Details

analyze1.0s (6.5%)

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)

sample2.6s (16.3%)

Results

2.3s	8117×	body	256	valid
96.0ms	358×	body	256	infinite
92.0ms	59×	body	1024	valid
54.0ms	96×	body	1024	infinite
36.0ms	14×	body	2048	infinite
32.0ms	90×	body	512	infinite
30.0ms	79×	body	512	valid
1.0ms	1×	body	2048	valid

Bogosity

preprocess52.0ms (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)

simplify43.0ms (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

1 alts after pruning (1 fresh and 0 done)

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

Error

23.65%

Counts

7 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	23.65%	(.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 33 to 22 computations (33.3% saved)

localize51.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(-.f64 (fabs.f64 (-.f64 m n)) l)
✓	0.02%	(*.f64 (+.f64 m n) (/.f64 K 2))
✓	0.02%	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
✓	52.16%	(cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M))

Compiler

Compiled 138 to 60 computations (56.5% saved)

series12.0ms (0.1%)

Counts

4 → 140

Calls

39 calls:

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

rewrite156.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

506×	`associate-+l+`
504×	`add-sqr-sqrt`
494×	`*-un-lft-identity`
492×	`pow1`
470×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	90
1	469	86
2	6784	86

Stop Event

1×	node limit

Counts

4 → 172

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

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

simplify184.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

904×	`associate--r+`
808×	`associate-r`
784×	`fma-def`
650×	`associate-l`
564×	`associate--l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	562	11394
1	1615	10952
2	6610	10938

Stop Event

1×	node limit

Counts

312 → 344

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

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

eval162.0ms (1%)

Compiler: Compiled 13259 to 6393 computations (51.8% saved)

prune159.0ms (1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	332	12	344
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	333	12	345

Error

2.33%

Counts

345 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	23.65%	(.f64 (pow.f64 (cbrt.f64 (cos.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))))
▶	23.86%	(.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	23.65%	(.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))))
	23.69%	(.f64 (fabs.f64 (cos.f64 (fma.f64 1/2 (.f64 K (+.f64 n m)) (neg.f64 M)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	23.64%	(.f64 (expm1.f64 (log1p.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))))
	23.7%	(.f64 (cos.f64 (-.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))) 3) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
▶	53.55%	(.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))))
▶	54.12%	(.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))))
	23.66%	(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (-.f64 (neg.f64 l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	16.18%	(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
▶	57.28%	(.f64 (cos.f64 (-.f64 (exp.f64 (log.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))))
▶	2.67%	(*.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 796 to 550 computations (30.9% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))
✓	0.01%	(-.f64 (/.f64 (+.f64 m n) 2) M)
✓	0.01%	(*.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	0.02%	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)

Compiler

Compiled 102 to 42 computations (58.8% saved)

series15.0ms (0.1%)

Counts

3 → 132

Calls

33 calls:

Time	Variable		Expression
2.0ms	l	@	(*.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
2.0ms	m	@	(-.f64 (/.f64 (+.f64 m n) 2) M)
1.0ms	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))))
1.0ms	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))))
1.0ms	n	@	(*.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))

rewrite126.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

656×	`associate-+l+`
466×	`add-sqr-sqrt`
464×	`+-commutative`
456×	`*-un-lft-identity`
454×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	127
1	437	119
2	6293	119

Stop Event

1×	node limit

Counts

3 → 212

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))))

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

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

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

simplify178.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1186×	`associate-+r+`
1094×	`associate-+l+`
894×	`+-commutative`
712×	`associate-+l-`
602×	`associate-+r-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	688	23096
1	2127	20748

Stop Event

1×	node limit

Counts

344 → 446

Calls

Call 1

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

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.01%	(-.f64 (fabs.f64 (-.f64 m n)) l)
✓	0.01%	(.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))))
	0.02%	(*.f64 (+.f64 m n) (/.f64 K 2))
	52.16%	(cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M))

Compiler

Compiled 102 to 33 computations (67.6% saved)

series10.0ms (0.1%)

Counts

1 → 60

Calls

15 calls:

Time	Variable		Point	Expression
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 M M))))
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 M M))))
1.0ms	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 M M))))
1.0ms	l	@	0	(.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))))
1.0ms	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 M M))))

rewrite93.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

732×	`associate-+l+`
522×	`add-sqr-sqrt`
512×	`pow1`
512×	`*-un-lft-identity`
508×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	67
1	485	63
2	7091	63

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 M M))))

Outputs

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

simplify93.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1568×	`associate-*r/`
1264×	`associate-*l/`
550×	`distribute-rgt-in`
550×	`distribute-lft-in`
522×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	243	7607
1	728	7215
2	2482	6569

Stop Event

1×	node limit

Counts

81 → 113

Calls

Call 1

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

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

localize49.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.01%	(-.f64 (fabs.f64 (-.f64 m n)) l)
✓	0.01%	(.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))))
	0.02%	(*.f64 (+.f64 m n) (/.f64 K 2))
	52.16%	(cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M))

Compiler

Compiled 114 to 45 computations (60.5% saved)

series11.0ms (0.1%)

Counts

1 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	m	@	-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	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	@	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	l	@	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))))

rewrite94.0ms (0.6%)

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)))))))))))

simplify99.0ms (0.6%)

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

localize71.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.07%	(.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m))
✓	11.16%	(.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
✓	37.17%	(sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
✓	37.72%	(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))

Compiler

Compiled 207 to 94 computations (54.6% saved)

series39.0ms (0.2%)

Counts

4 → 112

Calls

45 calls:

Time	Variable		Point	Expression
6.0ms	n	@	0	(.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
4.0ms	K	@	-inf	(sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
4.0ms	l	@	inf	(.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
3.0ms	M	@	0	(.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
1.0ms	m	@	0	(.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))

rewrite68.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

734×	`add-sqr-sqrt`
718×	`*-un-lft-identity`
716×	`pow1`
682×	`add-exp-log`
682×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	206
1	692	206

Stop Event

1×	node limit

Counts

4 → 54

Calls

Call 1

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

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

simplify191.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1632×	`associate-*r/`
1568×	`associate-r`
1092×	`fma-def`
1046×	`associate-l`
954×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	556	20114
1	1756	19048
2	6920	19048

Stop Event

1×	node limit

Counts

166 → 231

Calls

Call 1

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

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

localize58.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.02%	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
✓	3.49%	(exp.f64 (log.f64 (.f64 (+.f64 m n) (.f64 K 1/2))))
✓	13.32%	(log.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))
✓	28.4%	(cos.f64 (-.f64 (exp.f64 (log.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))) M))

Compiler

Compiled 162 to 76 computations (53.1% saved)

series51.0ms (0.3%)

Counts

3 → 120

Calls

30 calls:

Time	Variable		Point	Expression
27.0ms	K	@	0	(log.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))
11.0ms	K	@	-inf	(log.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))
9.0ms	K	@	inf	(log.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))
0.0ms	m	@	inf	(log.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))
0.0ms	m	@	0	(log.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))

rewrite105.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1258×	`associate-*r/`
1154×	`distribute-lft-in`
1104×	`associate-*l/`
326×	`add-sqr-sqrt`
320×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	71
1	315	71
2	4070	71

Stop Event

1×	node limit

Counts

3 → 184

Calls

Call 1

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

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 (*.f64 1 (*.f64 (*.f64 (cos.f64 (*.f64 (+.f64 m n) (*.f64 K 1/2))) (cos.f64 M)) 1)) (*.f64 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 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) (neg.f64 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 (fma.f64 (+.f64 m n) (*.f64 K 1/2) (neg.f64 M))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) (neg.f64 M))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) (neg.f64 M)))) (sqrt.f64 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) (neg.f64 M)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) (neg.f64 M)))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) (neg.f64 M)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) (neg.f64 M)))) 2) (cbrt.f64 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) (neg.f64 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 /.f64 (*.f64 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 (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 1 (+.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 /.f64 (*.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)))) 1) (-.f64 (*.f64 (cos.f64 (*.f64 (+.f64 m n) (*.f64 K 1/2))) (cos.f64 M)) (*.f64 (sin.f64 (*.f64 (+.f64 m n) (*.f64 K 1/2))) (sin.f64 M))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) (neg.f64 M))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) (neg.f64 M)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) (neg.f64 M)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) (neg.f64 M))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 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simplify196.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

946×	`associate-r`
838×	`associate-l`
796×	`associate-/l*`
766×	`fma-def`
654×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	628	13286
1	1818	12926
2	7631	12926

Stop Event

1×	node limit

Counts

304 → 350

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

eval1.5s (9.5%)

Compiler: Compiled 81797 to 37916 computations (53.6% saved)

prune713.0ms (4.4%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	1928	16	1944
Fresh	7	0	7
Picked	1	0	1
Done	4	0	4
Total	1940	16	1956

Error

2.32%

Counts

1956 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	25.23%	(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 M M)))))) 3)
	81.91%	(.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))))))
	82.07%	(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (cos.f64 (.f64 K (*.f64 1/2 (+.f64 n m)))))
▶	54.16%	(.f64 (cos.f64 (-.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) 3) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
	49.83%	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 K 1/2) (pow.f64 (cbrt.f64 (+.f64 m n)) 2)) (cbrt.f64 (-.f64 (.f64 m m) (.f64 n n)))) (cbrt.f64 (-.f64 m n))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
▶	42.74%	(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (-.f64 (neg.f64 l) (*.f64 M M))))
	46.08%	(.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 (*.f64 m m) 1/4))))
	78.43%	(.f64 (cos.f64 (-.f64 (exp.f64 (+.f64 (log.f64 K) (log.f64 (.f64 1/2 (+.f64 n m))))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	76.03%	(.f64 (cos.f64 (-.f64 (exp.f64 (log.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
	43.26%	(.f64 (cos.f64 M) (exp.f64 (.f64 (*.f64 m m) -1/4)))
	46.29%	(.f64 (cos.f64 M) (exp.f64 (.f64 n (*.f64 n -1/4))))
	43.53%	(.f64 (cos.f64 M) (exp.f64 (neg.f64 (.f64 M M))))
▶	63.84%	(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
	25.25%	(fabs.f64 (.f64 (cos.f64 (-.f64 (.f64 K (*.f64 1/2 (+.f64 n m))) M)) (exp.f64 (-.f64 (-.f64 m n) (fma.f64 M M l)))))
▶	25.22%	(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 M M)))))))
▶	25.23%	(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 M M))))) 3))

Compiler

Compiled 832 to 582 computations (30% saved)

localize41.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(log1p.f64 (.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)) (exp.f64 (-.f64 (-.f64 m n) (+.f64 l (.f64 M M))))))
✓	0.01%	(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)) (exp.f64 (-.f64 (-.f64 m n) (+.f64 l (.f64 M M)))))
✓	0.02%	(.f64 (+.f64 m n) (.f64 K 1/2))
✓	52.16%	(cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))

Compiler

Compiled 139 to 47 computations (66.2% saved)

series303.0ms (1.9%)

Counts

4 → 204

Calls

51 calls:

Time	Variable		Point	Expression
69.0ms	K	@	inf	(log1p.f64 (.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)) (exp.f64 (-.f64 (-.f64 m n) (+.f64 l (.f64 M M))))))
42.0ms	K	@	-inf	(log1p.f64 (.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)) (exp.f64 (-.f64 (-.f64 m n) (+.f64 l (.f64 M M))))))
21.0ms	n	@	inf	(log1p.f64 (.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)) (exp.f64 (-.f64 (-.f64 m n) (+.f64 l (.f64 M M))))))
21.0ms	M	@	-inf	(log1p.f64 (.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)) (exp.f64 (-.f64 (-.f64 m n) (+.f64 l (.f64 M M))))))
20.0ms	M	@	inf	(log1p.f64 (.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)) (exp.f64 (-.f64 (-.f64 m n) (+.f64 l (.f64 M M))))))

rewrite114.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

866×	`associate-+l+`
564×	`associate-+r+`
558×	`+-commutative`
508×	`add-sqr-sqrt`
500×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	178
1	473	170
2	6790	170

Stop Event

1×	node limit

Counts

4 → 84

Calls

Call 1

Inputs
(cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)) (exp.f64 (-.f64 (-.f64 m n) (+.f64 l (.f64 M M)))))
(log1p.f64 (.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)) (exp.f64 (-.f64 (-.f64 m n) (+.f64 l (.f64 M 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 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 (.f64 (.f64 K 1/2) (fma.f64 m m (neg.f64 (.f64 n n)))) (-.f64 m n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 K 1/2) (+.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 (fma.f64 m m (neg.f64 (.f64 n n))) (.f64 K 1/2)) (-.f64 m n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3)) (.f64 K 1/2)) (fma.f64 m m (.f64 n (-.f64 n m))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (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 (pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 3) 1/3)))) (#(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 (pow.f64 (exp.f64 1/2) K) (+.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 (.f64 (exp.f64 (-.f64 m (+.f64 n (fma.f64 M M l)))) (.f64 (cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (cos.f64 M))) (.f64 (exp.f64 (-.f64 m (+.f64 n (fma.f64 M M l)))) (.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 m (+.f64 n (fma.f64 M M l)))) (.f64 (sin.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (sin.f64 M))) (.f64 (exp.f64 (-.f64 m (+.f64 n (fma.f64 M M l)))) (.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 m (+.f64 n (fma.f64 M M l))))) (.f64 (.f64 (sin.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (sin.f64 M)) (exp.f64 (-.f64 m (+.f64 n (fma.f64 M M l))))))))) (#(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 m (+.f64 n (fma.f64 M M l))))) (.f64 (.f64 (cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (cos.f64 M)) (exp.f64 (-.f64 m (+.f64 n (fma.f64 M M l))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)) (exp.f64 (-.f64 m (+.f64 n (fma.f64 M M l))))) 1) 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 m n))) (exp.f64 (fma.f64 M M l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (exp.f64 (-.f64 m n)) (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))) (exp.f64 (fma.f64 M M l)))))) (#(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 m (+.f64 n (fma.f64 M M l))))) 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 m (+.f64 n (fma.f64 M M l)))))) 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 m (+.f64 n (fma.f64 M M l)))))) 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 m (+.f64 n (fma.f64 M M l))))) 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 m (+.f64 n (fma.f64 M M l))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (exp.f64 (-.f64 m (+.f64 n (fma.f64 M M l))))) (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 m (+.f64 n (fma.f64 M M l))))))))))) (#(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 m (+.f64 n (fma.f64 M M l))))) 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 m (+.f64 n (fma.f64 M M l)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (exp.f64 (-.f64 m (+.f64 n (fma.f64 M M l)))) 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 m (+.f64 n (fma.f64 M M l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (-.f64 m (+.f64 n (fma.f64 M M l))) (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 m (+.f64 n (fma.f64 M M l))) (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 m (+.f64 n (fma.f64 M M l)))))))))))
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simplify183.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1772×	`associate-r`
1284×	`associate-l`
908×	`*-commutative`
594×	`+-commutative`
452×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	634	26446
1	2075	26330

