Details

analyze1.1s (4.8%)

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)

sample2.5s (11.3%)

Results

2.2s	8122×	body	256	valid
89.0ms	351×	body	256	infinite
63.0ms	20×	body	2048	infinite
58.0ms	100×	body	1024	infinite
43.0ms	70×	body	1024	valid
39.0ms	105×	body	512	infinite
39.0ms	63×	body	512	valid
3.0ms	1×	body	2048	valid

Bogosity

preprocess49.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	156	979
1	434	979
2	1096	935
3	3645	935
0	5	5
1	5	5

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1
2
3
4

Outputs
0
1
2
1
3
4

Call 2

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

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

Symmetry

(sort m n)

Compiler

Compiled 39 to 28 computations (28.2% saved)

simplify43.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

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

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

eval2.0ms (0%)

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

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

12.3b

Counts

7 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	12.3b	(.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 33 to 22 computations (33.3% saved)

localize46.0ms (0.2%)

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 (+.f64 m n) (/.f64 K 2)) M)
✓	0.0b	(*.f64 (+.f64 m n) (/.f64 K 2))
✓	32.4b	(cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M))

Compiler

Compiled 138 to 60 computations (56.5% saved)

series13.0ms (0.1%)

Counts

4 → 168

Calls

42 calls:

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

rewrite129.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 284

Calls

Call 1

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

Outputs
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log1p.f64 (expm1.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)))))))

simplify173.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1080×	`associate-r`
1064×	`associate-/l*`
858×	`associate-l`
796×	`*-commutative`
522×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	842	23230
1	2349	23172

Stop Event

1×	node limit

Counts

452 → 538

Calls

Call 1

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

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

eval292.0ms (1.3%)

Compiler: Compiled 24215 to 11454 computations (52.7% saved)

prune134.0ms (0.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	525	13	538
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	526	13	539

Error

1.6b

Counts

539 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	12.4b	(.f64 (sqrt.f64 (pow.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (*.f64 1/2 K)) M)) 2)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	12.3b	(.f64 (log1p.f64 (expm1.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))))
	12.3b	(.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))))
	12.3b	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (+.f64 m n) (.f64 (cbrt.f64 (/.f64 2 K)) (cbrt.f64 (/.f64 2 K)))) (cbrt.f64 (/.f64 2 K))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	31.3b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (/.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))))
	12.3b	(*.f64 (cos.f64 (-.f64 (/.f64 (cbrt.f64 (+.f64 m n)) (/.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 (+.f64 m n)) 2))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	36.0b	(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 (.f64 n n) 1/4))))
	32.7b	(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 (.f64 m m) 1/4))))
▶	31.8b	(.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))))
	8.8b	(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
▶	6.2b	(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
▶	35.4b	(.f64 (cos.f64 (-.f64 (exp.f64 (log.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
▶	2.1b	(*.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 878 to 598 computations (31.9% saved)

localize31.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

New

Error

Program

✓

0.0b

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

0.0b

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

Compiler

Compiled 102 to 42 computations (58.8% saved)

series8.0ms (0%)

Counts

2 → 96

Calls

24 calls:

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

rewrite116.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1370×	`associate-/r*`
614×	`associate-+l+`
444×	`+-commutative`
426×	`add-sqr-sqrt`
416×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	98
1	398	90
2	5802	90

Stop Event

1×	node limit

Counts

2 → 184

Calls

Call 1

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

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

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

simplify141.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1076×	`associate-+r+`
906×	`associate-+l+`
840×	`fma-def`
814×	`+-commutative`
706×	`associate-+l-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	606	20582
1	1872	18472

Stop Event

1×	node limit

Counts

280 → 344

Calls

Call 1

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

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

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M)
	0.0b	(*.f64 (+.f64 m n) (/.f64 K 2))
✓	0.0b	(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (*.f64 M M)))
	32.4b	(cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M))

Compiler

Compiled 102 to 33 computations (67.6% saved)

series3.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite73.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify77.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

83 → 89

Calls

Call 1

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

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

localize42.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 1/2 (.f64 K m))
✓	0.0b	(-.f64 (.f64 1/2 (.f64 K m)) M)
	0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
✓	22.6b	(cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))

Compiler

Compiled 131 to 56 computations (57.3% saved)

series7.0ms (0%)

Counts

3 → 52

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	K	@	0	(cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))
1.0ms	M	@	0	(cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))
0.0ms	m	@	0	(cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))
0.0ms	K	@	inf	(-.f64 (.f64 1/2 (.f64 K m)) M)
0.0ms	m	@	inf	(-.f64 (.f64 1/2 (.f64 K m)) M)

rewrite96.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

938×	`unswap-sqr`
780×	`swap-sqr`
588×	`distribute-rgt-in`
546×	`distribute-lft-in`
524×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	55
1	238	55
2	3071	55

Stop Event

1×	node limit

Counts

3 → 162

Calls

Call 1

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

Outputs

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

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1/4) (*.f64 M M)) (neg.f64 (fma.f64 1/2 (*.f64 K m) M))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.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 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))))))

((#(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))))))))

simplify137.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1442×	`associate-+r+`
1024×	`+-commutative`
730×	`associate-r`
710×	`associate-+l-`
702×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	453	10754
1	1304	10520
2	5732	10480

Stop Event

1×	node limit

Counts

214 → 270

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

localize109.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (+.f64 m n) (.f64 K 1/2))
✓	2.3b	(exp.f64 (log.f64 (.f64 (+.f64 m n) (.f64 K 1/2))))
✓	8.3b	(log.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))
✓	15.7b	(cos.f64 (-.f64 (exp.f64 (log.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))) M))

Compiler

Compiled 162 to 76 computations (53.1% saved)

series52.0ms (0.2%)

Counts

4 → 156

Calls

39 calls:

Time	Variable		Point	Expression
25.0ms	K	@	0	(log.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))
17.0ms	K	@	-inf	(log.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))
5.0ms	K	@	inf	(log.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))
0.0ms	m	@	inf	(log.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))
0.0ms	m	@	0	(log.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))

rewrite123.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	90
1	315	90
2	4070	90

Stop Event

1×	node limit

Counts

4 → 252

Calls

Call 1

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

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

simplify370.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

962×	`associate-r`
838×	`associate-l`
796×	`associate-/l*`
766×	`fma-def`
660×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	629	16702
1	1819	16320
2	7675	16320

Stop Event

1×	node limit

Counts

408 → 349

Calls

Call 1

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

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

localize106.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (+.f64 n m) (.f64 1/2 K))
✓	0.1b	(sqrt.f64 (pow.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) M)) 2))
✓	0.4b	(pow.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) M)) 2)
✓	32.4b	(cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) M))

Compiler

Compiled 170 to 80 computations (52.9% saved)

series31.0ms (0.1%)

Counts

4 → 180

Calls

45 calls:

Time	Variable		Point	Expression
22.0ms	M	@	-inf	(pow.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) M)) 2)
1.0ms	m	@	0	(pow.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) M)) 2)
1.0ms	n	@	0	(pow.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) M)) 2)
1.0ms	K	@	0	(pow.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) M)) 2)
1.0ms	M	@	0	(pow.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) M)) 2)

rewrite106.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1246×	`associate-*r/`
1048×	`distribute-lft-in`
1038×	`associate-*l/`
348×	`add-sqr-sqrt`
338×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	112
1	350	112
2	4287	112

Stop Event

1×	node limit

Counts

4 → 185

Calls

Call 1

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

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

simplify207.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1462×	`associate-r`
1072×	`associate-l`
818×	`associate-+l+`
780×	`+-commutative`
776×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	540	20419
1	1592	20235
2	7098	20235

Stop Event

1×	node limit

Counts

365 → 302

Calls

Call 1

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

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

eval1.0s (4.5%)

Compiler: Compiled 84099 to 39002 computations (53.6% saved)

prune774.0ms (3.4%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	1998	23	2021
Fresh	7	1	8
Picked	1	0	1
Done	4	0	4
Total	2010	24	2034

Error

1.6b

Counts

2034 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	31.9b	(.f64 (sqrt.f64 (pow.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) M)) 2)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
	31.8b	(.f64 (log1p.f64 (expm1.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
	31.8b	(.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) (.f64 M M))))
▶	6.3b	(.f64 (cos.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)) 3)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	49.4b	(.f64 (cos.f64 (-.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (+.f64 m n) (.f64 K 1/2))))) (sqrt.f64 (log.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
▶	31.3b	(.f64 (cos.f64 (-.f64 (/.f64 (-.f64 (.f64 m m) (*.f64 n n)) (/.f64 (/.f64 (-.f64 m n) K) 1/2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	39.4b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (/.f64 (-.f64 m n) (.f64 K 1/2))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
	12.3b	(*.f64 (cos.f64 (-.f64 (/.f64 (cbrt.f64 (+.f64 m n)) (/.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 (+.f64 m n)) 2))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
▶	31.8b	(.f64 (cos.f64 (-.f64 (/.f64 (cbrt.f64 (+.f64 m n)) (/.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 (+.f64 m n)) 2))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
	14.4b	(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (log.f64 (exp.f64 (exp.f64 (-.f64 m (+.f64 n (+.f64 l (*.f64 M M))))))))
	14.7b	(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (expm1.f64 (log1p.f64 (exp.f64 (-.f64 m (+.f64 n (+.f64 l (*.f64 M M))))))))
	51.7b	(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)))
	14.7b	(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (-.f64 m (+.f64 n (+.f64 l (*.f64 M M))))))
	37.4b	(.f64 (cos.f64 (-.f64 (.f64 (cbrt.f64 (.f64 (+.f64 n m) (-.f64 m n))) (/.f64 (cbrt.f64 (.f64 (+.f64 n m) (-.f64 m n))) (.f64 (/.f64 (/.f64 2 K) (cbrt.f64 (.f64 (+.f64 n m) (-.f64 m n)))) (-.f64 m n)))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (*.f64 M M))))
	30.0b	(.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
	49.8b	(.f64 (cos.f64 (-.f64 (exp.f64 (-.f64 (log.f64 (.f64 -1/2 (+.f64 n m))) (log.f64 (/.f64 -1 K)))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	45.2b	(.f64 (cos.f64 (-.f64 (exp.f64 (log.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
	30.8b	(.f64 (cos.f64 (-.f64 (exp.f64 (log.f64 (.f64 1/2 (*.f64 K m)))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
▶	29.2b	(.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 (*.f64 n n) 1/4))))
	29.3b	(.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
	30.4b	(.f64 (cos.f64 M) (exp.f64 (.f64 (*.f64 -1/4 m) m)))
	28.6b	(.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M))))
	30.4b	(.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (*.f64 n n))))
▶	45.2b	(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))

Compiler

Compiled 1392 to 926 computations (33.5% saved)

localize50.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
✓	0.7b	(pow.f64 (cbrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 3)
✓	4.8b	(cbrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))
✓	36.6b	(cos.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 3))

Compiler

Compiled 156 to 73 computations (53.2% saved)

series31.0ms (0.1%)

Counts

3 → 42

Calls

27 calls:

Time	Variable		Point	Expression
6.0ms	K	@	0	(cos.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 3))
6.0ms	M	@	0	(cos.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 3))
5.0ms	m	@	0	(cos.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 3))
3.0ms	K	@	inf	(cos.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 3))
1.0ms	M	@	0	(pow.f64 (cbrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 3)

rewrite98.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1064×	`unswap-sqr`
830×	`swap-sqr`
566×	`distribute-rgt-in`
522×	`distribute-lft-in`
518×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	65
1	297	65
2	3440	65

Stop Event

1×	node limit

Counts

3 → 205

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 1/2 (*.f64 K m))) (cos.f64 (neg.f64 M))) (*.f64 (neg.f64 (sin.f64 (*.f64 1/2 (*.f64 K m)))) (sin.f64 (neg.f64 M))))))) (#(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 (*.f64 1/2 (*.f64 K m))) (cos.f64 M)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (cos.f64 (*.f64 1/2 (*.f64 K m))) (cos.f64 M))) (*.f64 1 (*.f64 (sin.f64 (*.f64 1/2 (*.f64 K m))) (sin.f64 M))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.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))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.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 (neg.f64 M))) (*.f64 (sin.f64 (*.f64 1/2 (*.f64 K m))) (sin.f64 (neg.f64 M))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K m)) M)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K m)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K m)) M))) (sqrt.f64 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K m)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K m)) M))) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K m)) M))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K m)) M))) 2) (cbrt.f64 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K m)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K m)) M)))) (cbrt.f64 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K m)) M)))) (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K m)) M)))) (cbrt.f64 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K m)) M)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K m)) M)))) (cbrt.f64 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K m)) M)))) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K m)) M)))) (cbrt.f64 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K m)) M)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K m)) M)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K m)) M))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K m)) M)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K m)) M))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K m)) M)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K m)) M))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K m)) M)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K m)) M))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K m)) M))) (sqrt.f64 (cbrt.f64 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K m)) M))))) (*.f64 (cbrt.f64 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K m)) M))) (sqrt.f64 (cbrt.f64 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K m)) M))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K m)) M))) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K m)) M))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K m)) M))) 2)) (cbrt.f64 (sqrt.f64 (cos.f64 (-.f64 (*.f64 1/2 (*.f64 K m)) 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 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simplify166.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

698×	`distribute-rgt-in`
698×	`distribute-lft-in`
696×	`+-commutative`
518×	`associate-/l*`
518×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	869	25281
1	2774	22619

Stop Event

1×	node limit

Counts

247 → 388

Calls

Call 1

Inputs
(cos.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) M)))
(+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) M))) (.f64 K (+.f64 (.f64 1/6 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 M 4)) 1/9) (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) m))) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 M 4)) 1/9) (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) m))))))) (cos.f64 (.f64 -1 (*.f64 (pow.f64 1 1/3) M))))
(+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) M))) (.f64 K (+.f64 (.f64 1/6 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 M 4)) 1/9) (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) m))) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 M 4)) 1/9) (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) m))))))) (+.f64 (cos.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) M))) (.f64 (-.f64 (.f64 -1/2 (.f64 (pow.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 M 4)) 1/9) (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) m))) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 M 4)) 1/9) (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) m)))) 2) (cos.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) M))))) (.f64 (sin.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) M))) (+.f64 (.f64 -1/36 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) M) 1/9) (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 m 2)))) (+.f64 (.f64 1/18 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) M) 1/9) (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 m 2)))) (.f64 (pow.f64 (.f64 1 M) 1/3) (.f64 (+.f64 (.f64 1/36 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 M 4)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 m 2)))) (.f64 -1/18 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 M 4)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 m 2))))) (cbrt.f64 -1))))))) (pow.f64 K 2))))
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1
1
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1
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(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 1/2 (.f64 K m)) 3) (pow.f64 M 3))) (cbrt.f64 (-.f64 (pow.f64 (.f64 1/2 (.f64 K 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))) (cbrt.f64 (-.f64 (pow.f64 (.f64 1/2 (*.f64 K m)) 3) (pow.f64 M 3)))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (.f64 K m) 3) (pow.f64 (.f64 K m) 3)) 1/64) (.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 (pow.f64 (.f64 1/2 (.f64 K m)) 3) (pow.f64 M 3))))
(/.f64 (-.f64 (.f64 1/16 (.f64 (.f64 K m) (pow.f64 (.f64 K m) 3))) (.f64 M (pow.f64 M 3))) (.f64 (fma.f64 1/2 (.f64 K m) M) (+.f64 (.f64 (pow.f64 (.f64 K m) 2) 1/4) (.f64 M M))))
(/.f64 (+.f64 (pow.f64 (.f64 1/2 (.f64 K m)) 3) (pow.f64 (neg.f64 M) 3)) (+.f64 (.f64 (pow.f64 (.f64 K m) 2) 1/4) (.f64 (neg.f64 M) (-.f64 (neg.f64 M) (.f64 1/2 (*.f64 K m))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (.f64 1/2 (.f64 K m)) 3) 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) (pow.f64 (.f64 K m) 3)) 1/64) (.f64 (pow.f64 M 3) (+.f64 (pow.f64 (.f64 1/2 (.f64 K m)) 3) (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 1/16 (.f64 (.f64 K m) (pow.f64 (.f64 K m) 3))) (.f64 (.f64 M M) (+.f64 (.f64 (pow.f64 (.f64 K m) 2) 1/4) (.f64 M M))))))
(/.f64 (+.f64 (neg.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 (pow.f64 (.f64 1/2 (.f64 K m)) 3) (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 1 (+.f64 (pow.f64 (.f64 1/2 (.f64 K m)) 3) (pow.f64 (neg.f64 M) 3))) (+.f64 (.f64 (pow.f64 (.f64 K m) 2) 1/4) (.f64 (neg.f64 M) (-.f64 (neg.f64 M) (.f64 1/2 (.f64 K 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 (sqrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (sqrt.f64 (-.f64 (pow.f64 (.f64 1/2 (.f64 K m)) 3) (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 (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 (pow.f64 (cbrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 2) (cbrt.f64 (-.f64 (pow.f64 (.f64 1/2 (.f64 K m)) 3) (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 (-.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 1/2 (.f64 K m)) 3) (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 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))) 2) 3) (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 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))) 2) 3) (cbrt.f64 (-.f64 (pow.f64 (.f64 1/2 (.f64 K m)) 3) (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 (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 (cbrt.f64 (-.f64 (pow.f64 (.f64 1/2 (.f64 K m)) 3) (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 (+.f64 (pow.f64 (.f64 1/2 (.f64 K m)) 3) (pow.f64 (neg.f64 M) 3)) 1) (+.f64 (.f64 (pow.f64 (.f64 K m) 2) 1/4) (.f64 (neg.f64 M) (-.f64 (neg.f64 M) (.f64 1/2 (.f64 K m))))))
(/.f64 (.f64 (+.f64 (neg.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 (pow.f64 (.f64 1/2 (.f64 K m)) 3) (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) 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 (sqrt.f64 (-.f64 (pow.f64 (.f64 1/2 (.f64 K m)) 3) (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 (-.f64 (.f64 1/16 (.f64 (.f64 K m) (pow.f64 (.f64 K m) 3))) (.f64 M (pow.f64 M 3))) (/.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 1/16 (.f64 (.f64 K m) (pow.f64 (.f64 K m) 3))) (.f64 (.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) (pow.f64 (.f64 K m) 3)) 1/64) (.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 (pow.f64 (.f64 1/2 (.f64 K m)) 3) (pow.f64 M 3)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 1/2 (.f64 K m)) 3) 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) (pow.f64 (.f64 K m) 3)) 1/64) (.f64 (pow.f64 M 3) (+.f64 (pow.f64 (.f64 1/2 (.f64 K m)) 3) (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 (pow.f64 (.f64 1/2 (.f64 K m)) 3) (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 (pow.f64 (.f64 1/2 (.f64 K m)) 3) (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 (pow.f64 (.f64 1/2 (.f64 K m)) 3) (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)))))
(neg.f64 (/.f64 (-.f64 (.f64 (pow.f64 (.f64 K m) 2) 1/4) (.f64 M M)) (neg.f64 (fma.f64 1/2 (.f64 K m) M))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 1/2 (.f64 K m)) 3) (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))))))
(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 (.f64 -1 (.f64 (pow.f64 1 1/3) M)))
(cos.f64 M)
(+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) M))) (.f64 K (+.f64 (.f64 1/6 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 M 4)) 1/9) (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) m))) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 M 4)) 1/9) (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) m))))))) (cos.f64 (.f64 -1 (*.f64 (pow.f64 1 1/3) M))))
(fma.f64 -1 (.f64 (neg.f64 (sin.f64 M)) (.f64 K (.f64 (.f64 (.f64 (pow.f64 (pow.f64 M 4) 1/18) (pow.f64 (pow.f64 M 4) 1/18)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) m)) 1/2))) (cos.f64 M))
(+.f64 (cos.f64 M) (.f64 (.f64 K (.f64 (.f64 (.f64 (pow.f64 (pow.f64 M 4) 1/18) (pow.f64 (pow.f64 M 4) 1/18)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)) m)) 1/2)) (sin.f64 M)))
(+.f64 (.f64 -1 (.f64 (sin.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) M))) (.f64 K (+.f64 (.f64 1/6 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 M 4)) 1/9) (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) m))) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 M 4)) 1/9) (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) m))))))) (+.f64 (cos.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) M))) (.f64 (-.f64 (.f64 -1/2 (.f64 (pow.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 M 4)) 1/9) (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) m))) (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 M 4)) 1/9) (.f64 (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3) m)))) 2) (cos.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) M))))) (.f64 (sin.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) M))) (+.f64 (.f64 -1/36 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) M) 1/9) (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 m 2)))) (+.f64 (.f64 1/18 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) M) 1/9) (.f64 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3) (pow.f64 m 2)))) (.f64 (pow.f64 (.f64 1 M) 1/3) (.f64 (+.f64 (.f64 1/36 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 M 4)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 m 2)))) (.f64 -1/18 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 M 4)) 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3) (pow.f64 m 2))))) (cbrt.f64 -1))))))) (pow.f64 K 2))))
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1
1
(cos.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) M)))
(cos.f64 M)
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1
1
(cos.f64 (.f64 1/2 (.f64 (pow.f64 1 1/3) (*.f64 K m))))
(cos.f64 (.f64 1/2 (.f64 K m)))
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1
1
(.f64 (pow.f64 (.f64 1 M) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (cbrt.f64 M))
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(.f64 1 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (.f64 K m) 3)) (pow.f64 M 3)) (fma.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 (sqrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (/.f64 (sqrt.f64 (fma.f64 1/2 (.f64 K m) M)) (sqrt.f64 (fma.f64 (pow.f64 (.f64 K m) 2) 1/4 (neg.f64 (*.f64 M M))))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (sqrt.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 (sqrt.f64 (-.f64 (pow.f64 (.f64 1/2 (.f64 K m)) 3) (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 (sqrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (.f64 K m) 2) 1/4 (.f64 M (fma.f64 1/2 (.f64 K m) M)))) (sqrt.f64 (-.f64 (.f64 1/8 (pow.f64 (*.f64 K m) 3)) (pow.f64 M 3)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (sqrt.f64 (fma.f64 (pow.f64 (.f64 K m) 2) 1/4 (.f64 M (fma.f64 1/2 (.f64 K m) M))))) (sqrt.f64 (-.f64 (.f64 1/8 (pow.f64 (.f64 K m) 3)) (pow.f64 M 3))))
(/.f64 (.f64 (-.f64 (.f64 1/16 (.f64 (.f64 K m) (pow.f64 (.f64 K m) 3))) (.f64 M (pow.f64 M 3))) (/.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 1/16 (.f64 (.f64 K m) (pow.f64 (.f64 K m) 3))) (.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 (.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 1/16 (.f64 (.f64 K m) (pow.f64 (.f64 K m) 3))) (.f64 (.f64 M M) (+.f64 (.f64 (pow.f64 (.f64 K m) 2) 1/4) (.f64 M M)))))
(/.f64 (-.f64 (.f64 (pow.f64 (pow.f64 (.f64 K m) 2) 3) 1/64) (pow.f64 M 6)) (.f64 (fma.f64 1/2 (.f64 K m) M) (fma.f64 1/16 (.f64 (.f64 K m) (pow.f64 (.f64 K m) 3)) (.f64 M (.f64 M (fma.f64 (pow.f64 (.f64 K m) 2) 1/4 (*.f64 M M)))))))
(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 (.f64 K m) 6) 1/64) (pow.f64 M 6)) (fma.f64 1/2 (.f64 K m) M)) (fma.f64 1/16 (.f64 (.f64 K m) (pow.f64 (.f64 K m) 3)) (.f64 M (.f64 M (fma.f64 (pow.f64 (.f64 K m) 2) 1/4 (.f64 M M))))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (pow.f64 (.f64 K m) 3) (pow.f64 (.f64 K m) 3)) 1/64) (.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 (pow.f64 (.f64 1/2 (.f64 K m)) 3) (pow.f64 M 3)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 K m) 6) 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))) (+.f64 (pow.f64 M 3) (.f64 1/8 (pow.f64 (.f64 K m) 3)))))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (.f64 1/2 (.f64 K m)) 3) 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) (pow.f64 (.f64 K m) 3)) 1/64) (.f64 (pow.f64 M 3) (+.f64 (pow.f64 (.f64 1/2 (.f64 K m)) 3) (pow.f64 M 3)))))
(/.f64 (-.f64 (pow.f64 (.f64 1/8 (pow.f64 (.f64 K m) 3)) 3) (pow.f64 (pow.f64 M 3) 3)) (.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) 6) 1/64 (+.f64 (.f64 (pow.f64 M 3) (.f64 1/8 (pow.f64 (.f64 K m) 3))) (pow.f64 M 6)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 1/8 (pow.f64 (.f64 K m) 3)) 3) (pow.f64 (pow.f64 M 3) 3)) (fma.f64 (pow.f64 (.f64 K m) 6) 1/64 (+.f64 (pow.f64 M 6) (.f64 (pow.f64 M 3) (.f64 1/8 (pow.f64 (.f64 K m) 3)))))) (fma.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 (pow.f64 (.f64 K m) 2) (/.f64 (fma.f64 1/2 (.f64 K m) M) 1/4)) (.f64 (/.f64 M (fma.f64 1/2 (.f64 K m) 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 (.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 (fma.f64 (pow.f64 (.f64 K m) 2) 1/4 (neg.f64 (.f64 M M))) (.f64 (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)) (.f64 (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 (fma.f64 (pow.f64 (.f64 K m) 2) 1/4 (neg.f64 (.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)) (.f64 (cbrt.f64 (fma.f64 1/2 (.f64 K m) M)) (.f64 (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 1/2 (.f64 K m)) 3) (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 1/8 (fma.f64 (pow.f64 (.f64 K m) 2) 1/4 (.f64 M (fma.f64 1/2 (.f64 K m) M)))) (pow.f64 (.f64 K m) 3)) (/.f64 (pow.f64 M 3) (fma.f64 (pow.f64 (.f64 K m) 2) 1/4 (.f64 M (fma.f64 1/2 (.f64 K m) M)))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (.f64 K m) 3)) (pow.f64 M 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 1/2 (.f64 K m)) 3) (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 1/8 (pow.f64 (.f64 K m) 3)) (pow.f64 M 3)) (sqrt.f64 (fma.f64 (pow.f64 (.f64 K m) 2) 1/4 (.f64 M (fma.f64 1/2 (.f64 K m) M))))) (sqrt.f64 (fma.f64 (pow.f64 (.f64 K m) 2) 1/4 (.f64 M (fma.f64 1/2 (.f64 K m) M)))))
(/.f64 (-.f64 (.f64 1/8 (pow.f64 (.f64 K m) 3)) (pow.f64 M 3)) (.f64 (sqrt.f64 (fma.f64 (pow.f64 (.f64 K m) 2) 1/4 (.f64 M (fma.f64 1/2 (.f64 K m) M)))) (sqrt.f64 (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 1/2 (.f64 K m)) 3) (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 (-.f64 (.f64 1/8 (pow.f64 (.f64 K m) 3)) (pow.f64 M 3)) (.f64 (cbrt.f64 (fma.f64 (pow.f64 (.f64 K m) 2) 1/4 (.f64 M (fma.f64 1/2 (.f64 K m) M)))) (.f64 (cbrt.f64 (fma.f64 (pow.f64 (.f64 K m) 2) 1/4 (.f64 M (fma.f64 1/2 (.f64 K m) M)))) (cbrt.f64 (fma.f64 (pow.f64 (.f64 K m) 2) 1/4 (.f64 M (fma.f64 1/2 (*.f64 K m) M)))))))
(neg.f64 (/.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 (.f64 M M) (.f64 (pow.f64 (.f64 K m) 2) -1/4)) (neg.f64 (fma.f64 1/2 (.f64 K m) M)))
(/.f64 (+.f64 (.f64 M M) (.f64 (pow.f64 (.f64 K m) 2) -1/4)) (-.f64 (.f64 -1/2 (*.f64 K m)) M))
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 1/2 (.f64 K m)) 3) (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 (neg.f64 (-.f64 (.f64 1/8 (pow.f64 (.f64 K m) 3)) (pow.f64 M 3))) (neg.f64 (fma.f64 (pow.f64 (.f64 K m) 2) 1/4 (.f64 M (fma.f64 1/2 (*.f64 K m) M)))))
(.f64 1 (/.f64 (-.f64 (.f64 1/8 (pow.f64 (.f64 K m) 3)) (pow.f64 M 3)) (fma.f64 (pow.f64 (.f64 K m) 2) 1/4 (.f64 M (fma.f64 1/2 (.f64 K m) M)))))
(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)))
(-.f64 (.f64 1/2 (.f64 K m)) M)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))
(-.f64 (.f64 1/2 (.f64 K m)) M)
(cbrt.f64 (pow.f64 (-.f64 (.f64 1/2 (.f64 K m)) M) 3))
(-.f64 (.f64 1/2 (.f64 K m)) M)
(expm1.f64 (log1p.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))
(-.f64 (.f64 1/2 (.f64 K m)) M)
(exp.f64 (log.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))
(-.f64 (.f64 1/2 (.f64 K m)) M)
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)) 1))
(-.f64 (.f64 1/2 (.f64 K m)) M)
(log1p.f64 (expm1.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))
(-.f64 (.f64 1/2 (.f64 K m)) M)
(fma.f64 1/2 (*.f64 K m) (neg.f64 M))
(-.f64 (.f64 1/2 (.f64 K m)) M)
(fma.f64 (*.f64 K m) 1/2 (neg.f64 M))
(-.f64 (.f64 1/2 (.f64 K m)) M)
(fma.f64 1 (.f64 1/2 (.f64 K m)) (neg.f64 M))
(-.f64 (.f64 1/2 (.f64 K m)) M)
(fma.f64 (sqrt.f64 (.f64 1/2 (.f64 K m))) (sqrt.f64 (.f64 1/2 (.f64 K m))) (neg.f64 M))
(-.f64 (.f64 (sqrt.f64 (.f64 1/2 (.f64 K m))) (sqrt.f64 (.f64 1/2 (*.f64 K m)))) 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))
(-.f64 (.f64 1/2 (.f64 K m)) M)

