos.f64 M)
(+.f64 (.f64 -1 (.f64 l (cos.f64 M))) (cos.f64 M))
(fma.f64 -1 (*.f64 l (cos.f64 M)) (cos.f64 M))
(-.f64 (cos.f64 M) (*.f64 l (cos.f64 M)))
(*.f64 (cos.f64 M) (fma.f64 l -1 1))
(*.f64 (cos.f64 M) (-.f64 1 l))
(+.f64 (.f64 1/2 (.f64 (pow.f64 l 2) (cos.f64 M))) (+.f64 (.f64 -1 (.f64 l (cos.f64 M))) (cos.f64 M)))
(fma.f64 1/2 (.f64 (cos.f64 M) (.f64 l l)) (fma.f64 -1 (*.f64 l (cos.f64 M)) (cos.f64 M)))
(+.f64 (cos.f64 M) (.f64 (cos.f64 M) (+.f64 (.f64 1/2 (*.f64 l l)) (neg.f64 l))))
(fma.f64 (cos.f64 M) (.f64 l (+.f64 (.f64 l 1/2) -1)) (cos.f64 M))
(.f64 (cos.f64 M) (-.f64 (.f64 l (*.f64 l 1/2)) (+.f64 l -1)))
(.f64 (cos.f64 M) (-.f64 1 (-.f64 l (.f64 l (*.f64 l 1/2)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 l 2) (cos.f64 M))) (+.f64 (.f64 -1 (.f64 l (cos.f64 M))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 l 3) (cos.f64 M))) (cos.f64 M))))
(fma.f64 1/2 (.f64 (cos.f64 M) (.f64 l l)) (fma.f64 -1 (.f64 l (cos.f64 M)) (fma.f64 -1/6 (.f64 (cos.f64 M) (pow.f64 l 3)) (cos.f64 M))))
(+.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 l 3)) 1) (cos.f64 M)) (.f64 (cos.f64 M) (+.f64 (.f64 1/2 (*.f64 l l)) (neg.f64 l))))
(fma.f64 (cos.f64 M) (.f64 l (+.f64 (.f64 l 1/2) -1)) (*.f64 (cos.f64 M) (fma.f64 -1/6 (pow.f64 l 3) 1)))
(.f64 (cos.f64 M) (+.f64 (fma.f64 -1/6 (pow.f64 l 3) 1) (-.f64 (.f64 l (*.f64 l 1/2)) l)))
(.f64 (cos.f64 M) (+.f64 (.f64 l (.f64 l (+.f64 1/2 (.f64 l -1/6)))) (-.f64 1 l)))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 l))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 l))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 l))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 l))
(.f64 (cos.f64 M) (exp.f64 (.f64 -1 l)))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 l))
(.f64 (cos.f64 M) (exp.f64 (.f64 -1 l)))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 l))
(.f64 (cos.f64 M) (exp.f64 (.f64 -1 l)))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 l))
(.f64 (cos.f64 M) (exp.f64 (.f64 -1 l)))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 l))
(-.f64 (+.f64 1 (*.f64 (cos.f64 M) (exp.f64 l))) 1)
(+.f64 1 (-.f64 (*.f64 (cos.f64 M) (exp.f64 l)) 1))
(+.f64 (*.f64 (cos.f64 M) (exp.f64 l)) 0)
(*.f64 (cos.f64 M) (exp.f64 l))
(/.f64 (cos.f64 M) (exp.f64 l))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(pow.f64 (*.f64 (cos.f64 M) (exp.f64 l)) 1)
(+.f64 1 (-.f64 (*.f64 (cos.f64 M) (exp.f64 l)) 1))
(+.f64 (*.f64 (cos.f64 M) (exp.f64 l)) 0)
(*.f64 (cos.f64 M) (exp.f64 l))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 M) (exp.f64 l))) 2)
(+.f64 1 (-.f64 (*.f64 (cos.f64 M) (exp.f64 l)) 1))
(+.f64 (*.f64 (cos.f64 M) (exp.f64 l)) 0)
(*.f64 (cos.f64 M) (exp.f64 l))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 M) (exp.f64 l))) 3)
(+.f64 1 (-.f64 (*.f64 (cos.f64 M) (exp.f64 l)) 1))
(+.f64 (*.f64 (cos.f64 M) (exp.f64 l)) 0)
(*.f64 (cos.f64 M) (exp.f64 l))
(pow.f64 (pow.f64 (*.f64 (cos.f64 M) (exp.f64 l)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 (cos.f64 M) (exp.f64 l)) 1))
(+.f64 (*.f64 (cos.f64 M) (exp.f64 l)) 0)
(*.f64 (cos.f64 M) (exp.f64 l))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 M) (exp.f64 l)) 2))
(+.f64 1 (-.f64 (*.f64 (cos.f64 M) (exp.f64 l)) 1))
(+.f64 (*.f64 (cos.f64 M) (exp.f64 l)) 0)
(*.f64 (cos.f64 M) (exp.f64 l))
(log.f64 (pow.f64 (exp.f64 (cos.f64 M)) (exp.f64 l)))
(+.f64 1 (-.f64 (*.f64 (cos.f64 M) (exp.f64 l)) 1))
(+.f64 (*.f64 (cos.f64 M) (exp.f64 l)) 0)
(*.f64 (cos.f64 M) (exp.f64 l))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 M) (exp.f64 l)) 3))
(+.f64 1 (-.f64 (*.f64 (cos.f64 M) (exp.f64 l)) 1))
(+.f64 (*.f64 (cos.f64 M) (exp.f64 l)) 0)
(*.f64 (cos.f64 M) (exp.f64 l))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 M) (exp.f64 l))))
(+.f64 1 (-.f64 (*.f64 (cos.f64 M) (exp.f64 l)) 1))
(+.f64 (*.f64 (cos.f64 M) (exp.f64 l)) 0)
(*.f64 (cos.f64 M) (exp.f64 l))
(exp.f64 (+.f64 l (log.f64 (cos.f64 M))))
(+.f64 1 (-.f64 (*.f64 (cos.f64 M) (exp.f64 l)) 1))
(+.f64 (*.f64 (cos.f64 M) (exp.f64 l)) 0)
(*.f64 (cos.f64 M) (exp.f64 l))
(exp.f64 (*.f64 (+.f64 l (log.f64 (cos.f64 M))) 1))
(+.f64 1 (-.f64 (*.f64 (cos.f64 M) (exp.f64 l)) 1))
(+.f64 (*.f64 (cos.f64 M) (exp.f64 l)) 0)
(*.f64 (cos.f64 M) (exp.f64 l))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 M) (exp.f64 l))))
(+.f64 1 (-.f64 (*.f64 (cos.f64 M) (exp.f64 l)) 1))
(+.f64 (*.f64 (cos.f64 M) (exp.f64 l)) 0)
(*.f64 (cos.f64 M) (exp.f64 l))

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 33 to 21 computations (36.4% saved)

series6.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	m	@	0	(.f64 (cos.f64 M) (exp.f64 (.f64 m (*.f64 m -1/4))))
0.0ms	m	@	inf	(.f64 (cos.f64 M) (exp.f64 (.f64 m (*.f64 m -1/4))))
0.0ms	M	@	inf	(.f64 (cos.f64 M) (exp.f64 (.f64 m (*.f64 m -1/4))))
0.0ms	M	@	0	(.f64 (cos.f64 M) (exp.f64 (.f64 m (*.f64 m -1/4))))
0.0ms	M	@	-inf	(.f64 (cos.f64 M) (exp.f64 (.f64 m (*.f64 m -1/4))))

rewrite56.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1980×	`add-sqr-sqrt`
1962×	`*-un-lft-identity`
1816×	`add-cube-cbrt`
1788×	`add-cbrt-cube`
210×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	215	27
2	2477	27

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

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

Outputs

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

simplify71.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1472×	`distribute-lft-in`
1464×	`distribute-rgt-in`
962×	`associate-r`
824×	`associate-l`
578×	`associate-*r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	1243
1	215	1235
2	627	1151
3	3048	1123
4	7213	1123

Stop Event

1×	node limit

Counts

37 → 50

Calls

Call 1

Inputs
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(+.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (.f64 -1/2 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (pow.f64 M 2))))
(+.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (+.f64 (.f64 1/24 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (pow.f64 M 4))) (.f64 -1/2 (.f64 (exp.f64 (*.f64 -1/4 (pow.f64 m 2))) (pow.f64 M 2)))))
(+.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (+.f64 (.f64 1/24 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (pow.f64 M 4))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (pow.f64 M 2))) (.f64 -1/720 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (pow.f64 M 6))))))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 M))
(cos.f64 M)
(+.f64 (.f64 -1/4 (.f64 (pow.f64 m 2) (cos.f64 M))) (cos.f64 M))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 m 2) (cos.f64 M))) (+.f64 (.f64 1/32 (.f64 (pow.f64 m 4) (cos.f64 M))) (cos.f64 M)))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 m 2) (cos.f64 M))) (+.f64 (.f64 1/32 (.f64 (pow.f64 m 4) (cos.f64 M))) (+.f64 (.f64 -1/384 (.f64 (pow.f64 m 6) (cos.f64 M))) (cos.f64 M))))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 M))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 M) (pow.f64 (pow.f64 (exp.f64 m) -1/4) m)))) 1)
(pow.f64 (*.f64 (cos.f64 M) (pow.f64 (pow.f64 (exp.f64 m) -1/4) m)) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 M) (pow.f64 (pow.f64 (exp.f64 m) -1/4) m))) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 M) (pow.f64 (pow.f64 (exp.f64 m) -1/4) m))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 M) (pow.f64 (pow.f64 (exp.f64 m) -1/4) m)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 M) (pow.f64 (pow.f64 (exp.f64 m) -1/4) m)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 M)) (pow.f64 (pow.f64 (exp.f64 m) -1/4) m)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 M) (pow.f64 (pow.f64 (exp.f64 m) -1/4) m)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 M) (pow.f64 (pow.f64 (exp.f64 m) -1/4) m)) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 M) (pow.f64 (pow.f64 (exp.f64 m) -1/4) m))))
(exp.f64 (+.f64 (.f64 m (.f64 m -1/4)) (log.f64 (cos.f64 M))))
(exp.f64 (.f64 (+.f64 (.f64 m (*.f64 m -1/4)) (log.f64 (cos.f64 M))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 M) (pow.f64 (pow.f64 (exp.f64 m) -1/4) m))))

