Metrics for Maksimov and Kolovsky, Equation (32)

analyze2.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 35 to 24 computations (31.4% saved)

sample1.8s (14.7%)

Results

1.6s	7586×	body	256	valid
65.0ms	95×	body	1024	infinite
65.0ms	325×	body	256	infinite
44.0ms	70×	body	1024	valid
37.0ms	95×	body	512	infinite
24.0ms	66×	body	512	valid
13.0ms	18×	body	2048	infinite
1.0ms	1×	body	2048	valid

Bogosity

preprocess77.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1620×	`exp-sum`
1564×	`fma-neg`
900×	`exp-prod`
852×	`fma-def`
482×	`sub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	208	1537
1	581	1519
2	1555	1441
3	5845	1437

Stop Event

1×	node limit

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

Symmetry

(sort m n)

Compiler

Compiled 34 to 23 computations (32.4% saved)

eval2.0ms (0%)

Compiler: Compiled 119 to 64 computations (46.2% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.5%	(*.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 n m)))))
▶	73.5%	(*.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 n m)))))

Status

Accuracy

Program

▶

73.5%

(*.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 n m)))))

▶

73.5%

(*.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 n m)))))

Compiler

Compiled 68 to 46 computations (32.4% saved)

localize513.0ms (4.1%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 2 (+.f64 m n))
✓	100.0%	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
✓	99.7%	(/.f64 K (/.f64 2 (+.f64 m n)))
✓	36.3%	(cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M))

Compiler

Compiled 160 to 79 computations (50.6% saved)

series15.0ms (0.1%)

Counts

4 → 144

Calls

36 calls:

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

rewrite105.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1508×	`fma-def`
690×	`expm1-udef`
688×	`log1p-udef`
526×	`fma-neg`
394×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	86
1	373	86
2	5369	86

Stop Event

1×	node limit

Counts

4 → 153

Calls

Call 1

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

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

simplify140.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1320×	`times-frac`
672×	`associate-r`
630×	`log-prod`
616×	`associate-l`
604×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	552	11463
1	1414	11317
2	4656	11311

Stop Event

1×	node limit

Counts

297 → 316

Calls

Call 1

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

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

eval178.0ms (1.4%)

Compiler: Compiled 13331 to 7051 computations (47.1% saved)

prune114.0ms (0.9%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	303	13	316
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	304	13	317

Accuracy

97.8%

Counts

317 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.9%	(.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)) M))) 3) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) l) (fabs.f64 (-.f64 n m)))))
	72.9%	(.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)) M)))) 1) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) l) (fabs.f64 (-.f64 n m)))))
	41.2%	(.f64 (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)) M)))) (sin.f64 1))) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) l) (fabs.f64 (-.f64 n m)))))
	72.9%	(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))) 2) (cbrt.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) l) (fabs.f64 (-.f64 n m)))))
▶	72.9%	(.f64 (log1p.f64 (expm1.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)) M)))) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) l) (fabs.f64 (-.f64 n m)))))
▶	62.3%	(.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 (-.f64 (.f64 n 1/2) M) (+.f64 (-.f64 (.f64 n 1/2) M) m))) l) (fabs.f64 (-.f64 n m)))))
	44.3%	(.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 (*.f64 n n) 1/4)) l) (fabs.f64 (-.f64 n m)))))
	42.2%	(.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 (*.f64 m m) 1/4)) l) (fabs.f64 (-.f64 n m)))))
▶	50.5%	(.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 M M)) l) (fabs.f64 (-.f64 n m)))))
	83.9%	(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 n)) M)) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) l) (fabs.f64 (-.f64 n m)))))
▶	41.1%	(.f64 (cos.f64 (-.f64 (.f64 (.f64 K (sqrt.f64 (.f64 (+.f64 m n) 1/2))) (sqrt.f64 (*.f64 (+.f64 m n) 1/2))) M)) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) l) (fabs.f64 (-.f64 n m)))))
	50.9%	(.f64 (cos.f64 (-.f64 (expm1.f64 (log1p.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)))) M)) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) l) (fabs.f64 (-.f64 n m)))))
▶	96.6%	(*.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) l) (fabs.f64 (-.f64 n m)))))
	72.9%	(.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)) M))) 3) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) l) (fabs.f64 (-.f64 n m)))))
	72.9%	(.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)) M)))) 1) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) l) (fabs.f64 (-.f64 n m)))))
	41.2%	(.f64 (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)) M)))) (sin.f64 1))) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) l) (fabs.f64 (-.f64 n m)))))
	72.9%	(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))) 2) (cbrt.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) l) (fabs.f64 (-.f64 n m)))))
▶	72.9%	(.f64 (log1p.f64 (expm1.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)) M)))) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) l) (fabs.f64 (-.f64 n m)))))
▶	62.3%	(.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 (-.f64 (.f64 n 1/2) M) (+.f64 (-.f64 (.f64 n 1/2) M) m))) l) (fabs.f64 (-.f64 n m)))))
	44.3%	(.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 (*.f64 n n) 1/4)) l) (fabs.f64 (-.f64 n m)))))
	42.2%	(.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 (*.f64 m m) 1/4)) l) (fabs.f64 (-.f64 n m)))))
▶	50.5%	(.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 M M)) l) (fabs.f64 (-.f64 n m)))))
	83.9%	(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 n)) M)) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) l) (fabs.f64 (-.f64 n m)))))
▶	41.1%	(.f64 (cos.f64 (-.f64 (.f64 (.f64 K (sqrt.f64 (.f64 (+.f64 m n) 1/2))) (sqrt.f64 (*.f64 (+.f64 m n) 1/2))) M)) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) l) (fabs.f64 (-.f64 n m)))))
	50.9%	(.f64 (cos.f64 (-.f64 (expm1.f64 (log1p.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)))) M)) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) l) (fabs.f64 (-.f64 n m)))))
▶	96.6%	(*.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) l) (fabs.f64 (-.f64 n m)))))