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 9 computations (55% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite49.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

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

Outputs

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

simplify67.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

37 → 55

Calls

Call 1

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

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

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 n n) 1/4)
✓	0.0b	(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 (.f64 n n) 1/4))
✓	0.0b	(.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 (*.f64 n n) 1/4))))
✓	0.1b	(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 (.f64 n n) 1/4)))

Compiler

Compiled 74 to 25 computations (66.2% saved)

series10.0ms (0%)

Counts

4 → 132

Calls

33 calls:

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

rewrite293.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1940×	`associate-*r/`
704×	`associate-+l+`
398×	`add-sqr-sqrt`
392×	`pow1`
392×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	136
1	377	124
2	5282	124

Stop Event

1×	node limit

Counts

4 → 285

Calls

Call 1

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

Outputs
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(-.f64 m (+.f64 n l)) (.f64 (.f64 n n) -1/4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (-.f64 m (+.f64 n l)) (.f64 (.f64 n n) -1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (-.f64 m (+.f64 n l)) (.f64 (.f64 n n) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (-.f64 m (+.f64 n l)) (.f64 (.f64 n n) -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (-.f64 m (+.f64 n l)) (.f64 (.f64 n n) -1/4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (-.f64 m (+.f64 n l)) (.f64 (.f64 n n) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (-.f64 m (+.f64 n l)) (.f64 (.f64 n n) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (+.f64 (-.f64 m (+.f64 n l)) (.f64 (.f64 n n) -1/4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (-.f64 m (+.f64 n l)) (.f64 (.f64 n n) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 m n) (neg.f64 (+.f64 l (.f64 n (.f64 n 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 m (+.f64 n l)) (.f64 (.f64 n n) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 m (+.f64 n l))) (sqrt.f64 (-.f64 m (+.f64 n l))) (.f64 (.f64 n n) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 m n)) (sqrt.f64 (-.f64 m n)) (neg.f64 (+.f64 l (.f64 n (.f64 n 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 m (+.f64 n l))) 2) (cbrt.f64 (-.f64 m (+.f64 n l))) (.f64 (.f64 n n) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 m n)) 2) (cbrt.f64 (-.f64 m n)) (neg.f64 (+.f64 l (.f64 n (*.f64 n 1/4)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 n (.f64 n 1/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 n (.f64 n 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 n 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 n (.f64 n 1/4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/64 (pow.f64 (.f64 n n) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 1/16 (pow.f64 n 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/4) (.f64 n n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 n (.f64 n 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 1/64 (pow.f64 (.f64 n n) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 n (.f64 n 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 n (.f64 n 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 n (.f64 n 1/4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 n (.f64 n 1/4))))))))

simplify200.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1476×	`associate-+r+`
1286×	`fma-def`
1024×	`+-commutative`
830×	`associate-+l-`
634×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	741	21365
1	2159	18895

Stop Event

1×	node limit

Counts

417 → 435

Calls

Call 1

Inputs
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m)))) (+.f64 l (.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m)))) (+.f64 l (.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m)))) (+.f64 l (.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m)))) (+.f64 l (.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l))
(+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (.f64 -1/4 (.f64 (pow.f64 n 2) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)))))
(+.f64 (.f64 1/32 (.f64 (pow.f64 n 4) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)))) (+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (.f64 -1/4 (.f64 (pow.f64 n 2) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l))))))
(+.f64 (.f64 1/32 (.f64 (pow.f64 n 4) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)))) (+.f64 (.f64 -1/384 (.f64 (pow.f64 n 6) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)))) (+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (.f64 -1/4 (.f64 (pow.f64 n 2) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)))))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (+.f64 (.f64 -1 n) m)) (+.f64 l (.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (+.f64 (.f64 -1 n) m)) (+.f64 l (.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (+.f64 (.f64 -1 n) m)) (+.f64 l (.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (+.f64 (.f64 -1 n) m)) (+.f64 l (.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (*.f64 1/4 (pow.f64 n 2))))
(+.f64 (.f64 -1 (.f64 l (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 1/4 (pow.f64 n 2)))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 1/4 (pow.f64 n 2)))))
(+.f64 (.f64 -1 (.f64 l (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 1/4 (pow.f64 n 2)))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 l 2) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 1/4 (pow.f64 n 2)))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (*.f64 1/4 (pow.f64 n 2))))))
(+.f64 (.f64 -1 (.f64 l (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 1/4 (pow.f64 n 2)))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 l 2) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 1/4 (pow.f64 n 2)))))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 l 3) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 1/4 (pow.f64 n 2)))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 1/4 (pow.f64 n 2)))))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (.f64 1/4 (pow.f64 n 2))))
(exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (.f64 1/4 (pow.f64 n 2))))
(exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (.f64 1/4 (pow.f64 n 2))))
(exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (.f64 1/4 (pow.f64 n 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 n 2))))) (.f64 -1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 n 2))))) (pow.f64 M 2))))
(+.f64 (.f64 1/24 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 n 2))))) (pow.f64 M 4))) (+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 n 2))))) (.f64 -1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 n 2))))) (pow.f64 M 2)))))
(+.f64 (.f64 1/24 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 n 2))))) (pow.f64 M 4))) (+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 n 2))))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 n 2))))) (pow.f64 M 2))) (.f64 -1/720 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 n 2))))) (pow.f64 M 6))))))
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(/.f64 (.f64 (sqrt.f64 (+.f64 (-.f64 m (+.f64 n l)) (.f64 (.f64 n n) -1/4))) (sqrt.f64 (-.f64 (pow.f64 (-.f64 m (+.f64 n l)) 2) (.f64 1/16 (pow.f64 n 4))))) (sqrt.f64 (+.f64 (-.f64 m (+.f64 n l)) (.f64 n (.f64 n 1/4)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (-.f64 m (+.f64 n l)) (.f64 (.f64 n n) -1/4))) (sqrt.f64 (-.f64 (pow.f64 (-.f64 m (+.f64 n l)) 3) (.f64 1/64 (pow.f64 (.f64 n n) 3))))) (sqrt.f64 (+.f64 (pow.f64 (-.f64 m (+.f64 n l)) 2) (+.f64 (.f64 1/16 (pow.f64 n 4)) (.f64 (-.f64 m (+.f64 n l)) (.f64 n (*.f64 n 1/4)))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 m (+.f64 n l)) (.f64 (.f64 n n) -1/4))) 2) (cbrt.f64 (-.f64 (pow.f64 (-.f64 m (+.f64 n l)) 2) (.f64 1/16 (pow.f64 n 4))))) (cbrt.f64 (+.f64 (-.f64 m (+.f64 n l)) (.f64 n (.f64 n 1/4)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 m (+.f64 n l)) (.f64 (.f64 n n) -1/4))) 2) (cbrt.f64 (-.f64 (pow.f64 (-.f64 m (+.f64 n l)) 3) (.f64 1/64 (pow.f64 (.f64 n n) 3))))) (cbrt.f64 (+.f64 (pow.f64 (-.f64 m (+.f64 n l)) 2) (+.f64 (.f64 1/16 (pow.f64 n 4)) (.f64 (-.f64 m (+.f64 n l)) (.f64 n (*.f64 n 1/4)))))))
(pow.f64 (+.f64 (-.f64 m (+.f64 n l)) (.f64 (.f64 n n) -1/4)) 1)
(pow.f64 (sqrt.f64 (+.f64 (-.f64 m (+.f64 n l)) (.f64 (.f64 n n) -1/4))) 2)
(pow.f64 (cbrt.f64 (+.f64 (-.f64 m (+.f64 n l)) (.f64 (.f64 n n) -1/4))) 3)
(pow.f64 (pow.f64 (+.f64 (-.f64 m (+.f64 n l)) (.f64 (.f64 n n) -1/4)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (-.f64 m (+.f64 n l)) (.f64 (.f64 n n) -1/4)) 2))
(log.f64 (exp.f64 (+.f64 (-.f64 m (+.f64 n l)) (.f64 (.f64 n n) -1/4))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (-.f64 m (+.f64 n l)) (.f64 (.f64 n n) -1/4)))))
(cbrt.f64 (pow.f64 (+.f64 (-.f64 m (+.f64 n l)) (.f64 (.f64 n n) -1/4)) 3))
(expm1.f64 (log1p.f64 (+.f64 (-.f64 m (+.f64 n l)) (.f64 (.f64 n n) -1/4))))
(exp.f64 (log.f64 (+.f64 (-.f64 m (+.f64 n l)) (.f64 (.f64 n n) -1/4))))
(exp.f64 (.f64 (log.f64 (+.f64 (-.f64 m (+.f64 n l)) (.f64 (*.f64 n n) -1/4))) 1))
(log1p.f64 (expm1.f64 (+.f64 (-.f64 m (+.f64 n l)) (.f64 (.f64 n n) -1/4))))
(fma.f64 1 (-.f64 m n) (neg.f64 (+.f64 l (.f64 n (.f64 n 1/4)))))
(fma.f64 1 (-.f64 m (+.f64 n l)) (.f64 (.f64 n n) -1/4))
(fma.f64 (sqrt.f64 (-.f64 m (+.f64 n l))) (sqrt.f64 (-.f64 m (+.f64 n l))) (.f64 (.f64 n n) -1/4))
(fma.f64 (sqrt.f64 (-.f64 m n)) (sqrt.f64 (-.f64 m n)) (neg.f64 (+.f64 l (.f64 n (.f64 n 1/4)))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 m (+.f64 n l))) 2) (cbrt.f64 (-.f64 m (+.f64 n l))) (.f64 (.f64 n n) -1/4))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 m n)) 2) (cbrt.f64 (-.f64 m n)) (neg.f64 (+.f64 l (.f64 n (.f64 n 1/4)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 n (.f64 n 1/4)))) 1)
(pow.f64 (.f64 n (.f64 n 1/4)) 1)
(pow.f64 (*.f64 n 1/2) 2)
(pow.f64 (cbrt.f64 (.f64 n (.f64 n 1/4))) 3)
(pow.f64 (.f64 1/64 (pow.f64 (.f64 n n) 3)) 1/3)
(sqrt.f64 (*.f64 1/16 (pow.f64 n 4)))
(log.f64 (pow.f64 (exp.f64 1/4) (*.f64 n n)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 n (.f64 n 1/4)))))
(cbrt.f64 (.f64 1/64 (pow.f64 (.f64 n n) 3)))
(expm1.f64 (log1p.f64 (.f64 n (.f64 n 1/4))))
(exp.f64 (log.f64 (.f64 n (.f64 n 1/4))))
(exp.f64 (.f64 (log.f64 (.f64 n (*.f64 n 1/4))) 1))
(log1p.f64 (expm1.f64 (.f64 n (.f64 n 1/4))))

