Details

analyze802.0ms (4.6%)

Algorithm

1×

Search

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

Compiler

Compiled 35 to 24 computations (31.4% saved)

sample2.2s (12.5%)

Results

1.9s	8132×	body	256	valid
71.0ms	366×	body	256	infinite
44.0ms	74×	body	1024	valid
37.0ms	69×	body	1024	infinite
25.0ms	71×	body	512	infinite
19.0ms	50×	body	512	valid
12.0ms	16×	body	2048	infinite

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)

simplify53.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	89
1	60	89
2	145	85
3	443	85
4	1715	85

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

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

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

eval2.0ms (0%)

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

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

16.3b

Counts

7 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.3b	(*.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)))))
▶	16.3b	(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))

Status

Error

Program

▶

16.3b

(*.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)))))

▶

16.3b

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

Compiler

Compiled 67 to 45 computations (32.8% saved)

localize73.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
✓	0.0b	(*.f64 (+.f64 m n) (/.f64 K 2))
✓	0.0b	(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))
✓	35.1b	(cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M))

Compiler

Compiled 138 to 60 computations (56.5% saved)

series14.0ms (0.1%)

Counts

4 → 168

Calls

42 calls:

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

rewrite110.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

566×	`+-commutative`
544×	`add-sqr-sqrt`
534×	`*-un-lft-identity`
532×	`pow1`
506×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	120
1	502	116
2	7461	116

Stop Event

1×	node limit

Counts

4 → 152

Calls

Call 1

Inputs
(cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M))
(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))
(*.f64 (+.f64 m n) (/.f64 K 2))
(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 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 (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 m n) (+.f64 (neg.f64 l) (neg.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 m n) (-.f64 (neg.f64 l) (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 m n) (neg.f64 (+.f64 l (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 m n) l) (neg.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 m n) l) (.f64 (neg.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 m n) (+.f64 l (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2))) (fma.f64 (neg.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M))) (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x 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m n) 1/2 (neg.f64 M)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2)))))))

simplify226.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1676×	`associate--l+`
804×	`associate-r`
804×	`fma-def`
650×	`associate-l`
542×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	577	15058
1	1719	14682
2	6909	14682

Stop Event

1×	node limit

Counts

320 → 369

Calls

Call 1

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

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

localize54.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
✓	0.0b	(/.f64 2 (+.f64 m n))
✓	0.2b	(/.f64 K (/.f64 2 (+.f64 m n)))
✓	35.2b	(cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M))

Compiler

Compiled 159 to 78 computations (50.9% saved)

series4.0ms (0%)

Counts

3 → 108

Calls

27 calls:

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

rewrite119.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 146

Calls

Call 1

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

Outputs

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

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

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

simplify120.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

254 → 268

Calls

Call 1

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

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

eval365.0ms (2.1%)

Compiler: Compiled 28458 to 14337 computations (49.6% saved)

prune214.0ms (1.2%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	702	19	721
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	704	19	723

Error

1.2b

Counts

723 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	16.3b	(.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)) M)))) 1) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
▶	16.6b	(.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 (.f64 -1/2 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))) (.f64 K m))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	16.3b	(.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))))
	16.6b	(.f64 (fabs.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) M))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
▶	43.7b	(.f64 (cos.f64 (-.f64 (pow.f64 (pow.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)) 3) 1/3) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	16.4b	(.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))))
	48.7b	(.f64 (cos.f64 (-.f64 (/.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3)) (.f64 (/.f64 2 K) (fma.f64 m m (*.f64 n (-.f64 n m))))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	49.6b	(*.f64 (cos.f64 (-.f64 (/.f64 K (pow.f64 (pow.f64 (/.f64 2 (+.f64 m n)) 3) 1/3)) M)) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) l) (fabs.f64 (-.f64 m n)))))
	16.4b	(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 (/.f64 2 (cbrt.f64 (+.f64 n m))) (pow.f64 (cbrt.f64 (+.f64 n m)) 2))) M)) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) l) (fabs.f64 (-.f64 m n)))))
	35.8b	(.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 M M)) l) (fabs.f64 (-.f64 m n)))))
	22.1b	(*.f64 (cos.f64 (-.f64 (/.f64 K (expm1.f64 (log1p.f64 (/.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)))))
	16.3b	(.f64 (cos.f64 (-.f64 (.f64 (pow.f64 (cbrt.f64 K) 2) (.f64 (cbrt.f64 K) (.f64 (+.f64 m n) 1/2))) M)) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) l) (fabs.f64 (-.f64 m n)))))
▶	35.8b	(.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))))
	39.8b	(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (.f64 (.f64 n n) -1/4)))
	36.1b	(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (.f64 (.f64 m m) -1/4)))
	34.4b	(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (*.f64 M (neg.f64 M))))
▶	49.8b	(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (neg.f64 l)))
	62.4b	(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (fabs.f64 (-.f64 m (+.f64 (+.f64 n l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))))
▶	1.6b	(*.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 1248 to 866 computations (30.6% saved)

localize31.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 102 to 42 computations (58.8% saved)

localize23.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (neg.f64 l)))
	0.0b	(*.f64 (+.f64 m n) (/.f64 K 2))
	35.1b	(cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M))

Compiler

Compiled 62 to 29 computations (53.2% saved)

series9.0ms (0.1%)

Counts

1 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	K	@	inf	(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (neg.f64 l)))
1.0ms	n	@	0	(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (neg.f64 l)))
1.0ms	l	@	inf	(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (neg.f64 l)))
1.0ms	m	@	0	(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (neg.f64 l)))
0.0ms	l	@	0	(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (neg.f64 l)))

rewrite76.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1264×	`distribute-lft-in`
580×	`associate-/r*`
512×	`associate-/l*`
398×	`add-sqr-sqrt`
384×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	43
1	375	39
2	5072	39

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

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

Outputs

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

simplify83.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1408×	`times-frac`
860×	`associate-/r*`
726×	`associate-/l*`
692×	`associate-r`
656×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	257	6218
1	790	6084
2	2765	5428

Stop Event

1×	node limit

Counts

94 → 130

Calls

Call 1

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

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

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (*.f64 M M))))
✓	0.0b	(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (*.f64 M M))
	0.0b	(*.f64 (+.f64 m n) (/.f64 K 2))
	35.1b	(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

2 → 108

Calls

27 calls:

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

rewrite140.0ms (0.8%)

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	96
1	485	88
2	7091	88

Stop Event

1×	node limit

Counts

2 → 153

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 m (+.f64 (neg.f64 n) (+.f64 (neg.f64 l) (*.f64 M (neg.f64 M)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 m (+.f64 (*.f64 (neg.f64 n) 1) (+.f64 (neg.f64 l) (*.f64 M (neg.f64 M)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 m (+.f64 (neg.f64 n) (-.f64 (neg.f64 l) (*.f64 M M))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 m (+.f64 (*.f64 (neg.f64 n) 1) (-.f64 (neg.f64 l) (*.f64 M M))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 m (+.f64 (neg.f64 n) (neg.f64 (+.f64 l (*.f64 M M)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 m (+.f64 (*.f64 (neg.f64 n) 1) (neg.f64 (+.f64 l (*.f64 M M)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 m n) (+.f64 (neg.f64 l) (*.f64 M (neg.f64 M))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 m n) (-.f64 (neg.f64 l) (*.f64 M M)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 m n) (neg.f64 (+.f64 l (*.f64 M M))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 m n) (+.f64 (fma.f64 (neg.f64 n) 1 n) (+.f64 (neg.f64 l) (*.f64 M (neg.f64 M)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 m n) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 n)) (sqrt.f64 n) n) (+.f64 (neg.f64 l) (*.f64 M (neg.f64 M)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 m n) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 n)) (cbrt.f64 (*.f64 n n)) n) (+.f64 (neg.f64 l) (*.f64 M (neg.f64 M)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 m n) (+.f64 (fma.f64 (neg.f64 n) 1 n) (-.f64 (neg.f64 l) (*.f64 M M))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 m n) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 n)) (sqrt.f64 n) n) (-.f64 (neg.f64 l) (*.f64 M M))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 m n) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 n)) (cbrt.f64 (*.f64 n n)) n) (-.f64 (neg.f64 l) (*.f64 M M))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 m n) (+.f64 (fma.f64 (neg.f64 n) 1 n) (neg.f64 (+.f64 l (*.f64 M 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simplify205.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1222×	`associate--l-`
968×	`associate--r-`
848×	`fma-def`
818×	`associate-+r+`
712×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	545	15399
1	1673	13915
2	6859	13915

Stop Event

1×	node limit

Counts

261 → 290

Calls

Call 1

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

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

localize76.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.9b	(.f64 (.f64 -1/2 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))) (*.f64 K m))
✓	7.4b	(.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 (.f64 -1/2 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))) (.f64 K m))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
✓	26.1b	(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
✓	26.2b	(sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))

Compiler

Compiled 205 to 95 computations (53.7% saved)

series49.0ms (0.3%)

Counts

4 → 140

Calls

45 calls:

Time	Variable		Point	Expression
16.0ms	M	@	inf	(.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 (.f64 -1/2 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))) (.f64 K m))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
5.0ms	K	@	inf	(.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 (.f64 -1/2 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))) (.f64 K m))) (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 (.f64 -1/2 (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))))
2.0ms	M	@	0	(.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 (.f64 -1/2 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))) (.f64 K m))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
2.0ms	n	@	0	(.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 (.f64 -1/2 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))) (.f64 K m))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))

rewrite113.0ms (0.7%)

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	212
1	692	212

Stop Event

1×	node limit

Counts

4 → 54

Calls

Call 1

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

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

simplify266.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1798×	`associate-*r/`
1542×	`associate-r`
1092×	`fma-def`
1048×	`associate-l`
954×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	553	21648
1	1741	20608
2	6841	20608

Stop Event

1×	node limit

Counts

194 → 227

Calls

Call 1

Inputs
(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)))
(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)))
(.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))))
(+.f64 (.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)))) (.f64 (+.f64 (.f64 (-.f64 M (.f64 1/2 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))))) (.f64 (-.f64 (.f64 -1/4 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) m))) (.f64 1/2 (.f64 K (sin.f64 (neg.f64 M))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l))))) n))
(+.f64 (.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)))) (+.f64 (.f64 (+.f64 (.f64 (-.f64 M (.f64 1/2 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))))) (.f64 (-.f64 (.f64 -1/4 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) m))) (.f64 1/2 (.f64 K (sin.f64 (neg.f64 M))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l))))) n) (.f64 (+.f64 (.f64 (-.f64 M (.f64 1/2 m)) (.f64 (-.f64 (.f64 -1/4 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) m))) (.f64 1/2 (.f64 K (sin.f64 (neg.f64 M))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l))))) (+.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (pow.f64 K 2))) (.f64 1/16 (.f64 (pow.f64 K 3) (.f64 (sin.f64 (neg.f64 M)) m)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l)))) (.f64 (+.f64 (.f64 -1/2 (.f64 K (.f64 (sin.f64 (neg.f64 M)) m))) (cos.f64 (neg.f64 M))) (.f64 (-.f64 (.f64 1/2 (pow.f64 (-.f64 M (.f64 1/2 m)) 2)) 1/4) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 m) M) 2) l))))))) (pow.f64 n 2))))
(+.f64 (.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)))) (+.f64 (.f64 (+.f64 (.f64 (-.f64 M (.f64 1/2 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))))) (.f64 (-.f64 (.f64 -1/4 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) m))) (.f64 1/2 (.f64 K (sin.f64 (neg.f64 M))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l))))) n) (+.f64 (.f64 (pow.f64 n 3) (+.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 K (.f64 (sin.f64 (neg.f64 M)) m))) (cos.f64 (neg.f64 M))) (.f64 (+.f64 (.f64 -1/4 (-.f64 M (.f64 1/2 m))) (.f64 1/6 (pow.f64 (-.f64 M (.f64 1/2 m)) 3))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l))))) (+.f64 (.f64 (-.f64 (.f64 1/96 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 4) m))) (.f64 -1/48 (.f64 (pow.f64 K 3) (sin.f64 (neg.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 (+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (pow.f64 K 2))) (.f64 1/16 (.f64 (pow.f64 K 3) (.f64 (sin.f64 (neg.f64 M)) m)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l))))) (.f64 (-.f64 (.f64 1/2 (pow.f64 (-.f64 M (.f64 1/2 m)) 2)) 1/4) (.f64 (-.f64 (.f64 -1/4 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) m))) (.f64 1/2 (.f64 K (sin.f64 (neg.f64 M))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l))))))))) (.f64 (+.f64 (.f64 (-.f64 M (.f64 1/2 m)) (.f64 (-.f64 (.f64 -1/4 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) m))) (.f64 1/2 (.f64 K (sin.f64 (neg.f64 M))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l))))) (+.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (pow.f64 K 2))) (.f64 1/16 (.f64 (pow.f64 K 3) (.f64 (sin.f64 (neg.f64 M)) m)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l)))) (.f64 (+.f64 (.f64 -1/2 (.f64 K (.f64 (sin.f64 (neg.f64 M)) m))) (cos.f64 (neg.f64 M))) (.f64 (-.f64 (.f64 1/2 (pow.f64 (-.f64 M (.f64 1/2 m)) 2)) 1/4) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l))))))) (pow.f64 n 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 (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 (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 (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 (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 (fabs.f64 (+.f64 (.f64 -1 n) m)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (-.f64 m (*.f64 -1 n))) M) 2) l))))
(.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 (.f64 -1 n) m)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (-.f64 m (*.f64 -1 n))) M) 2) l))))
(.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 (.f64 -1 n) m)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (-.f64 m (*.f64 -1 n))) M) 2) l))))
(.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 (.f64 -1 n) m)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (-.f64 m (*.f64 -1 n))) M) 2) l))))
(.f64 (cos.f64 (neg.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(+.f64 (.f64 (cos.f64 (neg.f64 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 (sin.f64 (neg.f64 M)) m)) (.f64 1/2 (.f64 n (sin.f64 (neg.f64 M))))) (.f64 K (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)))))))
(+.f64 (.f64 (pow.f64 K 2) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (+.f64 (.f64 -1/4 (.f64 (cos.f64 (neg.f64 M)) (.f64 n m))) (.f64 -1/8 (.f64 (pow.f64 n 2) (cos.f64 (neg.f64 M))))))) (+.f64 (.f64 (cos.f64 (neg.f64 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 (sin.f64 (neg.f64 M)) m)) (.f64 1/2 (.f64 n (sin.f64 (neg.f64 M))))) (.f64 K (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))))))
(+.f64 (.f64 (pow.f64 K 2) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (+.f64 (.f64 -1/4 (.f64 (cos.f64 (neg.f64 M)) (.f64 n m))) (.f64 -1/8 (.f64 (pow.f64 n 2) (cos.f64 (neg.f64 M))))))) (+.f64 (.f64 (cos.f64 (neg.f64 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 (.f64 -1/2 (.f64 (sin.f64 (neg.f64 M)) m)) (.f64 1/2 (.f64 n (sin.f64 (neg.f64 M))))) (.f64 K (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))) (.f64 (-.f64 (.f64 1/16 (.f64 (pow.f64 n 2) (.f64 (sin.f64 (neg.f64 M)) m))) (.f64 -1/48 (.f64 (pow.f64 n 3) (sin.f64 (neg.f64 M))))) (.f64 (pow.f64 K 3) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)))))))))
(.f64 -1/2 (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)))) m))))
(+.f64 (.f64 -1/2 (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) 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 (-.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 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) 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 (-.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 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) 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 (-.f64 (.f64 1/2 (*.f64 n K)) M))))
(.f64 -1/2 (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)))) m))))
(+.f64 (.f64 -1/2 (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) m)))) (.f64 (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 -1/2 (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) m)))) (.f64 (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))))))
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(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2))))) (+.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (*.f64 K m)))))
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(/.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 -1/2 (.f64 K m))) 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 -1/2 (.f64 K m))) (-.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 -1/2 (.f64 K m))) (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 -1/2 (.f64 K m))))) (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 -1/2 (.f64 K m)))) (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 -1/2 (.f64 K m)))) (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 -1/2 (.f64 K m)))) (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 -1/2 (.f64 K m)))) (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 -1/2 (.f64 K m)))) (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 -1/2 (.f64 K m)))) (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 -1/2 (.f64 K m)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))))
(pow.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 -1/2 (*.f64 K m))) 1)
(log.f64 (exp.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 -1/2 (*.f64 K m)))))
(cbrt.f64 (.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 -1/2 (.f64 K m))) (pow.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 -1/2 (*.f64 K m))) 2)))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 -1/2 (*.f64 K m)))))
(exp.f64 (log.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 -1/2 (*.f64 K m)))))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 -1/2 (*.f64 K m)))))

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

localize105.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))
✓	0.2b	(pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 3)
✓	18.8b	(cos.f64 (-.f64 (pow.f64 (pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 3) 1/3) M))
✓	31.1b	(pow.f64 (pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 3) 1/3)

Compiler

Compiled 173 to 87 computations (49.7% saved)

series29.0ms (0.2%)

Counts

3 → 120

Calls

30 calls:

Time	Variable		Point	Expression
3.0ms	n	@	-inf	(pow.f64 (pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 3) 1/3)
3.0ms	n	@	0	(cos.f64 (-.f64 (pow.f64 (pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 3) 1/3) M))
3.0ms	m	@	0	(cos.f64 (-.f64 (pow.f64 (pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 3) 1/3) M))
2.0ms	n	@	0	(pow.f64 (pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 3) 1/3)
2.0ms	m	@	0	(pow.f64 (pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 3) 1/3)

rewrite101.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1312×	`associate-*r/`
1146×	`associate-*l/`
374×	`add-sqr-sqrt`
356×	`*-un-lft-identity`
352×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	73
1	389	73
2	4702	73

Stop Event

1×	node limit

Counts

3 → 184

Calls

Call 1

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

Outputs

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

simplify362.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1470×	`associate-/l*`
1028×	`associate-/r*`
720×	`distribute-lft-in`
718×	`distribute-rgt-in`
578×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	863	23042
1	2748	22994

