Details

analyze848.0ms (5.8%)

Algorithm

1×

Search

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

Compiler

Compiled 35 to 24 computations (31.4% saved)

sample2.6s (17.5%)

Results

2.2s	8130×	body	256	valid
163.0ms	61×	body	1024	valid
93.0ms	368×	body	256	infinite
48.0ms	84×	body	1024	infinite
34.0ms	83×	body	512	infinite
28.0ms	63×	body	512	valid
16.0ms	19×	body	2048	infinite
2.0ms	2×	body	2048	valid

Bogosity

preprocess62.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

557×	`exp-sum_binary64`
549×	`distribute-rgt-in_binary64`
428×	`fma-neg_binary64`
375×	`sub-neg_binary64`
349×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	154	495
1	433	495
2	1050	473
3	3771	473
0	5	5
1	5	5

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1
2
3
4

Outputs
0
1
2
1
3
4

Call 2

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

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

Symmetry

(sort m n)

Compiler

Compiled 39 to 28 computations (28.2% saved)

simplify53.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

598×	`exp-prod_binary64`
446×	`fma-neg_binary64`
371×	`associate-l_binary64`
308×	`associate-r_binary64`
249×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	45
1	58	45
2	135	43
3	442	43
4	1767	43
5	7431	43

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 62 to 37 computations (40.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Error

16.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.0b	(.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 34 to 23 computations (32.4% saved)

localize54.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
✓	0.0b	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)
✓	0.0b	(*.f64 K (+.f64 m n))
✓	34.8b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

Compiler

Compiled 153 to 64 computations (58.2% saved)

series26.0ms (0.2%)

Counts

4 → 168

Calls

42 calls:

Time	Variable		Expression
4.0ms	n	@	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)
1.0ms	M	@	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)
1.0ms	K	@	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
1.0ms	m	@	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
1.0ms	n	@	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

rewrite137.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

634×	`fma-def_binary64`
331×	`fma-neg_binary64`
309×	`expm1-udef_binary64`
309×	`log1p-udef_binary64`
247×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	48
1	336	48
2	4968	48

Stop Event

1×	node limit

Counts

4 → 233

Calls

Call 1

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

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

simplify88.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

712×	`fma-def_binary64`
652×	`distribute-rgt-neg-out_binary64`
586×	`distribute-lft-neg-out_binary64`
382×	`*-commutative_binary64`
343×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	139	2669
1	417	2628
2	1279	2506
3	4078	2506

Stop Event

1×	node limit

Counts

401 → 320

Calls

Call 1

Inputs
(cos.f64 (neg.f64 M))
(+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 K (*.f64 (sin.f64 (neg.f64 M)) (+.f64 n m)))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))) (.f64 -1/2 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (+.f64 n m))))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (sin.f64 (neg.f64 M)) (pow.f64 (+.f64 n m) 3)))) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))) (.f64 -1/2 (.f64 K (*.f64 (sin.f64 (neg.f64 M)) (+.f64 n m)))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (*.f64 K m))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (pow.f64 m 2)))) (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (pow.f64 m 2)))) (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (+.f64 (.f64 1/48 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 (pow.f64 K 3) (pow.f64 m 3)))) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (*.f64 K m))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (pow.f64 K 2)))) (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (pow.f64 K 2)))) (+.f64 (.f64 1/48 (.f64 (pow.f64 n 3) (.f64 (pow.f64 K 3) (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) M))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M) (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M) (+.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))) (pow.f64 M 2)))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M) (+.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (+.f64 (.f64 -1/6 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (pow.f64 M 3))) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))) (pow.f64 M 2))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m)))))
(cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m)))))
(cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m)))))
(cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m)))))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 n K)
(+.f64 (.f64 n K) (.f64 K m))
(+.f64 (.f64 n K) (.f64 K m))
(+.f64 (.f64 n K) (.f64 K m))
(*.f64 K m)
(+.f64 (.f64 n K) (.f64 K m))
(+.f64 (.f64 n K) (.f64 K m))
(+.f64 (.f64 n K) (.f64 K m))
(*.f64 K m)
(+.f64 (.f64 n K) (.f64 K m))
(+.f64 (.f64 n K) (.f64 K m))
(+.f64 (.f64 n K) (.f64 K m))
(*.f64 K m)
(+.f64 (.f64 n K) (.f64 K m))
(+.f64 (.f64 n K) (.f64 K m))
(+.f64 (.f64 n K) (.f64 K m))
(*.f64 n K)
(+.f64 (.f64 n K) (.f64 K m))
(+.f64 (.f64 n K) (.f64 K m))
(+.f64 (.f64 n K) (.f64 K m))
(*.f64 n K)
(+.f64 (.f64 n K) (.f64 K m))
(+.f64 (.f64 n K) (.f64 K m))
(+.f64 (.f64 n K) (.f64 K m))
(*.f64 -1 M)
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(.f64 1/2 (.f64 K (+.f64 n m)))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(.f64 1/2 (.f64 K (+.f64 n m)))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(-.f64 (.f64 1/2 (.f64 n K)) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(.f64 1/2 (.f64 K m))
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(.f64 1/2 (.f64 K m))
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (.f64 1/2 (.f64 K m)) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(.f64 1/2 (.f64 n K))
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(.f64 1/2 (.f64 n K))
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K))) M)
(.f64 1/2 (.f64 K (+.f64 n m)))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(*.f64 -1 M)
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(*.f64 -1 M)
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m))))
(pow.f64 (-.f64 (*.f64 1/2 n) M) 2)
(+.f64 (.f64 (-.f64 (.f64 1/2 n) M) m) (pow.f64 (-.f64 (*.f64 1/2 n) M) 2))
(+.f64 (.f64 (-.f64 (.f64 1/2 n) M) m) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) (.f64 1/4 (pow.f64 m 2))))
(+.f64 (.f64 (-.f64 (.f64 1/2 n) M) m) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) (.f64 1/4 (pow.f64 m 2))))
(*.f64 1/4 (pow.f64 m 2))
(+.f64 (.f64 (-.f64 (.f64 1/2 n) M) m) (*.f64 1/4 (pow.f64 m 2)))
(+.f64 (.f64 (-.f64 (.f64 1/2 n) M) m) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) (.f64 1/4 (pow.f64 m 2))))
(+.f64 (.f64 (-.f64 (.f64 1/2 n) M) m) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) (.f64 1/4 (pow.f64 m 2))))
(*.f64 1/4 (pow.f64 m 2))
(+.f64 (.f64 (-.f64 (.f64 1/2 n) M) m) (*.f64 1/4 (pow.f64 m 2)))
(+.f64 (.f64 (-.f64 (.f64 1/2 n) M) m) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) (.f64 1/4 (pow.f64 m 2))))
(+.f64 (.f64 (-.f64 (.f64 1/2 n) M) m) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) (.f64 1/4 (pow.f64 m 2))))
(pow.f64 (-.f64 (*.f64 1/2 m) M) 2)
(+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) (.f64 n (-.f64 (*.f64 1/2 m) M)))
(+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) (+.f64 (.f64 n (-.f64 (.f64 1/2 m) M)) (.f64 1/4 (pow.f64 n 2))))
(+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) (+.f64 (.f64 n (-.f64 (.f64 1/2 m) M)) (.f64 1/4 (pow.f64 n 2))))
(*.f64 1/4 (pow.f64 n 2))
(+.f64 (.f64 n (-.f64 (.f64 1/2 m) M)) (*.f64 1/4 (pow.f64 n 2)))
(+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) (+.f64 (.f64 n (-.f64 (.f64 1/2 m) M)) (.f64 1/4 (pow.f64 n 2))))
(+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) (+.f64 (.f64 n (-.f64 (.f64 1/2 m) M)) (.f64 1/4 (pow.f64 n 2))))
(*.f64 1/4 (pow.f64 n 2))
(+.f64 (.f64 n (-.f64 (.f64 1/2 m) M)) (*.f64 1/4 (pow.f64 n 2)))
(+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) (+.f64 (.f64 n (-.f64 (.f64 1/2 m) M)) (.f64 1/4 (pow.f64 n 2))))
(+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) (+.f64 (.f64 n (-.f64 (.f64 1/2 m) M)) (.f64 1/4 (pow.f64 n 2))))
(*.f64 1/4 (pow.f64 (+.f64 n m) 2))
(+.f64 (.f64 -1 (.f64 (+.f64 n m) M)) (*.f64 1/4 (pow.f64 (+.f64 n m) 2)))
(+.f64 (.f64 -1 (.f64 (+.f64 n m) M)) (+.f64 (*.f64 1/4 (pow.f64 (+.f64 n m) 2)) (pow.f64 M 2)))
(+.f64 (.f64 -1 (.f64 (+.f64 n m) M)) (+.f64 (*.f64 1/4 (pow.f64 (+.f64 n m) 2)) (pow.f64 M 2)))
(pow.f64 M 2)
(+.f64 (.f64 -1 (.f64 (+.f64 n m) M)) (pow.f64 M 2))
(+.f64 (.f64 -1 (.f64 (+.f64 n m) M)) (+.f64 (*.f64 1/4 (pow.f64 (+.f64 n m) 2)) (pow.f64 M 2)))
(+.f64 (.f64 -1 (.f64 (+.f64 n m) M)) (+.f64 (*.f64 1/4 (pow.f64 (+.f64 n m) 2)) (pow.f64 M 2)))
(pow.f64 M 2)
(+.f64 (.f64 -1 (.f64 (+.f64 n m) M)) (pow.f64 M 2))
(+.f64 (.f64 -1 (.f64 (+.f64 n m) M)) (+.f64 (*.f64 1/4 (pow.f64 (+.f64 n m) 2)) (pow.f64 M 2)))
(+.f64 (.f64 -1 (.f64 (+.f64 n m) M)) (+.f64 (*.f64 1/4 (pow.f64 (+.f64 n m) 2)) (pow.f64 M 2)))

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

eval243.0ms (1.7%)

Compiler: Compiled 12435 to 5925 computations (52.4% saved)

prune172.0ms (1.2%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	305	15	320
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	306	15	321

Error

1.5b

Counts

321 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	16.0b	(.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (+.f64 m n) (.f64 K 1/2) (neg.f64 M)))) 3) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	43.0b	(.f64 (+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))) (.f64 -1/2 (.f64 K (*.f64 (sin.f64 (neg.f64 M)) (+.f64 n m)))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	16.0b	(.f64 (cos.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 (cbrt.f64 m) 2) (.f64 (cbrt.f64 m) K) (*.f64 K 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))))))
▶	44.5b	(.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (pow.f64 (.f64 K (+.f64 m n)) 3) 1/3) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	16.0b	(.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 K (+.f64 m n))) 3) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	31.9b	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 K m) (.f64 K m)) (.f64 (.f64 K n) (.f64 K n))) (-.f64 (.f64 K m) (*.f64 K 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))))))
	36.9b	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (.f64 (-.f64 (.f64 m m) (.f64 n n)) 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))))))
	37.0b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (.f64 n (.f64 n 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))))
	35.8b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (.f64 m (.f64 m 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	34.2b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	39.6b	(.f64 (cos.f64 (-.f64 (/.f64 (exp.f64 (log.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))))))
	9.2b	(.f64 (cos.f64 (.f64 K (*.f64 n 1/2))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	10.6b	(.f64 (cos.f64 (.f64 K (*.f64 m 1/2))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	34.9b	(.f64 (cos.f64 (expm1.f64 (log1p.f64 (fma.f64 (+.f64 m n) (.f64 K 1/2) (neg.f64 M))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	1.8b	(*.f64 (cos.f64 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 1096 to 746 computations (31.9% saved)

localize37.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 115 to 51 computations (55.7% saved)

series6.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite78.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

457×	`fma-neg_binary64`
303×	`expm1-udef_binary64`
303×	`log1p-udef_binary64`
233×	`log-pow_binary64`
227×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	365	22
2	5687	22

Stop Event

1×	node limit

Counts

1 → 84

Calls

Call 1

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

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

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simplify185.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

758×	`associate--r+_binary64`
711×	`associate--l+_binary64`
416×	`sub-neg_binary64`
377×	`distribute-rgt-in_binary64`
351×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	87	1205
1	286	1186
2	764	1122
3	3552	1108

Stop Event

1×	node limit

Counts

132 → 127

Calls

Call 1

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

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

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)
✓	0.0b	(-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))
	0.0b	(*.f64 K (+.f64 m n))
	34.8b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

Compiler

Compiled 111 to 29 computations (73.9% saved)

series5.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	M	@	0	(-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))
0.0ms	M	@	inf	(-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))
0.0ms	m	@	0	(-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))
0.0ms	n	@	0	(-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))
0.0ms	l	@	0	(-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))

rewrite99.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

757×	`fma-def_binary64`
577×	`log-prod_binary64`
382×	`fma-neg_binary64`
213×	`pow1/3_binary64`
213×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	261	13
2	4183	13

Stop Event

1×	node limit

Counts

1 → 160

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 M M) (neg.f64 (-.f64 l (-.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 M M) (*.f64 (neg.f64 (-.f64 l (-.f64 m n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 m n) (-.f64 (*.f64 M M) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 m n) (-.f64 (*.f64 M M) l)) (fma.f64 (neg.f64 (-.f64 l (-.f64 m n))) 1 (-.f64 l (-.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 m n) (-.f64 (*.f64 M M) l)) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 l (-.f64 m n)))) (pow.f64 (cbrt.f64 (-.f64 l (-.f64 m n))) 2) (-.f64 l (-.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 m n) (-.f64 (*.f64 M M) l)) (+.f64 (neg.f64 (-.f64 l (-.f64 m n))) (-.f64 l (-.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (-.f64 m n) (-.f64 (*.f64 M M) l)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (-.f64 l (-.f64 m n))) (*.f64 M M))))) 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(neg.f64 (-.f64 l (-.f64 m n))))) (hypot.f64 M (sqrt.f64 (neg.f64 (-.f64 l (-.f64 m n))))) (+.f64 (neg.f64 (-.f64 l (-.f64 m n))) (-.f64 l (-.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 M) (*.f64 (sqrt.f64 M) (neg.f64 M)) (neg.f64 (-.f64 l (-.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 M) (*.f64 (sqrt.f64 M) (neg.f64 M)) (*.f64 (neg.f64 (-.f64 l (-.f64 m n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 M) (*.f64 (sqrt.f64 M) M) (neg.f64 (-.f64 l (-.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 M) (*.f64 (sqrt.f64 M) M) (*.f64 (neg.f64 (-.f64 l (-.f64 m n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 m n)) (sqrt.f64 (-.f64 m n)) (-.f64 (*.f64 M M) l))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 l (-.f64 m n))) (neg.f64 (sqrt.f64 (-.f64 l (-.f64 m n)))) (*.f64 M M))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (*.f64 M M) 3) (pow.f64 (-.f64 l (-.f64 m n)) 3)) (/.f64 1 (fma.f64 (-.f64 l (-.f64 m n)) (-.f64 (fma.f64 M M l) (-.f64 m n)) (pow.f64 M 4))) (fma.f64 (neg.f64 (-.f64 l (-.f64 m n))) 1 (-.f64 l (-.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (*.f64 M M) 3) (pow.f64 (-.f64 l (-.f64 m n)) 3)) (/.f64 1 (fma.f64 (-.f64 l (-.f64 m n)) (-.f64 (fma.f64 M M l) (-.f64 m n)) (pow.f64 M 4))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 l (-.f64 m n)))) (pow.f64 (cbrt.f64 (-.f64 l (-.f64 m n))) 2) (-.f64 l (-.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (*.f64 M M) 3) (pow.f64 (-.f64 l (-.f64 m n)) 3)) (/.f64 1 (fma.f64 (-.f64 l (-.f64 m n)) (-.f64 (fma.f64 M M l) (-.f64 m n)) (pow.f64 M 4))) (+.f64 (neg.f64 (-.f64 l (-.f64 m n))) (-.f64 l (-.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 m 3) (pow.f64 n 3)) (/.f64 1 (fma.f64 n (+.f64 m n) (*.f64 m m))) (-.f64 (*.f64 M M) l))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 M M) (neg.f64 (-.f64 l (-.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 M M) (*.f64 (neg.f64 (-.f64 l (-.f64 m n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (-.f64 l (-.f64 m n)) (*.f64 M M))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 M 4) (pow.f64 (-.f64 l (-.f64 m n)) 2)) (/.f64 1 (-.f64 (fma.f64 M M l) (-.f64 m n))) (fma.f64 (neg.f64 (-.f64 l (-.f64 m n))) 1 (-.f64 l (-.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 M 4) (pow.f64 (-.f64 l (-.f64 m n)) 2)) (/.f64 1 (-.f64 (fma.f64 M M l) (-.f64 m n))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 l (-.f64 m n)))) (pow.f64 (cbrt.f64 (-.f64 l (-.f64 m n))) 2) (-.f64 l (-.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 M 4) (pow.f64 (-.f64 l (-.f64 m n)) 2)) (/.f64 1 (-.f64 (fma.f64 M M l) (-.f64 m n))) (+.f64 (neg.f64 (-.f64 l (-.f64 m n))) (-.f64 l (-.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 m n) (-.f64 m n)) (/.f64 1 (+.f64 m n)) (-.f64 (*.f64 M M) l))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 M) M (neg.f64 (-.f64 l (-.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 M) M (*.f64 (neg.f64 (-.f64 l (-.f64 m n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 M M) l) 1 (-.f64 m n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 M (sqrt.f64 M)) (sqrt.f64 M) (neg.f64 (-.f64 l (-.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 M (sqrt.f64 M)) (sqrt.f64 M) (*.f64 (neg.f64 (-.f64 l (-.f64 m n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (neg.f64 (-.f64 l (-.f64 m n)))) (cbrt.f64 (neg.f64 (-.f64 l (-.f64 m n))))) (cbrt.f64 (neg.f64 (-.f64 l (-.f64 m n)))) (*.f64 M M))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 M M) l)) (cbrt.f64 (-.f64 (*.f64 M M) l))) (cbrt.f64 (-.f64 (*.f64 M M) l)) (-.f64 m n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 M M) l)) (cbrt.f64 (-.f64 (*.f64 M M) l))) (cbrt.f64 (-.f64 (*.f64 M M) l)) (neg.f64 (neg.f64 (-.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (-.f64 l (-.f64 m n)))) (sqrt.f64 (neg.f64 (-.f64 l (-.f64 m n)))) (*.f64 M M))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (*.f64 M M) l)) (sqrt.f64 (-.f64 (*.f64 M M) l)) (-.f64 m n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (*.f64 M M) l)) (sqrt.f64 (-.f64 (*.f64 M M) l)) (neg.f64 (neg.f64 (-.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (-.f64 l (-.f64 m n)))) (sqrt.f64 (-.f64 l (-.f64 m n))) (*.f64 M M))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fabs.f64 (pow.f64 (cbrt.f64 (-.f64 m n)) 2)) (fabs.f64 (cbrt.f64 (-.f64 m n))) (-.f64 (*.f64 M M) l))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 m) (sqrt.f64 n)) (-.f64 (sqrt.f64 m) (sqrt.f64 n)) (-.f64 (*.f64 M M) l))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 M (sqrt.f64 (-.f64 l (-.f64 m n)))) (-.f64 M (sqrt.f64 (-.f64 l (-.f64 m n)))) (fma.f64 (neg.f64 (-.f64 l (-.f64 m n))) 1 (-.f64 l (-.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 M (sqrt.f64 (-.f64 l (-.f64 m n)))) (-.f64 M (sqrt.f64 (-.f64 l (-.f64 m n)))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 l (-.f64 m n)))) (pow.f64 (cbrt.f64 (-.f64 l (-.f64 m n))) 2) (-.f64 l (-.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 M (sqrt.f64 (-.f64 l (-.f64 m n)))) (-.f64 M (sqrt.f64 (-.f64 l (-.f64 m n)))) (+.f64 (neg.f64 (-.f64 l (-.f64 m n))) (-.f64 l (-.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 M (sqrt.f64 l)) (-.f64 M (sqrt.f64 l)) (-.f64 m n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 M (sqrt.f64 l)) (-.f64 M (sqrt.f64 l)) (neg.f64 (neg.f64 (-.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 M 4))) (cbrt.f64 (*.f64 M M)) (neg.f64 (-.f64 l (-.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 M 4))) (cbrt.f64 (*.f64 M M)) (*.f64 (neg.f64 (-.f64 l (-.f64 m n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 l (-.f64 m n))) 2)) (cbrt.f64 (-.f64 l (-.f64 m n))) (*.f64 M M))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (cbrt.f64 (pow.f64 M 4))) (cbrt.f64 (*.f64 M M)) (neg.f64 (-.f64 l (-.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (cbrt.f64 (pow.f64 M 4))) (cbrt.f64 (*.f64 M M)) (*.f64 (neg.f64 (-.f64 l (-.f64 m n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 M) 1) M (neg.f64 (-.f64 l (-.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 M) 1) M (*.f64 (neg.f64 (-.f64 l (-.f64 m n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 M) (cbrt.f64 (*.f64 M M))) (cbrt.f64 M) (neg.f64 (-.f64 l (-.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 M) (cbrt.f64 (*.f64 M M))) (cbrt.f64 M) (*.f64 (neg.f64 (-.f64 l (-.f64 m n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 M) (sqrt.f64 M)) (sqrt.f64 M) (neg.f64 (-.f64 l (-.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (neg.f64 M) (sqrt.f64 M)) (sqrt.f64 M) (*.f64 (neg.f64 (-.f64 l (-.f64 m n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 M (cbrt.f64 (*.f64 M M))) (cbrt.f64 M) (neg.f64 (-.f64 l (-.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 M (cbrt.f64 (*.f64 M M))) (cbrt.f64 M) (*.f64 (neg.f64 (-.f64 l (-.f64 m n))) 1))))))

simplify131.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

929×	`fma-neg_binary64`
532×	`unswap-sqr_binary64`
472×	`fma-def_binary64`
413×	`distribute-rgt-neg-in_binary64`
290×	`neg-sub0_binary64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	29	669
1	78	585
2	143	585
3	291	585
4	590	585
5	1308	585
6	2304	585
7	4368	585
8	5753	579
9	6675	579
10	7233	579
11	7811	579

Stop Event

1×	node limit

Counts

208 → 174

Calls

Call 1

Inputs
(-.f64 (fabs.f64 (-.f64 m n)) l)
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (*.f64 -1 (pow.f64 M 2))) l)
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (*.f64 -1 (pow.f64 M 2))) l)
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (*.f64 -1 (pow.f64 M 2))) l)
(*.f64 -1 (pow.f64 M 2))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (*.f64 -1 (pow.f64 M 2))) l)
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (*.f64 -1 (pow.f64 M 2))) l)
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (*.f64 -1 (pow.f64 M 2))) l)
(*.f64 -1 (pow.f64 M 2))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (*.f64 -1 (pow.f64 M 2))) l)
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (*.f64 -1 (pow.f64 M 2))) l)
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (*.f64 -1 (pow.f64 M 2))) l)
(-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 M 2))
(-.f64 (+.f64 (*.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 M 2))
(-.f64 (+.f64 (*.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 M 2))
(-.f64 (+.f64 (*.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 M 2))
(*.f64 -1 l)
(-.f64 (+.f64 (*.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 M 2))
(-.f64 (+.f64 (*.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 M 2))
(-.f64 (+.f64 (*.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 M 2))
(*.f64 -1 l)
(-.f64 (+.f64 (*.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 M 2))
(-.f64 (+.f64 (*.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 M 2))
(-.f64 (+.f64 (*.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 M 2))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (neg.f64 (+.f64 n (*.f64 -1 m)))) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (neg.f64 (+.f64 n (*.f64 -1 m)))) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (neg.f64 (+.f64 n (*.f64 -1 m)))) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (neg.f64 (+.f64 n (*.f64 -1 m)))) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (+.f64 (*.f64 -1 n) m)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (+.f64 (*.f64 -1 n) m)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (+.f64 (*.f64 -1 n) m)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (+.f64 (*.f64 -1 n) m)) (+.f64 l (pow.f64 M 2)))

Outputs
(-.f64 (fabs.f64 (-.f64 m n)) l)
(-.f64 (fabs.f64 (-.f64 n m)) l)
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (*.f64 -1 (pow.f64 M 2))) l)
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (*.f64 M M)) l)
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (*.f64 -1 (pow.f64 M 2))) l)
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (*.f64 M M)) l)
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (*.f64 -1 (pow.f64 M 2))) l)
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (*.f64 M M)) l)
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))
(*.f64 -1 (pow.f64 M 2))
(neg.f64 (*.f64 M M))
(*.f64 M (neg.f64 M))
(*.f64 M M)
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (*.f64 -1 (pow.f64 M 2))) l)
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (*.f64 M M)) l)
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (*.f64 -1 (pow.f64 M 2))) l)
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (*.f64 M M)) l)
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (*.f64 -1 (pow.f64 M 2))) l)
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (*.f64 M M)) l)
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))
(*.f64 -1 (pow.f64 M 2))
(neg.f64 (*.f64 M M))
(*.f64 M (neg.f64 M))
(*.f64 M M)
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (*.f64 -1 (pow.f64 M 2))) l)
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (*.f64 M M)) l)
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (*.f64 -1 (pow.f64 M 2))) l)
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (*.f64 M M)) l)
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (*.f64 -1 (pow.f64 M 2))) l)
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (*.f64 M M)) l)
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))
(-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 M 2))
(-.f64 (fabs.f64 (-.f64 n m)) (*.f64 M M))
(fma.f64 M M (fabs.f64 (-.f64 n m)))
(-.f64 (+.f64 (*.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 M 2))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (*.f64 M M)) l)
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))
(-.f64 (+.f64 (*.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 M 2))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (*.f64 M M)) l)
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))
(-.f64 (+.f64 (*.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 M 2))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (*.f64 M M)) l)
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))
(*.f64 -1 l)
(neg.f64 l)
(-.f64 (+.f64 (*.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 M 2))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (*.f64 M M)) l)
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))
(-.f64 (+.f64 (*.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 M 2))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (*.f64 M M)) l)
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))
(-.f64 (+.f64 (*.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 M 2))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (*.f64 M M)) l)
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))
(*.f64 -1 l)
(neg.f64 l)
(-.f64 (+.f64 (*.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 M 2))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (*.f64 M M)) l)
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))
(-.f64 (+.f64 (*.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 M 2))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (*.f64 M M)) l)
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))
(-.f64 (+.f64 (*.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 M 2))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (*.f64 M M)) l)
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (*.f64 M M)) l)
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (*.f64 M M)) l)
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (*.f64 M M)) l)
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (*.f64 M M)) l)
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (*.f64 M M)) l)
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (*.f64 M M)) l)
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (*.f64 M M)) l)
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (*.f64 M M)) l)
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))
(-.f64 (fabs.f64 (neg.f64 (+.f64 n (*.f64 -1 m)))) (+.f64 l (pow.f64 M 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (*.f64 M M)) l)
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))
(-.f64 (fabs.f64 (neg.f64 (+.f64 n (*.f64 -1 m)))) (+.f64 l (pow.f64 M 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (*.f64 M M)) l)
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))
(-.f64 (fabs.f64 (neg.f64 (+.f64 n (*.f64 -1 m)))) (+.f64 l (pow.f64 M 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (*.f64 M M)) l)
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))
(-.f64 (fabs.f64 (neg.f64 (+.f64 n (*.f64 -1 m)))) (+.f64 l (pow.f64 M 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (*.f64 M M)) l)
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (*.f64 M M)) l)
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (*.f64 M M)) l)
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (*.f64 M M)) l)
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (*.f64 M M)) l)
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (*.f64 M M)) l)
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (*.f64 M M)) l)
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (*.f64 M M)) l)
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (*.f64 M M)) l)
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))
(-.f64 (fabs.f64 (+.f64 (*.f64 -1 n) m)) (+.f64 l (pow.f64 M 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (*.f64 M M)) l)
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))
(-.f64 (fabs.f64 (+.f64 (*.f64 -1 n) m)) (+.f64 l (pow.f64 M 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (*.f64 M M)) l)
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))
(-.f64 (fabs.f64 (+.f64 (*.f64 -1 n) m)) (+.f64 l (pow.f64 M 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (*.f64 M M)) l)
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))
(-.f64 (fabs.f64 (+.f64 (*.f64 -1 n) m)) (+.f64 l (pow.f64 M 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) (*.f64 M M)) l)
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 M M l))

localize49.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))
	0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
✓	30.4b	(cos.f64 (.f64 K (.f64 m 1/2)))

Compiler

Compiled 133 to 64 computations (51.9% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite49.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

652×	`pow1_binary64`
599×	`add-log-exp_binary64`
599×	`log1p-expm1-u_binary64`
599×	`expm1-log1p-u_binary64`
586×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	140	9
2	1622	9

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

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

Outputs

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

simplify212.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1130×	`sqr-pow_binary64`
997×	`fma-def_binary64`
598×	`pow-sqr_binary64`
481×	`cube-prod_binary64`
431×	`fabs-mul_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	32	316
1	79	312
2	208	308
3	870	308
4	2189	296
5	2694	290
6	3005	272
7	3230	272
8	3474	272
9	3794	272
10	4222	272
11	4742	272
12	5377	272
13	5641	272
14	5861	272
15	6029	272
16	6169	272
17	6283	272
18	7066	272
19	7936	272

Stop Event

1×	node limit

Counts

40 → 25

Calls

Call 1

Inputs
1
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) 1)
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4))) (.f64 -1/46080 (.f64 (pow.f64 K 6) (pow.f64 m 6))))))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
1
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) 1)
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4))) (.f64 -1/46080 (.f64 (pow.f64 K 6) (pow.f64 m 6))))))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))

Outputs
1
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) 1)
(fma.f64 -1/8 (.f64 (.f64 K K) (*.f64 m m)) 1)
(fma.f64 -1/8 (.f64 K (.f64 K (*.f64 m m))) 1)
(fma.f64 (.f64 K K) (.f64 m (*.f64 -1/8 m)) 1)
(fma.f64 -1/8 (pow.f64 (*.f64 K m) 2) 1)
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)))))
(fma.f64 -1/8 (.f64 (.f64 K K) (.f64 m m)) (+.f64 1 (.f64 1/384 (*.f64 (pow.f64 K 4) (pow.f64 m 4)))))
(fma.f64 -1/8 (.f64 (.f64 K K) (.f64 m m)) (fma.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)) 1))
(fma.f64 (pow.f64 K 4) (.f64 1/384 (pow.f64 m 4)) (fma.f64 -1/8 (.f64 K (.f64 K (.f64 m m))) 1))
(fma.f64 -1/8 (.f64 K (.f64 K (.f64 m m))) (fma.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)) 1))
(fma.f64 -1/8 (.f64 K (.f64 K (.f64 m m))) (fma.f64 1/384 (pow.f64 (.f64 K m) 4) 1))
(fma.f64 -1/8 (pow.f64 (.f64 K m) 2) (fma.f64 1/384 (pow.f64 (.f64 K m) 4) 1))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4))) (.f64 -1/46080 (.f64 (pow.f64 K 6) (pow.f64 m 6))))))
(+.f64 (fma.f64 -1/8 (.f64 (.f64 K K) (.f64 m m)) 1) (fma.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)) (.f64 -1/46080 (.f64 (pow.f64 K 6) (pow.f64 m 6)))))
(fma.f64 -1/8 (.f64 K (.f64 K (.f64 m m))) (fma.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)) (fma.f64 (pow.f64 m 6) (*.f64 -1/46080 (pow.f64 K 6)) 1)))
(fma.f64 -1/8 (.f64 K (.f64 K (.f64 m m))) (fma.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)) (fma.f64 -1/46080 (*.f64 (pow.f64 K 6) (pow.f64 m 6)) 1)))
(fma.f64 -1/8 (.f64 K (.f64 K (.f64 m m))) (fma.f64 1/384 (pow.f64 (.f64 K m) 4) (fma.f64 -1/46080 (*.f64 (pow.f64 K 6) (pow.f64 m 6)) 1)))
(fma.f64 -1/8 (.f64 K (.f64 K (.f64 m m))) (fma.f64 1/384 (pow.f64 (.f64 K m) 4) (fma.f64 -1/46080 (pow.f64 (*.f64 K m) 6) 1)))
(fma.f64 -1/8 (pow.f64 (.f64 K m) 2) (fma.f64 1/384 (pow.f64 (.f64 K m) 4) (fma.f64 -1/46080 (pow.f64 (*.f64 K m) 6) 1)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
1
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) 1)
(fma.f64 -1/8 (.f64 (.f64 K K) (*.f64 m m)) 1)
(fma.f64 -1/8 (.f64 K (.f64 K (*.f64 m m))) 1)
(fma.f64 (.f64 K K) (.f64 m (*.f64 -1/8 m)) 1)
(fma.f64 -1/8 (pow.f64 (*.f64 K m) 2) 1)
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)))))
(fma.f64 -1/8 (.f64 (.f64 K K) (.f64 m m)) (+.f64 1 (.f64 1/384 (*.f64 (pow.f64 K 4) (pow.f64 m 4)))))
(fma.f64 -1/8 (.f64 (.f64 K K) (.f64 m m)) (fma.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)) 1))
(fma.f64 (pow.f64 K 4) (.f64 1/384 (pow.f64 m 4)) (fma.f64 -1/8 (.f64 K (.f64 K (.f64 m m))) 1))
(fma.f64 -1/8 (.f64 K (.f64 K (.f64 m m))) (fma.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)) 1))
(fma.f64 -1/8 (.f64 K (.f64 K (.f64 m m))) (fma.f64 1/384 (pow.f64 (.f64 K m) 4) 1))
(fma.f64 -1/8 (pow.f64 (.f64 K m) 2) (fma.f64 1/384 (pow.f64 (.f64 K m) 4) 1))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4))) (.f64 -1/46080 (.f64 (pow.f64 K 6) (pow.f64 m 6))))))
(+.f64 (fma.f64 -1/8 (.f64 (.f64 K K) (.f64 m m)) 1) (fma.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)) (.f64 -1/46080 (.f64 (pow.f64 K 6) (pow.f64 m 6)))))
(fma.f64 -1/8 (.f64 K (.f64 K (.f64 m m))) (fma.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)) (fma.f64 (pow.f64 m 6) (*.f64 -1/46080 (pow.f64 K 6)) 1)))
(fma.f64 -1/8 (.f64 K (.f64 K (.f64 m m))) (fma.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)) (fma.f64 -1/46080 (*.f64 (pow.f64 K 6) (pow.f64 m 6)) 1)))
(fma.f64 -1/8 (.f64 K (.f64 K (.f64 m m))) (fma.f64 1/384 (pow.f64 (.f64 K m) 4) (fma.f64 -1/46080 (*.f64 (pow.f64 K 6) (pow.f64 m 6)) 1)))
(fma.f64 -1/8 (.f64 K (.f64 K (.f64 m m))) (fma.f64 1/384 (pow.f64 (.f64 K m) 4) (fma.f64 -1/46080 (pow.f64 (*.f64 K m) 6) 1)))
(fma.f64 -1/8 (pow.f64 (.f64 K m) 2) (fma.f64 1/384 (pow.f64 (.f64 K m) 4) (fma.f64 -1/46080 (pow.f64 (*.f64 K m) 6) 1)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))

localize69.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.9b	(-.f64 (.f64 K m) (.f64 K n))
✓	7.3b	(-.f64 (.f64 (.f64 K m) (.f64 K m)) (.f64 (.f64 K n) (.f64 K n)))
✓	33.5b	(/.f64 (-.f64 (.f64 (.f64 K m) (.f64 K m)) (.f64 (.f64 K n) (.f64 K n))) (-.f64 (.f64 K m) (.f64 K n)))
✓	34.6b	(cos.f64 (-.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 K m) (.f64 K m)) (.f64 (.f64 K n) (.f64 K n))) (-.f64 (.f64 K m) (.f64 K n))) 2) M))