Outputs
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(pow.f64 (exp.f64 -1/4) (*.f64 m m))
(pow.f64 (exp.f64 m) (*.f64 -1/4 m))
(pow.f64 (pow.f64 (exp.f64 m) m) -1/4)
(+.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (.f64 -1/2 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (pow.f64 M 2))))
(+.f64 (pow.f64 (exp.f64 -1/4) (.f64 m m)) (.f64 -1/2 (.f64 (pow.f64 (exp.f64 -1/4) (.f64 m m)) (*.f64 M M))))
(fma.f64 -1/2 (.f64 (pow.f64 (exp.f64 -1/4) (.f64 m m)) (.f64 M M)) (pow.f64 (exp.f64 -1/4) (.f64 m m)))
(.f64 (+.f64 (.f64 -1/2 (.f64 M M)) 1) (pow.f64 (exp.f64 m) (.f64 -1/4 m)))
(.f64 (+.f64 1 (.f64 -1/2 (*.f64 M M))) (pow.f64 (pow.f64 (exp.f64 m) m) -1/4))
(+.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (+.f64 (.f64 1/24 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (pow.f64 M 4))) (.f64 -1/2 (.f64 (exp.f64 (*.f64 -1/4 (pow.f64 m 2))) (pow.f64 M 2)))))
(+.f64 (pow.f64 (exp.f64 -1/4) (.f64 m m)) (fma.f64 1/24 (.f64 (pow.f64 (exp.f64 -1/4) (.f64 m m)) (pow.f64 M 4)) (.f64 -1/2 (.f64 (pow.f64 (exp.f64 -1/4) (.f64 m m)) (*.f64 M M)))))
(+.f64 (pow.f64 (exp.f64 -1/4) (.f64 m m)) (fma.f64 -1/2 (.f64 (pow.f64 (exp.f64 -1/4) (.f64 m m)) (.f64 M M)) (.f64 (pow.f64 (exp.f64 -1/4) (.f64 m m)) (*.f64 (pow.f64 M 4) 1/24))))
(+.f64 (pow.f64 (exp.f64 m) (.f64 -1/4 m)) (.f64 (pow.f64 (exp.f64 m) (.f64 -1/4 m)) (+.f64 (.f64 -1/2 (.f64 M M)) (.f64 1/24 (pow.f64 M 4)))))
(.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4) (+.f64 (.f64 -1/2 (.f64 M M)) (+.f64 1 (.f64 1/24 (pow.f64 M 4)))))
(+.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (+.f64 (.f64 1/24 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (pow.f64 M 4))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (pow.f64 M 2))) (.f64 -1/720 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (pow.f64 M 6))))))
(+.f64 (pow.f64 (exp.f64 -1/4) (.f64 m m)) (fma.f64 1/24 (.f64 (pow.f64 (exp.f64 -1/4) (.f64 m m)) (pow.f64 M 4)) (fma.f64 -1/2 (.f64 (pow.f64 (exp.f64 -1/4) (.f64 m m)) (.f64 M M)) (.f64 -1/720 (.f64 (pow.f64 (exp.f64 -1/4) (*.f64 m m)) (pow.f64 M 6))))))
(+.f64 (pow.f64 (exp.f64 -1/4) (.f64 m m)) (fma.f64 1/24 (.f64 (pow.f64 (exp.f64 -1/4) (.f64 m m)) (pow.f64 M 4)) (fma.f64 -1/2 (.f64 (pow.f64 (exp.f64 -1/4) (.f64 m m)) (.f64 M M)) (.f64 (pow.f64 (exp.f64 -1/4) (.f64 m m)) (*.f64 (pow.f64 M 6) -1/720)))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 M M)) 1) (pow.f64 (exp.f64 m) (.f64 -1/4 m))) (.f64 (pow.f64 (exp.f64 m) (.f64 -1/4 m)) (+.f64 (.f64 1/24 (pow.f64 M 4)) (.f64 -1/720 (pow.f64 M 6)))))
(+.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4) (.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4) (+.f64 (.f64 -1/2 (.f64 M M)) (+.f64 (.f64 1/24 (pow.f64 M 4)) (*.f64 -1/720 (pow.f64 M 6))))))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 M))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 m m)) (cos.f64 M))
(exp.f64 (fma.f64 -1/4 (*.f64 m m) (log.f64 (cos.f64 M))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 M))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 m m)) (cos.f64 M))
(exp.f64 (fma.f64 -1/4 (*.f64 m m) (log.f64 (cos.f64 M))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 M))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 m m)) (cos.f64 M))
(exp.f64 (fma.f64 -1/4 (*.f64 m m) (log.f64 (cos.f64 M))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 M))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 m m)) (cos.f64 M))
(exp.f64 (fma.f64 -1/4 (*.f64 m m) (log.f64 (cos.f64 M))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 M))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 m m)) (cos.f64 M))
(exp.f64 (fma.f64 -1/4 (*.f64 m m) (log.f64 (cos.f64 M))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 M))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 m m)) (cos.f64 M))
(exp.f64 (fma.f64 -1/4 (*.f64 m m) (log.f64 (cos.f64 M))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 M))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 m m)) (cos.f64 M))
(exp.f64 (fma.f64 -1/4 (*.f64 m m) (log.f64 (cos.f64 M))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 M))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 m m)) (cos.f64 M))
(exp.f64 (fma.f64 -1/4 (*.f64 m m) (log.f64 (cos.f64 M))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4) (cos.f64 M))
(cos.f64 M)
(+.f64 (.f64 -1/4 (.f64 (pow.f64 m 2) (cos.f64 M))) (cos.f64 M))
(fma.f64 -1/4 (.f64 (.f64 m m) (cos.f64 M)) (cos.f64 M))
(.f64 (+.f64 (.f64 -1/4 (*.f64 m m)) 1) (cos.f64 M))
(.f64 (cos.f64 M) (fma.f64 -1/4 (.f64 m m) 1))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 m 2) (cos.f64 M))) (+.f64 (.f64 1/32 (.f64 (pow.f64 m 4) (cos.f64 M))) (cos.f64 M)))
(fma.f64 -1/4 (.f64 (.f64 m m) (cos.f64 M)) (fma.f64 1/32 (*.f64 (cos.f64 M) (pow.f64 m 4)) (cos.f64 M)))
(+.f64 (cos.f64 M) (.f64 (cos.f64 M) (+.f64 (.f64 -1/4 (.f64 m m)) (.f64 1/32 (pow.f64 m 4)))))
(.f64 (cos.f64 M) (+.f64 (.f64 -1/4 (*.f64 m m)) (fma.f64 1/32 (pow.f64 m 4) 1)))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 m 2) (cos.f64 M))) (+.f64 (.f64 1/32 (.f64 (pow.f64 m 4) (cos.f64 M))) (+.f64 (.f64 -1/384 (.f64 (pow.f64 m 6) (cos.f64 M))) (cos.f64 M))))
(fma.f64 -1/4 (.f64 (.f64 m m) (cos.f64 M)) (fma.f64 1/32 (.f64 (cos.f64 M) (pow.f64 m 4)) (fma.f64 -1/384 (.f64 (cos.f64 M) (pow.f64 m 6)) (cos.f64 M))))
(+.f64 (.f64 (cos.f64 M) (+.f64 (.f64 1/32 (pow.f64 m 4)) (.f64 -1/384 (pow.f64 m 6)))) (.f64 (+.f64 (.f64 -1/4 (.f64 m m)) 1) (cos.f64 M)))
(fma.f64 (cos.f64 M) (fma.f64 -1/4 (.f64 m m) (.f64 1/32 (pow.f64 m 4))) (*.f64 (cos.f64 M) (fma.f64 -1/384 (pow.f64 m 6) 1)))
(.f64 (cos.f64 M) (+.f64 (fma.f64 -1/4 (.f64 m m) 1) (fma.f64 1/32 (pow.f64 m 4) (*.f64 -1/384 (pow.f64 m 6)))))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 M))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 m m)) (cos.f64 M))
(exp.f64 (fma.f64 -1/4 (*.f64 m m) (log.f64 (cos.f64 M))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 M))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 m m)) (cos.f64 M))
(exp.f64 (fma.f64 -1/4 (*.f64 m m) (log.f64 (cos.f64 M))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 M))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 m m)) (cos.f64 M))
(exp.f64 (fma.f64 -1/4 (*.f64 m m) (log.f64 (cos.f64 M))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 M))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 m m)) (cos.f64 M))
(exp.f64 (fma.f64 -1/4 (*.f64 m m) (log.f64 (cos.f64 M))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 M))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 m m)) (cos.f64 M))
(exp.f64 (fma.f64 -1/4 (*.f64 m m) (log.f64 (cos.f64 M))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 M))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 m m)) (cos.f64 M))
(exp.f64 (fma.f64 -1/4 (*.f64 m m) (log.f64 (cos.f64 M))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 M))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 m m)) (cos.f64 M))
(exp.f64 (fma.f64 -1/4 (*.f64 m m) (log.f64 (cos.f64 M))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (cos.f64 M))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 m m)) (cos.f64 M))
(exp.f64 (fma.f64 -1/4 (*.f64 m m) (log.f64 (cos.f64 M))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4) (cos.f64 M))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 M) (pow.f64 (pow.f64 (exp.f64 m) -1/4) m)))) 1)
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 m m)) (cos.f64 M))
(exp.f64 (fma.f64 -1/4 (*.f64 m m) (log.f64 (cos.f64 M))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4) (cos.f64 M))
(pow.f64 (*.f64 (cos.f64 M) (pow.f64 (pow.f64 (exp.f64 m) -1/4) m)) 1)
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 m m)) (cos.f64 M))
(exp.f64 (fma.f64 -1/4 (*.f64 m m) (log.f64 (cos.f64 M))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4) (cos.f64 M))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 M) (pow.f64 (pow.f64 (exp.f64 m) -1/4) m))) 2)
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 m m)) (cos.f64 M))
(exp.f64 (fma.f64 -1/4 (*.f64 m m) (log.f64 (cos.f64 M))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4) (cos.f64 M))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 M) (pow.f64 (pow.f64 (exp.f64 m) -1/4) m))) 3)
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 m m)) (cos.f64 M))
(exp.f64 (fma.f64 -1/4 (*.f64 m m) (log.f64 (cos.f64 M))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4) (cos.f64 M))
(pow.f64 (pow.f64 (*.f64 (cos.f64 M) (pow.f64 (pow.f64 (exp.f64 m) -1/4) m)) 3) 1/3)
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 m m)) (cos.f64 M))
(exp.f64 (fma.f64 -1/4 (*.f64 m m) (log.f64 (cos.f64 M))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4) (cos.f64 M))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 M) (pow.f64 (pow.f64 (exp.f64 m) -1/4) m)) 2))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 m m)) (cos.f64 M))
(exp.f64 (fma.f64 -1/4 (*.f64 m m) (log.f64 (cos.f64 M))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4) (cos.f64 M))
(log.f64 (pow.f64 (exp.f64 (cos.f64 M)) (pow.f64 (pow.f64 (exp.f64 m) -1/4) m)))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 m m)) (cos.f64 M))
(exp.f64 (fma.f64 -1/4 (*.f64 m m) (log.f64 (cos.f64 M))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4) (cos.f64 M))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 M) (pow.f64 (pow.f64 (exp.f64 m) -1/4) m)))))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 m m)) (cos.f64 M))
(exp.f64 (fma.f64 -1/4 (*.f64 m m) (log.f64 (cos.f64 M))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4) (cos.f64 M))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 M) (pow.f64 (pow.f64 (exp.f64 m) -1/4) m)) 3))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 m m)) (cos.f64 M))
(exp.f64 (fma.f64 -1/4 (*.f64 m m) (log.f64 (cos.f64 M))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4) (cos.f64 M))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 M) (pow.f64 (pow.f64 (exp.f64 m) -1/4) m))))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 m m)) (cos.f64 M))
(exp.f64 (fma.f64 -1/4 (*.f64 m m) (log.f64 (cos.f64 M))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4) (cos.f64 M))
(exp.f64 (+.f64 (.f64 m (.f64 m -1/4)) (log.f64 (cos.f64 M))))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 m m)) (cos.f64 M))
(exp.f64 (fma.f64 -1/4 (*.f64 m m) (log.f64 (cos.f64 M))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4) (cos.f64 M))
(exp.f64 (.f64 (+.f64 (.f64 m (*.f64 m -1/4)) (log.f64 (cos.f64 M))) 1))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 m m)) (cos.f64 M))
(exp.f64 (fma.f64 -1/4 (*.f64 m m) (log.f64 (cos.f64 M))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4) (cos.f64 M))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 M) (pow.f64 (pow.f64 (exp.f64 m) -1/4) m))))
(.f64 (pow.f64 (exp.f64 -1/4) (.f64 m m)) (cos.f64 M))
(exp.f64 (fma.f64 -1/4 (*.f64 m m) (log.f64 (cos.f64 M))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4) (cos.f64 M))

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (*.f64 M M)))
	7.5b	(/.f64 (*.f64 (+.f64 m n) (-.f64 m n)) (/.f64 2 K))
	17.6b	(/.f64 (/.f64 (*.f64 (+.f64 m n) (-.f64 m n)) (/.f64 2 K)) (-.f64 m n))
	32.2b	(cos.f64 (-.f64 (/.f64 (/.f64 (*.f64 (+.f64 m n) (-.f64 m n)) (/.f64 2 K)) (-.f64 m n)) M))

Compiler

Compiled 152 to 41 computations (73% saved)

localize60.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.0b	(-.f64 (.f64 m m) (.f64 n n))
✓	7.5b	(.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K 1/2))
✓	17.6b	(.f64 (/.f64 1 (-.f64 m n)) (.f64 (-.f64 (.f64 m m) (.f64 n n)) (*.f64 K 1/2)))
✓	32.0b	(cos.f64 (-.f64 (.f64 (/.f64 1 (-.f64 m n)) (.f64 (-.f64 (.f64 m m) (.f64 n n)) (*.f64 K 1/2))) M))

Compiler

Compiled 209 to 82 computations (60.8% saved)

series14.0ms (0.1%)

Counts

4 → 144

Calls

36 calls:

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

rewrite129.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1490×	`associate-/r*`
496×	`associate-+l+`
446×	`add-sqr-sqrt`
434×	`pow1`
434×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	146
1	425	98
2	6001	98

Stop Event

1×	node limit

Counts

4 → 285

Calls

Call 1

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

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

simplify162.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1732×	`associate-/l*`
1150×	`associate-r`
986×	`associate-/l/`
964×	`associate-l`
790×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	771	21573
1	2175	20843

Stop Event

1×	node limit

Counts

429 → 492

Calls

Call 1

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

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

eval579.0ms (3.5%)

Compiler: Compiled 58073 to 22569 computations (61.1% saved)

prune660.0ms (4%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	1462	16	1478
Fresh	7	2	9
Picked	1	0	1
Done	4	0	4
Total	1474	18	1492

Error

0.8b

Counts

1492 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	28.2b	(pow.f64 (exp.f64 m) (*.f64 -1/4 m))
▶	47.0b	(/.f64 (+.f64 1 (.f64 -1/2 (.f64 M M))) (exp.f64 l))
	60.1b	(.f64 (+.f64 (.f64 -1/4 (*.f64 m m)) 1) (cos.f64 M))
	14.4b	(.f64 (log.f64 (exp.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))) (exp.f64 (-.f64 m (+.f64 n (+.f64 l (.f64 M M))))))
▶	31.6b	(.f64 (fabs.f64 (cos.f64 (-.f64 (.f64 K (/.f64 (+.f64 n m) 2)) M))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (*.f64 M M))))
	14.3b	(.f64 (cos.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)) 3)) (exp.f64 (-.f64 m (+.f64 n (+.f64 l (.f64 M M))))))
	41.3b	(.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K 1/2))) 3) (-.f64 m n)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
	36.1b	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (/.f64 2 K)) (-.f64 m n)) M)) (exp.f64 (-.f64 m (+.f64 n (+.f64 l (*.f64 M M))))))
	48.4b	(.f64 (cos.f64 (-.f64 (/.f64 (exp.f64 (log.f64 (.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K 1/2)))) (-.f64 m n)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
▶	14.3b	(.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 (-.f64 m (+.f64 n (+.f64 l (.f64 M M))))))
	41.4b	(.f64 (cos.f64 (-.f64 (.f64 (/.f64 1 (-.f64 m n)) (.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K 1/2))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (*.f64 M M))))
	22.0b	(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (-.f64 m (+.f64 n l))))
	59.7b	(*.f64 (cos.f64 M) (-.f64 1 l))
	25.8b	(.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M))))
▶	29.0b	(.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (*.f64 n n))))
	49.9b	(*.f64 (cos.f64 M) (exp.f64 l))
	40.7b	(exp.f64 (neg.f64 l))
▶	59.5b	(cos.f64 M)

Compiler

Compiled 766 to 528 computations (31.1% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 2 (+.f64 m n))
	0.0b	(exp.f64 (-.f64 m (+.f64 n (+.f64 l (*.f64 M M)))))
	0.2b	(/.f64 K (/.f64 2 (+.f64 m n)))
	32.0b	(cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M))

Compiler

Compiled 100 to 32 computations (68% saved)

localize5.0ms (0%)

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 -1/2 (.f64 M M))
✓	5.9b	(/.f64 (+.f64 1 (.f64 -1/2 (.f64 M M))) (exp.f64 l))

Compiler

Compiled 36 to 20 computations (44.4% saved)

series4.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	l	@	inf	(/.f64 (+.f64 1 (.f64 -1/2 (.f64 M M))) (exp.f64 l))
1.0ms	M	@	0	(/.f64 (+.f64 1 (.f64 -1/2 (.f64 M M))) (exp.f64 l))
1.0ms	M	@	inf	(/.f64 (+.f64 1 (.f64 -1/2 (.f64 M M))) (exp.f64 l))
1.0ms	l	@	0	(/.f64 (+.f64 1 (.f64 -1/2 (.f64 M M))) (exp.f64 l))
0.0ms	l	@	-inf	(/.f64 (+.f64 1 (.f64 -1/2 (.f64 M M))) (exp.f64 l))

rewrite71.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1056×	`*-commutative`
968×	`associate-*r/`
756×	`associate-/r*`
720×	`associate-*l/`
600×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	245	38
2	3082	38

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

Inputs
(/.f64 (+.f64 1 (.f64 -1/2 (.f64 M M))) (exp.f64 l))
(.f64 -1/2 (.f64 M M))

Outputs

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

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

simplify67.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1080×	`associate-+l+`
900×	`associate-*r/`
886×	`*-commutative`
626×	`associate-*l/`
600×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	206	3933
1	638	3605
2	2576	3123