Stop Event

1×	node limit

Counts

304 → 405

Calls

Call 1

Inputs
(.f64 1/2 (.f64 n K))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 n 2) (pow.f64 K 2))) 1/3) (/.f64 (.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 n 2) (pow.f64 K 3))) (.f64 1/8 (.f64 (pow.f64 n 2) (pow.f64 K 3)))) m) (cbrt.f64 1/4)))) (.f64 1/2 (.f64 n K)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 n 2) (pow.f64 K 2))) 1/3) (/.f64 (.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 n 2) (pow.f64 K 3))) (.f64 1/8 (.f64 (pow.f64 n 2) (pow.f64 K 3)))) m) (cbrt.f64 1/4)))) (+.f64 (.f64 4/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/4 (.f64 n (pow.f64 K 3))) (.f64 1/8 (.f64 n (pow.f64 K 3)))) (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (.f64 n K)) 1/3) (/.f64 (pow.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 n 2) (pow.f64 K 3))) (.f64 1/8 (.f64 (pow.f64 n 2) (pow.f64 K 3)))) 2) (pow.f64 (cbrt.f64 1/4) 2))))) (pow.f64 m 2)) (.f64 (pow.f64 n 2) (pow.f64 K 2)))) (.f64 1/2 (.f64 n K))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 n 2) (pow.f64 K 2))) 1/3) (/.f64 (.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 n 2) (pow.f64 K 3))) (.f64 1/8 (.f64 (pow.f64 n 2) (pow.f64 K 3)))) m) (cbrt.f64 1/4)))) (+.f64 (.f64 4/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/4 (.f64 n (pow.f64 K 3))) (.f64 1/8 (.f64 n (pow.f64 K 3)))) (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (.f64 n K)) 1/3) (/.f64 (pow.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 n 2) (pow.f64 K 3))) (.f64 1/8 (.f64 (pow.f64 n 2) (pow.f64 K 3)))) 2) (pow.f64 (cbrt.f64 1/4) 2))))) (pow.f64 m 2)) (.f64 (pow.f64 n 2) (pow.f64 K 2)))) (+.f64 (.f64 1/2 (.f64 n K)) (.f64 4/3 (/.f64 (.f64 (-.f64 (.f64 1/8 (pow.f64 K 3)) (+.f64 (.f64 4/27 (/.f64 (pow.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 n 2) (pow.f64 K 3))) (.f64 1/8 (.f64 (pow.f64 n 2) (pow.f64 K 3)))) 3) (.f64 (pow.f64 n 2) (pow.f64 K 2)))) (.f64 4/3 (.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/4 (.f64 n (pow.f64 K 3))) (.f64 1/8 (.f64 n (pow.f64 K 3)))) (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (.f64 n K)) 1/3) (/.f64 (pow.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 n 2) (pow.f64 K 3))) (.f64 1/8 (.f64 (pow.f64 n 2) (pow.f64 K 3)))) 2) (pow.f64 (cbrt.f64 1/4) 2))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 n 2) (pow.f64 K 3))) (.f64 1/8 (.f64 (pow.f64 n 2) (pow.f64 K 3))))) (cbrt.f64 1/4)) (pow.f64 (/.f64 1 (.f64 (pow.f64 n 5) (pow.f64 K 5))) 1/3))))) (pow.f64 m 3)) (*.f64 (pow.f64 n 2) (pow.f64 K 2)))))))
(.f64 1/2 (.f64 K m))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 K 2)) 1/3) (/.f64 (+.f64 (.f64 1/4 (.f64 n (pow.f64 K 3))) (.f64 1/8 (.f64 n (pow.f64 K 3)))) (cbrt.f64 1/4)))) (.f64 1/2 (.f64 K m)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 K 2)) 1/3) (/.f64 (+.f64 (.f64 1/4 (.f64 n (pow.f64 K 3))) (.f64 1/8 (.f64 n (pow.f64 K 3)))) (cbrt.f64 1/4)))) (+.f64 (.f64 1/2 (.f64 K m)) (.f64 4/3 (/.f64 (-.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 n 2) (pow.f64 K 3))) (.f64 1/8 (.f64 (pow.f64 n 2) (pow.f64 K 3)))) (.f64 1/6 (.f64 (pow.f64 (/.f64 1 K) 1/3) (/.f64 (pow.f64 (+.f64 (.f64 1/4 (.f64 n (pow.f64 K 3))) (.f64 1/8 (.f64 n (pow.f64 K 3)))) 2) (pow.f64 (cbrt.f64 1/4) 2))))) (.f64 (pow.f64 K 2) m)))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 K 2)) 1/3) (/.f64 (+.f64 (.f64 1/4 (.f64 n (pow.f64 K 3))) (.f64 1/8 (.f64 n (pow.f64 K 3)))) (cbrt.f64 1/4)))) (+.f64 (.f64 4/3 (/.f64 (-.f64 (.f64 1/8 (.f64 (pow.f64 n 3) (pow.f64 K 3))) (+.f64 (.f64 4/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 K 5)) 1/3) (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 n 2) (pow.f64 K 3))) (.f64 1/8 (.f64 (pow.f64 n 2) (pow.f64 K 3)))) (.f64 1/6 (.f64 (pow.f64 (/.f64 1 K) 1/3) (/.f64 (pow.f64 (+.f64 (.f64 1/4 (.f64 n (pow.f64 K 3))) (.f64 1/8 (.f64 n (pow.f64 K 3)))) 2) (pow.f64 (cbrt.f64 1/4) 2))))) (+.f64 (.f64 1/4 (.f64 n (pow.f64 K 3))) (.f64 1/8 (.f64 n (pow.f64 K 3))))) (cbrt.f64 1/4)))) (.f64 4/27 (/.f64 (pow.f64 (+.f64 (.f64 1/4 (.f64 n (pow.f64 K 3))) (.f64 1/8 (.f64 n (pow.f64 K 3)))) 3) (pow.f64 K 2))))) (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (+.f64 (.f64 1/2 (.f64 K m)) (.f64 4/3 (/.f64 (-.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 n 2) (pow.f64 K 3))) (.f64 1/8 (.f64 (pow.f64 n 2) (pow.f64 K 3)))) (.f64 1/6 (.f64 (pow.f64 (/.f64 1 K) 1/3) (/.f64 (pow.f64 (+.f64 (.f64 1/4 (.f64 n (pow.f64 K 3))) (.f64 1/8 (.f64 n (pow.f64 K 3)))) 2) (pow.f64 (cbrt.f64 1/4) 2))))) (.f64 (pow.f64 K 2) m))))))
(.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8))))
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(/.f64 (.f64 (pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 2) (.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 (pow.f64 (.f64 K 1/2) 3) (.f64 (pow.f64 (+.f64 m n) 2) (-.f64 (.f64 m m) (*.f64 n n)))) (-.f64 m n))
(/.f64 (.f64 (pow.f64 (.f64 K 1/2) 3) (.f64 (pow.f64 (+.f64 m n) 2) (+.f64 (pow.f64 m 3) (pow.f64 n 3)))) (fma.f64 m m (.f64 n (-.f64 n m))))
(/.f64 (.f64 (pow.f64 (.f64 K 1/2) 3) (pow.f64 (-.f64 (.f64 m m) (.f64 n n)) 3)) (pow.f64 (-.f64 m n) 3))
(/.f64 (.f64 (pow.f64 (.f64 K 1/2) 3) (pow.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3)) 3)) (pow.f64 (fma.f64 m m (*.f64 n (-.f64 n m))) 3))
(/.f64 (.f64 (.f64 (pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 2) (.f64 K 1/2)) 1) (/.f64 (-.f64 m n) (-.f64 (.f64 m m) (*.f64 n n))))
(/.f64 (.f64 (.f64 (pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 2) (.f64 K 1/2)) 1) (/.f64 (fma.f64 m m (.f64 n (-.f64 n m))) (+.f64 (pow.f64 m 3) (pow.f64 n 3))))
(/.f64 (.f64 (.f64 (pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 2) (.f64 K 1/2)) (-.f64 (.f64 m m) (*.f64 n n))) (-.f64 m n))
(/.f64 (.f64 (.f64 (pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 2) (.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 (.f64 (+.f64 m n) (.f64 K 1/2)) 2) (.f64 K 1/2)) (-.f64 (.f64 n n) (*.f64 m m))) (-.f64 n m))
(/.f64 (.f64 (.f64 (pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 2) (.f64 K 1/2)) (neg.f64 (-.f64 (.f64 m m) (*.f64 n n)))) (neg.f64 (-.f64 m n)))
(/.f64 (.f64 (.f64 (pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 2) (.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 (.f64 (pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 2) 1) (.f64 (.f64 K 1/2) (-.f64 (.f64 m m) (.f64 n n)))) (-.f64 m n))
(/.f64 (.f64 (.f64 (pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 2) 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 (.f64 (+.f64 m n) (.f64 K 1/2)) 2) 1) (.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K 1/2))) (-.f64 m n))
(/.f64 (.f64 (.f64 (pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 2) 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 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) 2) 3) (.f64 (.f64 K 1/2) (-.f64 (.f64 m m) (*.f64 n n)))) (-.f64 m n))
(/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) 2) 3) (.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 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) 2) 3) (.f64 (-.f64 (.f64 m m) (.f64 n n)) (*.f64 K 1/2))) (-.f64 m n))
(/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) 2) 3) (.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 (.f64 (.f64 K 1/2) (pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 2))) (/.f64 (-.f64 m n) (-.f64 (.f64 m m) (*.f64 n n))))
(/.f64 (.f64 1 (.f64 (.f64 K 1/2) (pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 2))) (/.f64 (fma.f64 m m (.f64 n (-.f64 n m))) (+.f64 (pow.f64 m 3) (pow.f64 n 3))))
(/.f64 (.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 (.f64 K 1/2) (pow.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)) 2))) (-.f64 m n))
(/.f64 (.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3)) (.f64 (.f64 K 1/2) (pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 2))) (fma.f64 m m (.f64 n (-.f64 n m))))
(/.f64 (.f64 (-.f64 (.f64 n n) (.f64 m m)) (.f64 (.f64 K 1/2) (pow.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)) 2))) (-.f64 n m))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 m m) (.f64 n n))) (.f64 (.f64 K 1/2) (pow.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)) 2))) (neg.f64 (-.f64 m n)))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3))) (.f64 (.f64 K 1/2) (pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 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))) (pow.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)) 2)) (-.f64 m n))
(/.f64 (.f64 (.f64 (.f64 K 1/2) (+.f64 (pow.f64 m 3) (pow.f64 n 3))) (pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 2)) (fma.f64 m m (.f64 n (-.f64 n m))))
(/.f64 (.f64 (.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K 1/2)) (pow.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)) 2)) (-.f64 m n))
(/.f64 (.f64 (.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3)) (.f64 K 1/2)) (pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 2)) (fma.f64 m m (.f64 n (-.f64 n m))))
(/.f64 (.f64 (.f64 (-.f64 (.f64 m m) (.f64 n n)) K) (.f64 1/2 (pow.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)) 2))) (-.f64 m n))
(/.f64 (.f64 (.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3)) K) (.f64 1/2 (pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 2))) (fma.f64 m m (.f64 n (-.f64 n m))))
(/.f64 (.f64 (.f64 (pow.f64 (+.f64 m n) 2) (-.f64 (.f64 m m) (.f64 n n))) (pow.f64 (*.f64 K 1/2) 3)) (-.f64 m n))
(/.f64 (.f64 (.f64 (pow.f64 (+.f64 m n) 2) (+.f64 (pow.f64 m 3) (pow.f64 n 3))) (pow.f64 (.f64 K 1/2) 3)) (fma.f64 m m (.f64 n (-.f64 n m))))
(/.f64 (.f64 (pow.f64 (-.f64 (.f64 m m) (.f64 n n)) 3) (pow.f64 (.f64 K 1/2) 3)) (pow.f64 (-.f64 m n) 3))
(/.f64 (.f64 (pow.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3)) 3) (pow.f64 (.f64 K 1/2) 3)) (pow.f64 (fma.f64 m m (*.f64 n (-.f64 n m))) 3))
(sqrt.f64 (pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 6))
(log.f64 (exp.f64 (.f64 (pow.f64 (.f64 (+.f64 m n) K) 3) 1/8)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 (.f64 (+.f64 m n) K) 3) 1/8))))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 (.f64 (+.f64 m n) K) 3) 1/8) 3))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 (.f64 (+.f64 m n) K) 3) 1/8)))
(exp.f64 (.f64 3 (log.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)))))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))) 1))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 (.f64 (+.f64 m n) K) 3) 1/8)))

