Metrics for Maksimov and Kolovsky, Equation (32)

analyze1.0ms (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)

sample2.1s (10.9%)

Results

1.7s	7550×	body	256	valid
104.0ms	49×	body	1024	valid
77.0ms	105×	body	1024	infinite
76.0ms	393×	body	256	infinite
27.0ms	75×	body	512	infinite
24.0ms	63×	body	512	valid
12.0ms	18×	body	2048	infinite
3.0ms	3×	body	2048	valid

Bogosity

preprocess411.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

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

Problems

179×	`(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))`
76×	No Errors
1×	`(/.f64 (*.f64 K (+.f64 m n)) 2)`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	219	2686
1	622	2650
2	1660	2542
3	6217	2534

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))))))
(neg.f64 (.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)))))))
(neg.f64 (.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)))))))
(neg.f64 (.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))))))))
(neg.f64 (.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)))))))
(neg.f64 (.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 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 n m))))))
(.f64 (cos.f64 (-.f64 (.f64 (/.f64 K 2) (+.f64 m n)) M)) (exp.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m)))))))
(*.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 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 n m))))))
(.f64 (cos.f64 (-.f64 (.f64 (/.f64 K 2) (+.f64 m n)) M)) (exp.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m)))))))
(*.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 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 n m))))) (cos.f64 (-.f64 (/.f64 (neg.f64 K) (/.f64 2 (+.f64 m n))) M)))
(.f64 (exp.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m)))))) (cos.f64 (-.f64 (.f64 (/.f64 (neg.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 (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 (/.f64 K 2) (-.f64 n m)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (-.f64 n m) 2) M) 2)) (-.f64 l (fabs.f64 (+.f64 m n))))))
(.f64 (cos.f64 (-.f64 (.f64 (-.f64 n m) (/.f64 K 2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (+.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (-.f64 n m) 2) M) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.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 K 2) (-.f64 m n)) M)) (exp.f64 (neg.f64 (+.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 (/.f64 K 2) (+.f64 m n)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 M (/.f64 (+.f64 m n) 2)) 2)) (-.f64 l (fabs.f64 (-.f64 n m))))))
(*.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 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (neg.f64 l)) (fabs.f64 (-.f64 n m)))))
(.f64 (cos.f64 (-.f64 (.f64 (/.f64 K 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))))
(neg.f64 (.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 (neg.f64 (cos.f64 (-.f64 (/.f64 (neg.f64 K) (/.f64 2 (+.f64 m n))) M))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 n m))))))
(.f64 (exp.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m)))))) (neg.f64 (cos.f64 (-.f64 (.f64 (/.f64 (neg.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))) (neg.f64 (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))) (neg.f64 (cos.f64 (fma.f64 (+.f64 m n) (/.f64 K 2) M))))
(neg.f64 (.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)) (neg.f64 (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 (/.f64 K 2) (-.f64 n m)) M)) (neg.f64 (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)) (neg.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (+.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (-.f64 n m) 2) M) 2)))))
(neg.f64 (.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 (neg.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 K 2) (-.f64 m n)) M)) (neg.f64 (exp.f64 (neg.f64 (+.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)) (neg.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (+.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (-.f64 m n) 2) M) 2)))))
(neg.f64 (.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))) (neg.f64 (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 (/.f64 K 2) (+.f64 m n)) M)) (neg.f64 (exp.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 M (/.f64 (+.f64 m n) 2)) 2)) (-.f64 l (fabs.f64 (-.f64 n m)))))))
(*.f64 (cos.f64 (fma.f64 (/.f64 K 2) (+.f64 m n) M)) (neg.f64 (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)) (neg.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (+.f64 M (/.f64 (+.f64 m n) 2)) 2)))))
(neg.f64 (.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)) (neg.f64 (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (neg.f64 l)) (fabs.f64 (-.f64 n m))))))
(.f64 (cos.f64 (-.f64 (.f64 (/.f64 K 2) (+.f64 m n)) M)) (neg.f64 (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))) (neg.f64 (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))) (neg.f64 (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 (.f64 m (+.f64 K n)) 2) M)) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 K n) 2) M) 2)) l) (fabs.f64 (-.f64 K n)))))
(.f64 (cos.f64 (-.f64 (.f64 (/.f64 m 2) (+.f64 K n)) M)) (exp.f64 (neg.f64 (+.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 m K))))))
(.f64 (cos.f64 (-.f64 (.f64 (+.f64 K m) (/.f64 n 2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 K m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 K m) 2) M) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 M (+.f64 m n)) 2) K)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) K) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(*.f64 (cos.f64 (-.f64 (/.f64 M (/.f64 2 (+.f64 m n))) K)) (exp.f64 (-.f64 (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 (neg.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) K) 2) (-.f64 l (fabs.f64 (-.f64 n m)))))))
(*.f64 (cos.f64 (fma.f64 (/.f64 M 2) (+.f64 m n) (neg.f64 K))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) K) 2))))
(*.f64 (cos.f64 (fma.f64 (+.f64 m n) (/.f64 M 2) (neg.f64 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 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) K) (fabs.f64 (-.f64 n m)))))
(.f64 (cos.f64 (-.f64 (.f64 (/.f64 l 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)) K))))
(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 l 2)) 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 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 n m))))))
(.f64 (cos.f64 (-.f64 (.f64 (/.f64 K 2) (+.f64 m n)) M)) (exp.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m)))))))
(*.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 (.f64 K (+.f64 n M)) 2) m)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n M) 2) m) 2)) (-.f64 l (fabs.f64 (-.f64 M n))))))
(.f64 (cos.f64 (-.f64 (.f64 (/.f64 K 2) (+.f64 n M)) m)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n M) 2) m) 2)) (-.f64 l (fabs.f64 (-.f64 n M))))))
(.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 (/.f64 K 2) (+.f64 n l)) M)) (exp.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n l) 2) M) 2) (-.f64 m (fabs.f64 (-.f64 l n)))))))
(.f64 (cos.f64 (-.f64 (.f64 (+.f64 n l) (/.f64 K 2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 l n)) m) (pow.f64 (-.f64 (/.f64 (+.f64 n l) 2) M) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m M)) 2) n)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m M) 2) n) 2)) (-.f64 l (fabs.f64 (-.f64 m M))))))
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m M))) n)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m M) 2) n) 2)) (-.f64 l (fabs.f64 (-.f64 m M))))))
(.f64 (cos.f64 (-.f64 (.f64 (/.f64 K 2) (+.f64 m M)) n)) (exp.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m M) 2) n) 2) (-.f64 l (fabs.f64 (-.f64 m M)))))))
(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m M) (/.f64 K 2)) n)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m M)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m M) 2) n) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.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 K (/.f64 2 (+.f64 m l))) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m l) 2) M) 2)) (-.f64 n (fabs.f64 (-.f64 m l))))))
(.f64 (cos.f64 (-.f64 (.f64 (/.f64 K 2) (+.f64 m l)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m l) 2) M) 2)) (-.f64 n (fabs.f64 (-.f64 m l))))))
(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m l) (/.f64 K 2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m l)) n) (pow.f64 (-.f64 (/.f64 (+.f64 m l) 2) M) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.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 (/.f64 K 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 188 to 88 computations (53.2% saved)

eval2.0ms (0%)

Compiler: Compiled 119 to 63 computations (47.1% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.5%	(*.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 l (fabs.f64 (-.f64 n m))))))
▶	74.5%	(*.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 l (fabs.f64 (-.f64 n m))))))

Status

Accuracy

Program

▶

74.5%

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

▶

74.5%

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

Compiler

Compiled 68 to 46 computations (32.4% saved)

localize392.0ms (2.1%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 n m))))
✓	100.0%	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
✓	99.7%	(/.f64 K (/.f64 2 (+.f64 m n)))
✓	35.9%	(cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M))

Compiler

Compiled 154 to 70 computations (54.5% saved)

series17.0ms (0.1%)

Counts

4 → 168

Calls

42 calls:

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

rewrite185.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

776×	`expm1-udef`
776×	`log1p-udef`
288×	`associate-r`
229×	`log1p-expm1-u`
229×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	172
1	461	164
2	7199	164

Stop Event

1×	node limit

Counts

4 → 159

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

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 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (*.f64 K 1/2) (+.f64 m n) (neg.f64 M))))) 1)
(-.f64 (.f64 (cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (cos.f64 (neg.f64 M))) (.f64 (sin.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (sin.f64 (neg.f64 M))))
(.f64 (cos.f64 (fma.f64 (.f64 K 1/2) (+.f64 m n) (neg.f64 M))) 1)
(.f64 1 (cos.f64 (fma.f64 (.f64 K 1/2) (+.f64 m n) (neg.f64 M))))
(.f64 (cbrt.f64 (cos.f64 (fma.f64 (.f64 K 1/2) (+.f64 m n) (neg.f64 M)))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (*.f64 K 1/2) (+.f64 m n) (neg.f64 M)))) 2))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (.f64 K 1/2) (+.f64 m n) (neg.f64 M)))) 2) (cbrt.f64 (cos.f64 (fma.f64 (*.f64 K 1/2) (+.f64 m n) (neg.f64 M)))))
(.f64 (sqrt.f64 (cos.f64 (fma.f64 (.f64 K 1/2) (+.f64 m n) (neg.f64 M)))) (sqrt.f64 (cos.f64 (fma.f64 (*.f64 K 1/2) (+.f64 m n) (neg.f64 M)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (cos.f64 M)) 3) (pow.f64 (.f64 (sin.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (sin.f64 M)) 3)) (+.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (cos.f64 M)) (.f64 (cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (cos.f64 M))) (-.f64 (.f64 (.f64 (sin.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (sin.f64 M)) (.f64 (sin.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (sin.f64 M))) (.f64 (.f64 (cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (cos.f64 M)) (.f64 (sin.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))) (sin.f64 M))))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (cos.f64 M)) (.f64 (cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (cos.f64 M))) (.f64 (.f64 (sin.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (sin.f64 M)) (.f64 (sin.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (sin.f64 M)))) (-.f64 (.f64 (cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (cos.f64 M)) (.f64 (sin.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (sin.f64 M))))
(pow.f64 (cos.f64 (fma.f64 (*.f64 K 1/2) (+.f64 m n) (neg.f64 M))) 1)
(pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (*.f64 K 1/2) (+.f64 m n) (neg.f64 M)))) 3)
(pow.f64 (pow.f64 (cos.f64 (fma.f64 (*.f64 K 1/2) (+.f64 m n) (neg.f64 M))) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (fma.f64 (*.f64 K 1/2) (+.f64 m n) (neg.f64 M)))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (*.f64 K 1/2) (+.f64 m n) (neg.f64 M))) 2))
(log.f64 (exp.f64 (cos.f64 (fma.f64 (*.f64 K 1/2) (+.f64 m n) (neg.f64 M)))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (fma.f64 (*.f64 K 1/2) (+.f64 m n) (neg.f64 M))))))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 (*.f64 K 1/2) (+.f64 m n) (neg.f64 M))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 (*.f64 K 1/2) (+.f64 m n) (neg.f64 M)))))
(exp.f64 (log.f64 (cos.f64 (fma.f64 (*.f64 K 1/2) (+.f64 m n) (neg.f64 M)))))
(exp.f64 (.f64 (log.f64 (cos.f64 (fma.f64 (.f64 K 1/2) (+.f64 m n) (neg.f64 M)))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 (*.f64 K 1/2) (+.f64 m n) (neg.f64 M)))))
(fma.f64 (cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (cos.f64 M) (.f64 (sin.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))) (sin.f64 M)))
(+.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 (pow.f64 (cbrt.f64 K) 2) (.f64 (cbrt.f64 K) (*.f64 (+.f64 m n) 1/2)))
(.f64 (cbrt.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) 2) (cbrt.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))))
(.f64 (sqrt.f64 K) (.f64 (sqrt.f64 K) (*.f64 (+.f64 m n) 1/2)))
(.f64 (sqrt.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (sqrt.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))))
(.f64 (sqrt.f64 (.f64 (+.f64 m n) 1/2)) (/.f64 K (sqrt.f64 (/.f64 2 (+.f64 m n)))))
(*.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 (cbrt.f64 (/.f64 4 (pow.f64 (+.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) (cbrt.f64 (/.f64 4 (pow.f64 (+.f64 m n) 2)))) (cbrt.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))))
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simplify186.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1508×	`fma-neg`
776×	`fma-def`
646×	`associate-r`
608×	`associate-l`
540×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	575	19963
1	1612	19513
2	5995	19472