Stop Event

1×	node limit

Counts

288 → 284

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

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

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))

Compiler

Compiled 20 to 9 computations (55% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite50.0ms (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))

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(-.f64 (neg.f64 l) (*.f64 M M))
✓	0.02%	(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (-.f64 (neg.f64 l) (*.f64 M M))))
	0.02%	(*.f64 (+.f64 m n) (/.f64 K 2))
	52.16%	(cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M))

Compiler

Compiled 79 to 31 computations (60.8% saved)

series8.0ms (0%)

Counts

2 → 84

Calls

21 calls:

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

rewrite97.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

702×	`associate-/r*`
456×	`add-sqr-sqrt`
442×	`pow1`
442×	`*-un-lft-identity`
424×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	72
1	427	64
2	6009	64

Stop Event

1×	node limit

Counts

2 → 118

Calls

Call 1

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

Outputs

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

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

simplify122.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1730×	`associate-*r/`
1508×	`associate-*l/`
802×	`+-commutative`
688×	`associate-r`
570×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	440	10502
1	1224	9496
2	4775	9476

Stop Event

1×	node limit

Counts

202 → 256

Calls

Call 1

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

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

localize42.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.02%	(.f64 (+.f64 m n) (.f64 K 1/2))
✓	0.04%	(pow.f64 (.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)) (exp.f64 (-.f64 (-.f64 m n) (+.f64 l (.f64 M M))))) 3)
✓	0.05%	(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 M M))))) 3))
	52.16%	(cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))

Compiler

Compiled 142 to 50 computations (64.8% saved)

series34.0ms (0.2%)

Counts

2 → 120

Calls

30 calls:

Time	Variable		Expression
6.0ms	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 M M))))) 3)
5.0ms	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 M M))))) 3)
4.0ms	n	@	(pow.f64 (.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)) (exp.f64 (-.f64 (-.f64 m n) (+.f64 l (.f64 M M))))) 3)
4.0ms	m	@	(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 M M))))) 3))
2.0ms	K	@	(pow.f64 (.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)) (exp.f64 (-.f64 (-.f64 m n) (+.f64 l (.f64 M M))))) 3)

rewrite108.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

874×	`associate-+l+`
580×	`associate-+r+`
556×	`+-commutative`
534×	`add-sqr-sqrt`
520×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	132
1	522	124
2	7162	124

Stop Event

1×	node limit

Counts

2 → 65

Calls

Call 1

Inputs

(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 M M))))) 3))

(pow.f64 (*.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (*.f64 K 1/2)) M)) (exp.f64 (-.f64 (-.f64 m n) (+.f64 l (*.f64 M M))))) 3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 (-.f64 (-.f64 m n) (fma.f64 M M l))) (*.f64 (cos.f64 (*.f64 (+.f64 m n) (*.f64 K 1/2))) (cos.f64 M))) (*.f64 (exp.f64 (-.f64 (-.f64 m n) (fma.f64 M M l))) (*.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) (fma.f64 M M l))) (*.f64 (sin.f64 (*.f64 (+.f64 m n) (*.f64 K 1/2))) (sin.f64 M))) (*.f64 (exp.f64 (-.f64 (-.f64 m n) (fma.f64 M M l))) (*.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) (fma.f64 M M l)))) (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 m n) (*.f64 K 1/2))) (sin.f64 M)) (exp.f64 (-.f64 (-.f64 m n) (fma.f64 M M l)))))))) (#(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 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(sqrt.f64 (*.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (*.f64 K 1/2)) M)) (exp.f64 (-.f64 (-.f64 m n) (fma.f64 M M l))))) (sqrt.f64 (*.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (*.f64 K 1/2)) M)) (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)))) (*.f64 (sqrt.f64 (exp.f64 (-.f64 (-.f64 m n) (fma.f64 M M l)))) (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))) (*.f64 (sqrt.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (*.f64 K 1/2)) M))) (exp.f64 (-.f64 (-.f64 m n) (fma.f64 M M l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (*.f64 K 1/2)) M)) (exp.f64 (-.f64 (-.f64 m n) (fma.f64 M M l))))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (*.f64 K 1/2)) M)) (exp.f64 (-.f64 (-.f64 m n) (fma.f64 M M l))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (*.f64 K 1/2)) M)) (exp.f64 (-.f64 (-.f64 m n) (fma.f64 M M l))))) (pow.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (*.f64 K 1/2)) M)) (exp.f64 (-.f64 (-.f64 m n) (fma.f64 M M l)))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (*.f64 K 1/2)) M)) (exp.f64 (-.f64 (-.f64 m n) (fma.f64 M M l))))) 2) (cbrt.f64 (*.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (*.f64 K 1/2)) M)) (exp.f64 (-.f64 (-.f64 m n) (fma.f64 M M l))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (-.f64 m n) (fma.f64 M M l)))) 2) (*.f64 (cbrt.f64 (exp.f64 (-.f64 (-.f64 m n) (fma.f64 M M l)))) (cos.f64 (-.f64 (*.f64 (+.f64 m n) (*.f64 K 1/2)) M))))))) (#(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) (*.f64 (cbrt.f64 (cos.f64 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(*.f64 (+.f64 m n) (*.f64 K 1/2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (*.f64 K 1/2)) M)) (exp.f64 (-.f64 (-.f64 m n) (fma.f64 M M l)))) 2) 1/3) (cbrt.f64 (*.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (*.f64 K 1/2)) M)) (exp.f64 (-.f64 (-.f64 m n) (fma.f64 M M l))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (*.f64 K 1/2)) M)) (exp.f64 (-.f64 (-.f64 m n) (fma.f64 M M l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (*.f64 K 1/2)) M)) (exp.f64 (-.f64 (-.f64 m n) (fma.f64 M M l)))) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (*.f64 K 1/2)) M)) (exp.f64 (-.f64 (-.f64 m n) (fma.f64 M M l)))) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (*.f64 K 1/2)) M)) (exp.f64 (-.f64 m n))) (exp.f64 (fma.f64 M M l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 (-.f64 m n)) (cos.f64 (-.f64 (*.f64 (+.f64 m n) (*.f64 K 1/2)) M))) (exp.f64 (fma.f64 M M l)))))) (#(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) (fma.f64 M M l)))) 1)))) (#(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) (fma.f64 M M l)))) 3) 1/3)))) (#(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) (fma.f64 M M l))))) 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) (fma.f64 M M l))))) 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) (fma.f64 M M l)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (exp.f64 (-.f64 (-.f64 m n) (fma.f64 M M l)))) (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) (fma.f64 M M l)))))))))) (#(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) (fma.f64 M M l))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (-.f64 (-.f64 m n) (fma.f64 M M l)) (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) (fma.f64 M M l)) (log.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (*.f64 K 1/2)) M)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (+.f64 (-.f64 (-.f64 m n) (fma.f64 M M l)) (log.f64 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simplify252.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1256×	`fma-def`
1146×	`associate-/r*`
716×	`distribute-lft-in`
710×	`distribute-rgt-in`
588×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	598	28319
1	2093	27717
2	6298	27717

Stop Event

1×	node limit

Counts

185 → 204

Calls

Call 1

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

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

localize48.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.02%	(.f64 (+.f64 m n) (.f64 K 1/2))
✓	0.88%	(pow.f64 (cbrt.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) 3)
✓	23.82%	(cbrt.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))
✓	52.46%	(cos.f64 (-.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) 3) M))

Compiler

Compiled 130 to 53 computations (59.2% saved)

series25.0ms (0.2%)

Counts

3 → 43

Calls

30 calls:

Time	Variable		Point	Expression
5.0ms	m	@	0	(cos.f64 (-.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) 3) M))
5.0ms	n	@	0	(cos.f64 (-.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) 3) M))
1.0ms	m	@	inf	(cos.f64 (-.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) 3) M))
1.0ms	K	@	-inf	(cos.f64 (-.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) 3) M))
1.0ms	m	@	0	(pow.f64 (cbrt.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) 3)

rewrite97.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1234×	`associate-*r/`
1082×	`associate-*l/`
350×	`add-sqr-sqrt`
336×	`*-un-lft-identity`
334×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	71
1	352	71
2	4405	71

Stop Event

1×	node limit

Counts

3 → 156

Calls

Call 1

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

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))) 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simplify125.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1520×	`associate-r`
1290×	`associate-l`
988×	`*-commutative`
842×	`associate-/l*`
514×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	678	16335
1	2201	16101