Compiler

Compiled 285 to 70 computations (75.4% saved)

series29.0ms (0.2%)

Counts

4 → 156

Calls

39 calls:

Time	Variable		Point	Expression
5.0ms	K	@	inf	(/.f64 (-.f64 (.f64 (.f64 K m) (.f64 K m)) (.f64 (.f64 K n) (.f64 K n))) (-.f64 (.f64 K m) (.f64 K n)))
2.0ms	K	@	-inf	(cos.f64 (-.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 K m) (.f64 K m)) (.f64 (.f64 K n) (.f64 K n))) (-.f64 (.f64 K m) (.f64 K n))) 2) M))
2.0ms	K	@	0	(/.f64 (-.f64 (.f64 (.f64 K m) (.f64 K m)) (.f64 (.f64 K n) (.f64 K n))) (-.f64 (.f64 K m) (.f64 K n)))
2.0ms	K	@	0	(cos.f64 (-.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 K m) (.f64 K m)) (.f64 (.f64 K n) (.f64 K n))) (-.f64 (.f64 K m) (.f64 K n))) 2) M))
1.0ms	M	@	0	(cos.f64 (-.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 K m) (.f64 K m)) (.f64 (.f64 K n) (.f64 K n))) (-.f64 (.f64 K m) (.f64 K n))) 2) M))

rewrite331.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

675×	`fma-neg_binary64`
363×	`expm1-udef_binary64`
363×	`log1p-udef_binary64`
212×	`add-sqr-sqrt_binary64`
207×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	81
1	403	45
2	6588	45

Stop Event

1×	node limit

Counts

4 → 301

Calls

Call 1

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

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

simplify103.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

642×	`div-sub_binary64`
530×	`times-frac_binary64`
519×	`fma-def_binary64`
357×	`*-commutative_binary64`
349×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	125	3557
1	392	3155
2	1300	3023
3	5406	2297

Stop Event

1×	node limit

Counts

457 → 354

Calls

Call 1

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

Outputs
(cos.f64 (neg.f64 M))
(cos.f64 M)
(+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (/.f64 (.f64 K (*.f64 (sin.f64 (neg.f64 M)) (-.f64 (pow.f64 m 2) (pow.f64 n 2)))) (-.f64 m n))))
(+.f64 (cos.f64 M) (.f64 -1/2 (/.f64 (.f64 (.f64 K (neg.f64 (sin.f64 M))) (-.f64 (.f64 m m) (*.f64 n n))) (-.f64 m n))))
(fma.f64 -1/2 (.f64 (/.f64 K (-.f64 m n)) (.f64 (neg.f64 (sin.f64 M)) (*.f64 (+.f64 m n) (-.f64 m n)))) (cos.f64 M))
(fma.f64 -1/2 (.f64 (/.f64 (.f64 (neg.f64 K) (sin.f64 M)) (-.f64 m n)) (-.f64 (.f64 m m) (.f64 n n))) (cos.f64 M))
(fma.f64 -1/2 (.f64 (.f64 (/.f64 (+.f64 m n) 1) K) (neg.f64 (sin.f64 M))) (cos.f64 M))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (/.f64 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (-.f64 (pow.f64 m 2) (pow.f64 n 2)))) (-.f64 m n))) (.f64 -1/8 (/.f64 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (pow.f64 (-.f64 (pow.f64 m 2) (pow.f64 n 2)) 2))) (pow.f64 (-.f64 m n) 2)))))
(+.f64 (cos.f64 M) (fma.f64 -1/2 (/.f64 (.f64 (.f64 K (neg.f64 (sin.f64 M))) (-.f64 (.f64 m m) (.f64 n n))) (-.f64 m n)) (.f64 -1/8 (/.f64 (.f64 (.f64 (cos.f64 M) (.f64 K K)) (pow.f64 (-.f64 (.f64 m m) (.f64 n n)) 2)) (pow.f64 (-.f64 m n) 2)))))
(+.f64 (cos.f64 M) (fma.f64 -1/8 (/.f64 (.f64 (cos.f64 M) (.f64 K K)) (/.f64 (pow.f64 (-.f64 m n) 2) (pow.f64 (.f64 (+.f64 m n) (-.f64 m n)) 2))) (/.f64 (.f64 (.f64 -1/2 K) (.f64 (neg.f64 (sin.f64 M)) (*.f64 (+.f64 m n) (-.f64 m n)))) (-.f64 m n))))
(fma.f64 -1/2 (.f64 (/.f64 (.f64 (neg.f64 K) (sin.f64 M)) (-.f64 m n)) (-.f64 (.f64 m m) (.f64 n n))) (fma.f64 -1/8 (.f64 (/.f64 (cos.f64 M) (/.f64 (pow.f64 (-.f64 m n) 2) (.f64 K K))) (pow.f64 (-.f64 (.f64 m m) (.f64 n n)) 2)) (cos.f64 M)))
(fma.f64 -1/2 (.f64 (.f64 (/.f64 (+.f64 m n) 1) K) (neg.f64 (sin.f64 M))) (fma.f64 -1/8 (.f64 (/.f64 (cos.f64 M) (/.f64 (pow.f64 (-.f64 m n) 2) (.f64 K K))) (pow.f64 (-.f64 (.f64 m m) (.f64 n n)) 2)) (cos.f64 M)))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (/.f64 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (-.f64 (pow.f64 m 2) (pow.f64 n 2)))) (-.f64 m n))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (pow.f64 (-.f64 (pow.f64 m 2) (pow.f64 n 2)) 2))) (pow.f64 (-.f64 m n) 2))) (.f64 1/48 (/.f64 (.f64 (pow.f64 K 3) (*.f64 (sin.f64 (neg.f64 M)) (pow.f64 (-.f64 (pow.f64 m 2) (pow.f64 n 2)) 3))) (pow.f64 (-.f64 m n) 3))))))
(+.f64 (cos.f64 M) (fma.f64 -1/2 (/.f64 (.f64 (.f64 K (neg.f64 (sin.f64 M))) (-.f64 (.f64 m m) (.f64 n n))) (-.f64 m n)) (fma.f64 -1/8 (/.f64 (.f64 (.f64 (cos.f64 M) (.f64 K K)) (pow.f64 (-.f64 (.f64 m m) (.f64 n n)) 2)) (pow.f64 (-.f64 m n) 2)) (.f64 1/48 (/.f64 (.f64 (.f64 (pow.f64 K 3) (neg.f64 (sin.f64 M))) (pow.f64 (-.f64 (.f64 m m) (.f64 n n)) 3)) (pow.f64 (-.f64 m n) 3))))))
(+.f64 (fma.f64 -1/2 (.f64 (/.f64 K (-.f64 m n)) (.f64 (neg.f64 (sin.f64 M)) (.f64 (+.f64 m n) (-.f64 m n)))) (cos.f64 M)) (fma.f64 -1/8 (/.f64 (.f64 (cos.f64 M) (.f64 K K)) (/.f64 (pow.f64 (-.f64 m n) 2) (pow.f64 (.f64 (+.f64 m n) (-.f64 m n)) 2))) (.f64 1/48 (/.f64 (pow.f64 K 3) (/.f64 (/.f64 (pow.f64 (-.f64 m n) 3) (pow.f64 (.f64 (+.f64 m n) (-.f64 m n)) 3)) (neg.f64 (sin.f64 M)))))))
(+.f64 (cos.f64 M) (fma.f64 -1/8 (.f64 (/.f64 (cos.f64 M) (/.f64 (pow.f64 (-.f64 m n) 2) (.f64 K K))) (pow.f64 (-.f64 (.f64 m m) (.f64 n n)) 2)) (fma.f64 1/48 (.f64 (/.f64 (pow.f64 K 3) (/.f64 (pow.f64 (-.f64 m n) 3) (neg.f64 (sin.f64 M)))) (pow.f64 (-.f64 (.f64 m m) (.f64 n n)) 3)) (.f64 -1/2 (.f64 (/.f64 (.f64 (neg.f64 K) (sin.f64 M)) (-.f64 m n)) (-.f64 (.f64 m m) (.f64 n n)))))))
(+.f64 (fma.f64 -1/2 (.f64 (.f64 (/.f64 (+.f64 m n) 1) K) (neg.f64 (sin.f64 M))) (cos.f64 M)) (fma.f64 -1/8 (.f64 (/.f64 (cos.f64 M) (/.f64 (pow.f64 (-.f64 m n) 2) (.f64 K K))) (pow.f64 (-.f64 (.f64 m m) (.f64 n n)) 2)) (/.f64 1/48 (/.f64 (pow.f64 (-.f64 0 (/.f64 -1 (/.f64 (+.f64 m n) 1))) 3) (*.f64 (neg.f64 (sin.f64 M)) (pow.f64 K 3))))))
(cos.f64 (-.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 (pow.f64 K 2) (pow.f64 m 2)) (.f64 (pow.f64 n 2) (pow.f64 K 2))) (-.f64 (.f64 K m) (*.f64 n K)))) M))
(cos.f64 (fma.f64 1/2 (/.f64 (-.f64 (.f64 (.f64 m m) (.f64 K K)) (.f64 (.f64 n n) (.f64 K K))) (-.f64 (.f64 K m) (.f64 K n))) (neg.f64 M)))
(cos.f64 (fma.f64 1/2 (/.f64 (.f64 K (.f64 K (.f64 (+.f64 m n) (-.f64 m n)))) (.f64 K (-.f64 m n))) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 (/.f64 1/2 K) (/.f64 (.f64 K (.f64 K (-.f64 (.f64 m m) (*.f64 n n)))) (-.f64 m n))) M))
(cos.f64 (fma.f64 1/2 (*.f64 (/.f64 (+.f64 m n) 1) K) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 (pow.f64 K 2) (pow.f64 m 2)) (.f64 (pow.f64 n 2) (pow.f64 K 2))) (-.f64 (.f64 K m) (*.f64 n K)))) M))
(cos.f64 (fma.f64 1/2 (/.f64 (-.f64 (.f64 (.f64 m m) (.f64 K K)) (.f64 (.f64 n n) (.f64 K K))) (-.f64 (.f64 K m) (.f64 K n))) (neg.f64 M)))
(cos.f64 (fma.f64 1/2 (/.f64 (.f64 K (.f64 K (.f64 (+.f64 m n) (-.f64 m n)))) (.f64 K (-.f64 m n))) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 (/.f64 1/2 K) (/.f64 (.f64 K (.f64 K (-.f64 (.f64 m m) (*.f64 n n)))) (-.f64 m n))) M))
(cos.f64 (fma.f64 1/2 (*.f64 (/.f64 (+.f64 m n) 1) K) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 (pow.f64 K 2) (pow.f64 m 2)) (.f64 (pow.f64 n 2) (pow.f64 K 2))) (-.f64 (.f64 K m) (*.f64 n K)))) M))
(cos.f64 (fma.f64 1/2 (/.f64 (-.f64 (.f64 (.f64 m m) (.f64 K K)) (.f64 (.f64 n n) (.f64 K K))) (-.f64 (.f64 K m) (.f64 K n))) (neg.f64 M)))
(cos.f64 (fma.f64 1/2 (/.f64 (.f64 K (.f64 K (.f64 (+.f64 m n) (-.f64 m n)))) (.f64 K (-.f64 m n))) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 (/.f64 1/2 K) (/.f64 (.f64 K (.f64 K (-.f64 (.f64 m m) (*.f64 n n)))) (-.f64 m n))) M))
(cos.f64 (fma.f64 1/2 (*.f64 (/.f64 (+.f64 m n) 1) K) (neg.f64 M)))
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(.f64 (-.f64 (.f64 m m) (*.f64 n n)) (/.f64 K (-.f64 m n)))
(*.f64 (/.f64 (+.f64 m n) 1) K)
(/.f64 (*.f64 K (-.f64 (pow.f64 m 2) (pow.f64 n 2))) (-.f64 m n))
(/.f64 K (/.f64 (-.f64 m n) (-.f64 (.f64 m m) (.f64 n n))))
(.f64 (/.f64 K (-.f64 m n)) (.f64 (+.f64 m n) (-.f64 m n)))
(.f64 (-.f64 (.f64 m m) (*.f64 n n)) (/.f64 K (-.f64 m n)))
(*.f64 (/.f64 (+.f64 m n) 1) K)
(/.f64 (*.f64 K (-.f64 (pow.f64 m 2) (pow.f64 n 2))) (-.f64 m n))
(/.f64 K (/.f64 (-.f64 m n) (-.f64 (.f64 m m) (.f64 n n))))
(.f64 (/.f64 K (-.f64 m n)) (.f64 (+.f64 m n) (-.f64 m n)))
(.f64 (-.f64 (.f64 m m) (*.f64 n n)) (/.f64 K (-.f64 m n)))
(*.f64 (/.f64 (+.f64 m n) 1) K)
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(/.f64 K (/.f64 (-.f64 m n) (-.f64 (.f64 m m) (.f64 n n))))
(.f64 (/.f64 K (-.f64 m n)) (.f64 (+.f64 m n) (-.f64 m n)))
(.f64 (-.f64 (.f64 m m) (*.f64 n n)) (/.f64 K (-.f64 m n)))
(*.f64 (/.f64 (+.f64 m n) 1) K)
(.f64 -1 (/.f64 (.f64 K (-.f64 (pow.f64 m 2) (pow.f64 n 2))) (-.f64 (.f64 -1 m) (.f64 -1 n))))
(/.f64 K (/.f64 (-.f64 m n) (-.f64 (.f64 m m) (.f64 n n))))
(.f64 (/.f64 K (-.f64 m n)) (.f64 (+.f64 m n) (-.f64 m n)))
(.f64 (-.f64 (.f64 m m) (*.f64 n n)) (/.f64 K (-.f64 m n)))
(*.f64 (/.f64 (+.f64 m n) 1) K)
(.f64 -1 (/.f64 (.f64 K (-.f64 (pow.f64 m 2) (pow.f64 n 2))) (-.f64 (.f64 -1 m) (.f64 -1 n))))
(/.f64 K (/.f64 (-.f64 m n) (-.f64 (.f64 m m) (.f64 n n))))
(.f64 (/.f64 K (-.f64 m n)) (.f64 (+.f64 m n) (-.f64 m n)))
(.f64 (-.f64 (.f64 m m) (*.f64 n n)) (/.f64 K (-.f64 m n)))
(*.f64 (/.f64 (+.f64 m n) 1) K)
(.f64 -1 (/.f64 (.f64 K (-.f64 (pow.f64 m 2) (pow.f64 n 2))) (-.f64 (.f64 -1 m) (.f64 -1 n))))
(/.f64 K (/.f64 (-.f64 m n) (-.f64 (.f64 m m) (.f64 n n))))
(.f64 (/.f64 K (-.f64 m n)) (.f64 (+.f64 m n) (-.f64 m n)))
(.f64 (-.f64 (.f64 m m) (*.f64 n n)) (/.f64 K (-.f64 m n)))
(*.f64 (/.f64 (+.f64 m n) 1) K)
(*.f64 n K)
(*.f64 K n)
(+.f64 (.f64 n K) (.f64 K m))
(fma.f64 n K (*.f64 K m))
(*.f64 K (+.f64 m n))
(+.f64 (.f64 n K) (.f64 K m))
(fma.f64 n K (*.f64 K m))
(*.f64 K (+.f64 m n))
(+.f64 (.f64 n K) (.f64 K m))
(fma.f64 n K (*.f64 K m))
(*.f64 K (+.f64 m n))
(*.f64 K m)
(+.f64 (.f64 n K) (.f64 K m))
(fma.f64 n K (*.f64 K m))
(*.f64 K (+.f64 m n))
(+.f64 (.f64 n K) (.f64 K m))
(fma.f64 n K (*.f64 K m))
(*.f64 K (+.f64 m n))
(+.f64 (.f64 n K) (.f64 K m))
(fma.f64 n K (*.f64 K m))
(*.f64 K (+.f64 m n))
(*.f64 K m)
(+.f64 (.f64 n K) (.f64 K m))
(fma.f64 n K (*.f64 K m))
(*.f64 K (+.f64 m n))
(+.f64 (.f64 n K) (.f64 K m))
(fma.f64 n K (*.f64 K m))
(*.f64 K (+.f64 m n))
(+.f64 (.f64 n K) (.f64 K m))
(fma.f64 n K (*.f64 K m))
(*.f64 K (+.f64 m n))
(*.f64 K m)
(+.f64 (.f64 n K) (.f64 K m))
(fma.f64 n K (*.f64 K m))
(*.f64 K (+.f64 m n))
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(fma.f64 n K (*.f64 K m))
(*.f64 K (+.f64 m n))
(+.f64 (.f64 n K) (.f64 K m))
(fma.f64 n K (*.f64 K m))
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(*.f64 K n)
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(fma.f64 n K (*.f64 K m))
(*.f64 K (+.f64 m n))
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(fma.f64 n K (*.f64 K m))
(*.f64 K (+.f64 m n))
(+.f64 (.f64 n K) (.f64 K m))
(fma.f64 n K (*.f64 K m))
(*.f64 K (+.f64 m n))
(*.f64 n K)
(*.f64 K n)
(+.f64 (.f64 n K) (.f64 K m))
(fma.f64 n K (*.f64 K m))
(*.f64 K (+.f64 m n))
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(fma.f64 n K (*.f64 K m))
(*.f64 K (+.f64 m n))
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(fma.f64 n K (*.f64 K m))
(*.f64 K (+.f64 m n))
(*.f64 (pow.f64 K 2) (-.f64 (pow.f64 m 2) (pow.f64 n 2)))
(.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K K))
(.f64 K (.f64 K (*.f64 (+.f64 m n) (-.f64 m n))))
(.f64 K (.f64 K (-.f64 (.f64 m m) (.f64 n n))))
(*.f64 (pow.f64 K 2) (-.f64 (pow.f64 m 2) (pow.f64 n 2)))
(.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K K))
(.f64 K (.f64 K (*.f64 (+.f64 m n) (-.f64 m n))))
(.f64 K (.f64 K (-.f64 (.f64 m m) (.f64 n n))))
(*.f64 (pow.f64 K 2) (-.f64 (pow.f64 m 2) (pow.f64 n 2)))
(.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K K))
(.f64 K (.f64 K (*.f64 (+.f64 m n) (-.f64 m n))))
(.f64 K (.f64 K (-.f64 (.f64 m m) (.f64 n n))))
(*.f64 (pow.f64 K 2) (-.f64 (pow.f64 m 2) (pow.f64 n 2)))
(.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K K))
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(*.f64 (pow.f64 K 2) (-.f64 (pow.f64 m 2) (pow.f64 n 2)))
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(.f64 K (.f64 K (-.f64 (.f64 m m) (.f64 n n))))
(*.f64 (pow.f64 K 2) (-.f64 (pow.f64 m 2) (pow.f64 n 2)))
(.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K K))
(.f64 K (.f64 K (*.f64 (+.f64 m n) (-.f64 m n))))
(.f64 K (.f64 K (-.f64 (.f64 m m) (.f64 n n))))
(*.f64 (pow.f64 K 2) (-.f64 (pow.f64 m 2) (pow.f64 n 2)))
(.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K K))
(.f64 K (.f64 K (*.f64 (+.f64 m n) (-.f64 m n))))
(.f64 K (.f64 K (-.f64 (.f64 m m) (.f64 n n))))
(*.f64 (pow.f64 K 2) (-.f64 (pow.f64 m 2) (pow.f64 n 2)))
(.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K K))
(.f64 K (.f64 K (*.f64 (+.f64 m n) (-.f64 m n))))
(.f64 K (.f64 K (-.f64 (.f64 m m) (.f64 n n))))
(*.f64 (pow.f64 K 2) (-.f64 (pow.f64 m 2) (pow.f64 n 2)))
(.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K K))
(.f64 K (.f64 K (*.f64 (+.f64 m n) (-.f64 m n))))
(.f64 K (.f64 K (-.f64 (.f64 m m) (.f64 n n))))
(*.f64 (pow.f64 K 2) (-.f64 (pow.f64 m 2) (pow.f64 n 2)))
(.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K K))
(.f64 K (.f64 K (*.f64 (+.f64 m n) (-.f64 m n))))
(.f64 K (.f64 K (-.f64 (.f64 m m) (.f64 n n))))
(*.f64 (pow.f64 K 2) (-.f64 (pow.f64 m 2) (pow.f64 n 2)))
(.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K K))
(.f64 K (.f64 K (*.f64 (+.f64 m n) (-.f64 m n))))
(.f64 K (.f64 K (-.f64 (.f64 m m) (.f64 n n))))
(*.f64 (pow.f64 K 2) (-.f64 (pow.f64 m 2) (pow.f64 n 2)))
(.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K K))
(.f64 K (.f64 K (*.f64 (+.f64 m n) (-.f64 m n))))
(.f64 K (.f64 K (-.f64 (.f64 m m) (.f64 n n))))
(.f64 -1 (.f64 (pow.f64 n 2) (pow.f64 K 2)))
(neg.f64 (.f64 (.f64 n n) (*.f64 K K)))
(neg.f64 (.f64 (.f64 K n) (*.f64 K n)))
(.f64 (.f64 n n) (*.f64 K (neg.f64 K)))
(.f64 n (.f64 (*.f64 K K) (neg.f64 n)))
(+.f64 (.f64 -1 (.f64 (pow.f64 n 2) (pow.f64 K 2))) (*.f64 (pow.f64 K 2) (pow.f64 m 2)))
(.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K K))
(.f64 K (.f64 K (*.f64 (+.f64 m n) (-.f64 m n))))
(.f64 K (.f64 K (-.f64 (.f64 m m) (.f64 n n))))
(+.f64 (.f64 -1 (.f64 (pow.f64 n 2) (pow.f64 K 2))) (*.f64 (pow.f64 K 2) (pow.f64 m 2)))
(.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K K))
(.f64 K (.f64 K (*.f64 (+.f64 m n) (-.f64 m n))))
(.f64 K (.f64 K (-.f64 (.f64 m m) (.f64 n n))))
(+.f64 (.f64 -1 (.f64 (pow.f64 n 2) (pow.f64 K 2))) (*.f64 (pow.f64 K 2) (pow.f64 m 2)))
(.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K K))
(.f64 K (.f64 K (*.f64 (+.f64 m n) (-.f64 m n))))
(.f64 K (.f64 K (-.f64 (.f64 m m) (.f64 n n))))
(*.f64 (pow.f64 K 2) (pow.f64 m 2))
(.f64 (.f64 m m) (*.f64 K K))
(.f64 (.f64 K m) (*.f64 K m))
(+.f64 (.f64 -1 (.f64 (pow.f64 n 2) (pow.f64 K 2))) (*.f64 (pow.f64 K 2) (pow.f64 m 2)))
(.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K K))
(.f64 K (.f64 K (*.f64 (+.f64 m n) (-.f64 m n))))
(.f64 K (.f64 K (-.f64 (.f64 m m) (.f64 n n))))
(+.f64 (.f64 -1 (.f64 (pow.f64 n 2) (pow.f64 K 2))) (*.f64 (pow.f64 K 2) (pow.f64 m 2)))
(.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K K))
(.f64 K (.f64 K (*.f64 (+.f64 m n) (-.f64 m n))))
(.f64 K (.f64 K (-.f64 (.f64 m m) (.f64 n n))))
(+.f64 (.f64 -1 (.f64 (pow.f64 n 2) (pow.f64 K 2))) (*.f64 (pow.f64 K 2) (pow.f64 m 2)))
(.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K K))
(.f64 K (.f64 K (*.f64 (+.f64 m n) (-.f64 m n))))
(.f64 K (.f64 K (-.f64 (.f64 m m) (.f64 n n))))
(*.f64 (pow.f64 K 2) (pow.f64 m 2))
(.f64 (.f64 m m) (*.f64 K K))
(.f64 (.f64 K m) (*.f64 K m))
(+.f64 (.f64 -1 (.f64 (pow.f64 n 2) (pow.f64 K 2))) (*.f64 (pow.f64 K 2) (pow.f64 m 2)))
(.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K K))
(.f64 K (.f64 K (*.f64 (+.f64 m n) (-.f64 m n))))
(.f64 K (.f64 K (-.f64 (.f64 m m) (.f64 n n))))
(+.f64 (.f64 -1 (.f64 (pow.f64 n 2) (pow.f64 K 2))) (*.f64 (pow.f64 K 2) (pow.f64 m 2)))
(.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K K))
(.f64 K (.f64 K (*.f64 (+.f64 m n) (-.f64 m n))))
(.f64 K (.f64 K (-.f64 (.f64 m m) (.f64 n n))))
(+.f64 (.f64 -1 (.f64 (pow.f64 n 2) (pow.f64 K 2))) (*.f64 (pow.f64 K 2) (pow.f64 m 2)))
(.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K K))
(.f64 K (.f64 K (*.f64 (+.f64 m n) (-.f64 m n))))
(.f64 K (.f64 K (-.f64 (.f64 m m) (.f64 n n))))
(*.f64 (pow.f64 K 2) (pow.f64 m 2))
(.f64 (.f64 m m) (*.f64 K K))
(.f64 (.f64 K m) (*.f64 K m))
(+.f64 (.f64 -1 (.f64 (pow.f64 n 2) (pow.f64 K 2))) (*.f64 (pow.f64 K 2) (pow.f64 m 2)))
(.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K K))
(.f64 K (.f64 K (*.f64 (+.f64 m n) (-.f64 m n))))
(.f64 K (.f64 K (-.f64 (.f64 m m) (.f64 n n))))
(+.f64 (.f64 -1 (.f64 (pow.f64 n 2) (pow.f64 K 2))) (*.f64 (pow.f64 K 2) (pow.f64 m 2)))
(.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K K))
(.f64 K (.f64 K (*.f64 (+.f64 m n) (-.f64 m n))))
(.f64 K (.f64 K (-.f64 (.f64 m m) (.f64 n n))))
(+.f64 (.f64 -1 (.f64 (pow.f64 n 2) (pow.f64 K 2))) (*.f64 (pow.f64 K 2) (pow.f64 m 2)))
(.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K K))
(.f64 K (.f64 K (*.f64 (+.f64 m n) (-.f64 m n))))
(.f64 K (.f64 K (-.f64 (.f64 m m) (.f64 n n))))
(.f64 -1 (.f64 (pow.f64 n 2) (pow.f64 K 2)))
(neg.f64 (.f64 (.f64 n n) (*.f64 K K)))
(neg.f64 (.f64 (.f64 K n) (*.f64 K n)))
(.f64 (.f64 n n) (*.f64 K (neg.f64 K)))
(.f64 n (.f64 (*.f64 K K) (neg.f64 n)))
(+.f64 (.f64 -1 (.f64 (pow.f64 n 2) (pow.f64 K 2))) (*.f64 (pow.f64 K 2) (pow.f64 m 2)))
(.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K K))
(.f64 K (.f64 K (*.f64 (+.f64 m n) (-.f64 m n))))
(.f64 K (.f64 K (-.f64 (.f64 m m) (.f64 n n))))
(+.f64 (.f64 -1 (.f64 (pow.f64 n 2) (pow.f64 K 2))) (*.f64 (pow.f64 K 2) (pow.f64 m 2)))
(.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K K))
(.f64 K (.f64 K (*.f64 (+.f64 m n) (-.f64 m n))))
(.f64 K (.f64 K (-.f64 (.f64 m m) (.f64 n n))))
(+.f64 (.f64 -1 (.f64 (pow.f64 n 2) (pow.f64 K 2))) (*.f64 (pow.f64 K 2) (pow.f64 m 2)))
(.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K K))
(.f64 K (.f64 K (*.f64 (+.f64 m n) (-.f64 m n))))
(.f64 K (.f64 K (-.f64 (.f64 m m) (.f64 n n))))
(.f64 -1 (.f64 (pow.f64 n 2) (pow.f64 K 2)))
(neg.f64 (.f64 (.f64 n n) (*.f64 K K)))
(neg.f64 (.f64 (.f64 K n) (*.f64 K n)))
(.f64 (.f64 n n) (*.f64 K (neg.f64 K)))
(.f64 n (.f64 (*.f64 K K) (neg.f64 n)))
(+.f64 (.f64 -1 (.f64 (pow.f64 n 2) (pow.f64 K 2))) (*.f64 (pow.f64 K 2) (pow.f64 m 2)))
(.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K K))
(.f64 K (.f64 K (*.f64 (+.f64 m n) (-.f64 m n))))
(.f64 K (.f64 K (-.f64 (.f64 m m) (.f64 n n))))
(+.f64 (.f64 -1 (.f64 (pow.f64 n 2) (pow.f64 K 2))) (*.f64 (pow.f64 K 2) (pow.f64 m 2)))
(.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K K))
(.f64 K (.f64 K (*.f64 (+.f64 m n) (-.f64 m n))))
(.f64 K (.f64 K (-.f64 (.f64 m m) (.f64 n n))))
(+.f64 (.f64 -1 (.f64 (pow.f64 n 2) (pow.f64 K 2))) (*.f64 (pow.f64 K 2) (pow.f64 m 2)))
(.f64 (-.f64 (.f64 m m) (.f64 n n)) (.f64 K K))
(.f64 K (.f64 K (*.f64 (+.f64 m n) (-.f64 m n))))
(.f64 K (.f64 K (-.f64 (.f64 m m) (.f64 n n))))
(*.f64 K (-.f64 m n))
(*.f64 K (-.f64 m n))
(*.f64 K (-.f64 m n))
(*.f64 K (-.f64 m n))
(*.f64 K (-.f64 m n))
(*.f64 K (-.f64 m n))
(*.f64 K (-.f64 m n))
(*.f64 K (-.f64 m n))
(.f64 -1 (.f64 K (-.f64 (.f64 -1 m) (.f64 -1 n))))
(*.f64 K (-.f64 m n))
(.f64 -1 (.f64 K (-.f64 (.f64 -1 m) (.f64 -1 n))))
(*.f64 K (-.f64 m n))
(.f64 -1 (.f64 K (-.f64 (.f64 -1 m) (.f64 -1 n))))
(*.f64 K (-.f64 m n))
(.f64 -1 (.f64 K (-.f64 (.f64 -1 m) (.f64 -1 n))))
(*.f64 K (-.f64 m n))
(.f64 -1 (.f64 n K))
(*.f64 (neg.f64 n) K)
(*.f64 n (neg.f64 K))
(+.f64 (.f64 -1 (.f64 n K)) (*.f64 K m))
(*.f64 K (-.f64 m n))
(+.f64 (.f64 -1 (.f64 n K)) (*.f64 K m))
(*.f64 K (-.f64 m n))
(+.f64 (.f64 -1 (.f64 n K)) (*.f64 K m))
(*.f64 K (-.f64 m n))
(*.f64 K m)
(+.f64 (.f64 -1 (.f64 n K)) (*.f64 K m))
(*.f64 K (-.f64 m n))
(+.f64 (.f64 -1 (.f64 n K)) (*.f64 K m))
(*.f64 K (-.f64 m n))
(+.f64 (.f64 -1 (.f64 n K)) (*.f64 K m))
(*.f64 K (-.f64 m n))
(*.f64 K m)
(+.f64 (.f64 -1 (.f64 n K)) (*.f64 K m))
(*.f64 K (-.f64 m n))
(+.f64 (.f64 -1 (.f64 n K)) (*.f64 K m))
(*.f64 K (-.f64 m n))
(+.f64 (.f64 -1 (.f64 n K)) (*.f64 K m))
(*.f64 K (-.f64 m n))
(*.f64 K m)
(+.f64 (.f64 -1 (.f64 n K)) (*.f64 K m))
(*.f64 K (-.f64 m n))
(+.f64 (.f64 -1 (.f64 n K)) (*.f64 K m))
(*.f64 K (-.f64 m n))
(+.f64 (.f64 -1 (.f64 n K)) (*.f64 K m))
(*.f64 K (-.f64 m n))
(.f64 -1 (.f64 n K))
(*.f64 (neg.f64 n) K)
(*.f64 n (neg.f64 K))
(+.f64 (.f64 -1 (.f64 n K)) (*.f64 K m))
(*.f64 K (-.f64 m n))
(+.f64 (.f64 -1 (.f64 n K)) (*.f64 K m))
(*.f64 K (-.f64 m n))
(+.f64 (.f64 -1 (.f64 n K)) (*.f64 K m))
(*.f64 K (-.f64 m n))
(.f64 -1 (.f64 n K))
(*.f64 (neg.f64 n) K)
(*.f64 n (neg.f64 K))
(+.f64 (.f64 -1 (.f64 n K)) (*.f64 K m))
(*.f64 K (-.f64 m n))
(+.f64 (.f64 -1 (.f64 n K)) (*.f64 K m))
(*.f64 K (-.f64 m n))
(+.f64 (.f64 -1 (.f64 n K)) (*.f64 K m))
(*.f64 K (-.f64 m n))

localize84.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 K (+.f64 m n))
✓	0.2b	(pow.f64 (*.f64 K (+.f64 m n)) 3)
✓	17.8b	(cos.f64 (-.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3) 1/3) 2) M))
✓	33.0b	(pow.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3) 1/3)