Stop Event

1×	node limit

Counts

327 → 381

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

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

eval206.0ms (1.1%)

Compiler: Compiled 14824 to 7578 computations (48.9% saved)

prune160.0ms (0.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	369	12	381
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	370	12	382

Accuracy

98.7%

Counts

382 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.3%	(.f64 (+.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))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 n m))))))
	79.8%	(.f64 (+.f64 (cos.f64 M) (.f64 -1/2 (.f64 (.f64 K (neg.f64 (sin.f64 M))) (+.f64 m n)))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 n m))))))
	41.9%	(.f64 (cos.f64 (-.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 n m))))))
	74.8%	(.f64 (cos.f64 (-.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))) 3) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 n m))))))
	32.6%	(.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 (.f64 (pow.f64 n 2) -1/4)))
▶	40.9%	(.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 (.f64 (pow.f64 m 2) -1/4)))
	38.9%	(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 (neg.f64 (pow.f64 M 2))))
▶	28.2%	(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
	74.8%	(.f64 (cos.f64 (-.f64 (.f64 (pow.f64 (cbrt.f64 K) 2) (.f64 (cbrt.f64 K) (.f64 (+.f64 m n) 1/2))) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 n m))))))
▶	82.6%	(.f64 (cos.f64 (-.f64 (.f64 K (*.f64 n 1/2)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 n m))))))
	55.6%	(.f64 (cos.f64 (-.f64 (expm1.f64 (log1p.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)))) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 n m))))))
▶	97.1%	(*.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 n m))))))
▶	76.3%	(.f64 (+.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))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 n m))))))
	79.8%	(.f64 (+.f64 (cos.f64 M) (.f64 -1/2 (.f64 (.f64 K (neg.f64 (sin.f64 M))) (+.f64 m n)))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 n m))))))
	41.9%	(.f64 (cos.f64 (-.f64 (pow.f64 (sqrt.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 n m))))))
	74.8%	(.f64 (cos.f64 (-.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))) 3) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 n m))))))
	32.6%	(.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 (.f64 (pow.f64 n 2) -1/4)))
▶	40.9%	(.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 (.f64 (pow.f64 m 2) -1/4)))
	38.9%	(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 (neg.f64 (pow.f64 M 2))))
▶	28.2%	(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
	74.8%	(.f64 (cos.f64 (-.f64 (.f64 (pow.f64 (cbrt.f64 K) 2) (.f64 (cbrt.f64 K) (.f64 (+.f64 m n) 1/2))) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 n m))))))
▶	82.6%	(.f64 (cos.f64 (-.f64 (.f64 K (*.f64 n 1/2)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 n m))))))
	55.6%	(.f64 (cos.f64 (-.f64 (expm1.f64 (log1p.f64 (.f64 (+.f64 m n) (*.f64 K 1/2)))) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 n m))))))
▶	97.1%	(*.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 n m))))))

Compiler

Compiled 1508 to 1076 computations (28.6% saved)

localize2.2s (11.4%)

Localize:

Found 19 expressions with local error:

New	Accuracy	Program
✓	98.2%	(.f64 (.f64 K n) (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)))
✓	87.3%	(.f64 (+.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))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 n m))))))
✓	50.2%	(sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
✓	49.4%	(cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
✓	100.0%	(-.f64 (.f64 K (.f64 n 1/2)) M)
	100.0%	(-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 n m))))
	100.0%	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
✓	51.4%	(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
✓	100.0%	(/.f64 2 (+.f64 m n))
✓	100.0%	(-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)
	99.7%	(/.f64 K (/.f64 2 (+.f64 m n)))
	35.9%	(cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M))
✓	100.0%	(-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)
✓	100.0%	(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
	99.7%	(/.f64 K (/.f64 2 (+.f64 m n)))
	35.9%	(cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M))
	100.0%	(-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 n m))))
✓	100.0%	(cos.f64 M)
	100.0%	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)

Compiler

Compiled 600 to 279 computations (53.5% saved)

series66.0ms (0.3%)

Counts

11 → 436

Calls

111 calls:

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

rewrite117.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

430×	`log1p-expm1-u`
430×	`expm1-log1p-u`
424×	`add-cube-cbrt`
423×	`add-exp-log`
423×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	504
1	885	500

Stop Event

1×	node limit

Counts

11 → 231

Calls

Call 1

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

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

simplify309.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1856×	`fma-def`
684×	`associate-+r+`
634×	`*-commutative`
614×	`distribute-rgt-in`
608×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1010	48034
1	2945	45925

Stop Event

1×	node limit

Counts

667 → 509

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 M 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 M 2)) (.f64 1/24 (pow.f64 M 4))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 M 2)) (+.f64 (.f64 -1/720 (pow.f64 M 6)) (*.f64 1/24 (pow.f64 M 4)))))
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l)))
(+.f64 (.f64 -1/2 (.f64 K (.f64 (exp.f64 (neg.f64 l)) (.f64 (sin.f64 (neg.f64 M)) (+.f64 m n))))) (*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l))))
(+.f64 (.f64 -1/2 (.f64 K (.f64 (exp.f64 (neg.f64 l)) (.f64 (sin.f64 (neg.f64 M)) (+.f64 m n))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (cos.f64 (neg.f64 M)) (.f64 (exp.f64 (neg.f64 l)) (pow.f64 (+.f64 m n) 2))))) (*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l)))))
(+.f64 (.f64 -1/2 (.f64 K (.f64 (exp.f64 (neg.f64 l)) (.f64 (sin.f64 (neg.f64 M)) (+.f64 m n))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (cos.f64 (neg.f64 M)) (.f64 (exp.f64 (neg.f64 l)) (pow.f64 (+.f64 m n) 2))))) (+.f64 (.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (exp.f64 (neg.f64 l)) (.f64 (sin.f64 (neg.f64 M)) (pow.f64 (+.f64 m n) 3))))) (*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l))))))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K n)) M)) (exp.f64 (neg.f64 l)))
(+.f64 (.f64 -1/2 (.f64 K (.f64 m (.f64 (exp.f64 (neg.f64 l)) (sin.f64 (-.f64 (.f64 1/2 (.f64 K n)) M)))))) (.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K n)) M)) (exp.f64 (neg.f64 l))))
(+.f64 (.f64 -1/2 (.f64 K (.f64 m (.f64 (exp.f64 (neg.f64 l)) (sin.f64 (-.f64 (.f64 1/2 (.f64 K n)) M)))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (pow.f64 m 2) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K n)) M)) (exp.f64 (neg.f64 l)))))) (.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K n)) M)) (exp.f64 (neg.f64 l)))))
(+.f64 (.f64 -1/2 (.f64 K (.f64 m (.f64 (exp.f64 (neg.f64 l)) (sin.f64 (-.f64 (.f64 1/2 (.f64 K n)) M)))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (pow.f64 m 2) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K n)) M)) (exp.f64 (neg.f64 l)))))) (+.f64 (.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (pow.f64 m 3) (.f64 (exp.f64 (neg.f64 l)) (sin.f64 (-.f64 (.f64 1/2 (.f64 K n)) M)))))) (.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K n)) M)) (exp.f64 (neg.f64 l))))))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (.f64 -1 m)))) M)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (.f64 -1 m)))) M)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (.f64 -1 m)))) M)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (.f64 -1 m)))) M)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)) (exp.f64 (neg.f64 l)))
(+.f64 (.f64 -1/2 (.f64 K (.f64 n (.f64 (exp.f64 (neg.f64 l)) (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))))) (.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)) (exp.f64 (neg.f64 l))))
(+.f64 (.f64 -1/2 (.f64 K (.f64 n (.f64 (exp.f64 (neg.f64 l)) (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (pow.f64 n 2) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (exp.f64 (neg.f64 l)))))) (.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)) (exp.f64 (neg.f64 l)))))
(+.f64 (.f64 -1/2 (.f64 K (.f64 n (.f64 (exp.f64 (neg.f64 l)) (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (pow.f64 n 2) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (exp.f64 (neg.f64 l)))))) (+.f64 (.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (pow.f64 n 3) (.f64 (exp.f64 (neg.f64 l)) (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))))) (.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)) (exp.f64 (neg.f64 l))))))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (.f64 -1 n)))) M)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (.f64 -1 n)))) M)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (.f64 -1 n)))) M)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (.f64 -1 n)))) M)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (.f64 1/2 (*.f64 K (+.f64 m n)))) (exp.f64 (neg.f64 l)))
(+.f64 (.f64 M (.f64 (exp.f64 (neg.f64 l)) (sin.f64 (.f64 1/2 (.f64 K (+.f64 m n)))))) (.f64 (cos.f64 (.f64 1/2 (*.f64 K (+.f64 m n)))) (exp.f64 (neg.f64 l))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 M 2) (.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) (exp.f64 (neg.f64 l))))) (+.f64 (.f64 M (.f64 (exp.f64 (neg.f64 l)) (sin.f64 (.f64 1/2 (.f64 K (+.f64 m n)))))) (.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) (exp.f64 (neg.f64 l)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 M 2) (.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) (exp.f64 (neg.f64 l))))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 M 3) (.f64 (exp.f64 (neg.f64 l)) (sin.f64 (.f64 1/2 (.f64 K (+.f64 m n))))))) (+.f64 (.f64 M (.f64 (exp.f64 (neg.f64 l)) (sin.f64 (.f64 1/2 (.f64 K (+.f64 m n)))))) (.f64 (cos.f64 (.f64 1/2 (*.f64 K (+.f64 m n)))) (exp.f64 (neg.f64 l))))))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (.f64 K (+.f64 m n))))) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (.f64 K (+.f64 m n))))) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (.f64 K (+.f64 m n))))) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (.f64 K (+.f64 m n))))) (exp.f64 (neg.f64 l)))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M))
(+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M)) (.f64 -1 (.f64 l (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M)))))
(+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M)) (+.f64 (.f64 -1 (.f64 l (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M)))) (.f64 1/2 (.f64 (pow.f64 l 2) (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M))))))
(+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M)) (+.f64 (.f64 -1 (.f64 l (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M)))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 l 3) (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M)))) (.f64 1/2 (.f64 (pow.f64 l 2) (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M)))))))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M)) (exp.f64 (.f64 -1 l)))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M)) (exp.f64 (.f64 -1 l)))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M)) (exp.f64 (.f64 -1 l)))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M)) (exp.f64 (.f64 -1 l)))
(*.f64 -1 M)
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(pow.f64 (pow.f64 (.f64 K (.f64 n (sin.f64 (-.f64 (.f64 (.f64 K m) 1/2) M)))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 K (.f64 n (sin.f64 (-.f64 (.f64 (.f64 K m) 1/2) M))))) 2)
(log.f64 (pow.f64 (exp.f64 K) (.f64 n (sin.f64 (-.f64 (.f64 (*.f64 K m) 1/2) M)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 K (.f64 n (sin.f64 (-.f64 (.f64 (.f64 K m) 1/2) M)))))))
(cbrt.f64 (pow.f64 (.f64 K (.f64 n (sin.f64 (-.f64 (.f64 (.f64 K m) 1/2) M)))) 3))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 (-.f64 (.f64 (.f64 K m) 1/2) M)) 3) (pow.f64 (.f64 K n) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 K n) 3) (pow.f64 (sin.f64 (-.f64 (.f64 (.f64 K m) 1/2) M)) 3)))
(expm1.f64 (log1p.f64 (.f64 K (.f64 n (sin.f64 (-.f64 (.f64 (.f64 K m) 1/2) M))))))
(exp.f64 (log.f64 (.f64 K (.f64 n (sin.f64 (-.f64 (.f64 (.f64 K m) 1/2) M))))))
(exp.f64 (.f64 (log.f64 (.f64 K (.f64 n (sin.f64 (-.f64 (.f64 (*.f64 K m) 1/2) M))))) 1))
(log1p.f64 (expm1.f64 (.f64 K (.f64 n (sin.f64 (-.f64 (.f64 (.f64 K m) 1/2) M))))))

Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 M 2)))
(fma.f64 -1/2 (pow.f64 M 2) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 M 2)) (.f64 1/24 (pow.f64 M 4))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 M 2) (*.f64 1/24 (pow.f64 M 4))))
(+.f64 (fma.f64 -1/2 (pow.f64 M 2) 1) (*.f64 1/24 (pow.f64 M 4)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 M 2)) (+.f64 (.f64 -1/720 (pow.f64 M 6)) (*.f64 1/24 (pow.f64 M 4)))))
(+.f64 1 (fma.f64 -1/2 (pow.f64 M 2) (fma.f64 -1/720 (pow.f64 M 6) (*.f64 1/24 (pow.f64 M 4)))))
(+.f64 (fma.f64 -1/2 (pow.f64 M 2) 1) (fma.f64 1/24 (pow.f64 M 4) (*.f64 -1/720 (pow.f64 M 6))))
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
(+.f64 (.f64 -1/2 (.f64 K (.f64 (exp.f64 (neg.f64 l)) (.f64 (sin.f64 (neg.f64 M)) (+.f64 m n))))) (*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l))))
(fma.f64 -1/2 (.f64 K (.f64 (exp.f64 (neg.f64 l)) (.f64 (neg.f64 (sin.f64 M)) (+.f64 m n)))) (.f64 (cos.f64 M) (exp.f64 (neg.f64 l))))
(+.f64 (.f64 -1/2 (.f64 K (.f64 (exp.f64 (neg.f64 l)) (.f64 (sin.f64 (neg.f64 M)) (+.f64 m n))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (cos.f64 (neg.f64 M)) (.f64 (exp.f64 (neg.f64 l)) (pow.f64 (+.f64 m n) 2))))) (*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l)))))
(fma.f64 -1/2 (.f64 K (.f64 (exp.f64 (neg.f64 l)) (.f64 (neg.f64 (sin.f64 M)) (+.f64 m n)))) (fma.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (cos.f64 M) (.f64 (exp.f64 (neg.f64 l)) (pow.f64 (+.f64 m n) 2)))) (*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))))
(fma.f64 -1/2 (.f64 K (.f64 (exp.f64 (neg.f64 l)) (.f64 (neg.f64 (sin.f64 M)) (+.f64 m n)))) (fma.f64 -1/8 (.f64 (.f64 (cos.f64 M) (pow.f64 K 2)) (.f64 (exp.f64 (neg.f64 l)) (pow.f64 (+.f64 m n) 2))) (*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))))
(+.f64 (.f64 -1/2 (.f64 K (.f64 (exp.f64 (neg.f64 l)) (.f64 (sin.f64 (neg.f64 M)) (+.f64 m n))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (cos.f64 (neg.f64 M)) (.f64 (exp.f64 (neg.f64 l)) (pow.f64 (+.f64 m n) 2))))) (+.f64 (.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (exp.f64 (neg.f64 l)) (.f64 (sin.f64 (neg.f64 M)) (pow.f64 (+.f64 m n) 3))))) (*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l))))))
(fma.f64 -1/2 (.f64 K (.f64 (exp.f64 (neg.f64 l)) (.f64 (neg.f64 (sin.f64 M)) (+.f64 m n)))) (fma.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (cos.f64 M) (.f64 (exp.f64 (neg.f64 l)) (pow.f64 (+.f64 m n) 2)))) (fma.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (exp.f64 (neg.f64 l)) (.f64 (neg.f64 (sin.f64 M)) (pow.f64 (+.f64 m n) 3)))) (.f64 (cos.f64 M) (exp.f64 (neg.f64 l))))))
(fma.f64 -1/2 (.f64 K (.f64 (exp.f64 (neg.f64 l)) (.f64 (neg.f64 (sin.f64 M)) (+.f64 m n)))) (fma.f64 -1/8 (.f64 (.f64 (cos.f64 M) (pow.f64 K 2)) (.f64 (exp.f64 (neg.f64 l)) (pow.f64 (+.f64 m n) 2))) (fma.f64 1/48 (.f64 (.f64 (pow.f64 K 3) (exp.f64 (neg.f64 l))) (.f64 (neg.f64 (sin.f64 M)) (pow.f64 (+.f64 m n) 3))) (.f64 (cos.f64 M) (exp.f64 (neg.f64 l))))))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 (*.f64 1/2 K) (+.f64 m n)) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (fma.f64 (.f64 1/2 K) (+.f64 m n) (neg.f64 M))))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 (*.f64 1/2 K) (+.f64 m n)) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (fma.f64 (.f64 1/2 K) (+.f64 m n) (neg.f64 M))))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 (*.f64 1/2 K) (+.f64 m n)) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (fma.f64 (.f64 1/2 K) (+.f64 m n) (neg.f64 M))))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 (*.f64 1/2 K) (+.f64 m n)) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (fma.f64 (.f64 1/2 K) (+.f64 m n) (neg.f64 M))))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 (*.f64 1/2 K) (+.f64 m n)) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (fma.f64 (.f64 1/2 K) (+.f64 m n) (neg.f64 M))))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 (*.f64 1/2 K) (+.f64 m n)) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (fma.f64 (.f64 1/2 K) (+.f64 m n) (neg.f64 M))))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 (*.f64 1/2 K) (+.f64 m n)) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (fma.f64 (.f64 1/2 K) (+.f64 m n) (neg.f64 M))))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 (*.f64 1/2 K) (+.f64 m n)) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (fma.f64 (.f64 1/2 K) (+.f64 m n) (neg.f64 M))))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K n)) M)) (exp.f64 (neg.f64 l)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (fma.f64 K (.f64 n 1/2) (neg.f64 M))))
(+.f64 (.f64 -1/2 (.f64 K (.f64 m (.f64 (exp.f64 (neg.f64 l)) (sin.f64 (-.f64 (.f64 1/2 (.f64 K n)) M)))))) (.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K n)) M)) (exp.f64 (neg.f64 l))))
(fma.f64 -1/2 (.f64 K (.f64 m (.f64 (exp.f64 (neg.f64 l)) (sin.f64 (fma.f64 K (.f64 n 1/2) (neg.f64 M)))))) (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (fma.f64 K (.f64 n 1/2) (neg.f64 M)))))
(fma.f64 -1/2 (.f64 K (.f64 (.f64 m (exp.f64 (neg.f64 l))) (sin.f64 (fma.f64 K (.f64 n 1/2) (neg.f64 M))))) (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (fma.f64 K (.f64 n 1/2) (neg.f64 M)))))
(+.f64 (.f64 -1/2 (.f64 K (.f64 m (.f64 (exp.f64 (neg.f64 l)) (sin.f64 (-.f64 (.f64 1/2 (.f64 K n)) M)))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (pow.f64 m 2) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K n)) M)) (exp.f64 (neg.f64 l)))))) (.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K n)) M)) (exp.f64 (neg.f64 l)))))
(fma.f64 -1/2 (.f64 K (.f64 m (.f64 (exp.f64 (neg.f64 l)) (sin.f64 (fma.f64 K (.f64 n 1/2) (neg.f64 M)))))) (fma.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (fma.f64 K (.f64 n 1/2) (neg.f64 M)))) (pow.f64 m 2))) (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (fma.f64 K (.f64 n 1/2) (neg.f64 M))))))
(fma.f64 -1/2 (.f64 K (.f64 (.f64 m (exp.f64 (neg.f64 l))) (sin.f64 (fma.f64 K (.f64 n 1/2) (neg.f64 M))))) (fma.f64 (exp.f64 (neg.f64 l)) (cos.f64 (fma.f64 K (.f64 n 1/2) (neg.f64 M))) (.f64 (.f64 -1/8 (pow.f64 K 2)) (.f64 (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (fma.f64 K (.f64 n 1/2) (neg.f64 M)))) (pow.f64 m 2)))))
(+.f64 (.f64 -1/2 (.f64 K (.f64 m (.f64 (exp.f64 (neg.f64 l)) (sin.f64 (-.f64 (.f64 1/2 (.f64 K n)) M)))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (pow.f64 m 2) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K n)) M)) (exp.f64 (neg.f64 l)))))) (+.f64 (.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (pow.f64 m 3) (.f64 (exp.f64 (neg.f64 l)) (sin.f64 (-.f64 (.f64 1/2 (.f64 K n)) M)))))) (.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K n)) M)) (exp.f64 (neg.f64 l))))))
(fma.f64 -1/2 (.f64 K (.f64 m (.f64 (exp.f64 (neg.f64 l)) (sin.f64 (fma.f64 K (.f64 n 1/2) (neg.f64 M)))))) (fma.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (fma.f64 K (.f64 n 1/2) (neg.f64 M)))) (pow.f64 m 2))) (fma.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (.f64 (pow.f64 m 3) (exp.f64 (neg.f64 l))) (sin.f64 (fma.f64 K (.f64 n 1/2) (neg.f64 M))))) (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (fma.f64 K (.f64 n 1/2) (neg.f64 M)))))))
(fma.f64 -1/2 (.f64 K (.f64 (.f64 m (exp.f64 (neg.f64 l))) (sin.f64 (fma.f64 K (.f64 n 1/2) (neg.f64 M))))) (fma.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (fma.f64 K (.f64 n 1/2) (neg.f64 M)))) (pow.f64 m 2))) (fma.f64 (exp.f64 (neg.f64 l)) (cos.f64 (fma.f64 K (.f64 n 1/2) (neg.f64 M))) (.f64 (.f64 1/48 (pow.f64 K 3)) (.f64 (.f64 (pow.f64 m 3) (exp.f64 (neg.f64 l))) (sin.f64 (fma.f64 K (.f64 n 1/2) (neg.f64 M))))))))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 (*.f64 1/2 K) (+.f64 m n)) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (fma.f64 (.f64 1/2 K) (+.f64 m n) (neg.f64 M))))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 (*.f64 1/2 K) (+.f64 m n)) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (fma.f64 (.f64 1/2 K) (+.f64 m n) (neg.f64 M))))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 (*.f64 1/2 K) (+.f64 m n)) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (fma.f64 (.f64 1/2 K) (+.f64 m n) (neg.f64 M))))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 (*.f64 1/2 K) (+.f64 m n)) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (fma.f64 (.f64 1/2 K) (+.f64 m n) (neg.f64 M))))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (.f64 -1 m)))) M)) (exp.f64 (neg.f64 l)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 (*.f64 1/2 K) (+.f64 m n)) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (fma.f64 (.f64 1/2 K) (+.f64 m n) (neg.f64 M))))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (.f64 -1 m)))) M)) (exp.f64 (neg.f64 l)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 (*.f64 1/2 K) (+.f64 m n)) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (fma.f64 (.f64 1/2 K) (+.f64 m n) (neg.f64 M))))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (.f64 -1 m)))) M)) (exp.f64 (neg.f64 l)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 (*.f64 1/2 K) (+.f64 m n)) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (fma.f64 (.f64 1/2 K) (+.f64 m n) (neg.f64 M))))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (.f64 -1 m)))) M)) (exp.f64 (neg.f64 l)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 (*.f64 1/2 K) (+.f64 m n)) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (fma.f64 (.f64 1/2 K) (+.f64 m n) (neg.f64 M))))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)) (exp.f64 (neg.f64 l)))