Outputs
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 n (.f64 n -1/4))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 n (*.f64 n 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 n (.f64 n -1/4))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 n (*.f64 n 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 n (.f64 n -1/4))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 n (*.f64 n 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 n (.f64 n -1/4))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 n (*.f64 n 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 n (.f64 n -1/4))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 n (*.f64 n 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 n (.f64 n -1/4))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 n (*.f64 n 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 n (.f64 n -1/4))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 n (*.f64 n 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 n (.f64 n -1/4))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 n (*.f64 n 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m)))) (+.f64 l (.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 n (.f64 n -1/4))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 n (*.f64 n 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m)))) (+.f64 l (.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 n (.f64 n -1/4))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 n (*.f64 n 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m)))) (+.f64 l (.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 n (.f64 n -1/4))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 n (*.f64 n 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m)))) (+.f64 l (.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 n (.f64 n -1/4))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 n (*.f64 n 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l))
(+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (.f64 -1/4 (.f64 (pow.f64 n 2) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)))))
(+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (.f64 -1/4 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (*.f64 n n))))
(.f64 (+.f64 (.f64 n (*.f64 n -1/4)) 1) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)))
(+.f64 (.f64 1/32 (.f64 (pow.f64 n 4) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)))) (+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (.f64 -1/4 (.f64 (pow.f64 n 2) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l))))))
(fma.f64 1/32 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (pow.f64 n 4)) (+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (.f64 -1/4 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (.f64 n n)))))
(fma.f64 1/32 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (pow.f64 n 4)) (.f64 (+.f64 (.f64 n (.f64 n -1/4)) 1) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l))))
(+.f64 (.f64 1/32 (.f64 (pow.f64 n 4) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)))) (+.f64 (.f64 -1/384 (.f64 (pow.f64 n 6) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)))) (+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (.f64 -1/4 (.f64 (pow.f64 n 2) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)))))))
(fma.f64 1/32 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (pow.f64 n 4)) (fma.f64 -1/384 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (pow.f64 n 6)) (+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (.f64 -1/4 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (*.f64 n n))))))
(+.f64 (.f64 (+.f64 (.f64 n (.f64 n -1/4)) 1) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (+.f64 (.f64 1/32 (pow.f64 n 4)) (.f64 -1/384 (pow.f64 n 6)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 n (.f64 n -1/4))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 n (*.f64 n 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 n (.f64 n -1/4))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 n (*.f64 n 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 n (.f64 n -1/4))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 n (*.f64 n 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 n (.f64 n -1/4))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 n (*.f64 n 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (+.f64 (.f64 -1 n) m)) (+.f64 l (.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 n (.f64 n -1/4))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 n (*.f64 n 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (+.f64 (.f64 -1 n) m)) (+.f64 l (.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 n (.f64 n -1/4))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 n (*.f64 n 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (+.f64 (.f64 -1 n) m)) (+.f64 l (.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 n (.f64 n -1/4))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 n (*.f64 n 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (+.f64 (.f64 -1 n) m)) (+.f64 l (.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 n (.f64 n -1/4))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 n (*.f64 n 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (*.f64 1/4 (pow.f64 n 2))))
(exp.f64 (fma.f64 -1/4 (*.f64 n n) (fabs.f64 (-.f64 m n))))
(exp.f64 (fma.f64 n (*.f64 n -1/4) (fabs.f64 (-.f64 m n))))
(+.f64 (.f64 -1 (.f64 l (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 1/4 (pow.f64 n 2)))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 1/4 (pow.f64 n 2)))))
(fma.f64 -1 (.f64 l (exp.f64 (fma.f64 -1/4 (.f64 n n) (fabs.f64 (-.f64 m n))))) (exp.f64 (fma.f64 -1/4 (*.f64 n n) (fabs.f64 (-.f64 m n)))))
(.f64 (+.f64 (neg.f64 l) 1) (exp.f64 (fma.f64 n (.f64 n -1/4) (fabs.f64 (-.f64 m n)))))
(+.f64 (.f64 -1 (.f64 l (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 1/4 (pow.f64 n 2)))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 l 2) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 1/4 (pow.f64 n 2)))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (*.f64 1/4 (pow.f64 n 2))))))
(fma.f64 -1 (.f64 l (exp.f64 (fma.f64 -1/4 (.f64 n n) (fabs.f64 (-.f64 m n))))) (fma.f64 1/2 (.f64 (exp.f64 (fma.f64 -1/4 (.f64 n n) (fabs.f64 (-.f64 m n)))) (.f64 l l)) (exp.f64 (fma.f64 -1/4 (.f64 n n) (fabs.f64 (-.f64 m n))))))
(+.f64 (exp.f64 (fma.f64 n (.f64 n -1/4) (fabs.f64 (-.f64 m n)))) (.f64 (exp.f64 (fma.f64 n (.f64 n -1/4) (fabs.f64 (-.f64 m n)))) (+.f64 (neg.f64 l) (.f64 1/2 (*.f64 l l)))))
(+.f64 (.f64 -1 (.f64 l (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 1/4 (pow.f64 n 2)))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 l 2) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 1/4 (pow.f64 n 2)))))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 l 3) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 1/4 (pow.f64 n 2)))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 1/4 (pow.f64 n 2)))))))
(fma.f64 -1 (.f64 l (exp.f64 (fma.f64 -1/4 (.f64 n n) (fabs.f64 (-.f64 m n))))) (fma.f64 1/2 (.f64 (exp.f64 (fma.f64 -1/4 (.f64 n n) (fabs.f64 (-.f64 m n)))) (.f64 l l)) (fma.f64 -1/6 (.f64 (exp.f64 (fma.f64 -1/4 (.f64 n n) (fabs.f64 (-.f64 m n)))) (pow.f64 l 3)) (exp.f64 (fma.f64 -1/4 (.f64 n n) (fabs.f64 (-.f64 m n)))))))
(+.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 l 3)) 1) (exp.f64 (fma.f64 n (.f64 n -1/4) (fabs.f64 (-.f64 m n))))) (.f64 (exp.f64 (fma.f64 n (.f64 n -1/4) (fabs.f64 (-.f64 m n)))) (+.f64 (neg.f64 l) (.f64 1/2 (*.f64 l l)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 n (.f64 n -1/4))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 n (*.f64 n 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 n (.f64 n -1/4))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 n (*.f64 n 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 n (.f64 n -1/4))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 n (*.f64 n 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 n (.f64 n -1/4))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 n (*.f64 n 1/4) l)))
(exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (.f64 1/4 (pow.f64 n 2))))
(exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 n (.f64 n -1/4))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 n (*.f64 n 1/4) l)))
(exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (.f64 1/4 (pow.f64 n 2))))
(exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 n (.f64 n -1/4))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 n (*.f64 n 1/4) l)))
(exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (.f64 1/4 (pow.f64 n 2))))
(exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 n (.f64 n -1/4))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 n (*.f64 n 1/4) l)))
(exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (.f64 1/4 (pow.f64 n 2))))
(exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 n (.f64 n -1/4))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 n (*.f64 n 1/4) l)))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 n 2)))))
(exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 n (.f64 n -1/4))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (fma.f64 n (*.f64 n 1/4) l)))
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(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (-.f64 m n) (fma.f64 n (.f64 n 1/4) l))) 2) (cbrt.f64 (+.f64 (pow.f64 (-.f64 m (+.f64 n l)) 2) (fma.f64 (pow.f64 n 4) 1/16 (.f64 (-.f64 m (+.f64 n l)) (.f64 1/4 (*.f64 n n))))))) (cbrt.f64 (fma.f64 (pow.f64 n 6) -1/64 (pow.f64 (-.f64 m (+.f64 n l)) 3))))
(pow.f64 (+.f64 (-.f64 m (+.f64 n l)) (.f64 (.f64 n n) -1/4)) 1)
(-.f64 (fma.f64 (*.f64 n n) -1/4 (-.f64 m n)) l)
(-.f64 (-.f64 m n) (fma.f64 n (*.f64 n 1/4) l))
(pow.f64 (sqrt.f64 (+.f64 (-.f64 m (+.f64 n l)) (.f64 (.f64 n n) -1/4))) 2)
(-.f64 (fma.f64 (*.f64 n n) -1/4 (-.f64 m n)) l)
(-.f64 (-.f64 m n) (fma.f64 n (*.f64 n 1/4) l))
(pow.f64 (cbrt.f64 (+.f64 (-.f64 m (+.f64 n l)) (.f64 (.f64 n n) -1/4))) 3)
(-.f64 (fma.f64 (*.f64 n n) -1/4 (-.f64 m n)) l)
(-.f64 (-.f64 m n) (fma.f64 n (*.f64 n 1/4) l))
(pow.f64 (pow.f64 (+.f64 (-.f64 m (+.f64 n l)) (.f64 (.f64 n n) -1/4)) 3) 1/3)
(-.f64 (fma.f64 (*.f64 n n) -1/4 (-.f64 m n)) l)
(-.f64 (-.f64 m n) (fma.f64 n (*.f64 n 1/4) l))
(sqrt.f64 (pow.f64 (+.f64 (-.f64 m (+.f64 n l)) (.f64 (.f64 n n) -1/4)) 2))
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 n n) -1/4 (-.f64 m (+.f64 n l))) 2))
(fabs.f64 (-.f64 (-.f64 m n) (fma.f64 n (*.f64 n 1/4) l)))
(log.f64 (exp.f64 (+.f64 (-.f64 m (+.f64 n l)) (.f64 (.f64 n n) -1/4))))
(-.f64 (fma.f64 (*.f64 n n) -1/4 (-.f64 m n)) l)
(-.f64 (-.f64 m n) (fma.f64 n (*.f64 n 1/4) l))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (-.f64 m (+.f64 n l)) (.f64 (.f64 n n) -1/4)))))
(-.f64 (fma.f64 (*.f64 n n) -1/4 (-.f64 m n)) l)
(-.f64 (-.f64 m n) (fma.f64 n (*.f64 n 1/4) l))
(cbrt.f64 (pow.f64 (+.f64 (-.f64 m (+.f64 n l)) (.f64 (.f64 n n) -1/4)) 3))
(-.f64 (fma.f64 (*.f64 n n) -1/4 (-.f64 m n)) l)
(-.f64 (-.f64 m n) (fma.f64 n (*.f64 n 1/4) l))
(expm1.f64 (log1p.f64 (+.f64 (-.f64 m (+.f64 n l)) (.f64 (.f64 n n) -1/4))))
(-.f64 (fma.f64 (*.f64 n n) -1/4 (-.f64 m n)) l)
(-.f64 (-.f64 m n) (fma.f64 n (*.f64 n 1/4) l))
(exp.f64 (log.f64 (+.f64 (-.f64 m (+.f64 n l)) (.f64 (.f64 n n) -1/4))))
(-.f64 (fma.f64 (*.f64 n n) -1/4 (-.f64 m n)) l)
(-.f64 (-.f64 m n) (fma.f64 n (*.f64 n 1/4) l))
(exp.f64 (.f64 (log.f64 (+.f64 (-.f64 m (+.f64 n l)) (.f64 (*.f64 n n) -1/4))) 1))
(-.f64 (fma.f64 (*.f64 n n) -1/4 (-.f64 m n)) l)
(-.f64 (-.f64 m n) (fma.f64 n (*.f64 n 1/4) l))
(log1p.f64 (expm1.f64 (+.f64 (-.f64 m (+.f64 n l)) (.f64 (.f64 n n) -1/4))))
(-.f64 (fma.f64 (*.f64 n n) -1/4 (-.f64 m n)) l)
(-.f64 (-.f64 m n) (fma.f64 n (*.f64 n 1/4) l))
(fma.f64 1 (-.f64 m n) (neg.f64 (+.f64 l (.f64 n (.f64 n 1/4)))))
(-.f64 (fma.f64 (*.f64 n n) -1/4 (-.f64 m n)) l)
(-.f64 (-.f64 m n) (fma.f64 n (*.f64 n 1/4) l))
(fma.f64 1 (-.f64 m (+.f64 n l)) (.f64 (.f64 n n) -1/4))
(-.f64 (fma.f64 (*.f64 n n) -1/4 (-.f64 m n)) l)
(-.f64 (-.f64 m n) (fma.f64 n (*.f64 n 1/4) l))
(fma.f64 (sqrt.f64 (-.f64 m (+.f64 n l))) (sqrt.f64 (-.f64 m (+.f64 n l))) (.f64 (.f64 n n) -1/4))
(-.f64 (fma.f64 (*.f64 n n) -1/4 (-.f64 m n)) l)
(-.f64 (-.f64 m n) (fma.f64 n (*.f64 n 1/4) l))
(fma.f64 (sqrt.f64 (-.f64 m n)) (sqrt.f64 (-.f64 m n)) (neg.f64 (+.f64 l (.f64 n (.f64 n 1/4)))))
(-.f64 (fma.f64 (*.f64 n n) -1/4 (-.f64 m n)) l)
(-.f64 (-.f64 m n) (fma.f64 n (*.f64 n 1/4) l))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 m (+.f64 n l))) 2) (cbrt.f64 (-.f64 m (+.f64 n l))) (.f64 (.f64 n n) -1/4))
(-.f64 (fma.f64 (*.f64 n n) -1/4 (-.f64 m n)) l)
(-.f64 (-.f64 m n) (fma.f64 n (*.f64 n 1/4) l))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 m n)) 2) (cbrt.f64 (-.f64 m n)) (neg.f64 (+.f64 l (.f64 n (.f64 n 1/4)))))
(-.f64 (fma.f64 (*.f64 n n) -1/4 (-.f64 m n)) l)
(-.f64 (-.f64 m n) (fma.f64 n (*.f64 n 1/4) l))
(-.f64 (exp.f64 (log1p.f64 (.f64 n (.f64 n 1/4)))) 1)
(.f64 n (.f64 n 1/4))
(.f64 1/4 (.f64 n n))
(pow.f64 (.f64 n (.f64 n 1/4)) 1)
(.f64 n (.f64 n 1/4))
(.f64 1/4 (.f64 n n))
(pow.f64 (*.f64 n 1/2) 2)
(.f64 n (.f64 n 1/4))
(.f64 1/4 (.f64 n n))
(pow.f64 (cbrt.f64 (.f64 n (.f64 n 1/4))) 3)
(.f64 n (.f64 n 1/4))
(.f64 1/4 (.f64 n n))
(pow.f64 (.f64 1/64 (pow.f64 (.f64 n n) 3)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 n 6) 1/64))
(sqrt.f64 (*.f64 1/16 (pow.f64 n 4)))
(sqrt.f64 (*.f64 (pow.f64 n 4) 1/16))
(log.f64 (pow.f64 (exp.f64 1/4) (*.f64 n n)))
(.f64 n (.f64 n 1/4))
(.f64 1/4 (.f64 n n))
(log.f64 (+.f64 1 (expm1.f64 (.f64 n (.f64 n 1/4)))))
(.f64 n (.f64 n 1/4))
(.f64 1/4 (.f64 n n))
(cbrt.f64 (.f64 1/64 (pow.f64 (.f64 n n) 3)))
(cbrt.f64 (*.f64 (pow.f64 n 6) 1/64))
(expm1.f64 (log1p.f64 (.f64 n (.f64 n 1/4))))
(.f64 n (.f64 n 1/4))
(.f64 1/4 (.f64 n n))
(exp.f64 (log.f64 (.f64 n (.f64 n 1/4))))
(.f64 n (.f64 n 1/4))
(.f64 1/4 (.f64 n n))
(exp.f64 (.f64 (log.f64 (.f64 n (*.f64 n 1/4))) 1))
(.f64 n (.f64 n 1/4))
(.f64 1/4 (.f64 n n))
(log1p.f64 (expm1.f64 (.f64 n (.f64 n 1/4))))
(.f64 n (.f64 n 1/4))
(.f64 1/4 (.f64 n n))

localize93.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 (-.f64 (.f64 m m) (.f64 n n)) (/.f64 (/.f64 (-.f64 m n) K) 1/2)) M)
✓	2.5b	(-.f64 (.f64 m m) (.f64 n n))
✓	23.1b	(/.f64 (-.f64 (.f64 m m) (.f64 n n)) (/.f64 (/.f64 (-.f64 m n) K) 1/2))
✓	32.4b	(cos.f64 (-.f64 (/.f64 (-.f64 (.f64 m m) (.f64 n n)) (/.f64 (/.f64 (-.f64 m n) K) 1/2)) M))

Compiler

Compiled 193 to 65 computations (66.3% saved)

series13.0ms (0.1%)

Counts

4 → 156

Calls

39 calls:

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

rewrite157.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

442×	`add-sqr-sqrt`
432×	`pow1`
432×	`*-un-lft-identity`
420×	`associate-+l+`
412×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	164
1	409	92
2	6499	92

Stop Event

1×	node limit

Counts

4 → 262

Calls

Call 1

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

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

simplify172.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1394×	`fma-def`
1172×	`associate-r`
994×	`associate-l`
614×	`*-commutative`
592×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	693	19118
1	1959	17508

Stop Event

1×	node limit

Counts

418 → 428

Calls

Call 1

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

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

localize45.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 (+.f64 m n)) 2))
✓	0.5b	(pow.f64 (cbrt.f64 (+.f64 m n)) 2)
✓	0.6b	(cbrt.f64 (+.f64 m n))
✓	32.6b	(cos.f64 (-.f64 (/.f64 (cbrt.f64 (+.f64 m n)) (/.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 (+.f64 m n)) 2))) M))

Compiler

Compiled 154 to 53 computations (65.6% saved)

series40.0ms (0.2%)

Counts

4 → 84

Calls

33 calls:

Time	Variable		Point	Expression
15.0ms	m	@	0	(cbrt.f64 (+.f64 m n))
5.0ms	m	@	inf	(/.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 (+.f64 m n)) 2))
3.0ms	K	@	0	(/.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 (+.f64 m n)) 2))
2.0ms	n	@	inf	(/.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 (+.f64 m n)) 2))
2.0ms	m	@	-inf	(/.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 (+.f64 m n)) 2))

rewrite109.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1574×	`associate-/r/`
1040×	`associate-/l/`
390×	`add-sqr-sqrt`
380×	`*-un-lft-identity`
378×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	112
1	366	86
2	5344	86

Stop Event

1×	node limit

Counts

4 → 123

Calls

Call 1

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

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

simplify139.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1340×	`associate-r`
1020×	`associate-l`
788×	`+-commutative`
786×	`*-commutative`
772×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	597	10055
1	1711	9797
2	6878	9797