Stop Event

1×	node limit

Counts

199 → 318

Calls

Call 1

Inputs
(cos.f64 (-.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (*.f64 n K))) M))
(+.f64 (.f64 -1 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (.f64 n K))) M)) (.f64 m (+.f64 (.f64 1/6 (pow.f64 (.f64 (pow.f64 n 4) (.f64 1 (pow.f64 K 13))) 1/9)) (.f64 1/3 (pow.f64 (.f64 (pow.f64 n 4) (.f64 1 (pow.f64 K 13))) 1/9)))))) (cos.f64 (-.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (*.f64 n K))) M)))
(+.f64 (.f64 -1 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (.f64 n K))) M)) (.f64 m (+.f64 (.f64 1/6 (pow.f64 (.f64 (pow.f64 n 4) (.f64 1 (pow.f64 K 13))) 1/9)) (.f64 1/3 (pow.f64 (.f64 (pow.f64 n 4) (.f64 1 (pow.f64 K 13))) 1/9)))))) (+.f64 (.f64 (-.f64 (.f64 -1/2 (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (.f64 n K))) M)) (pow.f64 (+.f64 (.f64 1/6 (pow.f64 (.f64 (pow.f64 n 4) (.f64 1 (pow.f64 K 13))) 1/9)) (.f64 1/3 (pow.f64 (.f64 (pow.f64 n 4) (.f64 1 (pow.f64 K 13))) 1/9))) 2))) (.f64 (+.f64 (.f64 (pow.f64 (.f64 n (.f64 1 K)) 1/3) (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 14)) (pow.f64 n 4)) 1/9) (pow.f64 (cbrt.f64 1/2) 2))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 14)) (pow.f64 n 4)) 1/9) (pow.f64 (cbrt.f64 1/2) 2)))) (cbrt.f64 1/2))) (+.f64 (.f64 1/9 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 17)) n) 1/9)) (.f64 -1/18 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 17)) n) 1/9)))) (sin.f64 (-.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (.f64 n K))) M)))) (pow.f64 m 2)) (cos.f64 (-.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (*.f64 n K))) M))))
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(.f64 (pow.f64 (cbrt.f64 (.f64 K 1/2)) 2) (.f64 (cbrt.f64 (.f64 K 1/2)) (+.f64 m n)))
(.f64 (cbrt.f64 (+.f64 m n)) (.f64 (cbrt.f64 (.f64 K 1/2)) (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))) 2)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 m n)) 2) (.f64 (cbrt.f64 (+.f64 m n)) (*.f64 K 1/2)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))) 2) (.f64 (cbrt.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 (.f64 (+.f64 m n) K) 1/2)
(.f64 (.f64 (+.f64 m n) 1/2) K)
(.f64 (.f64 (+.f64 m n) (sqrt.f64 (.f64 K 1/2))) (sqrt.f64 (.f64 K 1/2)))
(.f64 (.f64 (+.f64 m n) (pow.f64 (cbrt.f64 (.f64 K 1/2)) 2)) (cbrt.f64 (.f64 K 1/2)))
(.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 (.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) 2) 1) (cbrt.f64 (.f64 (+.f64 m n) (.f64 K 1/2))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) 2) (pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 1/6)) (pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) 2) (cbrt.f64 (+.f64 m n))) (cbrt.f64 (*.f64 K 1/2)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))) 2)) (cbrt.f64 (cbrt.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 1/6) 3) (pow.f64 (pow.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)) 1/6) 3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))) 2) 3) (cbrt.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))))
(.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 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K 1/2)) (-.f64 (.f64 m m) (*.f64 n n))) (+.f64 m n))
(.f64 (/.f64 (.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K 1/2)) (-.f64 (pow.f64 m 3) (pow.f64 n 3))) (+.f64 (.f64 m m) (+.f64 (.f64 n n) (.f64 m n))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3)) (.f64 K 1/2)) (-.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 (pow.f64 m 3) (pow.f64 n 3)) (.f64 K 1/2)) (+.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 K 1/2) (/.f64 1 (+.f64 m n)))
(/.f64 (-.f64 (.f64 m m) (.f64 n n)) (/.f64 (-.f64 m n) (*.f64 K 1/2)))
(/.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3)) (/.f64 (fma.f64 m m (.f64 n (-.f64 n m))) (.f64 K 1/2)))
(/.f64 (.f64 (.f64 K 1/2) (-.f64 (.f64 m m) (.f64 n n))) (-.f64 m n))
(/.f64 (.f64 (.f64 K 1/2) (+.f64 (pow.f64 m 3) (pow.f64 n 3))) (fma.f64 m m (*.f64 n (-.f64 n m))))
(/.f64 (.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K 1/2)) (-.f64 m n))
(/.f64 (.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3)) (.f64 K 1/2)) (fma.f64 m m (*.f64 n (-.f64 n m))))
(/.f64 (.f64 1/2 (.f64 (-.f64 (.f64 m m) (.f64 n n)) K)) (-.f64 m n))
(/.f64 (.f64 1/2 (.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3)) K)) (fma.f64 m m (*.f64 n (-.f64 n m))))
(/.f64 (.f64 (.f64 K 1/2) (-.f64 (.f64 n n) (.f64 m m))) (-.f64 n m))
(/.f64 (.f64 (.f64 K 1/2) (neg.f64 (-.f64 (.f64 m m) (.f64 n n)))) (neg.f64 (-.f64 m n)))
(/.f64 (.f64 (.f64 K 1/2) (neg.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3)))) (neg.f64 (fma.f64 m m (*.f64 n (-.f64 n m)))))
(/.f64 (.f64 1 (.f64 (.f64 K 1/2) (-.f64 (.f64 m m) (*.f64 n n)))) (-.f64 m n))
(/.f64 (.f64 1 (.f64 (.f64 K 1/2) (+.f64 (pow.f64 m 3) (pow.f64 n 3)))) (fma.f64 m m (.f64 n (-.f64 n m))))
(/.f64 (.f64 1 (.f64 (-.f64 (.f64 m m) (.f64 n n)) (*.f64 K 1/2))) (-.f64 m n))
(/.f64 (.f64 1 (.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3)) (.f64 K 1/2))) (fma.f64 m m (.f64 n (-.f64 n m))))
(/.f64 (.f64 (.f64 (.f64 K 1/2) (sqrt.f64 (+.f64 m n))) (sqrt.f64 (-.f64 (.f64 m m) (*.f64 n n)))) (sqrt.f64 (-.f64 m n)))
(/.f64 (.f64 (.f64 (.f64 K 1/2) (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 (.f64 K 1/2) (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 (.f64 K 1/2) (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)))))
(/.f64 (.f64 (-.f64 (.f64 n n) (.f64 m m)) (.f64 K 1/2)) (-.f64 n m))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 m m) (.f64 n n))) (.f64 K 1/2)) (neg.f64 (-.f64 m n)))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3))) (.f64 K 1/2)) (neg.f64 (fma.f64 m m (*.f64 n (-.f64 n m)))))
(/.f64 (.f64 (.f64 (.f64 K 1/2) (-.f64 (.f64 m m) (*.f64 n n))) 1) (-.f64 m n))
(/.f64 (.f64 (.f64 (.f64 K 1/2) (+.f64 (pow.f64 m 3) (pow.f64 n 3))) 1) (fma.f64 m m (.f64 n (-.f64 n m))))
(/.f64 (.f64 (.f64 (-.f64 (.f64 m m) (.f64 n n)) (*.f64 K 1/2)) 1) (-.f64 m n))
(/.f64 (.f64 (.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3)) (.f64 K 1/2)) 1) (fma.f64 m m (.f64 n (-.f64 n m))))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 m m) (.f64 n n))) (.f64 (sqrt.f64 (+.f64 m n)) (*.f64 K 1/2))) (sqrt.f64 (-.f64 m n)))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3))) (.f64 (sqrt.f64 (+.f64 m n)) (.f64 K 1/2))) (sqrt.f64 (fma.f64 m m (.f64 n (-.f64 n m)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 m m) (.f64 n n))) (.f64 (cbrt.f64 (.f64 K 1/2)) (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))) 2))) (cbrt.f64 (-.f64 m n)))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3))) (.f64 (cbrt.f64 (.f64 K 1/2)) (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) 2))) (cbrt.f64 (fma.f64 m m (.f64 n (-.f64 n m)))))
(/.f64 (.f64 (.f64 (-.f64 (.f64 m m) (.f64 n n)) K) 1/2) (-.f64 m n))
(/.f64 (.f64 (.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3)) K) 1/2) (fma.f64 m m (*.f64 n (-.f64 n m))))
(/.f64 (/.f64 (.f64 (.f64 K 1/2) (-.f64 (.f64 m m) (.f64 n n))) 1) (-.f64 m n))
(/.f64 (/.f64 (.f64 (.f64 K 1/2) (-.f64 (.f64 m m) (.f64 n n))) (sqrt.f64 (-.f64 m n))) (sqrt.f64 (-.f64 m n)))
(/.f64 (/.f64 (.f64 (.f64 K 1/2) (-.f64 (.f64 m m) (.f64 n n))) (*.f64 (cbrt.f64 (-.f64 m n)) (cbrt.f64 (-.f64 m n)))) (cbrt.f64 (-.f64 m n)))
(/.f64 (/.f64 (.f64 (.f64 K 1/2) (-.f64 (.f64 m m) (.f64 n n))) (+.f64 (sqrt.f64 n) (sqrt.f64 m))) (-.f64 (sqrt.f64 m) (sqrt.f64 n)))
(/.f64 (/.f64 (.f64 (.f64 K 1/2) (+.f64 (pow.f64 m 3) (pow.f64 n 3))) 1) (fma.f64 m m (*.f64 n (-.f64 n m))))
(/.f64 (/.f64 (.f64 (.f64 K 1/2) (+.f64 (pow.f64 m 3) (pow.f64 n 3))) (sqrt.f64 (fma.f64 m m (.f64 n (-.f64 n m))))) (sqrt.f64 (fma.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 (cbrt.f64 (fma.f64 m m (.f64 n (-.f64 n m)))) (cbrt.f64 (fma.f64 m m (.f64 n (-.f64 n m)))))) (cbrt.f64 (fma.f64 m m (.f64 n (-.f64 n m)))))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K 1/2)) 1) (-.f64 m n))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K 1/2)) (sqrt.f64 (-.f64 m n))) (sqrt.f64 (-.f64 m n)))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K 1/2)) (*.f64 (cbrt.f64 (-.f64 m n)) (cbrt.f64 (-.f64 m n)))) (cbrt.f64 (-.f64 m n)))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K 1/2)) (+.f64 (sqrt.f64 n) (sqrt.f64 m))) (-.f64 (sqrt.f64 m) (sqrt.f64 n)))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3)) (.f64 K 1/2)) 1) (fma.f64 m m (*.f64 n (-.f64 n m))))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3)) (.f64 K 1/2)) (sqrt.f64 (fma.f64 m m (.f64 n (-.f64 n m))))) (sqrt.f64 (fma.f64 m m (.f64 n (-.f64 n m)))))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3)) (.f64 K 1/2)) (.f64 (cbrt.f64 (fma.f64 m m (.f64 n (-.f64 n m)))) (cbrt.f64 (fma.f64 m m (.f64 n (-.f64 n m)))))) (cbrt.f64 (fma.f64 m m (.f64 n (-.f64 n m)))))
(sqrt.f64 (pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/2) K) (+.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))))