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(fma.f64 -1/2 (.f64 K (.f64 (.f64 n (exp.f64 (neg.f64 l))) (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)))) (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))))
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(fma.f64 -1/2 (.f64 K (.f64 n (.f64 (exp.f64 (neg.f64 l)) (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))))) (fma.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))) (pow.f64 n 2))) (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 m 1/2)) M)))))
(fma.f64 -1/2 (.f64 K (.f64 (.f64 n (exp.f64 (neg.f64 l))) (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)))) (fma.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 (.f64 -1/8 (pow.f64 K 2)) (.f64 (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 m 1/2)) M))) (pow.f64 n 2)))))
(+.f64 (.f64 -1/2 (.f64 K (.f64 n (.f64 (exp.f64 (neg.f64 l)) (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (pow.f64 n 2) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (exp.f64 (neg.f64 l)))))) (+.f64 (.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (pow.f64 n 3) (.f64 (exp.f64 (neg.f64 l)) (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))))) (.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)) (exp.f64 (neg.f64 l))))))
(fma.f64 -1/2 (.f64 K (.f64 n (.f64 (exp.f64 (neg.f64 l)) (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))))) (fma.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))) (pow.f64 n 2))) (fma.f64 1/48 (.f64 (pow.f64 (.f64 K n) 3) (.f64 (exp.f64 (neg.f64 l)) (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)))) (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))))))
(fma.f64 -1/2 (.f64 K (.f64 (.f64 n (exp.f64 (neg.f64 l))) (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)))) (fma.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))) (pow.f64 n 2))) (fma.f64 1/48 (.f64 (pow.f64 (.f64 K n) 3) (.f64 (exp.f64 (neg.f64 l)) (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)))) (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))))))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 (*.f64 1/2 K) (+.f64 m n)) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (fma.f64 (.f64 1/2 K) (+.f64 m n) (neg.f64 M))))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 (*.f64 1/2 K) (+.f64 m n)) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (fma.f64 (.f64 1/2 K) (+.f64 m n) (neg.f64 M))))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
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(.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))) (exp.f64 (fma.f64 -1 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) (-.f64 (fabs.f64 (-.f64 n m)) l))))
(cbrt.f64 (.f64 (pow.f64 (exp.f64 (-.f64 (neg.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))) 3) (pow.f64 (fma.f64 -1/2 (.f64 K (.f64 n (sin.f64 (-.f64 (.f64 (.f64 K m) 1/2) M)))) (cos.f64 (-.f64 (.f64 (*.f64 K m) 1/2) M))) 3)))
(.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))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2)) (-.f64 l (fabs.f64 (-.f64 n m))))))
(.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))) (exp.f64 (fma.f64 -1 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) (-.f64 (fabs.f64 (-.f64 n m)) l))))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 -1/2 (.f64 K (.f64 n (sin.f64 (-.f64 (.f64 (.f64 K m) 1/2) M)))) (cos.f64 (-.f64 (.f64 (*.f64 K m) 1/2) M))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2)) (-.f64 l (fabs.f64 (-.f64 m 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))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2)) (-.f64 l (fabs.f64 (-.f64 n m))))))
(.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))) (exp.f64 (fma.f64 -1 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) (-.f64 (fabs.f64 (-.f64 n m)) l))))
(exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2)) (-.f64 l (fabs.f64 (-.f64 m n)))) (log.f64 (fma.f64 -1/2 (.f64 K (.f64 n (sin.f64 (-.f64 (.f64 (.f64 K m) 1/2) M)))) (cos.f64 (-.f64 (.f64 (.f64 K m) 1/2) M))))))
(.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))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2)) (-.f64 l (fabs.f64 (-.f64 n m))))))
(.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))) (exp.f64 (fma.f64 -1 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) (-.f64 (fabs.f64 (-.f64 n m)) l))))
(exp.f64 (.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2)) (-.f64 l (fabs.f64 (-.f64 m n)))) (log.f64 (fma.f64 -1/2 (.f64 K (.f64 n (sin.f64 (-.f64 (.f64 (.f64 K m) 1/2) M)))) (cos.f64 (-.f64 (.f64 (*.f64 K m) 1/2) M))))) 1))
(.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))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2)) (-.f64 l (fabs.f64 (-.f64 n m))))))
(.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))) (exp.f64 (fma.f64 -1 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) (-.f64 (fabs.f64 (-.f64 n m)) l))))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 -1/2 (.f64 K (.f64 n (sin.f64 (-.f64 (.f64 (.f64 K m) 1/2) M)))) (cos.f64 (-.f64 (.f64 (*.f64 K m) 1/2) M))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2)) (-.f64 l (fabs.f64 (-.f64 m 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))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2)) (-.f64 l (fabs.f64 (-.f64 n m))))))
(.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))) (exp.f64 (fma.f64 -1 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) (-.f64 (fabs.f64 (-.f64 n m)) l))))
(-.f64 (exp.f64 (log1p.f64 (.f64 K (.f64 n (sin.f64 (-.f64 (.f64 (.f64 K m) 1/2) M)))))) 1)
(.f64 (.f64 K n) (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)))
(pow.f64 (.f64 K (.f64 n (sin.f64 (-.f64 (.f64 (.f64 K m) 1/2) M)))) 1)
(.f64 (.f64 K n) (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)))
(pow.f64 (cbrt.f64 (.f64 K (.f64 n (sin.f64 (-.f64 (.f64 (.f64 K m) 1/2) M))))) 3)
(.f64 (.f64 K n) (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)))
(pow.f64 (pow.f64 (.f64 K (.f64 n (sin.f64 (-.f64 (.f64 (.f64 K m) 1/2) M)))) 3) 1/3)
(.f64 (.f64 K n) (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)))
(pow.f64 (sqrt.f64 (.f64 K (.f64 n (sin.f64 (-.f64 (.f64 (.f64 K m) 1/2) M))))) 2)
(.f64 (.f64 K n) (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)))
(log.f64 (pow.f64 (exp.f64 K) (.f64 n (sin.f64 (-.f64 (.f64 (*.f64 K m) 1/2) M)))))
(.f64 (.f64 K n) (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 K (.f64 n (sin.f64 (-.f64 (.f64 (.f64 K m) 1/2) M)))))))
(.f64 (.f64 K n) (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)))
(cbrt.f64 (pow.f64 (.f64 K (.f64 n (sin.f64 (-.f64 (.f64 (.f64 K m) 1/2) M)))) 3))
(.f64 (.f64 K n) (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 (-.f64 (.f64 (.f64 K m) 1/2) M)) 3) (pow.f64 (.f64 K n) 3)))
(.f64 (.f64 K n) (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)))
(cbrt.f64 (.f64 (pow.f64 (.f64 K n) 3) (pow.f64 (sin.f64 (-.f64 (.f64 (.f64 K m) 1/2) M)) 3)))
(.f64 (.f64 K n) (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)))
(expm1.f64 (log1p.f64 (.f64 K (.f64 n (sin.f64 (-.f64 (.f64 (.f64 K m) 1/2) M))))))
(.f64 (.f64 K n) (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)))
(exp.f64 (log.f64 (.f64 K (.f64 n (sin.f64 (-.f64 (.f64 (.f64 K m) 1/2) M))))))
(.f64 (.f64 K n) (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)))
(exp.f64 (.f64 (log.f64 (.f64 K (.f64 n (sin.f64 (-.f64 (.f64 (*.f64 K m) 1/2) M))))) 1))
(.f64 (.f64 K n) (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)))
(log1p.f64 (expm1.f64 (.f64 K (.f64 n (sin.f64 (-.f64 (.f64 (.f64 K m) 1/2) M))))))
(.f64 (.f64 K n) (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)))