Compiler

Compiled 187 to 88 computations (52.9% saved)

series122.0ms (0.8%)

Counts

3 → 120

Calls

30 calls:

Time	Variable		Point	Expression
87.0ms	m	@	inf	(pow.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3) 1/3)
6.0ms	m	@	-inf	(cos.f64 (-.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3) 1/3) 2) M))
3.0ms	n	@	0	(pow.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3) 1/3)
3.0ms	m	@	-inf	(pow.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3) 1/3)
2.0ms	n	@	-inf	(pow.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3) 1/3)

rewrite88.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

750×	`log-prod_binary64`
447×	`fma-def_binary64`
286×	`expm1-udef_binary64`
286×	`log1p-udef_binary64`
242×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	32
1	359	32
2	4584	32

Stop Event

1×	node limit

Counts

3 → 154

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 K (+.f64 m n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 K m) (pow.f64 (*.f64 K (+.f64 m n)) 2)) (*.f64 (*.f64 K n) (pow.f64 (*.f64 K (+.f64 m n)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (*.f64 K (+.f64 m n)) 2) (*.f64 K m)) (*.f64 (pow.f64 (*.f64 K (+.f64 m n)) 2) (*.f64 K n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3))) (cbrt.f64 (exp.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 K (*.f64 (+.f64 m n) (pow.f64 (*.f64 K (+.f64 m n)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 m n) (*.f64 K (pow.f64 (*.f64 K (+.f64 m n)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 K (+.f64 m n)) (pow.f64 (*.f64 K (+.f64 m n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 K (+.f64 m n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 K (+.f64 m n)) 2) (*.f64 K (+.f64 m n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) 2) (*.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) (pow.f64 (*.f64 K (+.f64 m n)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 K (+.f64 m n))) (*.f64 (sqrt.f64 (*.f64 K (+.f64 m n))) (pow.f64 (*.f64 K (+.f64 m n)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 K 3) (pow.f64 (+.f64 m n) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 m n) 3) (pow.f64 K 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3/2) (pow.f64 (*.f64 K (+.f64 m n)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) 2) 3) (*.f64 K (+.f64 m n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 K (+.f64 m n))) 3) (pow.f64 (sqrt.f64 (*.f64 K (+.f64 m n))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 K (+.f64 m n)) 2) K) (+.f64 m n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 K (+.f64 m n)) 2) (+.f64 m n)) K)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 K (+.f64 m n)) 2) 1) (*.f64 K (+.f64 m n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 K (+.f64 m n)) 2) (pow.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) 2)) (cbrt.f64 (*.f64 K (+.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 K (+.f64 m n)) 2) (sqrt.f64 (*.f64 K (+.f64 m n)))) (sqrt.f64 (*.f64 K (+.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 K (+.f64 m n)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (*.f64 K (+.f64 m n)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 K (+.f64 m n)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 K (+.f64 m n)) 2) (*.f64 K m) (*.f64 (pow.f64 (*.f64 K (+.f64 m n)) 2) (*.f64 K n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 K m) (pow.f64 (*.f64 K (+.f64 m n)) 2) (*.f64 (*.f64 K n) (pow.f64 (*.f64 K (+.f64 m n)) 2)))))))

simplify154.0ms (1%)

Algorithm

1×	egg-herbie

Rules

546×	`associate-r_binary64`
494×	`fma-neg_binary64`
412×	`fma-def_binary64`
390×	`associate-l_binary64`
369×	`unswap-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	383	4446
1	1419	4381
2	6301	4381

Stop Event

1×	node limit

Counts

274 → 267

Calls

Call 1

Inputs
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(.f64 -1 (.f64 K (*.f64 (cbrt.f64 -1) (+.f64 n m))))
(.f64 -1 (.f64 K (*.f64 (cbrt.f64 -1) (+.f64 n m))))
(.f64 -1 (.f64 K (*.f64 (cbrt.f64 -1) (+.f64 n m))))
(.f64 -1 (.f64 K (*.f64 (cbrt.f64 -1) (+.f64 n m))))
(*.f64 n K)
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 n 2) (pow.f64 K 2))) 1/3) (.f64 (+.f64 (.f64 (pow.f64 n 2) (pow.f64 K 3)) (.f64 2 (.f64 (pow.f64 n 2) (pow.f64 K 3)))) m))) (.f64 n K))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 n 2) (pow.f64 K 2))) 1/3) (.f64 (+.f64 (.f64 (pow.f64 n 2) (pow.f64 K 3)) (.f64 2 (.f64 (pow.f64 n 2) (pow.f64 K 3)))) m))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 2 (.f64 n (pow.f64 K 3))) (.f64 n (pow.f64 K 3))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 n K)) 1/3) (pow.f64 (+.f64 (.f64 (pow.f64 n 2) (pow.f64 K 3)) (.f64 2 (.f64 (pow.f64 n 2) (pow.f64 K 3)))) 2)))) (pow.f64 m 2)) (.f64 (pow.f64 n 2) (pow.f64 K 2)))) (.f64 n K)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 n 2) (pow.f64 K 2))) 1/3) (.f64 (+.f64 (.f64 (pow.f64 n 2) (pow.f64 K 3)) (.f64 2 (.f64 (pow.f64 n 2) (pow.f64 K 3)))) m))) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 m 3) (-.f64 (pow.f64 K 3) (+.f64 (.f64 1/27 (/.f64 (pow.f64 (+.f64 (.f64 (pow.f64 n 2) (pow.f64 K 3)) (.f64 2 (.f64 (pow.f64 n 2) (pow.f64 K 3)))) 3) (.f64 (pow.f64 n 2) (pow.f64 K 2)))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 n 5) (pow.f64 K 5))) 1/3) (.f64 (+.f64 (.f64 (pow.f64 n 2) (pow.f64 K 3)) (.f64 2 (.f64 (pow.f64 n 2) (pow.f64 K 3)))) (-.f64 (+.f64 (.f64 2 (.f64 n (pow.f64 K 3))) (.f64 n (pow.f64 K 3))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 n K)) 1/3) (pow.f64 (+.f64 (.f64 (pow.f64 n 2) (pow.f64 K 3)) (.f64 2 (.f64 (pow.f64 n 2) (pow.f64 K 3)))) 2)))))))))) (.f64 (pow.f64 n 2) (pow.f64 K 2)))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 2 (.f64 n (pow.f64 K 3))) (.f64 n (pow.f64 K 3))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 n K)) 1/3) (pow.f64 (+.f64 (.f64 (pow.f64 n 2) (pow.f64 K 3)) (.f64 2 (.f64 (pow.f64 n 2) (pow.f64 K 3)))) 2)))) (pow.f64 m 2)) (.f64 (pow.f64 n 2) (pow.f64 K 2)))) (.f64 n K))))
(*.f64 K m)
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 K 2)) 1/3) (+.f64 (.f64 2 (.f64 n (pow.f64 K 3))) (.f64 n (pow.f64 K 3))))) (.f64 K m))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 K 2)) 1/3) (+.f64 (.f64 2 (.f64 n (pow.f64 K 3))) (.f64 n (pow.f64 K 3))))) (+.f64 (.f64 1/3 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 n 2) (pow.f64 K 3)) (.f64 2 (.f64 (pow.f64 n 2) (pow.f64 K 3)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 K) 1/3) (pow.f64 (+.f64 (.f64 2 (.f64 n (pow.f64 K 3))) (.f64 n (pow.f64 K 3))) 2)))) (.f64 (pow.f64 K 2) m))) (.f64 K m)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 K 2)) 1/3) (+.f64 (.f64 2 (.f64 n (pow.f64 K 3))) (.f64 n (pow.f64 K 3))))) (+.f64 (.f64 1/3 (/.f64 (-.f64 (.f64 (pow.f64 n 3) (pow.f64 K 3)) (+.f64 (.f64 1/27 (/.f64 (pow.f64 (+.f64 (.f64 2 (.f64 n (pow.f64 K 3))) (.f64 n (pow.f64 K 3))) 3) (pow.f64 K 2))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 K 5)) 1/3) (.f64 (+.f64 (.f64 2 (.f64 n (pow.f64 K 3))) (.f64 n (pow.f64 K 3))) (-.f64 (+.f64 (.f64 (pow.f64 n 2) (pow.f64 K 3)) (.f64 2 (.f64 (pow.f64 n 2) (pow.f64 K 3)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 K) 1/3) (pow.f64 (+.f64 (.f64 2 (.f64 n (pow.f64 K 3))) (.f64 n (pow.f64 K 3))) 2))))))))) (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (+.f64 (.f64 1/3 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 n 2) (pow.f64 K 3)) (.f64 2 (.f64 (pow.f64 n 2) (pow.f64 K 3)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 K) 1/3) (pow.f64 (+.f64 (.f64 2 (.f64 n (pow.f64 K 3))) (.f64 n (pow.f64 K 3))) 2)))) (.f64 (pow.f64 K 2) m))) (*.f64 K m))))
(.f64 -1 (.f64 K (*.f64 (cbrt.f64 -1) m)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 K 2) (pow.f64 (cbrt.f64 -1) 2))) 1/3) (+.f64 (.f64 2 (.f64 n (pow.f64 K 3))) (.f64 n (pow.f64 K 3))))) (.f64 -1 (.f64 K (*.f64 (cbrt.f64 -1) m))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 K 2) (pow.f64 (cbrt.f64 -1) 2))) 1/3) (+.f64 (.f64 2 (.f64 n (pow.f64 K 3))) (.f64 n (pow.f64 K 3))))) (+.f64 (.f64 -1/3 (/.f64 (-.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 n 2) (pow.f64 K 3))) (.f64 -2 (.f64 (pow.f64 n 2) (pow.f64 K 3)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 K (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (.f64 2 (.f64 n (pow.f64 K 3))) (.f64 n (pow.f64 K 3))) 2)))) (.f64 (pow.f64 K 2) (.f64 (pow.f64 (cbrt.f64 -1) 2) m)))) (.f64 -1 (.f64 K (.f64 (cbrt.f64 -1) m)))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 K 2) (pow.f64 (cbrt.f64 -1) 2))) 1/3) (+.f64 (.f64 2 (.f64 n (pow.f64 K 3))) (.f64 n (pow.f64 K 3))))) (+.f64 (.f64 1/3 (/.f64 (-.f64 (.f64 (pow.f64 n 3) (pow.f64 K 3)) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 K 5) (pow.f64 (cbrt.f64 -1) 5))) 1/3) (.f64 (+.f64 (.f64 2 (.f64 n (pow.f64 K 3))) (.f64 n (pow.f64 K 3))) (-.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 n 2) (pow.f64 K 3))) (.f64 -2 (.f64 (pow.f64 n 2) (pow.f64 K 3)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 K (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (.f64 2 (.f64 n (pow.f64 K 3))) (.f64 n (pow.f64 K 3))) 2))))))) (.f64 1/27 (/.f64 (pow.f64 (+.f64 (.f64 2 (.f64 n (pow.f64 K 3))) (.f64 n (pow.f64 K 3))) 3) (.f64 (pow.f64 K 2) (pow.f64 (cbrt.f64 -1) 2)))))) (.f64 (pow.f64 K 2) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 m 2))))) (+.f64 (.f64 -1/3 (/.f64 (-.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 n 2) (pow.f64 K 3))) (.f64 -2 (.f64 (pow.f64 n 2) (pow.f64 K 3)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 K (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (.f64 2 (.f64 n (pow.f64 K 3))) (.f64 n (pow.f64 K 3))) 2)))) (.f64 (pow.f64 K 2) (.f64 (pow.f64 (cbrt.f64 -1) 2) m)))) (.f64 -1 (.f64 K (.f64 (cbrt.f64 -1) m))))))
(*.f64 K m)
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(cos.f64 (neg.f64 M))
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(*.f64 (pow.f64 K 3) (pow.f64 m 3))
(+.f64 (.f64 (pow.f64 K 3) (pow.f64 m 3)) (.f64 n (+.f64 (.f64 2 (.f64 (pow.f64 K 3) (pow.f64 m 2))) (*.f64 (pow.f64 K 3) (pow.f64 m 2)))))
(+.f64 (.f64 (pow.f64 n 2) (+.f64 (.f64 (pow.f64 K 3) m) (.f64 2 (.f64 (pow.f64 K 3) m)))) (+.f64 (.f64 (pow.f64 K 3) (pow.f64 m 3)) (.f64 n (+.f64 (.f64 2 (.f64 (pow.f64 K 3) (pow.f64 m 2))) (*.f64 (pow.f64 K 3) (pow.f64 m 2))))))
(+.f64 (.f64 (pow.f64 n 2) (+.f64 (.f64 (pow.f64 K 3) m) (.f64 2 (.f64 (pow.f64 K 3) m)))) (+.f64 (.f64 (pow.f64 K 3) (pow.f64 m 3)) (+.f64 (.f64 (pow.f64 n 3) (pow.f64 K 3)) (.f64 n (+.f64 (.f64 2 (.f64 (pow.f64 K 3) (pow.f64 m 2))) (.f64 (pow.f64 K 3) (pow.f64 m 2)))))))
(*.f64 (pow.f64 n 3) (pow.f64 K 3))
(+.f64 (.f64 (pow.f64 n 2) (+.f64 (.f64 2 (.f64 (pow.f64 K 3) m)) (.f64 (pow.f64 K 3) m))) (*.f64 (pow.f64 n 3) (pow.f64 K 3)))
(+.f64 (.f64 n (+.f64 (.f64 (pow.f64 K 3) (pow.f64 m 2)) (.f64 2 (.f64 (pow.f64 K 3) (pow.f64 m 2))))) (+.f64 (.f64 (pow.f64 n 2) (+.f64 (.f64 2 (.f64 (pow.f64 K 3) m)) (.f64 (pow.f64 K 3) m))) (*.f64 (pow.f64 n 3) (pow.f64 K 3))))
(+.f64 (.f64 n (+.f64 (.f64 (pow.f64 K 3) (pow.f64 m 2)) (.f64 2 (.f64 (pow.f64 K 3) (pow.f64 m 2))))) (+.f64 (.f64 (pow.f64 K 3) (pow.f64 m 3)) (+.f64 (.f64 (pow.f64 n 2) (+.f64 (.f64 2 (.f64 (pow.f64 K 3) m)) (.f64 (pow.f64 K 3) m))) (.f64 (pow.f64 n 3) (pow.f64 K 3)))))
(*.f64 (pow.f64 n 3) (pow.f64 K 3))
(+.f64 (.f64 (pow.f64 n 2) (+.f64 (.f64 2 (.f64 (pow.f64 K 3) m)) (.f64 (pow.f64 K 3) m))) (*.f64 (pow.f64 n 3) (pow.f64 K 3)))
(+.f64 (.f64 -1 (.f64 n (+.f64 (.f64 -2 (.f64 (pow.f64 K 3) (pow.f64 m 2))) (.f64 -1 (.f64 (pow.f64 K 3) (pow.f64 m 2)))))) (+.f64 (.f64 (pow.f64 n 2) (+.f64 (.f64 2 (.f64 (pow.f64 K 3) m)) (.f64 (pow.f64 K 3) m))) (*.f64 (pow.f64 n 3) (pow.f64 K 3))))
(+.f64 (.f64 -1 (.f64 n (+.f64 (.f64 -2 (.f64 (pow.f64 K 3) (pow.f64 m 2))) (.f64 -1 (.f64 (pow.f64 K 3) (pow.f64 m 2)))))) (+.f64 (.f64 (pow.f64 K 3) (pow.f64 m 3)) (+.f64 (.f64 (pow.f64 n 2) (+.f64 (.f64 2 (.f64 (pow.f64 K 3) m)) (.f64 (pow.f64 K 3) m))) (.f64 (pow.f64 n 3) (pow.f64 K 3)))))

Outputs
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(*.f64 K (+.f64 n m))
(.f64 -1 (.f64 K (*.f64 (cbrt.f64 -1) (+.f64 n m))))
(neg.f64 (.f64 K (.f64 (+.f64 n m) (cbrt.f64 -1))))
(.f64 (.f64 K (+.f64 n m)) (neg.f64 (cbrt.f64 -1)))
(.f64 -1 (.f64 K (*.f64 (cbrt.f64 -1) (+.f64 n m))))
(neg.f64 (.f64 K (.f64 (+.f64 n m) (cbrt.f64 -1))))
(.f64 (.f64 K (+.f64 n m)) (neg.f64 (cbrt.f64 -1)))
(.f64 -1 (.f64 K (*.f64 (cbrt.f64 -1) (+.f64 n m))))
(neg.f64 (.f64 K (.f64 (+.f64 n m) (cbrt.f64 -1))))
(.f64 (.f64 K (+.f64 n m)) (neg.f64 (cbrt.f64 -1)))
(.f64 -1 (.f64 K (*.f64 (cbrt.f64 -1) (+.f64 n m))))
(neg.f64 (.f64 K (.f64 (+.f64 n m) (cbrt.f64 -1))))
(.f64 (.f64 K (+.f64 n m)) (neg.f64 (cbrt.f64 -1)))
(*.f64 n K)
(*.f64 K n)
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 n 2) (pow.f64 K 2))) 1/3) (.f64 (+.f64 (.f64 (pow.f64 n 2) (pow.f64 K 3)) (.f64 2 (.f64 (pow.f64 n 2) (pow.f64 K 3)))) m))) (.f64 n K))
(fma.f64 1/3 (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 n n)) (.f64 K K))) (.f64 3 (.f64 (.f64 n n) (pow.f64 K 3)))) m) (.f64 K n))
(fma.f64 K n (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 (.f64 n n) K) K))) (.f64 (.f64 m (.f64 3 (.f64 n (*.f64 n (pow.f64 K 3))))) 1/3)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 n 2) (pow.f64 K 2))) 1/3) (.f64 (+.f64 (.f64 (pow.f64 n 2) (pow.f64 K 3)) (.f64 2 (.f64 (pow.f64 n 2) (pow.f64 K 3)))) m))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 2 (.f64 n (pow.f64 K 3))) (.f64 n (pow.f64 K 3))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 n K)) 1/3) (pow.f64 (+.f64 (.f64 (pow.f64 n 2) (pow.f64 K 3)) (.f64 2 (.f64 (pow.f64 n 2) (pow.f64 K 3)))) 2)))) (pow.f64 m 2)) (.f64 (pow.f64 n 2) (pow.f64 K 2)))) (.f64 n K)))
(fma.f64 1/3 (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 n n)) (.f64 K K))) (.f64 3 (.f64 (.f64 n n) (pow.f64 K 3)))) m) (fma.f64 1/3 (.f64 (/.f64 (-.f64 (.f64 3 (.f64 n (pow.f64 K 3))) (.f64 (.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 n) K))) (pow.f64 (.f64 3 (.f64 (.f64 n n) (pow.f64 K 3))) 2))) (.f64 n n)) (/.f64 (.f64 m m) (.f64 K K))) (*.f64 K n)))
(fma.f64 1/3 (.f64 m (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 (.f64 n n) K) K))) (.f64 3 (.f64 n (.f64 n (pow.f64 K 3)))))) (fma.f64 K n (.f64 (/.f64 (fma.f64 3 (.f64 n (pow.f64 K 3)) (.f64 (.f64 -1/3 (cbrt.f64 (/.f64 (/.f64 1 n) K))) (pow.f64 (.f64 3 (.f64 n (.f64 n (pow.f64 K 3)))) 2))) (.f64 n n)) (.f64 (/.f64 (/.f64 (.f64 m m) K) K) 1/3))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 n 2) (pow.f64 K 2))) 1/3) (.f64 (+.f64 (.f64 (pow.f64 n 2) (pow.f64 K 3)) (.f64 2 (.f64 (pow.f64 n 2) (pow.f64 K 3)))) m))) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 m 3) (-.f64 (pow.f64 K 3) (+.f64 (.f64 1/27 (/.f64 (pow.f64 (+.f64 (.f64 (pow.f64 n 2) (pow.f64 K 3)) (.f64 2 (.f64 (pow.f64 n 2) (pow.f64 K 3)))) 3) (.f64 (pow.f64 n 2) (pow.f64 K 2)))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 n 5) (pow.f64 K 5))) 1/3) (.f64 (+.f64 (.f64 (pow.f64 n 2) (pow.f64 K 3)) (.f64 2 (.f64 (pow.f64 n 2) (pow.f64 K 3)))) (-.f64 (+.f64 (.f64 2 (.f64 n (pow.f64 K 3))) (.f64 n (pow.f64 K 3))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 n K)) 1/3) (pow.f64 (+.f64 (.f64 (pow.f64 n 2) (pow.f64 K 3)) (.f64 2 (.f64 (pow.f64 n 2) (pow.f64 K 3)))) 2)))))))))) (.f64 (pow.f64 n 2) (pow.f64 K 2)))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 2 (.f64 n (pow.f64 K 3))) (.f64 n (pow.f64 K 3))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 n K)) 1/3) (pow.f64 (+.f64 (.f64 (pow.f64 n 2) (pow.f64 K 3)) (.f64 2 (.f64 (pow.f64 n 2) (pow.f64 K 3)))) 2)))) (pow.f64 m 2)) (.f64 (pow.f64 n 2) (pow.f64 K 2)))) (.f64 n K))))
(fma.f64 1/3 (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 n n)) (.f64 K K))) (.f64 3 (.f64 (.f64 n n) (pow.f64 K 3)))) m) (fma.f64 1/3 (.f64 (/.f64 (pow.f64 m 3) (.f64 n n)) (/.f64 (-.f64 (pow.f64 K 3) (fma.f64 1/27 (/.f64 (pow.f64 (.f64 3 (.f64 (.f64 n n) (pow.f64 K 3))) 3) (.f64 (.f64 n n) (.f64 K K))) (.f64 (.f64 2/3 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 n 5)) (pow.f64 K 5)))) (.f64 (.f64 3 (.f64 (.f64 n n) (pow.f64 K 3))) (-.f64 (.f64 3 (.f64 n (pow.f64 K 3))) (.f64 (.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 n) K))) (pow.f64 (.f64 3 (.f64 (.f64 n n) (pow.f64 K 3))) 2))))))) (.f64 K K))) (fma.f64 1/3 (.f64 (/.f64 (-.f64 (.f64 3 (.f64 n (pow.f64 K 3))) (.f64 (.f64 1/3 (cbrt.f64 (/.f64 (/.f64 1 n) K))) (pow.f64 (.f64 3 (.f64 (.f64 n n) (pow.f64 K 3))) 2))) (.f64 n n)) (/.f64 (.f64 m m) (.f64 K K))) (*.f64 K n))))
(fma.f64 1/3 (.f64 m (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 (.f64 n n) K) K))) (.f64 3 (.f64 n (.f64 n (pow.f64 K 3)))))) (fma.f64 1/3 (.f64 (/.f64 (pow.f64 m 3) (.f64 (.f64 (.f64 n n) K) K)) (-.f64 (pow.f64 K 3) (fma.f64 2/3 (.f64 (fma.f64 3 (.f64 n (pow.f64 K 3)) (.f64 (.f64 -1/3 (cbrt.f64 (/.f64 (/.f64 1 n) K))) (pow.f64 (.f64 3 (.f64 n (.f64 n (pow.f64 K 3)))) 2))) (.f64 (.f64 3 (.f64 n (.f64 n (pow.f64 K 3)))) (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 n 5)) (pow.f64 K 5))))) (.f64 (/.f64 1/27 (.f64 K K)) (/.f64 (.f64 27 (pow.f64 (.f64 n (.f64 n (pow.f64 K 3))) 3)) (.f64 n n)))))) (fma.f64 K n (.f64 (/.f64 (fma.f64 3 (.f64 n (pow.f64 K 3)) (.f64 (.f64 -1/3 (cbrt.f64 (/.f64 (/.f64 1 n) K))) (pow.f64 (.f64 3 (.f64 n (.f64 n (pow.f64 K 3)))) 2))) (.f64 n n)) (.f64 (/.f64 (/.f64 (*.f64 m m) K) K) 1/3)))))
(*.f64 K m)
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 K 2)) 1/3) (+.f64 (.f64 2 (.f64 n (pow.f64 K 3))) (.f64 n (pow.f64 K 3))))) (.f64 K m))
(fma.f64 1/3 (.f64 (.f64 3 (.f64 n (pow.f64 K 3))) (cbrt.f64 (/.f64 1 (.f64 K K)))) (*.f64 K m))
(fma.f64 K m (.f64 (cbrt.f64 (/.f64 1 (.f64 K K))) (.f64 (.f64 3 (*.f64 n (pow.f64 K 3))) 1/3)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 K 2)) 1/3) (+.f64 (.f64 2 (.f64 n (pow.f64 K 3))) (.f64 n (pow.f64 K 3))))) (+.f64 (.f64 1/3 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 n 2) (pow.f64 K 3)) (.f64 2 (.f64 (pow.f64 n 2) (pow.f64 K 3)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 K) 1/3) (pow.f64 (+.f64 (.f64 2 (.f64 n (pow.f64 K 3))) (.f64 n (pow.f64 K 3))) 2)))) (.f64 (pow.f64 K 2) m))) (.f64 K m)))
(fma.f64 1/3 (.f64 (.f64 3 (.f64 n (pow.f64 K 3))) (cbrt.f64 (/.f64 1 (.f64 K K)))) (fma.f64 1/3 (/.f64 (+.f64 (.f64 3 (.f64 (.f64 n n) (pow.f64 K 3))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 K)) (pow.f64 (.f64 3 (.f64 n (pow.f64 K 3))) 2)))) (.f64 m (.f64 K K))) (.f64 K m)))
(fma.f64 1/3 (.f64 3 (.f64 (.f64 n (pow.f64 K 3)) (cbrt.f64 (/.f64 1 (.f64 K K))))) (fma.f64 1/3 (/.f64 (fma.f64 3 (.f64 n (.f64 n (pow.f64 K 3))) (.f64 (.f64 (cbrt.f64 (/.f64 1 K)) (pow.f64 (.f64 3 (.f64 n (pow.f64 K 3))) 2)) -1/3)) (.f64 m (.f64 K K))) (*.f64 K m)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 K 2)) 1/3) (+.f64 (.f64 2 (.f64 n (pow.f64 K 3))) (.f64 n (pow.f64 K 3))))) (+.f64 (.f64 1/3 (/.f64 (-.f64 (.f64 (pow.f64 n 3) (pow.f64 K 3)) (+.f64 (.f64 1/27 (/.f64 (pow.f64 (+.f64 (.f64 2 (.f64 n (pow.f64 K 3))) (.f64 n (pow.f64 K 3))) 3) (pow.f64 K 2))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 K 5)) 1/3) (.f64 (+.f64 (.f64 2 (.f64 n (pow.f64 K 3))) (.f64 n (pow.f64 K 3))) (-.f64 (+.f64 (.f64 (pow.f64 n 2) (pow.f64 K 3)) (.f64 2 (.f64 (pow.f64 n 2) (pow.f64 K 3)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 K) 1/3) (pow.f64 (+.f64 (.f64 2 (.f64 n (pow.f64 K 3))) (.f64 n (pow.f64 K 3))) 2))))))))) (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (+.f64 (.f64 1/3 (/.f64 (-.f64 (+.f64 (.f64 (pow.f64 n 2) (pow.f64 K 3)) (.f64 2 (.f64 (pow.f64 n 2) (pow.f64 K 3)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 K) 1/3) (pow.f64 (+.f64 (.f64 2 (.f64 n (pow.f64 K 3))) (.f64 n (pow.f64 K 3))) 2)))) (.f64 (pow.f64 K 2) m))) (*.f64 K m))))
(fma.f64 1/3 (.f64 (.f64 3 (.f64 n (pow.f64 K 3))) (cbrt.f64 (/.f64 1 (.f64 K K)))) (fma.f64 1/3 (/.f64 (-.f64 (.f64 (pow.f64 K 3) (pow.f64 n 3)) (fma.f64 1/27 (/.f64 (pow.f64 (.f64 3 (.f64 n (pow.f64 K 3))) 3) (.f64 K K)) (.f64 2/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 K 5))) (.f64 3 (.f64 n (pow.f64 K 3)))) (+.f64 (.f64 3 (.f64 (.f64 n n) (pow.f64 K 3))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 K)) (pow.f64 (.f64 3 (.f64 n (pow.f64 K 3))) 2)))))))) (.f64 (.f64 K K) (.f64 m m))) (fma.f64 1/3 (/.f64 (+.f64 (.f64 3 (.f64 (.f64 n n) (pow.f64 K 3))) (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 K)) (pow.f64 (.f64 3 (.f64 n (pow.f64 K 3))) 2)))) (.f64 m (.f64 K K))) (*.f64 K m))))
(fma.f64 1/3 (.f64 3 (.f64 (.f64 n (pow.f64 K 3)) (cbrt.f64 (/.f64 1 (.f64 K K))))) (fma.f64 1/3 (/.f64 (-.f64 (.f64 (pow.f64 K 3) (pow.f64 n 3)) (fma.f64 2/3 (.f64 (.f64 3 (.f64 n (pow.f64 K 3))) (.f64 (fma.f64 3 (.f64 n (.f64 n (pow.f64 K 3))) (.f64 (.f64 (cbrt.f64 (/.f64 1 K)) (pow.f64 (.f64 3 (.f64 n (pow.f64 K 3))) 2)) -1/3)) (cbrt.f64 (/.f64 1 (pow.f64 K 5))))) (.f64 (/.f64 1/27 K) (/.f64 (.f64 27 (pow.f64 (.f64 n (pow.f64 K 3)) 3)) K)))) (.f64 m (.f64 m (.f64 K K)))) (fma.f64 1/3 (/.f64 (fma.f64 3 (.f64 n (.f64 n (pow.f64 K 3))) (.f64 (.f64 (cbrt.f64 (/.f64 1 K)) (pow.f64 (.f64 3 (.f64 n (pow.f64 K 3))) 2)) -1/3)) (.f64 m (.f64 K K))) (.f64 K m))))
(.f64 -1 (.f64 K (*.f64 (cbrt.f64 -1) m)))
(neg.f64 (.f64 K (.f64 m (cbrt.f64 -1))))
(.f64 K (neg.f64 (.f64 m (cbrt.f64 -1))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 K 2) (pow.f64 (cbrt.f64 -1) 2))) 1/3) (+.f64 (.f64 2 (.f64 n (pow.f64 K 3))) (.f64 n (pow.f64 K 3))))) (.f64 -1 (.f64 K (*.f64 (cbrt.f64 -1) m))))
(fma.f64 1/3 (.f64 (.f64 3 (.f64 n (pow.f64 K 3))) (cbrt.f64 (/.f64 (/.f64 1 (.f64 K K)) (pow.f64 (cbrt.f64 -1) 2)))) (neg.f64 (.f64 K (.f64 m (cbrt.f64 -1)))))
(-.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 K K)) (pow.f64 (cbrt.f64 -1) 2))) (.f64 (.f64 3 (.f64 n (pow.f64 K 3))) 1/3)) (.f64 (cbrt.f64 -1) (*.f64 K m)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 K 2) (pow.f64 (cbrt.f64 -1) 2))) 1/3) (+.f64 (.f64 2 (.f64 n (pow.f64 K 3))) (.f64 n (pow.f64 K 3))))) (+.f64 (.f64 -1/3 (/.f64 (-.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 n 2) (pow.f64 K 3))) (.f64 -2 (.f64 (pow.f64 n 2) (pow.f64 K 3)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 K (cbrt.f64 -1))) 1/3) (pow.f64 (+.f64 (.f64 2 (.f64 n (pow.f64 K 3))) (.f64 n (pow.f64 K 3))) 2)))) (.f64 (pow.f64 K 2) (.f64 (pow.f64 (cbrt.f64 -1) 2) m)))) (.f64 -1 (.f64 K (.f64 (cbrt.f64 -1) m)))))
(fma.f64 1/3 (.f64 (.f64 3 (.f64 n (pow.f64 K 3))) (cbrt.f64 (/.f64 (/.f64 1 (.f64 K K)) (pow.f64 (cbrt.f64 -1) 2)))) (fma.f64 -1/3 (/.f64 (+.f64 (.f64 (.f64 (.f64 n n) (pow.f64 K 3)) -3) (.f64 -1/3 (.f64 (pow.f64 (.f64 3 (.f64 n (pow.f64 K 3))) 2) (cbrt.f64 (/.f64 (/.f64 1 K) (cbrt.f64 -1)))))) (.f64 (.f64 K K) (.f64 m (pow.f64 (cbrt.f64 -1) 2)))) (neg.f64 (.f64 K (.f64 m (cbrt.f64 -1))))))
(-.f64 (fma.f64 1/3 (.f64 (.f64 3 (.f64 n (pow.f64 K 3))) (cbrt.f64 (/.f64 (/.f64 1 (.f64 K K)) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 (/.f64 -1/3 (.f64 K (.f64 K (pow.f64 (cbrt.f64 -1) 2)))) (/.f64 (fma.f64 (.f64 n (.f64 n (pow.f64 K 3))) -3 (.f64 -1/3 (.f64 (pow.f64 (.f64 3 (.f64 n (pow.f64 K 3))) 2) (cbrt.f64 (/.f64 (/.f64 1 K) (cbrt.f64 -1)))))) m))) (.f64 (cbrt.f64 -1) (*.f64 K m)))
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(+.f64 (.f64 n (+.f64 (.f64 (pow.f64 K 3) (pow.f64 m 2)) (.f64 2 (.f64 (pow.f64 K 3) (pow.f64 m 2))))) (+.f64 (.f64 (pow.f64 n 2) (+.f64 (.f64 2 (.f64 (pow.f64 K 3) m)) (.f64 (pow.f64 K 3) m))) (*.f64 (pow.f64 n 3) (pow.f64 K 3))))
(fma.f64 (pow.f64 n 3) (pow.f64 K 3) (fma.f64 (.f64 3 (.f64 (.f64 n n) (pow.f64 K 3))) m (.f64 (.f64 3 (.f64 n (pow.f64 K 3))) (*.f64 m m))))
(fma.f64 n (.f64 3 (.f64 m (.f64 m (pow.f64 K 3)))) (fma.f64 m (.f64 3 (.f64 n (.f64 n (pow.f64 K 3)))) (*.f64 (pow.f64 K 3) (pow.f64 n 3))))
(+.f64 (.f64 n (+.f64 (.f64 (pow.f64 K 3) (pow.f64 m 2)) (.f64 2 (.f64 (pow.f64 K 3) (pow.f64 m 2))))) (+.f64 (.f64 (pow.f64 K 3) (pow.f64 m 3)) (+.f64 (.f64 (pow.f64 n 2) (+.f64 (.f64 2 (.f64 (pow.f64 K 3) m)) (.f64 (pow.f64 K 3) m))) (.f64 (pow.f64 n 3) (pow.f64 K 3)))))
(fma.f64 (pow.f64 K 3) (pow.f64 m 3) (fma.f64 (pow.f64 n 3) (pow.f64 K 3) (fma.f64 (.f64 3 (.f64 (.f64 n n) (pow.f64 K 3))) m (.f64 (.f64 3 (.f64 n (pow.f64 K 3))) (*.f64 m m)))))
(+.f64 (fma.f64 n (.f64 3 (.f64 m (.f64 m (pow.f64 K 3)))) (.f64 m (.f64 3 (.f64 n (.f64 n (pow.f64 K 3)))))) (.f64 (pow.f64 K 3) (+.f64 (pow.f64 m 3) (pow.f64 n 3))))
(*.f64 (pow.f64 n 3) (pow.f64 K 3))
(*.f64 (pow.f64 K 3) (pow.f64 n 3))
(+.f64 (.f64 (pow.f64 n 2) (+.f64 (.f64 2 (.f64 (pow.f64 K 3) m)) (.f64 (pow.f64 K 3) m))) (*.f64 (pow.f64 n 3) (pow.f64 K 3)))
(fma.f64 (pow.f64 n 3) (pow.f64 K 3) (.f64 m (.f64 3 (.f64 (.f64 n n) (pow.f64 K 3)))))
(fma.f64 m (.f64 3 (.f64 n (.f64 n (pow.f64 K 3)))) (.f64 (pow.f64 K 3) (pow.f64 n 3)))
(+.f64 (.f64 -1 (.f64 n (+.f64 (.f64 -2 (.f64 (pow.f64 K 3) (pow.f64 m 2))) (.f64 -1 (.f64 (pow.f64 K 3) (pow.f64 m 2)))))) (+.f64 (.f64 (pow.f64 n 2) (+.f64 (.f64 2 (.f64 (pow.f64 K 3) m)) (.f64 (pow.f64 K 3) m))) (*.f64 (pow.f64 n 3) (pow.f64 K 3))))
(fma.f64 -1 (.f64 n (.f64 (.f64 (pow.f64 K 3) (.f64 m m)) -3)) (fma.f64 (.f64 n n) (.f64 3 (.f64 m (pow.f64 K 3))) (.f64 (pow.f64 K 3) (pow.f64 n 3))))
(-.f64 (fma.f64 m (.f64 3 (.f64 n (.f64 n (pow.f64 K 3)))) (.f64 (pow.f64 K 3) (pow.f64 n 3))) (.f64 (.f64 m (.f64 m (pow.f64 K 3))) (.f64 -3 n)))
(+.f64 (.f64 -1 (.f64 n (+.f64 (.f64 -2 (.f64 (pow.f64 K 3) (pow.f64 m 2))) (.f64 -1 (.f64 (pow.f64 K 3) (pow.f64 m 2)))))) (+.f64 (.f64 (pow.f64 K 3) (pow.f64 m 3)) (+.f64 (.f64 (pow.f64 n 2) (+.f64 (.f64 2 (.f64 (pow.f64 K 3) m)) (.f64 (pow.f64 K 3) m))) (.f64 (pow.f64 n 3) (pow.f64 K 3)))))
(fma.f64 -1 (.f64 n (.f64 (.f64 (pow.f64 K 3) (.f64 m m)) -3)) (fma.f64 (pow.f64 K 3) (pow.f64 m 3) (fma.f64 (.f64 n n) (.f64 3 (.f64 m (pow.f64 K 3))) (.f64 (pow.f64 K 3) (pow.f64 n 3)))))
(-.f64 (+.f64 (.f64 m (.f64 3 (.f64 n (.f64 n (pow.f64 K 3))))) (.f64 (pow.f64 K 3) (+.f64 (pow.f64 m 3) (pow.f64 n 3)))) (.f64 (.f64 m (.f64 m (pow.f64 K 3))) (*.f64 -3 n)))

eval1.3s (9%)