Stop Event

1×	node limit

Counts

207 → 280

Calls

Call 1

Inputs
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (*.f64 K m))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (pow.f64 m 2)))) (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (pow.f64 m 2)))) (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (+.f64 (.f64 1/48 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 (pow.f64 K 3) (pow.f64 m 3)))) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (*.f64 K m))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (pow.f64 K 2)))) (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (pow.f64 K 2)))) (+.f64 (.f64 1/48 (.f64 (pow.f64 n 3) (.f64 (pow.f64 K 3) (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) M))
(cos.f64 (neg.f64 M))
(+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 K (*.f64 (sin.f64 (neg.f64 M)) (+.f64 n m)))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))) (.f64 -1/2 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (+.f64 n m))))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (sin.f64 (neg.f64 M)) (pow.f64 (+.f64 n m) 3)))) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))) (.f64 -1/2 (.f64 K (*.f64 (sin.f64 (neg.f64 M)) (+.f64 n m)))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M) (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M) (+.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))) (pow.f64 M 2)))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M) (+.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (+.f64 (.f64 -1/6 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (pow.f64 M 3))) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))) (pow.f64 M 2))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m)))))
(cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m)))))
(cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m)))))
(cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m)))))
(pow.f64 n 1/3)
(+.f64 (pow.f64 n 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/9) m)))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/9) (pow.f64 m 2))) (+.f64 (pow.f64 n 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/9) m))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/3) (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/3) (pow.f64 (pow.f64 1 4) 1/9))) (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/3))) (pow.f64 m 3)))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 n 7)) 1/9) (pow.f64 m 2))) (+.f64 (pow.f64 n 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/9) m)))))
(pow.f64 m 1/3)
(+.f64 (.f64 1/3 (.f64 n (pow.f64 (/.f64 1 (pow.f64 m 2)) 1/9))) (pow.f64 m 1/3))
(+.f64 (.f64 -1/9 (.f64 (pow.f64 n 2) (pow.f64 (/.f64 1 (pow.f64 m 7)) 1/9))) (+.f64 (.f64 1/3 (.f64 n (pow.f64 (/.f64 1 (pow.f64 m 2)) 1/9))) (pow.f64 m 1/3)))
(+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 n 3) (+.f64 (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 m 2)) 1/3)) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 m 2)) 1/3))))) (pow.f64 (/.f64 1 (pow.f64 m 2)) 1/3))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 n 2) (pow.f64 (/.f64 1 (pow.f64 m 7)) 1/9))) (+.f64 (.f64 1/3 (.f64 n (pow.f64 (/.f64 1 (pow.f64 m 2)) 1/9))) (pow.f64 m 1/3))))
(pow.f64 (pow.f64 n 2) 1/3)
(+.f64 (.f64 2/3 (.f64 (pow.f64 (*.f64 n 1) 1/9) m)) (pow.f64 (pow.f64 n 2) 1/3))
(+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 n 1) 1/9) m)) (+.f64 (pow.f64 (pow.f64 n 2) 1/3) (.f64 (pow.f64 m 2) (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 n 4)) 1/9)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 n 4)) 1/9))))))
(+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 n 1) 1/9) m)) (+.f64 (pow.f64 (pow.f64 n 2) 1/3) (+.f64 (.f64 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 n) 1/3) (+.f64 (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/3)) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/3) (pow.f64 (pow.f64 1 4) 1/9)))))) (.f64 -2/27 (.f64 (pow.f64 1 1/9) (/.f64 1 n)))) (pow.f64 m 3)) (.f64 (pow.f64 m 2) (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 n 4)) 1/9)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 n 4)) 1/9)))))))
(pow.f64 (pow.f64 m 2) 1/3)
(+.f64 (pow.f64 (pow.f64 m 2) 1/3) (.f64 2/3 (.f64 n (pow.f64 (*.f64 1 m) 1/9))))
(+.f64 (pow.f64 (pow.f64 m 2) 1/3) (+.f64 (.f64 2/3 (.f64 n (pow.f64 (.f64 1 m) 1/9))) (.f64 (pow.f64 n 2) (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 m 4)) 1/9)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 m 4)) 1/9))))))
(+.f64 (pow.f64 (pow.f64 m 2) 1/3) (+.f64 (.f64 2/3 (.f64 n (pow.f64 (.f64 1 m) 1/9))) (+.f64 (.f64 (pow.f64 n 3) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 m) 1/3) (+.f64 (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 m 2)) 1/3)) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 m 2)) 1/3)))))) (.f64 -2/27 (.f64 (pow.f64 1 1/9) (/.f64 1 m))))) (.f64 (pow.f64 n 2) (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 m 4)) 1/9)) (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 m 4)) 1/9)))))))
(.f64 2 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 n m) 2)) 1/3) (/.f64 1 K)))
(.f64 2 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 n m) 2)) 1/3) (/.f64 1 K)))
(.f64 2 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 n m) 2)) 1/3) (/.f64 1 K)))
(.f64 2 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 n m) 2)) 1/3) (/.f64 1 K)))
(.f64 2 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 n m) 2)) 1/3) (/.f64 1 K)))
(.f64 2 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 n m) 2)) 1/3) (/.f64 1 K)))
(.f64 2 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 n m) 2)) 1/3) (/.f64 1 K)))
(.f64 2 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 n m) 2)) 1/3) (/.f64 1 K)))
(.f64 2 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 n m) 2)) 1/3) (/.f64 1 K)))
(.f64 2 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 n m) 2)) 1/3) (/.f64 1 K)))
(.f64 2 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 n m) 2)) 1/3) (/.f64 1 K)))
(.f64 2 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 n m) 2)) 1/3) (/.f64 1 K)))
(.f64 2 (.f64 (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/3) (/.f64 1 K)))
(+.f64 (.f64 -4/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 n 23)) 1/9) (/.f64 m K))) (.f64 2 (.f64 (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/3) (/.f64 1 K))))
(+.f64 (.f64 2/3 (.f64 (/.f64 (.f64 (-.f64 (.f64 3 (/.f64 1 (pow.f64 n 4))) (.f64 4/3 (pow.f64 (/.f64 1 (pow.f64 n 52)) 1/9))) (pow.f64 m 2)) K) (pow.f64 (.f64 (pow.f64 n 4) 1) 1/3))) (+.f64 (.f64 -4/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 n 23)) 1/9) (/.f64 m K))) (.f64 2 (.f64 (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/3) (/.f64 1 K)))))
(+.f64 (.f64 2/3 (.f64 (/.f64 (.f64 (-.f64 (.f64 3 (/.f64 1 (pow.f64 n 4))) (.f64 4/3 (pow.f64 (/.f64 1 (pow.f64 n 52)) 1/9))) (pow.f64 m 2)) K) (pow.f64 (.f64 (pow.f64 n 4) 1) 1/3))) (+.f64 (.f64 -4/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 n 23)) 1/9) (/.f64 m K))) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (.f64 (pow.f64 n 4) 1) 1/3) (/.f64 (.f64 (pow.f64 m 3) (+.f64 (.f64 -8/27 (pow.f64 (/.f64 1 (pow.f64 n 23)) 1/3)) (+.f64 (.f64 -4/3 (.f64 (-.f64 (.f64 3 (/.f64 1 (pow.f64 n 4))) (.f64 4/3 (pow.f64 (/.f64 1 (pow.f64 n 52)) 1/9))) (pow.f64 (/.f64 1 (pow.f64 n 17)) 1/9))) (.f64 4 (/.f64 1 (pow.f64 n 5)))))) K))) (.f64 2 (.f64 (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/3) (/.f64 1 K))))))
(.f64 2 (.f64 (pow.f64 (/.f64 1 (pow.f64 m 2)) 1/3) (/.f64 1 K)))
(+.f64 (.f64 2 (.f64 (pow.f64 (/.f64 1 (pow.f64 m 2)) 1/3) (/.f64 1 K))) (.f64 -4/3 (.f64 (/.f64 n K) (pow.f64 (/.f64 1 (pow.f64 m 23)) 1/9))))
(+.f64 (.f64 2 (.f64 (pow.f64 (/.f64 1 (pow.f64 m 2)) 1/3) (/.f64 1 K))) (+.f64 (.f64 -4/3 (.f64 (/.f64 n K) (pow.f64 (/.f64 1 (pow.f64 m 23)) 1/9))) (.f64 2/3 (.f64 (/.f64 (.f64 (pow.f64 n 2) (-.f64 (.f64 3 (/.f64 1 (pow.f64 m 4))) (.f64 4/3 (pow.f64 (/.f64 1 (pow.f64 m 52)) 1/9)))) K) (pow.f64 (.f64 1 (pow.f64 m 4)) 1/3)))))
(+.f64 (.f64 2 (.f64 (pow.f64 (/.f64 1 (pow.f64 m 2)) 1/3) (/.f64 1 K))) (+.f64 (.f64 -2/3 (.f64 (/.f64 (.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 m 5))) (+.f64 (.f64 -4/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 m 17)) 1/9) (-.f64 (.f64 3 (/.f64 1 (pow.f64 m 4))) (.f64 4/3 (pow.f64 (/.f64 1 (pow.f64 m 52)) 1/9))))) (.f64 -8/27 (pow.f64 (/.f64 1 (pow.f64 m 23)) 1/3)))) (pow.f64 n 3)) K) (pow.f64 (.f64 1 (pow.f64 m 4)) 1/3))) (+.f64 (.f64 -4/3 (.f64 (/.f64 n K) (pow.f64 (/.f64 1 (pow.f64 m 23)) 1/9))) (.f64 2/3 (.f64 (/.f64 (.f64 (pow.f64 n 2) (-.f64 (.f64 3 (/.f64 1 (pow.f64 m 4))) (.f64 4/3 (pow.f64 (/.f64 1 (pow.f64 m 52)) 1/9)))) K) (pow.f64 (.f64 1 (pow.f64 m 4)) 1/3))))))
(+.f64 (.f64 (cos.f64 (.f64 (.f64 K 1/2) (+.f64 m n))) (cos.f64 M)) (.f64 (sin.f64 (.f64 (.f64 K 1/2) (+.f64 m n))) (sin.f64 M)))
(+.f64 (.f64 (sin.f64 (.f64 (.f64 K 1/2) (+.f64 m n))) (sin.f64 M)) (.f64 (cos.f64 (.f64 (.f64 K 1/2) (+.f64 m n))) (cos.f64 M)))
(+.f64 (.f64 (.f64 (cos.f64 (.f64 (.f64 K 1/2) (+.f64 m n))) (cos.f64 M)) 1) (.f64 (.f64 (sin.f64 (.f64 (.f64 K 1/2) (+.f64 m n))) (sin.f64 M)) 1))
(+.f64 (.f64 (.f64 (sin.f64 (.f64 (.f64 K 1/2) (+.f64 m n))) (sin.f64 M)) 1) (.f64 (.f64 (cos.f64 (.f64 (.f64 K 1/2) (+.f64 m n))) (cos.f64 M)) 1))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 (.f64 (.f64 K 1/2) (+.f64 m n)) M)))) 1)
(-.f64 (.f64 (cos.f64 (.f64 (.f64 K 1/2) (+.f64 m n))) (cos.f64 (neg.f64 M))) (.f64 (sin.f64 (.f64 (.f64 K 1/2) (+.f64 m n))) (sin.f64 (neg.f64 M))))
(.f64 (cos.f64 (-.f64 (.f64 (*.f64 K 1/2) (+.f64 m n)) M)) 1)
(.f64 1 (cos.f64 (-.f64 (.f64 (*.f64 K 1/2) (+.f64 m n)) M)))
(.f64 (sqrt.f64 (cos.f64 (-.f64 (.f64 (.f64 K 1/2) (+.f64 m n)) M))) (sqrt.f64 (cos.f64 (-.f64 (.f64 (*.f64 K 1/2) (+.f64 m n)) M))))
(.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 (.f64 K 1/2) (+.f64 m n)) M))) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 (*.f64 K 1/2) (+.f64 m n)) M))) 2))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 (.f64 K 1/2) (+.f64 m n)) M))) 2) (cbrt.f64 (cos.f64 (-.f64 (.f64 (*.f64 K 1/2) (+.f64 m n)) M))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 (.f64 (.f64 K 1/2) (+.f64 m n))) (cos.f64 M)) (.f64 (cos.f64 (.f64 (.f64 K 1/2) (+.f64 m n))) (cos.f64 M))) (.f64 (.f64 (sin.f64 (.f64 (.f64 K 1/2) (+.f64 m n))) (sin.f64 M)) (.f64 (sin.f64 (.f64 (.f64 K 1/2) (+.f64 m n))) (sin.f64 M)))) (-.f64 (.f64 (cos.f64 (.f64 (.f64 K 1/2) (+.f64 m n))) (cos.f64 M)) (.f64 (sin.f64 (.f64 (.f64 K 1/2) (+.f64 m n))) (sin.f64 M))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 (.f64 K 1/2) (+.f64 m n))) (cos.f64 M)) 3) (pow.f64 (.f64 (sin.f64 (.f64 (.f64 K 1/2) (+.f64 m n))) (sin.f64 M)) 3)) (+.f64 (.f64 (.f64 (cos.f64 (.f64 (.f64 K 1/2) (+.f64 m n))) (cos.f64 M)) (.f64 (cos.f64 (.f64 (.f64 K 1/2) (+.f64 m n))) (cos.f64 M))) (-.f64 (.f64 (.f64 (sin.f64 (.f64 (.f64 K 1/2) (+.f64 m n))) (sin.f64 M)) (.f64 (sin.f64 (.f64 (.f64 K 1/2) (+.f64 m n))) (sin.f64 M))) (.f64 (.f64 (cos.f64 (.f64 (.f64 K 1/2) (+.f64 m n))) (cos.f64 M)) (.f64 (sin.f64 (.f64 (*.f64 K 1/2) (+.f64 m n))) (sin.f64 M))))))
(pow.f64 (cos.f64 (-.f64 (.f64 (.f64 K 1/2) (+.f64 m n)) M)) 1)
(pow.f64 (sqrt.f64 (cos.f64 (-.f64 (.f64 (.f64 K 1/2) (+.f64 m n)) M))) 2)
(pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 (.f64 K 1/2) (+.f64 m n)) M))) 3)
(pow.f64 (pow.f64 (cos.f64 (-.f64 (.f64 (.f64 K 1/2) (+.f64 m n)) M)) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 (-.f64 (.f64 (.f64 K 1/2) (+.f64 m n)) M)) 2))
(log.f64 (exp.f64 (cos.f64 (-.f64 (.f64 (.f64 K 1/2) (+.f64 m n)) M))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 (.f64 (.f64 K 1/2) (+.f64 m n)) M)))))
(cbrt.f64 (pow.f64 (cos.f64 (-.f64 (.f64 (.f64 K 1/2) (+.f64 m n)) M)) 3))
(expm1.f64 (log1p.f64 (cos.f64 (-.f64 (.f64 (.f64 K 1/2) (+.f64 m n)) M))))
(exp.f64 (log.f64 (cos.f64 (-.f64 (.f64 (.f64 K 1/2) (+.f64 m n)) M))))
(exp.f64 (.f64 (log.f64 (cos.f64 (-.f64 (.f64 (*.f64 K 1/2) (+.f64 m n)) M))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (-.f64 (.f64 (.f64 K 1/2) (+.f64 m n)) M))))
(fma.f64 (cos.f64 (.f64 (.f64 K 1/2) (+.f64 m n))) (cos.f64 M) (.f64 (sin.f64 (.f64 (*.f64 K 1/2) (+.f64 m n))) (sin.f64 M)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (+.f64 m n)))) 1)
(*.f64 (cbrt.f64 (+.f64 m n)) 1)
(*.f64 1 (cbrt.f64 (+.f64 m n)))
(*.f64 (pow.f64 (+.f64 m n) 1/6) (pow.f64 (+.f64 m n) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 m n))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 m n))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 m n))) 2) (cbrt.f64 (cbrt.f64 (+.f64 m n))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 m n)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 m n))) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (+.f64 m n)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 m n)) 1/3) (pow.f64 (sqrt.f64 (+.f64 m n)) 1/3))
(/.f64 (cbrt.f64 (fma.f64 m m (neg.f64 (*.f64 n n)))) (cbrt.f64 (-.f64 m n)))
(/.f64 (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 m n) 1/3)
(pow.f64 (cbrt.f64 (+.f64 m n)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 m n)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 m n) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 m n))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 m n)) 2))
(fabs.f64 (cbrt.f64 (+.f64 m n)))
(log.f64 (exp.f64 (cbrt.f64 (+.f64 m n))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (+.f64 m n)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (+.f64 m n))))
(exp.f64 (log.f64 (cbrt.f64 (+.f64 m n))))
(exp.f64 (*.f64 (log.f64 (+.f64 m n)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 m n))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (+.f64 m n))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 m n)) 2))) 1)
(*.f64 (cbrt.f64 (+.f64 m n)) (cbrt.f64 (+.f64 m n)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 m n)) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (+.f64 m n)) 2))
(*.f64 (sqrt.f64 (+.f64 m n)) (pow.f64 (+.f64 m n) 1/6))
(.f64 (pow.f64 (+.f64 m n) 1/6) (.f64 (pow.f64 (+.f64 m n) 1/6) (cbrt.f64 (+.f64 m n))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 m n)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 m n))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 m n))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 m n)) 4)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 m n))) 2) (.f64 (cbrt.f64 (cbrt.f64 (+.f64 m n))) (cbrt.f64 (+.f64 m n))))
(.f64 (.f64 (cbrt.f64 (+.f64 m n)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 m n))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 m n))))
(sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 m n)) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 m n)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (+.f64 m n)) 2))))
(cbrt.f64 (pow.f64 (+.f64 m n) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (+.f64 m n)) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 m n)))))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (+.f64 m n)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (+.f64 m n)) 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 (+.f64 m n)) -2)))) 1)
(.f64 2 (.f64 (/.f64 1 K) (pow.f64 (cbrt.f64 (+.f64 m n)) -2)))
(.f64 2 (/.f64 1 (.f64 K (pow.f64 (cbrt.f64 (+.f64 m n)) 2))))
(*.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 (+.f64 m n)) -2))
(.f64 (.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 (+.f64 m n)) -2)) 1)
(.f64 1 (.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 (+.f64 m n)) -2)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 K)) (cbrt.f64 (+.f64 m n))) (/.f64 (sqrt.f64 (/.f64 2 K)) (cbrt.f64 (+.f64 m n))))
(.f64 (sqrt.f64 (/.f64 2 K)) (.f64 (sqrt.f64 (/.f64 2 K)) (pow.f64 (cbrt.f64 (+.f64 m n)) -2)))
(*.f64 (sqrt.f64 (/.f64 2 K)) (/.f64 (sqrt.f64 (/.f64 2 K)) (pow.f64 (cbrt.f64 (+.f64 m n)) 2)))
(.f64 (cbrt.f64 (.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 (+.f64 m n)) -2))) (cbrt.f64 (/.f64 (/.f64 4 (*.f64 K K)) (pow.f64 (cbrt.f64 (+.f64 m n)) 4))))
(.f64 (cbrt.f64 (/.f64 (/.f64 4 (.f64 K K)) (pow.f64 (cbrt.f64 (+.f64 m n)) 4))) (cbrt.f64 (*.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 (+.f64 m n)) -2))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 2 K)) 2) (.f64 (cbrt.f64 (/.f64 2 K)) (pow.f64 (cbrt.f64 (+.f64 m n)) -2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 m n)) -2) (/.f64 2 K))
(*.f64 (/.f64 -2 K) (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 m n)) 2))))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 (+.f64 m n)) 2)) (/.f64 1 K))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 m n))) (/.f64 (/.f64 2 K) (cbrt.f64 (+.f64 m n))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 m n)) 4))) (/.f64 2 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 m n))) 2) K)))
(.f64 -1 (/.f64 -2 (.f64 K (pow.f64 (cbrt.f64 (+.f64 m n)) 2))))
(.f64 (/.f64 1 (.f64 K (pow.f64 (cbrt.f64 (+.f64 m n)) 2))) 2)
(*.f64 (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 m n)) 2))) (/.f64 -2 K))
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 K)) (pow.f64 (cbrt.f64 (+.f64 m n)) 2)) (sqrt.f64 (/.f64 2 K)))
(*.f64 (/.f64 2 (cbrt.f64 (+.f64 m n))) (/.f64 (/.f64 1 K) (cbrt.f64 (+.f64 m n))))
(.f64 (/.f64 2 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 m n)) 4))) (/.f64 1 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 m n))) 2) K)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 2 K)) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 m n)) 4))) (/.f64 (sqrt.f64 (/.f64 2 K)) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 m n))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 K)) 2) (cbrt.f64 (+.f64 m n))) (/.f64 (cbrt.f64 (/.f64 2 K)) (cbrt.f64 (+.f64 m n))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 K)) 2) 1) (/.f64 (cbrt.f64 (/.f64 2 K)) (pow.f64 (cbrt.f64 (+.f64 m n)) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 K)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 m n)) 4))) (cbrt.f64 (.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 (+.f64 m n)) -2))))
(.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (/.f64 (/.f64 4 (.f64 K K)) (pow.f64 (cbrt.f64 (+.f64 m n)) 4))))) (cbrt.f64 (*.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 (+.f64 m n)) -2))))
(*.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (+.f64 m n)) 2) 2)) (/.f64 1 K))
(*.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (+.f64 m n)) 2) (sqrt.f64 (/.f64 2 K)))) (sqrt.f64 (/.f64 2 K)))
(*.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (+.f64 m n)) 2) (pow.f64 (cbrt.f64 (/.f64 2 K)) 2))) (cbrt.f64 (/.f64 2 K)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 2 K)) 2) (pow.f64 (cbrt.f64 (+.f64 m n)) 2)) (cbrt.f64 (/.f64 2 K)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 m n)) -2) K) 2)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 m n)) -2) 1) (/.f64 2 K))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 m n)) -2) (sqrt.f64 K)) (/.f64 2 (sqrt.f64 K)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 m n)) -2) (pow.f64 (cbrt.f64 K) 2)) (/.f64 2 (cbrt.f64 K)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 m n)) -2) (neg.f64 K)) -2)
(.f64 (/.f64 (/.f64 (/.f64 2 K) (cbrt.f64 (+.f64 m n))) (cbrt.f64 (fma.f64 m m (neg.f64 (.f64 n n))))) (cbrt.f64 (-.f64 m n)))
(.f64 (/.f64 (/.f64 (/.f64 2 K) (cbrt.f64 (+.f64 m n))) (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 (/.f64 2 K) (pow.f64 (cbrt.f64 (+.f64 m n)) -2)) 1)
(pow.f64 (/.f64 (sqrt.f64 (/.f64 2 K)) (cbrt.f64 (+.f64 m n))) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 (+.f64 m n)) -2))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 (+.f64 m n)) -2)) 3) 1/3)
(pow.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 m n)) 2) (.f64 K 1/2)) -1)
(neg.f64 (/.f64 2 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 m n)) 2)) K)))
(sqrt.f64 (/.f64 (/.f64 4 (*.f64 K K)) (pow.f64 (cbrt.f64 (+.f64 m n)) 4)))
(log.f64 (pow.f64 (exp.f64 (/.f64 2 K)) (pow.f64 (cbrt.f64 (+.f64 m n)) -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 (+.f64 m n)) -2)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 (+.f64 m n)) -2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 2 K) 3) (pow.f64 (+.f64 m n) 2)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 (+.f64 m n)) -2))))
(exp.f64 (log.f64 (*.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 (+.f64 m n)) -2))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 (+.f64 m n)) -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 (+.f64 m n)) -2))))

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

eval1.6s (7%)

Compiler: Compiled 82129 to 42483 computations (48.3% saved)

prune1.0s (4.6%)

Pruning

33 alts after pruning (32 fresh and 1 done)

	Pruned	Kept	Total
New	1750	17	1767
Fresh	4	15	19
Picked	1	0	1
Done	3	1	4
Total	1758	33	1791

Error

1.5b

Counts

1791 → 33

Alt Table

Click to see full alt table

Status	Error	Program
	31.8b	(.f64 (log1p.f64 (expm1.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
	31.8b	(.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) (.f64 M M))))
	51.2b	(*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (cos.f64 M))
▶	6.2b	(.f64 (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M))) 3) 3)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	39.5b	(.f64 (cos.f64 (pow.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 1/2 (.f64 K m)) 3) (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))))) 3)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
▶	30.0b	(.f64 (cos.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 3)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
	49.4b	(.f64 (cos.f64 (-.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (+.f64 m n) (.f64 K 1/2))))) (sqrt.f64 (log.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	39.4b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (/.f64 (-.f64 m n) (.f64 K 1/2))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
	21.8b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 n (neg.f64 n)) (/.f64 (/.f64 (-.f64 m n) K) 1/2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	12.3b	(*.f64 (cos.f64 (-.f64 (/.f64 (cbrt.f64 (+.f64 m n)) (/.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 (+.f64 m n)) 2))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
▶	31.4b	(.f64 (cos.f64 (-.f64 (/.f64 (cbrt.f64 (+.f64 m n)) (/.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 n) 2))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
	33.8b	(.f64 (cos.f64 (-.f64 (/.f64 (cbrt.f64 (+.f64 m n)) (/.f64 (/.f64 2 K) (cbrt.f64 (.f64 n n)))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (*.f64 M M))))
	33.8b	(.f64 (cos.f64 (-.f64 (/.f64 (cbrt.f64 (+.f64 m n)) (.f64 2 (/.f64 (cbrt.f64 (/.f64 1 (.f64 n n))) K))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
	31.3b	(.f64 (cos.f64 (-.f64 (/.f64 (cbrt.f64 m) (/.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 (+.f64 m n)) 2))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
	14.4b	(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (log.f64 (exp.f64 (exp.f64 (-.f64 m (+.f64 n (+.f64 l (*.f64 M M))))))))
	14.7b	(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (expm1.f64 (log1p.f64 (exp.f64 (-.f64 m (+.f64 n (+.f64 l (*.f64 M M))))))))
	51.7b	(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)))
▶	14.7b	(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (-.f64 m (+.f64 n (+.f64 l (*.f64 M M))))))
	30.0b	(.f64 (cos.f64 (-.f64 (.f64 (.f64 1/2 K) m) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
	37.4b	(.f64 (cos.f64 (-.f64 (.f64 (cbrt.f64 (.f64 (+.f64 n m) (-.f64 m n))) (/.f64 (cbrt.f64 (.f64 (+.f64 n m) (-.f64 m n))) (.f64 (/.f64 (/.f64 2 K) (cbrt.f64 (.f64 (+.f64 n m) (-.f64 m n)))) (-.f64 m n)))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (*.f64 M M))))
	49.8b	(.f64 (cos.f64 (-.f64 (exp.f64 (-.f64 (log.f64 (.f64 -1/2 (+.f64 n m))) (log.f64 (/.f64 -1 K)))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	45.2b	(.f64 (cos.f64 (-.f64 (exp.f64 (log.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
	30.8b	(.f64 (cos.f64 (-.f64 (exp.f64 (log.f64 (.f64 1/2 (*.f64 K m)))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	36.6b	(.f64 (cos.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 1/3) (cbrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))) (.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 1/3) (cbrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	60.4b	(*.f64 (cos.f64 M) (-.f64 1 l))
✓	29.2b	(.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 (*.f64 n n) 1/4))))
	14.4b	(.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 m (+.f64 n l)) (.f64 (*.f64 n n) -1/4))))
	30.4b	(.f64 (cos.f64 M) (exp.f64 (.f64 (*.f64 -1/4 m) m)))
	30.4b	(.f64 (cos.f64 M) (exp.f64 (.f64 n (*.f64 n -1/4))))
	28.6b	(.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M))))
	46.2b	(*.f64 (cos.f64 M) (exp.f64 l))
	45.2b	(exp.f64 (neg.f64 l))
▶	60.2b	(cos.f64 M)

Compiler

Compiled 1885 to 1281 computations (32% saved)

localize71.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))) 3)
✓	0.7b	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))) 3) 3)
	4.8b	(cbrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))
✓	39.9b	(cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))) 3) 3))

Compiler

Compiled 185 to 94 computations (49.2% saved)

series258.0ms (1.1%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
52.0ms	M	@	inf	(cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))) 3) 3))
37.0ms	M	@	-inf	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))) 3) 3)
27.0ms	M	@	-inf	(cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))) 3) 3))
20.0ms	m	@	inf	(cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))) 3) 3))
14.0ms	K	@	-inf	(cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))) 3) 3))

rewrite399.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

894×	`swap-sqr`
610×	`distribute-rgt-in`
560×	`distribute-lft-in`
518×	`associate-*r/`
412×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	65
1	341	65
2	3739	65

Stop Event

1×	node limit

Counts

3 → 189

Calls

Call 1

Inputs

(cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 1/2 (*.f64 K m)) M))) 3) 3))

(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 1/2 (*.f64 K m)) M))) 3) 3)

(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (*.f64 1/2 (*.f64 K m)) M))) 3)

Outputs

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

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

simplify1.2s (5.2%)

Algorithm

1×	egg-herbie

Rules

1526×	`*-commutative`
1020×	`+-commutative`
760×	`fma-def`
556×	`associate-+r+`
538×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1984	139737
1	7077	139203