Outputs
(cos.f64 (-.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (*.f64 n K))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(+.f64 (.f64 -1 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (.f64 n K))) M)) (.f64 m (+.f64 (.f64 1/6 (pow.f64 (.f64 (pow.f64 n 4) (.f64 1 (pow.f64 K 13))) 1/9)) (.f64 1/3 (pow.f64 (.f64 (pow.f64 n 4) (.f64 1 (pow.f64 K 13))) 1/9)))))) (cos.f64 (-.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (*.f64 n K))) M)))
(fma.f64 -1 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 m (.f64 (.f64 (pow.f64 (.f64 (pow.f64 n 4) (pow.f64 K 13)) 1/18) (pow.f64 (.f64 (pow.f64 n 4) (pow.f64 K 13)) 1/18)) 1/2))) (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)))
(fma.f64 -1 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 (.f64 (pow.f64 (.f64 (pow.f64 n 4) (pow.f64 K 13)) 1/18) (pow.f64 (.f64 (pow.f64 n 4) (pow.f64 K 13)) 1/18)) (.f64 1/2 m))) (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)))
(+.f64 (.f64 -1 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (.f64 n K))) M)) (.f64 m (+.f64 (.f64 1/6 (pow.f64 (.f64 (pow.f64 n 4) (.f64 1 (pow.f64 K 13))) 1/9)) (.f64 1/3 (pow.f64 (.f64 (pow.f64 n 4) (.f64 1 (pow.f64 K 13))) 1/9)))))) (+.f64 (.f64 (-.f64 (.f64 -1/2 (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (.f64 n K))) M)) (pow.f64 (+.f64 (.f64 1/6 (pow.f64 (.f64 (pow.f64 n 4) (.f64 1 (pow.f64 K 13))) 1/9)) (.f64 1/3 (pow.f64 (.f64 (pow.f64 n 4) (.f64 1 (pow.f64 K 13))) 1/9))) 2))) (.f64 (+.f64 (.f64 (pow.f64 (.f64 n (.f64 1 K)) 1/3) (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 14)) (pow.f64 n 4)) 1/9) (pow.f64 (cbrt.f64 1/2) 2))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 14)) (pow.f64 n 4)) 1/9) (pow.f64 (cbrt.f64 1/2) 2)))) (cbrt.f64 1/2))) (+.f64 (.f64 1/9 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 17)) n) 1/9)) (.f64 -1/18 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 17)) n) 1/9)))) (sin.f64 (-.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (.f64 n K))) M)))) (pow.f64 m 2)) (cos.f64 (-.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (*.f64 n K))) M))))
(fma.f64 -1 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 m (.f64 (.f64 (pow.f64 (.f64 (pow.f64 n 4) (pow.f64 K 13)) 1/18) (pow.f64 (.f64 (pow.f64 n 4) (pow.f64 K 13)) 1/18)) 1/2))) (fma.f64 (-.f64 (.f64 -1/2 (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (pow.f64 (.f64 (.f64 (pow.f64 (.f64 (pow.f64 n 4) (pow.f64 K 13)) 1/18) (pow.f64 (.f64 (pow.f64 n 4) (pow.f64 K 13)) 1/18)) 1/2) 2))) (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (fma.f64 (cbrt.f64 (.f64 n K)) (.f64 (cbrt.f64 1/2) (.f64 (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 K 14) (pow.f64 n 4)) 1/18) (pow.f64 (/.f64 (pow.f64 K 14) (pow.f64 n 4)) 1/18)) (pow.f64 (cbrt.f64 1/2) 2)) -1/9)) (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 K 17) n) 1/18) (pow.f64 (/.f64 (pow.f64 K 17) n) 1/18)) 1/18)))) (.f64 m m) (cos.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M))))
(fma.f64 -1 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 (.f64 (pow.f64 (.f64 (pow.f64 n 4) (pow.f64 K 13)) 1/18) (pow.f64 (.f64 (pow.f64 n 4) (pow.f64 K 13)) 1/18)) (.f64 1/2 m))) (fma.f64 (-.f64 (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 (pow.f64 (.f64 1/2 (.f64 (pow.f64 (.f64 (pow.f64 n 4) (pow.f64 K 13)) 1/18) (pow.f64 (.f64 (pow.f64 n 4) (pow.f64 K 13)) 1/18))) 2) -1/2)) (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (fma.f64 (cbrt.f64 (.f64 n K)) (.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 (/.f64 (pow.f64 K 14) (pow.f64 n 4)) 1/18)) (pow.f64 (/.f64 (pow.f64 K 14) (pow.f64 n 4)) 1/18)) (.f64 -1/9 (cbrt.f64 1/2))) (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 K 17) n) 1/18) (pow.f64 (/.f64 (pow.f64 K 17) n) 1/18)) 1/18)))) (.f64 m m) (cos.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M))))
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(cos.f64 (neg.f64 M))
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(cos.f64 (.f64 K (.f64 1/2 (+.f64 n m))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
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(.f64 (cbrt.f64 (.f64 n K)) (cbrt.f64 1/2))
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(/.f64 (.f64 (.f64 (.f64 K 1/2) (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 (sqrt.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3))) (/.f64 (sqrt.f64 (fma.f64 m m (.f64 n (-.f64 n m)))) (.f64 (*.f64 1/2 K) (sqrt.f64 (+.f64 n m)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3))) (sqrt.f64 (fma.f64 m m (.f64 n (-.f64 n m))))) (.f64 1/2 (.f64 K (sqrt.f64 (+.f64 n m)))))
(/.f64 (.f64 (.f64 (.f64 K 1/2) (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 1/2 K) (pow.f64 (cbrt.f64 (+.f64 n m)) 2)) (/.f64 (cbrt.f64 (-.f64 m n)) (cbrt.f64 (-.f64 (.f64 m m) (.f64 n n)))))
(.f64 (/.f64 (.f64 (.f64 1/2 K) (pow.f64 (cbrt.f64 (+.f64 n m)) 2)) (cbrt.f64 (-.f64 m n))) (cbrt.f64 (-.f64 (.f64 m m) (*.f64 n n))))
(/.f64 (.f64 (.f64 (.f64 K 1/2) (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)))))
(/.f64 (.f64 (.f64 1/2 K) (pow.f64 (cbrt.f64 (+.f64 n m)) 2)) (/.f64 (cbrt.f64 (fma.f64 m m (*.f64 n (-.f64 n m)))) (cbrt.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3)))))
(.f64 (/.f64 (.f64 (.f64 1/2 K) (pow.f64 (cbrt.f64 (+.f64 n m)) 2)) (cbrt.f64 (fma.f64 m m (.f64 n (-.f64 n m))))) (cbrt.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3))))
(/.f64 (.f64 (-.f64 (.f64 n n) (.f64 m m)) (.f64 K 1/2)) (-.f64 n m))
(/.f64 (.f64 1/2 K) (/.f64 (-.f64 n m) (-.f64 (.f64 n n) (*.f64 m m))))
(/.f64 K (/.f64 (/.f64 (-.f64 n m) (*.f64 (+.f64 n m) (-.f64 n m))) 1/2))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 m m) (.f64 n n))) (.f64 K 1/2)) (neg.f64 (-.f64 m n)))
(/.f64 (neg.f64 (-.f64 (.f64 m m) (.f64 n n))) (/.f64 (neg.f64 (-.f64 m n)) (*.f64 1/2 K)))
(/.f64 K (/.f64 (neg.f64 (-.f64 m n)) (.f64 -1/2 (-.f64 (.f64 m m) (*.f64 n n)))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3))) (.f64 K 1/2)) (neg.f64 (fma.f64 m m (*.f64 n (-.f64 n m)))))
(/.f64 (neg.f64 (.f64 1/2 (.f64 K (+.f64 (pow.f64 m 3) (pow.f64 n 3))))) (neg.f64 (fma.f64 m m (*.f64 n (-.f64 n m)))))
(/.f64 K (/.f64 (neg.f64 (fma.f64 m m (.f64 n (-.f64 n m)))) (.f64 -1/2 (+.f64 (pow.f64 m 3) (pow.f64 n 3)))))
(/.f64 (.f64 (.f64 (.f64 K 1/2) (-.f64 (.f64 m m) (*.f64 n n))) 1) (-.f64 m n))
(/.f64 (.f64 1/2 K) (/.f64 (-.f64 m n) (-.f64 (.f64 m m) (*.f64 n n))))
(.f64 (.f64 1/2 K) (/.f64 (+.f64 n m) (/.f64 (-.f64 m n) (-.f64 m n))))
(/.f64 (.f64 (.f64 (.f64 K 1/2) (+.f64 (pow.f64 m 3) (pow.f64 n 3))) 1) (fma.f64 m m (.f64 n (-.f64 n m))))
(.f64 (/.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3)) (fma.f64 m m (.f64 n (-.f64 n m)))) (*.f64 1/2 K))
(.f64 (/.f64 (.f64 1/2 K) (fma.f64 m m (*.f64 n (-.f64 n m)))) (+.f64 (pow.f64 m 3) (pow.f64 n 3)))
(/.f64 (.f64 (.f64 (-.f64 (.f64 m m) (.f64 n n)) (*.f64 K 1/2)) 1) (-.f64 m n))
(/.f64 (.f64 1/2 K) (/.f64 (-.f64 m n) (-.f64 (.f64 m m) (*.f64 n n))))
(.f64 (.f64 1/2 K) (/.f64 (+.f64 n m) (/.f64 (-.f64 m n) (-.f64 m n))))
(/.f64 (.f64 (.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3)) (.f64 K 1/2)) 1) (fma.f64 m m (.f64 n (-.f64 n m))))
(.f64 (/.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3)) (fma.f64 m m (.f64 n (-.f64 n m)))) (*.f64 1/2 K))
(.f64 (/.f64 (.f64 1/2 K) (fma.f64 m m (*.f64 n (-.f64 n m)))) (+.f64 (pow.f64 m 3) (pow.f64 n 3)))
(/.f64 (.f64 (sqrt.f64 (-.f64 (.f64 m m) (.f64 n n))) (.f64 (sqrt.f64 (+.f64 m n)) (*.f64 K 1/2))) (sqrt.f64 (-.f64 m n)))
(/.f64 (.f64 (.f64 1/2 K) (sqrt.f64 (+.f64 n m))) (/.f64 (sqrt.f64 (-.f64 m n)) (sqrt.f64 (-.f64 (.f64 m m) (.f64 n n)))))
(.f64 (/.f64 (.f64 1/2 (.f64 K (sqrt.f64 (+.f64 n m)))) (sqrt.f64 (-.f64 m n))) (sqrt.f64 (-.f64 (.f64 m m) (*.f64 n n))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3))) (.f64 (sqrt.f64 (+.f64 m n)) (.f64 K 1/2))) (sqrt.f64 (fma.f64 m m (.f64 n (-.f64 n m)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3))) (/.f64 (sqrt.f64 (fma.f64 m m (.f64 n (-.f64 n m)))) (.f64 (*.f64 1/2 K) (sqrt.f64 (+.f64 n m)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3))) (sqrt.f64 (fma.f64 m m (.f64 n (-.f64 n m))))) (.f64 1/2 (.f64 K (sqrt.f64 (+.f64 n m)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 m m) (.f64 n n))) (.f64 (cbrt.f64 (.f64 K 1/2)) (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))) 2))) (cbrt.f64 (-.f64 m n)))
(/.f64 (.f64 (.f64 (cbrt.f64 (.f64 1/2 K)) (cbrt.f64 (-.f64 (.f64 m m) (.f64 n n)))) (pow.f64 (cbrt.f64 (.f64 K (*.f64 1/2 (+.f64 n m)))) 2)) (cbrt.f64 (-.f64 m n)))
(/.f64 (cbrt.f64 (-.f64 (.f64 m m) (.f64 n n))) (/.f64 (/.f64 (cbrt.f64 (-.f64 m n)) (cbrt.f64 (.f64 1/2 K))) (pow.f64 (cbrt.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))) 2)))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3))) (.f64 (cbrt.f64 (.f64 K 1/2)) (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) 2))) (cbrt.f64 (fma.f64 m m (.f64 n (-.f64 n m)))))
(/.f64 (.f64 (.f64 (cbrt.f64 (.f64 1/2 K)) (cbrt.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3)))) (pow.f64 (cbrt.f64 (.f64 K (.f64 1/2 (+.f64 n m)))) 2)) (cbrt.f64 (fma.f64 m m (.f64 n (-.f64 n m)))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3))) (/.f64 (/.f64 (cbrt.f64 (fma.f64 m m (.f64 n (-.f64 n m)))) (cbrt.f64 (.f64 1/2 K))) (pow.f64 (cbrt.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) 2)))
(/.f64 (.f64 (.f64 (-.f64 (.f64 m m) (.f64 n n)) K) 1/2) (-.f64 m n))
(/.f64 (.f64 1/2 K) (/.f64 (-.f64 m n) (-.f64 (.f64 m m) (*.f64 n n))))
(.f64 (.f64 1/2 K) (/.f64 (+.f64 n m) (/.f64 (-.f64 m n) (-.f64 m n))))
(/.f64 (.f64 (.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3)) K) 1/2) (fma.f64 m m (*.f64 n (-.f64 n m))))
(.f64 (/.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3)) (fma.f64 m m (.f64 n (-.f64 n m)))) (*.f64 1/2 K))
(.f64 (/.f64 (.f64 1/2 K) (fma.f64 m m (*.f64 n (-.f64 n m)))) (+.f64 (pow.f64 m 3) (pow.f64 n 3)))
(/.f64 (/.f64 (.f64 (.f64 K 1/2) (-.f64 (.f64 m m) (.f64 n n))) 1) (-.f64 m n))
(/.f64 (.f64 1/2 K) (/.f64 (-.f64 m n) (-.f64 (.f64 m m) (*.f64 n n))))
(.f64 (.f64 1/2 K) (/.f64 (+.f64 n m) (/.f64 (-.f64 m n) (-.f64 m n))))
(/.f64 (/.f64 (.f64 (.f64 K 1/2) (-.f64 (.f64 m m) (.f64 n n))) (sqrt.f64 (-.f64 m n))) (sqrt.f64 (-.f64 m n)))
(/.f64 (.f64 (.f64 1/2 K) (-.f64 (.f64 m m) (.f64 n n))) (*.f64 (sqrt.f64 (-.f64 m n)) (sqrt.f64 (-.f64 m n))))
(/.f64 K (/.f64 (.f64 (sqrt.f64 (-.f64 m n)) (sqrt.f64 (-.f64 m n))) (.f64 (*.f64 1/2 (+.f64 n m)) (-.f64 m n))))
(/.f64 (/.f64 (.f64 (.f64 K 1/2) (-.f64 (.f64 m m) (.f64 n n))) (*.f64 (cbrt.f64 (-.f64 m n)) (cbrt.f64 (-.f64 m n)))) (cbrt.f64 (-.f64 m n)))
(/.f64 (.f64 (.f64 1/2 K) (-.f64 (.f64 m m) (.f64 n n))) (.f64 (cbrt.f64 (-.f64 m n)) (.f64 (cbrt.f64 (-.f64 m n)) (cbrt.f64 (-.f64 m n)))))
(/.f64 1/2 (/.f64 (.f64 (cbrt.f64 (-.f64 m n)) (.f64 (cbrt.f64 (-.f64 m n)) (cbrt.f64 (-.f64 m n)))) (.f64 K (-.f64 (.f64 m m) (*.f64 n n)))))
(/.f64 (/.f64 (.f64 (.f64 K 1/2) (-.f64 (.f64 m m) (.f64 n n))) (+.f64 (sqrt.f64 n) (sqrt.f64 m))) (-.f64 (sqrt.f64 m) (sqrt.f64 n)))
(/.f64 (.f64 (.f64 1/2 K) (-.f64 (.f64 m m) (.f64 n n))) (*.f64 (-.f64 (sqrt.f64 m) (sqrt.f64 n)) (+.f64 (sqrt.f64 n) (sqrt.f64 m))))
(/.f64 (.f64 K (.f64 (.f64 1/2 (+.f64 n m)) (-.f64 m n))) (.f64 (+.f64 (sqrt.f64 n) (sqrt.f64 m)) (-.f64 (sqrt.f64 m) (sqrt.f64 n))))
(/.f64 (/.f64 (.f64 (.f64 K 1/2) (+.f64 (pow.f64 m 3) (pow.f64 n 3))) 1) (fma.f64 m m (*.f64 n (-.f64 n m))))
(.f64 (/.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3)) (fma.f64 m m (.f64 n (-.f64 n m)))) (*.f64 1/2 K))
(.f64 (/.f64 (.f64 1/2 K) (fma.f64 m m (*.f64 n (-.f64 n m)))) (+.f64 (pow.f64 m 3) (pow.f64 n 3)))
(/.f64 (/.f64 (.f64 (.f64 K 1/2) (+.f64 (pow.f64 m 3) (pow.f64 n 3))) (sqrt.f64 (fma.f64 m m (.f64 n (-.f64 n m))))) (sqrt.f64 (fma.f64 m m (.f64 n (-.f64 n m)))))
(/.f64 (.f64 1/2 (.f64 K (+.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 (.f64 (.f64 K 1/2) (+.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)))))) (cbrt.f64 (fma.f64 m m (.f64 n (-.f64 n m)))))
(/.f64 (.f64 1/2 (.f64 K (+.f64 (pow.f64 m 3) (pow.f64 n 3)))) (.f64 (cbrt.f64 (fma.f64 m m (.f64 n (-.f64 n m)))) (.f64 (cbrt.f64 (fma.f64 m m (.f64 n (-.f64 n m)))) (cbrt.f64 (fma.f64 m m (*.f64 n (-.f64 n m)))))))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K 1/2)) 1) (-.f64 m n))
(/.f64 (.f64 1/2 K) (/.f64 (-.f64 m n) (-.f64 (.f64 m m) (*.f64 n n))))
(.f64 (.f64 1/2 K) (/.f64 (+.f64 n m) (/.f64 (-.f64 m n) (-.f64 m n))))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K 1/2)) (sqrt.f64 (-.f64 m n))) (sqrt.f64 (-.f64 m n)))
(/.f64 (.f64 (.f64 1/2 K) (-.f64 (.f64 m m) (.f64 n n))) (*.f64 (sqrt.f64 (-.f64 m n)) (sqrt.f64 (-.f64 m n))))
(/.f64 K (/.f64 (.f64 (sqrt.f64 (-.f64 m n)) (sqrt.f64 (-.f64 m n))) (.f64 (*.f64 1/2 (+.f64 n m)) (-.f64 m n))))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K 1/2)) (*.f64 (cbrt.f64 (-.f64 m n)) (cbrt.f64 (-.f64 m n)))) (cbrt.f64 (-.f64 m n)))
(/.f64 (.f64 (.f64 1/2 K) (-.f64 (.f64 m m) (.f64 n n))) (.f64 (cbrt.f64 (-.f64 m n)) (.f64 (cbrt.f64 (-.f64 m n)) (cbrt.f64 (-.f64 m n)))))
(/.f64 1/2 (/.f64 (.f64 (cbrt.f64 (-.f64 m n)) (.f64 (cbrt.f64 (-.f64 m n)) (cbrt.f64 (-.f64 m n)))) (.f64 K (-.f64 (.f64 m m) (*.f64 n n)))))
(/.f64 (/.f64 (.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K 1/2)) (+.f64 (sqrt.f64 n) (sqrt.f64 m))) (-.f64 (sqrt.f64 m) (sqrt.f64 n)))
(/.f64 (.f64 (.f64 1/2 K) (-.f64 (.f64 m m) (.f64 n n))) (*.f64 (-.f64 (sqrt.f64 m) (sqrt.f64 n)) (+.f64 (sqrt.f64 n) (sqrt.f64 m))))
(/.f64 (.f64 K (.f64 (.f64 1/2 (+.f64 n m)) (-.f64 m n))) (.f64 (+.f64 (sqrt.f64 n) (sqrt.f64 m)) (-.f64 (sqrt.f64 m) (sqrt.f64 n))))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3)) (.f64 K 1/2)) 1) (fma.f64 m m (*.f64 n (-.f64 n m))))
(.f64 (/.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3)) (fma.f64 m m (.f64 n (-.f64 n m)))) (*.f64 1/2 K))
(.f64 (/.f64 (.f64 1/2 K) (fma.f64 m m (*.f64 n (-.f64 n m)))) (+.f64 (pow.f64 m 3) (pow.f64 n 3)))
(/.f64 (/.f64 (.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3)) (.f64 K 1/2)) (sqrt.f64 (fma.f64 m m (.f64 n (-.f64 n m))))) (sqrt.f64 (fma.f64 m m (.f64 n (-.f64 n m)))))
(/.f64 (.f64 1/2 (.f64 K (+.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 (.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3)) (.f64 K 1/2)) (.f64 (cbrt.f64 (fma.f64 m m (.f64 n (-.f64 n m)))) (cbrt.f64 (fma.f64 m m (.f64 n (-.f64 n m)))))) (cbrt.f64 (fma.f64 m m (.f64 n (-.f64 n m)))))
(/.f64 (.f64 1/2 (.f64 K (+.f64 (pow.f64 m 3) (pow.f64 n 3)))) (.f64 (cbrt.f64 (fma.f64 m m (.f64 n (-.f64 n m)))) (.f64 (cbrt.f64 (fma.f64 m m (.f64 n (-.f64 n m)))) (cbrt.f64 (fma.f64 m m (*.f64 n (-.f64 n m)))))))
(sqrt.f64 (pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 2))
(sqrt.f64 (pow.f64 (.f64 K (.f64 1/2 (+.f64 n m))) 2))
(sqrt.f64 (pow.f64 (.f64 1/2 (.f64 K (+.f64 n m))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/2) K) (+.f64 m n)))
(*.f64 (+.f64 n m) (log.f64 (pow.f64 (exp.f64 1/2) K)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))))
(.f64 K (.f64 1/2 (+.f64 n m)))
(.f64 1/2 (.f64 K (+.f64 n m)))
(cbrt.f64 (pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 3))
(.f64 K (.f64 1/2 (+.f64 n m)))
(.f64 1/2 (.f64 K (+.f64 n m)))
(expm1.f64 (log1p.f64 (.f64 (+.f64 m n) (.f64 K 1/2))))
(.f64 K (.f64 1/2 (+.f64 n m)))
(.f64 1/2 (.f64 K (+.f64 n m)))
(exp.f64 (log.f64 (.f64 (+.f64 m n) (.f64 K 1/2))))
(.f64 K (.f64 1/2 (+.f64 n m)))
(.f64 1/2 (.f64 K (+.f64 n m)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))) 1))
(.f64 K (.f64 1/2 (+.f64 n m)))
(.f64 1/2 (.f64 K (+.f64 n m)))
(log1p.f64 (expm1.f64 (.f64 (+.f64 m n) (.f64 K 1/2))))
(.f64 K (.f64 1/2 (+.f64 n m)))
(.f64 1/2 (.f64 K (+.f64 n m)))

eval1.4s (8.5%)

Compiler: Compiled 79710 to 36266 computations (54.5% saved)

prune878.0ms (5.4%)