Compiler: Compiled 60411 to 27244 computations (54.9% saved)

prune467.0ms (3.2%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	1491	24	1515
Fresh	10	0	10
Picked	1	0	1
Done	4	0	4
Total	1506	24	1530

Error

1.5b

Counts

1530 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	20.6b	(.f64 (fma.f64 -1/8 (pow.f64 (.f64 K m) 2) 1) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	34.2b	(.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (+.f64 m n) (.f64 K 1/2) (neg.f64 M)))) 3) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	10.6b	(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 K (*.f64 m 1/2)))) 3) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	10.6b	(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))) 2) (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	34.3b	(.f64 (cos.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 (cbrt.f64 m) 2) (.f64 (cbrt.f64 m) K) (.f64 K n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	44.5b	(.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 K (+.f64 m n)) 3) 1/3) 3) 1/3) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	49.0b	(.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (pow.f64 (.f64 K (+.f64 m n)) 3) 1/3) 2) M)) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	34.2b	(.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 K (+.f64 m n))) 3) 2) M)) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	31.9b	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 K m) (.f64 K m)) (.f64 (.f64 K n) (.f64 K n))) (fma.f64 (.f64 m (pow.f64 (cbrt.f64 K) 2)) (cbrt.f64 K) (*.f64 K (neg.f64 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))))))
▶	50.9b	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 K m) (.f64 K m)) (.f64 (.f64 K n) (.f64 K n))) (pow.f64 (pow.f64 (.f64 K (-.f64 m n)) 3) 1/3)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	42.4b	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 K m) (.f64 K m)) (.f64 (.f64 K n) (.f64 K n))) (-.f64 (.f64 K m) (.f64 K n))) 2) M)) (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	40.4b	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (.f64 (-.f64 (.f64 m m) (.f64 n n)) K) (-.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	39.7b	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (expm1.f64 (log1p.f64 (-.f64 (pow.f64 (.f64 K m) 2) (pow.f64 (.f64 K n) 2)))) (-.f64 (.f64 K m) (*.f64 K 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))))))
	34.2b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (*.f64 -1 (pow.f64 M 2))))
	47.6b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l)))
	48.1b	(.f64 (cos.f64 (-.f64 (/.f64 (exp.f64 (log.f64 (.f64 K (+.f64 m n)))) 2) M)) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	31.9b	(.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	47.1b	(.f64 (cos.f64 (.f64 K (*.f64 m 1/2))) (exp.f64 (neg.f64 l)))
	45.6b	(.f64 (cos.f64 (expm1.f64 (log1p.f64 (fma.f64 (+.f64 m n) (.f64 K 1/2) (neg.f64 M))))) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	28.6b	(.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	30.3b	(.f64 (cos.f64 M) (exp.f64 (.f64 n (*.f64 n -1/4))))
	29.3b	(.f64 (cos.f64 M) (exp.f64 (.f64 m (*.f64 m -1/4))))
	27.3b	(.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M))))
▶	45.5b	(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))

Compiler

Compiled 1466 to 1010 computations (31.1% saved)

localize68.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))) 2) (cbrt.f64 (cos.f64 (.f64 K (*.f64 m 1/2)))))
✓	0.2b	(pow.f64 (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))) 2)
✓	0.4b	(cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
	30.4b	(cos.f64 (.f64 K (.f64 m 1/2)))

Compiler

Compiled 177 to 98 computations (44.6% saved)

series19.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	m	@	inf	(cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
2.0ms	K	@	inf	(pow.f64 (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))) 2)
2.0ms	K	@	inf	(cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
2.0ms	m	@	-inf	(cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
1.0ms	K	@	-inf	(cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2))))

rewrite69.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

861×	`pow1_binary64`
799×	`add-log-exp_binary64`
798×	`log1p-expm1-u_binary64`
798×	`expm1-log1p-u_binary64`
780×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	226	34
2	2274	34

Stop Event

1×	node limit

Counts

3 → 48

Calls

Call 1

Inputs

(cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2))))

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2))))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 (*.f64 K (*.f64 m 1/2))) 1/6) (pow.f64 (cos.f64 (*.f64 K (*.f64 m 1/2))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))) 1/3) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 K (*.f64 m 1/2))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 K (*.f64 m 1/2))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2))))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))) (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2))))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2))))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2))))) (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 (*.f64 K (*.f64 m 1/2))) 1/6) (sqrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))) (pow.f64 (cos.f64 (*.f64 K (*.f64 m 1/2))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2))))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (*.f64 K (*.f64 m 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))))))))))

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

simplify144.0ms (1%)

Algorithm

1×	egg-herbie

Rules

791×	`associate-l_binary64`
777×	`associate-r_binary64`
752×	`fma-def_binary64`
511×	`cancel-sign-sub-inv_binary64`
305×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	108	1209
1	317	1161
2	1132	1072
3	6619	1046

Stop Event

1×	node limit

Counts

120 → 78

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 -1/24 (.f64 (pow.f64 K 2) (pow.f64 m 2))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 K 4) (-.f64 (.f64 1/384 (pow.f64 m 4)) (.f64 1/192 (pow.f64 m 4))))) (+.f64 1 (.f64 -1/24 (.f64 (pow.f64 K 2) (pow.f64 m 2)))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 K 4) (-.f64 (.f64 1/384 (pow.f64 m 4)) (.f64 1/192 (pow.f64 m 4))))) (+.f64 1 (+.f64 (.f64 -1/24 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (.f64 1/3 (.f64 (pow.f64 K 6) (-.f64 (.f64 -1/46080 (pow.f64 m 6)) (+.f64 (.f64 -1/13824 (pow.f64 m 6)) (.f64 -1/12 (.f64 (-.f64 (.f64 1/384 (pow.f64 m 4)) (.f64 1/192 (pow.f64 m 4))) (pow.f64 m 2))))))))))
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
1
(+.f64 1 (.f64 -1/24 (.f64 (pow.f64 K 2) (pow.f64 m 2))))
(+.f64 1 (+.f64 (.f64 -1/24 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (.f64 1/3 (.f64 (-.f64 (.f64 1/384 (pow.f64 K 4)) (.f64 1/192 (pow.f64 K 4))) (pow.f64 m 4)))))
(+.f64 1 (+.f64 (.f64 -1/24 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 1/384 (pow.f64 K 4)) (.f64 1/192 (pow.f64 K 4))) (pow.f64 m 4))) (.f64 1/3 (.f64 (-.f64 (.f64 -1/46080 (pow.f64 K 6)) (+.f64 (.f64 -1/13824 (pow.f64 K 6)) (.f64 -1/12 (.f64 (pow.f64 K 2) (-.f64 (.f64 1/384 (pow.f64 K 4)) (.f64 1/192 (pow.f64 K 4))))))) (pow.f64 m 6))))))
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
1
(+.f64 (.f64 -1/12 (.f64 (pow.f64 K 2) (pow.f64 m 2))) 1)
(+.f64 (.f64 -1/12 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (.f64 (+.f64 (.f64 1/576 (pow.f64 m 4)) (.f64 2/3 (-.f64 (.f64 1/384 (pow.f64 m 4)) (*.f64 1/192 (pow.f64 m 4))))) (pow.f64 K 4))))
(+.f64 (.f64 -1/12 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (+.f64 (.f64 (+.f64 (.f64 1/576 (pow.f64 m 4)) (.f64 2/3 (-.f64 (.f64 1/384 (pow.f64 m 4)) (.f64 1/192 (pow.f64 m 4))))) (pow.f64 K 4)) (.f64 (pow.f64 K 6) (+.f64 (.f64 2/3 (-.f64 (.f64 -1/46080 (pow.f64 m 6)) (+.f64 (.f64 -1/13824 (pow.f64 m 6)) (.f64 -1/12 (.f64 (-.f64 (.f64 1/384 (pow.f64 m 4)) (.f64 1/192 (pow.f64 m 4))) (pow.f64 m 2)))))) (.f64 -1/36 (.f64 (-.f64 (.f64 1/384 (pow.f64 m 4)) (*.f64 1/192 (pow.f64 m 4))) (pow.f64 m 2))))))))
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
1
(+.f64 (.f64 -1/12 (.f64 (pow.f64 K 2) (pow.f64 m 2))) 1)
(+.f64 (.f64 -1/12 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (.f64 (+.f64 (.f64 1/576 (pow.f64 K 4)) (.f64 2/3 (-.f64 (.f64 1/384 (pow.f64 K 4)) (*.f64 1/192 (pow.f64 K 4))))) (pow.f64 m 4))))
(+.f64 (.f64 -1/12 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (+.f64 (.f64 (pow.f64 m 6) (+.f64 (.f64 2/3 (-.f64 (.f64 -1/46080 (pow.f64 K 6)) (+.f64 (.f64 -1/13824 (pow.f64 K 6)) (.f64 -1/12 (.f64 (pow.f64 K 2) (-.f64 (.f64 1/384 (pow.f64 K 4)) (.f64 1/192 (pow.f64 K 4)))))))) (.f64 -1/36 (.f64 (pow.f64 K 2) (-.f64 (.f64 1/384 (pow.f64 K 4)) (.f64 1/192 (pow.f64 K 4))))))) (.f64 (+.f64 (.f64 1/576 (pow.f64 K 4)) (.f64 2/3 (-.f64 (.f64 1/384 (pow.f64 K 4)) (*.f64 1/192 (pow.f64 K 4))))) (pow.f64 m 4)))))
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
1
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) 1)
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4))) (.f64 -1/46080 (.f64 (pow.f64 K 6) (pow.f64 m 6))))))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
1
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) 1)
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4))) (.f64 -1/46080 (.f64 (pow.f64 K 6) (pow.f64 m 6))))))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 1/2 (.f64 K m)))

Outputs
1
(+.f64 1 (.f64 -1/24 (.f64 (pow.f64 K 2) (pow.f64 m 2))))
(+.f64 1 (.f64 -1/24 (.f64 (.f64 K K) (.f64 m m))))
(fma.f64 -1/24 (.f64 K (.f64 K (*.f64 m m))) 1)
(fma.f64 -1/24 (.f64 K (.f64 m (*.f64 K m))) 1)
(+.f64 (.f64 1/3 (.f64 (pow.f64 K 4) (-.f64 (.f64 1/384 (pow.f64 m 4)) (.f64 1/192 (pow.f64 m 4))))) (+.f64 1 (.f64 -1/24 (.f64 (pow.f64 K 2) (pow.f64 m 2)))))
(fma.f64 1/3 (.f64 (pow.f64 K 4) (.f64 (pow.f64 m 4) -1/384)) (+.f64 1 (.f64 -1/24 (.f64 (.f64 K K) (.f64 m m)))))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 K 4) (pow.f64 m 4)) -1/384) (fma.f64 -1/24 (.f64 K (.f64 K (*.f64 m m))) 1))
(fma.f64 -1/24 (.f64 K (.f64 m (.f64 K m))) (fma.f64 (pow.f64 K 4) (.f64 (pow.f64 m 4) -1/1152) 1))
(+.f64 (.f64 1/3 (.f64 (pow.f64 K 4) (-.f64 (.f64 1/384 (pow.f64 m 4)) (.f64 1/192 (pow.f64 m 4))))) (+.f64 1 (+.f64 (.f64 -1/24 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (.f64 1/3 (.f64 (pow.f64 K 6) (-.f64 (.f64 -1/46080 (pow.f64 m 6)) (+.f64 (.f64 -1/13824 (pow.f64 m 6)) (.f64 -1/12 (.f64 (-.f64 (.f64 1/384 (pow.f64 m 4)) (.f64 1/192 (pow.f64 m 4))) (pow.f64 m 2))))))))))
(fma.f64 1/3 (.f64 (pow.f64 K 4) (.f64 (pow.f64 m 4) -1/384)) (+.f64 1 (fma.f64 -1/24 (.f64 (.f64 K K) (.f64 m m)) (.f64 (.f64 1/3 (pow.f64 K 6)) (-.f64 (.f64 -1/46080 (pow.f64 m 6)) (fma.f64 -1/13824 (pow.f64 m 6) (.f64 (.f64 -1/12 (.f64 (pow.f64 m 4) -1/384)) (.f64 m m))))))))
(+.f64 (fma.f64 -1/24 (.f64 K (.f64 K (.f64 m m))) (.f64 (pow.f64 K 6) (.f64 (+.f64 (.f64 (pow.f64 m 6) 7/138240) (.f64 1/12 (.f64 (pow.f64 m 4) (.f64 -1/384 (.f64 m m))))) 1/3))) (fma.f64 1/3 (.f64 (.f64 (pow.f64 K 4) (pow.f64 m 4)) -1/384) 1))
(fma.f64 (pow.f64 K 4) (.f64 (pow.f64 m 4) -1/1152) (fma.f64 -1/24 (.f64 K (.f64 m (.f64 K m))) (fma.f64 (-.f64 (.f64 (pow.f64 m 6) 7/138240) (.f64 (pow.f64 m 6) 1/4608)) (*.f64 1/3 (pow.f64 K 6)) 1)))
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/2 (.f64 K m))))
(cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
(cbrt.f64 (cos.f64 (.f64 m (.f64 K 1/2))))
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/2 (.f64 K m))))
(cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
(cbrt.f64 (cos.f64 (.f64 m (.f64 K 1/2))))
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/2 (.f64 K m))))
(cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
(cbrt.f64 (cos.f64 (.f64 m (.f64 K 1/2))))
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/2 (.f64 K m))))
(cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
(cbrt.f64 (cos.f64 (.f64 m (.f64 K 1/2))))
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/2 (.f64 K m))))
(cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
(cbrt.f64 (cos.f64 (.f64 m (.f64 K 1/2))))
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/2 (.f64 K m))))
(cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
(cbrt.f64 (cos.f64 (.f64 m (.f64 K 1/2))))
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/2 (.f64 K m))))
(cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
(cbrt.f64 (cos.f64 (.f64 m (.f64 K 1/2))))
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/2 (.f64 K m))))
(cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
(cbrt.f64 (cos.f64 (.f64 m (.f64 K 1/2))))
1
(+.f64 1 (.f64 -1/24 (.f64 (pow.f64 K 2) (pow.f64 m 2))))
(+.f64 1 (.f64 -1/24 (.f64 (.f64 K K) (.f64 m m))))
(fma.f64 -1/24 (.f64 K (.f64 K (*.f64 m m))) 1)
(fma.f64 -1/24 (.f64 K (.f64 m (*.f64 K m))) 1)
(+.f64 1 (+.f64 (.f64 -1/24 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (.f64 1/3 (.f64 (-.f64 (.f64 1/384 (pow.f64 K 4)) (.f64 1/192 (pow.f64 K 4))) (pow.f64 m 4)))))
(fma.f64 1/3 (.f64 (pow.f64 K 4) (.f64 (pow.f64 m 4) -1/384)) (+.f64 1 (.f64 -1/24 (.f64 (.f64 K K) (.f64 m m)))))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 K 4) (pow.f64 m 4)) -1/384) (fma.f64 -1/24 (.f64 K (.f64 K (*.f64 m m))) 1))
(fma.f64 -1/24 (.f64 K (.f64 m (.f64 K m))) (fma.f64 (pow.f64 K 4) (.f64 (pow.f64 m 4) -1/1152) 1))
(+.f64 1 (+.f64 (.f64 -1/24 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 1/384 (pow.f64 K 4)) (.f64 1/192 (pow.f64 K 4))) (pow.f64 m 4))) (.f64 1/3 (.f64 (-.f64 (.f64 -1/46080 (pow.f64 K 6)) (+.f64 (.f64 -1/13824 (pow.f64 K 6)) (.f64 -1/12 (.f64 (pow.f64 K 2) (-.f64 (.f64 1/384 (pow.f64 K 4)) (.f64 1/192 (pow.f64 K 4))))))) (pow.f64 m 6))))))
(+.f64 1 (fma.f64 -1/24 (.f64 (.f64 K K) (.f64 m m)) (.f64 1/3 (+.f64 (.f64 (pow.f64 m 4) (.f64 (pow.f64 K 4) -1/384)) (.f64 (pow.f64 m 6) (-.f64 (.f64 (pow.f64 K 6) -1/46080) (fma.f64 -1/13824 (pow.f64 K 6) (.f64 -1/12 (.f64 (.f64 K K) (.f64 (pow.f64 K 4) -1/384))))))))))
(+.f64 1 (fma.f64 1/3 (fma.f64 (pow.f64 m 4) (.f64 (pow.f64 K 4) -1/384) (.f64 (pow.f64 m 6) (-.f64 (.f64 (pow.f64 K 6) 7/138240) (.f64 -1/12 (.f64 (.f64 (.f64 K K) (pow.f64 K 4)) -1/384))))) (.f64 (.f64 K K) (.f64 (*.f64 m m) -1/24))))
(fma.f64 -1/24 (.f64 K (.f64 m (.f64 K m))) (fma.f64 1/3 (fma.f64 (pow.f64 K 4) (.f64 (pow.f64 m 4) -1/384) (.f64 (pow.f64 m 6) (fma.f64 (pow.f64 K 6) 7/138240 (neg.f64 (.f64 (pow.f64 K 6) 1/4608))))) 1))
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/2 (.f64 K m))))
(cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
(cbrt.f64 (cos.f64 (.f64 m (.f64 K 1/2))))
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/2 (.f64 K m))))
(cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
(cbrt.f64 (cos.f64 (.f64 m (.f64 K 1/2))))
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/2 (.f64 K m))))
(cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
(cbrt.f64 (cos.f64 (.f64 m (.f64 K 1/2))))
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/2 (.f64 K m))))
(cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
(cbrt.f64 (cos.f64 (.f64 m (.f64 K 1/2))))
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/2 (.f64 K m))))
(cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
(cbrt.f64 (cos.f64 (.f64 m (.f64 K 1/2))))
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/2 (.f64 K m))))
(cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
(cbrt.f64 (cos.f64 (.f64 m (.f64 K 1/2))))
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/2 (.f64 K m))))
(cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
(cbrt.f64 (cos.f64 (.f64 m (.f64 K 1/2))))
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/2 (.f64 K m))))
(cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
(cbrt.f64 (cos.f64 (.f64 m (.f64 K 1/2))))
1
(+.f64 (.f64 -1/12 (.f64 (pow.f64 K 2) (pow.f64 m 2))) 1)
(fma.f64 -1/12 (.f64 (.f64 K K) (*.f64 m m)) 1)
(fma.f64 (.f64 K (.f64 K (*.f64 m m))) -1/12 1)
(fma.f64 (.f64 K (.f64 m (*.f64 K m))) -1/12 1)
(+.f64 (.f64 -1/12 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (.f64 (+.f64 (.f64 1/576 (pow.f64 m 4)) (.f64 2/3 (-.f64 (.f64 1/384 (pow.f64 m 4)) (*.f64 1/192 (pow.f64 m 4))))) (pow.f64 K 4))))
(fma.f64 -1/12 (.f64 (.f64 K K) (*.f64 m m)) 1)
(fma.f64 (.f64 K (.f64 K (*.f64 m m))) -1/12 1)
(fma.f64 (.f64 K (.f64 m (*.f64 K m))) -1/12 1)
(+.f64 (.f64 -1/12 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (+.f64 (.f64 (+.f64 (.f64 1/576 (pow.f64 m 4)) (.f64 2/3 (-.f64 (.f64 1/384 (pow.f64 m 4)) (.f64 1/192 (pow.f64 m 4))))) (pow.f64 K 4)) (.f64 (pow.f64 K 6) (+.f64 (.f64 2/3 (-.f64 (.f64 -1/46080 (pow.f64 m 6)) (+.f64 (.f64 -1/13824 (pow.f64 m 6)) (.f64 -1/12 (.f64 (-.f64 (.f64 1/384 (pow.f64 m 4)) (.f64 1/192 (pow.f64 m 4))) (pow.f64 m 2)))))) (.f64 -1/36 (.f64 (-.f64 (.f64 1/384 (pow.f64 m 4)) (*.f64 1/192 (pow.f64 m 4))) (pow.f64 m 2))))))))
(+.f64 (fma.f64 -1/12 (.f64 (.f64 K K) (.f64 m m)) 1) (fma.f64 (fma.f64 1/576 (pow.f64 m 4) (.f64 (.f64 (pow.f64 m 4) -1/384) 2/3)) (pow.f64 K 4) (.f64 (pow.f64 K 6) (fma.f64 2/3 (-.f64 (.f64 -1/46080 (pow.f64 m 6)) (fma.f64 -1/13824 (pow.f64 m 6) (.f64 (.f64 -1/12 (.f64 (pow.f64 m 4) -1/384)) (.f64 m m)))) (.f64 (.f64 -1/36 (.f64 (pow.f64 m 4) -1/384)) (*.f64 m m))))))
(+.f64 (fma.f64 (.f64 K (.f64 K (.f64 m m))) -1/12 1) (fma.f64 (pow.f64 K 6) (fma.f64 (+.f64 (.f64 (pow.f64 m 6) 7/138240) (.f64 1/12 (.f64 (pow.f64 m 4) (.f64 -1/384 (.f64 m m))))) 2/3 (.f64 (.f64 (pow.f64 m 4) -1/384) (.f64 (.f64 m m) -1/36))) (.f64 (pow.f64 K 4) (fma.f64 (pow.f64 m 4) 1/576 (.f64 (pow.f64 m 4) -1/576)))))
(fma.f64 (.f64 K K) (.f64 m (.f64 m -1/12)) (fma.f64 (pow.f64 K 4) (.f64 (pow.f64 m 4) 0) (fma.f64 (pow.f64 K 6) (fma.f64 (-.f64 (.f64 (pow.f64 m 6) 7/138240) (.f64 (pow.f64 m 6) 1/4608)) 2/3 (*.f64 (pow.f64 m 6) 1/13824)) 1)))
(fma.f64 (.f64 K K) (.f64 m (.f64 m -1/12)) (fma.f64 (pow.f64 K 6) (fma.f64 (-.f64 (.f64 (pow.f64 m 6) 7/138240) (.f64 (pow.f64 m 6) 1/4608)) 2/3 (.f64 (pow.f64 m 6) 1/13824)) 1))
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2))
(cbrt.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 2))
(cbrt.f64 (pow.f64 (cos.f64 (.f64 m (.f64 K 1/2))) 2))
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2))
(cbrt.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 2))
(cbrt.f64 (pow.f64 (cos.f64 (.f64 m (.f64 K 1/2))) 2))
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2))
(cbrt.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 2))
(cbrt.f64 (pow.f64 (cos.f64 (.f64 m (.f64 K 1/2))) 2))
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2))
(cbrt.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 2))
(cbrt.f64 (pow.f64 (cos.f64 (.f64 m (.f64 K 1/2))) 2))
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2))
(cbrt.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 2))
(cbrt.f64 (pow.f64 (cos.f64 (.f64 m (.f64 K 1/2))) 2))
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2))
(cbrt.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 2))
(cbrt.f64 (pow.f64 (cos.f64 (.f64 m (.f64 K 1/2))) 2))
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2))
(cbrt.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 2))
(cbrt.f64 (pow.f64 (cos.f64 (.f64 m (.f64 K 1/2))) 2))
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2))
(cbrt.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 2))
(cbrt.f64 (pow.f64 (cos.f64 (.f64 m (.f64 K 1/2))) 2))
1
(+.f64 (.f64 -1/12 (.f64 (pow.f64 K 2) (pow.f64 m 2))) 1)
(fma.f64 -1/12 (.f64 (.f64 K K) (*.f64 m m)) 1)
(fma.f64 (.f64 K (.f64 K (*.f64 m m))) -1/12 1)
(fma.f64 (.f64 K (.f64 m (*.f64 K m))) -1/12 1)
(+.f64 (.f64 -1/12 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (.f64 (+.f64 (.f64 1/576 (pow.f64 K 4)) (.f64 2/3 (-.f64 (.f64 1/384 (pow.f64 K 4)) (*.f64 1/192 (pow.f64 K 4))))) (pow.f64 m 4))))
(fma.f64 -1/12 (.f64 (.f64 K K) (*.f64 m m)) 1)
(fma.f64 (.f64 K (.f64 K (*.f64 m m))) -1/12 1)
(fma.f64 (.f64 K (.f64 m (*.f64 K m))) -1/12 1)
(+.f64 (.f64 -1/12 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (+.f64 (.f64 (pow.f64 m 6) (+.f64 (.f64 2/3 (-.f64 (.f64 -1/46080 (pow.f64 K 6)) (+.f64 (.f64 -1/13824 (pow.f64 K 6)) (.f64 -1/12 (.f64 (pow.f64 K 2) (-.f64 (.f64 1/384 (pow.f64 K 4)) (.f64 1/192 (pow.f64 K 4)))))))) (.f64 -1/36 (.f64 (pow.f64 K 2) (-.f64 (.f64 1/384 (pow.f64 K 4)) (.f64 1/192 (pow.f64 K 4))))))) (.f64 (+.f64 (.f64 1/576 (pow.f64 K 4)) (.f64 2/3 (-.f64 (.f64 1/384 (pow.f64 K 4)) (*.f64 1/192 (pow.f64 K 4))))) (pow.f64 m 4)))))
(+.f64 (fma.f64 -1/12 (.f64 (.f64 K K) (.f64 m m)) 1) (fma.f64 (pow.f64 m 6) (fma.f64 2/3 (-.f64 (.f64 (pow.f64 K 6) -1/46080) (fma.f64 -1/13824 (pow.f64 K 6) (.f64 -1/12 (.f64 (.f64 K K) (.f64 (pow.f64 K 4) -1/384))))) (.f64 (.f64 -1/36 (.f64 K K)) (.f64 (pow.f64 K 4) -1/384))) (.f64 (pow.f64 m 4) (fma.f64 1/576 (pow.f64 K 4) (.f64 (*.f64 (pow.f64 K 4) -1/384) 2/3)))))
(+.f64 (fma.f64 (.f64 K (.f64 K (.f64 m m))) -1/12 1) (fma.f64 (pow.f64 m 6) (fma.f64 (.f64 (.f64 (.f64 K K) (pow.f64 K 4)) -1/384) -1/36 (.f64 (-.f64 (.f64 (pow.f64 K 6) 7/138240) (.f64 -1/12 (.f64 (.f64 (.f64 K K) (pow.f64 K 4)) -1/384))) 2/3)) (.f64 (pow.f64 m 4) (fma.f64 (pow.f64 K 4) 1/576 (.f64 (pow.f64 K 4) -1/576)))))
(fma.f64 (.f64 K K) (.f64 m (.f64 m -1/12)) (fma.f64 (pow.f64 m 4) (.f64 (pow.f64 K 4) 0) (fma.f64 (pow.f64 m 6) (fma.f64 (fma.f64 (pow.f64 K 6) 7/138240 (neg.f64 (.f64 (pow.f64 K 6) 1/4608))) 2/3 (.f64 (pow.f64 K 6) 1/13824)) 1)))
(fma.f64 (.f64 K K) (.f64 m (.f64 m -1/12)) (fma.f64 (pow.f64 m 6) (fma.f64 (fma.f64 (pow.f64 K 6) 7/138240 (neg.f64 (.f64 (pow.f64 K 6) 1/4608))) 2/3 (*.f64 (pow.f64 K 6) 1/13824)) 1))
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2))
(cbrt.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 2))
(cbrt.f64 (pow.f64 (cos.f64 (.f64 m (.f64 K 1/2))) 2))
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2))
(cbrt.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 2))
(cbrt.f64 (pow.f64 (cos.f64 (.f64 m (.f64 K 1/2))) 2))
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2))
(cbrt.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 2))
(cbrt.f64 (pow.f64 (cos.f64 (.f64 m (.f64 K 1/2))) 2))
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2))
(cbrt.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 2))
(cbrt.f64 (pow.f64 (cos.f64 (.f64 m (.f64 K 1/2))) 2))
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2))
(cbrt.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 2))
(cbrt.f64 (pow.f64 (cos.f64 (.f64 m (.f64 K 1/2))) 2))
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2))
(cbrt.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 2))
(cbrt.f64 (pow.f64 (cos.f64 (.f64 m (.f64 K 1/2))) 2))
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2))
(cbrt.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 2))
(cbrt.f64 (pow.f64 (cos.f64 (.f64 m (.f64 K 1/2))) 2))
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2))
(cbrt.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 2))
(cbrt.f64 (pow.f64 (cos.f64 (.f64 m (.f64 K 1/2))) 2))
1
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) 1)
(fma.f64 -1/8 (.f64 (.f64 K K) (*.f64 m m)) 1)
(fma.f64 (.f64 K (.f64 K (*.f64 m m))) -1/8 1)
(fma.f64 (.f64 K K) (.f64 m (*.f64 m -1/8)) 1)
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)))))
(+.f64 (fma.f64 -1/8 (.f64 (.f64 K K) (.f64 m m)) 1) (.f64 (*.f64 (pow.f64 K 4) 1/384) (pow.f64 m 4)))
(fma.f64 (.f64 K (.f64 K (.f64 m m))) -1/8 (fma.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)) 1))
(fma.f64 (pow.f64 m 4) (.f64 (pow.f64 K 4) 1/384) (fma.f64 (.f64 K K) (.f64 m (.f64 m -1/8)) 1))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4))) (.f64 -1/46080 (.f64 (pow.f64 K 6) (pow.f64 m 6))))))
(+.f64 (fma.f64 -1/8 (.f64 (.f64 K K) (.f64 m m)) 1) (fma.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)) (.f64 (.f64 (pow.f64 K 6) -1/46080) (pow.f64 m 6))))
(+.f64 (fma.f64 (.f64 K (.f64 K (.f64 m m))) -1/8 1) (fma.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)) (.f64 (pow.f64 m 6) (.f64 (pow.f64 K 6) -1/46080))))
(fma.f64 (.f64 K K) (.f64 m (.f64 m -1/8)) (fma.f64 (pow.f64 K 4) (.f64 1/384 (pow.f64 m 4)) (fma.f64 (pow.f64 K 6) (*.f64 -1/46080 (pow.f64 m 6)) 1)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 m (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 m (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 m (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 m (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 m (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 m (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 m (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 m (.f64 K 1/2)))
1
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) 1)
(fma.f64 -1/8 (.f64 (.f64 K K) (*.f64 m m)) 1)
(fma.f64 (.f64 K (.f64 K (*.f64 m m))) -1/8 1)
(fma.f64 (.f64 K K) (.f64 m (*.f64 m -1/8)) 1)
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)))))
(+.f64 (fma.f64 -1/8 (.f64 (.f64 K K) (.f64 m m)) 1) (.f64 (*.f64 (pow.f64 K 4) 1/384) (pow.f64 m 4)))
(fma.f64 (.f64 K (.f64 K (.f64 m m))) -1/8 (fma.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)) 1))
(fma.f64 (pow.f64 m 4) (.f64 (pow.f64 K 4) 1/384) (fma.f64 (.f64 K K) (.f64 m (.f64 m -1/8)) 1))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4))) (.f64 -1/46080 (.f64 (pow.f64 K 6) (pow.f64 m 6))))))
(+.f64 (fma.f64 -1/8 (.f64 (.f64 K K) (.f64 m m)) 1) (fma.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)) (.f64 (.f64 (pow.f64 K 6) -1/46080) (pow.f64 m 6))))
(+.f64 (fma.f64 (.f64 K (.f64 K (.f64 m m))) -1/8 1) (fma.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 m 4)) (.f64 (pow.f64 m 6) (.f64 (pow.f64 K 6) -1/46080))))
(fma.f64 (.f64 K K) (.f64 m (.f64 m -1/8)) (fma.f64 (pow.f64 K 4) (.f64 1/384 (pow.f64 m 4)) (fma.f64 (pow.f64 K 6) (*.f64 -1/46080 (pow.f64 m 6)) 1)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 m (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 m (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 m (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 m (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 m (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 m (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 m (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(cos.f64 (.f64 m (.f64 K 1/2)))