Outputs
(.f64 1/2 (.f64 n K))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 n 2) (pow.f64 K 2))) 1/3) (/.f64 (.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 n 2) (pow.f64 K 3))) (.f64 1/8 (.f64 (pow.f64 n 2) (pow.f64 K 3)))) m) (cbrt.f64 1/4)))) (.f64 1/2 (.f64 n K)))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 n n) (.f64 K K)))) (/.f64 (.f64 (.f64 (.f64 n n) (pow.f64 K 3)) 3/8) (/.f64 (cbrt.f64 1/4) m))) (.f64 1/2 (*.f64 n K)))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 n n) (.f64 K K)))) (.f64 (/.f64 (.f64 (.f64 (.f64 n n) (pow.f64 K 3)) 3/8) (cbrt.f64 1/4)) m)) (.f64 1/2 (.f64 n K)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 n 2) (pow.f64 K 2))) 1/3) (/.f64 (.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 n 2) (pow.f64 K 3))) (.f64 1/8 (.f64 (pow.f64 n 2) (pow.f64 K 3)))) m) (cbrt.f64 1/4)))) (+.f64 (.f64 4/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/4 (.f64 n (pow.f64 K 3))) (.f64 1/8 (.f64 n (pow.f64 K 3)))) (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (.f64 n K)) 1/3) (/.f64 (pow.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 n 2) (pow.f64 K 3))) (.f64 1/8 (.f64 (pow.f64 n 2) (pow.f64 K 3)))) 2) (pow.f64 (cbrt.f64 1/4) 2))))) (pow.f64 m 2)) (.f64 (pow.f64 n 2) (pow.f64 K 2)))) (.f64 1/2 (.f64 n K))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 n n) (.f64 K K)))) (/.f64 (.f64 (.f64 (.f64 n n) (pow.f64 K 3)) 3/8) (/.f64 (cbrt.f64 1/4) m))) (fma.f64 4/3 (.f64 (/.f64 (+.f64 (.f64 (.f64 n (pow.f64 K 3)) 3/8) (.f64 -1/6 (.f64 (cbrt.f64 (/.f64 1 (.f64 n K))) (/.f64 (pow.f64 (.f64 (.f64 (.f64 n n) (pow.f64 K 3)) 3/8) 2) (pow.f64 (cbrt.f64 1/4) 2))))) (.f64 n n)) (/.f64 (.f64 m m) (.f64 K K))) (.f64 1/2 (*.f64 n K))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 n n) (.f64 K K)))) (.f64 (/.f64 (.f64 (.f64 (.f64 n n) (pow.f64 K 3)) 3/8) (cbrt.f64 1/4)) m)) (fma.f64 4/3 (.f64 (/.f64 (-.f64 (.f64 (.f64 n (pow.f64 K 3)) 3/8) (/.f64 (.f64 (.f64 1/6 (cbrt.f64 (/.f64 1 (.f64 n K)))) (pow.f64 (.f64 (.f64 (.f64 n n) (pow.f64 K 3)) 3/8) 2)) (pow.f64 (cbrt.f64 1/4) 2))) (.f64 n n)) (/.f64 (.f64 m m) (.f64 K K))) (.f64 1/2 (.f64 n K))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 n 2) (pow.f64 K 2))) 1/3) (/.f64 (.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 n 2) (pow.f64 K 3))) (.f64 1/8 (.f64 (pow.f64 n 2) (pow.f64 K 3)))) m) (cbrt.f64 1/4)))) (+.f64 (.f64 4/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/4 (.f64 n (pow.f64 K 3))) (.f64 1/8 (.f64 n (pow.f64 K 3)))) (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (.f64 n K)) 1/3) (/.f64 (pow.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 n 2) (pow.f64 K 3))) (.f64 1/8 (.f64 (pow.f64 n 2) (pow.f64 K 3)))) 2) (pow.f64 (cbrt.f64 1/4) 2))))) (pow.f64 m 2)) (.f64 (pow.f64 n 2) (pow.f64 K 2)))) (+.f64 (.f64 1/2 (.f64 n K)) (.f64 4/3 (/.f64 (.f64 (-.f64 (.f64 1/8 (pow.f64 K 3)) (+.f64 (.f64 4/27 (/.f64 (pow.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 n 2) (pow.f64 K 3))) (.f64 1/8 (.f64 (pow.f64 n 2) (pow.f64 K 3)))) 3) (.f64 (pow.f64 n 2) (pow.f64 K 2)))) (.f64 4/3 (.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/4 (.f64 n (pow.f64 K 3))) (.f64 1/8 (.f64 n (pow.f64 K 3)))) (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (.f64 n K)) 1/3) (/.f64 (pow.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 n 2) (pow.f64 K 3))) (.f64 1/8 (.f64 (pow.f64 n 2) (pow.f64 K 3)))) 2) (pow.f64 (cbrt.f64 1/4) 2))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 n 2) (pow.f64 K 3))) (.f64 1/8 (.f64 (pow.f64 n 2) (pow.f64 K 3))))) (cbrt.f64 1/4)) (pow.f64 (/.f64 1 (.f64 (pow.f64 n 5) (pow.f64 K 5))) 1/3))))) (pow.f64 m 3)) (*.f64 (pow.f64 n 2) (pow.f64 K 2)))))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 n n) (.f64 K K)))) (/.f64 (.f64 (.f64 (.f64 n n) (pow.f64 K 3)) 3/8) (/.f64 (cbrt.f64 1/4) m))) (fma.f64 4/3 (.f64 (/.f64 (+.f64 (.f64 (.f64 n (pow.f64 K 3)) 3/8) (.f64 -1/6 (.f64 (cbrt.f64 (/.f64 1 (.f64 n K))) (/.f64 (pow.f64 (.f64 (.f64 (.f64 n n) (pow.f64 K 3)) 3/8) 2) (pow.f64 (cbrt.f64 1/4) 2))))) (.f64 n n)) (/.f64 (.f64 m m) (.f64 K K))) (fma.f64 1/2 (.f64 n K) (.f64 4/3 (.f64 (/.f64 (-.f64 (.f64 (pow.f64 K 3) 1/8) (fma.f64 4/27 (/.f64 (pow.f64 (.f64 (.f64 (.f64 n n) (pow.f64 K 3)) 3/8) 3) (.f64 (.f64 n n) (.f64 K K))) (.f64 4/3 (.f64 (/.f64 (+.f64 (.f64 (.f64 n (pow.f64 K 3)) 3/8) (.f64 -1/6 (.f64 (cbrt.f64 (/.f64 1 (.f64 n K))) (/.f64 (pow.f64 (.f64 (.f64 (.f64 n n) (pow.f64 K 3)) 3/8) 2) (pow.f64 (cbrt.f64 1/4) 2))))) (/.f64 (cbrt.f64 1/4) (.f64 (.f64 (.f64 n n) (pow.f64 K 3)) 3/8))) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 n 5) (pow.f64 K 5)))))))) (.f64 n n)) (/.f64 (pow.f64 m 3) (*.f64 K K)))))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 n n) (.f64 K K)))) (.f64 (/.f64 (.f64 (.f64 (.f64 n n) (pow.f64 K 3)) 3/8) (cbrt.f64 1/4)) m)) (fma.f64 4/3 (.f64 (/.f64 (-.f64 (.f64 (.f64 n (pow.f64 K 3)) 3/8) (/.f64 (.f64 (.f64 1/6 (cbrt.f64 (/.f64 1 (.f64 n K)))) (pow.f64 (.f64 (.f64 (.f64 n n) (pow.f64 K 3)) 3/8) 2)) (pow.f64 (cbrt.f64 1/4) 2))) (.f64 n n)) (/.f64 (.f64 m m) (.f64 K K))) (fma.f64 1/2 (.f64 n K) (/.f64 (.f64 4/3 (-.f64 (.f64 (pow.f64 K 3) 1/8) (fma.f64 4/27 (/.f64 (pow.f64 (.f64 (.f64 (.f64 n n) (pow.f64 K 3)) 3/8) 3) (.f64 (.f64 n n) (.f64 K K))) (.f64 4/3 (.f64 (/.f64 (.f64 (.f64 (.f64 n n) (pow.f64 K 3)) 3/8) (/.f64 (cbrt.f64 1/4) (-.f64 (.f64 (.f64 n (pow.f64 K 3)) 3/8) (/.f64 (.f64 (.f64 1/6 (cbrt.f64 (/.f64 1 (.f64 n K)))) (pow.f64 (.f64 (.f64 (.f64 n n) (pow.f64 K 3)) 3/8) 2)) (pow.f64 (cbrt.f64 1/4) 2))))) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 n 5) (pow.f64 K 5))))))))) (/.f64 (.f64 n n) (/.f64 (pow.f64 m 3) (*.f64 K K)))))))
(.f64 1/2 (.f64 K m))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 K 2)) 1/3) (/.f64 (+.f64 (.f64 1/4 (.f64 n (pow.f64 K 3))) (.f64 1/8 (.f64 n (pow.f64 K 3)))) (cbrt.f64 1/4)))) (.f64 1/2 (.f64 K m)))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 K K))) (/.f64 (.f64 (.f64 n (pow.f64 K 3)) 3/8) (cbrt.f64 1/4))) (.f64 1/2 (.f64 K m)))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 K K))) (/.f64 (.f64 n (pow.f64 K 3)) (/.f64 (cbrt.f64 1/4) 3/8))) (.f64 1/2 (*.f64 K m)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 K 2)) 1/3) (/.f64 (+.f64 (.f64 1/4 (.f64 n (pow.f64 K 3))) (.f64 1/8 (.f64 n (pow.f64 K 3)))) (cbrt.f64 1/4)))) (+.f64 (.f64 1/2 (.f64 K m)) (.f64 4/3 (/.f64 (-.f64 (+.f64 (.f64 1/4 (.f64 (pow.f64 n 2) (pow.f64 K 3))) (.f64 1/8 (.f64 (pow.f64 n 2) (pow.f64 K 3)))) (.f64 1/6 (.f64 (pow.f64 (/.f64 1 K) 1/3) (/.f64 (pow.f64 (+.f64 (.f64 1/4 (.f64 n (pow.f64 K 3))) (.f64 1/8 (.f64 n (pow.f64 K 3)))) 2) (pow.f64 (cbrt.f64 1/4) 2))))) (.f64 (pow.f64 K 2) m)))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 K K))) (/.f64 (.f64 (.f64 n (pow.f64 K 3)) 3/8) (cbrt.f64 1/4))) (fma.f64 1/2 (.f64 K m) (.f64 4/3 (/.f64 (+.f64 (.f64 (.f64 (.f64 n n) (pow.f64 K 3)) 3/8) (.f64 -1/6 (.f64 (cbrt.f64 (/.f64 1 K)) (/.f64 (pow.f64 (.f64 (.f64 n (pow.f64 K 3)) 3/8) 2) (pow.f64 (cbrt.f64 1/4) 2))))) (.f64 (*.f64 K K) m)))))
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(/.f64 (.f64 (pow.f64 (.f64 1/2 (.f64 K (+.f64 n m))) 2) (.f64 (.f64 1/2 K) (neg.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3))))) (neg.f64 (fma.f64 m m (.f64 n (-.f64 n m)))))
(/.f64 (.f64 (pow.f64 (.f64 1/2 (.f64 K (+.f64 n m))) 2) (.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 (.f64 (.f64 (pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 2) 1) (.f64 (.f64 K 1/2) (-.f64 (.f64 m m) (.f64 n n)))) (-.f64 m n))
(/.f64 (pow.f64 (.f64 1/2 (.f64 K (+.f64 n m))) 2) (/.f64 (-.f64 m n) (.f64 (.f64 1/2 K) (-.f64 (.f64 m m) (.f64 n n)))))
(.f64 (.f64 (/.f64 K (/.f64 (-.f64 m n) (-.f64 (.f64 m m) (.f64 n n)))) 1/2) (pow.f64 (.f64 1/2 (.f64 K (+.f64 n m))) 2))
(/.f64 (.f64 (.f64 (pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 2) 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 (pow.f64 (.f64 1/2 (.f64 K (+.f64 n m))) 2) (/.f64 (fma.f64 m m (.f64 n (-.f64 n m))) (.f64 1/2 (*.f64 K (+.f64 (pow.f64 m 3) (pow.f64 n 3))))))
(.f64 (.f64 (/.f64 1/2 (/.f64 (fma.f64 m m (.f64 n (-.f64 n m))) K)) (+.f64 (pow.f64 m 3) (pow.f64 n 3))) (pow.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) 2))
(/.f64 (.f64 (.f64 (pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 2) 1) (.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K 1/2))) (-.f64 m n))
(/.f64 (pow.f64 (.f64 1/2 (.f64 K (+.f64 n m))) 2) (/.f64 (-.f64 m n) (.f64 (.f64 1/2 K) (-.f64 (.f64 m m) (.f64 n n)))))
(.f64 (.f64 (/.f64 K (/.f64 (-.f64 m n) (-.f64 (.f64 m m) (.f64 n n)))) 1/2) (pow.f64 (.f64 1/2 (.f64 K (+.f64 n m))) 2))
(/.f64 (.f64 (.f64 (pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 2) 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 (pow.f64 (.f64 1/2 (.f64 K (+.f64 n m))) 2) (/.f64 (fma.f64 m m (.f64 n (-.f64 n m))) (.f64 1/2 (*.f64 K (+.f64 (pow.f64 m 3) (pow.f64 n 3))))))
(.f64 (.f64 (/.f64 1/2 (/.f64 (fma.f64 m m (.f64 n (-.f64 n m))) K)) (+.f64 (pow.f64 m 3) (pow.f64 n 3))) (pow.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) 2))
(/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) 2) 3) (.f64 (.f64 K 1/2) (-.f64 (.f64 m m) (*.f64 n n)))) (-.f64 m n))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) 2) 3) (/.f64 (-.f64 m n) (.f64 (.f64 1/2 K) (-.f64 (.f64 m m) (.f64 n n)))))
(.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) 2) 3) (-.f64 m n)) (.f64 (.f64 1/2 K) (-.f64 (.f64 m m) (*.f64 n n))))
(/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) 2) 3) (.f64 (.f64 K 1/2) (+.f64 (pow.f64 m 3) (pow.f64 n 3)))) (fma.f64 m m (.f64 n (-.f64 n m))))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) 2) 3) (/.f64 (fma.f64 m m (.f64 n (-.f64 n m))) (.f64 1/2 (*.f64 K (+.f64 (pow.f64 m 3) (pow.f64 n 3))))))
(/.f64 (.f64 1/2 (.f64 K (+.f64 (pow.f64 m 3) (pow.f64 n 3)))) (/.f64 (fma.f64 m m (.f64 n (-.f64 n m))) (pow.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))) 2) 3)))
(/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) 2) 3) (.f64 (-.f64 (.f64 m m) (.f64 n n)) (*.f64 K 1/2))) (-.f64 m n))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) 2) 3) (/.f64 (-.f64 m n) (.f64 (.f64 1/2 K) (-.f64 (.f64 m m) (.f64 n n)))))
(.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) 2) 3) (-.f64 m n)) (.f64 (.f64 1/2 K) (-.f64 (.f64 m m) (*.f64 n n))))
(/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) 2) 3) (.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3)) (.f64 K 1/2))) (fma.f64 m m (.f64 n (-.f64 n m))))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) 2) 3) (/.f64 (fma.f64 m m (.f64 n (-.f64 n m))) (.f64 1/2 (*.f64 K (+.f64 (pow.f64 m 3) (pow.f64 n 3))))))
(/.f64 (.f64 1/2 (.f64 K (+.f64 (pow.f64 m 3) (pow.f64 n 3)))) (/.f64 (fma.f64 m m (.f64 n (-.f64 n m))) (pow.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))) 2) 3)))
(/.f64 (.f64 1 (.f64 (.f64 K 1/2) (pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 2))) (/.f64 (-.f64 m n) (-.f64 (.f64 m m) (*.f64 n n))))
(/.f64 (pow.f64 (.f64 1/2 (.f64 K (+.f64 n m))) 2) (/.f64 (-.f64 m n) (.f64 (.f64 1/2 K) (-.f64 (.f64 m m) (.f64 n n)))))
(.f64 (.f64 (/.f64 K (/.f64 (-.f64 m n) (-.f64 (.f64 m m) (.f64 n n)))) 1/2) (pow.f64 (.f64 1/2 (.f64 K (+.f64 n m))) 2))
(/.f64 (.f64 1 (.f64 (.f64 K 1/2) (pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 2))) (/.f64 (fma.f64 m m (.f64 n (-.f64 n m))) (+.f64 (pow.f64 m 3) (pow.f64 n 3))))
(/.f64 (pow.f64 (.f64 1/2 (.f64 K (+.f64 n m))) 2) (/.f64 (fma.f64 m m (.f64 n (-.f64 n m))) (.f64 1/2 (*.f64 K (+.f64 (pow.f64 m 3) (pow.f64 n 3))))))
(.f64 (.f64 (/.f64 1/2 (/.f64 (fma.f64 m m (.f64 n (-.f64 n m))) K)) (+.f64 (pow.f64 m 3) (pow.f64 n 3))) (pow.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) 2))
(/.f64 (.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 (.f64 K 1/2) (pow.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)) 2))) (-.f64 m n))
(/.f64 (pow.f64 (.f64 1/2 (.f64 K (+.f64 n m))) 2) (/.f64 (-.f64 m n) (.f64 (.f64 1/2 K) (-.f64 (.f64 m m) (.f64 n n)))))
(.f64 (.f64 (/.f64 K (/.f64 (-.f64 m n) (-.f64 (.f64 m m) (.f64 n n)))) 1/2) (pow.f64 (.f64 1/2 (.f64 K (+.f64 n m))) 2))
(/.f64 (.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3)) (.f64 (.f64 K 1/2) (pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 2))) (fma.f64 m m (.f64 n (-.f64 n m))))
(/.f64 (pow.f64 (.f64 1/2 (.f64 K (+.f64 n m))) 2) (/.f64 (fma.f64 m m (.f64 n (-.f64 n m))) (.f64 1/2 (*.f64 K (+.f64 (pow.f64 m 3) (pow.f64 n 3))))))
(.f64 (.f64 (/.f64 1/2 (/.f64 (fma.f64 m m (.f64 n (-.f64 n m))) K)) (+.f64 (pow.f64 m 3) (pow.f64 n 3))) (pow.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) 2))
(/.f64 (.f64 (-.f64 (.f64 n n) (.f64 m m)) (.f64 (.f64 K 1/2) (pow.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)) 2))) (-.f64 n m))
(/.f64 (.f64 K (.f64 1/2 (pow.f64 (.f64 1/2 (.f64 K (+.f64 n m))) 2))) (/.f64 (-.f64 n m) (-.f64 (.f64 n n) (.f64 m m))))
(/.f64 K (/.f64 (/.f64 (-.f64 n m) (-.f64 (.f64 n n) (.f64 m m))) (.f64 1/2 (pow.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) 2))))
(/.f64 (.f64 (neg.f64 (-.f64 (.f64 m m) (.f64 n n))) (.f64 (.f64 K 1/2) (pow.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)) 2))) (neg.f64 (-.f64 m n)))
(/.f64 (.f64 K (.f64 1/2 (pow.f64 (.f64 1/2 (.f64 K (+.f64 n m))) 2))) (/.f64 (neg.f64 (-.f64 m n)) (neg.f64 (-.f64 (.f64 m m) (.f64 n n)))))
(/.f64 (.f64 -1/2 (.f64 K (-.f64 (.f64 m m) (.f64 n n)))) (/.f64 (neg.f64 (-.f64 m n)) (pow.f64 (.f64 1/2 (.f64 K (+.f64 n m))) 2)))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3))) (.f64 (.f64 K 1/2) (pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 2))) (neg.f64 (fma.f64 m m (.f64 n (-.f64 n m)))))
(/.f64 (.f64 (pow.f64 (.f64 1/2 (.f64 K (+.f64 n m))) 2) (.f64 (.f64 1/2 K) (neg.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3))))) (neg.f64 (fma.f64 m m (.f64 n (-.f64 n m)))))
(/.f64 (.f64 (pow.f64 (.f64 1/2 (.f64 K (+.f64 n m))) 2) (.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 (.f64 (.f64 (.f64 K 1/2) (-.f64 (.f64 m m) (.f64 n n))) (pow.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)) 2)) (-.f64 m n))
(/.f64 (pow.f64 (.f64 1/2 (.f64 K (+.f64 n m))) 2) (/.f64 (-.f64 m n) (.f64 (.f64 1/2 K) (-.f64 (.f64 m m) (.f64 n n)))))
(.f64 (.f64 (/.f64 K (/.f64 (-.f64 m n) (-.f64 (.f64 m m) (.f64 n n)))) 1/2) (pow.f64 (.f64 1/2 (.f64 K (+.f64 n m))) 2))
(/.f64 (.f64 (.f64 (.f64 K 1/2) (+.f64 (pow.f64 m 3) (pow.f64 n 3))) (pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 2)) (fma.f64 m m (.f64 n (-.f64 n m))))
(/.f64 (pow.f64 (.f64 1/2 (.f64 K (+.f64 n m))) 2) (/.f64 (fma.f64 m m (.f64 n (-.f64 n m))) (.f64 1/2 (*.f64 K (+.f64 (pow.f64 m 3) (pow.f64 n 3))))))
(.f64 (.f64 (/.f64 1/2 (/.f64 (fma.f64 m m (.f64 n (-.f64 n m))) K)) (+.f64 (pow.f64 m 3) (pow.f64 n 3))) (pow.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) 2))
(/.f64 (.f64 (.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K 1/2)) (pow.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)) 2)) (-.f64 m n))
(/.f64 (pow.f64 (.f64 1/2 (.f64 K (+.f64 n m))) 2) (/.f64 (-.f64 m n) (.f64 (.f64 1/2 K) (-.f64 (.f64 m m) (.f64 n n)))))
(.f64 (.f64 (/.f64 K (/.f64 (-.f64 m n) (-.f64 (.f64 m m) (.f64 n n)))) 1/2) (pow.f64 (.f64 1/2 (.f64 K (+.f64 n m))) 2))
(/.f64 (.f64 (.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3)) (.f64 K 1/2)) (pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 2)) (fma.f64 m m (.f64 n (-.f64 n m))))
(/.f64 (pow.f64 (.f64 1/2 (.f64 K (+.f64 n m))) 2) (/.f64 (fma.f64 m m (.f64 n (-.f64 n m))) (.f64 1/2 (*.f64 K (+.f64 (pow.f64 m 3) (pow.f64 n 3))))))
(.f64 (.f64 (/.f64 1/2 (/.f64 (fma.f64 m m (.f64 n (-.f64 n m))) K)) (+.f64 (pow.f64 m 3) (pow.f64 n 3))) (pow.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) 2))
(/.f64 (.f64 (.f64 (-.f64 (.f64 m m) (.f64 n n)) K) (.f64 1/2 (pow.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)) 2))) (-.f64 m n))
(/.f64 (pow.f64 (.f64 1/2 (.f64 K (+.f64 n m))) 2) (/.f64 (-.f64 m n) (.f64 (.f64 1/2 K) (-.f64 (.f64 m m) (.f64 n n)))))
(.f64 (.f64 (/.f64 K (/.f64 (-.f64 m n) (-.f64 (.f64 m m) (.f64 n n)))) 1/2) (pow.f64 (.f64 1/2 (.f64 K (+.f64 n m))) 2))
(/.f64 (.f64 (.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3)) K) (.f64 1/2 (pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 2))) (fma.f64 m m (.f64 n (-.f64 n m))))
(/.f64 (pow.f64 (.f64 1/2 (.f64 K (+.f64 n m))) 2) (/.f64 (fma.f64 m m (.f64 n (-.f64 n m))) (.f64 1/2 (*.f64 K (+.f64 (pow.f64 m 3) (pow.f64 n 3))))))
(.f64 (.f64 (/.f64 1/2 (/.f64 (fma.f64 m m (.f64 n (-.f64 n m))) K)) (+.f64 (pow.f64 m 3) (pow.f64 n 3))) (pow.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) 2))
(/.f64 (.f64 (.f64 (pow.f64 (+.f64 m n) 2) (-.f64 (.f64 m m) (.f64 n n))) (pow.f64 (*.f64 K 1/2) 3)) (-.f64 m n))
(/.f64 (.f64 (-.f64 (.f64 m m) (.f64 n n)) (pow.f64 (+.f64 n m) 2)) (/.f64 (-.f64 m n) (.f64 (pow.f64 K 3) 1/8)))
(.f64 (/.f64 (.f64 (pow.f64 K 3) 1/8) (-.f64 m n)) (.f64 (-.f64 (.f64 m m) (*.f64 n n)) (pow.f64 (+.f64 n m) 2)))
(/.f64 (.f64 (.f64 (pow.f64 (+.f64 m n) 2) (+.f64 (pow.f64 m 3) (pow.f64 n 3))) (pow.f64 (.f64 K 1/2) 3)) (fma.f64 m m (.f64 n (-.f64 n m))))
(/.f64 (.f64 (pow.f64 K 3) 1/8) (/.f64 (fma.f64 m m (.f64 n (-.f64 n m))) (*.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3)) (pow.f64 (+.f64 n m) 2))))
(.f64 (/.f64 (.f64 (pow.f64 K 3) 1/8) (fma.f64 m m (.f64 n (-.f64 n m)))) (.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3)) (pow.f64 (+.f64 n m) 2)))
(/.f64 (.f64 (pow.f64 (-.f64 (.f64 m m) (.f64 n n)) 3) (pow.f64 (.f64 K 1/2) 3)) (pow.f64 (-.f64 m n) 3))
(/.f64 (.f64 (pow.f64 K 3) 1/8) (/.f64 (pow.f64 (-.f64 m n) 3) (pow.f64 (-.f64 (.f64 m m) (*.f64 n n)) 3)))
(/.f64 (.f64 (pow.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3)) 3) (pow.f64 (.f64 K 1/2) 3)) (pow.f64 (fma.f64 m m (*.f64 n (-.f64 n m))) 3))
(/.f64 (.f64 (.f64 (pow.f64 K 3) 1/8) (pow.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3)) 3)) (pow.f64 (fma.f64 m m (*.f64 n (-.f64 n m))) 3))
(.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3)) 3) (pow.f64 (fma.f64 m m (.f64 n (-.f64 n m))) 3)) (*.f64 (pow.f64 K 3) 1/8))
(sqrt.f64 (pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 6))
(sqrt.f64 (pow.f64 (.f64 1/2 (.f64 K (+.f64 n m))) 6))
(log.f64 (exp.f64 (.f64 (pow.f64 (.f64 (+.f64 m n) K) 3) 1/8)))
(pow.f64 (.f64 1/2 (.f64 K (+.f64 n m))) 3)
(.f64 1/8 (pow.f64 (.f64 K (+.f64 n m)) 3))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 (.f64 (+.f64 m n) K) 3) 1/8))))
(pow.f64 (.f64 1/2 (.f64 K (+.f64 n m))) 3)
(.f64 1/8 (pow.f64 (.f64 K (+.f64 n m)) 3))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 (.f64 (+.f64 m n) K) 3) 1/8) 3))
(pow.f64 (.f64 1/2 (.f64 K (+.f64 n m))) 3)
(.f64 1/8 (pow.f64 (.f64 K (+.f64 n m)) 3))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 (.f64 (+.f64 m n) K) 3) 1/8)))
(pow.f64 (.f64 1/2 (.f64 K (+.f64 n m))) 3)
(.f64 1/8 (pow.f64 (.f64 K (+.f64 n m)) 3))
(exp.f64 (.f64 3 (log.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)))))
(pow.f64 (exp.f64 3) (log.f64 (.f64 1/2 (.f64 K (+.f64 n m)))))
(exp.f64 (.f64 (.f64 3 (log.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))) 1))
(pow.f64 (exp.f64 3) (log.f64 (.f64 1/2 (.f64 K (+.f64 n m)))))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 (.f64 (+.f64 m n) K) 3) 1/8)))
(pow.f64 (.f64 1/2 (.f64 K (+.f64 n m))) 3)
(.f64 1/8 (pow.f64 (.f64 K (+.f64 n m)) 3))