Stop Event

1×	node limit

Counts

103 → 116

Calls

Call 1

Inputs
(/.f64 1 (exp.f64 l))
(+.f64 (/.f64 1 (exp.f64 l)) (*.f64 -1/2 (/.f64 (pow.f64 M 2) (exp.f64 l))))
(+.f64 (/.f64 1 (exp.f64 l)) (*.f64 -1/2 (/.f64 (pow.f64 M 2) (exp.f64 l))))
(+.f64 (/.f64 1 (exp.f64 l)) (*.f64 -1/2 (/.f64 (pow.f64 M 2) (exp.f64 l))))
(*.f64 -1/2 (/.f64 (pow.f64 M 2) (exp.f64 l)))
(+.f64 (/.f64 1 (exp.f64 l)) (*.f64 -1/2 (/.f64 (pow.f64 M 2) (exp.f64 l))))
(+.f64 (/.f64 1 (exp.f64 l)) (*.f64 -1/2 (/.f64 (pow.f64 M 2) (exp.f64 l))))
(+.f64 (/.f64 1 (exp.f64 l)) (*.f64 -1/2 (/.f64 (pow.f64 M 2) (exp.f64 l))))
(*.f64 -1/2 (/.f64 (pow.f64 M 2) (exp.f64 l)))
(+.f64 (/.f64 1 (exp.f64 l)) (*.f64 -1/2 (/.f64 (pow.f64 M 2) (exp.f64 l))))
(+.f64 (/.f64 1 (exp.f64 l)) (*.f64 -1/2 (/.f64 (pow.f64 M 2) (exp.f64 l))))
(+.f64 (/.f64 1 (exp.f64 l)) (*.f64 -1/2 (/.f64 (pow.f64 M 2) (exp.f64 l))))
(+.f64 1 (*.f64 -1/2 (pow.f64 M 2)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 l (+.f64 1 (.f64 -1/2 (pow.f64 M 2))))) (.f64 -1/2 (pow.f64 M 2))))
(+.f64 1 (+.f64 (.f64 -1 (.f64 l (+.f64 1 (.f64 -1/2 (pow.f64 M 2))))) (+.f64 (.f64 -1/2 (pow.f64 M 2)) (.f64 -1 (.f64 (pow.f64 l 2) (+.f64 (.f64 -1 (+.f64 1 (.f64 -1/2 (pow.f64 M 2)))) (.f64 1/2 (+.f64 1 (.f64 -1/2 (pow.f64 M 2))))))))))
(+.f64 1 (+.f64 (.f64 -1 (.f64 l (+.f64 1 (.f64 -1/2 (pow.f64 M 2))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (+.f64 (.f64 -1 (+.f64 1 (.f64 -1/2 (pow.f64 M 2)))) (.f64 1/2 (+.f64 1 (.f64 -1/2 (pow.f64 M 2)))))) (+.f64 (.f64 1/6 (+.f64 1 (.f64 -1/2 (pow.f64 M 2)))) (.f64 -1/2 (+.f64 1 (.f64 -1/2 (pow.f64 M 2)))))) (pow.f64 l 3))) (+.f64 (.f64 -1/2 (pow.f64 M 2)) (.f64 -1 (.f64 (pow.f64 l 2) (+.f64 (.f64 -1 (+.f64 1 (.f64 -1/2 (pow.f64 M 2)))) (.f64 1/2 (+.f64 1 (*.f64 -1/2 (pow.f64 M 2)))))))))))
(/.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 M 2))) (exp.f64 l))
(/.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 M 2))) (exp.f64 l))
(/.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 M 2))) (exp.f64 l))
(/.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 M 2))) (exp.f64 l))
(/.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 M 2))) (exp.f64 l))
(/.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 M 2))) (exp.f64 l))
(/.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 M 2))) (exp.f64 l))
(/.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 M 2))) (exp.f64 l))
(*.f64 -1/2 (pow.f64 M 2))
(*.f64 -1/2 (pow.f64 M 2))
(*.f64 -1/2 (pow.f64 M 2))
(*.f64 -1/2 (pow.f64 M 2))
(*.f64 -1/2 (pow.f64 M 2))
(*.f64 -1/2 (pow.f64 M 2))
(*.f64 -1/2 (pow.f64 M 2))
(*.f64 -1/2 (pow.f64 M 2))
(*.f64 -1/2 (pow.f64 M 2))
(*.f64 -1/2 (pow.f64 M 2))
(*.f64 -1/2 (pow.f64 M 2))
(*.f64 -1/2 (pow.f64 M 2))
(+.f64 (exp.f64 (neg.f64 l)) (.f64 (exp.f64 (neg.f64 l)) (.f64 -1/2 (*.f64 M M))))
(+.f64 (exp.f64 (neg.f64 l)) (.f64 (.f64 -1/2 (*.f64 M M)) (exp.f64 (neg.f64 l))))
(+.f64 (.f64 (exp.f64 (neg.f64 l)) (.f64 -1/2 (*.f64 M M))) (exp.f64 (neg.f64 l)))
(+.f64 (.f64 (.f64 -1/2 (*.f64 M M)) (exp.f64 (neg.f64 l))) (exp.f64 (neg.f64 l)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l)))) 1)
(.f64 1 (/.f64 (fma.f64 -1/2 (.f64 M M) 1) (exp.f64 l)))
(.f64 (fma.f64 -1/2 (.f64 M M) 1) (exp.f64 (neg.f64 l)))
(.f64 (/.f64 (fma.f64 -1/2 (.f64 M M) 1) (exp.f64 l)) 1)
(.f64 (hypot.f64 1 (.f64 M (sqrt.f64 -1/2))) (/.f64 (hypot.f64 1 (*.f64 M (sqrt.f64 -1/2))) (exp.f64 l)))
(.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 (.f64 M M) 1) (exp.f64 l))) (sqrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 M M) 1)) 2) (/.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 M M) 1)) (exp.f64 l)))
(.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (.f64 M M) 1) (exp.f64 l))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l))) 2))
(.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (.f64 M M) 1) (exp.f64 l))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 M M) 1)) 2) (pow.f64 (cbrt.f64 (exp.f64 l)) 2)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (.f64 M M) 1) (exp.f64 l))) 2) (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l))))
(.f64 (exp.f64 (neg.f64 l)) (fma.f64 -1/2 (.f64 M M) 1))
(.f64 (neg.f64 (fma.f64 -1/2 (.f64 M M) 1)) (/.f64 -1 (exp.f64 l)))
(.f64 (/.f64 (hypot.f64 1 (.f64 M (sqrt.f64 -1/2))) (exp.f64 l)) (hypot.f64 1 (*.f64 M (sqrt.f64 -1/2))))
(.f64 (/.f64 (hypot.f64 1 (.f64 M (sqrt.f64 -1/2))) (exp.f64 l)) (/.f64 (hypot.f64 1 (*.f64 M (sqrt.f64 -1/2))) 1))
(.f64 (/.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 M M) 1)) (exp.f64 l)) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 M M) 1)) 2))
(.f64 (/.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 M M) 1)) (exp.f64 l)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 M M) 1)) 2) 1))
(.f64 (/.f64 1 (sqrt.f64 (exp.f64 l))) (/.f64 (fma.f64 -1/2 (.f64 M M) 1) (sqrt.f64 (exp.f64 l))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 l)) 2)) (/.f64 (fma.f64 -1/2 (.f64 M M) 1) (cbrt.f64 (exp.f64 l))))
(.f64 (/.f64 (fma.f64 -1/2 (.f64 M M) 1) (sqrt.f64 (exp.f64 l))) (/.f64 1 (sqrt.f64 (exp.f64 l))))
(.f64 (/.f64 (fma.f64 -1/2 (.f64 M M) 1) (cbrt.f64 (exp.f64 l))) (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 l)) 2)))
(.f64 (/.f64 -1 (exp.f64 l)) (neg.f64 (fma.f64 -1/2 (.f64 M M) 1)))
(.f64 (/.f64 (hypot.f64 1 (.f64 M (sqrt.f64 -1/2))) 1) (/.f64 (hypot.f64 1 (*.f64 M (sqrt.f64 -1/2))) (exp.f64 l)))
(.f64 (/.f64 (hypot.f64 1 (.f64 M (sqrt.f64 -1/2))) (pow.f64 (cbrt.f64 (exp.f64 l)) 2)) (/.f64 (hypot.f64 1 (*.f64 M (sqrt.f64 -1/2))) (cbrt.f64 (exp.f64 l))))
(.f64 (/.f64 (hypot.f64 1 (.f64 M (sqrt.f64 -1/2))) (cbrt.f64 (exp.f64 l))) (/.f64 (hypot.f64 1 (*.f64 M (sqrt.f64 -1/2))) (pow.f64 (cbrt.f64 (exp.f64 l)) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 M M) 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 M M) 1)) (exp.f64 l)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 M M) 1)) 2) (sqrt.f64 (exp.f64 l))) (/.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 M M) 1)) (sqrt.f64 (exp.f64 l))))
(.f64 (/.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 M M) 1)) (sqrt.f64 (exp.f64 l))) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 M M) 1)) 2) (sqrt.f64 (exp.f64 l))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 M M) 1)) 2) (pow.f64 (cbrt.f64 (exp.f64 l)) 2)) (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 M M) 1)) 2) (exp.f64 l)) (cbrt.f64 (fma.f64 -1/2 (*.f64 M M) 1)))
(.f64 (/.f64 1 (/.f64 (exp.f64 l) (pow.f64 (cbrt.f64 (fma.f64 -1/2 (.f64 M M) 1)) 2))) (cbrt.f64 (fma.f64 -1/2 (*.f64 M M) 1)))
(.f64 (/.f64 (/.f64 (-.f64 1 (.f64 (pow.f64 M 4) 1/4)) (exp.f64 l)) (-.f64 1 (.f64 (pow.f64 M 4) 1/4))) (fma.f64 -1/2 (.f64 M M) 1))
(.f64 (/.f64 (/.f64 (-.f64 1 (.f64 (pow.f64 M 4) 1/4)) (exp.f64 l)) (-.f64 1 (.f64 (pow.f64 (.f64 M M) 3) -1/8))) (+.f64 (+.f64 1 (.f64 (pow.f64 M 4) 1/4)) (.f64 -1/2 (*.f64 M M))))
(.f64 (/.f64 (/.f64 (+.f64 1 (.f64 (pow.f64 (.f64 M M) 3) -1/8)) (exp.f64 l)) (-.f64 1 (.f64 (+.f64 (.f64 (pow.f64 M 4) 1/4) (.f64 (.f64 M M) 1/2)) (+.f64 (.f64 (pow.f64 M 4) 1/4) (.f64 (.f64 M M) 1/2))))) (+.f64 (-.f64 1 (.f64 (pow.f64 M 4) 1/4)) (.f64 -1/2 (*.f64 M M))))
(.f64 (/.f64 (/.f64 (+.f64 1 (.f64 (pow.f64 (.f64 M M) 3) -1/8)) (exp.f64 l)) (+.f64 1 (pow.f64 (+.f64 (.f64 (pow.f64 M 4) 1/4) (.f64 (.f64 M M) 1/2)) 3))) (+.f64 1 (-.f64 (.f64 (+.f64 (.f64 (pow.f64 M 4) 1/4) (.f64 (.f64 M M) 1/2)) (+.f64 (.f64 (pow.f64 M 4) 1/4) (.f64 (.f64 M M) 1/2))) (+.f64 (.f64 (pow.f64 M 4) 1/4) (.f64 (.f64 M M) 1/2)))))
(pow.f64 (/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l)) 1)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l))) 2)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l)) 3) 1/3)
(pow.f64 (/.f64 (exp.f64 l) (fma.f64 -1/2 (*.f64 M M) 1)) -1)
(neg.f64 (/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (neg.f64 (exp.f64 l))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l)) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l)) 3))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l))))
(exp.f64 (-.f64 (log1p.f64 (.f64 -1/2 (.f64 M M))) l))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l))))
(+.f64 1 (-.f64 (.f64 -1/2 (.f64 M M)) 1))
(+.f64 (.f64 -1/2 (.f64 M M)) 0)
(-.f64 (fma.f64 -1/2 (*.f64 M M) 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 M M) 1))) 2)
(-.f64 (/.f64 1 (+.f64 1 (.f64 (.f64 M M) 1/2))) (+.f64 (/.f64 (pow.f64 M 4) (/.f64 (+.f64 1 (.f64 (.f64 M M) 1/2)) 1/4)) 1))
(pow.f64 (.f64 -1/2 (.f64 M M)) 1)
(pow.f64 (*.f64 M (sqrt.f64 -1/2)) 2)
(pow.f64 (cbrt.f64 (.f64 -1/2 (.f64 M M))) 3)
(pow.f64 (.f64 (pow.f64 (.f64 M M) 3) -1/8) 1/3)
(sqrt.f64 (*.f64 (pow.f64 M 4) 1/4))
(log.f64 (pow.f64 (exp.f64 (*.f64 -1/2 M)) M))
(log.f64 (+.f64 1 (expm1.f64 (.f64 -1/2 (.f64 M M)))))
(cbrt.f64 (.f64 (pow.f64 (.f64 M M) 3) -1/8))
(expm1.f64 (log1p.f64 (.f64 -1/2 (.f64 M M))))
(exp.f64 (log.f64 (.f64 -1/2 (.f64 M M))))
(log1p.f64 (expm1.f64 (.f64 -1/2 (.f64 M M))))