eval2.2s (11.5%)

Compiler: Compiled 96604 to 51961 computations (46.2% saved)

prune719.0ms (3.8%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	2574	16	2590
Fresh	7	0	7
Picked	5	0	5
Done	0	0	0
Total	2586	16	2602

Accuracy

98.8%

Counts

2602 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	30.0%	(.f64 (+.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))))) (exp.f64 (neg.f64 l)))
	30.5%	(.f64 (+.f64 (cos.f64 M) (.f64 -1/2 (.f64 (.f64 K (neg.f64 (sin.f64 M))) (+.f64 m n)))) (exp.f64 (neg.f64 l)))
	28.1%	(.f64 (cos.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (/.f64 K 2) (+.f64 m n)) M)) 3)) (exp.f64 (neg.f64 l)))
	30.7%	(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 n)) M)) (exp.f64 (neg.f64 l)))
▶	32.2%	(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 m)) M)) (exp.f64 (neg.f64 l)))
	21.1%	(*.f64 (cos.f64 (-.f64 (/.f64 K (expm1.f64 (log1p.f64 (/.f64 2 (+.f64 m n))))) M)) (exp.f64 (neg.f64 l)))
	28.2%	(.f64 (cos.f64 (-.f64 (.f64 (neg.f64 K) (/.f64 1 (/.f64 -2 (+.f64 m n)))) M)) (exp.f64 (neg.f64 l)))
	34.7%	(.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (exp.f64 (.f64 (pow.f64 n 2) -1/4)))
	31.0%	(.f64 (cos.f64 (.f64 K (*.f64 n 1/2))) (exp.f64 (neg.f64 l)))
	31.7%	(.f64 (cos.f64 (.f64 K (*.f64 m 1/2))) (exp.f64 (neg.f64 l)))
	49.1%	(.f64 (cos.f64 M) (exp.f64 (.f64 (pow.f64 n 2) -1/4)))
▶	55.6%	(.f64 (cos.f64 M) (exp.f64 (.f64 (pow.f64 m 2) -1/4)))
	51.3%	(*.f64 (cos.f64 M) (exp.f64 (neg.f64 (pow.f64 M 2))))
	36.3%	(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
▶	70.1%	(.f64 -1/2 (.f64 (.f64 K n) (.f64 (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)) l)))))
▶	4.9%	(cos.f64 (-.f64 (.f64 (.f64 1/2 K) (+.f64 m n)) M))
▶	30.0%	(.f64 (+.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))))) (exp.f64 (neg.f64 l)))
	30.5%	(.f64 (+.f64 (cos.f64 M) (.f64 -1/2 (.f64 (.f64 K (neg.f64 (sin.f64 M))) (+.f64 m n)))) (exp.f64 (neg.f64 l)))
	28.1%	(.f64 (cos.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (/.f64 K 2) (+.f64 m n)) M)) 3)) (exp.f64 (neg.f64 l)))
	30.7%	(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 n)) M)) (exp.f64 (neg.f64 l)))
▶	32.2%	(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 m)) M)) (exp.f64 (neg.f64 l)))
	21.1%	(*.f64 (cos.f64 (-.f64 (/.f64 K (expm1.f64 (log1p.f64 (/.f64 2 (+.f64 m n))))) M)) (exp.f64 (neg.f64 l)))
	28.2%	(.f64 (cos.f64 (-.f64 (.f64 (neg.f64 K) (/.f64 1 (/.f64 -2 (+.f64 m n)))) M)) (exp.f64 (neg.f64 l)))
	34.7%	(.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (exp.f64 (.f64 (pow.f64 n 2) -1/4)))
	31.0%	(.f64 (cos.f64 (.f64 K (*.f64 n 1/2))) (exp.f64 (neg.f64 l)))
	31.7%	(.f64 (cos.f64 (.f64 K (*.f64 m 1/2))) (exp.f64 (neg.f64 l)))
	49.1%	(.f64 (cos.f64 M) (exp.f64 (.f64 (pow.f64 n 2) -1/4)))
▶	55.6%	(.f64 (cos.f64 M) (exp.f64 (.f64 (pow.f64 m 2) -1/4)))
	51.3%	(*.f64 (cos.f64 M) (exp.f64 (neg.f64 (pow.f64 M 2))))
	36.3%	(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
▶	70.1%	(.f64 -1/2 (.f64 (.f64 K n) (.f64 (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)) l)))))
▶	4.9%	(cos.f64 (-.f64 (.f64 (.f64 1/2 K) (+.f64 m n)) M))

Compiler

Compiled 1232 to 948 computations (23.1% saved)

localize1.6s (8.3%)

Localize:

Found 16 expressions with local error:

New	Accuracy	Program
	98.2%	(.f64 (.f64 K n) (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)))
✓	95.8%	(.f64 (+.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))))) (exp.f64 (neg.f64 l)))
	50.2%	(sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
	49.4%	(cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
	100.0%	(cos.f64 M)
✓	100.0%	(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 m)) M)) (exp.f64 (neg.f64 l)))
✓	100.0%	(-.f64 (/.f64 K (/.f64 2 m)) M)
✓	99.6%	(/.f64 K (/.f64 2 m))
✓	49.4%	(cos.f64 (-.f64 (/.f64 K (/.f64 2 m)) M))
✓	100.0%	(-.f64 (.f64 (.f64 1/2 K) (+.f64 m n)) M)
✓	100.0%	(.f64 (.f64 1/2 K) (+.f64 m n))
✓	35.9%	(cos.f64 (-.f64 (.f64 (.f64 1/2 K) (+.f64 m n)) M))
✓	100.0%	(-.f64 (.f64 K (.f64 m 1/2)) M)
✓	100.0%	(pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)
✓	84.0%	(.f64 (.f64 K n) (.f64 (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) l))))
	50.2%	(sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))

Compiler

Compiled 439 to 226 computations (48.5% saved)

series52.0ms (0.3%)

Counts

11 → 468

Calls

117 calls:

Time	Variable		Point	Expression
4.0ms	m	@	0	(.f64 (.f64 K n) (.f64 (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) l))))
3.0ms	K	@	0	(.f64 (.f64 K n) (.f64 (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) l))))
2.0ms	m	@	inf	(/.f64 K (/.f64 2 m))
2.0ms	M	@	0	(.f64 (.f64 K n) (.f64 (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) l))))
2.0ms	n	@	0	(.f64 (.f64 K n) (.f64 (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) l))))

rewrite122.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

437×	`log1p-expm1-u`
437×	`expm1-log1p-u`
428×	`add-exp-log`
428×	`add-log-exp`
428×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	530
1	893	526

Stop Event

1×	node limit

Counts

11 → 231

Calls

Call 1

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

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

simplify294.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1858×	`fma-def`
698×	`*-commutative`
536×	`distribute-lft-in`
534×	`distribute-rgt-in`
520×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1066	48132
1	3055	46256

Stop Event

1×	node limit

Counts

699 → 556

Calls

Call 1

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

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

eval517.0ms (2.7%)

Compiler: Compiled 35640 to 19423 computations (45.5% saved)

prune216.0ms (1.1%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	943	10	953
Fresh	5	6	11
Picked	3	2	5
Done	0	0	0
Total	951	18	969

Accuracy

98.8%

Counts

969 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.0%	(+.f64 (cos.f64 M) (.f64 -1/2 (.f64 (*.f64 K (neg.f64 (sin.f64 M))) (+.f64 n m))))
▶	30.7%	(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 n)) M)) (exp.f64 (neg.f64 l)))
✓	32.2%	(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 m)) M)) (exp.f64 (neg.f64 l)))
	31.0%	(.f64 (cos.f64 (.f64 K (*.f64 n 1/2))) (exp.f64 (neg.f64 l)))
	31.7%	(.f64 (cos.f64 (.f64 K (*.f64 m 1/2))) (exp.f64 (neg.f64 l)))
▶	49.1%	(.f64 (cos.f64 M) (exp.f64 (.f64 (pow.f64 n 2) -1/4)))
	51.3%	(*.f64 (cos.f64 M) (exp.f64 (neg.f64 (pow.f64 M 2))))
▶	36.3%	(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
	55.5%	(.f64 1 (exp.f64 (.f64 (pow.f64 m 2) -1/4)))
	68.9%	(.f64 -1/2 (.f64 (.f64 K n) (.f64 (sin.f64 (pow.f64 (cbrt.f64 (fma.f64 K (.f64 m 1/2) (neg.f64 M))) 3)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) l)))))
▶	69.7%	(.f64 -1/2 (.f64 (.f64 K n) (.f64 (log1p.f64 (expm1.f64 (sin.f64 (-.f64 (.f64 (.f64 K m) 1/2) M)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)) l)))))
	34.3%	(.f64 -1/2 (.f64 K (.f64 n (.f64 (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (exp.f64 (neg.f64 l))))))
	2.2%	(cos.f64 (-.f64 (pow.f64 (sqrt.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) 2) M))
✓	4.9%	(cos.f64 (-.f64 (.f64 (.f64 1/2 K) (+.f64 m n)) M))
	5.2%	(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
	5.2%	(cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
	4.9%	(cos.f64 (.f64 K (.f64 1/2 (+.f64 n m))))
▶	5.6%	(cos.f64 M)
	5.0%	(+.f64 (cos.f64 M) (.f64 -1/2 (.f64 (*.f64 K (neg.f64 (sin.f64 M))) (+.f64 n m))))
▶	30.7%	(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 n)) M)) (exp.f64 (neg.f64 l)))
✓	32.2%	(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 m)) M)) (exp.f64 (neg.f64 l)))
	31.0%	(.f64 (cos.f64 (.f64 K (*.f64 n 1/2))) (exp.f64 (neg.f64 l)))
	31.7%	(.f64 (cos.f64 (.f64 K (*.f64 m 1/2))) (exp.f64 (neg.f64 l)))
▶	49.1%	(.f64 (cos.f64 M) (exp.f64 (.f64 (pow.f64 n 2) -1/4)))
	51.3%	(*.f64 (cos.f64 M) (exp.f64 (neg.f64 (pow.f64 M 2))))
▶	36.3%	(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
	55.5%	(.f64 1 (exp.f64 (.f64 (pow.f64 m 2) -1/4)))
	68.9%	(.f64 -1/2 (.f64 (.f64 K n) (.f64 (sin.f64 (pow.f64 (cbrt.f64 (fma.f64 K (.f64 m 1/2) (neg.f64 M))) 3)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) l)))))
▶	69.7%	(.f64 -1/2 (.f64 (.f64 K n) (.f64 (log1p.f64 (expm1.f64 (sin.f64 (-.f64 (.f64 (.f64 K m) 1/2) M)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)) l)))))
	34.3%	(.f64 -1/2 (.f64 K (.f64 n (.f64 (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (exp.f64 (neg.f64 l))))))
	2.2%	(cos.f64 (-.f64 (pow.f64 (sqrt.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) 2) M))
✓	4.9%	(cos.f64 (-.f64 (.f64 (.f64 1/2 K) (+.f64 m n)) M))
	5.2%	(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
	5.2%	(cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
	4.9%	(cos.f64 (.f64 K (.f64 1/2 (+.f64 n m))))
▶	5.6%	(cos.f64 M)