Compiler

Compiled 1908 to 1328 computations (30.4% saved)

localize1.6s (12.9%)

Localize:

Found 18 expressions with local error:

New	Accuracy	Program
	100.0%	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
✓	99.8%	(.f64 K (sqrt.f64 (.f64 (+.f64 m n) 1/2)))
✓	99.8%	(.f64 (.f64 K (sqrt.f64 (.f64 (+.f64 m n) 1/2))) (sqrt.f64 (.f64 (+.f64 m n) 1/2)))
✓	66.0%	(cos.f64 (-.f64 (.f64 (.f64 K (sqrt.f64 (.f64 (+.f64 m n) 1/2))) (sqrt.f64 (.f64 (+.f64 m n) 1/2))) M))
	100.0%	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
✓	99.8%	(log1p.f64 (expm1.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))))
✓	99.7%	(expm1.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))
✓	66.0%	(cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))
	100.0%	(/.f64 2 (+.f64 m n))
✓	100.0%	(.f64 (-.f64 (.f64 n 1/2) M) (+.f64 (-.f64 (*.f64 n 1/2) M) m))
	99.8%	(/.f64 K (/.f64 2 (+.f64 m n)))
	66.0%	(cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M))
	100.0%	(/.f64 2 (+.f64 m n))
✓	100.0%	(-.f64 (neg.f64 (*.f64 M M)) l)
	99.8%	(/.f64 K (/.f64 2 (+.f64 m n)))
	66.0%	(cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M))
✓	100.0%	(-.f64 (/.f64 (+.f64 m n) 2) M)
	100.0%	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)

Compiler

Compiled 789 to 364 computations (53.9% saved)

series49.0ms (0.4%)

Counts

9 → 344

Calls

90 calls:

Time	Variable		Expression
20.0ms	M	@	(.f64 (-.f64 (.f64 n 1/2) M) (+.f64 (-.f64 (*.f64 n 1/2) M) m))
2.0ms	m	@	(expm1.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))
1.0ms	n	@	(expm1.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))
1.0ms	K	@	(.f64 (.f64 K (sqrt.f64 (.f64 (+.f64 m n) 1/2))) (sqrt.f64 (.f64 (+.f64 m n) 1/2)))
1.0ms	m	@	(cos.f64 (-.f64 (.f64 (.f64 K (sqrt.f64 (.f64 (+.f64 m n) 1/2))) (sqrt.f64 (.f64 (+.f64 m n) 1/2))) M))

rewrite85.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

736×	`add-sqr-sqrt`
722×	`pow1`
720×	`*-un-lft-identity`
688×	`log1p-expm1-u`
686×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	235
1	720	235

Stop Event

1×	node limit

Counts

9 → 179

Calls

Call 1

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

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

simplify268.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1130×	`fma-def`
942×	`*-commutative`
618×	`sqr-pow`
510×	`log-prod`
506×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	809	20897
1	2198	19481
2	5828	19407

Stop Event

1×	node limit

Counts

523 → 418

Calls

Call 1

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

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

eval1.9s (15.3%)

Compiler: Compiled 92136 to 46386 computations (49.7% saved)

prune388.0ms (3.1%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	2198	14	2212
Fresh	8	0	8
Picked	5	0	5
Done	0	0	0
Total	2211	14	2225

Accuracy

97.9%

Counts

2225 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.0%	(.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))) 3) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 M M)) l) (fabs.f64 (-.f64 n m)))))
	50.0%	(.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))) 1) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 M M)) l) (fabs.f64 (-.f64 n m)))))
	27.1%	(.f64 (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))) (sin.f64 1))) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 M M)) l) (fabs.f64 (-.f64 n m)))))
	50.0%	(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))) 2) (cbrt.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))) (exp.f64 (+.f64 (-.f64 (neg.f64 (*.f64 M M)) l) (fabs.f64 (-.f64 n m)))))
▶	50.0%	(.f64 (log1p.f64 (expm1.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 M M)) l) (fabs.f64 (-.f64 n m)))))
▶	21.0%	(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 (+.f64 (neg.f64 l) (fabs.f64 (-.f64 n m)))))
	54.0%	(.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 n)) M)) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 M M)) l) (fabs.f64 (-.f64 n m)))))
▶	29.7%	(.f64 (cos.f64 (-.f64 (.f64 (.f64 K (sqrt.f64 (.f64 (+.f64 m n) 1/2))) (sqrt.f64 (.f64 (+.f64 m n) 1/2))) M)) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 M M)) l) (fabs.f64 (-.f64 n m)))))
	31.3%	(.f64 (cos.f64 (-.f64 (.f64 (expm1.f64 (log1p.f64 (.f64 K (sqrt.f64 (.f64 (+.f64 m n) 1/2))))) (sqrt.f64 (*.f64 (+.f64 m n) 1/2))) M)) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) l) (fabs.f64 (-.f64 n m)))))
	37.1%	(.f64 (cos.f64 (-.f64 (expm1.f64 (log1p.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))) M)) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 M M)) l) (fabs.f64 (-.f64 n m)))))
▶	80.9%	(.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 (-.f64 (.f64 n 1/2) M) (+.f64 (-.f64 (.f64 n 1/2) M) m))) l) (fabs.f64 (-.f64 n m)))))
	59.0%	(.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 (*.f64 n n) 1/4)) l) (fabs.f64 (-.f64 n m)))))
	56.1%	(.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 (*.f64 m m) 1/4)) l) (fabs.f64 (-.f64 n m)))))
▶	57.6%	(.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 M M)) l) (fabs.f64 (-.f64 n m)))))
	50.0%	(.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))) 3) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 M M)) l) (fabs.f64 (-.f64 n m)))))
	50.0%	(.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))) 1) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 M M)) l) (fabs.f64 (-.f64 n m)))))
	27.1%	(.f64 (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))) (sin.f64 1))) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 M M)) l) (fabs.f64 (-.f64 n m)))))
	50.0%	(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))) 2) (cbrt.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))) (exp.f64 (+.f64 (-.f64 (neg.f64 (*.f64 M M)) l) (fabs.f64 (-.f64 n m)))))
▶	50.0%	(.f64 (log1p.f64 (expm1.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 M M)) l) (fabs.f64 (-.f64 n m)))))
▶	21.0%	(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 (+.f64 (neg.f64 l) (fabs.f64 (-.f64 n m)))))
	54.0%	(.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 n)) M)) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 M M)) l) (fabs.f64 (-.f64 n m)))))
▶	29.7%	(.f64 (cos.f64 (-.f64 (.f64 (.f64 K (sqrt.f64 (.f64 (+.f64 m n) 1/2))) (sqrt.f64 (.f64 (+.f64 m n) 1/2))) M)) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 M M)) l) (fabs.f64 (-.f64 n m)))))
	31.3%	(.f64 (cos.f64 (-.f64 (.f64 (expm1.f64 (log1p.f64 (.f64 K (sqrt.f64 (.f64 (+.f64 m n) 1/2))))) (sqrt.f64 (*.f64 (+.f64 m n) 1/2))) M)) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) l) (fabs.f64 (-.f64 n m)))))
	37.1%	(.f64 (cos.f64 (-.f64 (expm1.f64 (log1p.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))) M)) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 M M)) l) (fabs.f64 (-.f64 n m)))))
▶	80.9%	(.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 (-.f64 (.f64 n 1/2) M) (+.f64 (-.f64 (.f64 n 1/2) M) m))) l) (fabs.f64 (-.f64 n m)))))
	59.0%	(.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 (*.f64 n n) 1/4)) l) (fabs.f64 (-.f64 n m)))))
	56.1%	(.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 (*.f64 m m) 1/4)) l) (fabs.f64 (-.f64 n m)))))
▶	57.6%	(.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 M M)) l) (fabs.f64 (-.f64 n m)))))