Outputs
(/.f64 1 (exp.f64 l))
(exp.f64 (neg.f64 l))
(+.f64 (/.f64 1 (exp.f64 l)) (*.f64 -1/2 (/.f64 (pow.f64 M 2) (exp.f64 l))))
(+.f64 (/.f64 (.f64 -1/2 (.f64 M M)) (exp.f64 l)) (exp.f64 (neg.f64 l)))
(fma.f64 -1/2 (/.f64 M (/.f64 (exp.f64 l) M)) (exp.f64 (neg.f64 l)))
(/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l))
(+.f64 (/.f64 1 (exp.f64 l)) (*.f64 -1/2 (/.f64 (pow.f64 M 2) (exp.f64 l))))
(+.f64 (/.f64 (.f64 -1/2 (.f64 M M)) (exp.f64 l)) (exp.f64 (neg.f64 l)))
(fma.f64 -1/2 (/.f64 M (/.f64 (exp.f64 l) M)) (exp.f64 (neg.f64 l)))
(/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l))
(+.f64 (/.f64 1 (exp.f64 l)) (*.f64 -1/2 (/.f64 (pow.f64 M 2) (exp.f64 l))))
(+.f64 (/.f64 (.f64 -1/2 (.f64 M M)) (exp.f64 l)) (exp.f64 (neg.f64 l)))
(fma.f64 -1/2 (/.f64 M (/.f64 (exp.f64 l) M)) (exp.f64 (neg.f64 l)))
(/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l))
(*.f64 -1/2 (/.f64 (pow.f64 M 2) (exp.f64 l)))
(/.f64 (.f64 -1/2 (.f64 M M)) (exp.f64 l))
(.f64 -1/2 (.f64 (/.f64 M (exp.f64 l)) M))
(+.f64 (/.f64 1 (exp.f64 l)) (*.f64 -1/2 (/.f64 (pow.f64 M 2) (exp.f64 l))))
(+.f64 (/.f64 (.f64 -1/2 (.f64 M M)) (exp.f64 l)) (exp.f64 (neg.f64 l)))
(fma.f64 -1/2 (/.f64 M (/.f64 (exp.f64 l) M)) (exp.f64 (neg.f64 l)))
(/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l))
(+.f64 (/.f64 1 (exp.f64 l)) (*.f64 -1/2 (/.f64 (pow.f64 M 2) (exp.f64 l))))
(+.f64 (/.f64 (.f64 -1/2 (.f64 M M)) (exp.f64 l)) (exp.f64 (neg.f64 l)))
(fma.f64 -1/2 (/.f64 M (/.f64 (exp.f64 l) M)) (exp.f64 (neg.f64 l)))
(/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l))
(+.f64 (/.f64 1 (exp.f64 l)) (*.f64 -1/2 (/.f64 (pow.f64 M 2) (exp.f64 l))))
(+.f64 (/.f64 (.f64 -1/2 (.f64 M M)) (exp.f64 l)) (exp.f64 (neg.f64 l)))
(fma.f64 -1/2 (/.f64 M (/.f64 (exp.f64 l) M)) (exp.f64 (neg.f64 l)))
(/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l))
(*.f64 -1/2 (/.f64 (pow.f64 M 2) (exp.f64 l)))
(/.f64 (.f64 -1/2 (.f64 M M)) (exp.f64 l))
(.f64 -1/2 (.f64 (/.f64 M (exp.f64 l)) M))
(+.f64 (/.f64 1 (exp.f64 l)) (*.f64 -1/2 (/.f64 (pow.f64 M 2) (exp.f64 l))))
(+.f64 (/.f64 (.f64 -1/2 (.f64 M M)) (exp.f64 l)) (exp.f64 (neg.f64 l)))
(fma.f64 -1/2 (/.f64 M (/.f64 (exp.f64 l) M)) (exp.f64 (neg.f64 l)))
(/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l))
(+.f64 (/.f64 1 (exp.f64 l)) (*.f64 -1/2 (/.f64 (pow.f64 M 2) (exp.f64 l))))
(+.f64 (/.f64 (.f64 -1/2 (.f64 M M)) (exp.f64 l)) (exp.f64 (neg.f64 l)))
(fma.f64 -1/2 (/.f64 M (/.f64 (exp.f64 l) M)) (exp.f64 (neg.f64 l)))
(/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l))
(+.f64 (/.f64 1 (exp.f64 l)) (*.f64 -1/2 (/.f64 (pow.f64 M 2) (exp.f64 l))))
(+.f64 (/.f64 (.f64 -1/2 (.f64 M M)) (exp.f64 l)) (exp.f64 (neg.f64 l)))
(fma.f64 -1/2 (/.f64 M (/.f64 (exp.f64 l) M)) (exp.f64 (neg.f64 l)))
(/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l))
(+.f64 1 (*.f64 -1/2 (pow.f64 M 2)))
(fma.f64 -1/2 (*.f64 M M) 1)
(fma.f64 (*.f64 -1/2 M) M 1)
(+.f64 1 (+.f64 (.f64 -1 (.f64 l (+.f64 1 (.f64 -1/2 (pow.f64 M 2))))) (.f64 -1/2 (pow.f64 M 2))))
(+.f64 1 (fma.f64 -1 (.f64 l (fma.f64 -1/2 (.f64 M M) 1)) (.f64 -1/2 (.f64 M M))))
(+.f64 1 (-.f64 (.f64 -1/2 (.f64 M M)) (.f64 l (fma.f64 (.f64 -1/2 M) M 1))))
(.f64 (fma.f64 -1/2 (.f64 M M) 1) (+.f64 (neg.f64 l) 1))
(+.f64 1 (+.f64 (.f64 -1 (.f64 l (+.f64 1 (.f64 -1/2 (pow.f64 M 2))))) (+.f64 (.f64 -1/2 (pow.f64 M 2)) (.f64 -1 (.f64 (pow.f64 l 2) (+.f64 (.f64 -1 (+.f64 1 (.f64 -1/2 (pow.f64 M 2)))) (.f64 1/2 (+.f64 1 (.f64 -1/2 (pow.f64 M 2))))))))))
(+.f64 1 (fma.f64 -1 (.f64 l (fma.f64 -1/2 (.f64 M M) 1)) (fma.f64 -1/2 (.f64 M M) (neg.f64 (.f64 (.f64 l l) (.f64 -1/2 (fma.f64 -1/2 (*.f64 M M) 1)))))))
(+.f64 1 (-.f64 (fma.f64 -1/2 (.f64 M M) (.f64 l (.f64 l (+.f64 1/2 (.f64 (.f64 M M) -1/4))))) (.f64 l (fma.f64 (*.f64 -1/2 M) M 1))))
(+.f64 (fma.f64 -1/2 (.f64 M M) 1) (.f64 (fma.f64 -1/2 (.f64 M M) 1) (+.f64 (.f64 (*.f64 l l) 1/2) (neg.f64 l))))
(+.f64 1 (+.f64 (.f64 -1 (.f64 l (+.f64 1 (.f64 -1/2 (pow.f64 M 2))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (+.f64 (.f64 -1 (+.f64 1 (.f64 -1/2 (pow.f64 M 2)))) (.f64 1/2 (+.f64 1 (.f64 -1/2 (pow.f64 M 2)))))) (+.f64 (.f64 1/6 (+.f64 1 (.f64 -1/2 (pow.f64 M 2)))) (.f64 -1/2 (+.f64 1 (.f64 -1/2 (pow.f64 M 2)))))) (pow.f64 l 3))) (+.f64 (.f64 -1/2 (pow.f64 M 2)) (.f64 -1 (.f64 (pow.f64 l 2) (+.f64 (.f64 -1 (+.f64 1 (.f64 -1/2 (pow.f64 M 2)))) (.f64 1/2 (+.f64 1 (*.f64 -1/2 (pow.f64 M 2)))))))))))
(+.f64 1 (fma.f64 -1 (.f64 l (fma.f64 -1/2 (.f64 M M) 1)) (fma.f64 -1 (.f64 (fma.f64 -1 (.f64 -1/2 (fma.f64 -1/2 (.f64 M M) 1)) (.f64 (fma.f64 -1/2 (.f64 M M) 1) -1/3)) (pow.f64 l 3)) (fma.f64 -1/2 (.f64 M M) (neg.f64 (.f64 (.f64 l l) (.f64 -1/2 (fma.f64 -1/2 (.f64 M M) 1))))))))
(+.f64 1 (-.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (.f64 -1/2 M) M 1) -1/3 (+.f64 1/2 (.f64 (.f64 M M) -1/4)))) (pow.f64 l 3) (fma.f64 -1/2 (.f64 M M) (.f64 l (.f64 l (+.f64 1/2 (.f64 (.f64 M M) -1/4)))))) (.f64 l (fma.f64 (.f64 -1/2 M) M 1))))
(-.f64 (+.f64 (fma.f64 -1/2 (.f64 M M) 1) (.f64 (fma.f64 -1/2 (.f64 M M) 1) (+.f64 (.f64 (.f64 l l) 1/2) (neg.f64 l)))) (.f64 (+.f64 1/6 (.f64 (.f64 M M) -1/12)) (pow.f64 l 3)))
(/.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 M 2))) (exp.f64 l))
(+.f64 (/.f64 (.f64 -1/2 (.f64 M M)) (exp.f64 l)) (exp.f64 (neg.f64 l)))
(fma.f64 -1/2 (/.f64 M (/.f64 (exp.f64 l) M)) (exp.f64 (neg.f64 l)))
(/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l))
(/.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 M 2))) (exp.f64 l))
(+.f64 (/.f64 (.f64 -1/2 (.f64 M M)) (exp.f64 l)) (exp.f64 (neg.f64 l)))
(fma.f64 -1/2 (/.f64 M (/.f64 (exp.f64 l) M)) (exp.f64 (neg.f64 l)))
(/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l))
(/.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 M 2))) (exp.f64 l))
(+.f64 (/.f64 (.f64 -1/2 (.f64 M M)) (exp.f64 l)) (exp.f64 (neg.f64 l)))
(fma.f64 -1/2 (/.f64 M (/.f64 (exp.f64 l) M)) (exp.f64 (neg.f64 l)))
(/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l))
(/.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 M 2))) (exp.f64 l))
(+.f64 (/.f64 (.f64 -1/2 (.f64 M M)) (exp.f64 l)) (exp.f64 (neg.f64 l)))
(fma.f64 -1/2 (/.f64 M (/.f64 (exp.f64 l) M)) (exp.f64 (neg.f64 l)))
(/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l))
(/.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 M 2))) (exp.f64 l))
(+.f64 (/.f64 (.f64 -1/2 (.f64 M M)) (exp.f64 l)) (exp.f64 (neg.f64 l)))
(fma.f64 -1/2 (/.f64 M (/.f64 (exp.f64 l) M)) (exp.f64 (neg.f64 l)))
(/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l))
(/.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 M 2))) (exp.f64 l))
(+.f64 (/.f64 (.f64 -1/2 (.f64 M M)) (exp.f64 l)) (exp.f64 (neg.f64 l)))
(fma.f64 -1/2 (/.f64 M (/.f64 (exp.f64 l) M)) (exp.f64 (neg.f64 l)))
(/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l))
(/.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 M 2))) (exp.f64 l))
(+.f64 (/.f64 (.f64 -1/2 (.f64 M M)) (exp.f64 l)) (exp.f64 (neg.f64 l)))
(fma.f64 -1/2 (/.f64 M (/.f64 (exp.f64 l) M)) (exp.f64 (neg.f64 l)))
(/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l))
(/.f64 (+.f64 1 (*.f64 -1/2 (pow.f64 M 2))) (exp.f64 l))
(+.f64 (/.f64 (.f64 -1/2 (.f64 M M)) (exp.f64 l)) (exp.f64 (neg.f64 l)))
(fma.f64 -1/2 (/.f64 M (/.f64 (exp.f64 l) M)) (exp.f64 (neg.f64 l)))
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(.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 M 6) -1/8 1) (exp.f64 l)) (+.f64 1 (pow.f64 (fma.f64 M (.f64 M 1/2) (.f64 (pow.f64 M 4) 1/4)) 3))) (-.f64 (fma.f64 (fma.f64 M (.f64 M 1/2) (.f64 (pow.f64 M 4) 1/4)) (fma.f64 M (.f64 M 1/2) (.f64 (pow.f64 M 4) 1/4)) (.f64 (pow.f64 M 4) -1/4)) (-.f64 (.f64 M (.f64 M 1/2)) 1)))
(.f64 (/.f64 (fma.f64 (pow.f64 M 6) -1/8 1) (+.f64 1 (pow.f64 (fma.f64 M (.f64 M 1/2) (.f64 (pow.f64 M 4) 1/4)) 3))) (/.f64 (+.f64 1 (.f64 (fma.f64 M (.f64 M 1/2) (.f64 (pow.f64 M 4) 1/4)) (+.f64 (fma.f64 M (.f64 M 1/2) (.f64 (pow.f64 M 4) 1/4)) -1))) (exp.f64 l)))
(pow.f64 (/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l)) 1)
(+.f64 (/.f64 (.f64 -1/2 (.f64 M M)) (exp.f64 l)) (exp.f64 (neg.f64 l)))
(fma.f64 -1/2 (/.f64 M (/.f64 (exp.f64 l) M)) (exp.f64 (neg.f64 l)))
(/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l))
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l))) 2)
(+.f64 (/.f64 (.f64 -1/2 (.f64 M M)) (exp.f64 l)) (exp.f64 (neg.f64 l)))
(fma.f64 -1/2 (/.f64 M (/.f64 (exp.f64 l) M)) (exp.f64 (neg.f64 l)))
(/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l))) 3)
(+.f64 (/.f64 (.f64 -1/2 (.f64 M M)) (exp.f64 l)) (exp.f64 (neg.f64 l)))
(fma.f64 -1/2 (/.f64 M (/.f64 (exp.f64 l) M)) (exp.f64 (neg.f64 l)))
(/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l))
(pow.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l)) 3) 1/3)
(+.f64 (/.f64 (.f64 -1/2 (.f64 M M)) (exp.f64 l)) (exp.f64 (neg.f64 l)))
(fma.f64 -1/2 (/.f64 M (/.f64 (exp.f64 l) M)) (exp.f64 (neg.f64 l)))
(/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l))
(pow.f64 (/.f64 (exp.f64 l) (fma.f64 -1/2 (*.f64 M M) 1)) -1)
(+.f64 (/.f64 (.f64 -1/2 (.f64 M M)) (exp.f64 l)) (exp.f64 (neg.f64 l)))
(fma.f64 -1/2 (/.f64 M (/.f64 (exp.f64 l) M)) (exp.f64 (neg.f64 l)))
(/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l))
(neg.f64 (/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (neg.f64 (exp.f64 l))))
(+.f64 (/.f64 (.f64 -1/2 (.f64 M M)) (exp.f64 l)) (exp.f64 (neg.f64 l)))
(fma.f64 -1/2 (/.f64 M (/.f64 (exp.f64 l) M)) (exp.f64 (neg.f64 l)))
(/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l)) 2))
(fabs.f64 (/.f64 (fma.f64 (*.f64 -1/2 M) M 1) (exp.f64 l)))
(fabs.f64 (/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l)))
(log.f64 (exp.f64 (/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l))))
(+.f64 (/.f64 (.f64 -1/2 (.f64 M M)) (exp.f64 l)) (exp.f64 (neg.f64 l)))
(fma.f64 -1/2 (/.f64 M (/.f64 (exp.f64 l) M)) (exp.f64 (neg.f64 l)))
(/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l)))))
(+.f64 (/.f64 (.f64 -1/2 (.f64 M M)) (exp.f64 l)) (exp.f64 (neg.f64 l)))
(fma.f64 -1/2 (/.f64 M (/.f64 (exp.f64 l) M)) (exp.f64 (neg.f64 l)))
(/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l)) 3))
(+.f64 (/.f64 (.f64 -1/2 (.f64 M M)) (exp.f64 l)) (exp.f64 (neg.f64 l)))
(fma.f64 -1/2 (/.f64 M (/.f64 (exp.f64 l) M)) (exp.f64 (neg.f64 l)))
(/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l))))
(+.f64 (/.f64 (.f64 -1/2 (.f64 M M)) (exp.f64 l)) (exp.f64 (neg.f64 l)))
(fma.f64 -1/2 (/.f64 M (/.f64 (exp.f64 l) M)) (exp.f64 (neg.f64 l)))
(/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l))
(exp.f64 (-.f64 (log1p.f64 (.f64 -1/2 (.f64 M M))) l))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l))))
(+.f64 (/.f64 (.f64 -1/2 (.f64 M M)) (exp.f64 l)) (exp.f64 (neg.f64 l)))
(fma.f64 -1/2 (/.f64 M (/.f64 (exp.f64 l) M)) (exp.f64 (neg.f64 l)))
(/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l))
(+.f64 1 (-.f64 (.f64 -1/2 (.f64 M M)) 1))
(.f64 -1/2 (.f64 M M))
(+.f64 (.f64 -1/2 (.f64 M M)) 0)
(.f64 -1/2 (.f64 M M))
(-.f64 (fma.f64 -1/2 (*.f64 M M) 1) 1)
(.f64 -1/2 (.f64 M M))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 M M) 1))) 2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 -1/2 (*.f64 M M) 1))) -2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 -1/2 M) M 1))) -2)
(-.f64 (/.f64 1 (+.f64 1 (.f64 (.f64 M M) 1/2))) (+.f64 (/.f64 (pow.f64 M 4) (/.f64 (+.f64 1 (.f64 (.f64 M M) 1/2)) 1/4)) 1))
(-.f64 (/.f64 1 (+.f64 1 (.f64 1/2 (.f64 M M)))) (+.f64 1 (.f64 (/.f64 (pow.f64 M 4) (+.f64 1 (.f64 1/2 (*.f64 M M)))) 1/4)))
(-.f64 (/.f64 1 (fma.f64 M (.f64 M 1/2) 1)) (fma.f64 (/.f64 (pow.f64 M 4) (fma.f64 M (.f64 M 1/2) 1)) 1/4 1))
(-.f64 (/.f64 1 (fma.f64 1/2 (.f64 M M) 1)) (fma.f64 (/.f64 (pow.f64 M 4) (fma.f64 1/2 (.f64 M M) 1)) 1/4 1))
(pow.f64 (.f64 -1/2 (.f64 M M)) 1)
(.f64 -1/2 (.f64 M M))
(pow.f64 (*.f64 M (sqrt.f64 -1/2)) 2)
(pow.f64 (cbrt.f64 (.f64 -1/2 (.f64 M M))) 3)
(.f64 -1/2 (.f64 M M))
(pow.f64 (.f64 (pow.f64 (.f64 M M) 3) -1/8) 1/3)
(cbrt.f64 (.f64 (pow.f64 (.f64 M M) 3) -1/8))
(cbrt.f64 (*.f64 (pow.f64 M 6) -1/8))
(sqrt.f64 (*.f64 (pow.f64 M 4) 1/4))
(log.f64 (pow.f64 (exp.f64 (*.f64 -1/2 M)) M))
(.f64 -1/2 (.f64 M M))
(log.f64 (+.f64 1 (expm1.f64 (.f64 -1/2 (.f64 M M)))))
(.f64 -1/2 (.f64 M M))
(cbrt.f64 (.f64 (pow.f64 (.f64 M M) 3) -1/8))
(cbrt.f64 (*.f64 (pow.f64 M 6) -1/8))
(expm1.f64 (log1p.f64 (.f64 -1/2 (.f64 M M))))
(.f64 -1/2 (.f64 M M))
(exp.f64 (log.f64 (.f64 -1/2 (.f64 M M))))
(.f64 -1/2 (.f64 M M))
(log1p.f64 (expm1.f64 (.f64 -1/2 (.f64 M M))))
(.f64 -1/2 (.f64 M M))