Compiler

Compiled 1196 to 924 computations (22.7% saved)

localize1.5s (7.8%)

Localize:

Found 10 expressions with local error:

New	Accuracy	Program
	100.0%	(cos.f64 M)
✓	100.0%	(-.f64 (/.f64 K (/.f64 2 n)) M)
✓	99.7%	(/.f64 K (/.f64 2 n))
✓	51.4%	(cos.f64 (-.f64 (/.f64 K (/.f64 2 n)) M))
	100.0%	(cos.f64 M)
	100.0%	(cos.f64 M)
✓	99.6%	(expm1.f64 (sin.f64 (-.f64 (.f64 (.f64 K m) 1/2) M)))
✓	99.5%	(log1p.f64 (expm1.f64 (sin.f64 (-.f64 (.f64 (.f64 K m) 1/2) M))))
✓	84.0%	(.f64 (.f64 K n) (.f64 (log1p.f64 (expm1.f64 (sin.f64 (-.f64 (.f64 (.f64 K m) 1/2) M)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) l))))
✓	50.2%	(sin.f64 (-.f64 (.f64 (.f64 K m) 1/2) M))

Compiler

Compiled 323 to 158 computations (51.1% saved)

series18.0ms (0.1%)

Counts

7 → 264

Calls

66 calls:

Time	Variable		Expression
2.0ms	M	@	(.f64 (.f64 K n) (.f64 (log1p.f64 (expm1.f64 (sin.f64 (-.f64 (.f64 (.f64 K m) 1/2) M)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) l))))
1.0ms	m	@	(.f64 (.f64 K n) (.f64 (log1p.f64 (expm1.f64 (sin.f64 (-.f64 (.f64 (.f64 K m) 1/2) M)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) l))))
1.0ms	K	@	(expm1.f64 (sin.f64 (-.f64 (.f64 (.f64 K m) 1/2) M)))
1.0ms	M	@	(expm1.f64 (sin.f64 (-.f64 (.f64 (.f64 K m) 1/2) M)))
1.0ms	m	@	(expm1.f64 (sin.f64 (-.f64 (.f64 (.f64 K m) 1/2) M)))

rewrite84.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

316×	`log1p-expm1-u`
315×	`expm1-log1p-u`
308×	`add-cube-cbrt`
306×	`add-exp-log`
306×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	303
1	642	299

Stop Event

1×	node limit

Counts

7 → 170

Calls

Call 1

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

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

simplify331.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1450×	`fma-def`
822×	`fma-neg`
522×	`*-commutative`
506×	`+-commutative`
484×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	804	32705
1	2487	31488
2	6996	31268

Stop Event

1×	node limit

Counts

434 → 364

Calls

Call 1

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

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

eval311.0ms (1.6%)

Compiler: Compiled 19927 to 11328 computations (43.2% saved)

prune128.0ms (0.7%)

Pruning

24 alts after pruning (20 fresh and 4 done)

	Pruned	Kept	Total
New	570	10	580
Fresh	1	10	11
Picked	2	3	5
Done	1	1	2
Total	574	24	598

Accuracy

98.8%

Counts

598 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.6%	(pow.f64 (cbrt.f64 (cos.f64 M)) 3)
	5.0%	(+.f64 (cos.f64 M) (.f64 -1/2 (.f64 (*.f64 K (neg.f64 (sin.f64 M))) (+.f64 n m))))
	5.0%	(+.f64 1 (*.f64 -1/2 (pow.f64 M 2)))
	30.6%	(.f64 (fabs.f64 (cos.f64 (fma.f64 1/2 (.f64 K n) (neg.f64 M)))) (exp.f64 (neg.f64 l)))
✓	30.7%	(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 n)) M)) (exp.f64 (neg.f64 l)))
✓	32.2%	(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 m)) M)) (exp.f64 (neg.f64 l)))
	31.0%	(.f64 (cos.f64 (.f64 K (*.f64 n 1/2))) (exp.f64 (neg.f64 l)))
	51.3%	(*.f64 (cos.f64 M) (exp.f64 (neg.f64 (pow.f64 M 2))))
✓	36.3%	(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
	49.1%	(.f64 1 (exp.f64 (.f64 (pow.f64 n 2) -1/4)))
	55.5%	(.f64 1 (exp.f64 (.f64 (pow.f64 m 2) -1/4)))
	35.6%	(*.f64 1 (exp.f64 (neg.f64 l)))
	68.9%	(.f64 -1/2 (.f64 (.f64 K n) (.f64 (sin.f64 (pow.f64 (cbrt.f64 (fma.f64 K (.f64 m 1/2) (neg.f64 M))) 3)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) l)))))
	70.1%	(.f64 -1/2 (.f64 (.f64 K n) (.f64 (log1p.f64 (expm1.f64 (sin.f64 (.f64 K (.f64 1/2 m))))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)) l)))))
	34.3%	(.f64 -1/2 (.f64 K (.f64 n (.f64 (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (exp.f64 (neg.f64 l))))))
	70.1%	(.f64 -1/2 (log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 K n) (.f64 (sin.f64 (fma.f64 K (.f64 m 1/2) (neg.f64 M))) (exp.f64 (-.f64 (-.f64 n m) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2) l)))))))))
	5.6%	(log1p.f64 (expm1.f64 (cos.f64 M)))
	2.2%	(cos.f64 (-.f64 (pow.f64 (sqrt.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) 2) M))
	5.2%	(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
	5.2%	(cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
	4.9%	(cos.f64 (.f64 K (.f64 1/2 (+.f64 n m))))
✓	5.6%	(cos.f64 M)
	5.6%	(cbrt.f64 (pow.f64 (cos.f64 M) 3))
	5.6%	1

Compiler

Compiled 1268 to 794 computations (37.4% saved)

regimes197.0ms (1%)

Counts

50 → 1

Calls

Call 1

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

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

Calls

6 calls:

59.0ms	M
30.0ms	m
29.0ms	l
28.0ms	K
27.0ms	n

Results

Accuracy	Segments	Branch
97.1%	1	`K`
97.1%	1	`m`
97.1%	1	`n`
97.1%	1	`M`
97.1%	1	`l`
97.1%	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 935 to 528 computations (43.5% saved)

regimes717.0ms (3.8%)

Counts

35 → 4

Calls

Call 1

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

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

Calls

5 calls:

205.0ms	l
153.0ms	K
136.0ms	M
112.0ms	n
89.0ms	m

Results

Accuracy	Segments	Branch
65.0%	9	`K`
82.0%	4	`m`
83.1%	7	`n`
79.4%	7	`M`
74.8%	9	`l`

Compiler

Compiled 422 to 252 computations (40.3% saved)

regimes83.0ms (0.4%)

Counts

31 → 4

Calls

Call 1

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

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

Calls

1 calls:

74.0ms

Results

Accuracy	Segments	Branch
81.6%	4	`m`

Compiler

Compiled 325 to 193 computations (40.6% saved)

regimes67.0ms (0.4%)

Counts

24 → 4

Calls

Call 1

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

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

Calls

1 calls:

60.0ms

Results

Accuracy	Segments	Branch
81.6%	4	`m`

Compiler

Compiled 220 to 131 computations (40.5% saved)

regimes64.0ms (0.3%)

Counts

23 → 4

Calls

Call 1

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

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

Calls

1 calls:

58.0ms

Results

Accuracy	Segments	Branch
81.6%	4	`m`

Compiler

Compiled 211 to 125 computations (40.8% saved)

regimes53.0ms (0.3%)

Counts

22 → 3

Calls

Call 1

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

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

Calls

1 calls:

47.0ms

Results

Accuracy	Segments	Branch
79.0%	3	`m`

Compiler

Compiled 203 to 120 computations (40.9% saved)

regimes39.0ms (0.2%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

1 calls:

35.0ms

Results

Accuracy	Segments	Branch
79.0%	3	`m`

Compiler

Compiled 114 to 74 computations (35.1% saved)

regimes66.0ms (0.4%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

3 calls:

24.0ms	m
20.0ms	M
19.0ms	n

Results

Accuracy	Segments	Branch
57.8%	3	`M`
59.3%	3	`n`
72.1%	3	`m`

Compiler

Compiled 86 to 61 computations (29.1% saved)

regimes41.0ms (0.2%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

5 calls:

12.0ms	M
8.0ms	l
6.0ms	m
6.0ms	K
6.0ms	n

Results

Accuracy	Segments	Branch
36.3%	1	`K`
36.3%	1	`M`
36.3%	1	`n`
36.3%	1	`l`
36.3%	1	`m`

Compiler

Compiled 90 to 64 computations (28.9% saved)

regimes34.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

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

Outputs
(*.f64 1 (exp.f64 (neg.f64 l)))

Calls

5 calls:

7.0ms	m
7.0ms	l
6.0ms	n
6.0ms	M
6.0ms	K

Results

Accuracy	Segments	Branch
35.6%	1	`K`
35.6%	1	`M`
35.6%	1	`m`
35.6%	1	`n`
35.6%	1	`l`

Compiler

Compiled 84 to 63 computations (25% saved)

regimes99.0ms (0.5%)

Counts

2 → 1

Calls

Call 1

Inputs
1
(cos.f64 M)

Outputs
(cos.f64 M)

Calls

5 calls:

85.0ms	n
3.0ms	m
3.0ms	M
3.0ms	K
3.0ms	l

Results

Accuracy	Segments	Branch
5.6%	1	`K`
5.6%	1	`m`
5.6%	1	`M`
5.6%	1	`n`
5.6%	1	`l`

Compiler

Compiled 38 to 32 computations (15.8% saved)

regimes16.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
1

Outputs
1

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
5.6%	1	`K`
5.6%	1	`m`
5.6%	1	`M`
5.6%	1	`n`
5.6%	1	`l`