Compiler

Compiled 1756 to 1228 computations (30.1% saved)

localize779.0ms (6.3%)

Localize:

Found 13 expressions with local error:

New	Accuracy	Program
	100.0%	(-.f64 (neg.f64 (*.f64 M M)) l)
	99.8%	(.f64 K (sqrt.f64 (.f64 (+.f64 m n) 1/2)))
	99.8%	(.f64 (.f64 K (sqrt.f64 (.f64 (+.f64 m n) 1/2))) (sqrt.f64 (.f64 (+.f64 m n) 1/2)))
	66.0%	(cos.f64 (-.f64 (.f64 (.f64 K (sqrt.f64 (.f64 (+.f64 m n) 1/2))) (sqrt.f64 (.f64 (+.f64 m n) 1/2))) M))
✓	100.0%	(.f64 (+.f64 m n) (.f64 K 1/2))
	99.8%	(log1p.f64 (expm1.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))))
	99.7%	(expm1.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))
	66.0%	(cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))
	100.0%	(/.f64 2 (+.f64 m n))
	99.8%	(/.f64 K (/.f64 2 (+.f64 m n)))
	66.0%	(cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M))
	100.0%	(-.f64 (neg.f64 (*.f64 M M)) l)
	100.0%	(.f64 (-.f64 (.f64 n 1/2) M) (+.f64 (-.f64 (*.f64 n 1/2) M) m))

Compiler

Compiled 574 to 197 computations (65.7% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite62.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

938×	`log-prod`
910×	`prod-diff`
736×	`prod-exp`
684×	`pow-prod-down`
444×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	191	19
2	2498	19

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

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

simplify80.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

710×	`log-prod`
616×	`*-commutative`
616×	`distribute-lft-in`
608×	`distribute-rgt-in`
586×	`div-sub`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	119	1547
1	281	1513
2	813	1513
3	3347	1493
4	5383	1481

Stop Event

1×	node limit

Counts

75 → 55

Calls

Call 1

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

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

eval392.0ms (3.2%)

Compiler: Compiled 32351 to 14061 computations (56.5% saved)

prune231.0ms (1.9%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	870	13	883
Fresh	7	2	9
Picked	4	1	5
Done	0	0	0
Total	881	16	897