Stop Event

1×	node limit

Counts

297 → 577

Calls

Call 1

Inputs
(cos.f64 (*.f64 (pow.f64 -1 1/9) M))
(+.f64 (cos.f64 (.f64 (pow.f64 -1 1/9) M)) (.f64 -1 (.f64 K (.f64 (sin.f64 (.f64 (pow.f64 -1 1/9) M)) (+.f64 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (+.f64 (.f64 -1/9 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m))) (.f64 -1/18 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m)))) (pow.f64 (pow.f64 M 2) 1/3))) (.f64 2 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (+.f64 (.f64 -1/18 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m))) (.f64 -1/9 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m)))) (pow.f64 (pow.f64 M 2) 1/3)))))))))
(+.f64 (cos.f64 (.f64 (pow.f64 -1 1/9) M)) (+.f64 (.f64 (pow.f64 K 2) (-.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 (pow.f64 -1 1/9) M)) (pow.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (+.f64 (.f64 -1/9 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m))) (.f64 -1/18 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m)))) (pow.f64 (pow.f64 M 2) 1/3)))) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (+.f64 (.f64 -1/18 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m))) (.f64 -1/9 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m)))) (pow.f64 (pow.f64 M 2) 1/3)))) 2))) (.f64 (sin.f64 (.f64 (pow.f64 -1 1/9) M)) (+.f64 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (.f64 1 M) 1/3) (+.f64 (pow.f64 (+.f64 (.f64 -1/18 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m))) (.f64 -1/9 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m)))) 2) (.f64 2 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (.f64 1 M) 1/3) (+.f64 (.f64 1/162 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 5)) 1/3) (pow.f64 m 2)))) (+.f64 (.f64 (pow.f64 (.f64 -1 M) 1/9) (+.f64 (.f64 2 (.f64 (pow.f64 (.f64 1 (pow.f64 M 2)) 1/9) (+.f64 (.f64 -1/72 (/.f64 (pow.f64 m 2) (pow.f64 M 2))) (.f64 1/648 (/.f64 (pow.f64 m 2) (pow.f64 M 2)))))) (.f64 1/324 (.f64 (pow.f64 (/.f64 1 (pow.f64 M 16)) 1/9) (pow.f64 m 2))))) (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (.f64 1 M) 1/3) (+.f64 (.f64 -1/72 (/.f64 (pow.f64 m 2) (pow.f64 M 2))) (.f64 1/648 (/.f64 (pow.f64 m 2) (pow.f64 M 2)))))))))))))) (+.f64 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (+.f64 (.f64 1/162 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 5)) 1/3) (pow.f64 m 2)))) (+.f64 (.f64 (pow.f64 (.f64 -1 M) 1/9) (+.f64 (.f64 2 (.f64 (pow.f64 (.f64 1 (pow.f64 M 2)) 1/9) (+.f64 (.f64 -1/72 (/.f64 (pow.f64 m 2) (pow.f64 M 2))) (.f64 1/648 (/.f64 (pow.f64 m 2) (pow.f64 M 2)))))) (.f64 1/324 (.f64 (pow.f64 (/.f64 1 (pow.f64 M 16)) 1/9) (pow.f64 m 2))))) (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (.f64 1 M) 1/3) (+.f64 (.f64 -1/72 (/.f64 (pow.f64 m 2) (pow.f64 M 2))) (.f64 1/648 (/.f64 (pow.f64 m 2) (pow.f64 M 2)))))))) (pow.f64 (pow.f64 M 2) 1/3))) (.f64 2 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (.f64 1 M) 1/3) (.f64 (+.f64 (.f64 -1/9 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m))) (.f64 -1/18 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m)))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m))) (.f64 -1/9 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m))))))))))))) (.f64 -1 (.f64 K (.f64 (sin.f64 (.f64 (pow.f64 -1 1/9) M)) (+.f64 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (+.f64 (.f64 -1/9 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m))) (.f64 -1/18 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m)))) (pow.f64 (pow.f64 M 2) 1/3))) (.f64 2 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (+.f64 (.f64 -1/18 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m))) (.f64 -1/9 (.f64 (pow.f64 -1 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m)))) (pow.f64 (pow.f64 M 2) 1/3))))))))))
(+.f64 (cos.f64 (.f64 (pow.f64 -1 1/9) M)) (+.f64 (.f64 (pow.f64 K 3) (-.f64 (.f64 -1 (.f64 (cos.f64 (.f64 (pow.f64 -1 1/9) M)) (.f64 (+.f64 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (+.f64 (.f64 1/162 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 5)) 1/3) (pow.f64 m 2)))) (+.f64 (.f64 (pow.f64 (.f64 -1 M) 1/9) (+.f64 (.f64 2 (.f64 (pow.f64 (.f64 1 (pow.f64 M 2)) 1/9) (+.f64 (.f64 -1/72 (/.f64 (pow.f64 m 2) (pow.f64 M 2))) (.f64 1/648 (/.f64 (pow.f64 m 2) (pow.f64 M 2)))))) (.f64 1/324 (.f64 (pow.f64 (/.f64 1 (pow.f64 M 16)) 1/9) (pow.f64 m 2))))) (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (.f64 1 M) 1/3) (+.f64 (.f64 -1/72 (/.f64 (pow.f64 m 2) (pow.f64 M 2))) (.f64 1/648 (/.f64 (pow.f64 m 2) (pow.f64 M 2)))))))) (pow.f64 (pow.f64 M 2) 1/3))) (+.f64 (.f64 2 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (.f64 1 M) 1/3) (.f64 (+.f64 (.f64 -1/9 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m))) (.f64 -1/18 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m)))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m))) (.f64 -1/9 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m)))))))) (.f64 (+.f64 (pow.f64 (+.f64 (.f64 -1/9 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m))) (.f64 -1/18 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m)))) 2) (.f64 2 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (.f64 1 M) 1/3) (+.f64 (.f64 1/162 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 5)) 1/3) (pow.f64 m 2)))) (+.f64 (.f64 (pow.f64 (.f64 -1 M) 1/9) (+.f64 (.f64 2 (.f64 (pow.f64 (.f64 1 (pow.f64 M 2)) 1/9) (+.f64 (.f64 -1/72 (/.f64 (pow.f64 m 2) (pow.f64 M 2))) (.f64 1/648 (/.f64 (pow.f64 m 2) (pow.f64 M 2)))))) (.f64 1/324 (.f64 (pow.f64 (/.f64 1 (pow.f64 M 16)) 1/9) (pow.f64 m 2))))) (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (.f64 1 M) 1/3) (+.f64 (.f64 -1/72 (/.f64 (pow.f64 m 2) (pow.f64 M 2))) (.f64 1/648 (/.f64 (pow.f64 m 2) (pow.f64 M 2)))))))))))) (.f64 (pow.f64 -1 1/9) (pow.f64 (.f64 1 M) 1/3))))) (+.f64 (.f64 2 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (+.f64 (.f64 -1/9 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m))) (.f64 -1/18 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m)))) (pow.f64 (pow.f64 M 2) 1/3)))) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (+.f64 (.f64 -1/18 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m))) (.f64 -1/9 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m)))) (pow.f64 (pow.f64 M 2) 1/3))))))) (.f64 (sin.f64 (.f64 (pow.f64 -1 1/9) M)) (+.f64 (.f64 -1/6 (pow.f64 (+.f64 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (+.f64 (.f64 -1/9 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m))) (.f64 -1/18 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m)))) (pow.f64 (pow.f64 M 2) 1/3))) (.f64 2 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (+.f64 (.f64 -1/18 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m))) (.f64 -1/9 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m)))) (pow.f64 (pow.f64 M 2) 1/3))))) 3)) (+.f64 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (.f64 1 M) 1/3) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/162 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 5)) 1/3) (pow.f64 m 2)))) (+.f64 (.f64 (pow.f64 (.f64 -1 M) 1/9) (+.f64 (.f64 2 (.f64 (pow.f64 (.f64 1 (pow.f64 M 2)) 1/9) (+.f64 (.f64 -1/72 (/.f64 (pow.f64 m 2) (pow.f64 M 2))) (.f64 1/648 (/.f64 (pow.f64 m 2) (pow.f64 M 2)))))) (.f64 1/324 (.f64 (pow.f64 (/.f64 1 (pow.f64 M 16)) 1/9) (pow.f64 m 2))))) (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (.f64 1 M) 1/3) (+.f64 (.f64 -1/72 (/.f64 (pow.f64 m 2) (pow.f64 M 2))) (.f64 1/648 (/.f64 (pow.f64 m 2) (pow.f64 M 2)))))))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m))) (.f64 -1/9 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m)))))) (.f64 2 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (.f64 1 M) 1/3) (+.f64 (.f64 (pow.f64 (.f64 -1 M) 1/9) (+.f64 (.f64 -1/18 (.f64 (pow.f64 (/.f64 1 (pow.f64 M 7)) 1/9) (.f64 m (+.f64 (.f64 -1/72 (/.f64 (pow.f64 m 2) (pow.f64 M 2))) (.f64 1/648 (/.f64 (pow.f64 m 2) (pow.f64 M 2))))))) (+.f64 (.f64 2 (.f64 (pow.f64 (.f64 1 (pow.f64 M 2)) 1/9) (+.f64 (.f64 -1/34992 (/.f64 (pow.f64 m 3) (pow.f64 M 3))) (+.f64 (.f64 -1/216 (/.f64 (pow.f64 m 3) (pow.f64 M 3))) (.f64 1/1296 (/.f64 (pow.f64 m 3) (pow.f64 M 3))))))) (.f64 -1/18 (.f64 (pow.f64 (/.f64 1 (pow.f64 M 7)) 1/9) (.f64 (+.f64 (.f64 -1/72 (/.f64 (pow.f64 m 2) (pow.f64 M 2))) (.f64 1/648 (/.f64 (pow.f64 m 2) (pow.f64 M 2)))) m)))))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) (.f64 m (+.f64 (.f64 -1/72 (/.f64 (pow.f64 m 2) (pow.f64 M 2))) (.f64 1/648 (/.f64 (pow.f64 m 2) (pow.f64 M 2)))))))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 (/.f64 -1 (pow.f64 M 8)) 1/9) (.f64 m (+.f64 (.f64 2 (.f64 (pow.f64 (.f64 1 (pow.f64 M 2)) 1/9) (+.f64 (.f64 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(cbrt.f64 (pow.f64 (fma.f64 1/2 (*.f64 K m) (neg.f64 M)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/2 (*.f64 K m) (neg.f64 M))))
(exp.f64 (log.f64 (fma.f64 1/2 (*.f64 K m) (neg.f64 M))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M))))) 9))
(exp.f64 (.f64 (log.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/2 (*.f64 K m) (neg.f64 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 (cbrt.f64 (.f64 (pow.f64 (.f64 K m) 2) 1/4)) (cbrt.f64 (.f64 1/2 (.f64 K m))) (neg.f64 M))
(fma.f64 (*.f64 1/2 K) m (neg.f64 M))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 K m) (neg.f64 M))))) 1)
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 K m) (neg.f64 M)))) 2))
(.f64 (cbrt.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M))) 1)
(.f64 1 (cbrt.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M))) 1/6) (.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M))) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 K m) (neg.f64 M)))) 2)))
(.f64 (pow.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M)) 1/6) (pow.f64 (fma.f64 1/2 (*.f64 K m) (neg.f64 M)) 1/6))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M))))) 2) (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M))))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 K m) (neg.f64 M)))) 2)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M)))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 K m) (neg.f64 M)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M)))) 2) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M))) 1/6)) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 K m) (neg.f64 M))) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M))))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 K m) (neg.f64 M))))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M))) 1/6) 3) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 K m) (neg.f64 M))) 1/6) 3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M))))) 2) 3) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 K m) (neg.f64 M)))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M))))
(.f64 (pow.f64 (sqrt.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M))) 1/3) (pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 K m) (neg.f64 M))) 1/3))
(.f64 (.f64 (pow.f64 1 3/2) (pow.f64 1 3/2)) (cbrt.f64 (fma.f64 1/2 (*.f64 K m) (neg.f64 M))))
(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M))))) 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M))))) 2) 3/2)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M))))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 K m) (neg.f64 M))))) 3/2)))
(/.f64 (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 (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 1 (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 1 (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 1 1/3) (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 (pow.f64 1 1/3) (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 (cbrt.f64 (-.f64 (.f64 (pow.f64 (.f64 K m) 2) 1/4) (.f64 M M))) 1) (cbrt.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))) 1) (cbrt.f64 (+.f64 (.f64 (pow.f64 (.f64 K m) 2) 1/4) (.f64 M (fma.f64 1/2 (*.f64 K m) M)))))
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 K m) (neg.f64 M))) 2))
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 K m) (neg.f64 M)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 K m) (neg.f64 M))))))
(cbrt.f64 (fma.f64 1/2 (*.f64 K m) (neg.f64 M)))
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 K m) (neg.f64 M)))))
(exp.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 K m) (neg.f64 M)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M)))) 1))
(exp.f64 (.f64 (log.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M))) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 K m) (neg.f64 M)))))

Outputs
(cos.f64 (*.f64 (pow.f64 -1 1/9) M))
(cos.f64 (.f64 (.f64 (pow.f64 -1 1/18) (pow.f64 -1 1/18)) M))
(+.f64 (cos.f64 (.f64 (pow.f64 -1 1/9) M)) (.f64 -1 (.f64 K (.f64 (sin.f64 (.f64 (pow.f64 -1 1/9) M)) (+.f64 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (+.f64 (.f64 -1/9 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m))) (.f64 -1/18 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m)))) (pow.f64 (pow.f64 M 2) 1/3))) (.f64 2 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (+.f64 (.f64 -1/18 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m))) (.f64 -1/9 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m)))) (pow.f64 (pow.f64 M 2) 1/3)))))))))
(+.f64 (cos.f64 (.f64 (.f64 (pow.f64 -1 1/18) (pow.f64 -1 1/18)) M)) (neg.f64 (.f64 (.f64 K (sin.f64 (.f64 (.f64 (pow.f64 -1 1/18) (pow.f64 -1 1/18)) M))) (fma.f64 1 (.f64 (.f64 (.f64 (.f64 (pow.f64 -1 1/18) (pow.f64 -1 1/18)) (.f64 (cbrt.f64 (/.f64 1 (.f64 M M))) m)) -1/6) (cbrt.f64 (.f64 M M))) (.f64 2 (.f64 (.f64 (.f64 (.f64 (pow.f64 -1 1/18) (pow.f64 -1 1/18)) (.f64 (cbrt.f64 (/.f64 1 (.f64 M M))) m)) -1/6) (cbrt.f64 (*.f64 M M))))))))
(+.f64 (cos.f64 (.f64 (.f64 (pow.f64 -1 1/18) (pow.f64 -1 1/18)) M)) (neg.f64 (.f64 K (.f64 (sin.f64 (.f64 (.f64 (pow.f64 -1 1/18) (pow.f64 -1 1/18)) M)) (fma.f64 1 (.f64 (.f64 (.f64 (.f64 (pow.f64 -1 1/18) (pow.f64 -1 1/18)) (.f64 (cbrt.f64 (/.f64 1 (.f64 M M))) m)) -1/6) (cbrt.f64 (.f64 M M))) (.f64 2 (.f64 (.f64 (.f64 (.f64 (pow.f64 -1 1/18) (pow.f64 -1 1/18)) (.f64 (cbrt.f64 (/.f64 1 (.f64 M M))) m)) -1/6) (cbrt.f64 (*.f64 M M)))))))))
(+.f64 (cos.f64 (.f64 (pow.f64 -1 1/9) M)) (+.f64 (.f64 (pow.f64 K 2) (-.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 (pow.f64 -1 1/9) M)) (pow.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (+.f64 (.f64 -1/9 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m))) (.f64 -1/18 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m)))) (pow.f64 (pow.f64 M 2) 1/3)))) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (+.f64 (.f64 -1/18 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m))) (.f64 -1/9 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m)))) (pow.f64 (pow.f64 M 2) 1/3)))) 2))) (.f64 (sin.f64 (.f64 (pow.f64 -1 1/9) M)) (+.f64 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (.f64 1 M) 1/3) (+.f64 (pow.f64 (+.f64 (.f64 -1/18 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m))) (.f64 -1/9 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m)))) 2) (.f64 2 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (.f64 1 M) 1/3) (+.f64 (.f64 1/162 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 5)) 1/3) (pow.f64 m 2)))) (+.f64 (.f64 (pow.f64 (.f64 -1 M) 1/9) (+.f64 (.f64 2 (.f64 (pow.f64 (.f64 1 (pow.f64 M 2)) 1/9) (+.f64 (.f64 -1/72 (/.f64 (pow.f64 m 2) (pow.f64 M 2))) (.f64 1/648 (/.f64 (pow.f64 m 2) (pow.f64 M 2)))))) (.f64 1/324 (.f64 (pow.f64 (/.f64 1 (pow.f64 M 16)) 1/9) (pow.f64 m 2))))) (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (.f64 1 M) 1/3) (+.f64 (.f64 -1/72 (/.f64 (pow.f64 m 2) (pow.f64 M 2))) (.f64 1/648 (/.f64 (pow.f64 m 2) (pow.f64 M 2)))))))))))))) (+.f64 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (+.f64 (.f64 1/162 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 5)) 1/3) (pow.f64 m 2)))) (+.f64 (.f64 (pow.f64 (.f64 -1 M) 1/9) (+.f64 (.f64 2 (.f64 (pow.f64 (.f64 1 (pow.f64 M 2)) 1/9) (+.f64 (.f64 -1/72 (/.f64 (pow.f64 m 2) (pow.f64 M 2))) (.f64 1/648 (/.f64 (pow.f64 m 2) (pow.f64 M 2)))))) (.f64 1/324 (.f64 (pow.f64 (/.f64 1 (pow.f64 M 16)) 1/9) (pow.f64 m 2))))) (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (.f64 1 M) 1/3) (+.f64 (.f64 -1/72 (/.f64 (pow.f64 m 2) (pow.f64 M 2))) (.f64 1/648 (/.f64 (pow.f64 m 2) (pow.f64 M 2)))))))) (pow.f64 (pow.f64 M 2) 1/3))) (.f64 2 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (.f64 1 M) 1/3) (.f64 (+.f64 (.f64 -1/9 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m))) (.f64 -1/18 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m)))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m))) (.f64 -1/9 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m))))))))))))) (.f64 -1 (.f64 K (.f64 (sin.f64 (.f64 (pow.f64 -1 1/9) M)) (+.f64 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (+.f64 (.f64 -1/9 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m))) (.f64 -1/18 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m)))) (pow.f64 (pow.f64 M 2) 1/3))) (.f64 2 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (+.f64 (.f64 -1/18 (.f64 (pow.f64 -1 1/9) (.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m))) (.f64 -1/9 (.f64 (pow.f64 -1 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 M 2)) 1/3) m)))) (pow.f64 (pow.f64 M 2) 1/3))))))))))
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(cbrt.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 K m) (neg.f64 M)))) 2))
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))) 3)
(.f64 (cbrt.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M))) 1)
(cbrt.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
(.f64 1 (cbrt.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M))))
(cbrt.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M))) 1/6) (.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M))) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 K m) (neg.f64 M)))) 2)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))) 2) (.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) 1/6) (pow.f64 (cbrt.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) 1/6)))
(.f64 (pow.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M)) 1/6) (pow.f64 (fma.f64 1/2 (*.f64 K m) (neg.f64 M)) 1/6))
(exp.f64 (.f64 1/3 (log.f64 (-.f64 (.f64 K (*.f64 m 1/2)) M))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M))))) 2) (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M))))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 K m) (neg.f64 M)))) 2)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)))) 2) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M)))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 K m) (neg.f64 M)))))
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))) 3)
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M)))) 2) (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M))) 1/6)) (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 K m) (neg.f64 M))) 1/6))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))) 2) (.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) 1/6) (pow.f64 (cbrt.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) 1/6)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M))))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 K m) (neg.f64 M))))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))) 2) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M))) 1/6) 3) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 K m) (neg.f64 M))) 1/6) 3))
(pow.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) 1/6) 6)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M))))) 2) 3) (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 K m) (neg.f64 M)))))
(.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 K (*.f64 m 1/2)) M)))) 2) 3))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M))))
(cbrt.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
(.f64 (pow.f64 (sqrt.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M))) 1/3) (pow.f64 (sqrt.f64 (fma.f64 1/2 (*.f64 K m) (neg.f64 M))) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 K (*.f64 m 1/2)) M))))
(.f64 (.f64 (pow.f64 1 3/2) (pow.f64 1 3/2)) (cbrt.f64 (fma.f64 1/2 (*.f64 K m) (neg.f64 M))))
(cbrt.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M))))) 2) 3/2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M))))) 2) 3/2)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M))))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 K m) (neg.f64 M))))) 3/2)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)))) 2) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 K (*.f64 m 1/2)) M)))) 3))
(/.f64 (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 (cbrt.f64 (-.f64 (.f64 1/4 (pow.f64 (.f64 K m) 2)) (.f64 M M))) (cbrt.f64 (fma.f64 1/2 (.f64 K m) M)))
(/.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) 2) 1/4) (.f64 M (fma.f64 1/2 (.f64 K m) M)))))
(/.f64 (cbrt.f64 (fma.f64 (pow.f64 (.f64 K m) 3) 1/8 (pow.f64 (neg.f64 M) 3))) (cbrt.f64 (fma.f64 (pow.f64 (.f64 K m) 2) 1/4 (.f64 M (fma.f64 1/2 (.f64 K m) M)))))
(/.f64 (cbrt.f64 (-.f64 (.f64 1/8 (pow.f64 (.f64 K m) 3)) (pow.f64 M 3))) (cbrt.f64 (fma.f64 (pow.f64 (.f64 K m) 2) 1/4 (.f64 M (fma.f64 1/2 (*.f64 K m) M)))))
(/.f64 (.f64 1 (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 (cbrt.f64 (-.f64 (.f64 1/4 (pow.f64 (.f64 K m) 2)) (.f64 M M))) (cbrt.f64 (fma.f64 1/2 (.f64 K m) M)))
(/.f64 (.f64 1 (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 (cbrt.f64 (fma.f64 (pow.f64 (.f64 K m) 3) 1/8 (pow.f64 (neg.f64 M) 3))) (cbrt.f64 (fma.f64 (pow.f64 (.f64 K m) 2) 1/4 (.f64 M (fma.f64 1/2 (.f64 K m) M)))))
(/.f64 (cbrt.f64 (-.f64 (.f64 1/8 (pow.f64 (.f64 K m) 3)) (pow.f64 M 3))) (cbrt.f64 (fma.f64 (pow.f64 (.f64 K m) 2) 1/4 (.f64 M (fma.f64 1/2 (*.f64 K m) M)))))
(/.f64 (.f64 (pow.f64 1 1/3) (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 (cbrt.f64 (-.f64 (.f64 1/4 (pow.f64 (.f64 K m) 2)) (.f64 M M))) (cbrt.f64 (fma.f64 1/2 (.f64 K m) M)))
(/.f64 (.f64 (pow.f64 1 1/3) (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 (cbrt.f64 (fma.f64 (pow.f64 (.f64 K m) 3) 1/8 (pow.f64 (neg.f64 M) 3))) (cbrt.f64 (fma.f64 (pow.f64 (.f64 K m) 2) 1/4 (.f64 M (fma.f64 1/2 (.f64 K m) M)))))
(/.f64 (cbrt.f64 (-.f64 (.f64 1/8 (pow.f64 (.f64 K m) 3)) (pow.f64 M 3))) (cbrt.f64 (fma.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))) 1) (cbrt.f64 (fma.f64 1/2 (*.f64 K m) M)))
(/.f64 (cbrt.f64 (-.f64 (.f64 1/4 (pow.f64 (.f64 K m) 2)) (.f64 M M))) (cbrt.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))) 1) (cbrt.f64 (+.f64 (.f64 (pow.f64 (.f64 K m) 2) 1/4) (.f64 M (fma.f64 1/2 (*.f64 K m) M)))))
(/.f64 (cbrt.f64 (fma.f64 (pow.f64 (.f64 K m) 3) 1/8 (pow.f64 (neg.f64 M) 3))) (cbrt.f64 (fma.f64 (pow.f64 (.f64 K m) 2) 1/4 (.f64 M (fma.f64 1/2 (.f64 K m) M)))))
(/.f64 (cbrt.f64 (-.f64 (.f64 1/8 (pow.f64 (.f64 K m) 3)) (pow.f64 M 3))) (cbrt.f64 (fma.f64 (pow.f64 (.f64 K m) 2) 1/4 (.f64 M (fma.f64 1/2 (*.f64 K m) M)))))
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 K m) (neg.f64 M))) 2))
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) 2))
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 K m) (neg.f64 M)))))
(cbrt.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 K m) (neg.f64 M))))))
(cbrt.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
(cbrt.f64 (fma.f64 1/2 (*.f64 K m) (neg.f64 M)))
(cbrt.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 K m) (neg.f64 M)))))
(cbrt.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
(exp.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 K m) (neg.f64 M)))))
(cbrt.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M)))) 1))
(cbrt.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
(exp.f64 (.f64 (log.f64 (fma.f64 1/2 (.f64 K m) (neg.f64 M))) 1/3))
(exp.f64 (.f64 1/3 (log.f64 (-.f64 (.f64 K (*.f64 m 1/2)) M))))
(log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 1/2 (*.f64 K m) (neg.f64 M)))))
(cbrt.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))

localize4.0ms (0%)

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

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M)
	0.0b	(*.f64 (+.f64 m n) (/.f64 K 2))
✓	0.0b	(exp.f64 (-.f64 m (+.f64 n (+.f64 l (*.f64 M M)))))
	32.4b	(cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M))

Compiler

Compiled 98 to 32 computations (67.3% saved)

series3.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite94.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

Outputs

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

simplify91.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

92 → 119

Calls

Call 1

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

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

localize72.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (*.f64 M M)))
	0.7b	(pow.f64 (cbrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 3)
	4.8b	(cbrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))
	36.6b	(cos.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 3))

Compiler

Compiled 116 to 44 computations (62.1% saved)

localize45.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 n)
	0.6b	(cbrt.f64 (+.f64 m n))
✓	1.8b	(/.f64 (cbrt.f64 (+.f64 m n)) (/.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 n) 2)))
✓	26.1b	(cos.f64 (-.f64 (/.f64 (cbrt.f64 (+.f64 m n)) (/.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 n) 2))) M))

Compiler

Compiled 144 to 54 computations (62.5% saved)

series19.0ms (0.1%)

Counts

3 → 63

Calls

24 calls:

Time	Variable		Point	Expression
7.0ms	K	@	0	(/.f64 (cbrt.f64 (+.f64 m n)) (/.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 n) 2)))
3.0ms	m	@	0	(cos.f64 (-.f64 (/.f64 (cbrt.f64 (+.f64 m n)) (/.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 n) 2))) M))
1.0ms	n	@	-inf	(/.f64 (cbrt.f64 (+.f64 m n)) (/.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 n) 2)))
1.0ms	m	@	inf	(cos.f64 (-.f64 (/.f64 (cbrt.f64 (+.f64 m n)) (/.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 n) 2))) M))
1.0ms	K	@	0	(cos.f64 (-.f64 (/.f64 (cbrt.f64 (+.f64 m n)) (/.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 n) 2))) M))

rewrite98.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1580×	`associate-/r/`
1024×	`associate-/l/`
404×	`add-sqr-sqrt`
394×	`*-un-lft-identity`
392×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	93
1	382	93
2	5497	93

Stop Event

1×	node limit

Counts

3 → 156

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 n 1/6) (pow.f64 n 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 n)) 2) (cbrt.f64 (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 n)) (pow.f64 (cbrt.f64 (cbrt.f64 n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 n (cbrt.f64 n)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 n)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 n) 1/3) (pow.f64 (sqrt.f64 n) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 n 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 n) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 n 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 n)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 n) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 n)))))))

simplify158.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1344×	`associate-l`
972×	`*-commutative`
776×	`distribute-lft-neg-in`
548×	`+-commutative`
470×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	581	11611
1	1786	11425
2	6477	11383