Compiler

Compiled 36 to 31 computations (13.9% saved)

bsearch100.0ms (0.5%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
38.0ms	2.4173967405823573e-303	2.740514726428355e-287
31.0ms	-8.955929175642999e-57	-1.1378710346457643e-60
31.0ms	-5.632865974238514e-10	-3.26670256949876e-13

Results

70.0ms	346×	body	256	valid
7.0ms	35×	body	256	infinite
6.0ms	10×	body	1024	valid
4.0ms	11×	body	512	infinite
2.0ms	5×	body	1024	infinite
2.0ms	6×	body	512	valid
2.0ms	3×	body	2048	infinite

Compiler

Compiled 1092 to 864 computations (20.9% saved)

bsearch137.0ms (0.7%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
54.0ms	2.4173967405823573e-303	2.740514726428355e-287
30.0ms	-2.9302925532723462e-68	-1.6797909689615184e-71
53.0ms	-0.3532862447086046	-5.632865974238514e-10

Results

91.0ms	371×	body	256	valid
5.0ms	27×	body	256	infinite
5.0ms	9×	body	1024	valid
5.0ms	13×	body	512	infinite
4.0ms	7×	body	1024	infinite
1.0ms	2×	body	2048	infinite
1.0ms	3×	body	512	valid

Compiler

Compiled 885 to 731 computations (17.4% saved)

bsearch75.0ms (0.4%)

Algorithm

3×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
3.0ms	2.4173967405823573e-303	2.740514726428355e-287
35.0ms	-2.9302925532723462e-68	-1.6797909689615184e-71
37.0ms	-0.3532862447086046	-5.632865974238514e-10

Results

53.0ms	243×	body	256	valid
6.0ms	11×	body	1024	infinite
4.0ms	7×	body	1024	valid
3.0ms	17×	body	256	infinite
2.0ms	5×	body	512	infinite
1.0ms	2×	body	2048	infinite
1.0ms	3×	body	512	valid

Compiler

Compiled 623 to 506 computations (18.8% saved)

bsearch98.0ms (0.5%)

Algorithm

3×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	2.4173967405823573e-303	2.740514726428355e-287
36.0ms	-2.9302925532723462e-68	-1.6797909689615184e-71
38.0ms	-0.3532862447086046	-5.632865974238514e-10

Results

68.0ms	303×	body	256	valid
7.0ms	12×	body	1024	valid
6.0ms	11×	body	1024	infinite
5.0ms	26×	body	256	infinite
4.0ms	12×	body	512	infinite
1.0ms	3×	body	512	valid
1.0ms	1×	body	2048	infinite

Compiler

Compiled 754 to 631 computations (16.3% saved)

bsearch105.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
38.0ms	-1.3663084028416138e-105	-2.9410554850352385e-109
67.0ms	-0.3532862447086046	-5.632865974238514e-10

Results

76.0ms	230×	body	256	valid
5.0ms	9×	body	1024	infinite
5.0ms	8×	body	1024	valid
4.0ms	18×	body	256	infinite
1.0ms	4×	body	512	valid
1.0ms	2×	body	512	infinite
1.0ms	1×	body	2048	infinite

Compiler

Compiled 586 to 489 computations (16.6% saved)

bsearch65.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
32.0ms	-1.3353271745761093e-96	-3.599364757800017e-100
33.0ms	-0.3532862447086046	-5.632865974238514e-10

Results

45.0ms	219×	body	256	valid
6.0ms	30×	body	256	infinite
3.0ms	5×	body	1024	infinite
2.0ms	7×	body	512	infinite
2.0ms	6×	body	512	valid
2.0ms	4×	body	1024	valid
1.0ms	1×	body	2048	infinite

Compiler

Compiled 484 to 421 computations (13% saved)

bsearch77.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
31.0ms	2.63494682657665e-36	9.676959009178575e-34
46.0ms	-0.3532862447086046	-5.632865974238514e-10

Results

56.0ms	230×	body	256	valid
8.0ms	12×	body	1024	valid
4.0ms	7×	body	1024	infinite
3.0ms	14×	body	256	infinite
2.0ms	5×	body	512	infinite
1.0ms	3×	body	512	valid
1.0ms	1×	body	2048	infinite

Compiler

Compiled 484 to 421 computations (13% saved)

simplify114.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

412×	`unsub-neg`
234×	`neg-mul-1`
224×	`distribute-lft-neg-in`
148×	`cancel-sign-sub`
128×	`distribute-neg-out`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	111	1160
1	160	1160
2	186	1160
3	212	1156
4	237	1156
5	254	1156
6	298	1156
7	462	1156
8	653	1156
9	671	1156
10	716	1156
11	794	1156
12	885	1156
13	969	1156
14	1048	1156
15	1089	1156
16	1132	1156
17	1147	1156
18	1159	1156
19	1160	1156

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 n m))))))
(if (<=.f64 m -332454600394023/604462909807314587353088) (.f64 (cos.f64 M) (exp.f64 (.f64 (pow.f64 m 2) -1/4))) (if (<=.f64 m -3250998599192227/3533694129556768659166595001485837031654967793751237916243212402585239552) (.f64 (+.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))))) (exp.f64 (neg.f64 l))) (if (<=.f64 m 1628655445366319/6032057205060440848842124543157735677050252251748505781796615064961622344493727293370973578138265743708225425014400837164813540499979063179105919597766951022193355091707896034850684039059079180396788349106095584290087446076413771468940477241550670753145517602931224392424029547429993824129889235158145614364972941312) (.f64 (cos.f64 M) (exp.f64 (neg.f64 (pow.f64 M 2)))) (.f64 (cos.f64 M) (exp.f64 (*.f64 (pow.f64 n 2) -1/4))))))
(if (<=.f64 m -3152519739159347/9007199254740992) (.f64 (cos.f64 M) (exp.f64 (.f64 (pow.f64 m 2) -1/4))) (if (<=.f64 m -3205403672172453/971334446112864535459730953411759453321203419526069760625906204869452142602604249088) (.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 n)) M)) (exp.f64 (neg.f64 l))) (if (<=.f64 m 4005662987735449/11781361728633673532894774498354952494238773929196300355071513798753168641589311119865182769801300280680127783231251635087526446289021607771691249214388576215221396663491984443067742263787264024212477244347842938066577043117995647400274369612403653814737339068225047641453182709824206687753689912418253153056587776) (.f64 (cos.f64 M) (exp.f64 (neg.f64 (pow.f64 M 2)))) (.f64 (cos.f64 M) (exp.f64 (.f64 (pow.f64 n 2) -1/4))))))
(if (<=.f64 m -3152519739159347/9007199254740992) (.f64 (cos.f64 M) (exp.f64 (.f64 (pow.f64 m 2) -1/4))) (if (<=.f64 m -1068467890724151/242833611528216133864932738352939863330300854881517440156476551217363035650651062272) (.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 n)) M)) (exp.f64 (neg.f64 l))) (if (<=.f64 m 6176826577981891/1544206644495472857303583883048380333324864576447617480139933456630175320190394187102969236003396030389305708803686614314192266367994640173851115417028339461681498903477221384921775113999124270181577817371160469578262386195561925496048762173836971712805252506350393444460551564142078418977251644200485277277433072975872) (.f64 (cos.f64 M) (exp.f64 (neg.f64 (pow.f64 M 2)))) (.f64 1 (exp.f64 (.f64 (pow.f64 n 2) -1/4))))))
(if (<=.f64 m -3152519739159347/9007199254740992) (.f64 1 (exp.f64 (.f64 (pow.f64 m 2) -1/4))) (if (<=.f64 m -1942668892225729/485667223056432267729865476705879726660601709763034880312953102434726071301302124544) (.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 n)) M)) (exp.f64 (neg.f64 l))) (if (<=.f64 m 3681675540198023/368167554019802297902961703073592265444961685287384386095984806211036520049665972495786961556290633771253993225976613596485201446531925242865351537949643006725668645734124513845866945743352000756639913885870091814580532597437363981258574050387614181710541845882032738795411959682006458992302809763070411033018368) (.f64 (cos.f64 M) (exp.f64 (neg.f64 (pow.f64 M 2)))) (.f64 1 (exp.f64 (.f64 (pow.f64 n 2) -1/4))))))
(if (<=.f64 m -3152519739159347/9007199254740992) (.f64 1 (exp.f64 (.f64 (pow.f64 m 2) -1/4))) (if (<=.f64 m -7643459639137249/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 n)) M)) (exp.f64 (neg.f64 l))) (.f64 1 (exp.f64 (*.f64 (pow.f64 n 2) -1/4)))))
(if (<=.f64 m -3152519739159347/9007199254740992) (.f64 1 (exp.f64 (.f64 (pow.f64 m 2) -1/4))) (if (<=.f64 m -1477575232364793/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176) (.f64 (cos.f64 M) (exp.f64 (neg.f64 l))) (.f64 1 (exp.f64 (*.f64 (pow.f64 n 2) -1/4)))))
(if (<=.f64 m -3152519739159347/9007199254740992) (.f64 1 (exp.f64 (.f64 (pow.f64 m 2) -1/4))) (if (<=.f64 m 5553706221857431/5846006549323611672814739330865132078623730171904) (.f64 (cos.f64 M) (exp.f64 (neg.f64 l))) (.f64 1 (exp.f64 (*.f64 (pow.f64 m 2) -1/4)))))
(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
(*.f64 1 (exp.f64 (neg.f64 l)))
(cos.f64 M)
1