Accuracy

97.9%

Counts

897 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	20.5%	(.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)) M))) 3) (exp.f64 (+.f64 (neg.f64 l) (fabs.f64 (-.f64 n m)))))
	20.5%	(.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)) M)))) 1) (exp.f64 (+.f64 (neg.f64 l) (fabs.f64 (-.f64 n m)))))
	15.2%	(.f64 (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)) M)))) (sin.f64 1))) (exp.f64 (+.f64 (neg.f64 l) (fabs.f64 (-.f64 n m)))))
	20.5%	(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))) 2) (cbrt.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))) (exp.f64 (+.f64 (neg.f64 l) (fabs.f64 (-.f64 n m)))))
	35.3%	(.f64 (log1p.f64 (expm1.f64 (cos.f64 (-.f64 (/.f64 (.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K 1/2)) (-.f64 m n)) M)))) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 M M)) l) (fabs.f64 (-.f64 n m)))))
▶	20.5%	(.f64 (log1p.f64 (expm1.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)) M)))) (exp.f64 (+.f64 (neg.f64 l) (fabs.f64 (-.f64 n m)))))
	37.1%	(.f64 (log1p.f64 (expm1.f64 (cos.f64 (-.f64 (expm1.f64 (log1p.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))) M)))) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 M M)) l) (fabs.f64 (-.f64 n m)))))
	22.2%	(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 n)) M)) (exp.f64 (+.f64 (neg.f64 l) (fabs.f64 (-.f64 n m)))))
▶	21.3%	(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 m)) M)) (exp.f64 (+.f64 (neg.f64 l) (fabs.f64 (-.f64 n m)))))
▶	11.7%	(.f64 (cos.f64 (-.f64 (.f64 (.f64 K (sqrt.f64 (.f64 (+.f64 m n) 1/2))) (sqrt.f64 (*.f64 (+.f64 m n) 1/2))) M)) (exp.f64 (+.f64 (neg.f64 l) (fabs.f64 (-.f64 n m)))))
	16.5%	(.f64 (cos.f64 (-.f64 (expm1.f64 (log1p.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)))) M)) (exp.f64 (+.f64 (neg.f64 l) (fabs.f64 (-.f64 n m)))))
✓	80.9%	(.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 (-.f64 (.f64 n 1/2) M) (+.f64 (-.f64 (.f64 n 1/2) M) m))) l) (fabs.f64 (-.f64 n m)))))
▶	59.0%	(.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 (*.f64 n n) 1/4)) l) (fabs.f64 (-.f64 n m)))))
	56.1%	(.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 (*.f64 m m) 1/4)) l) (fabs.f64 (-.f64 n m)))))
	48.4%	(.f64 (cos.f64 M) (exp.f64 (+.f64 (.f64 M (neg.f64 M)) (fabs.f64 (-.f64 n m)))))
▶	22.7%	(*.f64 (cos.f64 M) (exp.f64 (+.f64 (neg.f64 l) (fabs.f64 (-.f64 n m)))))
	20.5%	(.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)) M))) 3) (exp.f64 (+.f64 (neg.f64 l) (fabs.f64 (-.f64 n m)))))
	20.5%	(.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)) M)))) 1) (exp.f64 (+.f64 (neg.f64 l) (fabs.f64 (-.f64 n m)))))
	15.2%	(.f64 (+.f64 (.f64 (cos.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))) (cos.f64 1)) (.f64 (sin.f64 (exp.f64 (log1p.f64 (-.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)) M)))) (sin.f64 1))) (exp.f64 (+.f64 (neg.f64 l) (fabs.f64 (-.f64 n m)))))
	20.5%	(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))) 2) (cbrt.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))) (exp.f64 (+.f64 (neg.f64 l) (fabs.f64 (-.f64 n m)))))
	35.3%	(.f64 (log1p.f64 (expm1.f64 (cos.f64 (-.f64 (/.f64 (.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K 1/2)) (-.f64 m n)) M)))) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 M M)) l) (fabs.f64 (-.f64 n m)))))
▶	20.5%	(.f64 (log1p.f64 (expm1.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)) M)))) (exp.f64 (+.f64 (neg.f64 l) (fabs.f64 (-.f64 n m)))))
	37.1%	(.f64 (log1p.f64 (expm1.f64 (cos.f64 (-.f64 (expm1.f64 (log1p.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))) M)))) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 M M)) l) (fabs.f64 (-.f64 n m)))))
	22.2%	(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 n)) M)) (exp.f64 (+.f64 (neg.f64 l) (fabs.f64 (-.f64 n m)))))
▶	21.3%	(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 m)) M)) (exp.f64 (+.f64 (neg.f64 l) (fabs.f64 (-.f64 n m)))))
▶	11.7%	(.f64 (cos.f64 (-.f64 (.f64 (.f64 K (sqrt.f64 (.f64 (+.f64 m n) 1/2))) (sqrt.f64 (*.f64 (+.f64 m n) 1/2))) M)) (exp.f64 (+.f64 (neg.f64 l) (fabs.f64 (-.f64 n m)))))
	16.5%	(.f64 (cos.f64 (-.f64 (expm1.f64 (log1p.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)))) M)) (exp.f64 (+.f64 (neg.f64 l) (fabs.f64 (-.f64 n m)))))
✓	80.9%	(.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 (-.f64 (.f64 n 1/2) M) (+.f64 (-.f64 (.f64 n 1/2) M) m))) l) (fabs.f64 (-.f64 n m)))))
▶	59.0%	(.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 (*.f64 n n) 1/4)) l) (fabs.f64 (-.f64 n m)))))
	56.1%	(.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 (*.f64 m m) 1/4)) l) (fabs.f64 (-.f64 n m)))))
	48.4%	(.f64 (cos.f64 M) (exp.f64 (+.f64 (.f64 M (neg.f64 M)) (fabs.f64 (-.f64 n m)))))
▶	22.7%	(*.f64 (cos.f64 M) (exp.f64 (+.f64 (neg.f64 l) (fabs.f64 (-.f64 n m)))))

Compiler

Compiled 1720 to 1234 computations (28.3% saved)

localize730.0ms (5.9%)

Localize:

Found 9 expressions with local error:

New	Accuracy	Program
	99.8%	(.f64 K (sqrt.f64 (.f64 (+.f64 m n) 1/2)))
	99.8%	(.f64 (.f64 K (sqrt.f64 (.f64 (+.f64 m n) 1/2))) (sqrt.f64 (.f64 (+.f64 m n) 1/2)))
	66.0%	(cos.f64 (-.f64 (.f64 (.f64 K (sqrt.f64 (.f64 (+.f64 m n) 1/2))) (sqrt.f64 (.f64 (+.f64 m n) 1/2))) M))
	100.0%	(.f64 (+.f64 m n) (.f64 K 1/2))
	99.8%	(log1p.f64 (expm1.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))))
	99.7%	(expm1.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))
	66.0%	(cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))
✓	99.8%	(/.f64 K (/.f64 2 m))
✓	85.4%	(cos.f64 (-.f64 (/.f64 K (/.f64 2 m)) M))

Compiler

Compiled 432 to 148 computations (65.7% saved)

series8.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	m	@	-inf	(/.f64 K (/.f64 2 m))
1.0ms	K	@	0	(cos.f64 (-.f64 (/.f64 K (/.f64 2 m)) M))
1.0ms	K	@	0	(/.f64 K (/.f64 2 m))
0.0ms	m	@	inf	(/.f64 K (/.f64 2 m))
0.0ms	K	@	inf	(/.f64 K (/.f64 2 m))

rewrite126.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1796×	`prod-diff`
1254×	`log-prod`
692×	`fma-def`
476×	`expm1-udef`
474×	`log1p-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	249	36
2	3491	36