Stop Event

1×	node limit

Counts

219 → 288

Calls

Call 1

Inputs
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 (pow.f64 n 4) 1) 1/3) (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) m)))) (cos.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M)))
(+.f64 (.f64 (pow.f64 m 2) (-.f64 (.f64 -1/72 (.f64 (pow.f64 (.f64 (pow.f64 n 8) 1) 1/3) (.f64 (pow.f64 K 2) (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))))) (.f64 -1/6 (/.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K (+.f64 (.f64 2/9 (pow.f64 (.f64 (pow.f64 n 11) 1) 1/3)) (.f64 1/9 (pow.f64 (.f64 (pow.f64 n 11) 1) 1/3))))) (pow.f64 n 2))))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 (pow.f64 n 4) 1) 1/3) (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) m)))) (cos.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M))))
(+.f64 (.f64 (pow.f64 m 2) (-.f64 (.f64 -1/72 (.f64 (pow.f64 (.f64 (pow.f64 n 8) 1) 1/3) (.f64 (pow.f64 K 2) (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))))) (.f64 -1/6 (/.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K (+.f64 (.f64 2/9 (pow.f64 (.f64 (pow.f64 n 11) 1) 1/3)) (.f64 1/9 (pow.f64 (.f64 (pow.f64 n 11) 1) 1/3))))) (pow.f64 n 2))))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 (pow.f64 n 4) 1) 1/3) (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) m)))) (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 (-.f64 (.f64 1/36 (.f64 (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/3) (.f64 (pow.f64 K 2) (.f64 (+.f64 (.f64 2/9 (pow.f64 (.f64 (pow.f64 n 11) 1) 1/3)) (.f64 1/9 (pow.f64 (.f64 (pow.f64 n 11) 1) 1/3))) (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)))))) (.f64 (+.f64 (.f64 -1/1296 (.f64 (pow.f64 n 4) (pow.f64 K 3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 (.f64 -4/9 (.f64 (pow.f64 (.f64 n 1) 1/3) (+.f64 (.f64 2/9 (pow.f64 (.f64 (pow.f64 n 11) 1) 1/3)) (.f64 1/9 (pow.f64 (.f64 (pow.f64 n 11) 1) 1/3))))) (+.f64 (.f64 1/27 (pow.f64 n 4)) (.f64 -2/9 (.f64 (pow.f64 (.f64 n 1) 1/3) (+.f64 (.f64 2/9 (pow.f64 (.f64 (pow.f64 n 11) 1) 1/3)) (.f64 1/9 (pow.f64 (.f64 (pow.f64 n 11) 1) 1/3))))))) K) (pow.f64 n 2)))) (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)))) (pow.f64 m 3)))))
(cos.f64 (neg.f64 M))
(cos.f64 (neg.f64 M))
(cos.f64 (neg.f64 M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 (pow.f64 (.f64 (pow.f64 n 2) (.f64 1 (+.f64 n m))) 1/3) K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 (pow.f64 (.f64 (pow.f64 n 2) (.f64 1 (+.f64 n m))) 1/3) K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 (pow.f64 (.f64 (pow.f64 n 2) (.f64 1 (+.f64 n m))) 1/3) K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 (pow.f64 (.f64 (pow.f64 n 2) (.f64 1 (+.f64 n m))) 1/3) K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 (pow.f64 (.f64 (pow.f64 n 2) (.f64 1 (-.f64 m (.f64 -1 n)))) 1/3) (.f64 K (pow.f64 (cbrt.f64 -1) 2)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 (pow.f64 (.f64 (pow.f64 n 2) (.f64 1 (-.f64 m (.f64 -1 n)))) 1/3) (.f64 K (pow.f64 (cbrt.f64 -1) 2)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 (pow.f64 (.f64 (pow.f64 n 2) (.f64 1 (-.f64 m (.f64 -1 n)))) 1/3) (.f64 K (pow.f64 (cbrt.f64 -1) 2)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 (pow.f64 (.f64 (pow.f64 n 2) (.f64 1 (-.f64 m (.f64 -1 n)))) 1/3) (.f64 K (pow.f64 (cbrt.f64 -1) 2)))) M))
(cos.f64 (neg.f64 M))
(+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 (pow.f64 (.f64 (pow.f64 n 2) (.f64 1 (+.f64 n m))) 1/3) (*.f64 K (sin.f64 (neg.f64 M))))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 (pow.f64 n 2) (.f64 1 (+.f64 n m))) 1/3) (.f64 K (sin.f64 (neg.f64 M))))) (.f64 -1/8 (.f64 (.f64 (cos.f64 (neg.f64 M)) (pow.f64 K 2)) (pow.f64 (.f64 (pow.f64 n 4) (.f64 1 (pow.f64 (+.f64 n m) 2))) 1/3)))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 (pow.f64 n 2) (.f64 1 (+.f64 n m))) 1/3) (.f64 K (sin.f64 (neg.f64 M))))) (+.f64 (.f64 1/48 (.f64 (pow.f64 n 2) (.f64 (pow.f64 K 3) (.f64 (sin.f64 (neg.f64 M)) (+.f64 n m))))) (.f64 -1/8 (.f64 (.f64 (cos.f64 (neg.f64 M)) (pow.f64 K 2)) (pow.f64 (.f64 (pow.f64 n 4) (.f64 1 (pow.f64 (+.f64 n m) 2))) 1/3))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 (pow.f64 (.f64 (pow.f64 n 2) (.f64 1 (+.f64 n m))) 1/3) K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 (pow.f64 (.f64 (pow.f64 n 2) (.f64 1 (+.f64 n m))) 1/3) K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 (pow.f64 (.f64 (pow.f64 n 2) (.f64 1 (+.f64 n m))) 1/3) K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 (pow.f64 (.f64 (pow.f64 n 2) (.f64 1 (+.f64 n m))) 1/3) K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 (pow.f64 (.f64 (pow.f64 n 2) (.f64 1 (+.f64 n m))) 1/3) K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 (pow.f64 (.f64 (pow.f64 n 2) (.f64 1 (+.f64 n m))) 1/3) K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 (pow.f64 (.f64 (pow.f64 n 2) (.f64 1 (+.f64 n m))) 1/3) K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 (pow.f64 (.f64 (pow.f64 n 2) (.f64 1 (+.f64 n m))) 1/3) K)) M))
(cos.f64 (.f64 1/2 (.f64 (pow.f64 (.f64 (pow.f64 n 2) (.f64 1 (+.f64 n m))) 1/3) K)))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 (pow.f64 (.f64 (pow.f64 n 2) (.f64 1 (+.f64 n m))) 1/3) K))) M) (cos.f64 (.f64 1/2 (.f64 (pow.f64 (.f64 (pow.f64 n 2) (*.f64 1 (+.f64 n m))) 1/3) K))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 (pow.f64 (.f64 (pow.f64 n 2) (.f64 1 (+.f64 n m))) 1/3) K))) M) (+.f64 (.f64 -1/2 (.f64 (pow.f64 M 2) (cos.f64 (.f64 1/2 (.f64 (pow.f64 (.f64 (pow.f64 n 2) (.f64 1 (+.f64 n m))) 1/3) K))))) (cos.f64 (.f64 1/2 (.f64 (pow.f64 (.f64 (pow.f64 n 2) (*.f64 1 (+.f64 n m))) 1/3) K)))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 (pow.f64 (.f64 (pow.f64 n 2) (.f64 1 (+.f64 n m))) 1/3) K))) M) (+.f64 (.f64 -1/6 (.f64 (sin.f64 (.f64 1/2 (.f64 (pow.f64 (.f64 (pow.f64 n 2) (.f64 1 (+.f64 n m))) 1/3) K))) (pow.f64 M 3))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 M 2) (cos.f64 (.f64 1/2 (.f64 (pow.f64 (.f64 (pow.f64 n 2) (.f64 1 (+.f64 n m))) 1/3) K))))) (cos.f64 (.f64 1/2 (.f64 (pow.f64 (.f64 (pow.f64 n 2) (*.f64 1 (+.f64 n m))) 1/3) K))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 (pow.f64 (.f64 (pow.f64 n 2) (.f64 1 (+.f64 n m))) 1/3) K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 (pow.f64 (.f64 (pow.f64 n 2) (.f64 1 (+.f64 n m))) 1/3) K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 (pow.f64 (.f64 (pow.f64 n 2) (.f64 1 (+.f64 n m))) 1/3) K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 (pow.f64 (.f64 (pow.f64 n 2) (.f64 1 (+.f64 n m))) 1/3) K)) M))
(cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (.f64 (pow.f64 (.f64 (pow.f64 n 2) (*.f64 1 (+.f64 n m))) 1/3) K))))
(cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (.f64 (pow.f64 (.f64 (pow.f64 n 2) (*.f64 1 (+.f64 n m))) 1/3) K))))
(cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (.f64 (pow.f64 (.f64 (pow.f64 n 2) (*.f64 1 (+.f64 n m))) 1/3) K))))
(cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (.f64 (pow.f64 (.f64 (pow.f64 n 2) (*.f64 1 (+.f64 n m))) 1/3) K))))
(.f64 1/2 (.f64 n K))
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(.f64 (/.f64 (/.f64 (cbrt.f64 (+.f64 m n)) 1) 1) (/.f64 (.f64 K (pow.f64 (cbrt.f64 n) 2)) 2))
(.f64 (/.f64 (/.f64 (cbrt.f64 (+.f64 m n)) 1) -2) (.f64 (pow.f64 (cbrt.f64 n) 2) (neg.f64 K)))
(.f64 (/.f64 (/.f64 (cbrt.f64 (+.f64 m n)) 1) -2) (.f64 (neg.f64 K) (pow.f64 (cbrt.f64 n) 2)))
(.f64 (/.f64 (/.f64 (cbrt.f64 (+.f64 m n)) 1) -2) (neg.f64 (.f64 K (pow.f64 (cbrt.f64 n) 2))))
(.f64 (/.f64 (/.f64 (cbrt.f64 (+.f64 m n)) 1) -1) (neg.f64 (.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 K 1/2))))
(.f64 (/.f64 (cbrt.f64 (+.f64 m n)) (.f64 2 (pow.f64 (cbrt.f64 n) -2))) K)
(.f64 (/.f64 (cbrt.f64 (+.f64 m n)) (.f64 -2 (pow.f64 (cbrt.f64 n) -2))) (neg.f64 K))
(*.f64 (/.f64 (cbrt.f64 (+.f64 m n)) (/.f64 2 (pow.f64 (cbrt.f64 n) 2))) K)
(.f64 (/.f64 (cbrt.f64 (+.f64 m n)) (/.f64 2 (.f64 (cbrt.f64 n) K))) (cbrt.f64 n))
(.f64 (/.f64 (cbrt.f64 (+.f64 m n)) (/.f64 (/.f64 2 K) (cbrt.f64 (.f64 n (cbrt.f64 n))))) (pow.f64 (cbrt.f64 (cbrt.f64 n)) 2))
(*.f64 (/.f64 (cbrt.f64 (+.f64 m n)) (neg.f64 (/.f64 -2 K))) (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 n) 2))))
(.f64 (/.f64 1 (/.f64 2 (.f64 (pow.f64 (+.f64 m n) 1/6) (*.f64 K (pow.f64 (cbrt.f64 n) 2))))) (pow.f64 (+.f64 m n) 1/6))
(.f64 (/.f64 1 (/.f64 (/.f64 2 K) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 m n))) 2) (pow.f64 (cbrt.f64 n) 2)))) (cbrt.f64 (cbrt.f64 (+.f64 m n))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 m n))) 2) (.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 n) -2))) (cbrt.f64 (cbrt.f64 (+.f64 m n))))
(.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 m n)) (*.f64 K 1/2)) 1) (pow.f64 (cbrt.f64 n) 2))
(.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 m n)) (*.f64 K 1/2)) 1) (/.f64 (pow.f64 (cbrt.f64 n) 2) 1))
(.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 m n)) (*.f64 K 1/2)) (/.f64 1 (cbrt.f64 n))) (cbrt.f64 n))
(.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 m n)) (.f64 K 1/2)) (/.f64 1 (cbrt.f64 (.f64 n (cbrt.f64 n))))) (pow.f64 (cbrt.f64 (cbrt.f64 n)) 2))
(.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 m n)) (*.f64 K 1/2)) -1) (neg.f64 (pow.f64 (cbrt.f64 n) 2)))
(*.f64 (/.f64 (neg.f64 (cbrt.f64 (+.f64 m n))) (neg.f64 (/.f64 -2 K))) (neg.f64 (pow.f64 (cbrt.f64 n) 2)))
(.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 m n)) (pow.f64 (cbrt.f64 n) 2)) 2) K)
(.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 m n)) (pow.f64 (cbrt.f64 n) 2)) 2) (neg.f64 (neg.f64 K)))
(.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 m n)) (pow.f64 (cbrt.f64 n) 2)) 1) (*.f64 K 1/2))
(.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 m n)) (pow.f64 (cbrt.f64 n) 2)) -2) (neg.f64 K))
(.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 m n)) (pow.f64 (cbrt.f64 n) 2)) (/.f64 2 (sqrt.f64 K))) (sqrt.f64 K))
(.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 m n)) (pow.f64 (cbrt.f64 n) 2)) (/.f64 2 (pow.f64 (cbrt.f64 K) 2))) (cbrt.f64 K))
(.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 m n)) (pow.f64 (cbrt.f64 n) 2)) -1) (neg.f64 (*.f64 K 1/2)))
(*.f64 (/.f64 (/.f64 (cbrt.f64 (+.f64 m n)) 1) (sqrt.f64 (/.f64 2 K))) (/.f64 (pow.f64 (cbrt.f64 n) 2) (sqrt.f64 (/.f64 2 K))))
(*.f64 (/.f64 (/.f64 (cbrt.f64 (+.f64 m n)) 1) (pow.f64 (cbrt.f64 (/.f64 2 K)) 2)) (/.f64 (pow.f64 (cbrt.f64 n) 2) (cbrt.f64 (/.f64 2 K))))
(.f64 (/.f64 (/.f64 (cbrt.f64 (+.f64 m n)) 1) (pow.f64 (cbrt.f64 n) -2)) (.f64 K 1/2))
(*.f64 (/.f64 (/.f64 (cbrt.f64 (+.f64 m n)) 1) (/.f64 -2 K)) (neg.f64 (pow.f64 (cbrt.f64 n) 2)))
(.f64 (/.f64 (/.f64 (cbrt.f64 (+.f64 m n)) 1) (.f64 2 (pow.f64 (cbrt.f64 n) -2))) K)
(.f64 (/.f64 (/.f64 (cbrt.f64 (+.f64 m n)) 1) (.f64 -2 (pow.f64 (cbrt.f64 n) -2))) (neg.f64 K))
(*.f64 (/.f64 (/.f64 (cbrt.f64 (+.f64 m n)) 1) (/.f64 2 (pow.f64 (cbrt.f64 n) 2))) K)
(.f64 (/.f64 (/.f64 (cbrt.f64 (+.f64 m n)) 1) (/.f64 2 (.f64 (cbrt.f64 n) K))) (cbrt.f64 n))
(.f64 (/.f64 (/.f64 (cbrt.f64 (+.f64 m n)) 1) (/.f64 (/.f64 2 K) (cbrt.f64 (.f64 n (cbrt.f64 n))))) (pow.f64 (cbrt.f64 (cbrt.f64 n)) 2))
(*.f64 (/.f64 (/.f64 (cbrt.f64 (+.f64 m n)) 1) (neg.f64 (/.f64 -2 K))) (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 n) 2))))
(.f64 (/.f64 (.f64 (/.f64 (cbrt.f64 (+.f64 m n)) (sqrt.f64 (/.f64 2 K))) (cbrt.f64 n)) 1) (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 n) 2) (.f64 K 1/2))))
(.f64 (/.f64 (.f64 (/.f64 (cbrt.f64 (+.f64 m n)) (sqrt.f64 (/.f64 2 K))) (cbrt.f64 n)) (sqrt.f64 2)) (sqrt.f64 (*.f64 K (pow.f64 (cbrt.f64 n) 2))))
(.f64 (/.f64 (.f64 (/.f64 (cbrt.f64 (+.f64 m n)) (sqrt.f64 (/.f64 2 K))) (cbrt.f64 n)) (sqrt.f64 (/.f64 2 K))) (cbrt.f64 n))
(.f64 (/.f64 (.f64 (/.f64 (cbrt.f64 (+.f64 m n)) (sqrt.f64 (/.f64 2 K))) (cbrt.f64 n)) (sqrt.f64 (/.f64 -2 K))) (sqrt.f64 (neg.f64 (pow.f64 (cbrt.f64 n) 2))))
(.f64 (/.f64 (/.f64 (cbrt.f64 (+.f64 m n)) (pow.f64 (cbrt.f64 (.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 n) -2))) 2)) 1) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 n) 2) (.f64 K 1/2))))
(.f64 (/.f64 (/.f64 (cbrt.f64 (+.f64 m n)) (pow.f64 (cbrt.f64 (.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 n) -2))) 2)) (cbrt.f64 2)) (cbrt.f64 (*.f64 K (pow.f64 (cbrt.f64 n) 2))))
(.f64 (/.f64 (/.f64 (cbrt.f64 (+.f64 m n)) (pow.f64 (cbrt.f64 (.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 n) -2))) 2)) (cbrt.f64 (/.f64 2 K))) (pow.f64 (cbrt.f64 (cbrt.f64 n)) 2))
(.f64 (/.f64 (/.f64 (cbrt.f64 (+.f64 m n)) (pow.f64 (cbrt.f64 (.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 n) -2))) 2)) (cbrt.f64 (/.f64 -2 K))) (cbrt.f64 (neg.f64 (pow.f64 (cbrt.f64 n) 2))))
(pow.f64 (.f64 (cbrt.f64 (+.f64 m n)) (.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 K 1/2))) 1)
(pow.f64 (.f64 (sqrt.f64 (.f64 (cbrt.f64 (+.f64 m n)) (*.f64 K 1/2))) (cbrt.f64 n)) 2)
(pow.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 m n)) (.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 K 1/2)))) 3)
(pow.f64 (/.f64 (*.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 n) -2)) (cbrt.f64 (+.f64 m n))) -1)
(pow.f64 (.f64 (+.f64 m n) (pow.f64 (.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 K 1/2)) 3)) 1/3)
(neg.f64 (/.f64 (cbrt.f64 (+.f64 m n)) (*.f64 (pow.f64 (cbrt.f64 n) -2) (/.f64 -2 K))))
(sqrt.f64 (pow.f64 (.f64 (cbrt.f64 (+.f64 m n)) (.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 K 1/2))) 2))
(log.f64 (exp.f64 (.f64 (cbrt.f64 (+.f64 m n)) (.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 K 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cbrt.f64 (+.f64 m n)) (.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 K 1/2))))))
(cbrt.f64 (.f64 (+.f64 m n) (pow.f64 (.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 K 1/2)) 3)))
(expm1.f64 (log1p.f64 (.f64 (cbrt.f64 (+.f64 m n)) (.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 K 1/2)))))
(exp.f64 (log.f64 (.f64 (cbrt.f64 (+.f64 m n)) (.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 K 1/2)))))
(exp.f64 (.f64 (log.f64 (.f64 (cbrt.f64 (+.f64 m n)) (.f64 (pow.f64 (cbrt.f64 n) 2) (.f64 K 1/2)))) 1))
(log1p.f64 (expm1.f64 (.f64 (cbrt.f64 (+.f64 m n)) (.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 K 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 n))) 1)
(*.f64 (cbrt.f64 n) 1)
(*.f64 1 (cbrt.f64 n))
(*.f64 (pow.f64 n 1/6) (pow.f64 n 1/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 n)) 2) (cbrt.f64 (cbrt.f64 n)))
(*.f64 (cbrt.f64 (cbrt.f64 n)) (pow.f64 (cbrt.f64 (cbrt.f64 n)) 2))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 n (cbrt.f64 n)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 n)) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 n))
(*.f64 (pow.f64 (sqrt.f64 n) 1/3) (pow.f64 (sqrt.f64 n) 1/3))
(pow.f64 n 1/3)
(pow.f64 (cbrt.f64 n) 1)
(pow.f64 (pow.f64 (cbrt.f64 n) 2) 1/2)
(pow.f64 (pow.f64 n 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 n)) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 n) 2))
(fabs.f64 (cbrt.f64 n))
(log.f64 (exp.f64 (cbrt.f64 n)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 n))))
(expm1.f64 (log1p.f64 (cbrt.f64 n)))
(exp.f64 (log.f64 (cbrt.f64 n)))
(exp.f64 (*.f64 (log.f64 n) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 n)) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 n)))