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	1367	24	1391
Fresh	5	6	11
Picked	1	0	1
Done	4	0	4
Total	1377	30	1407

Error

2.28%

Counts

1407 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	52.89%	(pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)) (exp.f64 (-.f64 l (.f64 M M))))) 3)
	70.54%	(/.f64 (+.f64 1 (.f64 -1/2 (.f64 M M))) (exp.f64 l))
	42.97%	(.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m)))) (exp.f64 (-.f64 (neg.f64 l) (*.f64 M M))))
	42.74%	(.f64 (log.f64 (exp.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))) (exp.f64 (-.f64 (neg.f64 l) (.f64 M M))))
	82.07%	(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (cos.f64 (.f64 K (*.f64 1/2 (+.f64 n m)))))
	70.75%	(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 (+.f64 n m) (*.f64 1/2 K))))
	54.19%	(.f64 (cos.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) 2) 1/3) (cbrt.f64 (cbrt.f64 (.f64 (+.f64 m n) (.f64 K 1/2))))) 3) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (*.f64 M M))))
	51.88%	(.f64 (cos.f64 (-.f64 (pow.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 (.f64 K m))) 3) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
	76.03%	(.f64 (cos.f64 (-.f64 (pow.f64 (exp.f64 (.f64 (log.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) 1/3)) 3) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (*.f64 M M))))
	42.78%	(.f64 (cos.f64 (-.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) 3) M)) (exp.f64 (-.f64 (neg.f64 l) (.f64 M M))))
	63.14%	(.f64 (cos.f64 (-.f64 (pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (.f64 (+.f64 m n) (.f64 K 1/2))))) 3) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
▶	72.96%	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 (+.f64 n m) (.f64 K (.f64 (.f64 1/2 (+.f64 n m)) (-.f64 m n)))) (-.f64 (.f64 m m) (.f64 n n))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
	61.94%	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 K 1/2) (pow.f64 (cbrt.f64 (+.f64 m n)) 2)) (cbrt.f64 (-.f64 (.f64 m m) (.f64 n n)))) (cbrt.f64 (-.f64 m n))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (*.f64 M M))))
	46.08%	(.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 (*.f64 m m) 1/4))))
	39.1%	(.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (exp.f64 (-.f64 (neg.f64 l) (.f64 M M))))
	78.43%	(.f64 (cos.f64 (-.f64 (exp.f64 (+.f64 (log.f64 K) (log.f64 (.f64 1/2 (+.f64 n m))))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	68.74%	(.f64 (cos.f64 (-.f64 (exp.f64 (log.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))) M)) (exp.f64 (-.f64 (neg.f64 l) (.f64 M M))))
	93.98%	(*.f64 (cos.f64 M) (-.f64 1 l))
▶	43.26%	(.f64 (cos.f64 M) (exp.f64 (.f64 (*.f64 m m) -1/4)))
	46.29%	(.f64 (cos.f64 M) (exp.f64 (.f64 n (*.f64 n -1/4))))
	43.53%	(.f64 (cos.f64 M) (exp.f64 (neg.f64 (.f64 M M))))
	78.3%	(*.f64 (cos.f64 M) (exp.f64 l))
	52.92%	(fabs.f64 (.f64 (exp.f64 (-.f64 l (.f64 M M))) (cos.f64 (-.f64 (.f64 K (.f64 1/2 (+.f64 n m))) M))))
	25.37%	(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)) M)) (exp.f64 (-.f64 m (+.f64 n (fma.f64 M M l))))))) 3))
▶	25.22%	(expm1.f64 (log1p.f64 (.f64 (log.f64 (exp.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))) (exp.f64 (-.f64 (-.f64 m n) (+.f64 l (.f64 M M)))))))
	39.9%	(expm1.f64 (log1p.f64 (.f64 (exp.f64 (-.f64 (-.f64 m n) l)) (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))))))
▶	5.4%	(expm1.f64 (log1p.f64 (.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 m n) (+.f64 l (.f64 M M)))))))
	63.85%	(exp.f64 (neg.f64 l))
▶	93.59%	(cos.f64 M)
	25.26%	(cbrt.f64 (pow.f64 (.f64 (cos.f64 (-.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) 3) M)) (exp.f64 (-.f64 (-.f64 m n) (+.f64 l (.f64 M M))))) 3))

Compiler

Compiled 1466 to 1042 computations (28.9% saved)

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 l (*.f64 M M))
✓	0.01%	(.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 m n) (+.f64 l (.f64 M M)))))
✓	0.01%	(expm1.f64 (log1p.f64 (.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 m n) (+.f64 l (.f64 M M)))))))

Compiler

Compiled 83 to 14 computations (83.1% saved)

series7.0ms (0%)

Counts

3 → 120

Calls

30 calls:

Time	Variable		Point	Expression
1.0ms	M	@	0	(expm1.f64 (log1p.f64 (.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 m n) (+.f64 l (.f64 M M)))))))
0.0ms	n	@	0	(expm1.f64 (log1p.f64 (.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 m n) (+.f64 l (.f64 M M)))))))
0.0ms	m	@	0	(expm1.f64 (log1p.f64 (.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 m n) (+.f64 l (.f64 M M)))))))
0.0ms	l	@	0	(expm1.f64 (log1p.f64 (.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 m n) (+.f64 l (.f64 M M)))))))
0.0ms	M	@	inf	(expm1.f64 (log1p.f64 (.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 m n) (+.f64 l (.f64 M M)))))))

rewrite93.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1948×	`associate-*l/`
670×	`associate-+l+`
408×	`+-commutative`
402×	`associate-+r+`
354×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	91
1	346	79
2	4671	79

Stop Event

1×	node limit

Counts

3 → 133

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 m n) (+.f64 l (.f64 M M)))))))
(.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 m n) (+.f64 l (.f64 M M)))))
(+.f64 l (*.f64 M M))

Outputs

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

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

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

simplify124.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1350×	`associate-*r/`
1080×	`associate-*l/`
1032×	`associate-/l*`
818×	`associate-/r*`
744×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	377	11071
1	1065	10281
2	4036	10277