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 9 computations (55% saved)

series82.0ms (0.6%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
78.0ms	l	@	inf	(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
1.0ms	M	@	0	(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
1.0ms	l	@	-inf	(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
1.0ms	l	@	0	(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
1.0ms	M	@	inf	(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))

rewrite48.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

562×	`pow1_binary64`
514×	`add-log-exp_binary64`
513×	`log1p-expm1-u_binary64`
513×	`expm1-log1p-u_binary64`
502×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	137	8
2	1669	8

Stop Event

1×	node limit

Counts

1 → 12

Calls

Call 1

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

Outputs

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

simplify48.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

957×	`fma-def_binary64`
712×	`unswap-sqr_binary64`
360×	`cancel-sign-sub-inv_binary64`
310×	`distribute-lft-out_binary64`
269×	`fma-neg_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	46	345
1	123	326
2	336	279
3	1165	259
4	3561	252

Stop Event

1×	node limit

Counts

36 → 28

Calls

Call 1

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

Outputs
(exp.f64 (neg.f64 l))
(+.f64 (exp.f64 (neg.f64 l)) (.f64 -1/2 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 2))))
(+.f64 (exp.f64 (neg.f64 l)) (.f64 -1/2 (.f64 (exp.f64 (neg.f64 l)) (*.f64 M M))))
(fma.f64 (/.f64 -1/2 (exp.f64 l)) (*.f64 M M) (exp.f64 (neg.f64 l)))
(.f64 (+.f64 (.f64 (*.f64 -1/2 M) M) 1) (exp.f64 (neg.f64 l)))
(.f64 (exp.f64 (neg.f64 l)) (fma.f64 -1/2 (.f64 M M) 1))
(/.f64 (fma.f64 -1/2 (*.f64 M M) 1) (exp.f64 l))
(+.f64 (exp.f64 (neg.f64 l)) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 2))) (.f64 1/24 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 4)))))
(+.f64 (exp.f64 (neg.f64 l)) (fma.f64 -1/2 (.f64 (exp.f64 (neg.f64 l)) (.f64 M M)) (.f64 1/24 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 4)))))
(+.f64 (fma.f64 (/.f64 -1/2 (exp.f64 l)) (.f64 M M) (exp.f64 (neg.f64 l))) (.f64 (pow.f64 M 4) (/.f64 1/24 (exp.f64 l))))
(fma.f64 -1/2 (/.f64 (.f64 M M) (exp.f64 l)) (.f64 (+.f64 (*.f64 1/24 (pow.f64 M 4)) 1) (exp.f64 (neg.f64 l))))
(.f64 (exp.f64 (neg.f64 l)) (+.f64 (fma.f64 1/24 (pow.f64 M 4) 1) (.f64 -1/2 (*.f64 M M))))
(.f64 (exp.f64 (neg.f64 l)) (+.f64 1 (fma.f64 1/24 (pow.f64 M 4) (.f64 -1/2 (*.f64 M M)))))
(+.f64 (.f64 -1/720 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 6))) (+.f64 (exp.f64 (neg.f64 l)) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 2))) (.f64 1/24 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 4))))))
(fma.f64 -1/720 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 6)) (+.f64 (exp.f64 (neg.f64 l)) (fma.f64 -1/2 (.f64 (exp.f64 (neg.f64 l)) (.f64 M M)) (.f64 1/24 (*.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 4))))))
(fma.f64 (/.f64 -1/720 (exp.f64 l)) (pow.f64 M 6) (+.f64 (fma.f64 (/.f64 -1/2 (exp.f64 l)) (.f64 M M) (exp.f64 (neg.f64 l))) (.f64 (pow.f64 M 4) (/.f64 1/24 (exp.f64 l)))))
(fma.f64 -1/720 (/.f64 (pow.f64 M 6) (exp.f64 l)) (fma.f64 -1/2 (/.f64 (.f64 M M) (exp.f64 l)) (.f64 (+.f64 (*.f64 1/24 (pow.f64 M 4)) 1) (exp.f64 (neg.f64 l)))))
(fma.f64 (exp.f64 (neg.f64 l)) (fma.f64 -1/2 (.f64 M M) (.f64 1/24 (pow.f64 M 4))) (*.f64 (exp.f64 (neg.f64 l)) (fma.f64 -1/720 (pow.f64 M 6) 1)))
(.f64 (exp.f64 (neg.f64 l)) (+.f64 (fma.f64 -1/2 (.f64 M M) 1) (fma.f64 1/24 (pow.f64 M 4) (*.f64 -1/720 (pow.f64 M 6)))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 l))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 l))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 l))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 l))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 l))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 l))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 l))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 l))
(cos.f64 M)
(+.f64 (.f64 -1 (.f64 l (cos.f64 M))) (cos.f64 M))
(fma.f64 -1 (*.f64 l (cos.f64 M)) (cos.f64 M))
(-.f64 (cos.f64 M) (*.f64 l (cos.f64 M)))
(*.f64 (cos.f64 M) (fma.f64 l -1 1))
(*.f64 (cos.f64 M) (-.f64 1 l))
(+.f64 (.f64 1/2 (.f64 (pow.f64 l 2) (cos.f64 M))) (+.f64 (.f64 -1 (.f64 l (cos.f64 M))) (cos.f64 M)))
(fma.f64 1/2 (.f64 (cos.f64 M) (.f64 l l)) (fma.f64 -1 (*.f64 l (cos.f64 M)) (cos.f64 M)))
(+.f64 (cos.f64 M) (.f64 (cos.f64 M) (+.f64 (.f64 1/2 (*.f64 l l)) (neg.f64 l))))
(fma.f64 (cos.f64 M) (-.f64 (.f64 l (.f64 l 1/2)) l) (cos.f64 M))
(.f64 (cos.f64 M) (fma.f64 1/2 (.f64 l l) (-.f64 1 l)))
(.f64 (cos.f64 M) (+.f64 1 (.f64 l (fma.f64 l 1/2 -1))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 l 2) (cos.f64 M))) (+.f64 (.f64 -1 (.f64 l (cos.f64 M))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 l 3) (cos.f64 M))) (cos.f64 M))))
(fma.f64 1/2 (.f64 (cos.f64 M) (.f64 l l)) (fma.f64 -1 (.f64 l (cos.f64 M)) (fma.f64 -1/6 (.f64 (cos.f64 M) (pow.f64 l 3)) (cos.f64 M))))
(+.f64 (fma.f64 -1/6 (.f64 (cos.f64 M) (pow.f64 l 3)) (cos.f64 M)) (.f64 (cos.f64 M) (+.f64 (.f64 1/2 (.f64 l l)) (neg.f64 l))))
(fma.f64 (cos.f64 M) (.f64 l (.f64 l 1/2)) (*.f64 (cos.f64 M) (-.f64 (fma.f64 -1/6 (pow.f64 l 3) 1) l)))
(.f64 (cos.f64 M) (+.f64 (.f64 l (fma.f64 l 1/2 -1)) (fma.f64 -1/6 (pow.f64 l 3) 1)))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 l))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 l))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 l))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 l))
(.f64 (cos.f64 M) (exp.f64 (.f64 -1 l)))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 l))
(.f64 (cos.f64 M) (exp.f64 (.f64 -1 l)))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 l))
(.f64 (cos.f64 M) (exp.f64 (.f64 -1 l)))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 l))
(.f64 (cos.f64 M) (exp.f64 (.f64 -1 l)))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 l))

localize24.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))

Compiler

Compiled 69 to 14 computations (79.7% saved)

localize41.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 K (+.f64 m n))
✓	0.6b	(pow.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) 3)
✓	16.4b	(cbrt.f64 (*.f64 K (+.f64 m n)))
✓	35.0b	(cos.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) 3) 2) M))

Compiler

Compiled 138 to 41 computations (70.3% saved)

series62.0ms (0.4%)

Counts

3 → 64

Calls

30 calls:

Time	Variable		Point	Expression
40.0ms	K	@	0	(pow.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) 3)
2.0ms	m	@	0	(pow.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) 3)
2.0ms	n	@	0	(pow.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) 3)
1.0ms	K	@	-inf	(pow.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) 3)
1.0ms	m	@	0	(cbrt.f64 (*.f64 K (+.f64 m n)))

rewrite90.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

717×	`log-prod_binary64`
447×	`fma-def_binary64`
271×	`expm1-udef_binary64`
271×	`log1p-udef_binary64`
247×	`pow3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	31
1	327	31
2	4291	31

Stop Event

1×	node limit

Counts

3 → 152

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (/.f64 (*.f64 K (+.f64 m n)) -2)) (cos.f64 M)) (*.f64 (sin.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2))) (sin.f64 M)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2))) (sin.f64 M)) (*.f64 (cos.f64 (/.f64 (*.f64 K (+.f64 m n)) -2)) (cos.f64 M)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) (neg.f64 M))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 (/.f64 (*.f64 K (+.f64 m n)) -2)) (cos.f64 M)) 1) (*.f64 (*.f64 (sin.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2))) (sin.f64 M)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) (neg.f64 M))))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) (neg.f64 M))))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (/.f64 (*.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3) 1/8) (fma.f64 M (fma.f64 (+.f64 m n) (*.f64 K 1/2) M) (*.f64 (pow.f64 (*.f64 K (+.f64 m n)) 2) 1/4)))) (cos.f64 (/.f64 (pow.f64 M 3) (fma.f64 M (fma.f64 (+.f64 m n) (*.f64 K 1/2) M) (*.f64 (pow.f64 (*.f64 K (+.f64 m n)) 2) 1/4))))) (*.f64 (sin.f64 (/.f64 (*.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3) 1/8) (fma.f64 M (fma.f64 (+.f64 m n) (*.f64 K 1/2) M) (*.f64 (pow.f64 (*.f64 K (+.f64 m n)) 2) 1/4)))) (sin.f64 (/.f64 (pow.f64 M 3) (fma.f64 M (fma.f64 (+.f64 m n) (*.f64 K 1/2) M) (*.f64 (pow.f64 (*.f64 K (+.f64 m n)) 2) 1/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (/.f64 (*.f64 (pow.f64 (*.f64 K (+.f64 m n)) 2) 1/4) (fma.f64 (+.f64 m n) (*.f64 K 1/2) M))) (cos.f64 (/.f64 (*.f64 M M) (fma.f64 (+.f64 m n) (*.f64 K 1/2) M)))) (*.f64 (sin.f64 (/.f64 (*.f64 (pow.f64 (*.f64 K (+.f64 m n)) 2) 1/4) (fma.f64 (+.f64 m n) (*.f64 K 1/2) M))) (sin.f64 (/.f64 (*.f64 M M) (fma.f64 (+.f64 m n) (*.f64 K 1/2) M)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) (neg.f64 M))))) (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) (neg.f64 M))))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) (neg.f64 M)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) (neg.f64 M)))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) (neg.f64 M)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (/.f64 (*.f64 K (+.f64 m n)) -2)) (cos.f64 M)) (*.f64 (sin.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2))) (neg.f64 (sin.f64 M))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (/.f64 (*.f64 K (+.f64 m n)) -2)) (cos.f64 M)) (*.f64 (neg.f64 (sin.f64 M)) (sin.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) (neg.f64 M))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (/.f64 (*.f64 K (+.f64 m n)) -2)) (cos.f64 (*.f64 (neg.f64 M) 1))) (*.f64 (sin.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2))) (sin.f64 (*.f64 (neg.f64 M) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) (neg.f64 M))) (cos.f64 (fma.f64 (neg.f64 M) 1 M))) (*.f64 (sin.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) (neg.f64 M))) (sin.f64 (fma.f64 (neg.f64 M) 1 M))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) (neg.f64 M))) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) 2) M))) (*.f64 (sin.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) (neg.f64 M))) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) 2) M))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) (neg.f64 M))) (cos.f64 (+.f64 (neg.f64 M) M))) (*.f64 (sin.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) (neg.f64 M))) (sin.f64 (+.f64 (neg.f64 M) M))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) (neg.f64 M))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) (neg.f64 M))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) (neg.f64 M)))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) (neg.f64 M)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) (neg.f64 M)))) 2) (cbrt.f64 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) (neg.f64 M)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) (neg.f64 M)))) (sqrt.f64 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) (neg.f64 M)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (/.f64 (*.f64 K (+.f64 m n)) -2)) (cos.f64 M)) 3) (pow.f64 (*.f64 (sin.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2))) (sin.f64 M)) 3)) (fma.f64 (*.f64 (cos.f64 (/.f64 (*.f64 K (+.f64 m n)) -2)) (cos.f64 M)) (*.f64 (cos.f64 (/.f64 (*.f64 K (+.f64 m n)) -2)) (cos.f64 M)) (-.f64 (*.f64 (*.f64 (sin.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2))) (sin.f64 M)) (*.f64 (sin.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2))) (sin.f64 M))) (*.f64 (*.f64 (cos.f64 (/.f64 (*.f64 K (+.f64 m n)) -2)) (cos.f64 M)) (*.f64 (sin.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2))) (sin.f64 M))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (cos.f64 (/.f64 (*.f64 K (+.f64 m n)) -2)) (cos.f64 M)) (*.f64 (cos.f64 (/.f64 (*.f64 K (+.f64 m n)) -2)) (cos.f64 M))) (*.f64 (*.f64 (sin.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2))) (sin.f64 M)) (*.f64 (sin.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2))) (sin.f64 M)))) (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) M)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 K 1/2) (neg.f64 M))) 1)))) (#(struct:change #<rule 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simplify99.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

555×	`times-frac_binary64`
537×	`distribute-rgt-in_binary64`
535×	`distribute-lft-in_binary64`
353×	`associate-r_binary64`
301×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	291	2635
1	988	2489
2	3487	2375

Stop Event

1×	node limit

Counts

216 → 221

Calls

Call 1

Inputs
(cos.f64 (neg.f64 M))
(+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 K (*.f64 (sin.f64 (neg.f64 M)) (+.f64 n m)))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))) (.f64 -1/2 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (+.f64 n m))))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (sin.f64 (neg.f64 M)) (pow.f64 (+.f64 n m) 3)))) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))) (.f64 -1/2 (.f64 K (*.f64 (sin.f64 (neg.f64 M)) (+.f64 n m)))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (*.f64 K m))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (pow.f64 m 2)))) (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (pow.f64 m 2)))) (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (+.f64 (.f64 1/48 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 (pow.f64 K 3) (pow.f64 m 3)))) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (*.f64 K m))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (pow.f64 K 2)))) (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (pow.f64 K 2)))) (+.f64 (.f64 1/48 (.f64 (pow.f64 n 3) (.f64 (pow.f64 K 3) (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) M))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M) (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M) (+.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))) (pow.f64 M 2)))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M) (+.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (+.f64 (.f64 -1/6 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (pow.f64 M 3))) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))) (pow.f64 M 2))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m)))))
(cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m)))))
(cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m)))))
(cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m)))))
(pow.f64 (*.f64 n K) 1/3)
(+.f64 (pow.f64 (.f64 n K) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 7)) (pow.f64 n 2)) 1/9) m)))
(+.f64 (pow.f64 (.f64 n K) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 7)) (pow.f64 n 2)) 1/9) m)) (.f64 -1/9 (.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 K 11)) (pow.f64 n 7)) 1/9) (pow.f64 m 2)))))
(+.f64 (pow.f64 (.f64 n K) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 7)) (pow.f64 n 2)) 1/9) m)) (+.f64 (.f64 -1/3 (.f64 (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 (pow.f64 K 7) (pow.f64 n 2)) 1/3) (pow.f64 (pow.f64 1 4) 1/9))) (.f64 1/27 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 7)) (pow.f64 n 2)) 1/3))) (pow.f64 m 3)) (pow.f64 (/.f64 1 (.f64 (pow.f64 n 2) (pow.f64 K 2))) 1/3))) (.f64 -1/9 (.f64 (pow.f64 (/.f64 (*.f64 1 (pow.f64 K 11)) (pow.f64 n 7)) 1/9) (pow.f64 m 2))))))
(pow.f64 (*.f64 K m) 1/3)
(+.f64 (.f64 1/3 (.f64 n (pow.f64 (/.f64 (.f64 1 (pow.f64 K 7)) (pow.f64 m 2)) 1/9))) (pow.f64 (.f64 K m) 1/3))
(+.f64 (.f64 1/3 (.f64 n (pow.f64 (/.f64 (.f64 1 (pow.f64 K 7)) (pow.f64 m 2)) 1/9))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 n 2) (pow.f64 (/.f64 (.f64 1 (pow.f64 K 11)) (pow.f64 m 7)) 1/9))) (pow.f64 (*.f64 K m) 1/3)))
(+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 n 3) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 (pow.f64 K 7) (pow.f64 m 2)) 1/3))) (.f64 1/27 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 7)) (pow.f64 m 2)) 1/3)))) (pow.f64 (/.f64 1 (.f64 (pow.f64 K 2) (pow.f64 m 2))) 1/3))) (+.f64 (.f64 1/3 (.f64 n (pow.f64 (/.f64 (.f64 1 (pow.f64 K 7)) (pow.f64 m 2)) 1/9))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 n 2) (pow.f64 (/.f64 (.f64 1 (pow.f64 K 11)) (pow.f64 m 7)) 1/9))) (pow.f64 (*.f64 K m) 1/3))))
(.f64 (.f64 n K) (pow.f64 1 1/3))
(+.f64 (.f64 (+.f64 (.f64 1/3 (pow.f64 (.f64 (pow.f64 n 4) (.f64 1 (pow.f64 K 13))) 1/9)) (.f64 2/3 (pow.f64 (.f64 (pow.f64 n 4) (.f64 1 (pow.f64 K 13))) 1/9))) m) (.f64 (*.f64 n K) (pow.f64 1 1/3)))
(+.f64 (.f64 (+.f64 (.f64 1/3 (pow.f64 (.f64 (pow.f64 n 4) (.f64 1 (pow.f64 K 13))) 1/9)) (.f64 2/3 (pow.f64 (.f64 (pow.f64 n 4) (.f64 1 (pow.f64 K 13))) 1/9))) m) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 n (.f64 1 K)) 1/3) (+.f64 (.f64 1/9 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 14)) (pow.f64 n 4)) 1/9)) (.f64 -2/9 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 14)) (pow.f64 n 4)) 1/9)))) (+.f64 (.f64 2/9 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 17)) n) 1/9)) (.f64 -1/9 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 17)) n) 1/9)))) (pow.f64 m 2)) (.f64 (*.f64 n K) (pow.f64 1 1/3))))
(+.f64 (.f64 (+.f64 (.f64 1/3 (pow.f64 (.f64 (pow.f64 n 4) (.f64 1 (pow.f64 K 13))) 1/9)) (.f64 2/3 (pow.f64 (.f64 (pow.f64 n 4) (.f64 1 (pow.f64 K 13))) 1/9))) m) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 7)) (pow.f64 n 2)) 1/9) (+.f64 (.f64 1/9 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 14)) (pow.f64 n 4)) 1/9)) (.f64 -2/9 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 14)) (pow.f64 n 4)) 1/9))))) (+.f64 (.f64 (+.f64 (.f64 -2/27 (.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 K 2) n))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (.f64 n K)) 1/3) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 (pow.f64 K 7) (pow.f64 n 2)) 1/3) (pow.f64 (pow.f64 1 4) 1/9))) (.f64 1/27 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 7)) (pow.f64 n 2)) 1/3)))))) (pow.f64 (.f64 n (.f64 1 K)) 1/3)) (+.f64 (.f64 -1/3 (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 (pow.f64 K 7) (pow.f64 n 2)) 1/3) (pow.f64 (pow.f64 1 4) 1/9))) (.f64 1/27 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 7)) (pow.f64 n 2)) 1/3))) (pow.f64 1 1/3))) (.f64 -2/27 (.f64 (pow.f64 (/.f64 (pow.f64 K 7) (pow.f64 n 2)) 1/3) (pow.f64 (pow.f64 1 4) 1/9)))))) (pow.f64 m 3)) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 n (.f64 1 K)) 1/3) (+.f64 (.f64 1/9 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 14)) (pow.f64 n 4)) 1/9)) (.f64 -2/9 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 14)) (pow.f64 n 4)) 1/9)))) (+.f64 (.f64 2/9 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 17)) n) 1/9)) (.f64 -1/9 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 17)) n) 1/9)))) (pow.f64 m 2)) (.f64 (*.f64 n K) (pow.f64 1 1/3)))))
(.f64 (pow.f64 1 1/3) (.f64 K m))
(+.f64 (.f64 (+.f64 (.f64 2/3 (pow.f64 (.f64 1 (.f64 (pow.f64 K 13) (pow.f64 m 4))) 1/9)) (.f64 1/3 (pow.f64 (.f64 1 (.f64 (pow.f64 K 13) (pow.f64 m 4))) 1/9))) n) (.f64 (pow.f64 1 1/3) (*.f64 K m)))
(+.f64 (.f64 (pow.f64 n 2) (+.f64 (.f64 -1/9 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 17)) m) 1/9)) (+.f64 (.f64 2/9 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 17)) m) 1/9)) (.f64 (pow.f64 (.f64 1 (.f64 K m)) 1/3) (+.f64 (.f64 1/9 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 14)) (pow.f64 m 4)) 1/9)) (.f64 -2/9 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 14)) (pow.f64 m 4)) 1/9))))))) (+.f64 (.f64 (+.f64 (.f64 2/3 (pow.f64 (.f64 1 (.f64 (pow.f64 K 13) (pow.f64 m 4))) 1/9)) (.f64 1/3 (pow.f64 (.f64 1 (.f64 (pow.f64 K 13) (pow.f64 m 4))) 1/9))) n) (.f64 (pow.f64 1 1/3) (*.f64 K m))))
(+.f64 (.f64 (pow.f64 n 2) (+.f64 (.f64 -1/9 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 17)) m) 1/9)) (+.f64 (.f64 2/9 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 17)) m) 1/9)) (.f64 (pow.f64 (.f64 1 (.f64 K m)) 1/3) (+.f64 (.f64 1/9 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 14)) (pow.f64 m 4)) 1/9)) (.f64 -2/9 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 14)) (pow.f64 m 4)) 1/9))))))) (+.f64 (.f64 (+.f64 (.f64 2/3 (pow.f64 (.f64 1 (.f64 (pow.f64 K 13) (pow.f64 m 4))) 1/9)) (.f64 1/3 (pow.f64 (.f64 1 (.f64 (pow.f64 K 13) (pow.f64 m 4))) 1/9))) n) (+.f64 (.f64 (pow.f64 n 3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 (pow.f64 K 7) (pow.f64 m 2)) 1/3))) (.f64 1/27 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 7)) (pow.f64 m 2)) 1/3))))) (+.f64 (.f64 (pow.f64 (.f64 1 (.f64 K m)) 1/3) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (.f64 K m)) 1/3) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 (pow.f64 K 7) (pow.f64 m 2)) 1/3))) (.f64 1/27 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 7)) (pow.f64 m 2)) 1/3))))) (.f64 -2/27 (.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 K 2) m))))) (+.f64 (.f64 -2/27 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 (pow.f64 K 7) (pow.f64 m 2)) 1/3))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 7)) (pow.f64 m 2)) 1/9) (+.f64 (.f64 1/9 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 14)) (pow.f64 m 4)) 1/9)) (.f64 -2/9 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 14)) (pow.f64 m 4)) 1/9))))))))) (.f64 (pow.f64 1 1/3) (*.f64 K m)))))

Outputs
(cos.f64 (neg.f64 M))
(cos.f64 M)
(+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 K (*.f64 (sin.f64 (neg.f64 M)) (+.f64 n m)))))
(+.f64 (cos.f64 M) (.f64 (.f64 -1/2 K) (*.f64 (neg.f64 (sin.f64 M)) (+.f64 n m))))
(fma.f64 -1/2 (.f64 K (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m))) (cos.f64 M))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))) (.f64 -1/2 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (+.f64 n m))))))
(+.f64 (cos.f64 M) (fma.f64 -1/8 (.f64 (.f64 (cos.f64 M) (.f64 K K)) (pow.f64 (+.f64 n m) 2)) (.f64 (.f64 -1/2 K) (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)))))
(+.f64 (cos.f64 M) (fma.f64 -1/2 (.f64 K (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m))) (.f64 -1/8 (.f64 (cos.f64 M) (.f64 (.f64 K K) (pow.f64 (+.f64 n m) 2))))))
(+.f64 (.f64 (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)) (.f64 -1/2 K)) (.f64 (+.f64 (.f64 -1/8 (.f64 K (*.f64 K (pow.f64 (+.f64 n m) 2)))) 1) (cos.f64 M)))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (sin.f64 (neg.f64 M)) (pow.f64 (+.f64 n m) 3)))) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))) (.f64 -1/2 (.f64 K (*.f64 (sin.f64 (neg.f64 M)) (+.f64 n m)))))))
(+.f64 (cos.f64 M) (fma.f64 1/48 (.f64 (.f64 (pow.f64 K 3) (neg.f64 (sin.f64 M))) (pow.f64 (+.f64 n m) 3)) (fma.f64 -1/8 (.f64 (.f64 (cos.f64 M) (.f64 K K)) (pow.f64 (+.f64 n m) 2)) (.f64 (.f64 -1/2 K) (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m))))))
(+.f64 (fma.f64 1/48 (.f64 (neg.f64 (sin.f64 M)) (.f64 (pow.f64 (+.f64 n m) 3) (pow.f64 K 3))) (.f64 -1/8 (.f64 (cos.f64 M) (.f64 (.f64 K K) (pow.f64 (+.f64 n m) 2))))) (fma.f64 -1/2 (.f64 K (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m))) (cos.f64 M)))
(+.f64 (cos.f64 M) (+.f64 (.f64 (neg.f64 (sin.f64 M)) (+.f64 (.f64 (.f64 1/48 (pow.f64 K 3)) (pow.f64 (+.f64 n m) 3)) (.f64 (.f64 -1/2 K) (+.f64 n m)))) (.f64 -1/8 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 (cos.f64 M) (*.f64 K K))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 (*.f64 K 1/2) (+.f64 n m) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 (*.f64 K 1/2) (+.f64 n m) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 (*.f64 K 1/2) (+.f64 n m) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 (*.f64 K 1/2) (+.f64 n m) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 (*.f64 K 1/2) (+.f64 n m) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 (*.f64 K 1/2) (+.f64 n m) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 (*.f64 K 1/2) (+.f64 n m) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
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(fma.f64 K m (.f64 n (.f64 (pow.f64 (.f64 (pow.f64 K 13) (pow.f64 m 4)) 1/18) (pow.f64 (.f64 (pow.f64 K 13) (pow.f64 m 4)) 1/18))))
(fma.f64 n (.f64 (pow.f64 (.f64 (pow.f64 K 13) (pow.f64 m 4)) 1/18) (pow.f64 (.f64 (pow.f64 K 13) (pow.f64 m 4)) 1/18)) (.f64 K m))
(+.f64 (.f64 (pow.f64 n 2) (+.f64 (.f64 -1/9 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 17)) m) 1/9)) (+.f64 (.f64 2/9 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 17)) m) 1/9)) (.f64 (pow.f64 (.f64 1 (.f64 K m)) 1/3) (+.f64 (.f64 1/9 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 14)) (pow.f64 m 4)) 1/9)) (.f64 -2/9 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 14)) (pow.f64 m 4)) 1/9))))))) (+.f64 (.f64 (+.f64 (.f64 2/3 (pow.f64 (.f64 1 (.f64 (pow.f64 K 13) (pow.f64 m 4))) 1/9)) (.f64 1/3 (pow.f64 (.f64 1 (.f64 (pow.f64 K 13) (pow.f64 m 4))) 1/9))) n) (.f64 (pow.f64 1 1/3) (*.f64 K m))))
(fma.f64 (.f64 n n) (fma.f64 -1/9 (.f64 (pow.f64 (/.f64 (pow.f64 K 17) m) 1/18) (pow.f64 (/.f64 (pow.f64 K 17) m) 1/18)) (fma.f64 2/9 (.f64 (pow.f64 (/.f64 (pow.f64 K 17) m) 1/18) (pow.f64 (/.f64 (pow.f64 K 17) m) 1/18)) (.f64 (cbrt.f64 (.f64 K m)) (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 K 14) (pow.f64 m 4)) 1/18) (pow.f64 (/.f64 (pow.f64 K 14) (pow.f64 m 4)) 1/18)) -1/9)))) (fma.f64 (.f64 (.f64 (pow.f64 (.f64 (pow.f64 K 13) (pow.f64 m 4)) 1/18) (pow.f64 (.f64 (pow.f64 K 13) (pow.f64 m 4)) 1/18)) 1) n (.f64 K m)))
(fma.f64 (.f64 n n) (+.f64 (.f64 (cbrt.f64 (.f64 K m)) (.f64 (pow.f64 (/.f64 (pow.f64 K 14) (pow.f64 m 4)) 1/18) (.f64 (pow.f64 (/.f64 (pow.f64 K 14) (pow.f64 m 4)) 1/18) -1/9))) (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 K 17) m) 1/18) (pow.f64 (/.f64 (pow.f64 K 17) m) 1/18)) 1/9)) (fma.f64 K m (.f64 n (.f64 (pow.f64 (.f64 (pow.f64 K 13) (pow.f64 m 4)) 1/18) (pow.f64 (*.f64 (pow.f64 K 13) (pow.f64 m 4)) 1/18)))))
(fma.f64 (.f64 n n) (+.f64 (.f64 (cbrt.f64 (.f64 K m)) (.f64 (pow.f64 (/.f64 (pow.f64 K 14) (pow.f64 m 4)) 1/18) (.f64 (pow.f64 (/.f64 (pow.f64 K 14) (pow.f64 m 4)) 1/18) -1/9))) (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 K 17) m) 1/18) (pow.f64 (/.f64 (pow.f64 K 17) m) 1/18)) 1/9)) (fma.f64 n (.f64 (pow.f64 (.f64 (pow.f64 K 13) (pow.f64 m 4)) 1/18) (pow.f64 (.f64 (pow.f64 K 13) (pow.f64 m 4)) 1/18)) (*.f64 K m)))
(+.f64 (.f64 (pow.f64 n 2) (+.f64 (.f64 -1/9 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 17)) m) 1/9)) (+.f64 (.f64 2/9 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 17)) m) 1/9)) (.f64 (pow.f64 (.f64 1 (.f64 K m)) 1/3) (+.f64 (.f64 1/9 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 14)) (pow.f64 m 4)) 1/9)) (.f64 -2/9 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 14)) (pow.f64 m 4)) 1/9))))))) (+.f64 (.f64 (+.f64 (.f64 2/3 (pow.f64 (.f64 1 (.f64 (pow.f64 K 13) (pow.f64 m 4))) 1/9)) (.f64 1/3 (pow.f64 (.f64 1 (.f64 (pow.f64 K 13) (pow.f64 m 4))) 1/9))) n) (+.f64 (.f64 (pow.f64 n 3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 (pow.f64 K 7) (pow.f64 m 2)) 1/3))) (.f64 1/27 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 7)) (pow.f64 m 2)) 1/3))))) (+.f64 (.f64 (pow.f64 (.f64 1 (.f64 K m)) 1/3) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (.f64 K m)) 1/3) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 (pow.f64 K 7) (pow.f64 m 2)) 1/3))) (.f64 1/27 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 7)) (pow.f64 m 2)) 1/3))))) (.f64 -2/27 (.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 K 2) m))))) (+.f64 (.f64 -2/27 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 (pow.f64 K 7) (pow.f64 m 2)) 1/3))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 7)) (pow.f64 m 2)) 1/9) (+.f64 (.f64 1/9 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 14)) (pow.f64 m 4)) 1/9)) (.f64 -2/9 (pow.f64 (/.f64 (.f64 1 (pow.f64 K 14)) (pow.f64 m 4)) 1/9))))))))) (.f64 (pow.f64 1 1/3) (*.f64 K m)))))
(fma.f64 (.f64 n n) (fma.f64 -1/9 (.f64 (pow.f64 (/.f64 (pow.f64 K 17) m) 1/18) (pow.f64 (/.f64 (pow.f64 K 17) m) 1/18)) (fma.f64 2/9 (.f64 (pow.f64 (/.f64 (pow.f64 K 17) m) 1/18) (pow.f64 (/.f64 (pow.f64 K 17) m) 1/18)) (.f64 (cbrt.f64 (.f64 K m)) (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 K 14) (pow.f64 m 4)) 1/18) (pow.f64 (/.f64 (pow.f64 K 14) (pow.f64 m 4)) 1/18)) -1/9)))) (fma.f64 (.f64 (.f64 (pow.f64 (.f64 (pow.f64 K 13) (pow.f64 m 4)) 1/18) (pow.f64 (.f64 (pow.f64 K 13) (pow.f64 m 4)) 1/18)) 1) n (fma.f64 (pow.f64 n 3) (+.f64 (.f64 -1/3 (+.f64 (.f64 -2/9 (cbrt.f64 (/.f64 (pow.f64 K 7) (.f64 m m)))) (.f64 1/27 (cbrt.f64 (/.f64 (pow.f64 K 7) (.f64 m m)))))) (fma.f64 (cbrt.f64 (.f64 K m)) (fma.f64 -2/3 (.f64 (+.f64 (.f64 -2/9 (cbrt.f64 (/.f64 (pow.f64 K 7) (.f64 m m)))) (.f64 1/27 (cbrt.f64 (/.f64 (pow.f64 K 7) (.f64 m m))))) (cbrt.f64 (/.f64 1 (.f64 K m)))) (.f64 -2/27 (/.f64 (.f64 K K) m))) (+.f64 (.f64 -2/27 (cbrt.f64 (/.f64 (pow.f64 K 7) (.f64 m m)))) (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 K 7) (.f64 m m)) 1/18) (pow.f64 (/.f64 (pow.f64 K 7) (.f64 m m)) 1/18)) (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 K 14) (pow.f64 m 4)) 1/18) (pow.f64 (/.f64 (pow.f64 K 14) (pow.f64 m 4)) 1/18)) -1/9)))))) (*.f64 K m))))
(fma.f64 (.f64 n n) (+.f64 (.f64 (cbrt.f64 (.f64 K m)) (.f64 (pow.f64 (/.f64 (pow.f64 K 14) (pow.f64 m 4)) 1/18) (.f64 (pow.f64 (/.f64 (pow.f64 K 14) (pow.f64 m 4)) 1/18) -1/9))) (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 K 17) m) 1/18) (pow.f64 (/.f64 (pow.f64 K 17) m) 1/18)) 1/9)) (fma.f64 n (.f64 (pow.f64 (.f64 (pow.f64 K 13) (pow.f64 m 4)) 1/18) (pow.f64 (.f64 (pow.f64 K 13) (pow.f64 m 4)) 1/18)) (fma.f64 K m (.f64 (pow.f64 n 3) (fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 (pow.f64 K 7) (.f64 m m))) -5/27) (fma.f64 (cbrt.f64 (.f64 K m)) (fma.f64 -2/27 (/.f64 K (/.f64 m K)) (.f64 (.f64 (cbrt.f64 (/.f64 (pow.f64 K 7) (.f64 m m))) -5/27) (.f64 -2/3 (cbrt.f64 (/.f64 (/.f64 1 K) m))))) (fma.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 K 7) (.f64 m m)) 1/18) (pow.f64 (/.f64 (pow.f64 K 7) (.f64 m m)) 1/18))) (.f64 (pow.f64 (/.f64 (pow.f64 K 14) (pow.f64 m 4)) 1/18) (.f64 (pow.f64 (/.f64 (pow.f64 K 14) (pow.f64 m 4)) 1/18) -1/9)) (.f64 (cbrt.f64 (/.f64 (pow.f64 K 7) (.f64 m m))) -2/27))))))))
(fma.f64 (.f64 n n) (+.f64 (.f64 (cbrt.f64 (.f64 K m)) (.f64 (pow.f64 (/.f64 (pow.f64 K 14) (pow.f64 m 4)) 1/18) (.f64 (pow.f64 (/.f64 (pow.f64 K 14) (pow.f64 m 4)) 1/18) -1/9))) (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 K 17) m) 1/18) (pow.f64 (/.f64 (pow.f64 K 17) m) 1/18)) 1/9)) (fma.f64 n (.f64 (pow.f64 (.f64 (pow.f64 K 13) (pow.f64 m 4)) 1/18) (pow.f64 (.f64 (pow.f64 K 13) (pow.f64 m 4)) 1/18)) (fma.f64 (pow.f64 n 3) (+.f64 (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 K 7) (.f64 m m)) 1/18) (pow.f64 (/.f64 (pow.f64 K 7) (.f64 m m)) 1/18)) (.f64 (pow.f64 (/.f64 (pow.f64 K 14) (pow.f64 m 4)) 1/18) (.f64 (pow.f64 (/.f64 (pow.f64 K 14) (pow.f64 m 4)) 1/18) -1/9))) (.f64 (cbrt.f64 (/.f64 (pow.f64 K 7) (.f64 m m))) -2/27)) (+.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (pow.f64 K 7) (.f64 m m))) -5/27) (+.f64 -1/3 (.f64 (cbrt.f64 (.f64 K m)) (.f64 -2/3 (cbrt.f64 (/.f64 1 (.f64 K m))))))) (.f64 -2/27 (.f64 (.f64 (/.f64 K m) K) (cbrt.f64 (.f64 K m)))))) (.f64 K m))))