Outputs
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 n m))))))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (+.f64 (fabs.f64 (-.f64 n m)) (neg.f64 l)) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(if (<=.f64 m -332454600394023/604462909807314587353088) (.f64 (cos.f64 M) (exp.f64 (.f64 (pow.f64 m 2) -1/4))) (if (<=.f64 m -3250998599192227/3533694129556768659166595001485837031654967793751237916243212402585239552) (.f64 (+.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))))) (exp.f64 (neg.f64 l))) (if (<=.f64 m 1628655445366319/6032057205060440848842124543157735677050252251748505781796615064961622344493727293370973578138265743708225425014400837164813540499979063179105919597766951022193355091707896034850684039059079180396788349106095584290087446076413771468940477241550670753145517602931224392424029547429993824129889235158145614364972941312) (.f64 (cos.f64 M) (exp.f64 (neg.f64 (pow.f64 M 2)))) (.f64 (cos.f64 M) (exp.f64 (*.f64 (pow.f64 n 2) -1/4))))))
(if (<=.f64 m -332454600394023/604462909807314587353088) (.f64 (cos.f64 M) (exp.f64 (.f64 (pow.f64 m 2) -1/4))) (if (<=.f64 m -3250998599192227/3533694129556768659166595001485837031654967793751237916243212402585239552) (.f64 (+.f64 (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 -1/2 (.f64 (.f64 n K) (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))))) (exp.f64 (neg.f64 l))) (if (<=.f64 m 1628655445366319/6032057205060440848842124543157735677050252251748505781796615064961622344493727293370973578138265743708225425014400837164813540499979063179105919597766951022193355091707896034850684039059079180396788349106095584290087446076413771468940477241550670753145517602931224392424029547429993824129889235158145614364972941312) (.f64 (cos.f64 M) (exp.f64 (neg.f64 (pow.f64 M 2)))) (.f64 (cos.f64 M) (exp.f64 (*.f64 -1/4 (pow.f64 n 2)))))))
(if (<=.f64 m -3152519739159347/9007199254740992) (.f64 (cos.f64 M) (exp.f64 (.f64 (pow.f64 m 2) -1/4))) (if (<=.f64 m -3205403672172453/971334446112864535459730953411759453321203419526069760625906204869452142602604249088) (.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 n)) M)) (exp.f64 (neg.f64 l))) (if (<=.f64 m 4005662987735449/11781361728633673532894774498354952494238773929196300355071513798753168641589311119865182769801300280680127783231251635087526446289021607771691249214388576215221396663491984443067742263787264024212477244347842938066577043117995647400274369612403653814737339068225047641453182709824206687753689912418253153056587776) (.f64 (cos.f64 M) (exp.f64 (neg.f64 (pow.f64 M 2)))) (.f64 (cos.f64 M) (exp.f64 (.f64 (pow.f64 n 2) -1/4))))))
(if (<=.f64 m -3152519739159347/9007199254740992) (.f64 (cos.f64 M) (exp.f64 (.f64 (pow.f64 m 2) -1/4))) (if (<=.f64 m -3205403672172453/971334446112864535459730953411759453321203419526069760625906204869452142602604249088) (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (/.f64 K (/.f64 2 n)) M))) (if (<=.f64 m 4005662987735449/11781361728633673532894774498354952494238773929196300355071513798753168641589311119865182769801300280680127783231251635087526446289021607771691249214388576215221396663491984443067742263787264024212477244347842938066577043117995647400274369612403653814737339068225047641453182709824206687753689912418253153056587776) (.f64 (cos.f64 M) (exp.f64 (neg.f64 (pow.f64 M 2)))) (.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (pow.f64 n 2)))))))
(if (<=.f64 m -3152519739159347/9007199254740992) (.f64 (cos.f64 M) (exp.f64 (.f64 (pow.f64 m 2) -1/4))) (if (<=.f64 m -1068467890724151/242833611528216133864932738352939863330300854881517440156476551217363035650651062272) (.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 n)) M)) (exp.f64 (neg.f64 l))) (if (<=.f64 m 6176826577981891/1544206644495472857303583883048380333324864576447617480139933456630175320190394187102969236003396030389305708803686614314192266367994640173851115417028339461681498903477221384921775113999124270181577817371160469578262386195561925496048762173836971712805252506350393444460551564142078418977251644200485277277433072975872) (.f64 (cos.f64 M) (exp.f64 (neg.f64 (pow.f64 M 2)))) (.f64 1 (exp.f64 (.f64 (pow.f64 n 2) -1/4))))))
(if (<=.f64 m -3152519739159347/9007199254740992) (.f64 (cos.f64 M) (exp.f64 (.f64 (pow.f64 m 2) -1/4))) (if (<=.f64 m -1068467890724151/242833611528216133864932738352939863330300854881517440156476551217363035650651062272) (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (/.f64 K (/.f64 2 n)) M))) (if (<=.f64 m 6176826577981891/1544206644495472857303583883048380333324864576447617480139933456630175320190394187102969236003396030389305708803686614314192266367994640173851115417028339461681498903477221384921775113999124270181577817371160469578262386195561925496048762173836971712805252506350393444460551564142078418977251644200485277277433072975872) (.f64 (cos.f64 M) (exp.f64 (neg.f64 (pow.f64 M 2)))) (exp.f64 (*.f64 -1/4 (pow.f64 n 2))))))
(if (<=.f64 m -3152519739159347/9007199254740992) (.f64 1 (exp.f64 (.f64 (pow.f64 m 2) -1/4))) (if (<=.f64 m -1942668892225729/485667223056432267729865476705879726660601709763034880312953102434726071301302124544) (.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 n)) M)) (exp.f64 (neg.f64 l))) (if (<=.f64 m 3681675540198023/368167554019802297902961703073592265444961685287384386095984806211036520049665972495786961556290633771253993225976613596485201446531925242865351537949643006725668645734124513845866945743352000756639913885870091814580532597437363981258574050387614181710541845882032738795411959682006458992302809763070411033018368) (.f64 (cos.f64 M) (exp.f64 (neg.f64 (pow.f64 M 2)))) (.f64 1 (exp.f64 (.f64 (pow.f64 n 2) -1/4))))))
(if (<=.f64 m -3152519739159347/9007199254740992) (exp.f64 (.f64 (pow.f64 m 2) -1/4)) (if (<=.f64 m -1942668892225729/485667223056432267729865476705879726660601709763034880312953102434726071301302124544) (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (/.f64 K (/.f64 2 n)) M))) (if (<=.f64 m 3681675540198023/368167554019802297902961703073592265444961685287384386095984806211036520049665972495786961556290633771253993225976613596485201446531925242865351537949643006725668645734124513845866945743352000756639913885870091814580532597437363981258574050387614181710541845882032738795411959682006458992302809763070411033018368) (.f64 (cos.f64 M) (exp.f64 (neg.f64 (pow.f64 M 2)))) (exp.f64 (.f64 -1/4 (pow.f64 n 2))))))
(if (<=.f64 m -3152519739159347/9007199254740992) (.f64 1 (exp.f64 (.f64 (pow.f64 m 2) -1/4))) (if (<=.f64 m -7643459639137249/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 n)) M)) (exp.f64 (neg.f64 l))) (.f64 1 (exp.f64 (*.f64 (pow.f64 n 2) -1/4)))))
(if (<=.f64 m -3152519739159347/9007199254740992) (exp.f64 (.f64 (pow.f64 m 2) -1/4)) (if (<=.f64 m -7643459639137249/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504) (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (/.f64 K (/.f64 2 n)) M))) (exp.f64 (*.f64 -1/4 (pow.f64 n 2)))))
(if (<=.f64 m -3152519739159347/9007199254740992) (.f64 1 (exp.f64 (.f64 (pow.f64 m 2) -1/4))) (if (<=.f64 m -1477575232364793/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176) (.f64 (cos.f64 M) (exp.f64 (neg.f64 l))) (.f64 1 (exp.f64 (*.f64 (pow.f64 n 2) -1/4)))))
(if (<=.f64 m -3152519739159347/9007199254740992) (exp.f64 (.f64 (pow.f64 m 2) -1/4)) (if (<=.f64 m -1477575232364793/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176) (.f64 (cos.f64 M) (exp.f64 (neg.f64 l))) (exp.f64 (*.f64 -1/4 (pow.f64 n 2)))))
(if (<=.f64 m -3152519739159347/9007199254740992) (.f64 1 (exp.f64 (.f64 (pow.f64 m 2) -1/4))) (if (<=.f64 m 5553706221857431/5846006549323611672814739330865132078623730171904) (.f64 (cos.f64 M) (exp.f64 (neg.f64 l))) (.f64 1 (exp.f64 (*.f64 (pow.f64 m 2) -1/4)))))
(if (or (<=.f64 m -3152519739159347/9007199254740992) (not (<=.f64 m 5553706221857431/5846006549323611672814739330865132078623730171904))) (exp.f64 (.f64 (pow.f64 m 2) -1/4)) (.f64 (cos.f64 M) (exp.f64 (neg.f64 l))))
(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
(*.f64 1 (exp.f64 (neg.f64 l)))
(exp.f64 (neg.f64 l))
(cos.f64 M)
1

Compiler

Compiled 377 to 288 computations (23.6% saved)

soundness2.0s (10.8%)

Rules

1858×	`fma-def`
1856×	`fma-def`
1856×	`fma-def`
1620×	`exp-sum`
1564×	`fma-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	219	2686
1	622	2650
2	1660	2542
3	6217	2534
0	575	19963
1	1612	19513
2	5995	19472
0	575	19963
1	1612	19513
2	5995	19472
0	1010	48034
1	2945	45925
0	1066	48132
1	3055	46256
0	1010	48034
1	2945	45925
0	575	19963
1	1612	19513
2	5995	19472
0	575	19963
1	1612	19513
2	5995	19472
0	575	19963
1	1612	19513
2	5995	19472
0	575	19963
1	1612	19513
2	5995	19472

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
1×	node limit
1×	node limit

Compiler

Compiled 610 to 370 computations (39.3% saved)

end0.0ms (0%)

preprocess324.0ms (1.7%)

Remove: (sort m n)
Compiler: Compiled 1012 to 676 computations (33.2% saved)

analyze1.0ms (0%)

sample2.1s (10.9%)

preprocess411.0ms (2.2%)

eval2.0ms (0%)

prune2.0ms (0%)

localize392.0ms (2.1%)

series17.0ms (0.1%)

rewrite185.0ms (1%)

simplify186.0ms (1%)

eval206.0ms (1.1%)

prune160.0ms (0.8%)

localize2.2s (11.4%)

series66.0ms (0.3%)

rewrite117.0ms (0.6%)

simplify309.0ms (1.6%)

eval2.2s (11.5%)

prune719.0ms (3.8%)

localize1.6s (8.3%)

series52.0ms (0.3%)

rewrite122.0ms (0.6%)

simplify294.0ms (1.6%)

eval517.0ms (2.7%)

prune216.0ms (1.1%)

localize1.5s (7.8%)

series18.0ms (0.1%)

rewrite84.0ms (0.4%)

simplify331.0ms (1.8%)

eval311.0ms (1.6%)

prune128.0ms (0.7%)

regimes197.0ms (1%)

regimes717.0ms (3.8%)

regimes83.0ms (0.4%)

regimes67.0ms (0.4%)

regimes64.0ms (0.3%)

regimes53.0ms (0.3%)

regimes39.0ms (0.2%)

regimes66.0ms (0.4%)

regimes41.0ms (0.2%)

regimes34.0ms (0.2%)

regimes99.0ms (0.5%)

regimes16.0ms (0.1%)

bsearch100.0ms (0.5%)

bsearch137.0ms (0.7%)

bsearch75.0ms (0.4%)

bsearch98.0ms (0.5%)

bsearch105.0ms (0.6%)

bsearch65.0ms (0.3%)

bsearch77.0ms (0.4%)

simplify114.0ms (0.6%)

soundness2.0s (10.8%)

end0.0ms (0%)

preprocess324.0ms (1.7%)

Profiling