Outputs
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 (pow.f64 n 4) 1) 1/3) (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) m)))) (cos.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M)))
(fma.f64 -1/6 (.f64 (cbrt.f64 (pow.f64 n 4)) (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) m))) (cos.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M)))
(fma.f64 -1/6 (.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) m) (.f64 K (cbrt.f64 (pow.f64 n 4)))) (cos.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M)))
(+.f64 (.f64 (pow.f64 m 2) (-.f64 (.f64 -1/72 (.f64 (pow.f64 (.f64 (pow.f64 n 8) 1) 1/3) (.f64 (pow.f64 K 2) (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))))) (.f64 -1/6 (/.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K (+.f64 (.f64 2/9 (pow.f64 (.f64 (pow.f64 n 11) 1) 1/3)) (.f64 1/9 (pow.f64 (.f64 (pow.f64 n 11) 1) 1/3))))) (pow.f64 n 2))))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 (pow.f64 n 4) 1) 1/3) (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) m)))) (cos.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M))))
(fma.f64 (.f64 m m) (+.f64 (.f64 -1/72 (.f64 (cbrt.f64 (pow.f64 n 8)) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K K)))) (.f64 1/6 (/.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (/.f64 (.f64 n n) (.f64 K (.f64 (cbrt.f64 (pow.f64 n 11)) 1/3)))))) (fma.f64 -1/6 (.f64 (cbrt.f64 (pow.f64 n 4)) (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) m))) (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))))
(fma.f64 (.f64 m m) (fma.f64 -1/72 (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 (cbrt.f64 (pow.f64 n 8)) (.f64 K K))) (/.f64 (.f64 1/6 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))) (/.f64 (.f64 n n) (.f64 (cbrt.f64 (pow.f64 n 11)) (.f64 1/3 K))))) (fma.f64 -1/6 (.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) m) (.f64 K (cbrt.f64 (pow.f64 n 4)))) (cos.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M))))
(+.f64 (.f64 (pow.f64 m 2) (-.f64 (.f64 -1/72 (.f64 (pow.f64 (.f64 (pow.f64 n 8) 1) 1/3) (.f64 (pow.f64 K 2) (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))))) (.f64 -1/6 (/.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K (+.f64 (.f64 2/9 (pow.f64 (.f64 (pow.f64 n 11) 1) 1/3)) (.f64 1/9 (pow.f64 (.f64 (pow.f64 n 11) 1) 1/3))))) (pow.f64 n 2))))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 (pow.f64 n 4) 1) 1/3) (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) m)))) (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 (-.f64 (.f64 1/36 (.f64 (pow.f64 (/.f64 1 (pow.f64 n 2)) 1/3) (.f64 (pow.f64 K 2) (.f64 (+.f64 (.f64 2/9 (pow.f64 (.f64 (pow.f64 n 11) 1) 1/3)) (.f64 1/9 (pow.f64 (.f64 (pow.f64 n 11) 1) 1/3))) (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)))))) (.f64 (+.f64 (.f64 -1/1296 (.f64 (pow.f64 n 4) (pow.f64 K 3))) (.f64 -1/6 (/.f64 (.f64 (+.f64 (.f64 -4/9 (.f64 (pow.f64 (.f64 n 1) 1/3) (+.f64 (.f64 2/9 (pow.f64 (.f64 (pow.f64 n 11) 1) 1/3)) (.f64 1/9 (pow.f64 (.f64 (pow.f64 n 11) 1) 1/3))))) (+.f64 (.f64 1/27 (pow.f64 n 4)) (.f64 -2/9 (.f64 (pow.f64 (.f64 n 1) 1/3) (+.f64 (.f64 2/9 (pow.f64 (.f64 (pow.f64 n 11) 1) 1/3)) (.f64 1/9 (pow.f64 (.f64 (pow.f64 n 11) 1) 1/3))))))) K) (pow.f64 n 2)))) (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)))) (pow.f64 m 3)))))
(fma.f64 (.f64 m m) (+.f64 (.f64 -1/72 (.f64 (cbrt.f64 (pow.f64 n 8)) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K K)))) (.f64 1/6 (/.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (/.f64 (.f64 n n) (.f64 K (.f64 (cbrt.f64 (pow.f64 n 11)) 1/3)))))) (+.f64 (fma.f64 -1/6 (.f64 (cbrt.f64 (pow.f64 n 4)) (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) m))) (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))) (.f64 (-.f64 (.f64 1/36 (.f64 (cbrt.f64 (/.f64 1 (.f64 n n))) (.f64 (.f64 K K) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 (cbrt.f64 (pow.f64 n 11)) 1/3))))) (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (fma.f64 -1/1296 (.f64 (pow.f64 n 4) (pow.f64 K 3)) (.f64 -1/6 (/.f64 (fma.f64 -4/9 (.f64 (.f64 (cbrt.f64 (pow.f64 n 11)) 1/3) (cbrt.f64 n)) (fma.f64 1/27 (pow.f64 n 4) (.f64 (.f64 -2/9 (cbrt.f64 n)) (.f64 (cbrt.f64 (pow.f64 n 11)) 1/3)))) (/.f64 (*.f64 n n) K)))))) (pow.f64 m 3))))
(fma.f64 (.f64 m m) (fma.f64 -1/72 (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 (cbrt.f64 (pow.f64 n 8)) (.f64 K K))) (/.f64 (.f64 1/6 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))) (/.f64 (.f64 n n) (.f64 (cbrt.f64 (pow.f64 n 11)) (.f64 1/3 K))))) (fma.f64 -1/6 (.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) m) (.f64 K (cbrt.f64 (pow.f64 n 4)))) (fma.f64 (fma.f64 1/36 (.f64 (cbrt.f64 (/.f64 1 (.f64 n n))) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K (.f64 (cbrt.f64 (pow.f64 n 11)) (.f64 1/3 K))))) (.f64 (fma.f64 -1/6 (/.f64 K (/.f64 (.f64 n n) (fma.f64 (.f64 (cbrt.f64 (pow.f64 n 11)) (.f64 1/3 (cbrt.f64 n))) -2/3 (.f64 (pow.f64 n 4) 1/27)))) (.f64 (pow.f64 n 4) (.f64 (pow.f64 K 3) -1/1296))) (neg.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))))) (pow.f64 m 3) (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)))))
(cos.f64 (neg.f64 M))
(cos.f64 M)
(cos.f64 (neg.f64 M))
(cos.f64 M)
(cos.f64 (neg.f64 M))
(cos.f64 M)
(cos.f64 (-.f64 (.f64 1/2 (.f64 (pow.f64 (.f64 (pow.f64 n 2) (.f64 1 (+.f64 n m))) 1/3) K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (cbrt.f64 (.f64 (.f64 n n) (+.f64 n m))))) M))
(cos.f64 (-.f64 (.f64 (cbrt.f64 (.f64 (.f64 n n) (+.f64 n m))) (.f64 1/2 K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 (pow.f64 (.f64 (pow.f64 n 2) (.f64 1 (+.f64 n m))) 1/3) K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (cbrt.f64 (.f64 (.f64 n n) (+.f64 n m))))) M))
(cos.f64 (-.f64 (.f64 (cbrt.f64 (.f64 (.f64 n n) (+.f64 n m))) (.f64 1/2 K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 (pow.f64 (.f64 (pow.f64 n 2) (.f64 1 (+.f64 n m))) 1/3) K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (cbrt.f64 (.f64 (.f64 n n) (+.f64 n m))))) M))
(cos.f64 (-.f64 (.f64 (cbrt.f64 (.f64 (.f64 n n) (+.f64 n m))) (.f64 1/2 K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 (pow.f64 (.f64 (pow.f64 n 2) (.f64 1 (+.f64 n m))) 1/3) K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (cbrt.f64 (.f64 (.f64 n n) (+.f64 n m))))) M))
(cos.f64 (-.f64 (.f64 (cbrt.f64 (.f64 (.f64 n n) (+.f64 n m))) (.f64 1/2 K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 (pow.f64 (.f64 (pow.f64 n 2) (.f64 1 (-.f64 m (.f64 -1 n)))) 1/3) (.f64 K (pow.f64 (cbrt.f64 -1) 2)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 (cbrt.f64 (.f64 (.f64 n n) (+.f64 n m))) (*.f64 K (pow.f64 (cbrt.f64 -1) 2)))) M))
(cos.f64 (fma.f64 1/2 (.f64 K (.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (.f64 (.f64 n n) (+.f64 n m))))) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 (pow.f64 (.f64 (pow.f64 n 2) (.f64 1 (-.f64 m (.f64 -1 n)))) 1/3) (.f64 K (pow.f64 (cbrt.f64 -1) 2)))) M))
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(.f64 1/2 (.f64 K (*.f64 (cbrt.f64 (+.f64 n m)) (pow.f64 (cbrt.f64 n) 2))))
(.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 m n)) (pow.f64 (cbrt.f64 n) 2)) 2) (neg.f64 (neg.f64 K)))
(.f64 (cbrt.f64 (+.f64 n m)) (.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 1/2 K)))
(.f64 1/2 (.f64 K (*.f64 (cbrt.f64 (+.f64 n m)) (pow.f64 (cbrt.f64 n) 2))))
(.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 m n)) (pow.f64 (cbrt.f64 n) 2)) 1) (*.f64 K 1/2))
(.f64 (cbrt.f64 (+.f64 n m)) (.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 1/2 K)))
(.f64 1/2 (.f64 K (*.f64 (cbrt.f64 (+.f64 n m)) (pow.f64 (cbrt.f64 n) 2))))
(.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 m n)) (pow.f64 (cbrt.f64 n) 2)) -2) (neg.f64 K))
(.f64 (cbrt.f64 (+.f64 n m)) (.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 1/2 K)))
(.f64 1/2 (.f64 K (*.f64 (cbrt.f64 (+.f64 n m)) (pow.f64 (cbrt.f64 n) 2))))
(.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 m n)) (pow.f64 (cbrt.f64 n) 2)) (/.f64 2 (sqrt.f64 K))) (sqrt.f64 K))
(.f64 (sqrt.f64 K) (.f64 (*.f64 (/.f64 (cbrt.f64 (+.f64 n m)) 2) (pow.f64 (cbrt.f64 n) 2)) (sqrt.f64 K)))
(.f64 (.f64 (pow.f64 (cbrt.f64 n) 2) (/.f64 (cbrt.f64 (+.f64 n m)) 2)) (*.f64 (sqrt.f64 K) (sqrt.f64 K)))
(.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 m n)) (pow.f64 (cbrt.f64 n) 2)) (/.f64 2 (pow.f64 (cbrt.f64 K) 2))) (cbrt.f64 K))
(*.f64 (cbrt.f64 K) (/.f64 (cbrt.f64 (+.f64 n m)) (/.f64 (/.f64 2 (pow.f64 (cbrt.f64 K) 2)) (pow.f64 (cbrt.f64 n) 2))))
(.f64 (.f64 (pow.f64 (cbrt.f64 n) 2) (/.f64 (cbrt.f64 (+.f64 n m)) 2)) (*.f64 (pow.f64 (cbrt.f64 K) 2) (cbrt.f64 K)))
(.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 m n)) (pow.f64 (cbrt.f64 n) 2)) -1) (neg.f64 (*.f64 K 1/2)))
(.f64 (cbrt.f64 (+.f64 n m)) (.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 1/2 K)))
(.f64 1/2 (.f64 K (*.f64 (cbrt.f64 (+.f64 n m)) (pow.f64 (cbrt.f64 n) 2))))
(*.f64 (/.f64 (/.f64 (cbrt.f64 (+.f64 m n)) 1) (sqrt.f64 (/.f64 2 K))) (/.f64 (pow.f64 (cbrt.f64 n) 2) (sqrt.f64 (/.f64 2 K))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 n m)) (sqrt.f64 (/.f64 2 K))) (/.f64 (pow.f64 (cbrt.f64 n) 2) (sqrt.f64 (/.f64 2 K))))
(*.f64 (/.f64 (/.f64 (cbrt.f64 (+.f64 m n)) 1) (pow.f64 (cbrt.f64 (/.f64 2 K)) 2)) (/.f64 (pow.f64 (cbrt.f64 n) 2) (cbrt.f64 (/.f64 2 K))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 n m)) (pow.f64 (cbrt.f64 (/.f64 2 K)) 2)) (/.f64 (pow.f64 (cbrt.f64 n) 2) (cbrt.f64 (/.f64 2 K))))
(.f64 (/.f64 (/.f64 (cbrt.f64 (+.f64 m n)) 1) (pow.f64 (cbrt.f64 n) -2)) (.f64 K 1/2))
(.f64 (cbrt.f64 (+.f64 n m)) (.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 1/2 K)))
(.f64 1/2 (.f64 K (*.f64 (cbrt.f64 (+.f64 n m)) (pow.f64 (cbrt.f64 n) 2))))
(*.f64 (/.f64 (/.f64 (cbrt.f64 (+.f64 m n)) 1) (/.f64 -2 K)) (neg.f64 (pow.f64 (cbrt.f64 n) 2)))
(.f64 (cbrt.f64 (+.f64 n m)) (.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 1/2 K)))
(.f64 1/2 (.f64 K (*.f64 (cbrt.f64 (+.f64 n m)) (pow.f64 (cbrt.f64 n) 2))))
(.f64 (/.f64 (/.f64 (cbrt.f64 (+.f64 m n)) 1) (.f64 2 (pow.f64 (cbrt.f64 n) -2))) K)
(.f64 (cbrt.f64 (+.f64 n m)) (.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 1/2 K)))
(.f64 1/2 (.f64 K (*.f64 (cbrt.f64 (+.f64 n m)) (pow.f64 (cbrt.f64 n) 2))))
(.f64 (/.f64 (/.f64 (cbrt.f64 (+.f64 m n)) 1) (.f64 -2 (pow.f64 (cbrt.f64 n) -2))) (neg.f64 K))
(.f64 (cbrt.f64 (+.f64 n m)) (.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 1/2 K)))
(.f64 1/2 (.f64 K (*.f64 (cbrt.f64 (+.f64 n m)) (pow.f64 (cbrt.f64 n) 2))))
(*.f64 (/.f64 (/.f64 (cbrt.f64 (+.f64 m n)) 1) (/.f64 2 (pow.f64 (cbrt.f64 n) 2))) K)
(.f64 (cbrt.f64 (+.f64 n m)) (.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 1/2 K)))
(.f64 1/2 (.f64 K (*.f64 (cbrt.f64 (+.f64 n m)) (pow.f64 (cbrt.f64 n) 2))))
(.f64 (/.f64 (/.f64 (cbrt.f64 (+.f64 m n)) 1) (/.f64 2 (.f64 (cbrt.f64 n) K))) (cbrt.f64 n))
(.f64 (cbrt.f64 n) (.f64 (/.f64 (cbrt.f64 (+.f64 n m)) 2) (*.f64 K (cbrt.f64 n))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 n m)) (cbrt.f64 n)) (/.f64 (/.f64 2 K) (cbrt.f64 n)))
(.f64 (/.f64 (/.f64 (cbrt.f64 (+.f64 m n)) 1) (/.f64 (/.f64 2 K) (cbrt.f64 (.f64 n (cbrt.f64 n))))) (pow.f64 (cbrt.f64 (cbrt.f64 n)) 2))
(.f64 (.f64 (cbrt.f64 (+.f64 n m)) (.f64 1/2 K)) (.f64 (cbrt.f64 (*.f64 n (cbrt.f64 n))) (pow.f64 (cbrt.f64 (cbrt.f64 n)) 2)))
(.f64 (cbrt.f64 (.f64 n (cbrt.f64 n))) (.f64 (cbrt.f64 (+.f64 n m)) (.f64 (*.f64 1/2 K) (pow.f64 (cbrt.f64 (cbrt.f64 n)) 2))))
(*.f64 (/.f64 (/.f64 (cbrt.f64 (+.f64 m n)) 1) (neg.f64 (/.f64 -2 K))) (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 n) 2))))
(.f64 (cbrt.f64 (+.f64 n m)) (.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 1/2 K)))
(.f64 1/2 (.f64 K (*.f64 (cbrt.f64 (+.f64 n m)) (pow.f64 (cbrt.f64 n) 2))))
(.f64 (/.f64 (.f64 (/.f64 (cbrt.f64 (+.f64 m n)) (sqrt.f64 (/.f64 2 K))) (cbrt.f64 n)) 1) (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 n) 2) (.f64 K 1/2))))
(.f64 (.f64 (cbrt.f64 n) (/.f64 (cbrt.f64 (+.f64 n m)) (sqrt.f64 (/.f64 2 K)))) (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 n) 2) (.f64 1/2 K))))
(.f64 (cbrt.f64 n) (.f64 (/.f64 (cbrt.f64 (+.f64 n m)) (sqrt.f64 (/.f64 2 K))) (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 n) 2) (.f64 1/2 K)))))
(.f64 (/.f64 (.f64 (/.f64 (cbrt.f64 (+.f64 m n)) (sqrt.f64 (/.f64 2 K))) (cbrt.f64 n)) (sqrt.f64 2)) (sqrt.f64 (*.f64 K (pow.f64 (cbrt.f64 n) 2))))
(.f64 (/.f64 (/.f64 (cbrt.f64 (+.f64 n m)) (sqrt.f64 (/.f64 2 K))) (/.f64 (sqrt.f64 2) (cbrt.f64 n))) (sqrt.f64 (.f64 K (pow.f64 (cbrt.f64 n) 2))))
(.f64 (/.f64 (.f64 (/.f64 (cbrt.f64 (+.f64 m n)) (sqrt.f64 (/.f64 2 K))) (cbrt.f64 n)) (sqrt.f64 (/.f64 2 K))) (cbrt.f64 n))
(*.f64 (/.f64 (cbrt.f64 (+.f64 n m)) (sqrt.f64 (/.f64 2 K))) (/.f64 (pow.f64 (cbrt.f64 n) 2) (sqrt.f64 (/.f64 2 K))))
(.f64 (/.f64 (.f64 (/.f64 (cbrt.f64 (+.f64 m n)) (sqrt.f64 (/.f64 2 K))) (cbrt.f64 n)) (sqrt.f64 (/.f64 -2 K))) (sqrt.f64 (neg.f64 (pow.f64 (cbrt.f64 n) 2))))
(*.f64 (/.f64 (/.f64 (cbrt.f64 (+.f64 n m)) (sqrt.f64 (/.f64 2 K))) (/.f64 (sqrt.f64 (/.f64 -2 K)) (cbrt.f64 n))) (sqrt.f64 (neg.f64 (pow.f64 (cbrt.f64 n) 2))))
(.f64 (/.f64 (cbrt.f64 (+.f64 n m)) (.f64 (/.f64 (sqrt.f64 (/.f64 -2 K)) (cbrt.f64 n)) (sqrt.f64 (/.f64 2 K)))) (sqrt.f64 (neg.f64 (pow.f64 (cbrt.f64 n) 2))))
(.f64 (/.f64 (/.f64 (cbrt.f64 (+.f64 m n)) (pow.f64 (cbrt.f64 (.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 n) -2))) 2)) 1) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 n) 2) (.f64 K 1/2))))
(.f64 (/.f64 (cbrt.f64 (+.f64 n m)) (pow.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 n) -2) (/.f64 2 K))) 2)) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 n) 2) (.f64 1/2 K))))
(.f64 (/.f64 (/.f64 (cbrt.f64 (+.f64 m n)) (pow.f64 (cbrt.f64 (.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 n) -2))) 2)) (cbrt.f64 2)) (cbrt.f64 (*.f64 K (pow.f64 (cbrt.f64 n) 2))))
(/.f64 (.f64 (/.f64 (cbrt.f64 (+.f64 n m)) (pow.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 n) -2) (/.f64 2 K))) 2)) (cbrt.f64 (*.f64 K (pow.f64 (cbrt.f64 n) 2)))) (cbrt.f64 2))
(.f64 (/.f64 (cbrt.f64 (+.f64 n m)) (.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 n) -2) (/.f64 2 K))) 2) (cbrt.f64 2))) (cbrt.f64 (.f64 K (pow.f64 (cbrt.f64 n) 2))))
(.f64 (/.f64 (/.f64 (cbrt.f64 (+.f64 m n)) (pow.f64 (cbrt.f64 (.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 n) -2))) 2)) (cbrt.f64 (/.f64 2 K))) (pow.f64 (cbrt.f64 (cbrt.f64 n)) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 n)) 2) (/.f64 (cbrt.f64 (+.f64 n m)) (.f64 (cbrt.f64 (/.f64 2 K)) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 n) -2) (/.f64 2 K))) 2))))
(.f64 (/.f64 (/.f64 (cbrt.f64 (+.f64 m n)) (pow.f64 (cbrt.f64 (.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 n) -2))) 2)) (cbrt.f64 (/.f64 -2 K))) (cbrt.f64 (neg.f64 (pow.f64 (cbrt.f64 n) 2))))
(.f64 (/.f64 (cbrt.f64 (+.f64 n m)) (.f64 (cbrt.f64 (/.f64 -2 K)) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 n) -2) (/.f64 2 K))) 2))) (cbrt.f64 (neg.f64 (pow.f64 (cbrt.f64 n) 2))))
(.f64 (/.f64 (/.f64 (cbrt.f64 (+.f64 n m)) (pow.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 n) -2) (/.f64 2 K))) 2)) (cbrt.f64 (/.f64 -2 K))) (cbrt.f64 (neg.f64 (pow.f64 (cbrt.f64 n) 2))))
(pow.f64 (.f64 (cbrt.f64 (+.f64 m n)) (.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 K 1/2))) 1)
(.f64 (cbrt.f64 (+.f64 n m)) (.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 1/2 K)))
(.f64 1/2 (.f64 K (*.f64 (cbrt.f64 (+.f64 n m)) (pow.f64 (cbrt.f64 n) 2))))
(pow.f64 (.f64 (sqrt.f64 (.f64 (cbrt.f64 (+.f64 m n)) (*.f64 K 1/2))) (cbrt.f64 n)) 2)
(.f64 (cbrt.f64 (+.f64 n m)) (.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 1/2 K)))
(.f64 1/2 (.f64 K (*.f64 (cbrt.f64 (+.f64 n m)) (pow.f64 (cbrt.f64 n) 2))))
(pow.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 m n)) (.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 K 1/2)))) 3)
(.f64 (cbrt.f64 (+.f64 n m)) (.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 1/2 K)))
(.f64 1/2 (.f64 K (*.f64 (cbrt.f64 (+.f64 n m)) (pow.f64 (cbrt.f64 n) 2))))
(pow.f64 (/.f64 (*.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 n) -2)) (cbrt.f64 (+.f64 m n))) -1)
(.f64 (cbrt.f64 (+.f64 n m)) (.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 1/2 K)))
(.f64 1/2 (.f64 K (*.f64 (cbrt.f64 (+.f64 n m)) (pow.f64 (cbrt.f64 n) 2))))
(pow.f64 (.f64 (+.f64 m n) (pow.f64 (.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 K 1/2)) 3)) 1/3)
(cbrt.f64 (.f64 (+.f64 n m) (pow.f64 (.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 1/2 K)) 3)))
(neg.f64 (/.f64 (cbrt.f64 (+.f64 m n)) (*.f64 (pow.f64 (cbrt.f64 n) -2) (/.f64 -2 K))))
(.f64 (cbrt.f64 (+.f64 n m)) (.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 1/2 K)))
(.f64 1/2 (.f64 K (*.f64 (cbrt.f64 (+.f64 n m)) (pow.f64 (cbrt.f64 n) 2))))
(sqrt.f64 (pow.f64 (.f64 (cbrt.f64 (+.f64 m n)) (.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 K 1/2))) 2))
(sqrt.f64 (pow.f64 (.f64 (cbrt.f64 (+.f64 n m)) (.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 1/2 K))) 2))
(fabs.f64 (.f64 1/2 (.f64 K (*.f64 (cbrt.f64 (+.f64 n m)) (pow.f64 (cbrt.f64 n) 2)))))
(log.f64 (exp.f64 (.f64 (cbrt.f64 (+.f64 m n)) (.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 K 1/2)))))
(.f64 (cbrt.f64 (+.f64 n m)) (.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 1/2 K)))
(.f64 1/2 (.f64 K (*.f64 (cbrt.f64 (+.f64 n m)) (pow.f64 (cbrt.f64 n) 2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cbrt.f64 (+.f64 m n)) (.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 K 1/2))))))
(.f64 (cbrt.f64 (+.f64 n m)) (.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 1/2 K)))
(.f64 1/2 (.f64 K (*.f64 (cbrt.f64 (+.f64 n m)) (pow.f64 (cbrt.f64 n) 2))))
(cbrt.f64 (.f64 (+.f64 m n) (pow.f64 (.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 K 1/2)) 3)))
(cbrt.f64 (.f64 (+.f64 n m) (pow.f64 (.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 1/2 K)) 3)))
(expm1.f64 (log1p.f64 (.f64 (cbrt.f64 (+.f64 m n)) (.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 K 1/2)))))
(.f64 (cbrt.f64 (+.f64 n m)) (.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 1/2 K)))
(.f64 1/2 (.f64 K (*.f64 (cbrt.f64 (+.f64 n m)) (pow.f64 (cbrt.f64 n) 2))))
(exp.f64 (log.f64 (.f64 (cbrt.f64 (+.f64 m n)) (.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 K 1/2)))))
(.f64 (cbrt.f64 (+.f64 n m)) (.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 1/2 K)))
(.f64 1/2 (.f64 K (*.f64 (cbrt.f64 (+.f64 n m)) (pow.f64 (cbrt.f64 n) 2))))
(exp.f64 (.f64 (log.f64 (.f64 (cbrt.f64 (+.f64 m n)) (.f64 (pow.f64 (cbrt.f64 n) 2) (.f64 K 1/2)))) 1))
(.f64 (cbrt.f64 (+.f64 n m)) (.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 1/2 K)))
(.f64 1/2 (.f64 K (*.f64 (cbrt.f64 (+.f64 n m)) (pow.f64 (cbrt.f64 n) 2))))
(log1p.f64 (expm1.f64 (.f64 (cbrt.f64 (+.f64 m n)) (.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 K 1/2)))))
(.f64 (cbrt.f64 (+.f64 n m)) (.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 1/2 K)))
(.f64 1/2 (.f64 K (*.f64 (cbrt.f64 (+.f64 n m)) (pow.f64 (cbrt.f64 n) 2))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 n))) 1)
(cbrt.f64 n)
(*.f64 (cbrt.f64 n) 1)
(cbrt.f64 n)
(*.f64 1 (cbrt.f64 n))
(cbrt.f64 n)
(*.f64 (pow.f64 n 1/6) (pow.f64 n 1/6))
(cbrt.f64 n)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 n)) 2) (cbrt.f64 (cbrt.f64 n)))
(cbrt.f64 n)
(*.f64 (cbrt.f64 (cbrt.f64 n)) (pow.f64 (cbrt.f64 (cbrt.f64 n)) 2))
(cbrt.f64 n)
(.f64 (sqrt.f64 (cbrt.f64 (.f64 n (cbrt.f64 n)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 n)) 2)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 n (cbrt.f64 n)))) (fabs.f64 (cbrt.f64 (cbrt.f64 n))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 n))
(cbrt.f64 n)
(*.f64 (pow.f64 (sqrt.f64 n) 1/3) (pow.f64 (sqrt.f64 n) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 n)) (cbrt.f64 (sqrt.f64 n)))
(pow.f64 n 1/3)
(cbrt.f64 n)
(pow.f64 (cbrt.f64 n) 1)
(cbrt.f64 n)
(pow.f64 (pow.f64 (cbrt.f64 n) 2) 1/2)
(cbrt.f64 n)
(pow.f64 (pow.f64 n 1/6) 2)
(cbrt.f64 n)
(pow.f64 (cbrt.f64 (cbrt.f64 n)) 3)
(cbrt.f64 n)
(sqrt.f64 (pow.f64 (cbrt.f64 n) 2))
(cbrt.f64 n)
(fabs.f64 (cbrt.f64 n))
(cbrt.f64 n)
(log.f64 (exp.f64 (cbrt.f64 n)))
(cbrt.f64 n)
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 n))))
(cbrt.f64 n)
(expm1.f64 (log1p.f64 (cbrt.f64 n)))
(cbrt.f64 n)
(exp.f64 (log.f64 (cbrt.f64 n)))
(cbrt.f64 n)
(exp.f64 (*.f64 (log.f64 n) 1/3))
(cbrt.f64 n)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 n)) 1))
(cbrt.f64 n)
(log1p.f64 (expm1.f64 (cbrt.f64 n)))
(cbrt.f64 n)

eval4.9s (21.9%)