localize12.0ms (0.1%)

Compiler: Compiled 33 to 17 computations (48.5% saved)

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 K (/.f64 (+.f64 n m) 2)) M)
✓	0.0b	(*.f64 K (/.f64 (+.f64 n m) 2))
	0.0b	(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (*.f64 M M)))
✓	32.1b	(cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 n m) 2)) M))

Compiler

Compiled 116 to 40 computations (65.5% 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) 2)) M))
0.0ms	n	@	0	(cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 n m) 2)) M))
0.0ms	m	@	0	(cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 n m) 2)) M))
0.0ms	M	@	0	(cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 n m) 2)) M))
0.0ms	n	@	-inf	(cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 n m) 2)) M))

rewrite100.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1890×	`associate-*l/`
996×	`distribute-lft-in`
478×	`associate-/r*`
428×	`associate-/l*`
318×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	73
1	295	73
2	4034	73

Stop Event

1×	node limit

Counts

3 → 194

Calls

Call 1

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

Outputs

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

simplify172.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1308×	`+-commutative`
1034×	`associate-r`
852×	`fma-def`
820×	`associate-l`
706×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	612	14844
1	1810	14614
2	7970	14614

Stop Event

1×	node limit

Counts

326 → 356

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 (.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 (.f64 (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (sin.f64 M)) 1) (.f64 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (cos.f64 M)) 1))
(+.f64 (.f64 1 (.f64 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (cos.f64 M)) 1)) (.f64 1 (.f64 (.f64 (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (sin.f64 M)) 1)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))) 1)
(-.f64 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (cos.f64 (neg.f64 M))) (.f64 (sin.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (sin.f64 (neg.f64 M))))
(.f64 (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M)) 1)
(.f64 1 (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M)))
(.f64 (sqrt.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))) (sqrt.f64 (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M))))
(.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M))) 2))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))) 2) (cbrt.f64 (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M))))
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(/.f64 (+.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M (fma.f64 K (.f64 (+.f64 n m) 1/2) M))) (/.f64 (+.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M (fma.f64 K (.f64 (+.f64 n m) 1/2) M))) (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M M))) (/.f64 (fma.f64 K (.f64 (+.f64 n m) 1/2) M) (sqrt.f64 (-.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (*.f64 M M)))))
(/.f64 (sqrt.f64 (-.f64 (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) (pow.f64 M 3))) (/.f64 (+.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M (fma.f64 K (.f64 (+.f64 n m) 1/2) M))) (sqrt.f64 (-.f64 (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) (pow.f64 M 3)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M M))) (cbrt.f64 (-.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M M)))) (/.f64 (fma.f64 K (.f64 (+.f64 n m) 1/2) M) (cbrt.f64 (-.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (*.f64 M M)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) (pow.f64 M 3))) (cbrt.f64 (-.f64 (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) (pow.f64 M 3)))) (/.f64 (+.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M (fma.f64 K (.f64 (+.f64 n m) 1/2) M))) (cbrt.f64 (-.f64 (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) (pow.f64 M 3)))))
(/.f64 (-.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 (neg.f64 M) (neg.f64 M))) (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) (neg.f64 M)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2)) (.f64 (.f64 M M) (.f64 M M))) (.f64 (fma.f64 K (.f64 (+.f64 n m) 1/2) M) (+.f64 (.f64 M M) (pow.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) 2))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8)) (.f64 (pow.f64 M 3) (pow.f64 M 3))) (.f64 (+.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M (fma.f64 K (.f64 (+.f64 n m) 1/2) M))) (+.f64 (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) (pow.f64 M 3))))
(/.f64 (+.f64 (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) (pow.f64 (neg.f64 M) 3)) (+.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (-.f64 (.f64 (neg.f64 M) (neg.f64 M)) (.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) (neg.f64 M)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) 3) (pow.f64 (.f64 M M) 3)) (.f64 (fma.f64 K (.f64 (+.f64 n m) 1/2) M) (+.f64 (.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2)) (+.f64 (.f64 (.f64 M M) (.f64 M M)) (.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (*.f64 M M))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) 3) (pow.f64 (pow.f64 M 3) 3)) (.f64 (+.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M (fma.f64 K (.f64 (+.f64 n m) 1/2) M))) (+.f64 (.f64 (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8)) (+.f64 (.f64 (pow.f64 M 3) (pow.f64 M 3)) (.f64 (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) (pow.f64 M 3))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M M))) (neg.f64 (fma.f64 K (.f64 (+.f64 n m) 1/2) M)))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) (pow.f64 M 3))) (neg.f64 (+.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M (fma.f64 K (*.f64 (+.f64 n m) 1/2) M)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M M)) 1) (fma.f64 K (*.f64 (+.f64 n m) 1/2) M))
(/.f64 (.f64 (-.f64 (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) (pow.f64 M 3)) 1) (+.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M (fma.f64 K (.f64 (+.f64 n m) 1/2) M))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 (neg.f64 M) (neg.f64 M))) 1) (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) (neg.f64 M)))
(/.f64 (.f64 (+.f64 (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) (pow.f64 (neg.f64 M) 3)) 1) (+.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (-.f64 (.f64 (neg.f64 M) (neg.f64 M)) (.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) (neg.f64 M)))))
(/.f64 (.f64 (neg.f64 (-.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M M))) 1) (neg.f64 (fma.f64 K (*.f64 (+.f64 n m) 1/2) M)))
(/.f64 (.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) (pow.f64 M 3))) 1) (neg.f64 (+.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M (fma.f64 K (.f64 (+.f64 n m) 1/2) M)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M M))) (sqrt.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))) (sqrt.f64 (fma.f64 K (*.f64 (+.f64 n m) 1/2) M)))
(/.f64 (.f64 (sqrt.f64 (-.f64 (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) (pow.f64 M 3))) (sqrt.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))) (sqrt.f64 (+.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M (fma.f64 K (.f64 (+.f64 n m) 1/2) M)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M M))) (pow.f64 (cbrt.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) 2)) (cbrt.f64 (fma.f64 K (*.f64 (+.f64 n m) 1/2) M)))
(/.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) (pow.f64 M 3))) (pow.f64 (cbrt.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) 2)) (cbrt.f64 (+.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M (fma.f64 K (.f64 (+.f64 n m) 1/2) M)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2)) (.f64 (.f64 M M) (.f64 M M))) (/.f64 1 (fma.f64 K (.f64 (+.f64 n m) 1/2) M))) (+.f64 (.f64 M M) (pow.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) 3) (pow.f64 (.f64 M M) 3)) (/.f64 1 (fma.f64 K (.f64 (+.f64 n m) 1/2) M))) (+.f64 (.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2)) (+.f64 (.f64 (.f64 M M) (.f64 M M)) (.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (*.f64 M M)))))
(/.f64 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8)) (.f64 (pow.f64 M 3) (pow.f64 M 3))) (/.f64 1 (+.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M (fma.f64 K (.f64 (+.f64 n m) 1/2) M))))) (+.f64 (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) (pow.f64 M 3)))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) 3) (pow.f64 (pow.f64 M 3) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M (fma.f64 K (.f64 (+.f64 n m) 1/2) M))))) (+.f64 (.f64 (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8)) (+.f64 (.f64 (pow.f64 M 3) (pow.f64 M 3)) (.f64 (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) (pow.f64 M 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M M)) 1) (fma.f64 K (.f64 (+.f64 n m) 1/2) M))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M M)) (sqrt.f64 (fma.f64 K (.f64 (+.f64 n m) 1/2) M))) (sqrt.f64 (fma.f64 K (*.f64 (+.f64 n m) 1/2) M)))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M M)) (.f64 (cbrt.f64 (fma.f64 K (.f64 (+.f64 n m) 1/2) M)) (cbrt.f64 (fma.f64 K (.f64 (+.f64 n m) 1/2) M)))) (cbrt.f64 (fma.f64 K (*.f64 (+.f64 n m) 1/2) M)))
(/.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) (pow.f64 M 3)) 1) (+.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M (fma.f64 K (*.f64 (+.f64 n m) 1/2) M))))
(/.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) (pow.f64 M 3)) (sqrt.f64 (+.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M (fma.f64 K (.f64 (+.f64 n m) 1/2) M))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M (fma.f64 K (*.f64 (+.f64 n m) 1/2) M)))))
(/.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) (pow.f64 M 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M (fma.f64 K (.f64 (+.f64 n m) 1/2) M)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M (fma.f64 K (.f64 (+.f64 n m) 1/2) M)))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M (fma.f64 K (.f64 (+.f64 n m) 1/2) M)))))
(pow.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M) 1)
(pow.f64 (sqrt.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) 2)
(pow.f64 (cbrt.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) 3)
(pow.f64 (pow.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M) 2))
(log.f64 (exp.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))))
(cbrt.f64 (pow.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M) 3))
(expm1.f64 (log1p.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))
(exp.f64 (log.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M)) 1))
(log1p.f64 (expm1.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))
(fma.f64 K (*.f64 (+.f64 n m) 1/2) (neg.f64 M))
(fma.f64 (*.f64 (+.f64 n m) 1/2) K (neg.f64 M))
(fma.f64 1 (.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))) (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))) (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 (cos.f64 M) (.f64 -1/2 (.f64 K (*.f64 (neg.f64 (sin.f64 M)) (+.f64 n 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 (cos.f64 M) (fma.f64 -1/8 (.f64 (cos.f64 M) (.f64 (.f64 K K) (pow.f64 (+.f64 n m) 2))) (.f64 -1/2 (.f64 K (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m))))))
(+.f64 (fma.f64 -1/2 (.f64 (+.f64 n m) (.f64 K (neg.f64 (sin.f64 M)))) (cos.f64 M)) (.f64 (cos.f64 M) (.f64 (.f64 (.f64 K K) (pow.f64 (+.f64 n m) 2)) -1/8)))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (sin.f64 (neg.f64 M)) (pow.f64 (+.f64 n m) 3)))) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))) (.f64 -1/2 (.f64 K (*.f64 (sin.f64 (neg.f64 M)) (+.f64 n m)))))))
(+.f64 (cos.f64 M) (fma.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (neg.f64 (sin.f64 M)) (pow.f64 (+.f64 n m) 3))) (fma.f64 -1/8 (.f64 (cos.f64 M) (.f64 (.f64 K K) (pow.f64 (+.f64 n m) 2))) (.f64 -1/2 (.f64 K (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)))))))
(+.f64 (fma.f64 1/48 (.f64 (neg.f64 (sin.f64 M)) (pow.f64 (.f64 K (+.f64 n m)) 3)) (.f64 (cos.f64 M) (.f64 (.f64 (.f64 K K) (pow.f64 (+.f64 n m) 2)) -1/8))) (fma.f64 -1/2 (.f64 (+.f64 n m) (.f64 K (neg.f64 (sin.f64 M)))) (cos.f64 M)))
(+.f64 (fma.f64 -1/2 (.f64 (+.f64 n m) (.f64 K (neg.f64 (sin.f64 M)))) (cos.f64 M)) (fma.f64 1/48 (.f64 (neg.f64 (sin.f64 M)) (pow.f64 (.f64 K (+.f64 n m)) 3)) (.f64 (cos.f64 M) (.f64 (.f64 (.f64 K K) (pow.f64 (+.f64 n m) 2)) -1/8))))
(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 K m)) M))
(cos.f64 (fma.f64 1/2 (*.f64 K m) (neg.f64 M)))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)))
(fma.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))) (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))
(fma.f64 -1/2 (.f64 (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))))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (pow.f64 K 2)))) (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))
(fma.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))) (fma.f64 -1/8 (.f64 (.f64 (.f64 K K) (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))) (.f64 n n)) (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))
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(.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) 2) (.f64 M M))) (sqrt.f64 (fma.f64 (.f64 K 1/2) (+.f64 n m) M))) (sqrt.f64 (-.f64 (.f64 (+.f64 n m) (*.f64 K 1/2)) M)))
(/.f64 (.f64 (sqrt.f64 (-.f64 (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) (pow.f64 M 3))) (sqrt.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))) (sqrt.f64 (+.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M (fma.f64 K (.f64 (+.f64 n m) 1/2) M)))))
(/.f64 (sqrt.f64 (-.f64 (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) (pow.f64 M 3))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M (fma.f64 K (.f64 (+.f64 n m) 1/2) M)))) (sqrt.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) (pow.f64 M 3))) (sqrt.f64 (fma.f64 M (fma.f64 (.f64 K 1/2) (+.f64 n m) M) (pow.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) 2)))) (sqrt.f64 (-.f64 (.f64 (+.f64 n m) (*.f64 K 1/2)) M)))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M M))) (pow.f64 (cbrt.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) 2)) (cbrt.f64 (fma.f64 K (*.f64 (+.f64 n m) 1/2) M)))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M M))) (/.f64 (cbrt.f64 (fma.f64 K (.f64 (+.f64 n m) 1/2) M)) (pow.f64 (cbrt.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M)) 2) (/.f64 (cbrt.f64 (fma.f64 (.f64 K 1/2) (+.f64 n m) M)) (cbrt.f64 (-.f64 (pow.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) 2) (.f64 M M)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) (pow.f64 M 3))) (pow.f64 (cbrt.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) 2)) (cbrt.f64 (+.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M (fma.f64 K (.f64 (+.f64 n m) 1/2) M)))))
(/.f64 (cbrt.f64 (-.f64 (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) (pow.f64 M 3))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M (fma.f64 K (.f64 (+.f64 n m) 1/2) M)))) (pow.f64 (cbrt.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M)) 2)))
(.f64 (/.f64 (cbrt.f64 (-.f64 (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) (pow.f64 M 3))) (cbrt.f64 (fma.f64 M (fma.f64 (.f64 K 1/2) (+.f64 n m) M) (pow.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) 2)))) (pow.f64 (cbrt.f64 (-.f64 (.f64 (+.f64 n m) (*.f64 K 1/2)) M)) 2))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2)) (.f64 (.f64 M M) (.f64 M M))) (/.f64 1 (fma.f64 K (.f64 (+.f64 n m) 1/2) M))) (+.f64 (.f64 M M) (pow.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) 2)))
(/.f64 (-.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 4) (.f64 M (pow.f64 M 3))) (.f64 (fma.f64 K (.f64 (+.f64 n m) 1/2) M) (fma.f64 M M (pow.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) 2))))
(/.f64 (-.f64 (pow.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) 4) (pow.f64 M 4)) (.f64 (fma.f64 (.f64 K 1/2) (+.f64 n m) M) (fma.f64 M M (pow.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) 2))))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) 3) (pow.f64 (.f64 M M) 3)) (/.f64 1 (fma.f64 K (.f64 (+.f64 n m) 1/2) M))) (+.f64 (.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2)) (+.f64 (.f64 (.f64 M M) (.f64 M M)) (.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (*.f64 M M)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) 3) (pow.f64 M 6)) (.f64 (fma.f64 K (.f64 (+.f64 n m) 1/2) M) (+.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 4) (.f64 (.f64 M M) (fma.f64 M M (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) 2) 3) (pow.f64 M 6)) (.f64 (fma.f64 (.f64 K 1/2) (+.f64 n m) M) (fma.f64 (.f64 M M) (fma.f64 M M (pow.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) 2)) (pow.f64 (.f64 (+.f64 n m) (*.f64 K 1/2)) 4))))
(/.f64 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8)) (.f64 (pow.f64 M 3) (pow.f64 M 3))) (/.f64 1 (+.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M (fma.f64 K (.f64 (+.f64 n m) 1/2) M))))) (+.f64 (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) (pow.f64 M 3)))
(/.f64 (fma.f64 (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) (neg.f64 (pow.f64 M 6))) (.f64 (+.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M (fma.f64 K (.f64 (+.f64 n m) 1/2) M))) (+.f64 (pow.f64 M 3) (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8))))
(/.f64 (fma.f64 (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) (neg.f64 (pow.f64 M 6))) (.f64 (fma.f64 M (fma.f64 (.f64 K 1/2) (+.f64 n m) M) (pow.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) 2)) (+.f64 (pow.f64 M 3) (/.f64 (pow.f64 (*.f64 K (+.f64 n m)) 3) 8))))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) 3) (pow.f64 (pow.f64 M 3) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M (fma.f64 K (.f64 (+.f64 n m) 1/2) M))))) (+.f64 (.f64 (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8)) (+.f64 (.f64 (pow.f64 M 3) (pow.f64 M 3)) (.f64 (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) (pow.f64 M 3)))))
(/.f64 (-.f64 (/.f64 (pow.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 3) 512) (pow.f64 (pow.f64 M 3) 3)) (.f64 (+.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M (fma.f64 K (.f64 (+.f64 n m) 1/2) M))) (fma.f64 (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) (+.f64 (pow.f64 M 6) (.f64 (pow.f64 M 3) (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8))))))
(/.f64 (-.f64 (/.f64 (pow.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 3) 512) (pow.f64 (pow.f64 M 3) 3)) (.f64 (fma.f64 M (fma.f64 (.f64 K 1/2) (+.f64 n m) M) (pow.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) 2)) (fma.f64 (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) (fma.f64 (pow.f64 M 3) (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) (pow.f64 M 6)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M M)) 1) (fma.f64 K (.f64 (+.f64 n m) 1/2) M))
(-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)
(-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M)
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M M)) (sqrt.f64 (fma.f64 K (.f64 (+.f64 n m) 1/2) M))) (sqrt.f64 (fma.f64 K (*.f64 (+.f64 n m) 1/2) M)))
(-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)
(-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M)
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M M)) (.f64 (cbrt.f64 (fma.f64 K (.f64 (+.f64 n m) 1/2) M)) (cbrt.f64 (fma.f64 K (.f64 (+.f64 n m) 1/2) M)))) (cbrt.f64 (fma.f64 K (*.f64 (+.f64 n m) 1/2) M)))
(-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)
(-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M)
(/.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) (pow.f64 M 3)) 1) (+.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M (fma.f64 K (*.f64 (+.f64 n m) 1/2) M))))
(/.f64 (-.f64 (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) (pow.f64 M 3)) (+.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M (fma.f64 K (*.f64 (+.f64 n m) 1/2) M))))
(/.f64 (-.f64 (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) (pow.f64 M 3)) (fma.f64 M (fma.f64 (.f64 K 1/2) (+.f64 n m) M) (pow.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) 2)))
(/.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) (pow.f64 M 3)) (sqrt.f64 (+.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M (fma.f64 K (.f64 (+.f64 n m) 1/2) M))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M (fma.f64 K (*.f64 (+.f64 n m) 1/2) M)))))
(/.f64 (-.f64 (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) (pow.f64 M 3)) (+.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M (fma.f64 K (*.f64 (+.f64 n m) 1/2) M))))
(/.f64 (-.f64 (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) (pow.f64 M 3)) (fma.f64 M (fma.f64 (.f64 K 1/2) (+.f64 n m) M) (pow.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) 2)))
(/.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) (pow.f64 M 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M (fma.f64 K (.f64 (+.f64 n m) 1/2) M)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M (fma.f64 K (.f64 (+.f64 n m) 1/2) M)))))) (cbrt.f64 (+.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M (fma.f64 K (.f64 (+.f64 n m) 1/2) M)))))
(/.f64 (-.f64 (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) (pow.f64 M 3)) (+.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 M (fma.f64 K (*.f64 (+.f64 n m) 1/2) M))))
(/.f64 (-.f64 (/.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 8) (pow.f64 M 3)) (fma.f64 M (fma.f64 (.f64 K 1/2) (+.f64 n m) M) (pow.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) 2)))
(pow.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M) 1)
(-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)
(-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M)
(pow.f64 (sqrt.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) 2)
(-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)
(-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M)
(pow.f64 (cbrt.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) 3)
(-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)
(-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M)
(pow.f64 (pow.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M) 3) 1/3)
(-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)
(-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M)
(sqrt.f64 (pow.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M) 2))
(fabs.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M))
(log.f64 (exp.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))
(-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)
(-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))))
(-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)
(-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M)
(cbrt.f64 (pow.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M) 3))
(-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)
(-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M)
(expm1.f64 (log1p.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))
(-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)
(-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M)
(exp.f64 (log.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))
(-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)
(-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M)
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M)) 1))
(-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)
(-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M)
(log1p.f64 (expm1.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))
(-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)
(-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M)
(fma.f64 K (*.f64 (+.f64 n m) 1/2) (neg.f64 M))
(-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)
(-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M)
(fma.f64 (*.f64 (+.f64 n m) 1/2) K (neg.f64 M))
(-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)
(-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M)
(fma.f64 1 (.f64 K (.f64 (+.f64 n m) 1/2)) (neg.f64 M))
(-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)
(-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M)
(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))
(-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)
(-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) 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))) (neg.f64 M))
(-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)
(-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M)