localize121.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	7.3b	(-.f64 (.f64 (.f64 K m) (.f64 K m)) (.f64 (.f64 K n) (.f64 K n)))
✓	16.4b	(/.f64 (-.f64 (.f64 (.f64 K m) (.f64 K m)) (.f64 (.f64 K n) (.f64 K n))) (pow.f64 (pow.f64 (*.f64 K (-.f64 m n)) 3) 1/3))
✓	17.0b	(cos.f64 (-.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 K m) (.f64 K m)) (.f64 (.f64 K n) (.f64 K n))) (pow.f64 (pow.f64 (*.f64 K (-.f64 m n)) 3) 1/3)) 2) M))
✓	34.0b	(pow.f64 (pow.f64 (*.f64 K (-.f64 m n)) 3) 1/3)

Compiler

Compiled 311 to 102 computations (67.2% saved)

series99.0ms (0.7%)

Counts

3 → 120

Calls

30 calls:

Time	Variable		Point	Expression
39.0ms	m	@	0	(/.f64 (-.f64 (.f64 (.f64 K m) (.f64 K m)) (.f64 (.f64 K n) (.f64 K n))) (pow.f64 (pow.f64 (*.f64 K (-.f64 m n)) 3) 1/3))
6.0ms	m	@	-inf	(pow.f64 (pow.f64 (*.f64 K (-.f64 m n)) 3) 1/3)
5.0ms	n	@	0	(pow.f64 (pow.f64 (*.f64 K (-.f64 m n)) 3) 1/3)
5.0ms	m	@	0	(pow.f64 (pow.f64 (*.f64 K (-.f64 m n)) 3) 1/3)
4.0ms	K	@	0	(pow.f64 (pow.f64 (*.f64 K (-.f64 m n)) 3) 1/3)

rewrite102.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

420×	`log1p-udef_binary64`
252×	`add-sqr-sqrt_binary64`
244×	`pow1_binary64`
242×	`*-un-lft-identity_binary64`
238×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	65
1	514	29
2	7556	29

Stop Event

1×	node limit

Counts

3 → 129

Calls

Call 1

Inputs

(pow.f64 (pow.f64 (*.f64 K (-.f64 m n)) 3) 1/3)

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

(/.f64 (-.f64 (*.f64 (*.f64 K m) (*.f64 K m)) (*.f64 (*.f64 K n) (*.f64 K n))) (pow.f64 (pow.f64 (*.f64 K (-.f64 m n)) 3) 1/3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 K (-.f64 m n)) (fma.f64 (neg.f64 n) K (*.f64 K n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 K (-.f64 m n)) (fma.f64 (neg.f64 K) n (*.f64 K n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 K (-.f64 m n)) (fma.f64 (*.f64 K (neg.f64 n)) 1 (*.f64 K n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 K (-.f64 m n)) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 K n))) (pow.f64 (cbrt.f64 (*.f64 K n)) 2) (*.f64 K n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 K (-.f64 m n)) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 K n))) (sqrt.f64 (*.f64 K n)) (*.f64 K n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 K m) (*.f64 K (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 K m) (*.f64 K n))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 K (-.f64 m n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 K (-.f64 m n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 m n) K)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 K (-.f64 m n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 K (-.f64 m n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 m n) 2)) (*.f64 (cbrt.f64 (-.f64 m n)) K))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 K) 2) (*.f64 (cbrt.f64 K) (-.f64 m n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 K (-.f64 m n))) (pow.f64 (cbrt.f64 (*.f64 K (-.f64 m n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 K (-.f64 m n))) (pow.f64 (pow.f64 (*.f64 K (-.f64 m n)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 K (-.f64 m n))) 2) (cbrt.f64 (*.f64 K (-.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 m n)) (*.f64 (sqrt.f64 (-.f64 m n)) K))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 K) (*.f64 (sqrt.f64 K) (-.f64 m n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 K (-.f64 m n))) (sqrt.f64 (*.f64 K (-.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 K (-.f64 m n)) 2) 1/3) (cbrt.f64 (*.f64 K (-.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 K (-.f64 m n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 K (-.f64 m n)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 K (-.f64 m n)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 K m)) (sqrt.f64 (*.f64 K n))) (-.f64 (sqrt.f64 (*.f64 K m)) (sqrt.f64 (*.f64 K n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 K (cbrt.f64 (pow.f64 (-.f64 m n) 2))) (cbrt.f64 (-.f64 m n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 K (sqrt.f64 (-.f64 m n))) (sqrt.f64 (-.f64 m n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 m n) (pow.f64 (cbrt.f64 K) 2)) (cbrt.f64 K))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 m n) (sqrt.f64 K)) (sqrt.f64 K))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 K (-.f64 m n)) (*.f64 K (+.f64 m n))) (*.f64 K (+.f64 m n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 K m) 3) (pow.f64 (*.f64 K n) 3)) (+.f64 (pow.f64 (*.f64 K m) 2) (+.f64 (pow.f64 (*.f64 K n) 2) (*.f64 (*.f64 K m) (*.f64 K n)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 m 3) (pow.f64 n 3)) K) (fma.f64 m m (*.f64 n (+.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 m m) (*.f64 n n)) K) (+.f64 m n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 K (-.f64 (pow.f64 m 3) (pow.f64 n 3))) (fma.f64 m m (*.f64 n (+.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 K (-.f64 (*.f64 m m) (*.f64 n n))) (+.f64 m n))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 K (-.f64 m n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 K) (-.f64 m n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 K (-.f64 m n)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (pow.f64 (exp.f64 m) K) (pow.f64 (exp.f64 n) K)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 K (-.f64 m n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 K (-.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 K (-.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 K (-.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 K (-.f64 m n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 K m (*.f64 K (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 m K (*.f64 K (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 K m) (*.f64 K (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 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simplify147.0ms (1%)

Algorithm

1×	egg-herbie

Rules

501×	`associate-r_binary64`
493×	`fma-neg_binary64`
356×	`unswap-sqr_binary64`
343×	`fma-def_binary64`
341×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	372	5268
1	1338	4840
2	5996	4840

Stop Event

1×	node limit

Counts

249 → 223

Calls

Call 1

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

Outputs
(*.f64 K (-.f64 m n))
(*.f64 K (-.f64 m n))
(*.f64 K (-.f64 m n))
(*.f64 K (-.f64 m n))
(*.f64 K (-.f64 m n))
(*.f64 K (-.f64 m n))
(*.f64 K (-.f64 m n))
(*.f64 K (-.f64 m n))
(.f64 -1 (.f64 K (*.f64 (cbrt.f64 -1) (-.f64 m n))))
(neg.f64 (.f64 K (.f64 (-.f64 m n) (cbrt.f64 -1))))
(.f64 K (neg.f64 (.f64 (-.f64 m n) (cbrt.f64 -1))))
(.f64 -1 (.f64 K (*.f64 (cbrt.f64 -1) (-.f64 m n))))
(neg.f64 (.f64 K (.f64 (-.f64 m n) (cbrt.f64 -1))))
(.f64 K (neg.f64 (.f64 (-.f64 m n) (cbrt.f64 -1))))
(.f64 -1 (.f64 K (*.f64 (cbrt.f64 -1) (-.f64 m n))))
(neg.f64 (.f64 K (.f64 (-.f64 m n) (cbrt.f64 -1))))
(.f64 K (neg.f64 (.f64 (-.f64 m n) (cbrt.f64 -1))))
(.f64 -1 (.f64 K (*.f64 (cbrt.f64 -1) (-.f64 m n))))
(neg.f64 (.f64 K (.f64 (-.f64 m n) (cbrt.f64 -1))))
(.f64 K (neg.f64 (.f64 (-.f64 m n) (cbrt.f64 -1))))
(.f64 n (.f64 K (cbrt.f64 -1)))
(.f64 (.f64 K n) (cbrt.f64 -1))
(.f64 K (.f64 n (cbrt.f64 -1)))
(+.f64 (.f64 n (.f64 K (cbrt.f64 -1))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 n 2) (.f64 (pow.f64 K 2) (pow.f64 (cbrt.f64 -1) 2)))) 1/3) (.f64 (+.f64 (.f64 (pow.f64 n 2) (pow.f64 K 3)) (.f64 2 (.f64 (pow.f64 n 2) (pow.f64 K 3)))) m))))
(fma.f64 n (.f64 K (cbrt.f64 -1)) (.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 n n)) (.f64 (.f64 K K) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 m (.f64 3 (.f64 (.f64 n n) (pow.f64 K 3)))))))
(fma.f64 n (.f64 K (cbrt.f64 -1)) (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 K K) (.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 n n))))) (.f64 (.f64 m (.f64 (.f64 3 (pow.f64 K 3)) (*.f64 n n))) 1/3)))
(+.f64 (.f64 n (.f64 K (cbrt.f64 -1))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 -2 (.f64 n (pow.f64 K 3))) (.f64 -1 (.f64 n (pow.f64 K 3)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 n (.f64 K (cbrt.f64 -1)))) 1/3) (pow.f64 (+.f64 (.f64 (pow.f64 n 2) (pow.f64 K 3)) (.f64 2 (.f64 (pow.f64 n 2) (pow.f64 K 3)))) 2)))) (pow.f64 m 2)) (.f64 (pow.f64 n 2) (.f64 (pow.f64 K 2) (pow.f64 (cbrt.f64 -1) 2))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 n 2) (.f64 (pow.f64 K 2) (pow.f64 (cbrt.f64 -1) 2)))) 1/3) (.f64 (+.f64 (.f64 (pow.f64 n 2) (pow.f64 K 3)) (.f64 2 (*.f64 (pow.f64 n 2) (pow.f64 K 3)))) m)))))
(fma.f64 n (.f64 K (cbrt.f64 -1)) (.f64 1/3 (+.f64 (.f64 (/.f64 (-.f64 (.f64 (.f64 n (pow.f64 K 3)) -3) (.f64 (.f64 1/3 (cbrt.f64 (/.f64 1 (.f64 (.f64 K n) (cbrt.f64 -1))))) (pow.f64 (.f64 3 (.f64 (.f64 n n) (pow.f64 K 3))) 2))) (.f64 n n)) (/.f64 (.f64 m m) (.f64 (.f64 K K) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 n n)) (.f64 (.f64 K K) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 m (.f64 3 (.f64 (.f64 n n) (pow.f64 K 3))))))))
(fma.f64 1/3 (fma.f64 (/.f64 (fma.f64 (.f64 n (pow.f64 K 3)) -3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 K (.f64 n (cbrt.f64 -1))))) (pow.f64 (.f64 (.f64 3 (pow.f64 K 3)) (.f64 n n)) 2)) -1/3)) (.f64 n n)) (.f64 (/.f64 m (.f64 K K)) (/.f64 m (pow.f64 (cbrt.f64 -1) 2))) (.f64 m (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 K K) (.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 n n))))) (.f64 (.f64 3 (pow.f64 K 3)) (.f64 n n))))) (.f64 K (.f64 n (cbrt.f64 -1))))
(fma.f64 1/3 (fma.f64 (/.f64 (fma.f64 n (.f64 (pow.f64 K 3) -3) (.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 K (.f64 n (cbrt.f64 -1))))) (pow.f64 (.f64 (.f64 3 (pow.f64 K 3)) (.f64 n n)) 2)) -1/3)) (.f64 n n)) (.f64 (/.f64 m (.f64 K K)) (/.f64 m (pow.f64 (cbrt.f64 -1) 2))) (.f64 m (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 K K) (.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 n n))))) (.f64 (.f64 3 (pow.f64 K 3)) (.f64 n n))))) (.f64 K (.f64 n (cbrt.f64 -1))))
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(cos.f64 (fma.f64 (/.f64 1/2 K) (/.f64 (.f64 (.f64 K K) (-.f64 (.f64 m m) (.f64 n n))) (-.f64 m n)) (neg.f64 M)))
(cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (.f64 (pow.f64 1 1/3) (/.f64 (-.f64 (.f64 (pow.f64 K 2) (pow.f64 m 2)) (.f64 (pow.f64 n 2) (pow.f64 K 2))) (.f64 K (-.f64 m n)))))))
(cos.f64 (-.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 (.f64 K K) (.f64 m m)) (.f64 (.f64 n n) (.f64 K K))) (.f64 K (-.f64 m n)))) M))
(cos.f64 (-.f64 (.f64 1/2 (/.f64 (.f64 (.f64 K K) (-.f64 (.f64 m m) (.f64 n n))) (.f64 K (-.f64 m n)))) M))
(cos.f64 (fma.f64 (/.f64 1/2 K) (/.f64 (.f64 (.f64 K K) (-.f64 (.f64 m m) (.f64 n n))) (-.f64 m n)) (neg.f64 M)))
(/.f64 (*.f64 K (-.f64 (pow.f64 m 2) (pow.f64 n 2))) (-.f64 m n))
(/.f64 (.f64 K (-.f64 (.f64 m m) (*.f64 n n))) (-.f64 m n))
(.f64 (/.f64 K (-.f64 m n)) (-.f64 (.f64 m m) (*.f64 n n)))
(/.f64 (*.f64 K (-.f64 (pow.f64 m 2) (pow.f64 n 2))) (-.f64 m n))
(/.f64 (.f64 K (-.f64 (.f64 m m) (*.f64 n n))) (-.f64 m n))
(.f64 (/.f64 K (-.f64 m n)) (-.f64 (.f64 m m) (*.f64 n n)))
(/.f64 (*.f64 K (-.f64 (pow.f64 m 2) (pow.f64 n 2))) (-.f64 m n))
(/.f64 (.f64 K (-.f64 (.f64 m m) (*.f64 n n))) (-.f64 m n))
(.f64 (/.f64 K (-.f64 m n)) (-.f64 (.f64 m m) (*.f64 n n)))
(/.f64 (*.f64 K (-.f64 (pow.f64 m 2) (pow.f64 n 2))) (-.f64 m n))
(/.f64 (.f64 K (-.f64 (.f64 m m) (*.f64 n n))) (-.f64 m n))
(.f64 (/.f64 K (-.f64 m n)) (-.f64 (.f64 m m) (*.f64 n n)))
(/.f64 (*.f64 K (-.f64 (pow.f64 m 2) (pow.f64 n 2))) (-.f64 m n))
(/.f64 (.f64 K (-.f64 (.f64 m m) (*.f64 n n))) (-.f64 m n))
(.f64 (/.f64 K (-.f64 m n)) (-.f64 (.f64 m m) (*.f64 n n)))
(/.f64 (*.f64 K (-.f64 (pow.f64 m 2) (pow.f64 n 2))) (-.f64 m n))
(/.f64 (.f64 K (-.f64 (.f64 m m) (*.f64 n n))) (-.f64 m n))
(.f64 (/.f64 K (-.f64 m n)) (-.f64 (.f64 m m) (*.f64 n n)))
(/.f64 (*.f64 K (-.f64 (pow.f64 m 2) (pow.f64 n 2))) (-.f64 m n))
(/.f64 (.f64 K (-.f64 (.f64 m m) (*.f64 n n))) (-.f64 m n))
(.f64 (/.f64 K (-.f64 m n)) (-.f64 (.f64 m m) (*.f64 n n)))
(/.f64 (*.f64 K (-.f64 (pow.f64 m 2) (pow.f64 n 2))) (-.f64 m n))
(/.f64 (.f64 K (-.f64 (.f64 m m) (*.f64 n n))) (-.f64 m n))
(.f64 (/.f64 K (-.f64 m n)) (-.f64 (.f64 m m) (*.f64 n n)))
(.f64 -1 (/.f64 (.f64 K (*.f64 (cbrt.f64 -1) (-.f64 (pow.f64 m 2) (pow.f64 n 2)))) (-.f64 m n)))
(neg.f64 (/.f64 K (/.f64 (-.f64 m n) (.f64 (cbrt.f64 -1) (-.f64 (.f64 m m) (*.f64 n n))))))
(/.f64 (.f64 (neg.f64 K) (.f64 (cbrt.f64 -1) (-.f64 (.f64 m m) (.f64 n n)))) (-.f64 m n))
(.f64 -1 (/.f64 (.f64 K (*.f64 (cbrt.f64 -1) (-.f64 (pow.f64 m 2) (pow.f64 n 2)))) (-.f64 m n)))
(neg.f64 (/.f64 K (/.f64 (-.f64 m n) (.f64 (cbrt.f64 -1) (-.f64 (.f64 m m) (*.f64 n n))))))
(/.f64 (.f64 (neg.f64 K) (.f64 (cbrt.f64 -1) (-.f64 (.f64 m m) (.f64 n n)))) (-.f64 m n))
(.f64 -1 (/.f64 (.f64 K (*.f64 (cbrt.f64 -1) (-.f64 (pow.f64 m 2) (pow.f64 n 2)))) (-.f64 m n)))
(neg.f64 (/.f64 K (/.f64 (-.f64 m n) (.f64 (cbrt.f64 -1) (-.f64 (.f64 m m) (*.f64 n n))))))
(/.f64 (.f64 (neg.f64 K) (.f64 (cbrt.f64 -1) (-.f64 (.f64 m m) (.f64 n n)))) (-.f64 m n))
(.f64 -1 (/.f64 (.f64 K (*.f64 (cbrt.f64 -1) (-.f64 (pow.f64 m 2) (pow.f64 n 2)))) (-.f64 m n)))
(neg.f64 (/.f64 K (/.f64 (-.f64 m n) (.f64 (cbrt.f64 -1) (-.f64 (.f64 m m) (*.f64 n n))))))
(/.f64 (.f64 (neg.f64 K) (.f64 (cbrt.f64 -1) (-.f64 (.f64 m m) (.f64 n n)))) (-.f64 m n))
(*.f64 n K)
(*.f64 K n)
(+.f64 (.f64 n K) (.f64 K m))
(fma.f64 n K (*.f64 K m))
(*.f64 K (+.f64 m n))
(+.f64 (.f64 n K) (.f64 K m))
(fma.f64 n K (*.f64 K m))
(*.f64 K (+.f64 m n))
(+.f64 (.f64 n K) (.f64 K m))
(fma.f64 n K (*.f64 K m))
(*.f64 K (+.f64 m n))
(*.f64 K m)
(+.f64 (.f64 n K) (.f64 K m))
(fma.f64 n K (*.f64 K m))
(*.f64 K (+.f64 m n))
(+.f64 (.f64 n K) (.f64 K m))
(fma.f64 n K (*.f64 K m))
(*.f64 K (+.f64 m n))
(+.f64 (.f64 n K) (.f64 K m))
(fma.f64 n K (*.f64 K m))
(*.f64 K (+.f64 m n))
(.f64 -1 (.f64 K (*.f64 (cbrt.f64 -1) m)))
(neg.f64 (.f64 K (.f64 m (cbrt.f64 -1))))
(.f64 (.f64 K (neg.f64 m)) (cbrt.f64 -1))
(+.f64 (.f64 -1 (.f64 n (.f64 K (cbrt.f64 -1)))) (.f64 -1 (.f64 K (.f64 (cbrt.f64 -1) m))))
(.f64 -1 (+.f64 (.f64 (.f64 K n) (cbrt.f64 -1)) (.f64 K (*.f64 m (cbrt.f64 -1)))))
(neg.f64 (.f64 (.f64 K (cbrt.f64 -1)) (+.f64 n m)))
(+.f64 (.f64 -1 (.f64 n (.f64 K (cbrt.f64 -1)))) (.f64 -1 (.f64 K (.f64 (cbrt.f64 -1) m))))
(.f64 -1 (+.f64 (.f64 (.f64 K n) (cbrt.f64 -1)) (.f64 K (*.f64 m (cbrt.f64 -1)))))
(neg.f64 (.f64 (.f64 K (cbrt.f64 -1)) (+.f64 n m)))
(+.f64 (.f64 -1 (.f64 n (.f64 K (cbrt.f64 -1)))) (.f64 -1 (.f64 K (.f64 (cbrt.f64 -1) m))))
(.f64 -1 (+.f64 (.f64 (.f64 K n) (cbrt.f64 -1)) (.f64 K (*.f64 m (cbrt.f64 -1)))))
(neg.f64 (.f64 (.f64 K (cbrt.f64 -1)) (+.f64 n m)))
(*.f64 K m)
(+.f64 (.f64 n K) (.f64 K m))
(fma.f64 n K (*.f64 K m))
(*.f64 K (+.f64 m n))
(+.f64 (.f64 n K) (.f64 K m))
(fma.f64 n K (*.f64 K m))
(*.f64 K (+.f64 m n))
(+.f64 (.f64 n K) (.f64 K m))
(fma.f64 n K (*.f64 K m))
(*.f64 K (+.f64 m n))
(*.f64 n K)
(*.f64 K n)
(+.f64 (.f64 n K) (.f64 K m))
(fma.f64 n K (*.f64 K m))
(*.f64 K (+.f64 m n))
(+.f64 (.f64 n K) (.f64 K m))
(fma.f64 n K (*.f64 K m))
(*.f64 K (+.f64 m n))
(+.f64 (.f64 n K) (.f64 K m))
(fma.f64 n K (*.f64 K m))
(*.f64 K (+.f64 m n))
(*.f64 n K)
(*.f64 K n)
(+.f64 (.f64 n K) (.f64 K m))
(fma.f64 n K (*.f64 K m))
(*.f64 K (+.f64 m n))
(+.f64 (.f64 n K) (.f64 K m))
(fma.f64 n K (*.f64 K m))
(*.f64 K (+.f64 m n))
(+.f64 (.f64 n K) (.f64 K m))
(fma.f64 n K (*.f64 K m))
(*.f64 K (+.f64 m n))

eval730.0ms (5%)

Compiler: Compiled 42390 to 20061 computations (52.7% saved)

prune343.0ms (2.3%)

Pruning

30 alts after pruning (29 fresh and 1 done)

	Pruned	Kept	Total
New	960	17	977
Fresh	7	12	19
Picked	1	0	1
Done	3	1	4
Total	971	30	1001

Error

1.5b

Counts

1001 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	45.5b	(/.f64 (cos.f64 M) (exp.f64 l))
▶	32.6b	(.f64 (fma.f64 (.f64 K K) (.f64 m (.f64 m -1/8)) 1) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	34.2b	(.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (+.f64 m n) (.f64 K 1/2) (neg.f64 M)))) 3) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	10.6b	(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 K (*.f64 m 1/2)))) 3) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	22.4b	(.f64 (.f64 (fma.f64 (.f64 K (.f64 m (.f64 K m))) -1/12 1) (cbrt.f64 (cos.f64 (.f64 K (*.f64 m 1/2))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	10.6b	(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))) 2) (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))))) 2) (cbrt.f64 (cos.f64 (.f64 K (*.f64 m 1/2))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
✓	10.6b	(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))) 2) (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	45.7b	(.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (pow.f64 (.f64 n K) 1/3) 3) 2) M)) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	49.0b	(.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (pow.f64 (.f64 K (+.f64 m n)) 3) 1/3) 2) M)) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	34.3b	(.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 K (+.f64 m n)))) 3) 3) 2) M)) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	32.6b	(.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 K m)) 3) 2) M)) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	41.9b	(.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (.f64 K (+.f64 m n))))) 3) 2) M)) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	37.9b	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 K m) (.f64 K m)) (.f64 (.f64 K n) (.f64 K n))) (/.f64 (.f64 (-.f64 (.f64 m m) (.f64 n n)) 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))))))
	42.4b	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 K m) (.f64 K m)) (.f64 (.f64 K n) (.f64 K n))) (-.f64 (.f64 K m) (.f64 K n))) 2) M)) (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	40.4b	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (.f64 (-.f64 (.f64 m m) (.f64 n n)) K) (-.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	41.5b	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (.f64 (.f64 K m) (.f64 K m)) (pow.f64 (pow.f64 (*.f64 K (-.f64 m n)) 3) 1/3)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	48.1b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 (pow.f64 (.f64 K (+.f64 m n)) 1/6) (.f64 (pow.f64 (.f64 K (+.f64 m n)) 1/6) (pow.f64 (cbrt.f64 (.f64 K (+.f64 m n))) 2))) 2) M)) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	34.3b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 m n)) 2) (.f64 (cbrt.f64 (+.f64 m n)) K)) 2) M)) (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	34.2b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (*.f64 -1 (pow.f64 M 2))))
	47.6b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l)))
	31.9b	(.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	47.1b	(.f64 (cos.f64 (.f64 K (*.f64 m 1/2))) (exp.f64 (neg.f64 l)))
	45.6b	(.f64 (cos.f64 (expm1.f64 (log1p.f64 (fma.f64 (+.f64 m n) (.f64 K 1/2) (neg.f64 M))))) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	60.5b	(*.f64 (cos.f64 M) (-.f64 1 l))
	52.1b	(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))
	30.3b	(.f64 (cos.f64 M) (exp.f64 (.f64 n (*.f64 n -1/4))))
	29.3b	(.f64 (cos.f64 M) (exp.f64 (.f64 m (*.f64 m -1/4))))
	27.3b	(.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M))))
	45.5b	(exp.f64 (neg.f64 l))
▶	60.3b	(cos.f64 M)

Compiler

Compiled 1683 to 1171 computations (30.4% saved)

localize131.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))) 2) (cbrt.f64 (cos.f64 (.f64 K (*.f64 m 1/2)))))) 2)
✓	0.4b	(cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))) 2) (cbrt.f64 (cos.f64 (.f64 K (*.f64 m 1/2))))))
	0.4b	(cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
	30.4b	(cos.f64 (.f64 K (.f64 m 1/2)))

Compiler

Compiled 254 to 159 computations (37.4% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	K	@	0	(cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))) 2) (cbrt.f64 (cos.f64 (.f64 K (*.f64 m 1/2))))))
0.0ms	m	@	0	(pow.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))) 2) (cbrt.f64 (cos.f64 (.f64 K (*.f64 m 1/2)))))) 2)
0.0ms	K	@	0	(pow.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))) 2) (cbrt.f64 (cos.f64 (.f64 K (*.f64 m 1/2)))))) 2)
0.0ms	K	@	inf	(pow.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))) 2) (cbrt.f64 (cos.f64 (.f64 K (*.f64 m 1/2)))))) 2)
0.0ms	m	@	0	(cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))) 2) (cbrt.f64 (cos.f64 (.f64 K (*.f64 m 1/2))))))

rewrite63.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

863×	`pow1_binary64`
801×	`add-log-exp_binary64`
800×	`log1p-expm1-u_binary64`
800×	`expm1-log1p-u_binary64`
782×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	25
1	268	25
2	2317	25

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

Inputs

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2))))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 (*.f64 K (*.f64 m 1/2))) 1/6) (pow.f64 (cos.f64 (*.f64 K (*.f64 m 1/2))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))) 1/3) (pow.f64 (sqrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 K (*.f64 m 1/2))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 K (*.f64 m 1/2))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2))))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))) (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2))))) (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))) (pow.f64 (cos.f64 (*.f64 K (*.f64 m 1/2))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 (*.f64 K (*.f64 m 1/2))) 1/6) (sqrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))) 2))) (cbrt.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (*.f64 K (*.f64 m 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (cos.f64 (*.f64 K (*.f64 m 1/2)))))))))))

simplify62.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

716×	`associate-r_binary64`
715×	`associate-l_binary64`
600×	`fma-def_binary64`
511×	`cancel-sign-sub-inv_binary64`
305×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	893
1	283	849
2	1020	764
3	6010	738