Stop Event

1×	node limit

Counts

253 → 198

Calls

Call 1

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

Outputs
(exp.f64 (-.f64 m (+.f64 n l)))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (exp.f64 (-.f64 m (+.f64 n l)))) (*.f64 -1 (exp.f64 (-.f64 m (+.f64 n l))))) (pow.f64 M 2)) (exp.f64 (-.f64 m (+.f64 n l))))
(fma.f64 (.f64 (exp.f64 (-.f64 m (+.f64 n l))) -3/2) (.f64 M M) (exp.f64 (-.f64 m (+.f64 n l))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (exp.f64 (-.f64 m (+.f64 n l)))) (.f64 -1 (exp.f64 (-.f64 m (+.f64 n l))))) (pow.f64 M 2)) (+.f64 (exp.f64 (-.f64 m (+.f64 n l))) (.f64 (+.f64 (*.f64 1/24 (exp.f64 (-.f64 m (+.f64 n l)))) (exp.f64 (-.f64 m (+.f64 n l)))) (pow.f64 M 4))))
(+.f64 (fma.f64 (.f64 (exp.f64 (-.f64 m (+.f64 n l))) -3/2) (.f64 M M) (exp.f64 (-.f64 m (+.f64 n l)))) (.f64 (.f64 25/24 (exp.f64 (-.f64 m (+.f64 n l)))) (pow.f64 M 4)))
(fma.f64 (.f64 (exp.f64 (-.f64 m (+.f64 n l))) -3/2) (.f64 M M) (fma.f64 (*.f64 (exp.f64 (-.f64 m (+.f64 n l))) 25/24) (pow.f64 M 4) (exp.f64 (-.f64 m (+.f64 n l)))))
(+.f64 (.f64 (+.f64 (.f64 -1/2 (exp.f64 (-.f64 m (+.f64 n l)))) (.f64 -1 (exp.f64 (-.f64 m (+.f64 n l))))) (pow.f64 M 2)) (+.f64 (.f64 (+.f64 (.f64 -1/24 (exp.f64 (-.f64 m (+.f64 n l)))) (+.f64 (.f64 -1/6 (exp.f64 (-.f64 m (+.f64 n l)))) (+.f64 (.f64 -1/4 (exp.f64 (-.f64 m (+.f64 n l)))) (.f64 -1/720 (exp.f64 (-.f64 m (+.f64 n l))))))) (pow.f64 M 6)) (+.f64 (exp.f64 (-.f64 m (+.f64 n l))) (.f64 (+.f64 (.f64 1/24 (exp.f64 (-.f64 m (+.f64 n l)))) (exp.f64 (-.f64 m (+.f64 n l)))) (pow.f64 M 4)))))
(fma.f64 (.f64 (exp.f64 (-.f64 m (+.f64 n l))) -3/2) (.f64 M M) (fma.f64 (fma.f64 -1/24 (exp.f64 (-.f64 m (+.f64 n l))) (fma.f64 -1/6 (exp.f64 (-.f64 m (+.f64 n l))) (.f64 (exp.f64 (-.f64 m (+.f64 n l))) -181/720))) (pow.f64 M 6) (+.f64 (exp.f64 (-.f64 m (+.f64 n l))) (.f64 (*.f64 25/24 (exp.f64 (-.f64 m (+.f64 n l)))) (pow.f64 M 4)))))
(fma.f64 (.f64 (exp.f64 (-.f64 m (+.f64 n l))) -3/2) (.f64 M M) (fma.f64 (fma.f64 (exp.f64 (-.f64 m (+.f64 n l))) -1/24 (.f64 (exp.f64 (-.f64 m (+.f64 n l))) -301/720)) (pow.f64 M 6) (fma.f64 (.f64 (exp.f64 (-.f64 m (+.f64 n l))) 25/24) (pow.f64 M 4) (exp.f64 (-.f64 m (+.f64 n l))))))
(*.f64 (exp.f64 (-.f64 m (+.f64 n (+.f64 l (pow.f64 M 2))))) (cos.f64 M))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 m n) (fma.f64 M M l))))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 m (+.f64 n (fma.f64 M M l)))))
(*.f64 (exp.f64 (-.f64 m (+.f64 n (+.f64 l (pow.f64 M 2))))) (cos.f64 M))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 m n) (fma.f64 M M l))))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 m (+.f64 n (fma.f64 M M l)))))
(*.f64 (exp.f64 (-.f64 m (+.f64 n (+.f64 l (pow.f64 M 2))))) (cos.f64 M))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 m n) (fma.f64 M M l))))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 m (+.f64 n (fma.f64 M M l)))))
(*.f64 (exp.f64 (-.f64 m (+.f64 n (+.f64 l (pow.f64 M 2))))) (cos.f64 M))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 m n) (fma.f64 M M l))))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 m (+.f64 n (fma.f64 M M l)))))
(*.f64 (exp.f64 (-.f64 m (+.f64 n (+.f64 l (pow.f64 M 2))))) (cos.f64 M))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 m n) (fma.f64 M M l))))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 m (+.f64 n (fma.f64 M M l)))))
(*.f64 (exp.f64 (-.f64 m (+.f64 n (+.f64 l (pow.f64 M 2))))) (cos.f64 M))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 m n) (fma.f64 M M l))))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 m (+.f64 n (fma.f64 M M l)))))
(*.f64 (exp.f64 (-.f64 m (+.f64 n (+.f64 l (pow.f64 M 2))))) (cos.f64 M))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 m n) (fma.f64 M M l))))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 m (+.f64 n (fma.f64 M M l)))))
(*.f64 (exp.f64 (-.f64 m (+.f64 n (+.f64 l (pow.f64 M 2))))) (cos.f64 M))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 m n) (fma.f64 M M l))))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 m (+.f64 n (fma.f64 M M l)))))
(*.f64 (exp.f64 (neg.f64 (+.f64 n (+.f64 l (pow.f64 M 2))))) (cos.f64 M))
(*.f64 (cos.f64 M) (exp.f64 (neg.f64 (+.f64 n (fma.f64 M M l)))))
(/.f64 (cos.f64 M) (exp.f64 (+.f64 n (fma.f64 M M l))))
(+.f64 (.f64 (exp.f64 (neg.f64 (+.f64 n (+.f64 l (pow.f64 M 2))))) (cos.f64 M)) (.f64 (exp.f64 (neg.f64 (+.f64 n (+.f64 l (pow.f64 M 2))))) (*.f64 m (cos.f64 M))))
(.f64 (exp.f64 (neg.f64 (+.f64 n (fma.f64 M M l)))) (+.f64 (cos.f64 M) (.f64 m (cos.f64 M))))
(.f64 (exp.f64 (-.f64 (neg.f64 n) (fma.f64 M M l))) (.f64 (+.f64 m 1) (cos.f64 M)))
(+.f64 (.f64 1/2 (.f64 (exp.f64 (neg.f64 (+.f64 n (+.f64 l (pow.f64 M 2))))) (.f64 (pow.f64 m 2) (cos.f64 M)))) (+.f64 (.f64 (exp.f64 (neg.f64 (+.f64 n (+.f64 l (pow.f64 M 2))))) (cos.f64 M)) (.f64 (exp.f64 (neg.f64 (+.f64 n (+.f64 l (pow.f64 M 2))))) (.f64 m (cos.f64 M)))))
(fma.f64 1/2 (.f64 (exp.f64 (neg.f64 (+.f64 n (fma.f64 M M l)))) (.f64 (cos.f64 M) (.f64 m m))) (.f64 (exp.f64 (neg.f64 (+.f64 n (fma.f64 M M l)))) (+.f64 (cos.f64 M) (*.f64 m (cos.f64 M)))))
(fma.f64 (exp.f64 (-.f64 (neg.f64 n) (fma.f64 M M l))) (.f64 (+.f64 m 1) (cos.f64 M)) (.f64 1/2 (.f64 (/.f64 (cos.f64 M) (exp.f64 (+.f64 n (fma.f64 M M l)))) (.f64 m m))))
(fma.f64 (exp.f64 (-.f64 (neg.f64 n) (fma.f64 M M l))) (.f64 (+.f64 m 1) (cos.f64 M)) (.f64 (/.f64 (.f64 1/2 (.f64 m m)) (exp.f64 (+.f64 n (fma.f64 M M l)))) (cos.f64 M)))
(+.f64 (.f64 1/2 (.f64 (exp.f64 (neg.f64 (+.f64 n (+.f64 l (pow.f64 M 2))))) (.f64 (pow.f64 m 2) (cos.f64 M)))) (+.f64 (.f64 (exp.f64 (neg.f64 (+.f64 n (+.f64 l (pow.f64 M 2))))) (cos.f64 M)) (+.f64 (.f64 (exp.f64 (neg.f64 (+.f64 n (+.f64 l (pow.f64 M 2))))) (.f64 m (cos.f64 M))) (.f64 1/6 (.f64 (exp.f64 (neg.f64 (+.f64 n (+.f64 l (pow.f64 M 2))))) (*.f64 (pow.f64 m 3) (cos.f64 M)))))))
(fma.f64 1/2 (.f64 (exp.f64 (neg.f64 (+.f64 n (fma.f64 M M l)))) (.f64 (cos.f64 M) (.f64 m m))) (+.f64 (.f64 (exp.f64 (neg.f64 (+.f64 n (fma.f64 M M l)))) (+.f64 (cos.f64 M) (.f64 m (cos.f64 M)))) (.f64 (.f64 1/6 (exp.f64 (neg.f64 (+.f64 n (fma.f64 M M l))))) (.f64 (cos.f64 M) (pow.f64 m 3)))))
(fma.f64 1/2 (.f64 (/.f64 (cos.f64 M) (exp.f64 (+.f64 n (fma.f64 M M l)))) (.f64 m m)) (fma.f64 (exp.f64 (-.f64 (neg.f64 n) (fma.f64 M M l))) (.f64 (+.f64 m 1) (cos.f64 M)) (.f64 1/6 (*.f64 (/.f64 (cos.f64 M) (exp.f64 (+.f64 n (fma.f64 M M l)))) (pow.f64 m 3)))))
(*.f64 (exp.f64 (-.f64 m (+.f64 n (+.f64 l (pow.f64 M 2))))) (cos.f64 M))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 m n) (fma.f64 M M l))))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 m (+.f64 n (fma.f64 M M l)))))
(*.f64 (exp.f64 (-.f64 m (+.f64 n (+.f64 l (pow.f64 M 2))))) (cos.f64 M))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 m n) (fma.f64 M M l))))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 m (+.f64 n (fma.f64 M M l)))))
(*.f64 (exp.f64 (-.f64 m (+.f64 n (+.f64 l (pow.f64 M 2))))) (cos.f64 M))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 m n) (fma.f64 M M l))))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 m (+.f64 n (fma.f64 M M l)))))
(*.f64 (exp.f64 (-.f64 m (+.f64 n (+.f64 l (pow.f64 M 2))))) (cos.f64 M))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 m n) (fma.f64 M M l))))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 m (+.f64 n (fma.f64 M M l)))))
(.f64 (exp.f64 (neg.f64 (+.f64 n (+.f64 (.f64 -1 m) (+.f64 l (pow.f64 M 2)))))) (cos.f64 M))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 m n) (fma.f64 M M l))))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 m (+.f64 n (fma.f64 M M l)))))
(.f64 (exp.f64 (neg.f64 (+.f64 n (+.f64 (.f64 -1 m) (+.f64 l (pow.f64 M 2)))))) (cos.f64 M))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 m n) (fma.f64 M M l))))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 m (+.f64 n (fma.f64 M M l)))))
(.f64 (exp.f64 (neg.f64 (+.f64 n (+.f64 (.f64 -1 m) (+.f64 l (pow.f64 M 2)))))) (cos.f64 M))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 m n) (fma.f64 M M l))))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 m (+.f64 n (fma.f64 M M l)))))
(.f64 (exp.f64 (neg.f64 (+.f64 n (+.f64 (.f64 -1 m) (+.f64 l (pow.f64 M 2)))))) (cos.f64 M))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 m n) (fma.f64 M M l))))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 m (+.f64 n (fma.f64 M M l)))))
(*.f64 (exp.f64 (-.f64 m (+.f64 l (pow.f64 M 2)))) (cos.f64 M))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 m (fma.f64 M M l))))
(+.f64 (.f64 -1 (.f64 n (.f64 (exp.f64 (-.f64 m (+.f64 l (pow.f64 M 2)))) (cos.f64 M)))) (.f64 (exp.f64 (-.f64 m (+.f64 l (pow.f64 M 2)))) (cos.f64 M)))
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(.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 M 6) (pow.f64 l 3))) (cbrt.f64 (-.f64 (fma.f64 l l (pow.f64 M 4)) (.f64 l (*.f64 M M))))) (pow.f64 (cbrt.f64 (fma.f64 M M l)) 2))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 M M l)) 2) (/.f64 (cbrt.f64 (-.f64 (fma.f64 l l (pow.f64 M 4)) (.f64 l (.f64 M M)))) (cbrt.f64 (+.f64 (pow.f64 M 6) (pow.f64 l 3)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 l l) (.f64 l l)) (.f64 (pow.f64 M 4) (pow.f64 M 4))) (/.f64 1 (-.f64 l (.f64 M M)))) (+.f64 (*.f64 l l) (pow.f64 M 4)))
(/.f64 (-.f64 (.f64 l (pow.f64 l 3)) (pow.f64 M 8)) (/.f64 (fma.f64 l l (pow.f64 M 4)) (/.f64 1 (-.f64 l (.f64 M M)))))
(/.f64 (-.f64 (pow.f64 l 4) (pow.f64 M 8)) (.f64 (fma.f64 l l (pow.f64 M 4)) (-.f64 l (.f64 M M))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 l l) 3) (pow.f64 (pow.f64 M 4) 3)) (/.f64 1 (-.f64 l (.f64 M M)))) (+.f64 (.f64 (.f64 l l) (.f64 l l)) (+.f64 (.f64 (pow.f64 M 4) (pow.f64 M 4)) (.f64 (*.f64 l l) (pow.f64 M 4)))))
(/.f64 (.f64 (/.f64 1 (-.f64 l (.f64 M M))) (-.f64 (pow.f64 l 6) (pow.f64 (pow.f64 M 4) 3))) (+.f64 (.f64 l (pow.f64 l 3)) (.f64 (pow.f64 M 4) (fma.f64 l l (pow.f64 M 4)))))
(/.f64 (/.f64 (-.f64 (pow.f64 l 6) (pow.f64 (pow.f64 M 4) 3)) (-.f64 l (*.f64 M M))) (fma.f64 (pow.f64 M 4) (fma.f64 l l (pow.f64 M 4)) (pow.f64 l 4)))
(/.f64 (-.f64 (pow.f64 l 6) (pow.f64 (pow.f64 M 4) 3)) (.f64 (fma.f64 (pow.f64 M 4) (fma.f64 l l (pow.f64 M 4)) (pow.f64 l 4)) (-.f64 l (.f64 M M))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 l 3) (pow.f64 l 3)) (.f64 (pow.f64 M 6) (pow.f64 M 6))) (/.f64 1 (fma.f64 l l (-.f64 (pow.f64 M 4) (.f64 l (*.f64 M M)))))) (-.f64 (pow.f64 l 3) (pow.f64 M 6)))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 l 6) (pow.f64 M 12)) 1) (fma.f64 l l (-.f64 (pow.f64 M 4) (.f64 l (*.f64 M M))))) (-.f64 (pow.f64 l 3) (pow.f64 M 6)))
(/.f64 (-.f64 (pow.f64 l 6) (pow.f64 M 12)) (.f64 (-.f64 (pow.f64 l 3) (pow.f64 M 6)) (-.f64 (fma.f64 l l (pow.f64 M 4)) (.f64 l (*.f64 M M)))))
(/.f64 (/.f64 (-.f64 (pow.f64 l 6) (pow.f64 M 12)) (-.f64 (fma.f64 l l (pow.f64 M 4)) (.f64 l (.f64 M M)))) (-.f64 (pow.f64 l 3) (pow.f64 M 6)))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 l 3) 3) (pow.f64 (pow.f64 M 6) 3)) (/.f64 1 (fma.f64 l l (-.f64 (pow.f64 M 4) (.f64 l (.f64 M M)))))) (+.f64 (.f64 (pow.f64 l 3) (pow.f64 l 3)) (-.f64 (.f64 (pow.f64 M 6) (pow.f64 M 6)) (.f64 (pow.f64 l 3) (pow.f64 M 6)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 l 3) 3) (pow.f64 (pow.f64 M 6) 3)) (/.f64 (-.f64 (+.f64 (pow.f64 l 6) (pow.f64 M 12)) (.f64 (pow.f64 M 6) (pow.f64 l 3))) (/.f64 1 (fma.f64 l l (-.f64 (pow.f64 M 4) (.f64 l (*.f64 M M)))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 l 3) 3) (pow.f64 (pow.f64 M 6) 3)) (.f64 (fma.f64 (pow.f64 M 6) (-.f64 (pow.f64 M 6) (pow.f64 l 3)) (pow.f64 l 6)) (-.f64 (fma.f64 l l (pow.f64 M 4)) (.f64 l (*.f64 M M)))))
(pow.f64 (fma.f64 M M l) 1)
(fma.f64 M M l)
(pow.f64 (hypot.f64 M (sqrt.f64 l)) 2)
(pow.f64 (cbrt.f64 (fma.f64 M M l)) 3)
(fma.f64 M M l)
(pow.f64 (pow.f64 (fma.f64 M M l) 3) 1/3)
(fma.f64 M M l)
(sqrt.f64 (pow.f64 (fma.f64 M M l) 2))
(fabs.f64 (fma.f64 M M l))
(log.f64 (exp.f64 (fma.f64 M M l)))
(fma.f64 M M l)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 M M l))))
(fma.f64 M M l)
(cbrt.f64 (pow.f64 (fma.f64 M M l) 3))
(fma.f64 M M l)
(expm1.f64 (log1p.f64 (fma.f64 M M l)))
(fma.f64 M M l)
(exp.f64 (log.f64 (fma.f64 M M l)))
(fma.f64 M M l)
(exp.f64 (*.f64 (log.f64 (fma.f64 M M l)) 1))
(fma.f64 M M l)
(log1p.f64 (expm1.f64 (fma.f64 M M l)))
(fma.f64 M M l)
(fma.f64 M M l)
(fma.f64 1 l (*.f64 M M))
(fma.f64 M M l)
(fma.f64 1 (*.f64 M M) l)
(fma.f64 M M l)
(fma.f64 (sqrt.f64 l) (sqrt.f64 l) (*.f64 M M))
(fma.f64 M M l)
(fma.f64 (pow.f64 (cbrt.f64 l) 2) (cbrt.f64 l) (*.f64 M M))
(fma.f64 M M l)
(fma.f64 (cbrt.f64 (pow.f64 M 4)) (pow.f64 (cbrt.f64 M) 2) l)

localize17.0ms (0.1%)

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

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.01%	(exp.f64 (.f64 (.f64 m m) -1/4))

Compiler

Compiled 33 to 17 computations (48.5% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite54.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1370×	`add-sqr-sqrt`
1346×	`*-un-lft-identity`
1256×	`add-cube-cbrt`
1244×	`add-cbrt-cube`
1230×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	158	17
2	1793	17

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (*.f64 m (*.f64 m -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/8) (pow.f64 (pow.f64 (exp.f64 m) m) -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/2)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/8) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 m) m) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1/4) (*.f64 m m))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 m) (*.f64 m -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (*.f64 m (*.f64 m -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (*.f64 (pow.f64 m 4) 1/16))) (cbrt.f64 (*.f64 m (*.f64 m -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (*.f64 m (sqrt.f64 -1/4))) (*.f64 m (sqrt.f64 -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4)))))))

simplify59.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

964×	`associate-r`
888×	`associate-/l*`
858×	`associate-+r+`
816×	`associate-+l+`
746×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	75	650
1	171	646
2	562	642
3	2504	642
4	5114	642

Stop Event

1×	node limit

Counts

34 → 43

Calls

Call 1

Inputs
1
(+.f64 (*.f64 -1/4 (pow.f64 m 2)) 1)
(+.f64 (.f64 -1/4 (pow.f64 m 2)) (+.f64 1 (.f64 1/32 (pow.f64 m 4))))
(+.f64 (.f64 -1/4 (pow.f64 m 2)) (+.f64 1 (+.f64 (.f64 -1/384 (pow.f64 m 6)) (*.f64 1/32 (pow.f64 m 4)))))
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(+.f64 1 (expm1.f64 (.f64 m (.f64 m -1/4))))
(-.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4)) 1)
(*.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4) 1)
(*.f64 1 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4))
(*.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/8) (pow.f64 (pow.f64 (exp.f64 m) m) -1/8))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/2)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4)))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4) 1)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/8) 2)
(pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4)) 3)
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4) 3) 1/3)
(pow.f64 (pow.f64 (exp.f64 m) m) -1/4)
(pow.f64 (exp.f64 -1/4) (*.f64 m m))
(pow.f64 (exp.f64 m) (*.f64 m -1/4))
(pow.f64 (exp.f64 1) (.f64 m (.f64 m -1/4)))
(pow.f64 (exp.f64 (cbrt.f64 (.f64 (pow.f64 m 4) 1/16))) (cbrt.f64 (.f64 m (*.f64 m -1/4))))
(pow.f64 (exp.f64 (.f64 m (sqrt.f64 -1/4))) (.f64 m (sqrt.f64 -1/4)))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/2))
(log.f64 (exp.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4)))
(cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4) 3))
(expm1.f64 (log1p.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4)))
(log1p.f64 (expm1.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4)))