Stop Event

1×	node limit

Counts

2 → 94

Calls

Call 1

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

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

simplify143.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1144×	`associate-*r/`
786×	`unswap-sqr`
572×	`distribute-lft-in`
536×	`distribute-rgt-in`
414×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	325	5228
1	791	5076
2	2547	4938

Stop Event

1×	node limit

Counts

154 → 149

Calls

Call 1

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

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

eval329.0ms (2.6%)

Compiler: Compiled 17440 to 8409 computations (51.8% saved)

prune138.0ms (1.1%)

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	460	9	469
Fresh	4	6	10
Picked	1	4	5
Done	0	1	1
Total	465	20	485

Accuracy

97.9%

Counts

485 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	20.5%	(.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)) M))) 3) (exp.f64 (+.f64 (neg.f64 l) (fabs.f64 (-.f64 n m)))))
	20.9%	(.f64 (-.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 (.f64 K (*.f64 m 1/2)) M)))) 1) (exp.f64 (+.f64 (neg.f64 l) (fabs.f64 (-.f64 n m)))))
	20.7%	(.f64 (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)))) (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)))))) (exp.f64 (+.f64 (neg.f64 l) (fabs.f64 (-.f64 n m)))))
	20.5%	(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))) 2) (cbrt.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M)))) (exp.f64 (+.f64 (neg.f64 l) (fabs.f64 (-.f64 n m)))))
	20.7%	(.f64 (.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 K (*.f64 m 1/2) (neg.f64 M))))))) (exp.f64 (+.f64 (neg.f64 l) (fabs.f64 (-.f64 n m)))))
	18.1%	(.f64 (log1p.f64 (expm1.f64 (cos.f64 (-.f64 (/.f64 (.f64 (-.f64 (.f64 m m) (.f64 n n)) (*.f64 K 1/2)) (-.f64 m n)) M)))) (exp.f64 (+.f64 (neg.f64 l) (fabs.f64 (-.f64 n m)))))
	22.1%	(.f64 (log1p.f64 (expm1.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M)))) (exp.f64 (+.f64 (neg.f64 l) (fabs.f64 (-.f64 n m)))))
	16.5%	(.f64 (log1p.f64 (expm1.f64 (cos.f64 (-.f64 (expm1.f64 (log1p.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)))) M)))) (exp.f64 (+.f64 (neg.f64 l) (fabs.f64 (-.f64 n m)))))
	22.2%	(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 n)) M)) (exp.f64 (+.f64 (neg.f64 l) (fabs.f64 (-.f64 n m)))))
✓	21.3%	(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 m)) M)) (exp.f64 (+.f64 (neg.f64 l) (fabs.f64 (-.f64 n m)))))
	21.3%	(.f64 (cos.f64 (-.f64 (.f64 (.f64 (.f64 K 1/2) (pow.f64 (cbrt.f64 m) 2)) (cbrt.f64 m)) M)) (exp.f64 (+.f64 (neg.f64 l) (fabs.f64 (-.f64 n m)))))
✓	11.7%	(.f64 (cos.f64 (-.f64 (.f64 (.f64 K (sqrt.f64 (.f64 (+.f64 m n) 1/2))) (sqrt.f64 (*.f64 (+.f64 m n) 1/2))) M)) (exp.f64 (+.f64 (neg.f64 l) (fabs.f64 (-.f64 n m)))))
	16.5%	(.f64 (cos.f64 (-.f64 (expm1.f64 (log1p.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)))) M)) (exp.f64 (+.f64 (neg.f64 l) (fabs.f64 (-.f64 n m)))))
	18.2%	(.f64 (cos.f64 (-.f64 (expm1.f64 (log1p.f64 (.f64 K (*.f64 m 1/2)))) M)) (exp.f64 (+.f64 (neg.f64 l) (fabs.f64 (-.f64 n m)))))
	20.5%	(.f64 (cos.f64 (.f64 K (*.f64 m 1/2))) (exp.f64 (+.f64 (neg.f64 l) (fabs.f64 (-.f64 n m)))))
✓	80.9%	(.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 (-.f64 (.f64 n 1/2) M) (+.f64 (-.f64 (.f64 n 1/2) M) m))) l) (fabs.f64 (-.f64 n m)))))
✓	59.0%	(.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 (*.f64 n n) 1/4)) l) (fabs.f64 (-.f64 n m)))))
	56.1%	(.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 (*.f64 m m) 1/4)) l) (fabs.f64 (-.f64 n m)))))
	48.4%	(.f64 (cos.f64 M) (exp.f64 (+.f64 (.f64 M (neg.f64 M)) (fabs.f64 (-.f64 n m)))))
✓	22.7%	(*.f64 (cos.f64 M) (exp.f64 (+.f64 (neg.f64 l) (fabs.f64 (-.f64 n m)))))

Compiler

Compiled 1899 to 1025 computations (46% saved)

regimes146.0ms (1.2%)

Counts

51 → 1

Calls

Call 1

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

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

Calls

6 calls:

25.0ms	l
24.0ms	K
24.0ms	n
23.0ms	M
23.0ms	m

Results

Accuracy	Segments	Branch
96.6%	1	`K`
96.6%	1	`m`
96.6%	1	`n`
96.6%	1	`M`
96.6%	1	`l`
96.6%	1	`(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))`

Compiler

Compiled 1428 to 683 computations (52.2% saved)

regimes106.0ms (0.9%)