Stop Event

1×	node limit

Counts

84 → 57

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 -1/24 (.f64 (pow.f64 K 2) (pow.f64 m 2))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 K 4) (-.f64 (.f64 1/384 (pow.f64 m 4)) (.f64 1/192 (pow.f64 m 4))))) (+.f64 1 (.f64 -1/24 (.f64 (pow.f64 K 2) (pow.f64 m 2)))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 K 4) (-.f64 (.f64 1/384 (pow.f64 m 4)) (.f64 1/192 (pow.f64 m 4))))) (+.f64 1 (+.f64 (.f64 -1/24 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (.f64 1/3 (.f64 (pow.f64 K 6) (-.f64 (.f64 -1/46080 (pow.f64 m 6)) (+.f64 (.f64 -1/13824 (pow.f64 m 6)) (.f64 -1/12 (.f64 (-.f64 (.f64 1/384 (pow.f64 m 4)) (.f64 1/192 (pow.f64 m 4))) (pow.f64 m 2))))))))))
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
1
(+.f64 1 (.f64 -1/24 (.f64 (pow.f64 K 2) (pow.f64 m 2))))
(+.f64 1 (+.f64 (.f64 -1/24 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (.f64 1/3 (.f64 (-.f64 (.f64 1/384 (pow.f64 K 4)) (.f64 1/192 (pow.f64 K 4))) (pow.f64 m 4)))))
(+.f64 1 (+.f64 (.f64 -1/24 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 1/384 (pow.f64 K 4)) (.f64 1/192 (pow.f64 K 4))) (pow.f64 m 4))) (.f64 1/3 (.f64 (-.f64 (.f64 -1/46080 (pow.f64 K 6)) (+.f64 (.f64 -1/13824 (pow.f64 K 6)) (.f64 -1/12 (.f64 (pow.f64 K 2) (-.f64 (.f64 1/384 (pow.f64 K 4)) (.f64 1/192 (pow.f64 K 4))))))) (pow.f64 m 6))))))
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
1
(+.f64 (.f64 -1/12 (.f64 (pow.f64 K 2) (pow.f64 m 2))) 1)
(+.f64 (.f64 -1/12 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (.f64 (+.f64 (.f64 1/576 (pow.f64 m 4)) (.f64 2/3 (-.f64 (.f64 1/384 (pow.f64 m 4)) (*.f64 1/192 (pow.f64 m 4))))) (pow.f64 K 4))))
(+.f64 (.f64 -1/12 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (+.f64 (.f64 (+.f64 (.f64 1/576 (pow.f64 m 4)) (.f64 2/3 (-.f64 (.f64 1/384 (pow.f64 m 4)) (.f64 1/192 (pow.f64 m 4))))) (pow.f64 K 4)) (.f64 (pow.f64 K 6) (+.f64 (.f64 2/3 (-.f64 (.f64 -1/46080 (pow.f64 m 6)) (+.f64 (.f64 -1/13824 (pow.f64 m 6)) (.f64 -1/12 (.f64 (-.f64 (.f64 1/384 (pow.f64 m 4)) (.f64 1/192 (pow.f64 m 4))) (pow.f64 m 2)))))) (.f64 -1/36 (.f64 (-.f64 (.f64 1/384 (pow.f64 m 4)) (*.f64 1/192 (pow.f64 m 4))) (pow.f64 m 2))))))))
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
1
(+.f64 (.f64 -1/12 (.f64 (pow.f64 K 2) (pow.f64 m 2))) 1)
(+.f64 (.f64 -1/12 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (.f64 (+.f64 (.f64 1/576 (pow.f64 K 4)) (.f64 2/3 (-.f64 (.f64 1/384 (pow.f64 K 4)) (*.f64 1/192 (pow.f64 K 4))))) (pow.f64 m 4))))
(+.f64 (.f64 -1/12 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (+.f64 (.f64 (pow.f64 m 6) (+.f64 (.f64 2/3 (-.f64 (.f64 -1/46080 (pow.f64 K 6)) (+.f64 (.f64 -1/13824 (pow.f64 K 6)) (.f64 -1/12 (.f64 (pow.f64 K 2) (-.f64 (.f64 1/384 (pow.f64 K 4)) (.f64 1/192 (pow.f64 K 4)))))))) (.f64 -1/36 (.f64 (pow.f64 K 2) (-.f64 (.f64 1/384 (pow.f64 K 4)) (.f64 1/192 (pow.f64 K 4))))))) (.f64 (+.f64 (.f64 1/576 (pow.f64 K 4)) (.f64 2/3 (-.f64 (.f64 1/384 (pow.f64 K 4)) (*.f64 1/192 (pow.f64 K 4))))) (pow.f64 m 4)))))
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)

Outputs
1
(+.f64 1 (.f64 -1/24 (.f64 (pow.f64 K 2) (pow.f64 m 2))))
(+.f64 1 (.f64 (.f64 -1/24 (.f64 K K)) (.f64 m m)))
(fma.f64 -1/24 (.f64 (.f64 K m) (*.f64 K m)) 1)
(+.f64 (.f64 1/3 (.f64 (pow.f64 K 4) (-.f64 (.f64 1/384 (pow.f64 m 4)) (.f64 1/192 (pow.f64 m 4))))) (+.f64 1 (.f64 -1/24 (.f64 (pow.f64 K 2) (pow.f64 m 2)))))
(fma.f64 1/3 (.f64 (pow.f64 K 4) (.f64 (pow.f64 m 4) -1/384)) (+.f64 1 (.f64 (.f64 -1/24 (.f64 K K)) (.f64 m m))))
(fma.f64 1/3 (.f64 (pow.f64 K 4) (.f64 (pow.f64 m 4) -1/384)) (fma.f64 -1/24 (.f64 (.f64 K m) (*.f64 K m)) 1))
(fma.f64 (pow.f64 K 4) (.f64 (pow.f64 m 4) -1/1152) (fma.f64 -1/24 (.f64 (.f64 K m) (.f64 K m)) 1))
(+.f64 (.f64 1/3 (.f64 (pow.f64 K 4) (-.f64 (.f64 1/384 (pow.f64 m 4)) (.f64 1/192 (pow.f64 m 4))))) (+.f64 1 (+.f64 (.f64 -1/24 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (.f64 1/3 (.f64 (pow.f64 K 6) (-.f64 (.f64 -1/46080 (pow.f64 m 6)) (+.f64 (.f64 -1/13824 (pow.f64 m 6)) (.f64 -1/12 (.f64 (-.f64 (.f64 1/384 (pow.f64 m 4)) (.f64 1/192 (pow.f64 m 4))) (pow.f64 m 2))))))))))
(fma.f64 1/3 (.f64 (pow.f64 K 4) (.f64 (pow.f64 m 4) -1/384)) (+.f64 1 (fma.f64 -1/24 (.f64 (.f64 K K) (.f64 m m)) (.f64 (.f64 1/3 (pow.f64 K 6)) (-.f64 (.f64 -1/46080 (pow.f64 m 6)) (fma.f64 -1/13824 (pow.f64 m 6) (.f64 (.f64 -1/12 (.f64 (pow.f64 m 4) -1/384)) (.f64 m m))))))))
(+.f64 (fma.f64 -1/24 (.f64 (.f64 K m) (.f64 K m)) (.f64 1/3 (.f64 (pow.f64 K 6) (-.f64 (.f64 (pow.f64 m 6) 7/138240) (.f64 (.f64 m m) (.f64 (.f64 (pow.f64 m 4) -1/384) -1/12)))))) (fma.f64 1/3 (.f64 (pow.f64 K 4) (.f64 (pow.f64 m 4) -1/384)) 1))
(fma.f64 (pow.f64 K 4) (.f64 (pow.f64 m 4) -1/1152) (fma.f64 -1/24 (.f64 (.f64 K m) (.f64 K m)) (fma.f64 (pow.f64 K 6) (.f64 1/3 (-.f64 (.f64 (pow.f64 m 6) 7/138240) (*.f64 (pow.f64 m 6) 1/4608))) 1)))
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/2 (.f64 K m))))
(cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/2 (.f64 K m))))
(cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/2 (.f64 K m))))
(cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/2 (.f64 K m))))
(cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/2 (.f64 K m))))
(cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/2 (.f64 K m))))
(cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/2 (.f64 K m))))
(cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/2 (.f64 K m))))
(cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
1
(+.f64 1 (.f64 -1/24 (.f64 (pow.f64 K 2) (pow.f64 m 2))))
(+.f64 1 (.f64 (.f64 -1/24 (.f64 K K)) (.f64 m m)))
(fma.f64 -1/24 (.f64 (.f64 K m) (*.f64 K m)) 1)
(+.f64 1 (+.f64 (.f64 -1/24 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (.f64 1/3 (.f64 (-.f64 (.f64 1/384 (pow.f64 K 4)) (.f64 1/192 (pow.f64 K 4))) (pow.f64 m 4)))))
(fma.f64 1/3 (.f64 (pow.f64 K 4) (.f64 (pow.f64 m 4) -1/384)) (+.f64 1 (.f64 (.f64 -1/24 (.f64 K K)) (.f64 m m))))
(fma.f64 1/3 (.f64 (pow.f64 K 4) (.f64 (pow.f64 m 4) -1/384)) (fma.f64 -1/24 (.f64 (.f64 K m) (*.f64 K m)) 1))
(fma.f64 (pow.f64 K 4) (.f64 (pow.f64 m 4) -1/1152) (fma.f64 -1/24 (.f64 (.f64 K m) (.f64 K m)) 1))
(+.f64 1 (+.f64 (.f64 -1/24 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 1/384 (pow.f64 K 4)) (.f64 1/192 (pow.f64 K 4))) (pow.f64 m 4))) (.f64 1/3 (.f64 (-.f64 (.f64 -1/46080 (pow.f64 K 6)) (+.f64 (.f64 -1/13824 (pow.f64 K 6)) (.f64 -1/12 (.f64 (pow.f64 K 2) (-.f64 (.f64 1/384 (pow.f64 K 4)) (.f64 1/192 (pow.f64 K 4))))))) (pow.f64 m 6))))))
(+.f64 1 (fma.f64 -1/24 (.f64 (.f64 K K) (.f64 m m)) (.f64 1/3 (+.f64 (.f64 (pow.f64 m 4) (.f64 (pow.f64 K 4) -1/384)) (.f64 (pow.f64 m 6) (-.f64 (.f64 (pow.f64 K 6) -1/46080) (fma.f64 -1/13824 (pow.f64 K 6) (.f64 -1/12 (.f64 (.f64 K K) (.f64 (pow.f64 K 4) -1/384))))))))))
(+.f64 1 (fma.f64 -1/24 (.f64 (.f64 K m) (.f64 K m)) (.f64 1/3 (fma.f64 (pow.f64 m 4) (.f64 (pow.f64 K 4) -1/384) (.f64 (pow.f64 m 6) (+.f64 (.f64 (pow.f64 K 6) 7/138240) (.f64 1/12 (.f64 (.f64 K K) (*.f64 (pow.f64 K 4) -1/384)))))))))
(fma.f64 -1/24 (.f64 (.f64 K m) (.f64 K m)) (fma.f64 1/3 (fma.f64 (pow.f64 m 6) (-.f64 (.f64 (pow.f64 K 6) 7/138240) (.f64 (pow.f64 K 6) 1/4608)) (.f64 (pow.f64 K 4) (*.f64 (pow.f64 m 4) -1/384))) 1))
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/2 (.f64 K m))))
(cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/2 (.f64 K m))))
(cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/2 (.f64 K m))))
(cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/2 (.f64 K m))))
(cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/2 (.f64 K m))))
(cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/2 (.f64 K m))))
(cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/2 (.f64 K m))))
(cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
(pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 1/3)
(cbrt.f64 (cos.f64 (.f64 1/2 (.f64 K m))))
(cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
1
(+.f64 (.f64 -1/12 (.f64 (pow.f64 K 2) (pow.f64 m 2))) 1)
(fma.f64 -1/12 (.f64 (.f64 K K) (*.f64 m m)) 1)
(fma.f64 (.f64 (.f64 K m) (*.f64 K m)) -1/12 1)
(+.f64 (.f64 -1/12 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (.f64 (+.f64 (.f64 1/576 (pow.f64 m 4)) (.f64 2/3 (-.f64 (.f64 1/384 (pow.f64 m 4)) (*.f64 1/192 (pow.f64 m 4))))) (pow.f64 K 4))))
(fma.f64 -1/12 (.f64 (.f64 K K) (*.f64 m m)) 1)
(fma.f64 (.f64 (.f64 K m) (*.f64 K m)) -1/12 1)
(+.f64 (.f64 -1/12 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (+.f64 (.f64 (+.f64 (.f64 1/576 (pow.f64 m 4)) (.f64 2/3 (-.f64 (.f64 1/384 (pow.f64 m 4)) (.f64 1/192 (pow.f64 m 4))))) (pow.f64 K 4)) (.f64 (pow.f64 K 6) (+.f64 (.f64 2/3 (-.f64 (.f64 -1/46080 (pow.f64 m 6)) (+.f64 (.f64 -1/13824 (pow.f64 m 6)) (.f64 -1/12 (.f64 (-.f64 (.f64 1/384 (pow.f64 m 4)) (.f64 1/192 (pow.f64 m 4))) (pow.f64 m 2)))))) (.f64 -1/36 (.f64 (-.f64 (.f64 1/384 (pow.f64 m 4)) (*.f64 1/192 (pow.f64 m 4))) (pow.f64 m 2))))))))
(+.f64 (fma.f64 -1/12 (.f64 (.f64 K K) (.f64 m m)) 1) (fma.f64 (fma.f64 1/576 (pow.f64 m 4) (.f64 (.f64 (pow.f64 m 4) -1/384) 2/3)) (pow.f64 K 4) (.f64 (pow.f64 K 6) (fma.f64 2/3 (-.f64 (.f64 -1/46080 (pow.f64 m 6)) (fma.f64 -1/13824 (pow.f64 m 6) (.f64 (.f64 -1/12 (.f64 (pow.f64 m 4) -1/384)) (.f64 m m)))) (.f64 (.f64 (.f64 m m) (*.f64 (pow.f64 m 4) -1/384)) -1/36)))))
(+.f64 (fma.f64 (.f64 (.f64 K m) (.f64 K m)) -1/12 1) (fma.f64 (pow.f64 K 4) (fma.f64 (pow.f64 m 4) 1/576 (.f64 (pow.f64 m 4) -1/576)) (.f64 (pow.f64 K 6) (fma.f64 (-.f64 (.f64 (pow.f64 m 6) 7/138240) (.f64 (.f64 m m) (.f64 (.f64 (pow.f64 m 4) -1/384) -1/12))) 2/3 (.f64 (.f64 (pow.f64 m 4) -1/384) (.f64 (.f64 m m) -1/36))))))
(fma.f64 (.f64 K K) (.f64 m (.f64 m -1/12)) (fma.f64 (pow.f64 K 4) (.f64 (pow.f64 m 4) 0) (fma.f64 (pow.f64 K 6) (fma.f64 (-.f64 (.f64 (pow.f64 m 6) 7/138240) (.f64 (pow.f64 m 6) 1/4608)) 2/3 (*.f64 (pow.f64 m 6) 1/13824)) 1)))
(fma.f64 (.f64 K K) (.f64 m (.f64 m -1/12)) (fma.f64 (pow.f64 K 6) (fma.f64 (-.f64 (.f64 (pow.f64 m 6) 7/138240) (.f64 (pow.f64 m 6) 1/4608)) 2/3 (.f64 (pow.f64 m 6) 1/13824)) 1))
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2))
(cbrt.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 2))
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2))
(cbrt.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 2))
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2))
(cbrt.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 2))
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2))
(cbrt.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 2))
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2))
(cbrt.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 2))
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2))
(cbrt.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 2))
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2))
(cbrt.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 2))
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2))
(cbrt.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 2))
1
(+.f64 (.f64 -1/12 (.f64 (pow.f64 K 2) (pow.f64 m 2))) 1)
(fma.f64 -1/12 (.f64 (.f64 K K) (*.f64 m m)) 1)
(fma.f64 (.f64 (.f64 K m) (*.f64 K m)) -1/12 1)
(+.f64 (.f64 -1/12 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (.f64 (+.f64 (.f64 1/576 (pow.f64 K 4)) (.f64 2/3 (-.f64 (.f64 1/384 (pow.f64 K 4)) (*.f64 1/192 (pow.f64 K 4))))) (pow.f64 m 4))))
(fma.f64 -1/12 (.f64 (.f64 K K) (*.f64 m m)) 1)
(fma.f64 (.f64 (.f64 K m) (*.f64 K m)) -1/12 1)
(+.f64 (.f64 -1/12 (.f64 (pow.f64 K 2) (pow.f64 m 2))) (+.f64 1 (+.f64 (.f64 (pow.f64 m 6) (+.f64 (.f64 2/3 (-.f64 (.f64 -1/46080 (pow.f64 K 6)) (+.f64 (.f64 -1/13824 (pow.f64 K 6)) (.f64 -1/12 (.f64 (pow.f64 K 2) (-.f64 (.f64 1/384 (pow.f64 K 4)) (.f64 1/192 (pow.f64 K 4)))))))) (.f64 -1/36 (.f64 (pow.f64 K 2) (-.f64 (.f64 1/384 (pow.f64 K 4)) (.f64 1/192 (pow.f64 K 4))))))) (.f64 (+.f64 (.f64 1/576 (pow.f64 K 4)) (.f64 2/3 (-.f64 (.f64 1/384 (pow.f64 K 4)) (*.f64 1/192 (pow.f64 K 4))))) (pow.f64 m 4)))))
(+.f64 (fma.f64 -1/12 (.f64 (.f64 K K) (.f64 m m)) 1) (fma.f64 (pow.f64 m 6) (fma.f64 2/3 (-.f64 (.f64 (pow.f64 K 6) -1/46080) (fma.f64 -1/13824 (pow.f64 K 6) (.f64 -1/12 (.f64 (.f64 K K) (.f64 (pow.f64 K 4) -1/384))))) (.f64 (.f64 -1/36 (.f64 K K)) (.f64 (pow.f64 K 4) -1/384))) (.f64 (pow.f64 m 4) (fma.f64 1/576 (pow.f64 K 4) (.f64 (*.f64 (pow.f64 K 4) -1/384) 2/3)))))
(+.f64 (fma.f64 (.f64 (.f64 K m) (.f64 K m)) -1/12 1) (fma.f64 (pow.f64 m 4) (fma.f64 (pow.f64 K 4) 1/576 (.f64 (pow.f64 K 4) -1/576)) (.f64 (pow.f64 m 6) (fma.f64 (.f64 (.f64 K K) (.f64 (pow.f64 K 4) -1/384)) -1/36 (.f64 (+.f64 (.f64 (pow.f64 K 6) 7/138240) (.f64 1/12 (.f64 (.f64 K K) (.f64 (pow.f64 K 4) -1/384)))) 2/3)))))
(fma.f64 (.f64 K K) (.f64 m (.f64 m -1/12)) (fma.f64 (pow.f64 m 4) (.f64 (pow.f64 K 4) 0) (fma.f64 (pow.f64 m 6) (fma.f64 (-.f64 (.f64 (pow.f64 K 6) 7/138240) (.f64 (pow.f64 K 6) 1/4608)) 2/3 (*.f64 (pow.f64 K 6) 1/13824)) 1)))
(fma.f64 (.f64 K K) (.f64 m (.f64 m -1/12)) (fma.f64 (pow.f64 m 6) (fma.f64 (-.f64 (.f64 (pow.f64 K 6) 7/138240) (.f64 (pow.f64 K 6) 1/4608)) 2/3 (.f64 (pow.f64 K 6) 1/13824)) 1))
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2))
(cbrt.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 2))
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2))
(cbrt.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 2))
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2))
(cbrt.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 2))
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2))
(cbrt.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 2))
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2))
(cbrt.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 2))
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2))
(cbrt.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 2))
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2))
(cbrt.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 2))
(pow.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 (.f64 1/2 (.f64 K m))) 2))
(cbrt.f64 (pow.f64 (cos.f64 (.f64 K (.f64 m 1/2))) 2))

localize5.0ms (0%)

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

localize20.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	30.4b	(cos.f64 (.f64 K (.f64 m 1/2)))

Compiler

Compiled 38 to 22 computations (42.1% saved)

localize48.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))
	0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
✓	11.8b	(fma.f64 (.f64 K K) (.f64 m (*.f64 m -1/8)) 1)
✓	18.2b	(.f64 (fma.f64 (.f64 K K) (.f64 m (.f64 m -1/8)) 1) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))

Compiler

Compiled 145 to 68 computations (53.1% saved)

series36.0ms (0.2%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
16.0ms	n	@	0	(.f64 (fma.f64 (.f64 K K) (.f64 m (.f64 m -1/8)) 1) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
2.0ms	m	@	-inf	(.f64 (fma.f64 (.f64 K K) (.f64 m (.f64 m -1/8)) 1) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
1.0ms	M	@	0	(.f64 (fma.f64 (.f64 K K) (.f64 m (.f64 m -1/8)) 1) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
1.0ms	K	@	0	(.f64 (fma.f64 (.f64 K K) (.f64 m (.f64 m -1/8)) 1) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
1.0ms	m	@	0	(.f64 (fma.f64 (.f64 K K) (.f64 m (.f64 m -1/8)) 1) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))

rewrite86.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

438×	`log1p-udef_binary64`
276×	`add-sqr-sqrt_binary64`
268×	`pow1_binary64`
267×	`*-un-lft-identity_binary64`
257×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	58
1	535	54
2	7593	54

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

Inputs

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

(fma.f64 (*.f64 K K) (*.f64 m (*.f64 m -1/8)) 1)

Outputs

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

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

simplify98.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

741×	`distribute-rgt-in_binary64`
732×	`distribute-lft-in_binary64`
358×	`associate-+l+_binary64`
315×	`associate-*l/_binary64`
289×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	184	4907
1	620	3666
2	2276	3424

Stop Event

1×	node limit

Counts

126 → 93

Calls

Call 1

Inputs
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (pow.f64 m 2)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (pow.f64 m 2)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (pow.f64 m 2)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (pow.f64 m 2))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (pow.f64 m 2)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (pow.f64 m 2)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (pow.f64 m 2)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (pow.f64 m 2))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (pow.f64 m 2)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (pow.f64 m 2)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (pow.f64 m 2)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 n) M) 2))))
(+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))) (.f64 (-.f64 M (.f64 1/2 n)) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 n) M) 2)))) m)))
(+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))) (+.f64 (.f64 (-.f64 M (.f64 1/2 n)) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))) m)) (.f64 (+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.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 -1/8 (.f64 (pow.f64 K 2) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 n) M) 2))))))) (pow.f64 m 2))))
(+.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))) (+.f64 (.f64 (-.f64 M (.f64 1/2 n)) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))) m)) (+.f64 (.f64 (+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.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 -1/8 (.f64 (pow.f64 K 2) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 n) M) 2))))))) (pow.f64 m 2)) (.f64 (+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))) (+.f64 (.f64 -1/4 (-.f64 M (.f64 1/2 n))) (.f64 1/6 (pow.f64 (-.f64 M (.f64 1/2 n)) 3)))) (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (-.f64 M (.f64 1/2 n)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 n) M) 2)))))))) (pow.f64 m 3)))))
(.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (pow.f64 m 2))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (pow.f64 m 2)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (pow.f64 m 2)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (pow.f64 m 2)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 -1/8 (.f64 (exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m)))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (-.f64 n (.f64 -1 m))) M) 2) l))) (.f64 (pow.f64 K 2) (pow.f64 m 2))))
(+.f64 (exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m)))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (-.f64 n (.f64 -1 m))) M) 2) l))) (.f64 -1/8 (.f64 (exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m)))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (-.f64 n (.f64 -1 m))) M) 2) l))) (*.f64 (pow.f64 K 2) (pow.f64 m 2)))))
(+.f64 (exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m)))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (-.f64 n (.f64 -1 m))) M) 2) l))) (.f64 -1/8 (.f64 (exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m)))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (-.f64 n (.f64 -1 m))) M) 2) l))) (*.f64 (pow.f64 K 2) (pow.f64 m 2)))))
(+.f64 (exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m)))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (-.f64 n (.f64 -1 m))) M) 2) l))) (.f64 -1/8 (.f64 (exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m)))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (-.f64 n (.f64 -1 m))) M) 2) l))) (*.f64 (pow.f64 K 2) (pow.f64 m 2)))))
(.f64 (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l))))
(+.f64 (.f64 (-.f64 M (.f64 1/2 m)) (.f64 n (.f64 (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l)))))) (.f64 (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 m) M) 2) l)))))
(+.f64 (.f64 (pow.f64 n 2) (.f64 (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (.f64 (-.f64 (.f64 1/2 (pow.f64 (-.f64 M (.f64 1/2 m)) 2)) 1/4) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l)))))) (+.f64 (.f64 (-.f64 M (.f64 1/2 m)) (.f64 n (.f64 (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l)))))) (.f64 (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 m) M) 2) l))))))
(+.f64 (.f64 (pow.f64 n 2) (.f64 (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (.f64 (-.f64 (.f64 1/2 (pow.f64 (-.f64 M (.f64 1/2 m)) 2)) 1/4) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l)))))) (+.f64 (.f64 (-.f64 M (.f64 1/2 m)) (.f64 n (.f64 (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l)))))) (+.f64 (.f64 (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l)))) (.f64 (pow.f64 n 3) (.f64 (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (.f64 (+.f64 (.f64 -1/4 (-.f64 M (.f64 1/2 m))) (.f64 1/6 (pow.f64 (-.f64 M (.f64 1/2 m)) 3))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 m) M) 2) l)))))))))
(.f64 (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (exp.f64 (-.f64 (fabs.f64 (+.f64 (.f64 -1 n) m)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (-.f64 m (.f64 -1 n))) M) 2) l))))
(.f64 (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (exp.f64 (-.f64 (fabs.f64 (+.f64 (.f64 -1 n) m)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (-.f64 m (.f64 -1 n))) M) 2) l))))
(.f64 (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (exp.f64 (-.f64 (fabs.f64 (+.f64 (.f64 -1 n) m)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (-.f64 m (.f64 -1 n))) M) 2) l))))
(.f64 (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (exp.f64 (-.f64 (fabs.f64 (+.f64 (.f64 -1 n) m)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (-.f64 m (.f64 -1 n))) M) 2) l))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2))))) (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))))
(+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2))))) (.f64 (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (.f64 (+.f64 n m) M))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2))))) (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))))))
(+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2))))) (.f64 (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (.f64 (+.f64 n m) M))) (+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2))))) (.f64 (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (.f64 (-.f64 (.f64 1/2 (pow.f64 (+.f64 n m) 2)) 1) (pow.f64 M 2)))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2))))) (+.f64 1 (.f64 -1/8 (*.f64 (pow.f64 K 2) (pow.f64 m 2)))))))
(+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2))))) (.f64 (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (.f64 (+.f64 (.f64 1/6 (pow.f64 (+.f64 n m) 3)) (.f64 -1 (+.f64 n m))) (pow.f64 M 3)))) (+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2))))) (.f64 (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (.f64 (+.f64 n m) M))) (+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2))))) (.f64 (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (.f64 (-.f64 (.f64 1/2 (pow.f64 (+.f64 n m) 2)) 1) (pow.f64 M 2)))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 n m) 2))))) (+.f64 1 (.f64 -1/8 (*.f64 (pow.f64 K 2) (pow.f64 m 2))))))))
(.f64 (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (+.f64 (.f64 1/2 (+.f64 n m)) (*.f64 -1 M)) 2) l))))
(.f64 (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (+.f64 (.f64 1/2 (+.f64 n m)) (*.f64 -1 M)) 2) l))))
(.f64 (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (+.f64 (.f64 1/2 (+.f64 n m)) (*.f64 -1 M)) 2) l))))
(.f64 (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (+.f64 (.f64 1/2 (+.f64 n m)) (*.f64 -1 M)) 2) l))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))))
(+.f64 (.f64 -1 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (.f64 l (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))))))
(+.f64 (.f64 1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (.f64 (pow.f64 l 2) (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))))))) (+.f64 (.f64 -1 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (.f64 l (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))))))
(+.f64 (.f64 1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (.f64 (pow.f64 l 2) (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))))))) (+.f64 (.f64 -1 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (.f64 l (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))))))) (+.f64 (.f64 -1/6 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (.f64 (pow.f64 l 3) (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))))))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))))
(.f64 (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))
(.f64 (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))
1
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) 1)
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) 1)
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) 1)
(.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))
(+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))))
(+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))))
(+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))))
(.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))
(+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))))
(+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))))
(+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))))
1
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) 1)
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) 1)
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) 1)
(.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))
(+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))))
(+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))))
(+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))))
(.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))
(+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))))
(+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))))
(+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))))

Outputs
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2))))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (pow.f64 m 2)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)))))
(fma.f64 -1/8 (.f64 (.f64 K K) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 m m))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (fma.f64 -1/8 (.f64 (.f64 K K) (*.f64 m m)) 1))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (fma.f64 (.f64 -1/8 (.f64 K K)) (*.f64 m m) 1))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (pow.f64 m 2)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)))))
(fma.f64 -1/8 (.f64 (.f64 K K) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 m m))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (fma.f64 -1/8 (.f64 (.f64 K K) (*.f64 m m)) 1))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (fma.f64 (.f64 -1/8 (.f64 K K)) (*.f64 m m) 1))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (pow.f64 m 2)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)))))
(fma.f64 -1/8 (.f64 (.f64 K K) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 m m))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (fma.f64 -1/8 (.f64 (.f64 K K) (*.f64 m m)) 1))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (fma.f64 (.f64 -1/8 (.f64 K K)) (*.f64 m m) 1))
(.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (pow.f64 m 2))))
(.f64 -1/8 (.f64 (.f64 K K) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 m m))))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (.f64 -1/8 (.f64 (.f64 K K) (.f64 m m))))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (.f64 (.f64 (.f64 -1/8 (.f64 K K)) m) m))
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(fma.f64 -1/8 (.f64 (.f64 K K) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 m m))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))))
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(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (-.f64 (fma.f64 (.f64 -1/8 (.f64 K K)) (.f64 m m) 1) (.f64 l (fma.f64 (.f64 -1/8 (.f64 K K)) (*.f64 m m) 1))))
(+.f64 (.f64 1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (.f64 (pow.f64 l 2) (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))))))) (+.f64 (.f64 -1 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (.f64 l (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))))))
(fma.f64 1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (.f64 (fma.f64 -1/8 (.f64 (.f64 K K) (.f64 m m)) 1) (.f64 l l))) (fma.f64 -1 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (.f64 l (fma.f64 -1/8 (.f64 (.f64 K K) (.f64 m m)) 1))) (.f64 (fma.f64 -1/8 (.f64 (.f64 K K) (.f64 m m)) 1) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))))))
(fma.f64 1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (.f64 l (.f64 l (fma.f64 -1/8 (.f64 (.f64 K K) (.f64 m m)) 1)))) (-.f64 (.f64 (fma.f64 -1/8 (.f64 (.f64 K K) (.f64 m m)) 1) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 l (.f64 (fma.f64 -1/8 (.f64 (.f64 K K) (.f64 m m)) 1) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))))))
(fma.f64 1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (.f64 (fma.f64 (.f64 -1/8 (.f64 K K)) (.f64 m m) 1) (.f64 l l))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (-.f64 (fma.f64 (.f64 -1/8 (.f64 K K)) (.f64 m m) 1) (.f64 l (fma.f64 (.f64 -1/8 (.f64 K K)) (.f64 m m) 1)))))
(+.f64 (.f64 1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (.f64 (pow.f64 l 2) (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))))))) (+.f64 (.f64 -1 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (.f64 l (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))))))) (+.f64 (.f64 -1/6 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (.f64 (pow.f64 l 3) (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))))))))
(fma.f64 1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (.f64 (fma.f64 -1/8 (.f64 (.f64 K K) (.f64 m m)) 1) (.f64 l l))) (fma.f64 -1 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (.f64 l (fma.f64 -1/8 (.f64 (.f64 K K) (.f64 m m)) 1))) (fma.f64 -1/6 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (.f64 (fma.f64 -1/8 (.f64 (.f64 K K) (.f64 m m)) 1) (pow.f64 l 3))) (.f64 (fma.f64 -1/8 (.f64 (.f64 K K) (.f64 m m)) 1) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))))))
(fma.f64 1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (.f64 l (.f64 l (fma.f64 -1/8 (.f64 (.f64 K K) (.f64 m m)) 1)))) (-.f64 (fma.f64 (fma.f64 -1/8 (.f64 (.f64 K K) (.f64 m m)) 1) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (.f64 (.f64 (fma.f64 -1/8 (.f64 (.f64 K K) (.f64 m m)) 1) (pow.f64 l 3)) -1/6))) (.f64 l (.f64 (fma.f64 -1/8 (.f64 (.f64 K K) (.f64 m m)) 1) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))))))
(+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (+.f64 (fma.f64 (.f64 -1/8 (.f64 K K)) (.f64 m m) 1) (.f64 -1/6 (.f64 (fma.f64 (.f64 -1/8 (.f64 K K)) (.f64 m m) 1) (pow.f64 l 3))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (-.f64 (.f64 1/2 (.f64 (fma.f64 (.f64 -1/8 (.f64 K K)) (.f64 m m) 1) (.f64 l l))) (.f64 l (fma.f64 (.f64 -1/8 (.f64 K K)) (.f64 m m) 1)))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))))
(fma.f64 -1/8 (.f64 (.f64 K K) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 m m))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (fma.f64 -1/8 (.f64 (.f64 K K) (*.f64 m m)) 1))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (fma.f64 (.f64 -1/8 (.f64 K K)) (*.f64 m m) 1))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))))
(fma.f64 -1/8 (.f64 (.f64 K K) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 m m))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (fma.f64 -1/8 (.f64 (.f64 K K) (*.f64 m m)) 1))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (fma.f64 (.f64 -1/8 (.f64 K K)) (*.f64 m m) 1))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))))
(fma.f64 -1/8 (.f64 (.f64 K K) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 m m))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (fma.f64 -1/8 (.f64 (.f64 K K) (*.f64 m m)) 1))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (fma.f64 (.f64 -1/8 (.f64 K K)) (*.f64 m m) 1))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))))
(fma.f64 -1/8 (.f64 (.f64 K K) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 m m))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (fma.f64 -1/8 (.f64 (.f64 K K) (*.f64 m m)) 1))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (fma.f64 (.f64 -1/8 (.f64 K K)) (*.f64 m m) 1))
(.f64 (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))
(fma.f64 -1/8 (.f64 (.f64 K K) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 m m))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (fma.f64 -1/8 (.f64 (.f64 K K) (*.f64 m m)) 1))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (fma.f64 (.f64 -1/8 (.f64 K K)) (*.f64 m m) 1))
(.f64 (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))
(fma.f64 -1/8 (.f64 (.f64 K K) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 m m))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (fma.f64 -1/8 (.f64 (.f64 K K) (*.f64 m m)) 1))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (fma.f64 (.f64 -1/8 (.f64 K K)) (*.f64 m m) 1))
(.f64 (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))
(fma.f64 -1/8 (.f64 (.f64 K K) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 m m))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (fma.f64 -1/8 (.f64 (.f64 K K) (*.f64 m m)) 1))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (fma.f64 (.f64 -1/8 (.f64 K K)) (*.f64 m m) 1))
(.f64 (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))
(fma.f64 -1/8 (.f64 (.f64 K K) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 m m))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (fma.f64 -1/8 (.f64 (.f64 K K) (*.f64 m m)) 1))
(.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (fma.f64 (.f64 -1/8 (.f64 K K)) (*.f64 m m) 1))
1
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) 1)
(fma.f64 -1/8 (.f64 (.f64 K K) (*.f64 m m)) 1)
(fma.f64 (.f64 -1/8 (.f64 K K)) (*.f64 m m) 1)
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) 1)
(fma.f64 -1/8 (.f64 (.f64 K K) (*.f64 m m)) 1)
(fma.f64 (.f64 -1/8 (.f64 K K)) (*.f64 m m) 1)
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) 1)
(fma.f64 -1/8 (.f64 (.f64 K K) (*.f64 m m)) 1)
(fma.f64 (.f64 -1/8 (.f64 K K)) (*.f64 m m) 1)
(.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))
(.f64 -1/8 (.f64 (.f64 K K) (.f64 m m)))
(.f64 (.f64 (.f64 -1/8 (.f64 K K)) m) m)
(+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))))
(fma.f64 -1/8 (.f64 (.f64 K K) (*.f64 m m)) 1)
(fma.f64 (.f64 -1/8 (.f64 K K)) (*.f64 m m) 1)
(+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))))
(fma.f64 -1/8 (.f64 (.f64 K K) (*.f64 m m)) 1)
(fma.f64 (.f64 -1/8 (.f64 K K)) (*.f64 m m) 1)
(+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))))
(fma.f64 -1/8 (.f64 (.f64 K K) (*.f64 m m)) 1)
(fma.f64 (.f64 -1/8 (.f64 K K)) (*.f64 m m) 1)
(.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))
(.f64 -1/8 (.f64 (.f64 K K) (.f64 m m)))
(.f64 (.f64 (.f64 -1/8 (.f64 K K)) m) m)
(+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))))
(fma.f64 -1/8 (.f64 (.f64 K K) (*.f64 m m)) 1)
(fma.f64 (.f64 -1/8 (.f64 K K)) (*.f64 m m) 1)
(+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))))
(fma.f64 -1/8 (.f64 (.f64 K K) (*.f64 m m)) 1)
(fma.f64 (.f64 -1/8 (.f64 K K)) (*.f64 m m) 1)
(+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))))
(fma.f64 -1/8 (.f64 (.f64 K K) (*.f64 m m)) 1)
(fma.f64 (.f64 -1/8 (.f64 K K)) (*.f64 m m) 1)
1
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) 1)
(fma.f64 -1/8 (.f64 (.f64 K K) (*.f64 m m)) 1)
(fma.f64 (.f64 -1/8 (.f64 K K)) (*.f64 m m) 1)
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) 1)
(fma.f64 -1/8 (.f64 (.f64 K K) (*.f64 m m)) 1)
(fma.f64 (.f64 -1/8 (.f64 K K)) (*.f64 m m) 1)
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))) 1)
(fma.f64 -1/8 (.f64 (.f64 K K) (*.f64 m m)) 1)
(fma.f64 (.f64 -1/8 (.f64 K K)) (*.f64 m m) 1)
(.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))
(.f64 -1/8 (.f64 (.f64 K K) (.f64 m m)))
(.f64 (.f64 (.f64 -1/8 (.f64 K K)) m) m)
(+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))))
(fma.f64 -1/8 (.f64 (.f64 K K) (*.f64 m m)) 1)
(fma.f64 (.f64 -1/8 (.f64 K K)) (*.f64 m m) 1)
(+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))))
(fma.f64 -1/8 (.f64 (.f64 K K) (*.f64 m m)) 1)
(fma.f64 (.f64 -1/8 (.f64 K K)) (*.f64 m m) 1)
(+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))))
(fma.f64 -1/8 (.f64 (.f64 K K) (*.f64 m m)) 1)
(fma.f64 (.f64 -1/8 (.f64 K K)) (*.f64 m m) 1)
(.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))
(.f64 -1/8 (.f64 (.f64 K K) (.f64 m m)))
(.f64 (.f64 (.f64 -1/8 (.f64 K K)) m) m)
(+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))))
(fma.f64 -1/8 (.f64 (.f64 K K) (*.f64 m m)) 1)
(fma.f64 (.f64 -1/8 (.f64 K K)) (*.f64 m m) 1)
(+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))))
(fma.f64 -1/8 (.f64 (.f64 K K) (*.f64 m m)) 1)
(fma.f64 (.f64 -1/8 (.f64 K K)) (*.f64 m m) 1)
(+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))))
(fma.f64 -1/8 (.f64 (.f64 K K) (*.f64 m m)) 1)
(fma.f64 (.f64 -1/8 (.f64 K K)) (*.f64 m m) 1)

localize117.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
	0.4b	(cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2))))
✓	0.4b	(pow.f64 (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))) 3)
	30.4b	(cos.f64 (.f64 K (.f64 m 1/2)))