Outputs
1
(+.f64 (*.f64 -1/4 (pow.f64 m 2)) 1)
(fma.f64 -1/4 (*.f64 m m) 1)
(+.f64 (.f64 -1/4 (pow.f64 m 2)) (+.f64 1 (.f64 1/32 (pow.f64 m 4))))
(fma.f64 -1/4 (.f64 m m) (+.f64 1 (.f64 1/32 (pow.f64 m 4))))
(fma.f64 -1/4 (*.f64 m m) (fma.f64 1/32 (pow.f64 m 4) 1))
(fma.f64 (.f64 m m) (fma.f64 m (.f64 m 1/32) -1/4) 1)
(+.f64 (.f64 -1/4 (pow.f64 m 2)) (+.f64 1 (+.f64 (.f64 -1/384 (pow.f64 m 6)) (*.f64 1/32 (pow.f64 m 4)))))
(+.f64 (fma.f64 -1/4 (.f64 m m) 1) (fma.f64 -1/384 (pow.f64 m 6) (.f64 1/32 (pow.f64 m 4))))
(+.f64 (fma.f64 -1/4 (.f64 m m) 1) (fma.f64 1/32 (pow.f64 m 4) (.f64 -1/384 (pow.f64 m 6))))
(fma.f64 -1/4 (*.f64 m m) (fma.f64 1/32 (pow.f64 m 4) (fma.f64 -1/384 (pow.f64 m 6) 1)))
(fma.f64 (.f64 m m) (fma.f64 m (.f64 m 1/32) -1/4) (fma.f64 -1/384 (pow.f64 m 6) 1))
(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 (exp.f64 (*.f64 m m)) -1/4)
(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 (exp.f64 (*.f64 m m)) -1/4)
(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 (exp.f64 (*.f64 m m)) -1/4)
(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 (exp.f64 (*.f64 m m)) -1/4)
(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 (exp.f64 (*.f64 m m)) -1/4)
(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 (exp.f64 (*.f64 m m)) -1/4)
(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 (exp.f64 (*.f64 m m)) -1/4)
(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 (exp.f64 (*.f64 m m)) -1/4)
(+.f64 1 (expm1.f64 (.f64 m (.f64 m -1/4))))
(pow.f64 (exp.f64 -1/4) (*.f64 m m))
(pow.f64 (exp.f64 m) (*.f64 -1/4 m))
(pow.f64 (exp.f64 (*.f64 m m)) -1/4)
(-.f64 (+.f64 1 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4)) 1)
(pow.f64 (exp.f64 -1/4) (*.f64 m m))
(pow.f64 (exp.f64 m) (*.f64 -1/4 m))
(pow.f64 (exp.f64 (*.f64 m m)) -1/4)
(*.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4) 1)
(pow.f64 (exp.f64 -1/4) (*.f64 m m))
(pow.f64 (exp.f64 m) (*.f64 -1/4 m))
(pow.f64 (exp.f64 (*.f64 m m)) -1/4)
(*.f64 1 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4))
(pow.f64 (exp.f64 -1/4) (*.f64 m m))
(pow.f64 (exp.f64 m) (*.f64 -1/4 m))
(pow.f64 (exp.f64 (*.f64 m m)) -1/4)
(*.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/8) (pow.f64 (pow.f64 (exp.f64 m) m) -1/8))
(pow.f64 (exp.f64 -1/4) (*.f64 m m))
(pow.f64 (exp.f64 m) (*.f64 -1/4 m))
(pow.f64 (exp.f64 (*.f64 m m)) -1/4)
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/2)))
(pow.f64 (exp.f64 -1/4) (*.f64 m m))
(pow.f64 (exp.f64 m) (*.f64 -1/4 m))
(pow.f64 (exp.f64 (*.f64 m m)) -1/4)
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/2)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4)))
(pow.f64 (exp.f64 -1/4) (*.f64 m m))
(pow.f64 (exp.f64 m) (*.f64 -1/4 m))
(pow.f64 (exp.f64 (*.f64 m m)) -1/4)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4) 1)
(pow.f64 (exp.f64 -1/4) (*.f64 m m))
(pow.f64 (exp.f64 m) (*.f64 -1/4 m))
(pow.f64 (exp.f64 (*.f64 m m)) -1/4)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/8) 2)
(pow.f64 (exp.f64 -1/4) (*.f64 m m))
(pow.f64 (exp.f64 m) (*.f64 -1/4 m))
(pow.f64 (exp.f64 (*.f64 m m)) -1/4)
(pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4)) 3)
(pow.f64 (exp.f64 -1/4) (*.f64 m m))
(pow.f64 (exp.f64 m) (*.f64 -1/4 m))
(pow.f64 (exp.f64 (*.f64 m m)) -1/4)
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4) 3) 1/3)
(pow.f64 (exp.f64 -1/4) (*.f64 m m))
(pow.f64 (exp.f64 m) (*.f64 -1/4 m))
(pow.f64 (exp.f64 (*.f64 m m)) -1/4)
(pow.f64 (pow.f64 (exp.f64 m) m) -1/4)
(pow.f64 (exp.f64 -1/4) (*.f64 m m))
(pow.f64 (exp.f64 m) (*.f64 -1/4 m))
(pow.f64 (exp.f64 (*.f64 m m)) -1/4)
(pow.f64 (exp.f64 -1/4) (*.f64 m m))
(pow.f64 (exp.f64 m) (*.f64 -1/4 m))
(pow.f64 (exp.f64 (*.f64 m m)) -1/4)
(pow.f64 (exp.f64 m) (*.f64 m -1/4))
(pow.f64 (exp.f64 -1/4) (*.f64 m m))
(pow.f64 (exp.f64 m) (*.f64 -1/4 m))
(pow.f64 (exp.f64 (*.f64 m m)) -1/4)
(pow.f64 (exp.f64 1) (.f64 m (.f64 m -1/4)))
(pow.f64 (E.f64) (.f64 -1/4 (.f64 m m)))
(pow.f64 (E.f64) (.f64 m (.f64 -1/4 m)))
(pow.f64 (exp.f64 (cbrt.f64 (.f64 (pow.f64 m 4) 1/16))) (cbrt.f64 (.f64 m (*.f64 m -1/4))))
(pow.f64 (exp.f64 (cbrt.f64 (.f64 (pow.f64 m 4) 1/16))) (cbrt.f64 (.f64 -1/4 (*.f64 m m))))
(pow.f64 (exp.f64 (cbrt.f64 (.f64 (pow.f64 m 4) 1/16))) (cbrt.f64 (.f64 m (*.f64 -1/4 m))))
(pow.f64 (exp.f64 (.f64 m (sqrt.f64 -1/4))) (.f64 m (sqrt.f64 -1/4)))
(pow.f64 (pow.f64 (exp.f64 m) (sqrt.f64 -1/4)) (*.f64 m (sqrt.f64 -1/4)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 -1/4)) m) (*.f64 m (sqrt.f64 -1/4)))
(sqrt.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/2))
(pow.f64 (exp.f64 -1/4) (*.f64 m m))
(pow.f64 (exp.f64 m) (*.f64 -1/4 m))
(pow.f64 (exp.f64 (*.f64 m m)) -1/4)
(log.f64 (exp.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4)))
(pow.f64 (exp.f64 -1/4) (*.f64 m m))
(pow.f64 (exp.f64 m) (*.f64 -1/4 m))
(pow.f64 (exp.f64 (*.f64 m m)) -1/4)
(cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4) 3))
(pow.f64 (exp.f64 -1/4) (*.f64 m m))
(pow.f64 (exp.f64 m) (*.f64 -1/4 m))
(pow.f64 (exp.f64 (*.f64 m m)) -1/4)
(expm1.f64 (log1p.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4)))
(pow.f64 (exp.f64 -1/4) (*.f64 m m))
(pow.f64 (exp.f64 m) (*.f64 -1/4 m))
(pow.f64 (exp.f64 (*.f64 m m)) -1/4)
(log1p.f64 (expm1.f64 (pow.f64 (pow.f64 (exp.f64 m) m) -1/4)))
(pow.f64 (exp.f64 -1/4) (*.f64 m m))
(pow.f64 (exp.f64 m) (*.f64 -1/4 m))
(pow.f64 (exp.f64 (*.f64 m m)) -1/4)

localize53.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	5.47%	(-.f64 (.f64 m m) (.f64 n n))
✓	12.29%	(.f64 K (.f64 (*.f64 1/2 (+.f64 n m)) (-.f64 m n)))
✓	52.43%	(cos.f64 (-.f64 (/.f64 (.f64 (+.f64 n m) (.f64 K (.f64 (.f64 1/2 (+.f64 n m)) (-.f64 m n)))) (-.f64 (.f64 m m) (.f64 n n))) M))
✓	61.95%	(/.f64 (.f64 (+.f64 n m) (.f64 K (.f64 (.f64 1/2 (+.f64 n m)) (-.f64 m n)))) (-.f64 (.f64 m m) (.f64 n n)))

Compiler

Compiled 216 to 60 computations (72.2% saved)

series21.0ms (0.1%)

Counts

4 → 144

Calls

36 calls:

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

rewrite134.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

634×	`associate-+l+`
500×	`+-commutative`
500×	`add-sqr-sqrt`
492×	`pow1`
492×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	194
1	467	146
2	7226	146

Stop Event

1×	node limit

Counts

4 → 232

Calls

Call 1

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

Outputs
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simplify196.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1146×	`*-commutative`
1030×	`associate-/l*`
1008×	`associate-/r*`
796×	`distribute-lft-in`
772×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	865	22630
1	2931	22540

Stop Event

1×	node limit

Counts

376 → 480

Calls

Call 1

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

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

localize76.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.02%	(.f64 (+.f64 m n) (.f64 K 1/2))
✓	0.15%	(exp.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))
✓	0.94%	(log.f64 (exp.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))))
	52.16%	(cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))

Compiler

Compiled 168 to 66 computations (60.7% saved)

series6.0ms (0%)

Counts

2 → 96

Calls

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

rewrite82.0ms (0.5%)

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	62
1	317	62
2	4068	62

Stop Event

1×	node limit

Counts

2 → 65

Calls

Call 1

Inputs
(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

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

simplify161.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1456×	`unswap-sqr`
984×	`associate-r`
828×	`associate-+r+`
794×	`associate-+l+`
644×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	368	10151
1	1084	9757
2	4222	9275

Stop Event

1×	node limit

Counts

161 → 212

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)))))
(exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)))
(+.f64 (.f64 -1/2 (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 (exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))) m)))) (exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))))
(+.f64 (.f64 -1/2 (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 (exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))) m)))) (+.f64 (.f64 (exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))) (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)))) (.f64 1/8 (.f64 (pow.f64 K 2) (pow.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) 2)))) (pow.f64 m 2))) (exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)))))
(+.f64 (.f64 -1/2 (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 (exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))) m)))) (+.f64 (.f64 (exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))) (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)))) (.f64 1/8 (.f64 (pow.f64 K 2) (pow.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) 2)))) (pow.f64 m 2))) (+.f64 (exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))) (.f64 (exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))) (.f64 (+.f64 (.f64 1/16 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 (pow.f64 K 3) (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))))) (+.f64 (.f64 1/48 (.f64 (pow.f64 K 3) (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)))) (.f64 -1/48 (.f64 (pow.f64 K 3) (pow.f64 (sin.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M)) 3))))) (pow.f64 m 3))))))
(exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)))
(exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)))
(exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)))
(exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)))
(exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))) M)))
(exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))) M)))
(exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))) M)))
(exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))) M)))
(exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))
(+.f64 (exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))) (.f64 -1/2 (.f64 (exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))) (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))))))
(+.f64 (exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))) (+.f64 (.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 K 2) (pow.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 2))) (.f64 -1/8 (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (pow.f64 K 2)))) (.f64 (exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))) (pow.f64 n 2))) (.f64 -1/2 (.f64 (exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))) (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))))))
(+.f64 (exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))) (+.f64 (.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 K 2) (pow.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 2))) (.f64 -1/8 (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (pow.f64 K 2)))) (.f64 (exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))) (pow.f64 n 2))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))) (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))))) (.f64 (+.f64 (.f64 1/16 (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 (pow.f64 K 3) (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (+.f64 (.f64 1/48 (.f64 (pow.f64 K 3) (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))) (.f64 -1/48 (.f64 (pow.f64 K 3) (pow.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 3))))) (.f64 (exp.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M))) (pow.f64 n 3))))))
(exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)))
(exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)))
(exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)))
(exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)))
(exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) M)))
(exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) M)))
(exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) M)))
(exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) M)))
(exp.f64 (cos.f64 (neg.f64 M)))
(+.f64 (exp.f64 (cos.f64 (neg.f64 M))) (.f64 -1/2 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (.f64 (exp.f64 (cos.f64 (neg.f64 M))) (+.f64 n m))))))
(+.f64 (.f64 (pow.f64 K 2) (.f64 (exp.f64 (cos.f64 (neg.f64 M))) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (pow.f64 (+.f64 n m) 2))) (.f64 1/8 (.f64 (pow.f64 (sin.f64 (neg.f64 M)) 2) (pow.f64 (+.f64 n m) 2)))))) (+.f64 (exp.f64 (cos.f64 (neg.f64 M))) (.f64 -1/2 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (.f64 (exp.f64 (cos.f64 (neg.f64 M))) (+.f64 n m)))))))
(+.f64 (.f64 (pow.f64 K 2) (.f64 (exp.f64 (cos.f64 (neg.f64 M))) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (pow.f64 (+.f64 n m) 2))) (.f64 1/8 (.f64 (pow.f64 (sin.f64 (neg.f64 M)) 2) (pow.f64 (+.f64 n m) 2)))))) (+.f64 (exp.f64 (cos.f64 (neg.f64 M))) (+.f64 (.f64 (pow.f64 K 3) (.f64 (exp.f64 (cos.f64 (neg.f64 M))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 (sin.f64 (neg.f64 M)) 3) (pow.f64 (+.f64 n m) 3))) (+.f64 (.f64 1/48 (.f64 (sin.f64 (neg.f64 M)) (pow.f64 (+.f64 n m) 3))) (.f64 1/16 (.f64 (cos.f64 (neg.f64 M)) (.f64 (sin.f64 (neg.f64 M)) (pow.f64 (+.f64 n m) 3)))))))) (.f64 -1/2 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (*.f64 (exp.f64 (cos.f64 (neg.f64 M))) (+.f64 n m))))))))
(exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)))
(exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)))
(exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)))
(exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)))
(exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)))
(exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)))
(exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)))
(exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)))
(exp.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))) M)) (exp.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))) M)) (+.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))) (.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))) (.f64 (+.f64 (.f64 -1/2 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))) (.f64 1/2 (pow.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) 2))) (pow.f64 M 2)))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))) M)) (+.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))) (+.f64 (.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))) (.f64 (+.f64 (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))))) (+.f64 (.f64 -1/6 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m))))) (.f64 1/6 (pow.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) 3)))) (pow.f64 M 3))) (.f64 (exp.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))) (.f64 (+.f64 (.f64 -1/2 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))) (.f64 1/2 (pow.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) 2))) (pow.f64 M 2))))))
(exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)))
(exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)))
(exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)))
(exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)))
(exp.f64 (cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))))
(exp.f64 (cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))))
(exp.f64 (cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))))
(exp.f64 (cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))))
(+.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)) 0)
(+.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 (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))))))
(+.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))))))
(+.f64 0 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))) 2)))
(+.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 (+.f64 0 (.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 0 (.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 0 (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))))))
(+.f64 (+.f64 0 (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))))))
(+.f64 (+.f64 0 (.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 1 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))))) (.f64 1 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))))))
(+.f64 (.f64 1 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))) 2))) (.f64 1 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))))))
(+.f64 (.f64 1 (.f64 (.f64 (cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (cos.f64 M)) 1)) (.f64 1 (.f64 (.f64 (sin.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (sin.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 (+.f64 0 (exp.f64 (log1p.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))))) 1)
(-.f64 (+.f64 0 (.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 2 (log.f64 (sqrt.f64 (exp.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))))))
(/.f64 (.f64 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 (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 1 (+.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))))))
(/.f64 (.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)))) 1) (-.f64 (.f64 (cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (cos.f64 M)) (.f64 (sin.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))) (sin.f64 M))))
(/.f64 (.f64 (+.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))))))
(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))
(cbrt.f64 (pow.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)) 3))
(cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))
(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 (exp.f64 (log1p.f64 (exp.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))))) 1)
(.f64 (exp.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)) M))) 1)
(.f64 1 (exp.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)) 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)))))
(.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))
(.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)))))
(.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))))
(pow.f64 (exp.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))) 1)
(pow.f64 (sqrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))) 3)
(pow.f64 (pow.f64 (exp.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))) 3) 1/3)
(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))))
(pow.f64 (exp.f64 1) (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 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))))
(sqrt.f64 (pow.f64 (exp.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))) 2))
(log.f64 (exp.f64 (exp.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))))
(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))))
(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 (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 -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))) (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 (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 -1/2 (.f64 (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)))
(+.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 (-.f64 (.f64 K (.f64 1/2 (+.f64 n 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))
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(exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)))
(exp.f64 (cos.f64 (-.f64 (.f64 K (.f64 1/2 (+.f64 n m))) 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 (-.f64 (.f64 K (.f64 1/2 (+.f64 n m))) 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 (-.f64 (.f64 K (.f64 1/2 (+.f64 n m))) M)))

eval559.0ms (3.4%)