Counts

15 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

38.0ms	M
30.0ms	n
16.0ms	m
9.0ms	l
8.0ms	K

Results

Accuracy	Segments	Branch
88.4%	4	`n`
80.9%	1	`K`
95.1%	2	`m`
86.0%	5	`M`
80.9%	1	`l`

Compiler

Compiled 328 to 155 computations (52.7% saved)

regimes53.0ms (0.4%)

Counts

11 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

30.0ms	n
19.0ms	m

Results

Accuracy	Segments	Branch
88.2%	5	`n`
86.6%	3	`m`

Compiler

Compiled 202 to 85 computations (57.9% saved)

regimes92.0ms (0.7%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

5 calls:

28.0ms	K
24.0ms	l
21.0ms	M
9.0ms	m
8.0ms	n

Results

Accuracy	Segments	Branch
77.9%	3	`M`
66.0%	6	`K`
66.8%	6	`l`
68.4%	2	`n`
78.7%	2	`m`

Compiler

Compiled 106 to 61 computations (42.5% saved)

regimes22.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
57.6%	1	`K`
57.6%	1	`l`
57.6%	1	`n`
57.6%	1	`M`
57.6%	1	`m`

Compiler

Compiled 89 to 53 computations (40.4% saved)

regimes26.0ms (0.2%)

Counts

2 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

9.0ms	M
6.0ms	l
4.0ms	K
3.0ms	m
3.0ms	n

Results

Accuracy	Segments	Branch
48.4%	1	`K`
48.4%	1	`m`
48.4%	1	`n`
57.6%	3	`M`
52.6%	2	`l`

Compiler

Compiled 59 to 42 computations (28.8% saved)

regimes15.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
22.7%	1	`K`
22.7%	1	`m`
22.7%	1	`n`
22.7%	1	`l`
22.7%	1	`M`

Compiler

Compiled 46 to 37 computations (19.6% saved)

bsearch31.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
31.0ms	-15303980544610972000.0	-52959292356.66358

Results

26.0ms	134×	body	256	valid
2.0ms	8×	body	256	infinite
0.0ms	1×	body	1024	infinite
0.0ms	1×	body	512	infinite

Compiler

Compiled 528 to 381 computations (27.8% saved)

bsearch68.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
37.0ms	2.3852112581455864e-291	1.4837071322163235e-271
31.0ms	-15303980544610972000.0	-52959292356.66358

Results

58.0ms	303×	body	256	valid
2.0ms	4×	body	1024	valid
2.0ms	10×	body	256	infinite
1.0ms	2×	body	512	infinite
1.0ms	1×	body	1024	infinite

Compiler

Compiled 922 to 670 computations (27.3% saved)

bsearch11.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
11.0ms	-15303980544610972000.0	-52959292356.66358

Results

9.0ms	43×	body	256	valid
1.0ms	4×	body	256	infinite
1.0ms	1×	body	1024	infinite

Compiler

Compiled 174 to 126 computations (27.6% saved)

bsearch31.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.7802377602734077e+25	4.725035823894919e+25
17.0ms	-1.6319008633434674e+38	-4.449334751348024e+37

Results

26.0ms	137×	body	256	valid
1.0ms	3×	body	1024	infinite
1.0ms	2×	body	512	infinite
0.0ms	2×	body	256	infinite

Compiler

Compiled 366 to 273 computations (25.4% saved)

simplify92.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1056×	`unsub-neg`
458×	`neg-mul-1`
316×	`distribute-neg-out`
262×	`distribute-lft-neg-in`
164×	`neg-sub0`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	81	667
1	146	655
2	212	619
3	284	619
4	332	619
5	363	619
6	547	619
7	1075	619
8	1498	619
9	1508	619
10	1521	619
11	1548	619
12	1574	619
13	1594	619
14	1611	619
15	1668	619
16	1738	619
17	1775	619
18	1826	619
19	1855	619
20	1862	619

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) l) (fabs.f64 (-.f64 n m)))))
(if (<=.f64 m -15000000000000000000) (.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 (.f64 m m) 1/4)) l) (fabs.f64 (-.f64 n m))))) (.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 (-.f64 (.f64 n 1/2) M) (+.f64 (-.f64 (*.f64 n 1/2) M) m))) l) (fabs.f64 (-.f64 n m))))))
(if (<=.f64 m -820000000000000) (.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 (.f64 m m) 1/4)) l) (fabs.f64 (-.f64 n m))))) (if (<=.f64 m 3752179781925273/79833612381388792466254908521473542642698050417418301660101889697488475674758562631398318619705428043573697873767699809758897519535743746429566871931393256812800226918043427060701508857774519487306134269781756959733232418204834815555554210737921766300284836275030241665694339809213760397115392) (.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 M M)) l) (fabs.f64 (-.f64 n m))))) (.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 (.f64 n n) 1/4)) l) (fabs.f64 (-.f64 n m)))))))
(if (<=.f64 m -5000000000000) (.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 (.f64 m m) 1/4)) l) (fabs.f64 (-.f64 n m))))) (.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 (neg.f64 (*.f64 M M)) l) (fabs.f64 (-.f64 n m))))))
(.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 M M)) l) (fabs.f64 (-.f64 n m)))))
(if (<=.f64 M -44999999999999996153544530833428185088) (.f64 (cos.f64 M) (exp.f64 (+.f64 (.f64 M (neg.f64 M)) (fabs.f64 (-.f64 n m))))) (if (<=.f64 M 28999999999999998976589824) (.f64 (cos.f64 M) (exp.f64 (+.f64 (neg.f64 l) (fabs.f64 (-.f64 n m))))) (.f64 (cos.f64 M) (exp.f64 (+.f64 (*.f64 M (neg.f64 M)) (fabs.f64 (-.f64 n m)))))))
(*.f64 (cos.f64 M) (exp.f64 (+.f64 (neg.f64 l) (fabs.f64 (-.f64 n m)))))