eval347.0ms (2.1%)

Compiler: Compiled 31846 to 12875 computations (59.6% saved)

prune475.0ms (2.9%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	942	6	948
Fresh	1	12	13
Picked	1	0	1
Done	2	2	4
Total	946	20	966

Error

0.8b

Counts

966 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	60.2b	(fma.f64 (*.f64 -1/2 M) M 1)
	28.2b	(pow.f64 (exp.f64 m) (*.f64 -1/4 m))
	47.0b	(/.f64 (+.f64 1 (+.f64 1 (-.f64 (.f64 -1/2 (.f64 M M)) 1))) (exp.f64 l))
	42.1b	(/.f64 (.f64 -1/2 (.f64 M M)) (exp.f64 l))
	40.7b	(/.f64 1 (exp.f64 l))
	60.1b	(.f64 (+.f64 (.f64 -1/4 (*.f64 m m)) 1) (cos.f64 M))
	14.4b	(.f64 (log.f64 (exp.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))) (exp.f64 (-.f64 m (+.f64 n (+.f64 l (.f64 M M))))))
	14.3b	(.f64 (fabs.f64 (cos.f64 (-.f64 (.f64 K (/.f64 (+.f64 n m) 2)) M))) (exp.f64 (-.f64 m (+.f64 n (+.f64 l (*.f64 M M))))))
	14.3b	(.f64 (cos.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)) 3)) (exp.f64 (-.f64 m (+.f64 n (+.f64 l (.f64 M M))))))
	41.3b	(.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K 1/2))) 3) (-.f64 m n)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
	36.1b	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (/.f64 2 K)) (-.f64 m n)) M)) (exp.f64 (-.f64 m (+.f64 n (+.f64 l (*.f64 M M))))))
	48.4b	(.f64 (cos.f64 (-.f64 (/.f64 (exp.f64 (log.f64 (.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K 1/2)))) (-.f64 m n)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
	21.9b	(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 (-.f64 m (+.f64 n l))))
	41.4b	(.f64 (cos.f64 (-.f64 (.f64 (/.f64 1 (-.f64 m n)) (.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K 1/2))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (*.f64 M M))))
	59.7b	(*.f64 (cos.f64 M) (-.f64 1 l))
	25.8b	(.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M))))
✓	29.0b	(.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (*.f64 n n))))
	49.9b	(*.f64 (cos.f64 M) (exp.f64 l))
	40.7b	(exp.f64 (neg.f64 l))
✓	59.5b	(cos.f64 M)

Compiler

Compiled 393 to 277 computations (29.5% saved)

regimes182.0ms (1.1%)

Counts

48 → 1

Calls

Call 1

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

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

Calls

6 calls:

25.0ms	K
23.0ms	l
22.0ms	n
22.0ms	M
22.0ms	m

Results

Error	Segments	Branch
0.9b	1	`K`
0.9b	1	`m`
0.9b	1	`n`
0.9b	1	`M`
0.9b	1	`l`
0.9b	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 1061 to 475 computations (55.2% saved)

regimes297.0ms (1.8%)

Counts

29 → 3

Calls

Call 1

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

Outputs

(pow.f64 (exp.f64 m) (*.f64 -1/4 m))

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

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

Calls

5 calls:

93.0ms	l
65.0ms	M
50.0ms	m
39.0ms	K
38.0ms	n

Results

Error	Segments	Branch
7.9b	3	`K`
4.3b	3	`m`
5.1b	3	`n`
7.3b	3	`M`
5.6b	4	`l`

Compiler

Compiled 469 to 211 computations (55% saved)

bsearch78.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	1.9927371295741724e-125	1.7034643237959495e-121
50.0ms	-479.1838381397128	-5.379078759066638e-8

Results

67.0ms	282×	body	256	valid
2.0ms	4×	body	1024	valid
1.0ms	1×	body	2048	valid
1.0ms	4×	body	256	infinite
1.0ms	1×	body	1024	infinite
0.0ms	1×	body	512	valid
0.0ms	1×	body	512	infinite

Compiler

Compiled 768 to 550 computations (28.4% saved)

regimes209.0ms (1.3%)

Counts

18 → 3

Calls

Call 1

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

Outputs

(pow.f64 (exp.f64 m) (*.f64 -1/4 m))

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

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

Calls

5 calls:

46.0ms	M
35.0ms	l
34.0ms	m
32.0ms	n
29.0ms	K

Results

Error	Segments	Branch
7.9b	3	`K`
4.4b	3	`m`
5.1b	3	`n`
6.3b	5	`M`
5.6b	4	`l`

Compiler

Compiled 196 to 113 computations (42.3% saved)

bsearch68.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
33.0ms	1.9927371295741724e-125	1.7034643237959495e-121
35.0ms	-479.1838381397128	-5.379078759066638e-8

Results

58.0ms	282×	body	256	valid
2.0ms	4×	body	1024	valid
1.0ms	2×	body	1024	infinite
1.0ms	1×	body	2048	valid
0.0ms	2×	body	256	infinite
0.0ms	1×	body	512	valid

Compiler

Compiled 768 to 550 computations (28.4% saved)

regimes164.0ms (1%)