Compiler: Compiled 224443 to 145608 computations (35.1% saved)

prune852.0ms (3.8%)

Pruning

36 alts after pruning (34 fresh and 2 done)

	Pruned	Kept	Total
New	1973	18	1991
Fresh	11	16	27
Picked	1	0	1
Done	3	2	5
Total	1988	36	2024

Error

1.5b

Counts

2024 → 36

Alt Table

Click to see full alt table

Status	Error	Program
	14.7b	(.f64 (log1p.f64 (expm1.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))) (exp.f64 (-.f64 m (+.f64 n (+.f64 l (.f64 M M))))))
	14.7b	(.f64 (log.f64 (exp.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))) (exp.f64 (-.f64 m (+.f64 n (+.f64 l (.f64 M M))))))
	44.5b	(.f64 (cos.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 m)) (log.f64 (.f64 K -1/2)))) 9)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	36.5b	(.f64 (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 1/2 (.f64 K m)) M) 1/6)) (cbrt.f64 (cbrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))) (.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 1/2 (.f64 K m)) M) 1/6)) (cbrt.f64 (cbrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))))) 3) 3)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	54.2b	(.f64 (cos.f64 (pow.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 1/2 (.f64 K m)) 3) (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))))) 3)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
	9.1b	(.f64 (cos.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 3)) (exp.f64 (-.f64 m (+.f64 n (+.f64 l (.f64 M M))))))
	49.4b	(.f64 (cos.f64 (-.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (+.f64 m n) (.f64 K 1/2))))) (sqrt.f64 (log.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	39.4b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (/.f64 (-.f64 m n) (.f64 K 1/2))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
	33.2b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (/.f64 (-.f64 m n) (.f64 K 1/2))) M)) (exp.f64 (-.f64 m (+.f64 n (+.f64 l (.f64 M M))))))
	21.8b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 n (neg.f64 n)) (/.f64 (/.f64 (-.f64 m n) K) 1/2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	12.3b	(*.f64 (cos.f64 (-.f64 (/.f64 (cbrt.f64 (+.f64 m n)) (/.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 (+.f64 m n)) 2))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	33.8b	(.f64 (cos.f64 (-.f64 (/.f64 (cbrt.f64 (+.f64 m n)) (/.f64 (/.f64 2 K) (cbrt.f64 (.f64 n n)))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (*.f64 M M))))
	33.8b	(.f64 (cos.f64 (-.f64 (/.f64 (cbrt.f64 (+.f64 m n)) (.f64 2 (/.f64 (cbrt.f64 (/.f64 1 (.f64 n n))) K))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
	31.3b	(.f64 (cos.f64 (-.f64 (/.f64 (cbrt.f64 m) (/.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 (+.f64 m n)) 2))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
	30.9b	(.f64 (cos.f64 (-.f64 (/.f64 (cbrt.f64 m) (/.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 n) 2))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
	31.5b	(.f64 (cos.f64 (-.f64 (.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 m n)) (.f64 K 1/2)) (/.f64 1 (cbrt.f64 n))) (cbrt.f64 n)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (*.f64 M M))))
	18.6b	(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (*.f64 (+.f64 m 1) (exp.f64 (-.f64 (neg.f64 n) (fma.f64 M M l)))))
	25.1b	(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (-.f64 m (+.f64 n l))))
	37.4b	(.f64 (cos.f64 (-.f64 (.f64 (cbrt.f64 (.f64 (+.f64 n m) (-.f64 m n))) (/.f64 (cbrt.f64 (.f64 (+.f64 n m) (-.f64 m n))) (.f64 (/.f64 (/.f64 2 K) (cbrt.f64 (.f64 (+.f64 n m) (-.f64 m n)))) (-.f64 m n)))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (*.f64 M M))))
	11.4b	(.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (exp.f64 (-.f64 m (+.f64 n (+.f64 l (.f64 M M))))))
	9.1b	(.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (exp.f64 (-.f64 m (+.f64 n (+.f64 l (.f64 M M))))))
	49.8b	(.f64 (cos.f64 (-.f64 (exp.f64 (-.f64 (log.f64 (.f64 -1/2 (+.f64 n m))) (log.f64 (/.f64 -1 K)))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	36.5b	(.f64 (cos.f64 (-.f64 (exp.f64 (log.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))) M)) (exp.f64 (-.f64 m (+.f64 n (+.f64 l (.f64 M M))))))
	46.5b	(.f64 (cos.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 1/3) (cbrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))) (.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 1/3) (cbrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (*.f64 M M))))
	43.6b	(.f64 (cos.f64 (expm1.f64 (log1p.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
	60.4b	(*.f64 (cos.f64 M) (-.f64 1 l))
✓	29.2b	(.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 (*.f64 n n) 1/4))))
	5.2b	(.f64 (cos.f64 M) (exp.f64 (-.f64 m (+.f64 n (+.f64 l (.f64 M M))))))
	14.4b	(.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 m (+.f64 n l)) (.f64 (*.f64 n n) -1/4))))
	30.4b	(.f64 (cos.f64 M) (exp.f64 (.f64 (*.f64 -1/4 m) m)))
	30.4b	(.f64 (cos.f64 M) (exp.f64 (.f64 n (*.f64 n -1/4))))
	28.6b	(.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M))))
	46.2b	(*.f64 (cos.f64 M) (exp.f64 l))
	29.4b	(.f64 1 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
	45.2b	(exp.f64 (neg.f64 l))
✓	60.2b	(cos.f64 M)

Compiler

Compiled 1060 to 716 computations (32.5% saved)

regimes224.0ms (1%)

Counts

73 → 1

Calls

Call 1

Inputs
(cos.f64 M)
(exp.f64 (neg.f64 l))
(*.f64 (cos.f64 M) (-.f64 1 l))
(*.f64 (cos.f64 M) (exp.f64 l))
(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M))))
(.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (*.f64 n n))))
(.f64 (cos.f64 M) (exp.f64 (.f64 n (*.f64 n -1/4))))
(.f64 (cos.f64 M) (exp.f64 (.f64 (*.f64 -1/4 m) m)))
(.f64 1 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
(.f64 (cos.f64 M) (exp.f64 (-.f64 m (+.f64 n (+.f64 l (.f64 M M))))))
(.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 m (+.f64 n l)) (.f64 (*.f64 n n) -1/4))))
(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (-.f64 m (+.f64 n l))))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (exp.f64 (-.f64 m (+.f64 n (+.f64 l (.f64 M M))))))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (exp.f64 (-.f64 m (+.f64 n (+.f64 l (.f64 M M))))))
(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (-.f64 m (+.f64 n (+.f64 l (*.f64 M M))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (/.f64 (-.f64 m n) (.f64 K 1/2))) M)) (exp.f64 (-.f64 m (+.f64 n (+.f64 l (.f64 M M))))))
(*.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (cos.f64 M))
(.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
(.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 (*.f64 n n) 1/4))))
(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
(.f64 (cos.f64 (-.f64 (.f64 (.f64 1/2 K) m) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (*.f64 M M))))
(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (*.f64 (+.f64 m 1) (exp.f64 (-.f64 (neg.f64 n) (fma.f64 M M l)))))
(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 (.f64 m m) 1/4))))
(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 (.f64 n n) 1/4))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 (+.f64 m n) (-.f64 m n)) (/.f64 (-.f64 m n) (.f64 K 1/2))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(.f64 (cos.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 3)) (exp.f64 (-.f64 m (+.f64 n (+.f64 l (.f64 M M))))))
(.f64 (cos.f64 (-.f64 (exp.f64 (log.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))) M)) (exp.f64 (-.f64 m (+.f64 n (+.f64 l (.f64 M M))))))
(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (expm1.f64 (log1p.f64 (exp.f64 (-.f64 m (+.f64 n (+.f64 l (*.f64 M M))))))))
(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (log.f64 (exp.f64 (exp.f64 (-.f64 m (+.f64 n (+.f64 l (*.f64 M M))))))))
(.f64 (log.f64 (exp.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))) (exp.f64 (-.f64 m (+.f64 n (+.f64 l (.f64 M M))))))
(.f64 (log1p.f64 (expm1.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))) (exp.f64 (-.f64 m (+.f64 n (+.f64 l (.f64 M M))))))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 n (neg.f64 n)) (/.f64 (/.f64 (-.f64 m n) 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 (.f64 (+.f64 m n) (-.f64 m n)) (/.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 (-.f64 (.f64 m m) (*.f64 n n)) (/.f64 (/.f64 (-.f64 m n) 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 (expm1.f64 (log1p.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
(.f64 (cos.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 3)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
(.f64 (cos.f64 (-.f64 (exp.f64 (log.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
(.f64 (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) (.f64 M M))))
(.f64 (log1p.f64 (expm1.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
(.f64 (sqrt.f64 (pow.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) M)) 2)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
(.f64 (cos.f64 (-.f64 (/.f64 (cbrt.f64 (+.f64 m n)) (/.f64 (/.f64 2 K) (cbrt.f64 (.f64 n n)))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (*.f64 M M))))
(.f64 (cos.f64 (-.f64 (/.f64 (cbrt.f64 (+.f64 m n)) (.f64 2 (/.f64 (cbrt.f64 (/.f64 1 (.f64 n n))) K))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
(.f64 (cos.f64 (-.f64 (/.f64 (cbrt.f64 m) (/.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 n) 2))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
(.f64 (cos.f64 (-.f64 (exp.f64 (log.f64 (.f64 1/2 (*.f64 K m)))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (cbrt.f64 m) (/.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 (+.f64 m n)) 2))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
(.f64 (cos.f64 (-.f64 (/.f64 (cbrt.f64 (+.f64 m n)) (/.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 n) 2))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
(.f64 (cos.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)) 3)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(.f64 (cos.f64 (-.f64 (exp.f64 (log.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (cbrt.f64 (+.f64 m n)) (/.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 (+.f64 m n)) 2))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
(.f64 (log.f64 (exp.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)) M)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(.f64 (log1p.f64 (expm1.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 (/.f64 (.f64 (cbrt.f64 (+.f64 m n)) (.f64 K 1/2)) (/.f64 1 (cbrt.f64 n))) (cbrt.f64 n)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (*.f64 M M))))
(.f64 (sqrt.f64 (pow.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (*.f64 1/2 K)) 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 (.f64 (cbrt.f64 (.f64 (+.f64 n m) (-.f64 m n))) (/.f64 (cbrt.f64 (.f64 (+.f64 n m) (-.f64 m n))) (.f64 (/.f64 (/.f64 2 K) (cbrt.f64 (.f64 (+.f64 n m) (-.f64 m n)))) (-.f64 m n)))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (*.f64 M M))))
(.f64 (cos.f64 (-.f64 (exp.f64 (-.f64 (log.f64 (.f64 -1/2 (+.f64 n m))) (log.f64 (/.f64 -1 K)))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(*.f64 (cos.f64 (-.f64 (/.f64 (cbrt.f64 (+.f64 m n)) (/.f64 (/.f64 2 K) (pow.f64 (cbrt.f64 (+.f64 m n)) 2))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (+.f64 m n) (.f64 (cbrt.f64 (/.f64 2 K)) (cbrt.f64 (/.f64 2 K)))) (cbrt.f64 (/.f64 2 K))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(.f64 (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M))) 3) 3)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(.f64 (cos.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 1/3) (cbrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))) (.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 1/3) (cbrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (*.f64 M M))))
(.f64 (cos.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -1 (log.f64 (/.f64 -1 m)) (log.f64 (.f64 K -1/2)))) 9)) (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 (exp.f64 (sqrt.f64 (log.f64 (.f64 (+.f64 m n) (.f64 K 1/2))))) (sqrt.f64 (log.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(.f64 (cos.f64 (pow.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 1/2 (.f64 K m)) 3) (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))))) 3)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))))
(.f64 (cos.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 1/3) (cbrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))) (.f64 (pow.f64 (sqrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 1/3) (cbrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(.f64 (cos.f64 (pow.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 1/2 (.f64 K m)) 3) (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))))) 3)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(.f64 (cos.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 1/2 (.f64 K m)) M) 1/6)) (cbrt.f64 (cbrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))) (.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 1/2 (.f64 K m)) M) 1/6)) (cbrt.f64 (cbrt.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))))) 3) 3)) (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:

55.0ms	K
31.0ms	l
31.0ms	M
30.0ms	m
30.0ms	n

Results

Error	Segments	Branch
2.1b	1	`K`
2.1b	1	`m`
2.1b	1	`n`
2.1b	1	`M`
2.1b	1	`l`
2.1b	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 1920 to 840 computations (56.3% saved)

regimes246.0ms (1.1%)

Counts

28 → 2

Calls

Call 1

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

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

Calls

5 calls:

75.0ms	M
51.0ms	l
47.0ms	n
27.0ms	m
14.0ms	K

Results

Error	Segments	Branch
5.2b	1	`K`
3.6b	2	`m`
3.6b	2	`n`
4.0b	3	`M`
2.7b	2	`l`

Compiler

Compiled 459 to 184 computations (59.9% saved)

bsearch4.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
4.0ms	-92838695371946.56	-1121318.311825182

Results

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

Compiler

Compiled 72 to 52 computations (27.8% saved)

regimes160.0ms (0.7%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

5 calls:

56.0ms	K
34.0ms	M
24.0ms	m
23.0ms	l
18.0ms	n

Results

Error	Segments	Branch
19.2b	9	`K`
7.2b	3	`m`
8.7b	3	`n`
10.1b	5	`M`
12.4b	4	`l`

Compiler

Compiled 105 to 66 computations (37.1% saved)

bsearch68.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	5.490773372178539e-219	5.654645461129407e-215
37.0ms	-0.10597405424755348	-5.721810924157757e-9

Results

49.0ms	261×	body	256	valid
3.0ms	3×	body	512	infinite
3.0ms	6×	body	1024	infinite
3.0ms	7×	body	512	valid
2.0ms	4×	body	1024	valid
2.0ms	11×	body	256	infinite

Compiler

Compiled 620 to 472 computations (23.9% saved)

regimes123.0ms (0.5%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

5 calls:

36.0ms	K
34.0ms	M
20.0ms	l
16.0ms	n
16.0ms	m

Results

Error	Segments	Branch
22.7b	6	`K`
10.0b	3	`m`
10.2b	3	`n`
10.1b	5	`M`
12.4b	4	`l`

Compiler

Compiled 92 to 58 computations (37% saved)

bsearch65.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
30.0ms	5.490773372178539e-219	5.654645461129407e-215
35.0ms	-0.10597405424755348	-5.721810924157757e-9

Results

50.0ms	259×	body	256	valid
4.0ms	10×	body	512	valid
3.0ms	5×	body	1024	infinite
2.0ms	13×	body	256	infinite
2.0ms	3×	body	1024	valid
0.0ms	1×	body	512	infinite

Compiler

Compiled 535 to 421 computations (21.3% saved)

regimes91.0ms (0.4%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

5 calls:

28.0ms	K
21.0ms	l
16.0ms	M
14.0ms	n
10.0ms	m

Results

Error	Segments	Branch
23.8b	5	`K`
20.9b	2	`m`
11.2b	3	`n`
11.3b	3	`M`
12.4b	4	`l`

Compiler

Compiled 83 to 53 computations (36.1% saved)

bsearch69.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
37.0ms	28.86305315369945	14675894.929139022
32.0ms	-0.0952167888068193	-1.2340980786978751e-5

Results

55.0ms	261×	body	256	valid
4.0ms	8×	body	1024	valid
3.0ms	1×	body	1024	infinite
1.0ms	7×	body	256	infinite
1.0ms	3×	body	512	valid
1.0ms	3×	body	512	infinite

Compiler

Compiled 535 to 421 computations (21.3% saved)

regimes50.0ms (0.2%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

5 calls:

17.0ms	M
14.0ms	l
7.0ms	K
6.0ms	n
4.0ms	m

Results

Error	Segments	Branch
28.6b	1	`K`
28.6b	1	`m`
28.6b	1	`n`
19.6b	4	`M`
13.9b	3	`l`

Compiler

Compiled 65 to 43 computations (33.8% saved)

bsearch60.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	0.008884956552745436	23020048758.53969
25.0ms	-4.699071747753653e-8	-1.0324347731553976e-9

Results

54.0ms	267×	body	256	valid
2.0ms	5×	body	512	valid

Compiler

Compiled 447 to 360 computations (19.5% saved)

regimes92.0ms (0.4%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

5 calls:

31.0ms	n
17.0ms	K
16.0ms	M
16.0ms	m
10.0ms	l

Results

Error	Segments	Branch
41.2b	4	`K`
40.9b	4	`m`
41.2b	6	`n`
41.7b	4	`M`
30.2b	2	`l`

Compiler

Compiled 57 to 39 computations (31.6% saved)

bsearch3.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
3.0ms	-9.491124115023651e-134	-8.531321989731723e-135

Results

3.0ms

16×

body

256

valid

Compiler

Compiled 65 to 49 computations (24.6% saved)

regimes83.0ms (0.4%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

5 calls:

22.0ms	m
20.0ms	n
17.0ms	K
14.0ms	M
8.0ms	l

Results

Error	Segments	Branch
41.2b	4	`K`
39.9b	5	`m`
41.2b	5	`n`
41.7b	4	`M`
30.2b	2	`l`

Compiler

Compiled 51 to 38 computations (25.5% saved)

bsearch27.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
27.0ms	2.3293853015306334e-18	2.0908613848020623e-14

Results

24.0ms	126×	body	256	valid
1.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 202 to 166 computations (17.8% saved)

regimes19.0ms (0.1%)

Accuracy

Total -15.7b remaining (-34.7%)

Threshold costs -15.7b (-34.7%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	m
4.0ms	l
3.0ms	K
3.0ms	n
3.0ms	M

Results

Error	Segments	Branch
45.2b	1	`K`
45.2b	1	`m`
45.2b	1	`n`
45.2b	1	`M`
45.2b	1	`l`

Compiler

Compiled 46 to 36 computations (21.7% saved)

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

40×	`*-commutative`
36×	`+-commutative`
26×	`sub-neg`
16×	`neg-mul-1`
16×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	560
1	121	560
2	144	560
3	163	560
4	173	560
5	175	560

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(if (<=.f64 l -50000000000000) (.f64 (cos.f64 M) (exp.f64 l)) (.f64 (cos.f64 M) (exp.f64 (-.f64 m (+.f64 n (+.f64 l (*.f64 M M)))))))
(if (<=.f64 m -7566047373982433/72057594037927936) (.f64 (cos.f64 M) (exp.f64 (.f64 (.f64 -1/4 m) m))) (if (<=.f64 m 4657554276902127/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856) (.f64 1 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M)))) (.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (.f64 n n))))))
(if (<=.f64 m -7566047373982433/72057594037927936) (.f64 (cos.f64 M) (exp.f64 (.f64 (.f64 -1/4 m) m))) (if (<=.f64 m 7750170316765139/397444631628981487398138749046400654145762820381874332451597321734669043887712482900704872660133498355324859058465554740779924491293392484209737542410542371636340473861337575820867913121689201875267327793591416000228568794576910811136) (.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 n -3422735716801577/36028797018963968) (.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (.f64 n n)))) (if (<=.f64 n 55) (.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 l -3475661731392059/75557863725914323419136) (.f64 (cos.f64 M) (exp.f64 l)) (if (<=.f64 l 720) (.f64 (cos.f64 M) (exp.f64 (*.f64 M (neg.f64 M)))) (exp.f64 (neg.f64 l))))
(if (<=.f64 l -2557336412418861/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584) (.f64 (cos.f64 M) (exp.f64 l)) (.f64 (cos.f64 M) (exp.f64 (neg.f64 l))))
(if (<=.f64 l 2636713248474717/5070602400912917605986812821504) (*.f64 (cos.f64 M) (exp.f64 l)) (exp.f64 (neg.f64 l)))
(exp.f64 (neg.f64 l))
(cos.f64 M)

Outputs
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(if (<=.f64 l -50000000000000) (.f64 (cos.f64 M) (exp.f64 l)) (.f64 (cos.f64 M) (exp.f64 (-.f64 m (+.f64 n (+.f64 l (*.f64 M M)))))))
(if (<=.f64 m -7566047373982433/72057594037927936) (.f64 (cos.f64 M) (exp.f64 (.f64 (.f64 -1/4 m) m))) (if (<=.f64 m 4657554276902127/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856) (.f64 1 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M)))) (.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (.f64 n n))))))
(if (<=.f64 m -7566047373982433/72057594037927936) (.f64 (cos.f64 M) (exp.f64 (.f64 m (.f64 m -1/4)))) (if (<=.f64 m 4657554276902127/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M))) (.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (*.f64 n n))))))
(if (<=.f64 m -7566047373982433/72057594037927936) (.f64 (cos.f64 M) (exp.f64 (.f64 (.f64 -1/4 m) m))) (if (<=.f64 m 7750170316765139/397444631628981487398138749046400654145762820381874332451597321734669043887712482900704872660133498355324859058465554740779924491293392484209737542410542371636340473861337575820867913121689201875267327793591416000228568794576910811136) (.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 -7566047373982433/72057594037927936) (.f64 (cos.f64 M) (exp.f64 (.f64 m (.f64 m -1/4)))) (if (<=.f64 m 7750170316765139/397444631628981487398138749046400654145762820381874332451597321734669043887712482900704872660133498355324859058465554740779924491293392484209737542410542371636340473861337575820867913121689201875267327793591416000228568794576910811136) (.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 n -3422735716801577/36028797018963968) (.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (.f64 n n)))) (if (<=.f64 n 55) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))) (.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (.f64 n n))))))
(if (or (<=.f64 n -3422735716801577/36028797018963968) (not (<=.f64 n 55))) (.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (.f64 n n)))) (.f64 (cos.f64 M) (exp.f64 (*.f64 M (neg.f64 M)))))
(if (<=.f64 l -3475661731392059/75557863725914323419136) (.f64 (cos.f64 M) (exp.f64 l)) (if (<=.f64 l 720) (.f64 (cos.f64 M) (exp.f64 (*.f64 M (neg.f64 M)))) (exp.f64 (neg.f64 l))))
(if (<=.f64 l -2557336412418861/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584) (.f64 (cos.f64 M) (exp.f64 l)) (.f64 (cos.f64 M) (exp.f64 (neg.f64 l))))
(if (<=.f64 l 2636713248474717/5070602400912917605986812821504) (*.f64 (cos.f64 M) (exp.f64 l)) (exp.f64 (neg.f64 l)))
(exp.f64 (neg.f64 l))
(cos.f64 M)

Compiler

Compiled 245 to 171 computations (30.2% saved)

soundness168.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

1080×	`associate-r`
1064×	`associate-/l*`
964×	`associate-r`
936×	`associate-+l+`
896×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 339 to 182 computations (46.3% saved)

end79.0ms (0.4%)

Remove: (sort m n)
Compiler: Compiled 250 to 128 computations (48.8% saved)