Outputs
(*.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) l) (fabs.f64 (-.f64 n m)))))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)))))
(if (<=.f64 m -15000000000000000000) (.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 (.f64 m m) 1/4)) l) (fabs.f64 (-.f64 n m))))) (.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 (-.f64 (.f64 n 1/2) M) (+.f64 (-.f64 (*.f64 n 1/2) M) m))) l) (fabs.f64 (-.f64 n m))))))
(if (<=.f64 m -15000000000000000000) (.f64 (cos.f64 M) (exp.f64 (+.f64 (fabs.f64 (-.f64 n m)) (-.f64 (.f64 (.f64 m m) (neg.f64 1/4)) l)))) (.f64 (cos.f64 M) (exp.f64 (+.f64 (fabs.f64 (-.f64 n m)) (-.f64 (.f64 (-.f64 (.f64 n 1/2) M) (neg.f64 (+.f64 m (-.f64 (*.f64 n 1/2) M)))) l)))))
(if (<=.f64 m -15000000000000000000) (.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 (.f64 m m) 1/4))))) (.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 (-.f64 (.f64 n 1/2) M) (+.f64 m (-.f64 (*.f64 n 1/2) M))))))))
(if (<=.f64 m -15000000000000000000) (.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 (.f64 m m) 1/4))))) (.f64 (cos.f64 M) (exp.f64 (+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (.f64 (+.f64 m (-.f64 (.f64 n 1/2) M)) (-.f64 M (*.f64 n 1/2))) l)))))
(if (<=.f64 m -15000000000000000000) (.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (.f64 (.f64 m m) 1/4))))) (.f64 (cos.f64 M) (exp.f64 (+.f64 (fabs.f64 (-.f64 n m)) (-.f64 (.f64 (-.f64 (.f64 n 1/2) M) (-.f64 (-.f64 M (*.f64 n 1/2)) m)) l)))))
(if (<=.f64 m -15000000000000000000) (.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (.f64 (.f64 m m) 1/4) l)))) (.f64 (cos.f64 M) (exp.f64 (+.f64 (fabs.f64 (-.f64 n m)) (-.f64 (.f64 (-.f64 (.f64 n 1/2) M) (-.f64 (-.f64 M (*.f64 n 1/2)) m)) l)))))
(if (<=.f64 m -820000000000000) (.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 (.f64 m m) 1/4)) l) (fabs.f64 (-.f64 n m))))) (if (<=.f64 m 3752179781925273/79833612381388792466254908521473542642698050417418301660101889697488475674758562631398318619705428043573697873767699809758897519535743746429566871931393256812800226918043427060701508857774519487306134269781756959733232418204834815555554210737921766300284836275030241665694339809213760397115392) (.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 M M)) l) (fabs.f64 (-.f64 n m))))) (.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 (.f64 n n) 1/4)) l) (fabs.f64 (-.f64 n m)))))))
(if (<=.f64 m -820000000000000) (.f64 (cos.f64 M) (exp.f64 (+.f64 (fabs.f64 (-.f64 n m)) (-.f64 (.f64 (.f64 m m) (neg.f64 1/4)) l)))) (if (<=.f64 m 3752179781925273/79833612381388792466254908521473542642698050417418301660101889697488475674758562631398318619705428043573697873767699809758897519535743746429566871931393256812800226918043427060701508857774519487306134269781756959733232418204834815555554210737921766300284836275030241665694339809213760397115392) (.f64 (cos.f64 M) (exp.f64 (+.f64 (fabs.f64 (-.f64 n m)) (-.f64 (neg.f64 (.f64 M M)) l)))) (.f64 (cos.f64 M) (exp.f64 (+.f64 (fabs.f64 (-.f64 n m)) (-.f64 (.f64 (.f64 n n) (neg.f64 1/4)) l))))))
(if (<=.f64 m -820000000000000) (.f64 (cos.f64 M) (exp.f64 (+.f64 (fabs.f64 (-.f64 n m)) (-.f64 (.f64 (.f64 m m) (neg.f64 1/4)) l)))) (if (<=.f64 m 3752179781925273/79833612381388792466254908521473542642698050417418301660101889697488475674758562631398318619705428043573697873767699809758897519535743746429566871931393256812800226918043427060701508857774519487306134269781756959733232418204834815555554210737921766300284836275030241665694339809213760397115392) (.f64 (cos.f64 M) (exp.f64 (+.f64 (fabs.f64 (-.f64 n m)) (-.f64 (neg.f64 (.f64 M M)) l)))) (.f64 (cos.f64 M) (exp.f64 (+.f64 (fabs.f64 (-.f64 n m)) (-.f64 (.f64 1/4 (.f64 n (neg.f64 n))) l))))))
(if (<=.f64 m -820000000000000) (.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 (.f64 m m) 1/4))))) (if (<=.f64 m 3752179781925273/79833612381388792466254908521473542642698050417418301660101889697488475674758562631398318619705428043573697873767699809758897519535743746429566871931393256812800226918043427060701508857774519487306134269781756959733232418204834815555554210737921766300284836275030241665694339809213760397115392) (.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 M M))))) (.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (.f64 n n))))))))
(if (<=.f64 m -820000000000000) (.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (.f64 (.f64 m m) 1/4))))) (if (<=.f64 m 3752179781925273/79833612381388792466254908521473542642698050417418301660101889697488475674758562631398318619705428043573697873767699809758897519535743746429566871931393256812800226918043427060701508857774519487306134269781756959733232418204834815555554210737921766300284836275030241665694339809213760397115392) (.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (.f64 M M))))) (.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (.f64 1/4 (.f64 n n))))))))
(if (<=.f64 m -820000000000000) (.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (.f64 (.f64 m m) 1/4) l)))) (if (<=.f64 m 3752179781925273/79833612381388792466254908521473542642698050417418301660101889697488475674758562631398318619705428043573697873767699809758897519535743746429566871931393256812800226918043427060701508857774519487306134269781756959733232418204834815555554210737921766300284836275030241665694339809213760397115392) (.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (.f64 M M) l)))) (.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (.f64 1/4 (.f64 n n)) l))))))
(if (<=.f64 m -5000000000000) (.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 (.f64 m m) 1/4)) l) (fabs.f64 (-.f64 n m))))) (.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 (neg.f64 (*.f64 M M)) l) (fabs.f64 (-.f64 n m))))))
(if (<=.f64 m -5000000000000) (.f64 (cos.f64 M) (exp.f64 (+.f64 (fabs.f64 (-.f64 n m)) (-.f64 (.f64 (.f64 m m) (neg.f64 1/4)) l)))) (.f64 (cos.f64 M) (exp.f64 (+.f64 (fabs.f64 (-.f64 n m)) (-.f64 (neg.f64 (*.f64 M M)) l)))))
(if (<=.f64 m -5000000000000) (.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 (.f64 m m) 1/4))))) (.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 M M))))))
(if (<=.f64 m -5000000000000) (.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (.f64 (.f64 m m) 1/4))))) (.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (*.f64 M M))))))
(if (<=.f64 m -5000000000000) (.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (.f64 (.f64 m m) 1/4) l)))) (.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (*.f64 M M) l)))))
(.f64 (cos.f64 M) (exp.f64 (+.f64 (-.f64 (neg.f64 (.f64 M M)) l) (fabs.f64 (-.f64 n m)))))
(.f64 (cos.f64 M) (exp.f64 (+.f64 (fabs.f64 (-.f64 n m)) (-.f64 (neg.f64 (.f64 M M)) l))))
(.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 M M)))))
(.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (.f64 M M)))))
(.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (.f64 M M) l))))
(if (<=.f64 M -44999999999999996153544530833428185088) (.f64 (cos.f64 M) (exp.f64 (+.f64 (.f64 M (neg.f64 M)) (fabs.f64 (-.f64 n m))))) (if (<=.f64 M 28999999999999998976589824) (.f64 (cos.f64 M) (exp.f64 (+.f64 (neg.f64 l) (fabs.f64 (-.f64 n m))))) (.f64 (cos.f64 M) (exp.f64 (+.f64 (*.f64 M (neg.f64 M)) (fabs.f64 (-.f64 n m)))))))
(if (or (<=.f64 M -44999999999999996153544530833428185088) (not (<=.f64 M 28999999999999998976589824))) (.f64 (cos.f64 M) (exp.f64 (+.f64 (fabs.f64 (-.f64 n m)) (neg.f64 (.f64 M M))))) (*.f64 (cos.f64 M) (exp.f64 (+.f64 (fabs.f64 (-.f64 n m)) (neg.f64 l)))))
(if (or (<=.f64 M -44999999999999996153544530833428185088) (not (<=.f64 M 28999999999999998976589824))) (.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (.f64 M M)))) (*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l))))
(if (or (<=.f64 M -44999999999999996153544530833428185088) (not (<=.f64 M 28999999999999998976589824))) (.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 M M)))) (*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l))))
(*.f64 (cos.f64 M) (exp.f64 (+.f64 (neg.f64 l) (fabs.f64 (-.f64 n m)))))
(*.f64 (cos.f64 M) (exp.f64 (+.f64 (fabs.f64 (-.f64 n m)) (neg.f64 l))))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)))