eval1.5s (8.5%)

Compiler: Compiled 78995 to 38849 computations (50.8% saved)

prune711.0ms (4.1%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	1684	22	1706
Fresh	12	2	14
Picked	1	0	1
Done	4	0	4
Total	1701	24	1725

Error

1.2b

Counts

1725 → 24

Alt Table

Click to see full alt table

Status	Error	Program
▶	48.3b	(/.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (exp.f64 l))
	46.8b	(/.f64 (cos.f64 M) (exp.f64 l))
	49.8b	(.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)) M)))) 1) (exp.f64 (neg.f64 l)))
	50.2b	(.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 (.f64 -1/2 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))) (.f64 K m))) (exp.f64 (neg.f64 l)))
▶	49.8b	(.f64 (log.f64 (exp.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)) M)))) (exp.f64 (neg.f64 l)))
	31.1b	(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 M M)))) (cos.f64 M))
	46.8b	(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
	57.7b	(.f64 (cos.f64 (-.f64 (pow.f64 (pow.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)) 3) 1/3) M)) (exp.f64 (neg.f64 l)))
	43.7b	(.f64 (cos.f64 (-.f64 (pow.f64 (expm1.f64 (log1p.f64 (.f64 (pow.f64 (*.f64 (+.f64 m n) K) 3) 1/8))) 1/3) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	49.9b	(.f64 (cos.f64 (-.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))) 3) M)) (exp.f64 (neg.f64 l)))
	60.0b	(.f64 (cos.f64 (-.f64 (/.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3)) (.f64 (/.f64 2 K) (fma.f64 m m (*.f64 n (-.f64 n m))))) M)) (exp.f64 (neg.f64 l)))
	49.6b	(*.f64 (cos.f64 (-.f64 (/.f64 K (pow.f64 (pow.f64 (/.f64 2 (+.f64 m n)) 3) 1/3)) M)) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) l) (fabs.f64 (-.f64 m n)))))
	49.9b	(.f64 (cos.f64 (-.f64 (/.f64 1 (/.f64 2 (.f64 (+.f64 m n) K))) M)) (exp.f64 (neg.f64 l)))
	43.7b	(.f64 (cos.f64 (-.f64 (.f64 (pow.f64 (pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 3/2) 1/3) (pow.f64 (pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 3/2) 1/3)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	16.3b	(.f64 (cos.f64 (-.f64 (.f64 (pow.f64 (cbrt.f64 K) 2) (.f64 (cbrt.f64 K) (.f64 (+.f64 m n) 1/2))) M)) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) l) (fabs.f64 (-.f64 m n)))))
	62.4b	(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (fabs.f64 (-.f64 m (+.f64 n (fma.f64 M M l))))))
▶	9.6b	(.f64 (cos.f64 (-.f64 (.f64 (*.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
▶	12.9b	(.f64 (cos.f64 (-.f64 (.f64 (neg.f64 n) (*.f64 K (cbrt.f64 -1/8))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	28.1b	(.f64 (cos.f64 M) (exp.f64 (.f64 (*.f64 n n) -1/4)))
	26.4b	(.f64 (cos.f64 M) (exp.f64 (.f64 (*.f64 m m) -1/4)))
	27.6b	(.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M))))
	54.2b	(log1p.f64 (expm1.f64 (.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)) M)) (exp.f64 l))))
	54.3b	(fabs.f64 (.f64 (exp.f64 l) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) M))))
▶	61.1b	(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))

Compiler

Compiled 1166 to 848 computations (27.3% saved)

localize75.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))
✓	0.2b	(.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8)))
✓	1.0b	(cbrt.f64 -1/8)
✓	25.3b	(cos.f64 (-.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M))

Compiler

Compiled 144 to 69 computations (52.1% saved)

series9.0ms (0%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	K	@	0	(.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8)))
2.0ms	m	@	0	(.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8)))
1.0ms	K	@	0	(cos.f64 (-.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M))
1.0ms	m	@	inf	(.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8)))
1.0ms	m	@	0	(cos.f64 (-.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M))

rewrite171.0ms (1%)

Algorithm

2×	egg-rewrite-iter-limit
3×	egg-rewrite
1×	batch-egg-rewrite

Rules

674×	`add-sqr-sqrt`
648×	`*-un-lft-identity`
638×	`associate-r`
620×	`add-cube-cbrt`
616×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	57
1	280	57
2	3707	57
0	13	31
1	280	31
2	3707	31
0	13	31
0	4	5
1	78	5
2	833	5
0	10	21
1	201	21
2	2456	21
0	10	21

Stop Event

1×	iter limit
1×	unsound
1×	node limit
1×	iter limit
1×	unsound
1×	unsound

Counts

3 → 57

Calls

Call 1

Inputs
(cos.f64 (-.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M))
(cbrt.f64 -1/8)
(.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8)))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cbrt.f64 -1/8) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cbrt.f64 -1/8) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 -1/8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 -1/8 1/6) (pow.f64 -1/8 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 -1/8)) (cbrt.f64 (cbrt.f64 1/64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 1/64)) (cbrt.f64 (cbrt.f64 -1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 -1/8 1/12) (pow.f64 -1/8 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 -1/8 1/12) (*.f64 (pow.f64 -1/8 1/12) (pow.f64 -1/8 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 -1/8) 1/6) (*.f64 (pow.f64 (cbrt.f64 -1/8) 1/6) (cbrt.f64 (cbrt.f64 1/64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 -1/8 1/4) (pow.f64 -1/8 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 1/64))) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 -1/8))) (cbrt.f64 (cbrt.f64 1/64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 1/4096))) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 1/64))) (cbrt.f64 (cbrt.f64 -1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 -1/8)) 5)) (pow.f64 (cbrt.f64 -1/8) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 -1/8 1/6) (cbrt.f64 (cbrt.f64 -1/8))) (pow.f64 (cbrt.f64 -1/8) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 -1/8)) (cbrt.f64 (cbrt.f64 (cbrt.f64 1/4096)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 1/64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 1/64)) (pow.f64 (cbrt.f64 -1/8) 1/6)) (pow.f64 (cbrt.f64 -1/8) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 1/64)) (cbrt.f64 (cbrt.f64 (cbrt.f64 1/64)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 -1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/8) 1/6) 3) (pow.f64 (pow.f64 (cbrt.f64 -1/8) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 1/64))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 -1/8))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (cbrt.f64 -1/8) 1) (+.f64 (cbrt.f64 -1/8) 1)) 1) (+.f64 (+.f64 (cbrt.f64 -1/8) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (cbrt.f64 -1/8) 1) 3) 1) (+.f64 (*.f64 (+.f64 (cbrt.f64 -1/8) 1) (+.f64 (cbrt.f64 -1/8) 1)) (+.f64 1 (+.f64 (cbrt.f64 -1/8) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 -1/8 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 -1/8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 -1/8 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 1/64) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 -1/8)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 1/64 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (log.f64 -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (cbrt.f64 -1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 -1/8)))) (sqrt.f64 (log.f64 (cbrt.f64 -1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 -1/8)) 2))) (cbrt.f64 (log.f64 (cbrt.f64 -1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 1/64))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 -1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 -1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 -1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 -1/8 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 -1/8))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 -1/8)))))))

((#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 K m) (neg.f64 (cbrt.f64 -1/8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 K m) (cbrt.f64 -1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (*.f64 K m) (neg.f64 (cbrt.f64 -1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 K m) (neg.f64 (cbrt.f64 -1/8))) (*.f64 (*.f64 K m) (neg.f64 (cbrt.f64 -1/8)))) (*.f64 (*.f64 K m) (neg.f64 (cbrt.f64 -1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 K m) (neg.f64 (cbrt.f64 -1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 K m) (neg.f64 (cbrt.f64 -1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 K m) (neg.f64 (cbrt.f64 -1/8)))))))))

simplify66.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1316×	`unswap-sqr`
1040×	`fma-def`
686×	`distribute-lft-in`
678×	`distribute-rgt-in`
538×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	199	3429
1	478	3081
2	2106	2883

Stop Event

1×	node limit

Counts

117 → 116

Calls

Call 1

Inputs
(cos.f64 (neg.f64 M))
(+.f64 (cos.f64 (neg.f64 M)) (.f64 K (.f64 (sin.f64 (neg.f64 M)) (*.f64 m (cbrt.f64 -1/8)))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (.f64 m (cbrt.f64 -1/8)))) (.f64 -1/2 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (*.f64 (pow.f64 m 2) (pow.f64 (cbrt.f64 -1/8) 2)))))))
(+.f64 (.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (sin.f64 (neg.f64 M)) (pow.f64 m 3)))) (+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (.f64 m (cbrt.f64 -1/8)))) (.f64 -1/2 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (.f64 (pow.f64 m 2) (pow.f64 (cbrt.f64 -1/8) 2))))))))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8)))) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8)))) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8)))) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8)))) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8)))) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8)))) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8)))) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8)))) M))
(cos.f64 (neg.f64 M))
(+.f64 (cos.f64 (neg.f64 M)) (.f64 K (.f64 (sin.f64 (neg.f64 M)) (*.f64 m (cbrt.f64 -1/8)))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (.f64 m (cbrt.f64 -1/8)))) (.f64 -1/2 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (*.f64 (pow.f64 m 2) (pow.f64 (cbrt.f64 -1/8) 2)))))))
(+.f64 (.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (sin.f64 (neg.f64 M)) (pow.f64 m 3)))) (+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (.f64 m (cbrt.f64 -1/8)))) (.f64 -1/2 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (.f64 (pow.f64 m 2) (pow.f64 (cbrt.f64 -1/8) 2))))))))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8)))) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8)))) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8)))) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8)))) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8)))) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8)))) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8)))) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8)))) M))
(cos.f64 (.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8)))))
(+.f64 (.f64 (sin.f64 (.f64 -1 (.f64 K (.f64 m (cbrt.f64 -1/8))))) M) (cos.f64 (.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8))))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 M 2) (cos.f64 (.f64 -1 (.f64 K (.f64 m (cbrt.f64 -1/8))))))) (+.f64 (.f64 (sin.f64 (.f64 -1 (.f64 K (.f64 m (cbrt.f64 -1/8))))) M) (cos.f64 (.f64 -1 (.f64 K (.f64 m (cbrt.f64 -1/8)))))))
(+.f64 (.f64 -1/6 (.f64 (sin.f64 (.f64 -1 (.f64 K (.f64 m (cbrt.f64 -1/8))))) (pow.f64 M 3))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 M 2) (cos.f64 (.f64 -1 (.f64 K (.f64 m (cbrt.f64 -1/8))))))) (+.f64 (.f64 (sin.f64 (.f64 -1 (.f64 K (.f64 m (cbrt.f64 -1/8))))) M) (cos.f64 (.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8))))))))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8)))) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8)))) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8)))) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8)))) M))
(cos.f64 (+.f64 (.f64 -1 (.f64 K (.f64 m (cbrt.f64 -1/8)))) (.f64 -1 M)))
(cos.f64 (+.f64 (.f64 -1 (.f64 K (.f64 m (cbrt.f64 -1/8)))) (.f64 -1 M)))
(cos.f64 (+.f64 (.f64 -1 (.f64 K (.f64 m (cbrt.f64 -1/8)))) (.f64 -1 M)))
(cos.f64 (+.f64 (.f64 -1 (.f64 K (.f64 m (cbrt.f64 -1/8)))) (.f64 -1 M)))
(.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8))))
(.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8))))
(.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8))))
(.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8))))
(.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8))))
(.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8))))
(.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8))))
(.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8))))
(.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8))))
(.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8))))
(.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8))))
(.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8))))
(.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8))))
(.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8))))
(.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8))))
(.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8))))
(.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8))))
(.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8))))
(.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8))))
(.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8))))
(.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8))))
(.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8))))
(.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8))))
(.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8))))
(+.f64 (.f64 (cos.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8)))) (cos.f64 M)) (.f64 (sin.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8)))) (sin.f64 M)))
(.f64 1 (cos.f64 (-.f64 (.f64 (*.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M)))
(.f64 (sqrt.f64 (cos.f64 (-.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M))) (sqrt.f64 (cos.f64 (-.f64 (.f64 (*.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M))))
(.f64 (.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M))) (cbrt.f64 (cos.f64 (-.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M)))) (cbrt.f64 (cos.f64 (-.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M))))
(pow.f64 (cos.f64 (-.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M)) 1)
(log.f64 (exp.f64 (cos.f64 (-.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M))))
(cbrt.f64 (.f64 (.f64 (cos.f64 (-.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M)) (cos.f64 (-.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M))) (cos.f64 (-.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M))))
(expm1.f64 (log1p.f64 (cos.f64 (-.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M))))
(exp.f64 (log.f64 (cos.f64 (-.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M))))
(log1p.f64 (expm1.f64 (cos.f64 (-.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M))))
(+.f64 (+.f64 (cbrt.f64 -1/8) 1) -1)
(-.f64 (+.f64 (cbrt.f64 -1/8) 1) 1)
(*.f64 (cbrt.f64 -1/8) 1)
(*.f64 1 (cbrt.f64 -1/8))
(*.f64 (pow.f64 -1/8 1/6) (pow.f64 -1/8 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 -1/8)) (cbrt.f64 (cbrt.f64 1/64)))
(*.f64 (cbrt.f64 (cbrt.f64 1/64)) (cbrt.f64 (cbrt.f64 -1/8)))
(*.f64 (pow.f64 -1/8 1/12) (pow.f64 -1/8 1/4))
(.f64 (pow.f64 -1/8 1/12) (.f64 (pow.f64 -1/8 1/12) (pow.f64 -1/8 1/6)))
(.f64 (pow.f64 (cbrt.f64 -1/8) 1/6) (.f64 (pow.f64 (cbrt.f64 -1/8) 1/6) (cbrt.f64 (cbrt.f64 1/64))))
(*.f64 (pow.f64 -1/8 1/4) (pow.f64 -1/8 1/12))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 1/64))) (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 -1/8))) (cbrt.f64 (cbrt.f64 1/64))))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 1/4096))) (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 1/64))) (cbrt.f64 (cbrt.f64 -1/8))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 -1/8)) 5)) (pow.f64 (cbrt.f64 -1/8) 1/6))
(.f64 (.f64 (pow.f64 -1/8 1/6) (cbrt.f64 (cbrt.f64 -1/8))) (pow.f64 (cbrt.f64 -1/8) 1/6))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 -1/8)) (cbrt.f64 (cbrt.f64 (cbrt.f64 1/4096)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 1/64))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 1/64)) (pow.f64 (cbrt.f64 -1/8) 1/6)) (pow.f64 (cbrt.f64 -1/8) 1/6))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 1/64)) (cbrt.f64 (cbrt.f64 (cbrt.f64 1/64)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 -1/8))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/8) 1/6) 3) (pow.f64 (pow.f64 (cbrt.f64 -1/8) 1/6) 3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 1/64))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 -1/8))) 3))
(/.f64 (-.f64 (*.f64 (+.f64 (cbrt.f64 -1/8) 1) (+.f64 (cbrt.f64 -1/8) 1)) 1) (+.f64 (+.f64 (cbrt.f64 -1/8) 1) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 (cbrt.f64 -1/8) 1) 3) 1) (+.f64 (*.f64 (+.f64 (cbrt.f64 -1/8) 1) (+.f64 (cbrt.f64 -1/8) 1)) (+.f64 1 (+.f64 (cbrt.f64 -1/8) 1))))
(pow.f64 -1/8 1/3)
(pow.f64 (cbrt.f64 -1/8) 1)
(pow.f64 (pow.f64 -1/8 1/6) 2)
(pow.f64 (cbrt.f64 1/64) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 -1/8)) 3)
(pow.f64 1/64 1/6)
(pow.f64 (exp.f64 1/3) (log.f64 -1/8))
(pow.f64 (E.f64) (log.f64 (cbrt.f64 -1/8)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 -1/8)))) (sqrt.f64 (log.f64 (cbrt.f64 -1/8))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 -1/8)) 2))) (cbrt.f64 (log.f64 (cbrt.f64 -1/8))))
(sqrt.f64 (cbrt.f64 1/64))
(fabs.f64 (cbrt.f64 -1/8))
(log.f64 (exp.f64 (cbrt.f64 -1/8)))
(expm1.f64 (log1p.f64 (cbrt.f64 -1/8)))
(exp.f64 (log.f64 (cbrt.f64 -1/8)))
(exp.f64 (*.f64 (log.f64 (pow.f64 -1/8 1/6)) 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 -1/8))) 3))
(log1p.f64 (expm1.f64 (cbrt.f64 -1/8)))
(pow.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) 1)
(neg.f64 (.f64 (.f64 K m) (cbrt.f64 -1/8)))
(log.f64 (exp.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8)))))
(cbrt.f64 (.f64 (.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8)))) (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8)))))
(expm1.f64 (log1p.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8)))))
(exp.f64 (log.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8)))))
(log1p.f64 (expm1.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8)))))