Counts

17 → 5

Calls

Call 1

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

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

Calls

5 calls:

41.0ms	M
33.0ms	l
33.0ms	m
26.0ms	K
26.0ms	n

Results

Error	Segments	Branch
13.8b	3	`K`
7.6b	3	`m`
8.9b	3	`n`
6.3b	5	`M`
8.7b	4	`l`

Compiler

Compiled 175 to 103 computations (41.1% saved)

bsearch110.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
15.0ms	9.721731869799978	18.715090060529167
41.0ms	7.040270044741073e-213	1.3171109036756993e-192
22.0ms	-3.4787531063778624e-243	-4.522010362650639e-244
32.0ms	-3.268216790680333e-13	-3.6333733116965466e-22

Results

95.0ms	472×	body	256	valid
3.0ms	5×	body	1024	valid
2.0ms	13×	body	256	infinite
2.0ms	2×	body	2048	valid
0.0ms	1×	body	512	valid
0.0ms	1×	body	512	infinite

Compiler

Compiled 1152 to 840 computations (27.1% saved)

regimes157.0ms (0.9%)

Counts

16 → 5

Calls

Call 1

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

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

Calls

5 calls:

42.0ms	M
32.0ms	l
30.0ms	m
26.0ms	n
23.0ms	K

Results

Error	Segments	Branch
13.8b	3	`K`
7.6b	3	`m`
8.9b	3	`n`
6.3b	5	`M`
8.7b	4	`l`

Compiler

Compiled 158 to 97 computations (38.6% saved)

bsearch112.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
20.0ms	9.721731869799978	18.715090060529167
39.0ms	7.040270044741073e-213	1.3171109036756993e-192
21.0ms	-3.4787531063778624e-243	-4.522010362650639e-244
31.0ms	-3.268216790680333e-13	-3.6333733116965466e-22

Results

94.0ms	466×	body	256	valid
3.0ms	6×	body	1024	valid
3.0ms	16×	body	256	infinite
2.0ms	6×	body	512	valid
2.0ms	2×	body	2048	valid
0.0ms	1×	body	512	infinite

Compiler

Compiled 1152 to 840 computations (27.1% saved)

regimes570.0ms (3.4%)

Counts

15 → 5

Calls

Call 1

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

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

Calls

5 calls:

317.0ms	K
96.0ms	n
81.0ms	M
41.0ms	m
31.0ms	l

Results

Error	Segments	Branch
18.3b	12	`K`
7.6b	3	`m`
8.9b	3	`n`
6.7b	5	`M`
11.0b	4	`l`

Compiler

Compiled 141 to 87 computations (38.3% saved)

bsearch130.0ms (0.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
50.0ms	18.715090060529167	203414.6076379667
6.0ms	2.31914732660139e-295	7.702910589874669e-294
52.0ms	-1.5887424772572958e-222	-6.846324520776296e-225
22.0ms	-906268672081201.1	-27304839262067.23

Results

121.0ms	381×	body	256	valid
2.0ms	9×	body	256	infinite
1.0ms	2×	body	512	valid
1.0ms	1×	body	1024	valid
0.0ms	1×	body	512	infinite

Compiler

Compiled 717 to 571 computations (20.4% saved)

regimes318.0ms (1.9%)

Counts

14 → 5

Calls

Call 1

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

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

Calls

5 calls:

133.0ms	K
71.0ms	M
59.0ms	l
29.0ms	m
22.0ms	n

Results

Error	Segments	Branch
18.3b	12	`K`
7.6b	3	`m`
8.9b	3	`n`
6.7b	5	`M`
11.0b	4	`l`

Compiler

Compiled 132 to 82 computations (37.9% saved)

bsearch104.0ms (0.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
27.0ms	18.715090060529167	203414.6076379667
3.0ms	2.31914732660139e-295	7.702910589874669e-294
27.0ms	-1.5887424772572958e-222	-6.846324520776296e-225
46.0ms	-906268672081201.1	-27304839262067.23

Results

96.0ms	366×	body	256	valid
1.0ms	8×	body	256	infinite
1.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid
0.0ms	1×	body	512	infinite

Compiler

Compiled 648 to 521 computations (19.6% saved)

regimes250.0ms (1.5%)

Counts

13 → 5

Calls

Call 1

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

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

Calls

5 calls:

85.0ms	K
83.0ms	M
29.0ms	n
28.0ms	l
22.0ms	m

Results

Error	Segments	Branch
20.7b	6	`K`
8.6b	3	`m`
19.3b	3	`n`
7.0b	5	`M`
11.3b	4	`l`

Compiler

Compiled 123 to 77 computations (37.4% saved)

bsearch110.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
32.0ms	18.715090060529167	203414.6076379667
31.0ms	2.31914732660139e-295	7.702910589874669e-294
23.0ms	-3.4787531063778624e-243	-4.522010362650639e-244
23.0ms	-906268672081201.1	-27304839262067.23

Results

97.0ms	443×	body	256	valid
2.0ms	12×	body	256	infinite
2.0ms	3×	body	1024	valid
1.0ms	3×	body	512	infinite
1.0ms	1×	body	2048	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 770 to 618 computations (19.7% saved)

regimes132.0ms (0.8%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

5 calls:

39.0ms	M
35.0ms	n
26.0ms	m
22.0ms	l
8.0ms	K

Results

Error	Segments	Branch
28.2b	1	`K`
17.9b	4	`m`
25.3b	5	`n`
25.4b	5	`M`
14.7b	3	`l`

Compiler

Compiled 115 to 73 computations (36.5% saved)

bsearch63.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	7.993252528121577e-13	3.228380574878689e-10
36.0ms	-2066431032.2566729	-3.1070210843802527e-7

Results

56.0ms	287×	body	256	valid
1.0ms	6×	body	256	infinite
1.0ms	1×	body	1024	infinite
0.0ms	1×	body	512	valid
0.0ms	1×	body	512	infinite

Compiler

Compiled 464 to 380 computations (18.1% saved)

regimes168.0ms (1%)

Counts

11 → 3

Calls

Call 1

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

Outputs
(*.f64 (cos.f64 M) (exp.f64 l))
(/.f64 (.f64 -1/2 (.f64 M M)) (exp.f64 l))
(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))

Calls

5 calls:

43.0ms	K
37.0ms	n
31.0ms	M
30.0ms	l
24.0ms	m

Results

Error	Segments	Branch
35.8b	7	`K`
37.4b	4	`m`
36.0b	6	`n`
33.3b	4	`M`
25.5b	3	`l`

Compiler

Compiled 109 to 69 computations (36.7% saved)

bsearch41.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	3.686991488420662e-53	3.2035013209678166e-52
20.0ms	-5.0070547311559944e-89	-8.46471874143138e-90

Results

36.0ms	189×	body	256	valid
1.0ms	2×	body	512	valid
1.0ms	1×	body	1024	valid

Compiler

Compiled 348 to 276 computations (20.7% saved)

regimes149.0ms (0.9%)

Counts

10 → 3

Calls

Call 1

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

Outputs
(*.f64 (cos.f64 M) (exp.f64 l))
(/.f64 (.f64 -1/2 (.f64 M M)) (exp.f64 l))
(exp.f64 (neg.f64 l))

Calls

5 calls:

40.0ms	K
34.0ms	n
28.0ms	M
22.0ms	m
22.0ms	l

Results

Error	Segments	Branch
35.8b	7	`K`
37.4b	4	`m`
36.0b	6	`n`
33.3b	4	`M`
25.5b	3	`l`

Compiler

Compiled 103 to 68 computations (34% saved)

bsearch42.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	3.686991488420662e-53	3.2035013209678166e-52
21.0ms	-5.0070547311559944e-89	-8.46471874143138e-90

Results

37.0ms	187×	body	256	valid
2.0ms	4×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 330 to 264 computations (20% saved)

regimes142.0ms (0.9%)

Counts

9 → 3

Calls

Call 1

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

Outputs
(exp.f64 (neg.f64 l))
(/.f64 (.f64 -1/2 (.f64 M M)) (exp.f64 l))
(exp.f64 (neg.f64 l))

Calls

5 calls:

75.0ms	K
24.0ms	M
16.0ms	n
13.0ms	l
12.0ms	m

Results

Error	Segments	Branch
37.4b	4	`K`
38.4b	2	`m`
38.8b	2	`n`
35.0b	3	`M`
36.1b	2	`l`

Compiler

Compiled 98 to 67 computations (31.6% saved)

bsearch76.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
52.0ms	0.010794261998473421	9.721731869799978
24.0ms	-1.8629520286305397e-117	-8.466765743477921e-119

Results

68.0ms	235×	body	256	valid
2.0ms	3×	body	1024	valid
1.0ms	3×	body	512	infinite
1.0ms	1×	body	2048	valid
0.0ms	2×	body	256	infinite
0.0ms	1×	body	512	valid

Compiler

Compiled 387 to 315 computations (18.6% saved)

regimes24.0ms (0.1%)

Accuracy

Total -19.8b remaining (-48.8%)

Threshold costs -19.8b (-48.8%)

Counts

5 → 1

Calls

Call 1

Inputs
(cos.f64 M)
(exp.f64 (neg.f64 l))
(/.f64 1 (exp.f64 l))
(*.f64 (cos.f64 M) (-.f64 1 l))
(fma.f64 (*.f64 -1/2 M) M 1)

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

Calls

5 calls:

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

Results

Error	Segments	Branch
40.7b	1	`K`
40.7b	1	`m`
40.7b	1	`n`
40.7b	1	`M`
40.7b	1	`l`

Compiler

Compiled 56 to 43 computations (23.2% saved)

simplify38.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

50×	`*-commutative`
44×	`+-commutative`
34×	`sub-neg`
18×	`neg-mul-1`
18×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	143	1460
1	189	1460
2	218	1460
3	241	1460
4	252	1460
5	254	1460

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(if (<=.f64 m -54) (pow.f64 (exp.f64 m) (.f64 -1/4 m)) (if (<=.f64 m 8559252817305067/93035356709837681990313447409664580397266094167976711716030745495121828878514934185752454491361736391777602765602070775492429008462675968) (.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 (-.f64 m (+.f64 n (+.f64 l (.f64 M M)))))) (.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (.f64 n n))))))
(if (<=.f64 m -54) (pow.f64 (exp.f64 m) (.f64 -1/4 m)) (if (<=.f64 m 7908005320336203/46517678354918840995156723704832290198633047083988355858015372747560914439257467092876227245680868195888801382801035387746214504231337984) (.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (-.f64 m (+.f64 n (+.f64 l (.f64 M M)))))) (.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (*.f64 n n))))))
(if (<=.f64 M -6338253001141147/19807040628566084398385987584) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))) (if (<=.f64 M -4228233477982807/3843848616348006517745232740100739512991620911897345810779084488070467360061046634469074021673129666994459657822569196861021537621146748550021867984199631441940340184366542119596353715143242451107829641173966144591017133590878523965063482310266674005030207488) (.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 (-.f64 m (+.f64 n l)))) (if (<=.f64 M 3208079857092535/22592111669665739975592870737637022906810831294812620197467215446901550642889587999246991367961839975767182923986271972624986374927027127581012424707895568851446368731861728964581056579941628221790058875830676242925879296) (/.f64 (.f64 -1/2 (.f64 M M)) (exp.f64 l)) (if (<=.f64 M 18) (.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (-.f64 m (+.f64 n l)))) (.f64 (cos.f64 M) (exp.f64 (*.f64 M (neg.f64 M))))))))
(if (<=.f64 M -6338253001141147/19807040628566084398385987584) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))) (if (<=.f64 M -5381388062887209/1921924308174003258872616370050369756495810455948672905389542244035233680030523317234537010836564833497229828911284598430510768810573374275010933992099815720970170092183271059798176857571621225553914820586983072295508566795439261982531741155133337002515103744) (.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (-.f64 m (+.f64 n l)))) (if (<=.f64 M 7561445358475787/657516987693546688405123735360016083193792475352896732437285112883591519287135102764208317034698556403372871107022277214127429031272975482890976846331485106244402958891055574773957969735540339658911656466972672) (/.f64 (.f64 -1/2 (.f64 M M)) (exp.f64 l)) (if (<=.f64 M 18) (.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (-.f64 m (+.f64 n l)))) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M))))))))
(if (<=.f64 M -27500000000000) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))) (if (<=.f64 M -4558212991226463/3255866422304616344765552632188114158762089024568314531443485259650408807528140659922574316831813618526821245406949824436469141432675471230646169947427163108444901161872077421124549944292877941762189949285100879873872435565174053364826112) (.f64 (cos.f64 M) (exp.f64 (.f64 m (.f64 m -1/4)))) (if (<=.f64 M 4602094425247529/11505236063118821809467553221049758295155052665230762065499525194094891251552061640493342548634082305351687288311769174890162545204122663839542235560926343960177145179191391057683342054479750023644997308933440369205641643669917624414330439074612943178454432683813523087356623740062701843509462805095950344781824) (.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (.f64 n n)))) (if (<=.f64 M 27) (pow.f64 (exp.f64 m) (.f64 -1/4 m)) (.f64 (cos.f64 M) (exp.f64 (*.f64 M (neg.f64 M))))))))
(if (<=.f64 M -27500000000000) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))) (if (<=.f64 M -7918267139044827/208375451027495446064995368460039306160773697572372130012383056617626163681801002235044756277236071585716559706044788763934025051691230158761354876635338438940473674359812954951971196434744188272780156754246456311927835876171139415348871168) (pow.f64 (exp.f64 m) (.f64 -1/4 m)) (if (<=.f64 M 4602094425247529/11505236063118821809467553221049758295155052665230762065499525194094891251552061640493342548634082305351687288311769174890162545204122663839542235560926343960177145179191391057683342054479750023644997308933440369205641643669917624414330439074612943178454432683813523087356623740062701843509462805095950344781824) (.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (.f64 n n)))) (if (<=.f64 M 27) (pow.f64 (exp.f64 m) (.f64 -1/4 m)) (.f64 (cos.f64 M) (exp.f64 (*.f64 M (neg.f64 M))))))))
(if (<=.f64 M -27500000000000) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))) (if (<=.f64 M -8917728789927375/7687697232696013035490465480201479025983241823794691621558168976140934720122093268938148043346259333988919315645138393722043075242293497100043735968399262883880680368733084239192707430286484902215659282347932289182034267181757047930126964620533348010060414976) (pow.f64 (exp.f64 m) (.f64 -1/4 m)) (if (<=.f64 M 4602094425247529/719077253944926363091722076315609893447190791576922629093720324630930703222003852530833909289630144084480455519485573430635159075257666489971389722557896497511071573699461941105208878404984376477812331808340023075352602729369851525895652442163308948653402042738345192959788983753918865219341425318496896548864) (/.f64 (.f64 -1/2 (.f64 M M)) (exp.f64 l)) (if (<=.f64 M 27) (pow.f64 (exp.f64 m) (.f64 -1/4 m)) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M))))))))
(if (<=.f64 l -720) (.f64 (cos.f64 M) (exp.f64 l)) (if (<=.f64 l 6189700196426901/19342813113834066795298816) (pow.f64 (exp.f64 m) (.f64 -1/4 m)) (*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))))
(if (<=.f64 l -6880495847970215/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) (.f64 (cos.f64 M) (exp.f64 l)) (if (<=.f64 l 1725436586697641/26959946667150639794667015087019630673637144422540572481103610249216) (/.f64 (.f64 -1/2 (.f64 M M)) (exp.f64 l)) (.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))))
(if (<=.f64 l -5017028222478281/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) (.f64 (cos.f64 M) (exp.f64 l)) (if (<=.f64 l 1684996666696915/6739986666787659948666753771754907668409286105635143120275902562304) (/.f64 (.f64 -1/2 (*.f64 M M)) (exp.f64 l)) (exp.f64 (neg.f64 l))))
(if (<=.f64 M -1998806491812919/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208) (exp.f64 (neg.f64 l)) (if (<=.f64 M 1224979098644775/72057594037927936) (/.f64 (.f64 -1/2 (.f64 M M)) (exp.f64 l)) (exp.f64 (neg.f64 l))))
(exp.f64 (neg.f64 l))
(cos.f64 M)