Compiler

Compiled 242 to 150 computations (38% saved)

soundness1.4s (10.9%)

Rules

1620×	`exp-sum`
1564×	`fma-neg`
1320×	`times-frac`
1320×	`times-frac`
1320×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	208	1537
1	581	1519
2	1555	1441
3	5845	1437
0	552	11463
1	1414	11317
2	4656	11311
0	552	11463
1	1414	11317
2	4656	11311
0	809	20897
1	2198	19481
2	5828	19407
0	809	20897
1	2198	19481
2	5828	19407
0	552	11463
1	1414	11317
2	4656	11311
0	552	11463
1	1414	11317
2	4656	11311
0	552	11463
1	1414	11317
2	4656	11311

Stop Event

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

Compiler

Compiled 625 to 357 computations (42.9% saved)

end0.0ms (0%)

preprocess94.0ms (0.8%)

Remove: (sort m n)
Compiler: Compiled 542 to 258 computations (52.4% saved)

analyze2.0ms (0%)

sample1.8s (14.7%)

preprocess77.0ms (0.6%)

eval2.0ms (0%)

prune2.0ms (0%)

localize513.0ms (4.1%)

series15.0ms (0.1%)

rewrite105.0ms (0.8%)

simplify140.0ms (1.1%)

eval178.0ms (1.4%)

prune114.0ms (0.9%)

localize1.6s (12.9%)

series49.0ms (0.4%)

rewrite85.0ms (0.7%)

simplify268.0ms (2.2%)

eval1.9s (15.3%)

prune388.0ms (3.1%)

localize779.0ms (6.3%)

series1.0ms (0%)

rewrite62.0ms (0.5%)

simplify80.0ms (0.6%)

eval392.0ms (3.2%)

prune231.0ms (1.9%)

localize730.0ms (5.9%)

series8.0ms (0.1%)

rewrite126.0ms (1%)

simplify143.0ms (1.2%)

eval329.0ms (2.6%)

prune138.0ms (1.1%)

regimes146.0ms (1.2%)

regimes106.0ms (0.9%)

regimes53.0ms (0.4%)

regimes92.0ms (0.7%)

regimes22.0ms (0.2%)

regimes26.0ms (0.2%)

regimes15.0ms (0.1%)

bsearch31.0ms (0.2%)

bsearch68.0ms (0.5%)

bsearch11.0ms (0.1%)

bsearch31.0ms (0.2%)

simplify92.0ms (0.7%)

soundness1.4s (10.9%)

end0.0ms (0%)

preprocess94.0ms (0.8%)

Profiling