Outputs
(cos.f64 (neg.f64 M))
(cos.f64 M)
(+.f64 (cos.f64 (neg.f64 M)) (.f64 K (.f64 (sin.f64 (neg.f64 M)) (*.f64 m (cbrt.f64 -1/8)))))
(+.f64 (cos.f64 M) (.f64 K (.f64 (neg.f64 (sin.f64 M)) (*.f64 m (cbrt.f64 -1/8)))))
(fma.f64 K (.f64 (neg.f64 (sin.f64 M)) (.f64 m (cbrt.f64 -1/8))) (cos.f64 M))
(fma.f64 K (.f64 m (.f64 (cbrt.f64 -1/8) (neg.f64 (sin.f64 M)))) (cos.f64 M))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (.f64 m (cbrt.f64 -1/8)))) (.f64 -1/2 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (*.f64 (pow.f64 m 2) (pow.f64 (cbrt.f64 -1/8) 2)))))))
(+.f64 (cos.f64 M) (fma.f64 K (.f64 (neg.f64 (sin.f64 M)) (.f64 m (cbrt.f64 -1/8))) (.f64 -1/2 (.f64 (cos.f64 M) (.f64 (.f64 K K) (.f64 (.f64 m m) (pow.f64 (cbrt.f64 -1/8) 2)))))))
(+.f64 (fma.f64 K (.f64 (neg.f64 (sin.f64 M)) (.f64 m (cbrt.f64 -1/8))) (cos.f64 M)) (.f64 (cos.f64 M) (.f64 (pow.f64 (neg.f64 (.f64 m (.f64 (cbrt.f64 -1/8) K))) 2) -1/2)))
(fma.f64 (cos.f64 M) (.f64 (pow.f64 (.f64 K (.f64 (cbrt.f64 -1/8) (neg.f64 m))) 2) -1/2) (fma.f64 K (.f64 m (*.f64 (cbrt.f64 -1/8) (neg.f64 (sin.f64 M)))) (cos.f64 M)))
(+.f64 (.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (sin.f64 (neg.f64 M)) (pow.f64 m 3)))) (+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (.f64 m (cbrt.f64 -1/8)))) (.f64 -1/2 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (.f64 (pow.f64 m 2) (pow.f64 (cbrt.f64 -1/8) 2))))))))
(fma.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (neg.f64 (sin.f64 M)) (pow.f64 m 3))) (+.f64 (cos.f64 M) (fma.f64 K (.f64 (neg.f64 (sin.f64 M)) (.f64 m (cbrt.f64 -1/8))) (.f64 -1/2 (.f64 (cos.f64 M) (.f64 (.f64 K K) (.f64 (.f64 m m) (pow.f64 (cbrt.f64 -1/8) 2))))))))
(fma.f64 1/48 (.f64 (neg.f64 (sin.f64 M)) (.f64 (pow.f64 m 3) (pow.f64 K 3))) (+.f64 (fma.f64 K (.f64 (neg.f64 (sin.f64 M)) (.f64 m (cbrt.f64 -1/8))) (cos.f64 M)) (.f64 (cos.f64 M) (.f64 (pow.f64 (neg.f64 (.f64 m (.f64 (cbrt.f64 -1/8) K))) 2) -1/2))))
(fma.f64 1/48 (.f64 (neg.f64 (sin.f64 M)) (.f64 (pow.f64 m 3) (pow.f64 K 3))) (fma.f64 (cos.f64 M) (.f64 (pow.f64 (.f64 K (.f64 (cbrt.f64 -1/8) (neg.f64 m))) 2) -1/2) (fma.f64 K (.f64 m (*.f64 (cbrt.f64 -1/8) (neg.f64 (sin.f64 M)))) (cos.f64 M))))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8)))) M))
(cos.f64 (-.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M))
(cos.f64 (neg.f64 (fma.f64 (cbrt.f64 -1/8) (*.f64 K m) M)))
(cos.f64 (fma.f64 m (*.f64 K (cbrt.f64 -1/8)) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8)))) M))
(cos.f64 (-.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M))
(cos.f64 (neg.f64 (fma.f64 (cbrt.f64 -1/8) (*.f64 K m) M)))
(cos.f64 (fma.f64 m (*.f64 K (cbrt.f64 -1/8)) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8)))) M))
(cos.f64 (-.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M))
(cos.f64 (neg.f64 (fma.f64 (cbrt.f64 -1/8) (*.f64 K m) M)))
(cos.f64 (fma.f64 m (*.f64 K (cbrt.f64 -1/8)) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8)))) M))
(cos.f64 (-.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M))
(cos.f64 (neg.f64 (fma.f64 (cbrt.f64 -1/8) (*.f64 K m) M)))
(cos.f64 (fma.f64 m (*.f64 K (cbrt.f64 -1/8)) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8)))) M))
(cos.f64 (-.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M))
(cos.f64 (neg.f64 (fma.f64 (cbrt.f64 -1/8) (*.f64 K m) M)))
(cos.f64 (fma.f64 m (*.f64 K (cbrt.f64 -1/8)) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8)))) M))
(cos.f64 (-.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M))
(cos.f64 (neg.f64 (fma.f64 (cbrt.f64 -1/8) (*.f64 K m) M)))
(cos.f64 (fma.f64 m (*.f64 K (cbrt.f64 -1/8)) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8)))) M))
(cos.f64 (-.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M))
(cos.f64 (neg.f64 (fma.f64 (cbrt.f64 -1/8) (*.f64 K m) M)))
(cos.f64 (fma.f64 m (*.f64 K (cbrt.f64 -1/8)) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8)))) M))
(cos.f64 (-.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M))
(cos.f64 (neg.f64 (fma.f64 (cbrt.f64 -1/8) (*.f64 K m) M)))
(cos.f64 (fma.f64 m (*.f64 K (cbrt.f64 -1/8)) M))
(cos.f64 (neg.f64 M))
(cos.f64 M)
(+.f64 (cos.f64 (neg.f64 M)) (.f64 K (.f64 (sin.f64 (neg.f64 M)) (*.f64 m (cbrt.f64 -1/8)))))
(+.f64 (cos.f64 M) (.f64 K (.f64 (neg.f64 (sin.f64 M)) (*.f64 m (cbrt.f64 -1/8)))))
(fma.f64 K (.f64 (neg.f64 (sin.f64 M)) (.f64 m (cbrt.f64 -1/8))) (cos.f64 M))
(fma.f64 K (.f64 m (.f64 (cbrt.f64 -1/8) (neg.f64 (sin.f64 M)))) (cos.f64 M))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (.f64 m (cbrt.f64 -1/8)))) (.f64 -1/2 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (*.f64 (pow.f64 m 2) (pow.f64 (cbrt.f64 -1/8) 2)))))))
(+.f64 (cos.f64 M) (fma.f64 K (.f64 (neg.f64 (sin.f64 M)) (.f64 m (cbrt.f64 -1/8))) (.f64 -1/2 (.f64 (cos.f64 M) (.f64 (.f64 K K) (.f64 (.f64 m m) (pow.f64 (cbrt.f64 -1/8) 2)))))))
(+.f64 (fma.f64 K (.f64 (neg.f64 (sin.f64 M)) (.f64 m (cbrt.f64 -1/8))) (cos.f64 M)) (.f64 (cos.f64 M) (.f64 (pow.f64 (neg.f64 (.f64 m (.f64 (cbrt.f64 -1/8) K))) 2) -1/2)))
(fma.f64 (cos.f64 M) (.f64 (pow.f64 (.f64 K (.f64 (cbrt.f64 -1/8) (neg.f64 m))) 2) -1/2) (fma.f64 K (.f64 m (*.f64 (cbrt.f64 -1/8) (neg.f64 (sin.f64 M)))) (cos.f64 M)))
(+.f64 (.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (sin.f64 (neg.f64 M)) (pow.f64 m 3)))) (+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (.f64 m (cbrt.f64 -1/8)))) (.f64 -1/2 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (.f64 (pow.f64 m 2) (pow.f64 (cbrt.f64 -1/8) 2))))))))
(fma.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (neg.f64 (sin.f64 M)) (pow.f64 m 3))) (+.f64 (cos.f64 M) (fma.f64 K (.f64 (neg.f64 (sin.f64 M)) (.f64 m (cbrt.f64 -1/8))) (.f64 -1/2 (.f64 (cos.f64 M) (.f64 (.f64 K K) (.f64 (.f64 m m) (pow.f64 (cbrt.f64 -1/8) 2))))))))
(fma.f64 1/48 (.f64 (neg.f64 (sin.f64 M)) (.f64 (pow.f64 m 3) (pow.f64 K 3))) (+.f64 (fma.f64 K (.f64 (neg.f64 (sin.f64 M)) (.f64 m (cbrt.f64 -1/8))) (cos.f64 M)) (.f64 (cos.f64 M) (.f64 (pow.f64 (neg.f64 (.f64 m (.f64 (cbrt.f64 -1/8) K))) 2) -1/2))))
(fma.f64 1/48 (.f64 (neg.f64 (sin.f64 M)) (.f64 (pow.f64 m 3) (pow.f64 K 3))) (fma.f64 (cos.f64 M) (.f64 (pow.f64 (.f64 K (.f64 (cbrt.f64 -1/8) (neg.f64 m))) 2) -1/2) (fma.f64 K (.f64 m (*.f64 (cbrt.f64 -1/8) (neg.f64 (sin.f64 M)))) (cos.f64 M))))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8)))) M))
(cos.f64 (-.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M))
(cos.f64 (neg.f64 (fma.f64 (cbrt.f64 -1/8) (*.f64 K m) M)))
(cos.f64 (fma.f64 m (*.f64 K (cbrt.f64 -1/8)) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8)))) M))
(cos.f64 (-.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M))
(cos.f64 (neg.f64 (fma.f64 (cbrt.f64 -1/8) (*.f64 K m) M)))
(cos.f64 (fma.f64 m (*.f64 K (cbrt.f64 -1/8)) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8)))) M))
(cos.f64 (-.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M))
(cos.f64 (neg.f64 (fma.f64 (cbrt.f64 -1/8) (*.f64 K m) M)))
(cos.f64 (fma.f64 m (*.f64 K (cbrt.f64 -1/8)) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8)))) M))
(cos.f64 (-.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M))
(cos.f64 (neg.f64 (fma.f64 (cbrt.f64 -1/8) (*.f64 K m) M)))
(cos.f64 (fma.f64 m (*.f64 K (cbrt.f64 -1/8)) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8)))) M))
(cos.f64 (-.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M))
(cos.f64 (neg.f64 (fma.f64 (cbrt.f64 -1/8) (*.f64 K m) M)))
(cos.f64 (fma.f64 m (*.f64 K (cbrt.f64 -1/8)) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8)))) M))
(cos.f64 (-.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M))
(cos.f64 (neg.f64 (fma.f64 (cbrt.f64 -1/8) (*.f64 K m) M)))
(cos.f64 (fma.f64 m (*.f64 K (cbrt.f64 -1/8)) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8)))) M))
(cos.f64 (-.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M))
(cos.f64 (neg.f64 (fma.f64 (cbrt.f64 -1/8) (*.f64 K m) M)))
(cos.f64 (fma.f64 m (*.f64 K (cbrt.f64 -1/8)) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8)))) M))
(cos.f64 (-.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M))
(cos.f64 (neg.f64 (fma.f64 (cbrt.f64 -1/8) (*.f64 K m) M)))
(cos.f64 (fma.f64 m (*.f64 K (cbrt.f64 -1/8)) M))
(cos.f64 (.f64 -1 (.f64 K (*.f64 m (cbrt.f64 -1/8)))))
(cos.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))))
(cos.f64 (.f64 m (.f64 (cbrt.f64 -1/8) K)))
(cos.f64 (.f64 m (.f64 K (cbrt.f64 -1/8))))
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(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 1/64))) (.f64 (cbrt.f64 (cbrt.f64 1/64)) (cbrt.f64 (cbrt.f64 (cbrt.f64 -1/8)))))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 -1/8))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 1/64))) 4))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 1/4096))) (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 1/64))) (cbrt.f64 (cbrt.f64 -1/8))))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 1/4096))) (.f64 (cbrt.f64 (cbrt.f64 -1/8)) (cbrt.f64 (cbrt.f64 (cbrt.f64 1/64)))))
(.f64 (cbrt.f64 (cbrt.f64 -1/8)) (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 1/64))) (cbrt.f64 (cbrt.f64 (cbrt.f64 1/4096)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 -1/8)) 5)) (pow.f64 (cbrt.f64 -1/8) 1/6))
(*.f64 (pow.f64 (cbrt.f64 -1/8) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 -1/8)) 5)))
(*.f64 (pow.f64 (cbrt.f64 -1/8) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 -1/8)) 5/2))
(.f64 (.f64 (pow.f64 -1/8 1/6) (cbrt.f64 (cbrt.f64 -1/8))) (pow.f64 (cbrt.f64 -1/8) 1/6))
(.f64 (pow.f64 -1/8 1/6) (.f64 (cbrt.f64 (cbrt.f64 -1/8)) (pow.f64 (cbrt.f64 -1/8) 1/6)))
(.f64 (pow.f64 (cbrt.f64 -1/8) 1/6) (.f64 (pow.f64 -1/8 1/6) (cbrt.f64 (cbrt.f64 -1/8))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/8) 1/6) 3) (pow.f64 -1/8 1/6))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 -1/8)) (cbrt.f64 (cbrt.f64 (cbrt.f64 1/4096)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 1/64))))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 1/4096))) (.f64 (cbrt.f64 (cbrt.f64 -1/8)) (cbrt.f64 (cbrt.f64 (cbrt.f64 1/64)))))
(.f64 (cbrt.f64 (cbrt.f64 -1/8)) (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 1/64))) (cbrt.f64 (cbrt.f64 (cbrt.f64 1/4096)))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 1/64)) (pow.f64 (cbrt.f64 -1/8) 1/6)) (pow.f64 (cbrt.f64 -1/8) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 -1/8)) (cbrt.f64 (cbrt.f64 1/64)))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 1/64)) (cbrt.f64 (cbrt.f64 (cbrt.f64 1/64)))) (cbrt.f64 (cbrt.f64 (cbrt.f64 -1/8))))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 1/64))) (.f64 (cbrt.f64 (cbrt.f64 1/64)) (cbrt.f64 (cbrt.f64 (cbrt.f64 -1/8)))))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 -1/8))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 1/64))) 4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 -1/8) 1/6) 3) (pow.f64 (pow.f64 (cbrt.f64 -1/8) 1/6) 3))
(+.f64 (cbrt.f64 -1/8) 0)
(cbrt.f64 -1/8)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 1/64))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 -1/8))) 3))
(*.f64 (cbrt.f64 (cbrt.f64 -1/8)) (cbrt.f64 (cbrt.f64 1/64)))
(/.f64 (-.f64 (*.f64 (+.f64 (cbrt.f64 -1/8) 1) (+.f64 (cbrt.f64 -1/8) 1)) 1) (+.f64 (+.f64 (cbrt.f64 -1/8) 1) 1))
(/.f64 (*.f64 (+.f64 (cbrt.f64 -1/8) 2) (+.f64 (cbrt.f64 -1/8) 0)) (+.f64 (cbrt.f64 -1/8) 2))
(/.f64 (*.f64 (cbrt.f64 -1/8) (+.f64 (cbrt.f64 -1/8) 2)) (+.f64 (cbrt.f64 -1/8) 2))
(*.f64 (/.f64 (+.f64 (cbrt.f64 -1/8) 2) (+.f64 (cbrt.f64 -1/8) 2)) (cbrt.f64 -1/8))
(/.f64 (-.f64 (pow.f64 (+.f64 (cbrt.f64 -1/8) 1) 3) 1) (+.f64 (*.f64 (+.f64 (cbrt.f64 -1/8) 1) (+.f64 (cbrt.f64 -1/8) 1)) (+.f64 1 (+.f64 (cbrt.f64 -1/8) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 (cbrt.f64 -1/8) 1) 3) -1) (fma.f64 (+.f64 (cbrt.f64 -1/8) 1) (+.f64 (cbrt.f64 -1/8) 1) (+.f64 (cbrt.f64 -1/8) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (cbrt.f64 -1/8) 1) 3)) (fma.f64 (+.f64 (cbrt.f64 -1/8) 1) (+.f64 (cbrt.f64 -1/8) 1) (+.f64 (cbrt.f64 -1/8) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (cbrt.f64 -1/8) 1) 3)) (+.f64 1 (*.f64 (+.f64 (cbrt.f64 -1/8) 1) (+.f64 (cbrt.f64 -1/8) 2))))
(pow.f64 -1/8 1/3)
(+.f64 (cbrt.f64 -1/8) 0)
(cbrt.f64 -1/8)
(pow.f64 (cbrt.f64 -1/8) 1)
(+.f64 (cbrt.f64 -1/8) 0)
(cbrt.f64 -1/8)
(pow.f64 (pow.f64 -1/8 1/6) 2)
(+.f64 (cbrt.f64 -1/8) 0)
(cbrt.f64 -1/8)
(pow.f64 (cbrt.f64 1/64) 1/2)
(sqrt.f64 (cbrt.f64 1/64))
(pow.f64 (cbrt.f64 (cbrt.f64 -1/8)) 3)
(+.f64 (cbrt.f64 -1/8) 0)
(cbrt.f64 -1/8)
(pow.f64 1/64 1/6)
(pow.f64 (exp.f64 1/3) (log.f64 -1/8))
(+.f64 (cbrt.f64 -1/8) 0)
(cbrt.f64 -1/8)
(pow.f64 (E.f64) (log.f64 (cbrt.f64 -1/8)))
(+.f64 (cbrt.f64 -1/8) 0)
(cbrt.f64 -1/8)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 -1/8)))) (sqrt.f64 (log.f64 (cbrt.f64 -1/8))))
(+.f64 (cbrt.f64 -1/8) 0)
(cbrt.f64 -1/8)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 -1/8)) 2))) (cbrt.f64 (log.f64 (cbrt.f64 -1/8))))
(sqrt.f64 (cbrt.f64 1/64))
(fabs.f64 (cbrt.f64 -1/8))
(+.f64 (cbrt.f64 -1/8) 0)
(cbrt.f64 -1/8)
(log.f64 (exp.f64 (cbrt.f64 -1/8)))
(+.f64 (cbrt.f64 -1/8) 0)
(cbrt.f64 -1/8)
(expm1.f64 (log1p.f64 (cbrt.f64 -1/8)))
(+.f64 (cbrt.f64 -1/8) 0)
(cbrt.f64 -1/8)
(exp.f64 (log.f64 (cbrt.f64 -1/8)))
(+.f64 (cbrt.f64 -1/8) 0)
(cbrt.f64 -1/8)
(exp.f64 (*.f64 (log.f64 (pow.f64 -1/8 1/6)) 2))
(+.f64 (cbrt.f64 -1/8) 0)
(cbrt.f64 -1/8)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 -1/8))) 3))
(+.f64 (cbrt.f64 -1/8) 0)
(cbrt.f64 -1/8)
(log1p.f64 (expm1.f64 (cbrt.f64 -1/8)))
(+.f64 (cbrt.f64 -1/8) 0)
(cbrt.f64 -1/8)
(pow.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) 1)
(.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8)))
(neg.f64 (.f64 m (.f64 (cbrt.f64 -1/8) K)))
(.f64 K (.f64 (cbrt.f64 -1/8) (neg.f64 m)))
(neg.f64 (.f64 (.f64 K m) (cbrt.f64 -1/8)))
(.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8)))
(neg.f64 (.f64 m (.f64 (cbrt.f64 -1/8) K)))
(.f64 K (.f64 (cbrt.f64 -1/8) (neg.f64 m)))
(log.f64 (exp.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8)))))
(.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8)))
(neg.f64 (.f64 m (.f64 (cbrt.f64 -1/8) K)))
(.f64 K (.f64 (cbrt.f64 -1/8) (neg.f64 m)))
(cbrt.f64 (.f64 (.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8)))) (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8)))))
(.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8)))
(neg.f64 (.f64 m (.f64 (cbrt.f64 -1/8) K)))
(.f64 K (.f64 (cbrt.f64 -1/8) (neg.f64 m)))
(expm1.f64 (log1p.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8)))))
(.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8)))
(neg.f64 (.f64 m (.f64 (cbrt.f64 -1/8) K)))
(.f64 K (.f64 (cbrt.f64 -1/8) (neg.f64 m)))
(exp.f64 (log.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8)))))
(.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8)))
(neg.f64 (.f64 m (.f64 (cbrt.f64 -1/8) K)))
(.f64 K (.f64 (cbrt.f64 -1/8) (neg.f64 m)))
(log1p.f64 (expm1.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8)))))
(.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8)))
(neg.f64 (.f64 m (.f64 (cbrt.f64 -1/8) K)))
(.f64 K (.f64 (cbrt.f64 -1/8) (neg.f64 m)))