Compiler: Compiled 45733 to 17248 computations (62.3% saved)

prune390.0ms (2.4%)

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	1032	8	1040
Fresh	5	20	25
Picked	1	0	1
Done	3	1	4
Total	1041	29	1070

Error

2.28%

Counts

1070 → 29

Alt Table

Click to see full alt table

Status	Error	Program
	36.89%	(fma.f64 (.f64 (exp.f64 (-.f64 m (+.f64 n l))) -3/2) (.f64 M M) (exp.f64 (-.f64 m (+.f64 n l))))
	52.89%	(pow.f64 (cbrt.f64 (.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)) (exp.f64 (-.f64 l (.f64 M M))))) 3)
	42.97%	(.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m)))) (exp.f64 (-.f64 (neg.f64 l) (*.f64 M M))))
	61.18%	(.f64 (sqrt.f64 (pow.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 (-.f64 m n) (.f64 (+.f64 m n) (.f64 1/2 (-.f64 m n))))) M)) 2)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
	42.74%	(.f64 (log.f64 (exp.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))) (exp.f64 (-.f64 (neg.f64 l) (.f64 M M))))
	20.37%	(.f64 (exp.f64 (-.f64 (neg.f64 n) (fma.f64 M M l))) (.f64 (+.f64 m 1) (cos.f64 M)))
	70.75%	(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 (+.f64 n m) (*.f64 1/2 K))))
	54.19%	(.f64 (cos.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) 2) 1/3) (cbrt.f64 (cbrt.f64 (.f64 (+.f64 m n) (.f64 K 1/2))))) 3) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (*.f64 M M))))
	76.03%	(.f64 (cos.f64 (-.f64 (pow.f64 (exp.f64 (.f64 (log.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) 1/3)) 3) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (*.f64 M M))))
	42.78%	(.f64 (cos.f64 (-.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) 3) M)) (exp.f64 (-.f64 (neg.f64 l) (.f64 M M))))
	63.14%	(.f64 (cos.f64 (-.f64 (pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (.f64 (+.f64 m n) (.f64 K 1/2))))) 3) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
	83.69%	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 (+.f64 n m) (.f64 K (.f64 (.f64 1/2 (+.f64 n m)) (-.f64 m n)))) (.f64 m m)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (*.f64 M M))))
	72.51%	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 (+.f64 n m) (.f64 1/2 (.f64 (.f64 K (+.f64 m n)) (-.f64 m n)))) (-.f64 (.f64 m m) (.f64 n n))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
	46.08%	(.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 (*.f64 m m) 1/4))))
	39.1%	(.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (exp.f64 (-.f64 (neg.f64 l) (.f64 M M))))
	78.43%	(.f64 (cos.f64 (-.f64 (exp.f64 (+.f64 (log.f64 K) (log.f64 (.f64 1/2 (+.f64 n m))))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	68.74%	(.f64 (cos.f64 (-.f64 (exp.f64 (log.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))) M)) (exp.f64 (-.f64 (neg.f64 l) (.f64 M M))))
	94.54%	(.f64 (cos.f64 M) (fma.f64 -1/4 (.f64 m m) 1))
	93.98%	(*.f64 (cos.f64 M) (-.f64 1 l))
	43.53%	(.f64 (cos.f64 M) (exp.f64 (neg.f64 (.f64 M M))))
	78.3%	(*.f64 (cos.f64 M) (exp.f64 l))
	52.92%	(fabs.f64 (.f64 (exp.f64 (-.f64 l (.f64 M M))) (cos.f64 (-.f64 (.f64 K (.f64 1/2 (+.f64 n m))) M))))
	25.37%	(expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)) M)) (exp.f64 (-.f64 m (+.f64 n (fma.f64 M M l))))))) 3))
	18.16%	(expm1.f64 (log1p.f64 (.f64 (log.f64 (exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)))) (exp.f64 (-.f64 (-.f64 m n) (+.f64 l (.f64 M M)))))))
	39.9%	(expm1.f64 (log1p.f64 (.f64 (exp.f64 (-.f64 (-.f64 m n) l)) (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))))))
	20.47%	(exp.f64 (-.f64 m (+.f64 n l)))
	63.85%	(exp.f64 (neg.f64 l))
✓	93.59%	(cos.f64 M)
	25.26%	(cbrt.f64 (pow.f64 (.f64 (cos.f64 (-.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) 3) M)) (exp.f64 (-.f64 (-.f64 m n) (+.f64 l (.f64 M M))))) 3))

Compiler

Compiled 719 to 499 computations (30.6% saved)

regimes315.0ms (1.9%)

Counts

62 → 1

Calls

Call 1

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

Calls

6 calls:

80.0ms	K
66.0ms	l
29.0ms	n
29.0ms	m
28.0ms	M

Results

Error	Segments	Branch
2.67%	1	`K`
2.67%	1	`m`
2.67%	1	`n`
2.67%	1	`M`
2.67%	1	`l`
2.67%	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 1464 to 648 computations (55.7% saved)

regimes169.0ms (1%)

Counts

28 → 2

Calls

Call 1

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

Outputs
(*.f64 (cos.f64 M) (exp.f64 l))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 m n) (+.f64 l (.f64 M M)))))))

Calls

5 calls:

60.0ms	M
35.0ms	K
25.0ms	l
24.0ms	n
15.0ms	m

Results

Error	Segments	Branch
3.76%	3	`K`
5.4%	1	`m`
3.44%	2	`n`
5.4%	1	`M`
2.66%	2	`l`

Compiler

Compiled 486 to 213 computations (56.2% saved)

bsearch11.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
10.0ms	-2.5258579079367828e+103	-5.825897918177869e+98

Results

7.0ms	32×	body	256	valid
2.0ms	9×	body	256	infinite
1.0ms	2×	body	1024	infinite

Compiler

Compiled 106 to 78 computations (26.4% saved)

regimes254.0ms (1.6%)

Counts

26 → 2

Calls

Call 1

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

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

Calls

5 calls:

84.0ms	n
58.0ms	K
47.0ms	l
34.0ms	M
23.0ms	m

Results

Error	Segments	Branch
6.79%	3	`K`
4.16%	2	`m`
6.06%	3	`n`
4.61%	3	`M`
8.85%	3	`l`

Compiler

Compiled 454 to 198 computations (56.4% saved)

bsearch29.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	-137894972189.52423	-8183844.958347122

Results

26.0ms	128×	body	256	valid
1.0ms	3×	body	256	infinite

Compiler

Compiled 330 to 246 computations (25.5% saved)

regimes110.0ms (0.7%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

5 calls:

25.0ms	m
24.0ms	n
21.0ms	K
21.0ms	M
15.0ms	l

Results

Error	Segments	Branch
18.48%	3	`K`
11.38%	3	`m`
10.51%	3	`n`
4.73%	3	`M`
11.48%	2	`l`

Compiler

Compiled 154 to 86 computations (44.2% saved)

bsearch62.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	predicate-same

Steps

Time	Left	Right
29.0ms	11.397615930926959	800.2857616186758
33.0ms	-1.8738198970317327e+35	-5.554718991337866e+28

Results

50.0ms	249×	body	256	valid
3.0ms	6×	body	1024	infinite
2.0ms	3×	body	1024	valid
2.0ms	4×	body	512	valid
1.0ms	6×	body	256	infinite
1.0ms	2×	body	512	infinite

Compiler

Compiled 458 to 350 computations (23.6% saved)

regimes33.0ms (0.2%)

Counts

7 → 2

Calls

Call 1

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

Calls

5 calls:

10.0ms	l
6.0ms	n
5.0ms	K
5.0ms	M
5.0ms	m

Results

Error	Segments	Branch
20.47%	1	`K`
20.47%	1	`m`
20.47%	1	`n`
20.47%	1	`M`
11.48%	2	`l`

Compiler

Compiled 73 to 48 computations (34.2% saved)

bsearch4.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
4.0ms	-1402609834439035000.0	-3.9938678420495735

Results

3.0ms	16×	body	256	valid
0.0ms	2×	body	256	infinite
0.0ms	1×	body	512	infinite

Compiler

Compiled 65 to 48 computations (26.2% saved)

regimes25.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(exp.f64 (-.f64 m (+.f64 n l)))

Calls

5 calls:

6.0ms	m
5.0ms	M
4.0ms	n
4.0ms	l
4.0ms	K

Results

Error	Segments	Branch
20.47%	1	`K`
20.47%	1	`m`
20.47%	1	`n`
20.47%	1	`M`
20.47%	1	`l`

Compiler

Compiled 62 to 46 computations (25.8% saved)

regimes18.0ms (0.1%)

Accuracy

Total -19.4b remaining (-47.4%)

Threshold costs -19.4b (-47.4%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	M
3.0ms	n
3.0ms	m
3.0ms	l
3.0ms	K

Results

Error	Segments	Branch
63.85%	1	`K`
63.85%	1	`m`
63.85%	1	`n`
63.85%	1	`M`
63.85%	1	`l`

Compiler

Compiled 40 to 33 computations (17.5% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

46×	`+-commutative`
36×	`*-commutative`
34×	`sub-neg`
20×	`neg-mul-1`
20×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	352
1	110	352
2	141	352
3	165	352
4	174	352
5	176	352

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 l -99999999999999997704951326524533662844684271992415000612999597473199345218078991130326129448151154688) (.f64 (cos.f64 M) (exp.f64 l)) (expm1.f64 (log1p.f64 (.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 m n) (+.f64 l (*.f64 M M))))))))
(if (<=.f64 m -8200000) (.f64 (cos.f64 M) (exp.f64 (.f64 (.f64 m m) -1/4))) (.f64 (exp.f64 (-.f64 (neg.f64 n) (fma.f64 M M l))) (*.f64 (+.f64 m 1) (cos.f64 M))))
(if (<=.f64 M -56000000000000002943126339584) (.f64 (cos.f64 M) (exp.f64 (neg.f64 (.f64 M M)))) (if (<=.f64 M 28) (exp.f64 (-.f64 m (+.f64 n l))) (.f64 (cos.f64 M) (exp.f64 (neg.f64 (.f64 M M))))))
(if (<=.f64 l -1000000000000000000) (*.f64 (cos.f64 M) (exp.f64 l)) (exp.f64 (-.f64 m (+.f64 n l))))
(exp.f64 (-.f64 m (+.f64 n 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 l -99999999999999997704951326524533662844684271992415000612999597473199345218078991130326129448151154688) (.f64 (cos.f64 M) (exp.f64 l)) (expm1.f64 (log1p.f64 (.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 m n) (+.f64 l (*.f64 M M))))))))
(if (<=.f64 m -8200000) (.f64 (cos.f64 M) (exp.f64 (.f64 (.f64 m m) -1/4))) (.f64 (exp.f64 (-.f64 (neg.f64 n) (fma.f64 M M l))) (*.f64 (+.f64 m 1) (cos.f64 M))))
(if (<=.f64 m -8200000) (.f64 (cos.f64 M) (exp.f64 (.f64 (.f64 m m) -1/4))) (.f64 (exp.f64 (-.f64 (neg.f64 n) (fma.f64 M M l))) (*.f64 (cos.f64 M) (+.f64 m 1))))
(if (<=.f64 M -56000000000000002943126339584) (.f64 (cos.f64 M) (exp.f64 (neg.f64 (.f64 M M)))) (if (<=.f64 M 28) (exp.f64 (-.f64 m (+.f64 n l))) (.f64 (cos.f64 M) (exp.f64 (neg.f64 (.f64 M M))))))
(if (or (<=.f64 M -56000000000000002943126339584) (not (<=.f64 M 28))) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))) (exp.f64 (-.f64 m (+.f64 n l))))
(if (<=.f64 l -1000000000000000000) (*.f64 (cos.f64 M) (exp.f64 l)) (exp.f64 (-.f64 m (+.f64 n l))))
(exp.f64 (-.f64 m (+.f64 n l)))
(exp.f64 (neg.f64 l))
(cos.f64 M)

Compiler

Compiled 161 to 114 computations (29.2% saved)

soundness630.0ms (3.9%)

Algorithm

7×	egg-herbie

Rules

1772×	`associate-r`
1284×	`associate-l`
1186×	`associate-+r+`
1094×	`associate-+l+`
1010×	`*-commutative`

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	562	11394
1	1615	10952
2	6610	10938
0	688	23096
1	2127	20748
0	77	1009
1	195	899
2	611	729
3	2531	709
4	5386	697
0	24	89
1	60	89
2	145	85
3	443	85
4	1715	85
0	562	11394
1	1615	10952
2	6610	10938
0	634	26446
1	2075	26330

Stop Event

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

Compiler

Compiled 779 to 418 computations (46.3% saved)

end74.0ms (0.5%)

Compiler: Compiled 184 to 103 computations (44% saved)