Outputs
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(if (<=.f64 m -54) (pow.f64 (exp.f64 m) (.f64 -1/4 m)) (if (<=.f64 m 8559252817305067/93035356709837681990313447409664580397266094167976711716030745495121828878514934185752454491361736391777602765602070775492429008462675968) (.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 (-.f64 m (+.f64 n (+.f64 l (.f64 M M)))))) (.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (.f64 n n))))))
(if (<=.f64 m -54) (pow.f64 (exp.f64 m) (.f64 m -1/4)) (if (<=.f64 m 8559252817305067/93035356709837681990313447409664580397266094167976711716030745495121828878514934185752454491361736391777602765602070775492429008462675968) (.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 (-.f64 m (+.f64 n (+.f64 l (.f64 M M)))))) (.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (.f64 n n))))))
(if (<=.f64 m -54) (pow.f64 (exp.f64 m) (.f64 -1/4 m)) (if (<=.f64 m 7908005320336203/46517678354918840995156723704832290198633047083988355858015372747560914439257467092876227245680868195888801382801035387746214504231337984) (.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (-.f64 m (+.f64 n (+.f64 l (.f64 M M)))))) (.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (*.f64 n n))))))
(if (<=.f64 m -54) (pow.f64 (exp.f64 m) (.f64 m -1/4)) (if (<=.f64 m 7908005320336203/46517678354918840995156723704832290198633047083988355858015372747560914439257467092876227245680868195888801382801035387746214504231337984) (.f64 (exp.f64 (-.f64 m (+.f64 n (+.f64 l (.f64 M M))))) (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M))) (.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (*.f64 n n))))))
(if (<=.f64 M -6338253001141147/19807040628566084398385987584) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))) (if (<=.f64 M -4228233477982807/3843848616348006517745232740100739512991620911897345810779084488070467360061046634469074021673129666994459657822569196861021537621146748550021867984199631441940340184366542119596353715143242451107829641173966144591017133590878523965063482310266674005030207488) (.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 (-.f64 m (+.f64 n l)))) (if (<=.f64 M 3208079857092535/22592111669665739975592870737637022906810831294812620197467215446901550642889587999246991367961839975767182923986271972624986374927027127581012424707895568851446368731861728964581056579941628221790058875830676242925879296) (/.f64 (.f64 -1/2 (.f64 M M)) (exp.f64 l)) (if (<=.f64 M 18) (.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (-.f64 m (+.f64 n l)))) (.f64 (cos.f64 M) (exp.f64 (*.f64 M (neg.f64 M))))))))
(if (<=.f64 M -6338253001141147/19807040628566084398385987584) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))) (if (<=.f64 M -4228233477982807/3843848616348006517745232740100739512991620911897345810779084488070467360061046634469074021673129666994459657822569196861021537621146748550021867984199631441940340184366542119596353715143242451107829641173966144591017133590878523965063482310266674005030207488) (.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 (-.f64 m (+.f64 n l)))) (if (<=.f64 M 3208079857092535/22592111669665739975592870737637022906810831294812620197467215446901550642889587999246991367961839975767182923986271972624986374927027127581012424707895568851446368731861728964581056579941628221790058875830676242925879296) (/.f64 (.f64 (.f64 M M) -1/2) (exp.f64 l)) (if (<=.f64 M 18) (.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (-.f64 m (+.f64 n l)))) (.f64 (cos.f64 M) (exp.f64 (*.f64 M (neg.f64 M))))))))
(if (<=.f64 M -6338253001141147/19807040628566084398385987584) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))) (if (<=.f64 M -5381388062887209/1921924308174003258872616370050369756495810455948672905389542244035233680030523317234537010836564833497229828911284598430510768810573374275010933992099815720970170092183271059798176857571621225553914820586983072295508566795439261982531741155133337002515103744) (.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (-.f64 m (+.f64 n l)))) (if (<=.f64 M 7561445358475787/657516987693546688405123735360016083193792475352896732437285112883591519287135102764208317034698556403372871107022277214127429031272975482890976846331485106244402958891055574773957969735540339658911656466972672) (/.f64 (.f64 -1/2 (.f64 M M)) (exp.f64 l)) (if (<=.f64 M 18) (.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (-.f64 m (+.f64 n l)))) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M))))))))
(if (<=.f64 M -6338253001141147/19807040628566084398385987584) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))) (if (<=.f64 M -5381388062887209/1921924308174003258872616370050369756495810455948672905389542244035233680030523317234537010836564833497229828911284598430510768810573374275010933992099815720970170092183271059798176857571621225553914820586983072295508566795439261982531741155133337002515103744) (.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (-.f64 m (+.f64 n l)))) (if (<=.f64 M 7561445358475787/657516987693546688405123735360016083193792475352896732437285112883591519287135102764208317034698556403372871107022277214127429031272975482890976846331485106244402958891055574773957969735540339658911656466972672) (/.f64 (.f64 (.f64 M M) -1/2) (exp.f64 l)) (if (<=.f64 M 18) (.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (-.f64 m (+.f64 n l)))) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M))))))))
(if (<=.f64 M -27500000000000) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))) (if (<=.f64 M -4558212991226463/3255866422304616344765552632188114158762089024568314531443485259650408807528140659922574316831813618526821245406949824436469141432675471230646169947427163108444901161872077421124549944292877941762189949285100879873872435565174053364826112) (.f64 (cos.f64 M) (exp.f64 (.f64 m (.f64 m -1/4)))) (if (<=.f64 M 4602094425247529/11505236063118821809467553221049758295155052665230762065499525194094891251552061640493342548634082305351687288311769174890162545204122663839542235560926343960177145179191391057683342054479750023644997308933440369205641643669917624414330439074612943178454432683813523087356623740062701843509462805095950344781824) (.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (.f64 n n)))) (if (<=.f64 M 27) (pow.f64 (exp.f64 m) (.f64 -1/4 m)) (.f64 (cos.f64 M) (exp.f64 (*.f64 M (neg.f64 M))))))))
(if (<=.f64 M -27500000000000) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))) (if (<=.f64 M -4558212991226463/3255866422304616344765552632188114158762089024568314531443485259650408807528140659922574316831813618526821245406949824436469141432675471230646169947427163108444901161872077421124549944292877941762189949285100879873872435565174053364826112) (.f64 (cos.f64 M) (exp.f64 (.f64 m (.f64 m -1/4)))) (if (<=.f64 M 4602094425247529/11505236063118821809467553221049758295155052665230762065499525194094891251552061640493342548634082305351687288311769174890162545204122663839542235560926343960177145179191391057683342054479750023644997308933440369205641643669917624414330439074612943178454432683813523087356623740062701843509462805095950344781824) (.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (.f64 n n)))) (if (<=.f64 M 27) (pow.f64 (exp.f64 m) (.f64 m -1/4)) (.f64 (cos.f64 M) (exp.f64 (*.f64 M (neg.f64 M))))))))
(if (<=.f64 M -27500000000000) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))) (if (<=.f64 M -7918267139044827/208375451027495446064995368460039306160773697572372130012383056617626163681801002235044756277236071585716559706044788763934025051691230158761354876635338438940473674359812954951971196434744188272780156754246456311927835876171139415348871168) (pow.f64 (exp.f64 m) (.f64 -1/4 m)) (if (<=.f64 M 4602094425247529/11505236063118821809467553221049758295155052665230762065499525194094891251552061640493342548634082305351687288311769174890162545204122663839542235560926343960177145179191391057683342054479750023644997308933440369205641643669917624414330439074612943178454432683813523087356623740062701843509462805095950344781824) (.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (.f64 n n)))) (if (<=.f64 M 27) (pow.f64 (exp.f64 m) (.f64 -1/4 m)) (.f64 (cos.f64 M) (exp.f64 (*.f64 M (neg.f64 M))))))))
(if (<=.f64 M -27500000000000) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))) (if (<=.f64 M -7918267139044827/208375451027495446064995368460039306160773697572372130012383056617626163681801002235044756277236071585716559706044788763934025051691230158761354876635338438940473674359812954951971196434744188272780156754246456311927835876171139415348871168) (pow.f64 (exp.f64 m) (.f64 m -1/4)) (if (<=.f64 M 4602094425247529/11505236063118821809467553221049758295155052665230762065499525194094891251552061640493342548634082305351687288311769174890162545204122663839542235560926343960177145179191391057683342054479750023644997308933440369205641643669917624414330439074612943178454432683813523087356623740062701843509462805095950344781824) (.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (.f64 n n)))) (if (<=.f64 M 27) (pow.f64 (exp.f64 m) (.f64 m -1/4)) (.f64 (cos.f64 M) (exp.f64 (*.f64 M (neg.f64 M))))))))
(if (<=.f64 M -27500000000000) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))) (if (<=.f64 M -8917728789927375/7687697232696013035490465480201479025983241823794691621558168976140934720122093268938148043346259333988919315645138393722043075242293497100043735968399262883880680368733084239192707430286484902215659282347932289182034267181757047930126964620533348010060414976) (pow.f64 (exp.f64 m) (.f64 -1/4 m)) (if (<=.f64 M 4602094425247529/719077253944926363091722076315609893447190791576922629093720324630930703222003852530833909289630144084480455519485573430635159075257666489971389722557896497511071573699461941105208878404984376477812331808340023075352602729369851525895652442163308948653402042738345192959788983753918865219341425318496896548864) (/.f64 (.f64 -1/2 (.f64 M M)) (exp.f64 l)) (if (<=.f64 M 27) (pow.f64 (exp.f64 m) (.f64 -1/4 m)) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M))))))))
(if (<=.f64 M -27500000000000) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))) (if (<=.f64 M -8917728789927375/7687697232696013035490465480201479025983241823794691621558168976140934720122093268938148043346259333988919315645138393722043075242293497100043735968399262883880680368733084239192707430286484902215659282347932289182034267181757047930126964620533348010060414976) (pow.f64 (exp.f64 m) (.f64 m -1/4)) (if (<=.f64 M 4602094425247529/719077253944926363091722076315609893447190791576922629093720324630930703222003852530833909289630144084480455519485573430635159075257666489971389722557896497511071573699461941105208878404984376477812331808340023075352602729369851525895652442163308948653402042738345192959788983753918865219341425318496896548864) (/.f64 (.f64 (.f64 M M) -1/2) (exp.f64 l)) (if (<=.f64 M 27) (pow.f64 (exp.f64 m) (.f64 m -1/4)) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M))))))))
(if (<=.f64 l -720) (.f64 (cos.f64 M) (exp.f64 l)) (if (<=.f64 l 6189700196426901/19342813113834066795298816) (pow.f64 (exp.f64 m) (.f64 -1/4 m)) (*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))))
(if (<=.f64 l -720) (.f64 (cos.f64 M) (exp.f64 l)) (if (<=.f64 l 6189700196426901/19342813113834066795298816) (pow.f64 (exp.f64 m) (.f64 m -1/4)) (*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))))
(if (<=.f64 l -6880495847970215/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) (.f64 (cos.f64 M) (exp.f64 l)) (if (<=.f64 l 1725436586697641/26959946667150639794667015087019630673637144422540572481103610249216) (/.f64 (.f64 -1/2 (.f64 M M)) (exp.f64 l)) (.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))))
(if (<=.f64 l -6880495847970215/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) (.f64 (cos.f64 M) (exp.f64 l)) (if (<=.f64 l 1725436586697641/26959946667150639794667015087019630673637144422540572481103610249216) (/.f64 (.f64 (.f64 M M) -1/2) (exp.f64 l)) (.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))))
(if (<=.f64 l -5017028222478281/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) (.f64 (cos.f64 M) (exp.f64 l)) (if (<=.f64 l 1684996666696915/6739986666787659948666753771754907668409286105635143120275902562304) (/.f64 (.f64 -1/2 (*.f64 M M)) (exp.f64 l)) (exp.f64 (neg.f64 l))))
(if (<=.f64 l -5017028222478281/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664) (.f64 (cos.f64 M) (exp.f64 l)) (if (<=.f64 l 1684996666696915/6739986666787659948666753771754907668409286105635143120275902562304) (/.f64 (.f64 (*.f64 M M) -1/2) (exp.f64 l)) (exp.f64 (neg.f64 l))))
(if (<=.f64 M -1998806491812919/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208) (exp.f64 (neg.f64 l)) (if (<=.f64 M 1224979098644775/72057594037927936) (/.f64 (.f64 -1/2 (.f64 M M)) (exp.f64 l)) (exp.f64 (neg.f64 l))))
(if (or (<=.f64 M -1998806491812919/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208) (not (<=.f64 M 1224979098644775/72057594037927936))) (exp.f64 (neg.f64 l)) (/.f64 (.f64 (.f64 M M) -1/2) (exp.f64 l)))
(exp.f64 (neg.f64 l))
(cos.f64 M)

Compiler

Compiled 588 to 368 computations (37.4% saved)

soundness187.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

1082×	`associate-r`
1066×	`associate-/l*`
964×	`associate-r`
936×	`associate-+l+`
896×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	89
1	60	89
2	145	85
3	443	85
4	1715	85
0	842	23230
1	2349	23172

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 339 to 182 computations (46.3% saved)

end192.0ms (1.2%)

Remove: (sort m n)
Compiler: Compiled 573 to 269 computations (53.1% saved)