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 K (+.f64 n m))
✓	35.1b	(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))

Compiler

Compiled 44 to 17 computations (61.4% saved)

series2.0ms (0%)

Counts

2 → 52

Calls

21 calls:

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

rewrite86.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1420×	`associate-*r/`
1144×	`associate-*l/`
318×	`add-sqr-sqrt`
312×	`pow1`
312×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	293	42
2	4053	42

Stop Event

1×	node limit

Counts

2 → 98

Calls

Call 1

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

Outputs

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

simplify140.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1504×	`distribute-lft-in`
1426×	`associate-/r*`
784×	`associate-r`
676×	`associate-*r/`
656×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	358	7132
1	1018	6938
2	4355	6938

Stop Event

1×	node limit

Counts

150 → 198

Calls

Call 1

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

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

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 1/2 (.f64 K m)) M)
✓	0.0b	(/.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (exp.f64 l))
✓	0.2b	(.f64 1/2 (.f64 K m))
✓	25.3b	(cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))

Compiler

Compiled 46 to 22 computations (52.2% saved)

series24.0ms (0.1%)

Counts

4 → 72

Calls

36 calls:

Time	Variable		Point	Expression
14.0ms	K	@	0	(/.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (exp.f64 l))
1.0ms	l	@	inf	(/.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (exp.f64 l))
1.0ms	l	@	0	(/.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (exp.f64 l))
1.0ms	K	@	0	(cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))
0.0ms	M	@	0	(/.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (exp.f64 l))

rewrite109.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1084×	`associate-*r/`
856×	`associate-*l/`
718×	`associate-/r*`
660×	`distribute-lft-in`
626×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	88
1	300	88
2	3932	88

Stop Event

1×	node limit

Counts

4 → 193

Calls

Call 1

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

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

simplify163.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1318×	`+-commutative`
1114×	`associate-r`
936×	`fma-def`
930×	`associate-l`
632×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	558	13281
1	1633	12807
2	7903	12807

Stop Event

1×	node limit

Counts

265 → 338

Calls

Call 1

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

Outputs
(cos.f64 (neg.f64 M))
(cos.f64 M)
(+.f64 (.f64 -1/2 (.f64 K (*.f64 (sin.f64 (neg.f64 M)) m))) (cos.f64 (neg.f64 M)))
(fma.f64 -1/2 (.f64 K (.f64 (neg.f64 (sin.f64 M)) m)) (cos.f64 M))
(+.f64 (.f64 -1/2 (.f64 K (.f64 (sin.f64 (neg.f64 M)) m))) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (cos.f64 (neg.f64 M))))
(fma.f64 -1/2 (.f64 K (.f64 (neg.f64 (sin.f64 M)) m)) (fma.f64 -1/8 (.f64 (cos.f64 M) (.f64 (.f64 K K) (.f64 m m))) (cos.f64 M)))
(fma.f64 -1/2 (.f64 K (.f64 (neg.f64 (sin.f64 M)) m)) (fma.f64 (.f64 (cos.f64 M) -1/8) (pow.f64 (.f64 K m) 2) (cos.f64 M)))
(+.f64 (.f64 -1/2 (.f64 K (.f64 (sin.f64 (neg.f64 M)) m))) (+.f64 (.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (sin.f64 (neg.f64 M)) (pow.f64 m 3)))) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (*.f64 (pow.f64 K 2) (pow.f64 m 2)))) (cos.f64 (neg.f64 M)))))
(fma.f64 -1/2 (.f64 K (.f64 (neg.f64 (sin.f64 M)) m)) (fma.f64 1/48 (.f64 (.f64 (pow.f64 K 3) (neg.f64 (sin.f64 M))) (pow.f64 m 3)) (fma.f64 -1/8 (.f64 (cos.f64 M) (.f64 (.f64 K K) (.f64 m m))) (cos.f64 M))))
(fma.f64 -1/2 (.f64 K (.f64 (neg.f64 (sin.f64 M)) m)) (fma.f64 1/48 (.f64 (neg.f64 (sin.f64 M)) (pow.f64 (.f64 K m) 3)) (fma.f64 (.f64 (cos.f64 M) -1/8) (pow.f64 (.f64 K m) 2) (cos.f64 M))))
(cos.f64 (neg.f64 M))
(cos.f64 M)
(+.f64 (.f64 -1/2 (.f64 K (*.f64 (sin.f64 (neg.f64 M)) m))) (cos.f64 (neg.f64 M)))
(fma.f64 -1/2 (.f64 K (.f64 (neg.f64 (sin.f64 M)) m)) (cos.f64 M))
(+.f64 (.f64 -1/2 (.f64 K (.f64 (sin.f64 (neg.f64 M)) m))) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (cos.f64 (neg.f64 M))))
(fma.f64 -1/2 (.f64 K (.f64 (neg.f64 (sin.f64 M)) m)) (fma.f64 -1/8 (.f64 (cos.f64 M) (.f64 (.f64 K K) (.f64 m m))) (cos.f64 M)))
(fma.f64 -1/2 (.f64 K (.f64 (neg.f64 (sin.f64 M)) m)) (fma.f64 (.f64 (cos.f64 M) -1/8) (pow.f64 (.f64 K m) 2) (cos.f64 M)))
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(/.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 (.f64 K m) 2) 1/4) (.f64 (pow.f64 (.f64 K m) 2) 1/4)) (.f64 (.f64 M M) (.f64 M M))) (/.f64 1 (fma.f64 1/2 (.f64 K m) M))) (+.f64 (.f64 (pow.f64 (.f64 K m) 2) 1/4) (*.f64 M M)))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (.f64 K m) 2) (pow.f64 (.f64 K m) 2)) 1/16) (.f64 M (pow.f64 M 3))) (.f64 (fma.f64 1/2 (.f64 K m) M) (fma.f64 (pow.f64 (.f64 K m) 2) 1/4 (*.f64 M M))))
(/.f64 (fma.f64 (pow.f64 (.f64 K m) 4) 1/16 (neg.f64 (pow.f64 M 4))) (.f64 (fma.f64 (.f64 K 1/2) m M) (fma.f64 (pow.f64 (.f64 K m) 2) 1/4 (*.f64 M M))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (.f64 K m) 2) 1/4) 3) (pow.f64 (.f64 M M) 3)) (/.f64 1 (fma.f64 1/2 (.f64 K m) M))) (+.f64 (.f64 (.f64 (pow.f64 (.f64 K m) 2) 1/4) (.f64 (pow.f64 (.f64 K m) 2) 1/4)) (+.f64 (.f64 (.f64 M M) (.f64 M M)) (.f64 (.f64 (pow.f64 (.f64 K m) 2) 1/4) (*.f64 M M)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (.f64 K m) 2) 1/4) 3) (pow.f64 M 6)) (fma.f64 1/2 (.f64 K m) M)) (+.f64 (.f64 (.f64 (pow.f64 (.f64 K m) 2) (pow.f64 (.f64 K m) 2)) 1/16) (.f64 (.f64 M M) (fma.f64 (pow.f64 (.f64 K m) 2) 1/4 (*.f64 M M)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 K m) 6) 1/64) (pow.f64 M 6)) (.f64 (fma.f64 (.f64 K 1/2) m M) (fma.f64 (.f64 M M) (fma.f64 (pow.f64 (.f64 K m) 2) 1/4 (.f64 M M)) (.f64 (pow.f64 (*.f64 K m) 4) 1/16))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 (.f64 K m) 3) 1/8) (.f64 (pow.f64 (.f64 K m) 3) 1/8)) (.f64 (pow.f64 M 3) (pow.f64 M 3))) (/.f64 1 (+.f64 (.f64 (pow.f64 (.f64 K m) 2) 1/4) (.f64 M (fma.f64 1/2 (.f64 K m) M))))) (+.f64 (.f64 (pow.f64 (*.f64 K m) 3) 1/8) (pow.f64 M 3)))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (.f64 K m) 3) (pow.f64 (.f64 K m) 3)) 1/64) (pow.f64 M 6)) (.f64 (fma.f64 (pow.f64 (.f64 K m) 2) 1/4 (.f64 M (fma.f64 1/2 (.f64 K m) M))) (fma.f64 (pow.f64 (*.f64 K m) 3) 1/8 (pow.f64 M 3))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 K m) 6) 1/64) (pow.f64 M 6)) (.f64 (fma.f64 M (fma.f64 (.f64 K 1/2) m M) (.f64 (pow.f64 (.f64 K m) 2) 1/4)) (fma.f64 (pow.f64 (*.f64 K m) 3) 1/8 (pow.f64 M 3))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (.f64 K m) 3) 1/8) 3) (pow.f64 (pow.f64 M 3) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 (.f64 K m) 2) 1/4) (.f64 M (fma.f64 1/2 (.f64 K m) M))))) (+.f64 (.f64 (.f64 (pow.f64 (.f64 K m) 3) 1/8) (.f64 (pow.f64 (.f64 K m) 3) 1/8)) (+.f64 (.f64 (pow.f64 M 3) (pow.f64 M 3)) (.f64 (.f64 (pow.f64 (.f64 K m) 3) 1/8) (pow.f64 M 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (.f64 K m) 3) 1/8) 3) (pow.f64 (pow.f64 M 3) 3)) (fma.f64 (pow.f64 (.f64 K m) 2) 1/4 (.f64 M (fma.f64 1/2 (.f64 K m) M)))) (+.f64 (.f64 (.f64 (pow.f64 (.f64 K m) 3) (pow.f64 (.f64 K m) 3)) 1/64) (.f64 (pow.f64 M 3) (fma.f64 (pow.f64 (*.f64 K m) 3) 1/8 (pow.f64 M 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 (.f64 K m) 3) 1/8) 3) (pow.f64 (pow.f64 M 3) 3)) (fma.f64 M (fma.f64 (.f64 K 1/2) m M) (.f64 (pow.f64 (.f64 K m) 2) 1/4))) (fma.f64 (pow.f64 M 3) (fma.f64 (pow.f64 (.f64 K m) 3) 1/8 (pow.f64 M 3)) (.f64 (pow.f64 (.f64 K m) 6) 1/64)))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (.f64 K m) 2) 1/4) (.f64 M M)) 1) (fma.f64 1/2 (.f64 K m) M))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 K m) 2) 1/4) (.f64 M M)) (fma.f64 1/2 (.f64 K m) M))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 K m) 2) 1/4) (.f64 M M)) (fma.f64 (.f64 K 1/2) m M))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (.f64 K m) 2) 1/4) (.f64 M M)) (sqrt.f64 (fma.f64 1/2 (.f64 K m) M))) (sqrt.f64 (fma.f64 1/2 (*.f64 K m) M)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 K m) 2) 1/4) (.f64 M M)) (fma.f64 1/2 (.f64 K m) M))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 K m) 2) 1/4) (.f64 M M)) (fma.f64 (.f64 K 1/2) m M))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (.f64 K m) 2) 1/4) (.f64 M M)) (.f64 (cbrt.f64 (fma.f64 1/2 (.f64 K m) M)) (cbrt.f64 (fma.f64 1/2 (.f64 K m) M)))) (cbrt.f64 (fma.f64 1/2 (*.f64 K m) M)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 K m) 2) 1/4) (.f64 M M)) (fma.f64 1/2 (.f64 K m) M))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 K m) 2) 1/4) (.f64 M M)) (fma.f64 (.f64 K 1/2) m M))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (.f64 K m) 3) 1/8) (pow.f64 M 3)) 1) (+.f64 (.f64 (pow.f64 (.f64 K m) 2) 1/4) (.f64 M (fma.f64 1/2 (.f64 K m) M))))
(/.f64 (fma.f64 (pow.f64 (.f64 K m) 3) 1/8 (pow.f64 (neg.f64 M) 3)) (fma.f64 (pow.f64 (.f64 K m) 2) 1/4 (.f64 M (fma.f64 1/2 (.f64 K m) M))))
(/.f64 (fma.f64 (pow.f64 (.f64 K m) 3) 1/8 (pow.f64 (neg.f64 M) 3)) (fma.f64 M (fma.f64 (.f64 K 1/2) m M) (.f64 (pow.f64 (.f64 K m) 2) 1/4)))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (.f64 K m) 3) 1/8) (pow.f64 M 3)) (sqrt.f64 (+.f64 (.f64 (pow.f64 (.f64 K m) 2) 1/4) (.f64 M (fma.f64 1/2 (.f64 K m) M))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 (.f64 K m) 2) 1/4) (.f64 M (fma.f64 1/2 (.f64 K m) M)))))
(/.f64 (fma.f64 (pow.f64 (.f64 K m) 3) 1/8 (pow.f64 (neg.f64 M) 3)) (fma.f64 (pow.f64 (.f64 K m) 2) 1/4 (.f64 M (fma.f64 1/2 (.f64 K m) M))))
(/.f64 (fma.f64 (pow.f64 (.f64 K m) 3) 1/8 (pow.f64 (neg.f64 M) 3)) (fma.f64 M (fma.f64 (.f64 K 1/2) m M) (.f64 (pow.f64 (.f64 K m) 2) 1/4)))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (.f64 K m) 3) 1/8) (pow.f64 M 3)) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 (.f64 K m) 2) 1/4) (.f64 M (fma.f64 1/2 (.f64 K m) M)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 (.f64 K m) 2) 1/4) (.f64 M (fma.f64 1/2 (.f64 K m) M)))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 (.f64 K m) 2) 1/4) (.f64 M (fma.f64 1/2 (*.f64 K m) M)))))
(/.f64 (fma.f64 (pow.f64 (.f64 K m) 3) 1/8 (pow.f64 (neg.f64 M) 3)) (fma.f64 (pow.f64 (.f64 K m) 2) 1/4 (.f64 M (fma.f64 1/2 (.f64 K m) M))))
(/.f64 (fma.f64 (pow.f64 (.f64 K m) 3) 1/8 (pow.f64 (neg.f64 M) 3)) (fma.f64 M (fma.f64 (.f64 K 1/2) m M) (.f64 (pow.f64 (.f64 K m) 2) 1/4)))
(pow.f64 (-.f64 (.f64 1/2 (.f64 K m)) M) 1)
(-.f64 (.f64 (.f64 K 1/2) m) M)
(-.f64 (.f64 K (.f64 m 1/2)) M)
(pow.f64 (sqrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 2)
(-.f64 (.f64 (.f64 K 1/2) m) M)
(-.f64 (.f64 K (.f64 m 1/2)) M)
(pow.f64 (cbrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 3)
(-.f64 (.f64 (.f64 K 1/2) m) M)
(-.f64 (.f64 K (.f64 m 1/2)) M)
(pow.f64 (pow.f64 (-.f64 (.f64 1/2 (.f64 K m)) M) 3) 1/3)
(-.f64 (.f64 (.f64 K 1/2) m) M)
(-.f64 (.f64 K (.f64 m 1/2)) M)
(sqrt.f64 (pow.f64 (-.f64 (.f64 1/2 (.f64 K m)) M) 2))
(sqrt.f64 (pow.f64 (-.f64 (.f64 (.f64 K 1/2) m) M) 2))
(fabs.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
(log.f64 (exp.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))
(-.f64 (.f64 (.f64 K 1/2) m) M)
(-.f64 (.f64 K (.f64 m 1/2)) M)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))
(-.f64 (.f64 (.f64 K 1/2) m) M)
(-.f64 (.f64 K (.f64 m 1/2)) M)
(cbrt.f64 (pow.f64 (-.f64 (.f64 1/2 (.f64 K m)) M) 3))
(-.f64 (.f64 (.f64 K 1/2) m) M)
(-.f64 (.f64 K (.f64 m 1/2)) M)
(expm1.f64 (log1p.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))
(-.f64 (.f64 (.f64 K 1/2) m) M)
(-.f64 (.f64 K (.f64 m 1/2)) M)
(exp.f64 (log.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))
(-.f64 (.f64 (.f64 K 1/2) m) M)
(-.f64 (.f64 K (.f64 m 1/2)) M)
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)) 1))
(-.f64 (.f64 (.f64 K 1/2) m) M)
(-.f64 (.f64 K (.f64 m 1/2)) M)
(log1p.f64 (expm1.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))
(-.f64 (.f64 (.f64 K 1/2) m) M)
(-.f64 (.f64 K (.f64 m 1/2)) M)
(fma.f64 1/2 (*.f64 K m) (neg.f64 M))
(-.f64 (.f64 (.f64 K 1/2) m) M)
(-.f64 (.f64 K (.f64 m 1/2)) M)
(fma.f64 (*.f64 K m) 1/2 (neg.f64 M))
(-.f64 (.f64 (.f64 K 1/2) m) M)
(-.f64 (.f64 K (.f64 m 1/2)) M)
(fma.f64 1 (.f64 1/2 (.f64 K m)) (neg.f64 M))
(-.f64 (.f64 (.f64 K 1/2) m) M)
(-.f64 (.f64 K (.f64 m 1/2)) M)
(fma.f64 (sqrt.f64 (.f64 1/2 (.f64 K m))) (sqrt.f64 (.f64 1/2 (.f64 K m))) (neg.f64 M))
(-.f64 (.f64 (.f64 K 1/2) m) M)
(-.f64 (.f64 K (.f64 m 1/2)) M)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (.f64 K m))) 2) (cbrt.f64 (.f64 1/2 (.f64 K m))) (neg.f64 M))
(-.f64 (.f64 (.f64 K 1/2) m) M)
(-.f64 (.f64 K (.f64 m 1/2)) M)
(fma.f64 (*.f64 1/2 K) m (neg.f64 M))
(-.f64 (.f64 (.f64 K 1/2) m) M)
(-.f64 (.f64 K (.f64 m 1/2)) M)

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (+.f64 m n) (.f64 K 1/2))
✓	0.1b	(exp.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))
✓	0.6b	(log.f64 (exp.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))))
✓	35.1b	(cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))

Compiler

Compiled 87 to 44 computations (49.4% saved)

series8.0ms (0%)

Counts

4 → 180

Calls

45 calls:

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

rewrite110.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	110
1	317	110
2	4068	110

Stop Event

1×	node limit

Counts

4 → 177

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (cos.f64 M)) (.f64 (sin.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (sin.f64 M)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (sin.f64 M)) (.f64 (cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (cos.f64 M)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))) (#(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 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)))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) 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simplify230.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1220×	`associate-r`
938×	`associate-+r+`
854×	`associate-+l+`
846×	`associate-l`
768×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	539	18585
1	1564	18331
2	6617	18331

Stop Event

1×	node limit

Counts

357 → 266

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

localize52.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
	0.0b	(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))
	1.0b	(cbrt.f64 -1/8)
✓	26.1b	(cos.f64 (-.f64 (.f64 (neg.f64 n) (.f64 K (cbrt.f64 -1/8))) M))

Compiler

Compiled 144 to 69 computations (52.1% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	M	@	0	(cos.f64 (-.f64 (.f64 (neg.f64 n) (.f64 K (cbrt.f64 -1/8))) M))
1.0ms	K	@	0	(cos.f64 (-.f64 (.f64 (neg.f64 n) (.f64 K (cbrt.f64 -1/8))) M))
0.0ms	n	@	0	(cos.f64 (-.f64 (.f64 (neg.f64 n) (.f64 K (cbrt.f64 -1/8))) M))
0.0ms	n	@	inf	(cos.f64 (-.f64 (.f64 (neg.f64 n) (.f64 K (cbrt.f64 -1/8))) M))
0.0ms	K	@	inf	(cos.f64 (-.f64 (.f64 (neg.f64 n) (.f64 K (cbrt.f64 -1/8))) M))

rewrite70.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

836×	`swap-sqr`
646×	`distribute-rgt-in`
608×	`associate-*r/`
602×	`distribute-lft-in`
486×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	280	27
2	3708	27

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(cos.f64 (-.f64 (.f64 (neg.f64 n) (.f64 K (cbrt.f64 -1/8))) M))

Outputs

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

simplify86.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1552×	`associate-*r/`
1212×	`associate-/l*`
1118×	`associate-*l/`
944×	`fma-def`
856×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	161	3998
1	463	3938
2	1659	3898
3	4278	3898

Stop Event

1×	node limit

Counts

74 → 92

Calls

Call 1

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

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

eval785.0ms (4.5%)

Compiler: Compiled 49486 to 25877 computations (47.7% saved)

prune632.0ms (3.6%)

Pruning

36 alts after pruning (36 fresh and 0 done)

	Pruned	Kept	Total
New	1429	26	1455
Fresh	9	10	19
Picked	1	0	1
Done	4	0	4
Total	1443	36	1479

Error

1.2b

Counts

1479 → 36

Alt Table

Click to see full alt table

Status	Error	Program
▶	48.3b	(/.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))) 1) (exp.f64 l))
	48.3b	(/.f64 (log.f64 (exp.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))) (exp.f64 l))
	48.3b	(/.f64 (cos.f64 (.f64 (.f64 K 1/2) m)) (exp.f64 l))
	46.8b	(/.f64 (cos.f64 M) (exp.f64 l))
	61.4b	(+.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))))
	12.9b	(.f64 (/.f64 (fma.f64 (cos.f64 (.f64 K (.f64 (cbrt.f64 -1/8) n))) (.f64 (cos.f64 M) (.f64 (cos.f64 M) (cos.f64 (.f64 K (.f64 (cbrt.f64 -1/8) n))))) (.f64 (sin.f64 (.f64 K (.f64 (cbrt.f64 -1/8) n))) (.f64 (sin.f64 M) (.f64 (sin.f64 (.f64 K (.f64 (cbrt.f64 -1/8) n))) (sin.f64 M))))) (cos.f64 (fma.f64 n (*.f64 K (cbrt.f64 -1/8)) M))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	9.6b	(.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M))) (cbrt.f64 (cos.f64 (-.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M)))) (cbrt.f64 (cos.f64 (-.f64 (.f64 (*.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	12.8b	(.f64 (sqrt.f64 (pow.f64 (cos.f64 (neg.f64 (fma.f64 (.f64 n K) (cbrt.f64 -1/8) M))) 2)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	49.9b	(.f64 (log.f64 (exp.f64 (cos.f64 (-.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))) 3) M)))) (exp.f64 (neg.f64 l)))
▶	9.6b	(.f64 (expm1.f64 (log1p.f64 (cos.f64 (-.f64 (.f64 (*.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	31.1b	(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 M M)))) (cos.f64 M))
	49.9b	(.f64 (cos.f64 (-.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))) 3) M)) (exp.f64 (neg.f64 l)))
	60.0b	(.f64 (cos.f64 (-.f64 (/.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3)) (.f64 (/.f64 2 K) (fma.f64 m m (*.f64 n (-.f64 n m))))) M)) (exp.f64 (neg.f64 l)))
	49.6b	(*.f64 (cos.f64 (-.f64 (/.f64 K (pow.f64 (pow.f64 (/.f64 2 (+.f64 m n)) 3) 1/3)) M)) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) l) (fabs.f64 (-.f64 m n)))))
	43.7b	(.f64 (cos.f64 (-.f64 (.f64 (pow.f64 (pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 3/2) 1/3) (pow.f64 (pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 3/2) 1/3)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	16.3b	(.f64 (cos.f64 (-.f64 (.f64 (pow.f64 (cbrt.f64 K) 2) (.f64 (cbrt.f64 K) (.f64 (+.f64 m n) 1/2))) M)) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) l) (fabs.f64 (-.f64 m n)))))
	48.2b	(.f64 (cos.f64 (-.f64 (.f64 (*.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M)) (exp.f64 (neg.f64 l)))
	32.3b	(.f64 (cos.f64 (-.f64 (.f64 (neg.f64 n) (.f64 K (cbrt.f64 -1/8))) M)) (exp.f64 (.f64 M (neg.f64 M))))
	49.8b	(.f64 (cos.f64 (-.f64 (.f64 (neg.f64 n) (*.f64 K (cbrt.f64 -1/8))) M)) (exp.f64 (neg.f64 l)))
	28.1b	(.f64 (cos.f64 M) (exp.f64 (.f64 (*.f64 n n) -1/4)))
	26.4b	(.f64 (cos.f64 M) (exp.f64 (.f64 (*.f64 m m) -1/4)))
	27.6b	(.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M))))
	61.1b	(log1p.f64 (expm1.f64 (cos.f64 (-.f64 (.f64 K (.f64 1/2 (+.f64 n m))) M))))
	61.2b	(fabs.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 n m) 1/2) (neg.f64 M))))
	60.9b	(cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
	62.3b	(cos.f64 (-.f64 (.f64 1/2 (pow.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 1/3)) M))
	61.8b	(cos.f64 (-.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 n n) (*.f64 m m)) (/.f64 (-.f64 n m) K))) M))
	62.7b	(cos.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 n 3) (pow.f64 m 3)) (/.f64 (fma.f64 n n (.f64 m (-.f64 m n))) K))) M))
	61.0b	(cos.f64 (-.f64 (*.f64 1/2 (/.f64 K (/.f64 1 (+.f64 n m)))) M))
	61.1b	(cos.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 n K) (*.f64 K m))) M))
	61.6b	(cos.f64 (-.f64 (.f64 1/2 (.f64 (/.f64 (-.f64 (.f64 n n) (.f64 m m)) (-.f64 n m)) K)) M))
▶	61.1b	(cos.f64 (-.f64 (.f64 1/2 (.f64 (/.f64 (.f64 K (+.f64 n m)) K) (/.f64 (.f64 K (-.f64 n m)) (-.f64 n m)))) M))
	61.1b	(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
▶	61.7b	(cos.f64 (-.f64 (.f64 1/2 (expm1.f64 (log1p.f64 (.f64 K (+.f64 n m))))) M))
	61.1b	(cos.f64 (.f64 K (.f64 (+.f64 n m) 1/2)))
▶	60.8b	(cos.f64 M)

Compiler

Compiled 1732 to 1256 computations (27.5% saved)

localize67.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(expm1.f64 (log1p.f64 (cos.f64 (-.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M))))
✓	0.6b	(log1p.f64 (cos.f64 (-.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M)))
	1.0b	(cbrt.f64 -1/8)
	25.3b	(cos.f64 (-.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M))

Compiler

Compiled 169 to 86 computations (49.1% saved)

series139.0ms (0.8%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
36.0ms	K	@	-inf	(log1p.f64 (cos.f64 (-.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M)))
27.0ms	M	@	-inf	(log1p.f64 (cos.f64 (-.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M)))
26.0ms	K	@	inf	(log1p.f64 (cos.f64 (-.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M)))
15.0ms	M	@	inf	(log1p.f64 (cos.f64 (-.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M)))
15.0ms	m	@	inf	(log1p.f64 (cos.f64 (-.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M)))

rewrite82.0ms (0.5%)

Algorithm

2×	egg-rewrite-iter-limit
2×	egg-rewrite
1×	batch-egg-rewrite

Rules

316×	`add-sqr-sqrt`
316×	`add-sqr-sqrt`
314×	`add-sqr-sqrt`
304×	`*-un-lft-identity`
304×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	66
1	318	66
2	3938	66
0	14	35
1	299	35
2	3907	35
0	14	35
0	15	31
1	318	31
2	3938	31
0	15	31

Stop Event

1×	iter limit
1×	unsound
1×	iter limit
1×	unsound
1×	unsound

Counts

2 → 20

Calls

Call 1

Inputs
(log1p.f64 (cos.f64 (-.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M)))
(expm1.f64 (log1p.f64 (cos.f64 (-.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M))))

Outputs

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

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

simplify77.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1540×	`associate-/l*`
1102×	`associate-/r*`
772×	`associate-*r/`
694×	`associate-*l/`
552×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	204	5588
1	585	4880
2	2743	4796

Stop Event

1×	node limit

Counts

92 → 104

Calls

Call 1

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

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

localize4.0ms (0%)

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

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (/.f64 (.f64 K (+.f64 n m)) K) (/.f64 (*.f64 K (-.f64 n m)) (-.f64 n m)))
✓	15.7b	(/.f64 (*.f64 K (+.f64 n m)) K)
✓	15.7b	(/.f64 (*.f64 K (-.f64 n m)) (-.f64 n m))
✓	35.1b	(cos.f64 (-.f64 (.f64 1/2 (.f64 (/.f64 (.f64 K (+.f64 n m)) K) (/.f64 (.f64 K (-.f64 n m)) (-.f64 n m)))) M))

Compiler

Compiled 121 to 22 computations (81.8% saved)

series4.0ms (0%)

Counts

4 → 156

Calls

39 calls:

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

rewrite108.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

450×	`add-sqr-sqrt`
444×	`pow1`
444×	`*-un-lft-identity`
418×	`add-exp-log`
418×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	158
1	420	86
2	6624	86

Stop Event

1×	node limit

Counts

4 → 177

Calls

Call 1

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

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

simplify110.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1580×	`associate-/l*`
922×	`associate-/r*`
696×	`*-commutative`
658×	`associate-+r+`
588×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	506	6409
1	1505	6165
2	6764	6165

Stop Event

1×	node limit

Counts

333 → 255

Calls

Call 1

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

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

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 K (+.f64 n m))
✓	1.3b	(expm1.f64 (log1p.f64 (*.f64 K (+.f64 n m))))
✓	8.2b	(log1p.f64 (*.f64 K (+.f64 n m)))
✓	18.9b	(cos.f64 (-.f64 (.f64 1/2 (expm1.f64 (log1p.f64 (.f64 K (+.f64 n m))))) M))

Compiler

Compiled 63 to 19 computations (69.8% saved)

series6.0ms (0%)

Counts

3 → 120

Calls

30 calls:

Time	Variable		Point	Expression
0.0ms	n	@	inf	(log1p.f64 (*.f64 K (+.f64 n m)))
0.0ms	m	@	inf	(log1p.f64 (*.f64 K (+.f64 n m)))
0.0ms	n	@	0	(log1p.f64 (*.f64 K (+.f64 n m)))
0.0ms	K	@	0	(log1p.f64 (*.f64 K (+.f64 n m)))
0.0ms	n	@	-inf	(log1p.f64 (*.f64 K (+.f64 n m)))

rewrite89.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1356×	`associate-*r/`
1110×	`associate-*l/`
336×	`add-sqr-sqrt`
330×	`*-un-lft-identity`
328×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	59
1	329	59
2	4226	59

Stop Event

1×	node limit

Counts

3 → 150

Calls

Call 1

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

Outputs

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

simplify104.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1138×	`associate-r`
932×	`associate-l`
838×	`fma-def`
748×	`associate-/l*`
644×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	602	12142
1	1846	11718

Stop Event

1×	node limit

Counts

270 → 350

Calls

Call 1

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

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

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(exp.f64 (log1p.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))
✓	0.6b	(-.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))) 1)
✓	0.6b	(log1p.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))
	25.3b	(cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))

Compiler

Compiled 82 to 46 computations (43.9% saved)

series473.0ms (2.7%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
374.0ms	K	@	inf	(log1p.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))
23.0ms	M	@	inf	(log1p.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))
15.0ms	m	@	inf	(log1p.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))
13.0ms	M	@	-inf	(log1p.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))
12.0ms	K	@	-inf	(log1p.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))

rewrite106.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1040×	`associate-*r/`
876×	`distribute-rgt-in`
874×	`associate-*l/`
832×	`distribute-lft-in`
314×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	81
1	321	79
2	3837	79

Stop Event

1×	node limit

Counts

3 → 178

Calls

Call 1

Inputs
(log1p.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))) 1)
(exp.f64 (log1p.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))

Outputs

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

simplify314.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1038×	`associate-r`
1014×	`fma-def`
802×	`associate-l`
708×	`distribute-lft-in`
704×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	653	21582
1	2079	20772

Stop Event

1×	node limit

Counts

286 → 326

Calls

Call 1

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

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

eval854.0ms (4.9%)

Compiler: Compiled 47183 to 25584 computations (45.8% saved)

prune425.0ms (2.4%)

Pruning

53 alts after pruning (52 fresh and 1 done)

	Pruned	Kept	Total
New	1270	31	1301
Fresh	10	21	31
Picked	1	0	1
Done	3	1	4
Total	1284	53	1337

Error

1.1b

Counts

1337 → 53

Alt Table

Click to see full alt table

Status	Error	Program
	48.3b	(/.f64 (/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 1) 2) -1) (sqrt.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 2))) (sqrt.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 2))) (exp.f64 l))
	48.3b	(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 1) 2) -1) (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 2)) (exp.f64 l))
	48.3b	(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))) 6) -1) (.f64 (+.f64 (+.f64 2 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))) (pow.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))) 2)) (+.f64 1 (pow.f64 (+.f64 1 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M))) 3)))) (exp.f64 l))
	48.2b	(/.f64 (-.f64 (+.f64 1 (cos.f64 (.f64 K (.f64 m 1/2)))) 1) (exp.f64 l))
	51.6b	(/.f64 (-.f64 (exp.f64 (+.f64 (fma.f64 -1/2 (/.f64 K (/.f64 (+.f64 (cos.f64 M) 1) (.f64 (neg.f64 (sin.f64 M)) m))) (log1p.f64 (cos.f64 M))) (.f64 (.f64 K K) (.f64 -1/8 (+.f64 (.f64 (/.f64 (.f64 (sin.f64 M) (sin.f64 M)) (pow.f64 (+.f64 (cos.f64 M) 1) 2)) (.f64 m m)) (.f64 (/.f64 (cos.f64 M) (+.f64 (cos.f64 M) 1)) (*.f64 m m))))))) 1) (exp.f64 l))
	48.3b	(/.f64 (cos.f64 (.f64 (.f64 K 1/2) m)) (exp.f64 l))
	46.8b	(/.f64 (cos.f64 M) (exp.f64 l))
	61.4b	(+.f64 (cos.f64 (-.f64 (.f64 (.f64 1/2 n) K) M)) (.f64 -1/2 (.f64 (.f64 K m) (sin.f64 (-.f64 (.f64 (*.f64 1/2 n) K) M)))))
	12.9b	(.f64 (/.f64 (fma.f64 (cos.f64 (.f64 K (.f64 (cbrt.f64 -1/8) n))) (.f64 (cos.f64 M) (.f64 (cos.f64 M) (cos.f64 (.f64 K (.f64 (cbrt.f64 -1/8) n))))) (.f64 (sin.f64 (.f64 K (.f64 (cbrt.f64 -1/8) n))) (.f64 (sin.f64 M) (.f64 (sin.f64 (.f64 K (.f64 (cbrt.f64 -1/8) n))) (sin.f64 M))))) (cos.f64 (fma.f64 n (*.f64 K (cbrt.f64 -1/8)) M))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	9.6b	(.f64 (.f64 (.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M))) (cbrt.f64 (cos.f64 (-.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M)))) (cbrt.f64 (cos.f64 (-.f64 (.f64 (*.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	12.8b	(.f64 (sqrt.f64 (pow.f64 (cos.f64 (neg.f64 (fma.f64 (.f64 n K) (cbrt.f64 -1/8) M))) 2)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	49.9b	(.f64 (log.f64 (exp.f64 (cos.f64 (-.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))) 3) M)))) (exp.f64 (neg.f64 l)))
	9.6b	(.f64 (expm1.f64 (.f64 (.f64 (cbrt.f64 (log1p.f64 (cos.f64 (-.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M)))) (cbrt.f64 (log1p.f64 (cos.f64 (-.f64 (.f64 (.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M))))) (cbrt.f64 (log1p.f64 (cos.f64 (-.f64 (.f64 (*.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M)))))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	9.6b	(.f64 (expm1.f64 (log1p.f64 (cos.f64 (.f64 (cbrt.f64 -1/8) (*.f64 K m))))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	31.1b	(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 M M)))) (cos.f64 M))
	60.0b	(.f64 (cos.f64 (-.f64 (/.f64 (+.f64 (pow.f64 m 3) (pow.f64 n 3)) (.f64 (/.f64 2 K) (fma.f64 m m (*.f64 n (-.f64 n m))))) M)) (exp.f64 (neg.f64 l)))
	49.6b	(*.f64 (cos.f64 (-.f64 (/.f64 K (pow.f64 (pow.f64 (/.f64 2 (+.f64 m n)) 3) 1/3)) M)) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) l) (fabs.f64 (-.f64 m n)))))
	43.7b	(.f64 (cos.f64 (-.f64 (.f64 (pow.f64 (pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 3/2) 1/3) (pow.f64 (pow.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) 3/2) 1/3)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	48.2b	(.f64 (cos.f64 (-.f64 (.f64 (*.f64 K m) (neg.f64 (cbrt.f64 -1/8))) M)) (exp.f64 (neg.f64 l)))
	49.8b	(.f64 (cos.f64 (-.f64 (.f64 (neg.f64 n) (*.f64 K (cbrt.f64 -1/8))) M)) (exp.f64 (neg.f64 l)))
	61.5b	(.f64 (cos.f64 (-.f64 (.f64 K (.f64 1/2 (.f64 K (/.f64 (+.f64 n m) K)))) M)) 1)
	28.1b	(.f64 (cos.f64 M) (exp.f64 (.f64 (*.f64 n n) -1/4)))
	26.4b	(.f64 (cos.f64 M) (exp.f64 (.f64 (*.f64 m m) -1/4)))
	27.6b	(.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M))))
	61.1b	(log1p.f64 (expm1.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 K 1/2)) M))))
	61.1b	(cos.f64 (-.f64 (.f64 (.f64 1/2 n) K) M))
	60.9b	(cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
	62.3b	(cos.f64 (-.f64 (.f64 1/2 (pow.f64 (pow.f64 (.f64 K (+.f64 n m)) 3) 1/3)) M))
	61.8b	(cos.f64 (-.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 n n) (*.f64 m m)) (/.f64 (-.f64 n m) K))) M))
	61.5b	(cos.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 n m) (*.f64 K K)) K)) M))
	62.1b	(cos.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 (.f64 (+.f64 n m) (.f64 K K)) (-.f64 n m)) (*.f64 K (-.f64 n m)))) M))
	61.8b	(cos.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 (.f64 K (-.f64 n m)) K) (.f64 (-.f64 n m) (/.f64 K (+.f64 n m))))) M))
	61.1b	(cos.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 K (-.f64 n m)) (.f64 (/.f64 K (.f64 K (+.f64 n m))) (-.f64 n m)))) M))
	61.1b	(cos.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 K (+.f64 n m)) (*.f64 (/.f64 1 K) K))) M))
	61.8b	(cos.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 K K) (/.f64 K (+.f64 n m)))) M))
	61.0b	(cos.f64 (-.f64 (*.f64 1/2 (/.f64 K (/.f64 1 (+.f64 n m)))) M))
	61.4b	(cos.f64 (-.f64 (.f64 1/2 (/.f64 K (.f64 (/.f64 K (+.f64 n m)) (/.f64 1 K)))) M))
	61.9b	(cos.f64 (-.f64 (.f64 1/2 (/.f64 1 (/.f64 (-.f64 n m) (.f64 (.f64 K (/.f64 (+.f64 n m) K)) (.f64 K (-.f64 n m)))))) M))
	62.1b	(cos.f64 (-.f64 (.f64 1/2 (/.f64 1 (/.f64 (.f64 K (-.f64 n m)) (.f64 (.f64 (+.f64 n m) (*.f64 K K)) (-.f64 n m))))) M))
	61.5b	(cos.f64 (-.f64 (.f64 1/2 (/.f64 1 (/.f64 K (.f64 (+.f64 n m) (*.f64 K K))))) M))
	61.2b	(cos.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (/.f64 K (*.f64 K (+.f64 n m))) (/.f64 1 K)))) M))
	61.1b	(cos.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 n K) (*.f64 K m))) M))
	61.6b	(cos.f64 (-.f64 (.f64 1/2 (.f64 (/.f64 (-.f64 (.f64 n n) (.f64 m m)) (-.f64 n m)) K)) M))
	62.4b	(cos.f64 (-.f64 (.f64 1/2 (.f64 (/.f64 (.f64 K (+.f64 n m)) K) (.f64 (/.f64 (sqrt.f64 (.f64 K (-.f64 n m))) 1) (/.f64 (sqrt.f64 (.f64 K (-.f64 n m))) (-.f64 n m))))) M))
	61.0b	(cos.f64 (-.f64 (.f64 1/2 (.f64 (/.f64 (.f64 K (+.f64 n m)) K) (.f64 (/.f64 1 (-.f64 n m)) (*.f64 K (-.f64 n m))))) M))
	61.4b	(cos.f64 (-.f64 (.f64 1/2 (.f64 (/.f64 (*.f64 K (+.f64 n m)) K) (expm1.f64 (log1p.f64 K)))) M))
	61.8b	(cos.f64 (-.f64 (.f64 1/2 (.f64 (/.f64 K (-.f64 m n)) (-.f64 (.f64 m m) (.f64 n n)))) M))
	61.5b	(cos.f64 (-.f64 (.f64 1/2 (.f64 (.f64 (/.f64 (+.f64 n m) (pow.f64 (cbrt.f64 K) 2)) (/.f64 K (cbrt.f64 K))) (/.f64 (.f64 K (-.f64 n m)) (-.f64 n m)))) M))
	61.1b	(cos.f64 (-.f64 (.f64 1/2 (.f64 (.f64 (/.f64 1 K) (.f64 K (+.f64 n m))) (/.f64 (*.f64 K (-.f64 n m)) (-.f64 n m)))) M))
	61.5b	(cos.f64 (-.f64 (.f64 1/2 (expm1.f64 (.f64 K (+.f64 n m)))) M))
	61.5b	(cos.f64 (-.f64 (.f64 1/2 (expm1.f64 (log1p.f64 (.f64 n K)))) M))
	61.1b	(cos.f64 (.f64 (+.f64 n m) (.f64 K 1/2)))
✓	60.8b	(cos.f64 M)

Compiler

Compiled 1424 to 997 computations (30% saved)

regimes289.0ms (1.7%)

Counts

101 → 1

Calls

Call 1

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

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

Calls

6 calls:

47.0ms	l
46.0ms	M
45.0ms	n
44.0ms	m
42.0ms	K

Results

Error	Segments	Branch
1.6b	1	`K`
1.6b	1	`m`
1.6b	1	`n`
1.6b	1	`M`
1.6b	1	`l`
1.6b	1	`(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))`

Compiler

Compiled 2282 to 1175 computations (48.5% saved)

regimes937.0ms (5.4%)

Counts

66 → 3

Calls

Call 1

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

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

Calls

5 calls:

320.0ms	l
243.0ms	K
123.0ms	n
119.0ms	M
106.0ms	m

Results

Error	Segments	Branch
19.6b	6	`K`
7.1b	3	`m`
7.5b	3	`n`
9.9b	3	`M`
11.6b	9	`l`

Compiler

Compiled 1041 to 499 computations (52.1% saved)

bsearch68.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	6.164691838927545e-261	9.59946616750309e-257
37.0ms	-82702.2004521205	-0.00029131674739823273

Results

50.0ms	257×	body	256	valid
6.0ms	9×	body	1024	valid
2.0ms	7×	body	512	infinite
2.0ms	6×	body	512	valid
2.0ms	3×	body	1024	infinite
1.0ms	8×	body	256	infinite

Compiler

Compiled 637 to 472 computations (25.9% saved)

regimes609.0ms (3.5%)

Counts

52 → 3

Calls

Call 1

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

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

Calls

5 calls:

223.0ms	K
182.0ms	l
63.0ms	m
61.0ms	n
60.0ms	M

Results

Error	Segments	Branch
19.6b	6	`K`
7.5b	3	`m`
8.5b	3	`n`
9.9b	3	`M`
11.6b	9	`l`

Compiler

Compiled 779 to 376 computations (51.7% saved)

bsearch62.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	6.164691838927545e-261	9.59946616750309e-257
34.0ms	-82702.2004521205	-0.00029131674739823273

Results

50.0ms	262×	body	256	valid
3.0ms	6×	body	1024	valid
1.0ms	4×	body	512	valid
1.0ms	6×	body	256	infinite
1.0ms	2×	body	1024	infinite
1.0ms	2×	body	512	infinite

Compiler

Compiled 535 to 421 computations (21.3% saved)

regimes437.0ms (2.5%)

Counts

31 → 3

Calls

Call 1

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

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

Calls

5 calls:

149.0ms	l
92.0ms	K
85.0ms	m
63.0ms	n
37.0ms	M

Results

Error	Segments	Branch
22.3b	5	`K`
9.9b	3	`m`
19.1b	5	`n`
9.9b	3	`M`
14.0b	7	`l`

Compiler

Compiled 487 to 223 computations (54.2% saved)

bsearch61.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	0.1245127272885966	417.25972688450497
33.0ms	-82702.2004521205	-0.00029131674739823273

Results

47.0ms	259×	body	256	valid
5.0ms	7×	body	1024	valid
2.0ms	6×	body	512	valid
2.0ms	5×	body	512	infinite
1.0ms	6×	body	256	infinite
1.0ms	2×	body	1024	infinite

Compiler

Compiled 535 to 421 computations (21.3% saved)

regimes194.0ms (1.1%)

Counts

30 → 2

Calls

Call 1

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

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

Calls

5 calls:

86.0ms	l
40.0ms	M
28.0ms	m
15.0ms	K
14.0ms	n

Results

Error	Segments	Branch
27.6b	1	`K`
27.6b	1	`m`
27.6b	1	`n`
21.2b	3	`M`
21.0b	2	`l`

Compiler

Compiled 478 to 219 computations (54.2% saved)

bsearch30.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
29.0ms	1.2293685995766156e-5	21198.276137966343

Results

27.0ms	142×	body	256	valid
1.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 267 to 210 computations (21.3% saved)

regimes78.0ms (0.5%)

Counts

29 → 1

Calls

Call 1

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

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

Calls

5 calls:

15.0ms	K
14.0ms	l
13.0ms	m
13.0ms	M
13.0ms	n

Results

Error	Segments	Branch
46.8b	1	`K`
46.8b	1	`m`
46.8b	1	`n`
46.8b	1	`M`
46.8b	1	`l`

Compiler

Compiled 470 to 215 computations (54.3% saved)

regimes131.0ms (0.8%)

Accuracy

Total -1.8b remaining (-3%)

Threshold costs -1.8b (-3%)

Counts

27 → 1

Calls

Call 1

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

Outputs
(cos.f64 M)

Calls

5 calls:

70.0ms	l
15.0ms	n
13.0ms	K
12.0ms	m
12.0ms	M

Results

Error	Segments	Branch
60.8b	1	`K`
60.8b	1	`m`
60.8b	1	`n`
60.8b	1	`M`
60.8b	1	`l`

Compiler

Compiled 459 to 210 computations (54.2% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

30×	`+-commutative`
30×	`*-commutative`
24×	`sub-neg`
14×	`neg-mul-1`
14×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	419
1	90	419
2	111	419
3	127	419
4	134	419
5	135	419

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(if (<=.f64 m -53) (.f64 (cos.f64 M) (exp.f64 (.f64 (.f64 m m) -1/4))) (if (<=.f64 m 5680222798770673/135243399970730303066198984938628251268824915465247109664757941510828519054521564025450817507240240101036645118273824941793880975232687497536137978486512531688546991103745301547195268525165168909574203624502064231461895242944399805142629606084361337981321876709820927574016) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 M M)))) (cos.f64 M)) (.f64 (cos.f64 M) (exp.f64 (.f64 (.f64 n n) -1/4)))))
(if (<=.f64 m -53) (.f64 (cos.f64 M) (exp.f64 (.f64 (.f64 m m) -1/4))) (if (<=.f64 m 995391423784575/4327788799063369698118367518036104040602397294887907509272254128346512609744690048814426160231687683233172643784762398137404191207445999921156415311568401014033503715319849649510248592805285405106374515984066055406780647774220793764564147394699562815402300054714269682368512) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))) (.f64 (cos.f64 M) (exp.f64 (.f64 (.f64 n n) -1/4)))))
(if (<=.f64 m -53) (.f64 (cos.f64 M) (exp.f64 (.f64 (.f64 m m) -1/4))) (if (<=.f64 m 55) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))) (.f64 (cos.f64 M) (exp.f64 (.f64 (.f64 m m) -1/4)))))
(if (<=.f64 l 720) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))) (/.f64 (cos.f64 M) (exp.f64 l)))
(/.f64 (cos.f64 M) (exp.f64 l))
(cos.f64 M)

Outputs
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(if (<=.f64 m -53) (.f64 (cos.f64 M) (exp.f64 (.f64 (.f64 m m) -1/4))) (if (<=.f64 m 5680222798770673/135243399970730303066198984938628251268824915465247109664757941510828519054521564025450817507240240101036645118273824941793880975232687497536137978486512531688546991103745301547195268525165168909574203624502064231461895242944399805142629606084361337981321876709820927574016) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 M M)))) (cos.f64 M)) (.f64 (cos.f64 M) (exp.f64 (.f64 (.f64 n n) -1/4)))))
(if (<=.f64 m -53) (.f64 (cos.f64 M) (exp.f64 (.f64 (.f64 m m) -1/4))) (if (<=.f64 m 5680222798770673/135243399970730303066198984938628251268824915465247109664757941510828519054521564025450817507240240101036645118273824941793880975232687497536137978486512531688546991103745301547195268525165168909574203624502064231461895242944399805142629606084361337981321876709820927574016) (.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 M M))))) (.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (.f64 n n))))))
(if (<=.f64 m -53) (.f64 (cos.f64 M) (exp.f64 (.f64 (.f64 m m) -1/4))) (if (<=.f64 m 995391423784575/4327788799063369698118367518036104040602397294887907509272254128346512609744690048814426160231687683233172643784762398137404191207445999921156415311568401014033503715319849649510248592805285405106374515984066055406780647774220793764564147394699562815402300054714269682368512) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))) (.f64 (cos.f64 M) (exp.f64 (.f64 (.f64 n n) -1/4)))))
(if (<=.f64 m -53) (.f64 (cos.f64 M) (exp.f64 (.f64 (.f64 m m) -1/4))) (if (<=.f64 m 995391423784575/4327788799063369698118367518036104040602397294887907509272254128346512609744690048814426160231687683233172643784762398137404191207445999921156415311568401014033503715319849649510248592805285405106374515984066055406780647774220793764564147394699562815402300054714269682368512) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))) (.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (.f64 n n))))))
(if (<=.f64 m -53) (.f64 (cos.f64 M) (exp.f64 (.f64 (.f64 m m) -1/4))) (if (<=.f64 m 55) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))) (.f64 (cos.f64 M) (exp.f64 (.f64 (.f64 m m) -1/4)))))
(if (or (<=.f64 m -53) (not (<=.f64 m 55))) (.f64 (cos.f64 M) (exp.f64 (.f64 (.f64 m m) -1/4))) (.f64 (cos.f64 M) (exp.f64 (*.f64 M (neg.f64 M)))))
(if (<=.f64 l 720) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))) (/.f64 (cos.f64 M) (exp.f64 l)))
(/.f64 (cos.f64 M) (exp.f64 l))
(cos.f64 M)

Compiler

Compiled 179 to 124 computations (30.7% saved)

soundness210.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

1676×	`associate--l+`
964×	`associate-r`
936×	`associate-+l+`
896×	`associate-+r+`
804×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	89
1	60	89
2	145	85
3	443	85
4	1715	85
0	577	15058
1	1719	14682
2	6909	14682

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 339 to 182 computations (46.3% saved)

end67.0ms (0.4%)

Remove: (sort m n)
Compiler: Compiled 199 to 109 computations (45.2% saved)