Compiler

Compiled 153 to 80 computations (47.7% saved)

series11.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite73.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

820×	`pow1_binary64`
765×	`add-log-exp_binary64`
764×	`log1p-expm1-u_binary64`
764×	`expm1-log1p-u_binary64`
747×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	9
1	208	9
2	2127	9

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify59.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

654×	`fma-def_binary64`
649×	`cancel-sign-sub-inv_binary64`
643×	`associate-l_binary64`
618×	`associate-r_binary64`
356×	`associate-+r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	101	686
1	297	568
2	1102	382
3	7031	358

Stop Event

1×	node limit

Counts

44 → 33

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 (+.f64 (.f64 -1/12 (pow.f64 m 2)) (*.f64 -1/24 (pow.f64 m 2))) (pow.f64 K 2)))
(+.f64 1 (+.f64 (.f64 (pow.f64 K 4) (+.f64 (.f64 1/576 (pow.f64 m 4)) (+.f64 (.f64 1/3 (-.f64 (.f64 1/384 (pow.f64 m 4)) (.f64 1/192 (pow.f64 m 4)))) (+.f64 (.f64 2/3 (-.f64 (.f64 1/384 (pow.f64 m 4)) (.f64 1/192 (pow.f64 m 4)))) (.f64 1/288 (pow.f64 m 4)))))) (.f64 (+.f64 (.f64 -1/12 (pow.f64 m 2)) (.f64 -1/24 (pow.f64 m 2))) (pow.f64 K 2))))
(+.f64 (.f64 (+.f64 (.f64 -1/18 (.f64 (-.f64 (.f64 1/384 (pow.f64 m 4)) (.f64 1/192 (pow.f64 m 4))) (pow.f64 m 2))) (+.f64 (.f64 1/3 (-.f64 (.f64 -1/46080 (pow.f64 m 6)) (+.f64 (.f64 -1/13824 (pow.f64 m 6)) (.f64 -1/12 (.f64 (-.f64 (.f64 1/384 (pow.f64 m 4)) (.f64 1/192 (pow.f64 m 4))) (pow.f64 m 2)))))) (+.f64 (.f64 -1/24 (.f64 (+.f64 (.f64 1/576 (pow.f64 m 4)) (.f64 2/3 (-.f64 (.f64 1/384 (pow.f64 m 4)) (.f64 1/192 (pow.f64 m 4))))) (pow.f64 m 2))) (.f64 2/3 (-.f64 (.f64 -1/46080 (pow.f64 m 6)) (+.f64 (.f64 -1/13824 (pow.f64 m 6)) (.f64 -1/12 (.f64 (-.f64 (.f64 1/384 (pow.f64 m 4)) (.f64 1/192 (pow.f64 m 4))) (pow.f64 m 2))))))))) (pow.f64 K 6)) (+.f64 1 (+.f64 (.f64 (pow.f64 K 4) (+.f64 (.f64 1/576 (pow.f64 m 4)) (+.f64 (.f64 1/3 (-.f64 (.f64 1/384 (pow.f64 m 4)) (.f64 1/192 (pow.f64 m 4)))) (+.f64 (.f64 2/3 (-.f64 (.f64 1/384 (pow.f64 m 4)) (.f64 1/192 (pow.f64 m 4)))) (.f64 1/288 (pow.f64 m 4)))))) (.f64 (+.f64 (.f64 -1/12 (pow.f64 m 2)) (*.f64 -1/24 (pow.f64 m 2))) (pow.f64 K 2)))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (*.f64 K m))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (*.f64 K m))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (*.f64 K m))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (*.f64 K m))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (*.f64 K m))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (*.f64 K m))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (*.f64 K m))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (*.f64 K m))))
1
(+.f64 1 (.f64 (+.f64 (.f64 -1/12 (pow.f64 K 2)) (*.f64 -1/24 (pow.f64 K 2))) (pow.f64 m 2)))
(+.f64 1 (+.f64 (.f64 (+.f64 (.f64 1/576 (pow.f64 K 4)) (+.f64 (.f64 1/3 (-.f64 (.f64 1/384 (pow.f64 K 4)) (.f64 1/192 (pow.f64 K 4)))) (+.f64 (.f64 2/3 (-.f64 (.f64 1/384 (pow.f64 K 4)) (.f64 1/192 (pow.f64 K 4)))) (.f64 1/288 (pow.f64 K 4))))) (pow.f64 m 4)) (.f64 (+.f64 (.f64 -1/12 (pow.f64 K 2)) (.f64 -1/24 (pow.f64 K 2))) (pow.f64 m 2))))
(+.f64 1 (+.f64 (.f64 (+.f64 (.f64 2/3 (-.f64 (.f64 -1/46080 (pow.f64 K 6)) (+.f64 (.f64 -1/13824 (pow.f64 K 6)) (.f64 -1/12 (.f64 (pow.f64 K 2) (-.f64 (.f64 1/384 (pow.f64 K 4)) (.f64 1/192 (pow.f64 K 4)))))))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 K 2) (-.f64 (.f64 1/384 (pow.f64 K 4)) (.f64 1/192 (pow.f64 K 4))))) (+.f64 (.f64 -1/24 (.f64 (pow.f64 K 2) (+.f64 (.f64 1/576 (pow.f64 K 4)) (.f64 2/3 (-.f64 (.f64 1/384 (pow.f64 K 4)) (.f64 1/192 (pow.f64 K 4))))))) (.f64 1/3 (-.f64 (.f64 -1/46080 (pow.f64 K 6)) (+.f64 (.f64 -1/13824 (pow.f64 K 6)) (.f64 -1/12 (.f64 (pow.f64 K 2) (-.f64 (.f64 1/384 (pow.f64 K 4)) (.f64 1/192 (pow.f64 K 4))))))))))) (pow.f64 m 6)) (+.f64 (.f64 (+.f64 (.f64 1/576 (pow.f64 K 4)) (+.f64 (.f64 1/3 (-.f64 (.f64 1/384 (pow.f64 K 4)) (.f64 1/192 (pow.f64 K 4)))) (+.f64 (.f64 2/3 (-.f64 (.f64 1/384 (pow.f64 K 4)) (.f64 1/192 (pow.f64 K 4)))) (.f64 1/288 (pow.f64 K 4))))) (pow.f64 m 4)) (.f64 (+.f64 (.f64 -1/12 (pow.f64 K 2)) (*.f64 -1/24 (pow.f64 K 2))) (pow.f64 m 2)))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (*.f64 K m))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (*.f64 K m))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (*.f64 K m))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (*.f64 K m))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (*.f64 K m))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (*.f64 K m))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (*.f64 K m))))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (*.f64 K m))))

Outputs
1
(+.f64 1 (.f64 (+.f64 (.f64 -1/12 (pow.f64 m 2)) (*.f64 -1/24 (pow.f64 m 2))) (pow.f64 K 2)))
(+.f64 1 (.f64 (.f64 (.f64 m m) -1/8) (.f64 K K)))
(fma.f64 (.f64 m m) (.f64 (*.f64 K K) -1/8) 1)
(fma.f64 m (.f64 m (.f64 (*.f64 K K) -1/8)) 1)
(+.f64 1 (+.f64 (.f64 (pow.f64 K 4) (+.f64 (.f64 1/576 (pow.f64 m 4)) (+.f64 (.f64 1/3 (-.f64 (.f64 1/384 (pow.f64 m 4)) (.f64 1/192 (pow.f64 m 4)))) (+.f64 (.f64 2/3 (-.f64 (.f64 1/384 (pow.f64 m 4)) (.f64 1/192 (pow.f64 m 4)))) (.f64 1/288 (pow.f64 m 4)))))) (.f64 (+.f64 (.f64 -1/12 (pow.f64 m 2)) (.f64 -1/24 (pow.f64 m 2))) (pow.f64 K 2))))
(+.f64 1 (fma.f64 (pow.f64 K 4) (fma.f64 1/576 (pow.f64 m 4) (fma.f64 1/3 (.f64 (pow.f64 m 4) -1/384) (fma.f64 2/3 (.f64 (pow.f64 m 4) -1/384) (.f64 (pow.f64 m 4) 1/288)))) (.f64 (.f64 (.f64 m m) -1/8) (*.f64 K K))))
(+.f64 1 (fma.f64 (pow.f64 K 4) (fma.f64 1/576 (pow.f64 m 4) (+.f64 (.f64 (pow.f64 m 4) 1/288) (.f64 (.f64 (pow.f64 m 4) -1/384) 1))) (.f64 m (.f64 m (.f64 (*.f64 K K) -1/8)))))
(fma.f64 m (.f64 m (.f64 (.f64 K K) -1/8)) (fma.f64 (pow.f64 K 4) (.f64 (pow.f64 m 4) 1/384) 1))
(+.f64 (.f64 (+.f64 (.f64 -1/18 (.f64 (-.f64 (.f64 1/384 (pow.f64 m 4)) (.f64 1/192 (pow.f64 m 4))) (pow.f64 m 2))) (+.f64 (.f64 1/3 (-.f64 (.f64 -1/46080 (pow.f64 m 6)) (+.f64 (.f64 -1/13824 (pow.f64 m 6)) (.f64 -1/12 (.f64 (-.f64 (.f64 1/384 (pow.f64 m 4)) (.f64 1/192 (pow.f64 m 4))) (pow.f64 m 2)))))) (+.f64 (.f64 -1/24 (.f64 (+.f64 (.f64 1/576 (pow.f64 m 4)) (.f64 2/3 (-.f64 (.f64 1/384 (pow.f64 m 4)) (.f64 1/192 (pow.f64 m 4))))) (pow.f64 m 2))) (.f64 2/3 (-.f64 (.f64 -1/46080 (pow.f64 m 6)) (+.f64 (.f64 -1/13824 (pow.f64 m 6)) (.f64 -1/12 (.f64 (-.f64 (.f64 1/384 (pow.f64 m 4)) (.f64 1/192 (pow.f64 m 4))) (pow.f64 m 2))))))))) (pow.f64 K 6)) (+.f64 1 (+.f64 (.f64 (pow.f64 K 4) (+.f64 (.f64 1/576 (pow.f64 m 4)) (+.f64 (.f64 1/3 (-.f64 (.f64 1/384 (pow.f64 m 4)) (.f64 1/192 (pow.f64 m 4)))) (+.f64 (.f64 2/3 (-.f64 (.f64 1/384 (pow.f64 m 4)) (.f64 1/192 (pow.f64 m 4)))) (.f64 1/288 (pow.f64 m 4)))))) (.f64 (+.f64 (.f64 -1/12 (pow.f64 m 2)) (*.f64 -1/24 (pow.f64 m 2))) (pow.f64 K 2)))))
(fma.f64 (fma.f64 -1/18 (.f64 (.f64 m m) (.f64 (pow.f64 m 4) -1/384)) (fma.f64 1/3 (-.f64 (.f64 -1/46080 (pow.f64 m 6)) (fma.f64 -1/13824 (pow.f64 m 6) (.f64 (.f64 -1/12 (.f64 (pow.f64 m 4) -1/384)) (.f64 m m)))) (fma.f64 -1/24 (.f64 (.f64 m m) (fma.f64 1/576 (pow.f64 m 4) (.f64 (.f64 (pow.f64 m 4) -1/384) 2/3))) (.f64 2/3 (-.f64 (.f64 -1/46080 (pow.f64 m 6)) (fma.f64 -1/13824 (pow.f64 m 6) (.f64 (.f64 -1/12 (.f64 (pow.f64 m 4) -1/384)) (.f64 m m)))))))) (pow.f64 K 6) (+.f64 1 (fma.f64 (pow.f64 K 4) (fma.f64 1/576 (pow.f64 m 4) (fma.f64 1/3 (.f64 (pow.f64 m 4) -1/384) (fma.f64 2/3 (.f64 (pow.f64 m 4) -1/384) (.f64 (pow.f64 m 4) 1/288)))) (.f64 (.f64 (.f64 m m) -1/8) (*.f64 K K)))))
(+.f64 (fma.f64 (pow.f64 K 4) (fma.f64 1/576 (pow.f64 m 4) (+.f64 (.f64 (pow.f64 m 4) 1/288) (.f64 (.f64 (pow.f64 m 4) -1/384) 1))) (.f64 m (.f64 m (.f64 (.f64 K K) -1/8)))) (fma.f64 (fma.f64 -1/18 (.f64 (.f64 m m) (.f64 (pow.f64 m 4) -1/384)) (fma.f64 1/3 (-.f64 (.f64 (pow.f64 m 6) 7/138240) (.f64 -1/12 (.f64 (.f64 m m) (.f64 (pow.f64 m 4) -1/384)))) (fma.f64 -1/24 (.f64 m (.f64 m (fma.f64 1/576 (pow.f64 m 4) (.f64 (pow.f64 m 4) -1/576)))) (.f64 2/3 (-.f64 (.f64 (pow.f64 m 6) 7/138240) (.f64 -1/12 (.f64 (.f64 m m) (.f64 (pow.f64 m 4) -1/384)))))))) (pow.f64 K 6) 1))
(fma.f64 (+.f64 (.f64 (pow.f64 m 6) 1/6912) (fma.f64 (.f64 m m) (.f64 -1/24 (.f64 (pow.f64 m 4) 0)) (.f64 (-.f64 (.f64 (pow.f64 m 6) 7/138240) (.f64 (pow.f64 m 6) 1/4608)) 1))) (pow.f64 K 6) (fma.f64 m (.f64 m (.f64 (.f64 K K) -1/8)) (fma.f64 (pow.f64 K 4) (*.f64 (pow.f64 m 4) 1/384) 1)))
(fma.f64 (+.f64 (.f64 (pow.f64 m 6) 1/6912) (fma.f64 (.f64 m m) 0 (-.f64 (.f64 (pow.f64 m 6) 7/138240) (.f64 (pow.f64 m 6) 1/4608)))) (pow.f64 K 6) (fma.f64 m (.f64 m (.f64 (.f64 K K) -1/8)) (fma.f64 (pow.f64 K 4) (.f64 (pow.f64 m 4) 1/384) 1)))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (*.f64 K m))))
(.f64 1 (cos.f64 (.f64 1/2 (*.f64 m K))))
(cos.f64 (.f64 m (.f64 K 1/2)))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (*.f64 K m))))
(.f64 1 (cos.f64 (.f64 1/2 (*.f64 m K))))
(cos.f64 (.f64 m (.f64 K 1/2)))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (*.f64 K m))))
(.f64 1 (cos.f64 (.f64 1/2 (*.f64 m K))))
(cos.f64 (.f64 m (.f64 K 1/2)))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (*.f64 K m))))
(.f64 1 (cos.f64 (.f64 1/2 (*.f64 m K))))
(cos.f64 (.f64 m (.f64 K 1/2)))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (*.f64 K m))))
(.f64 1 (cos.f64 (.f64 1/2 (*.f64 m K))))
(cos.f64 (.f64 m (.f64 K 1/2)))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (*.f64 K m))))
(.f64 1 (cos.f64 (.f64 1/2 (*.f64 m K))))
(cos.f64 (.f64 m (.f64 K 1/2)))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (*.f64 K m))))
(.f64 1 (cos.f64 (.f64 1/2 (*.f64 m K))))
(cos.f64 (.f64 m (.f64 K 1/2)))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (*.f64 K m))))
(.f64 1 (cos.f64 (.f64 1/2 (*.f64 m K))))
(cos.f64 (.f64 m (.f64 K 1/2)))
1
(+.f64 1 (.f64 (+.f64 (.f64 -1/12 (pow.f64 K 2)) (*.f64 -1/24 (pow.f64 K 2))) (pow.f64 m 2)))
(+.f64 1 (.f64 (.f64 (.f64 m m) -1/8) (.f64 K K)))
(fma.f64 (.f64 m m) (.f64 (*.f64 K K) -1/8) 1)
(fma.f64 m (.f64 m (.f64 (*.f64 K K) -1/8)) 1)
(+.f64 1 (+.f64 (.f64 (+.f64 (.f64 1/576 (pow.f64 K 4)) (+.f64 (.f64 1/3 (-.f64 (.f64 1/384 (pow.f64 K 4)) (.f64 1/192 (pow.f64 K 4)))) (+.f64 (.f64 2/3 (-.f64 (.f64 1/384 (pow.f64 K 4)) (.f64 1/192 (pow.f64 K 4)))) (.f64 1/288 (pow.f64 K 4))))) (pow.f64 m 4)) (.f64 (+.f64 (.f64 -1/12 (pow.f64 K 2)) (.f64 -1/24 (pow.f64 K 2))) (pow.f64 m 2))))
(+.f64 1 (fma.f64 (pow.f64 K 4) (fma.f64 1/576 (pow.f64 m 4) (fma.f64 1/3 (.f64 (pow.f64 m 4) -1/384) (fma.f64 2/3 (.f64 (pow.f64 m 4) -1/384) (.f64 (pow.f64 m 4) 1/288)))) (.f64 (.f64 (.f64 m m) -1/8) (*.f64 K K))))
(+.f64 1 (fma.f64 (pow.f64 K 4) (fma.f64 1/576 (pow.f64 m 4) (+.f64 (.f64 (pow.f64 m 4) 1/288) (.f64 (.f64 (pow.f64 m 4) -1/384) 1))) (.f64 m (.f64 m (.f64 (*.f64 K K) -1/8)))))
(fma.f64 m (.f64 m (.f64 (.f64 K K) -1/8)) (fma.f64 (pow.f64 K 4) (.f64 (pow.f64 m 4) 1/384) 1))
(+.f64 1 (+.f64 (.f64 (+.f64 (.f64 2/3 (-.f64 (.f64 -1/46080 (pow.f64 K 6)) (+.f64 (.f64 -1/13824 (pow.f64 K 6)) (.f64 -1/12 (.f64 (pow.f64 K 2) (-.f64 (.f64 1/384 (pow.f64 K 4)) (.f64 1/192 (pow.f64 K 4)))))))) (+.f64 (.f64 -1/18 (.f64 (pow.f64 K 2) (-.f64 (.f64 1/384 (pow.f64 K 4)) (.f64 1/192 (pow.f64 K 4))))) (+.f64 (.f64 -1/24 (.f64 (pow.f64 K 2) (+.f64 (.f64 1/576 (pow.f64 K 4)) (.f64 2/3 (-.f64 (.f64 1/384 (pow.f64 K 4)) (.f64 1/192 (pow.f64 K 4))))))) (.f64 1/3 (-.f64 (.f64 -1/46080 (pow.f64 K 6)) (+.f64 (.f64 -1/13824 (pow.f64 K 6)) (.f64 -1/12 (.f64 (pow.f64 K 2) (-.f64 (.f64 1/384 (pow.f64 K 4)) (.f64 1/192 (pow.f64 K 4))))))))))) (pow.f64 m 6)) (+.f64 (.f64 (+.f64 (.f64 1/576 (pow.f64 K 4)) (+.f64 (.f64 1/3 (-.f64 (.f64 1/384 (pow.f64 K 4)) (.f64 1/192 (pow.f64 K 4)))) (+.f64 (.f64 2/3 (-.f64 (.f64 1/384 (pow.f64 K 4)) (.f64 1/192 (pow.f64 K 4)))) (.f64 1/288 (pow.f64 K 4))))) (pow.f64 m 4)) (.f64 (+.f64 (.f64 -1/12 (pow.f64 K 2)) (*.f64 -1/24 (pow.f64 K 2))) (pow.f64 m 2)))))
(+.f64 1 (fma.f64 (fma.f64 2/3 (-.f64 (.f64 -1/46080 (pow.f64 K 6)) (fma.f64 -1/13824 (pow.f64 K 6) (.f64 (.f64 -1/12 (.f64 K K)) (.f64 (pow.f64 K 4) -1/384)))) (fma.f64 -1/18 (.f64 (.f64 K K) (.f64 (pow.f64 K 4) -1/384)) (fma.f64 -1/24 (.f64 (.f64 K K) (fma.f64 1/576 (pow.f64 K 4) (.f64 2/3 (.f64 (pow.f64 K 4) -1/384)))) (.f64 1/3 (-.f64 (.f64 -1/46080 (pow.f64 K 6)) (fma.f64 -1/13824 (pow.f64 K 6) (.f64 (.f64 -1/12 (.f64 K K)) (.f64 (pow.f64 K 4) -1/384)))))))) (pow.f64 m 6) (fma.f64 (fma.f64 1/576 (pow.f64 K 4) (fma.f64 1/3 (.f64 (pow.f64 K 4) -1/384) (fma.f64 2/3 (.f64 (pow.f64 K 4) -1/384) (.f64 (pow.f64 K 4) 1/288)))) (pow.f64 m 4) (.f64 (.f64 m m) (.f64 (*.f64 K K) -1/8)))))
(+.f64 1 (fma.f64 (pow.f64 m 6) (fma.f64 2/3 (+.f64 (.f64 (pow.f64 K 6) 7/138240) (.f64 1/12 (.f64 K (.f64 K (.f64 (pow.f64 K 4) -1/384))))) (fma.f64 -1/18 (.f64 K (.f64 K (.f64 (pow.f64 K 4) -1/384))) (fma.f64 1/3 (+.f64 (.f64 (pow.f64 K 6) 7/138240) (.f64 1/12 (.f64 K (.f64 K (.f64 (pow.f64 K 4) -1/384))))) (.f64 (.f64 K K) (.f64 -1/24 (fma.f64 (pow.f64 K 4) 1/576 (.f64 (pow.f64 K 4) -1/576))))))) (fma.f64 (pow.f64 m 4) (fma.f64 (pow.f64 K 4) 1/576 (+.f64 (.f64 (pow.f64 K 4) 1/288) (.f64 (.f64 (pow.f64 K 4) -1/384) 1))) (.f64 m (.f64 m (.f64 (.f64 K K) -1/8))))))
(fma.f64 (pow.f64 m 6) (+.f64 (fma.f64 -1/24 (.f64 K (.f64 K (.f64 (pow.f64 K 4) 0))) (.f64 (pow.f64 K 6) 1/6912)) (.f64 (-.f64 (.f64 (pow.f64 K 6) 7/138240) (.f64 (pow.f64 K 6) 1/4608)) 1)) (fma.f64 m (.f64 m (.f64 (.f64 K K) -1/8)) (fma.f64 (pow.f64 K 4) (*.f64 (pow.f64 m 4) 1/384) 1)))
(fma.f64 (pow.f64 m 6) (+.f64 (-.f64 (.f64 (pow.f64 K 6) 7/138240) (.f64 (pow.f64 K 6) 1/4608)) (fma.f64 (.f64 K K) 0 (.f64 (pow.f64 K 6) 1/6912))) (fma.f64 m (.f64 m (.f64 (.f64 K K) -1/8)) (fma.f64 (pow.f64 K 4) (.f64 (pow.f64 m 4) 1/384) 1)))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (*.f64 K m))))
(.f64 1 (cos.f64 (.f64 1/2 (*.f64 m K))))
(cos.f64 (.f64 m (.f64 K 1/2)))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (*.f64 K m))))
(.f64 1 (cos.f64 (.f64 1/2 (*.f64 m K))))
(cos.f64 (.f64 m (.f64 K 1/2)))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (*.f64 K m))))
(.f64 1 (cos.f64 (.f64 1/2 (*.f64 m K))))
(cos.f64 (.f64 m (.f64 K 1/2)))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (*.f64 K m))))
(.f64 1 (cos.f64 (.f64 1/2 (*.f64 m K))))
(cos.f64 (.f64 m (.f64 K 1/2)))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (*.f64 K m))))
(.f64 1 (cos.f64 (.f64 1/2 (*.f64 m K))))
(cos.f64 (.f64 m (.f64 K 1/2)))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (*.f64 K m))))
(.f64 1 (cos.f64 (.f64 1/2 (*.f64 m K))))
(cos.f64 (.f64 m (.f64 K 1/2)))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (*.f64 K m))))
(.f64 1 (cos.f64 (.f64 1/2 (*.f64 m K))))
(cos.f64 (.f64 m (.f64 K 1/2)))
(.f64 (pow.f64 1 1/3) (cos.f64 (.f64 1/2 (*.f64 K m))))
(.f64 1 (cos.f64 (.f64 1/2 (*.f64 m K))))
(cos.f64 (.f64 m (.f64 K 1/2)))

eval666.0ms (4.5%)

Compiler: Compiled 29053 to 17657 computations (39.2% saved)

prune229.0ms (1.6%)

Pruning

31 alts after pruning (29 fresh and 2 done)

	Pruned	Kept	Total
New	677	6	683
Fresh	1	23	24
Picked	1	0	1
Done	3	2	5
Total	682	31	713

Error

1.5b

Counts

713 → 31

Alt Table

Click to see full alt table

Status	Error	Program
	45.5b	(/.f64 (cos.f64 M) (exp.f64 l))
	53.5b	(.f64 (fma.f64 (.f64 K K) (.f64 m (.f64 m -1/8)) 1) (exp.f64 (neg.f64 l)))
	10.6b	(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))) 2) (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))))) 3) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	34.2b	(.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (+.f64 m n) (.f64 K 1/2) (neg.f64 M)))) 3) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	47.1b	(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 K (*.f64 m 1/2)))) 3) (exp.f64 (neg.f64 l)))
	20.6b	(.f64 (.f64 (fma.f64 (.f64 (.f64 K m) (.f64 K m)) -1/12 1) (cbrt.f64 (cos.f64 (.f64 K (*.f64 m 1/2))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	10.6b	(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))) 2) (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))))) 2) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))) 2) (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2))))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	47.1b	(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))) 2) (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2))))) (exp.f64 (neg.f64 l)))
	45.7b	(.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (pow.f64 (.f64 n K) 1/3) 3) 2) M)) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	49.0b	(.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (pow.f64 (.f64 K (+.f64 m n)) 3) 1/3) 2) M)) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	34.3b	(.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 K (+.f64 m n)))) 3) 3) 2) M)) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	32.6b	(.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 K m)) 3) 2) M)) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	41.9b	(.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (.f64 K (+.f64 m n))))) 3) 2) M)) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	37.9b	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 K m) (.f64 K m)) (.f64 (.f64 K n) (.f64 K n))) (/.f64 (.f64 (-.f64 (.f64 m m) (.f64 n n)) 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))))))
	42.4b	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 K m) (.f64 K m)) (.f64 (.f64 K n) (.f64 K n))) (-.f64 (.f64 K m) (.f64 K n))) 2) M)) (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	40.4b	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (.f64 (-.f64 (.f64 m m) (.f64 n n)) K) (-.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	41.5b	(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (.f64 (.f64 K m) (.f64 K m)) (pow.f64 (pow.f64 (*.f64 K (-.f64 m n)) 3) 1/3)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	48.1b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 (pow.f64 (.f64 K (+.f64 m n)) 1/6) (.f64 (pow.f64 (.f64 K (+.f64 m n)) 1/6) (pow.f64 (cbrt.f64 (.f64 K (+.f64 m n))) 2))) 2) M)) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	34.3b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 m n)) 2) (.f64 (cbrt.f64 (+.f64 m n)) K)) 2) M)) (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	34.2b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (*.f64 -1 (pow.f64 M 2))))
	47.6b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l)))
	31.9b	(.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
✓	47.1b	(.f64 (cos.f64 (.f64 K (*.f64 m 1/2))) (exp.f64 (neg.f64 l)))
	45.6b	(.f64 (cos.f64 (expm1.f64 (log1p.f64 (fma.f64 (+.f64 m n) (.f64 K 1/2) (neg.f64 M))))) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	60.5b	(*.f64 (cos.f64 M) (-.f64 1 l))
	52.1b	(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))
	30.3b	(.f64 (cos.f64 M) (exp.f64 (.f64 n (*.f64 n -1/4))))
	29.3b	(.f64 (cos.f64 M) (exp.f64 (.f64 m (*.f64 m -1/4))))
	27.3b	(.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M))))
	45.5b	(exp.f64 (neg.f64 l))
✓	60.3b	(cos.f64 M)

Compiler

Compiled 872 to 613 computations (29.7% saved)

regimes324.0ms (2.2%)

Counts

63 → 1

Calls

Call 1

Inputs
(cos.f64 M)
(exp.f64 (neg.f64 l))
(*.f64 (cos.f64 M) (-.f64 1 l))
(/.f64 (cos.f64 M) (exp.f64 l))
(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M))))
(.f64 (cos.f64 M) (exp.f64 (.f64 m (*.f64 m -1/4))))
(.f64 (cos.f64 M) (exp.f64 (.f64 n (*.f64 n -1/4))))
(.f64 (cos.f64 (.f64 K (*.f64 m 1/2))) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l)))
(.f64 (fma.f64 (.f64 K K) (.f64 m (.f64 m -1/8)) 1) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))
(.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (*.f64 -1 (pow.f64 M 2))))
(.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (.f64 m (.f64 m 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (.f64 n (.f64 n 1/4))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (.f64 (-.f64 (.f64 m m) (.f64 n n)) K) (-.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 K m) (.f64 K m)) (.f64 (.f64 K n) (.f64 K n))) (-.f64 (.f64 K m) (.f64 K n))) 2) M)) (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 K (*.f64 m 1/2)))) 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 m n))))))
(.f64 (cos.f64 (.f64 K (*.f64 m 1/2))) (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 K (*.f64 n 1/2))) (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 (fma.f64 (.f64 K K) (.f64 m (.f64 m -1/8)) 1) (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 (.f64 (-.f64 (.f64 m m) (.f64 n n)) 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 (-.f64 (.f64 (.f64 K m) (.f64 K m)) (.f64 (.f64 K n) (.f64 K n))) (-.f64 (.f64 K m) (*.f64 K 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 (-.f64 (.f64 (.f64 K m) (.f64 K m)) (.f64 (.f64 K n) (.f64 K n))) (/.f64 (.f64 (-.f64 (.f64 m m) (.f64 n n)) 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 (pow.f64 (cbrt.f64 (.f64 K m)) 3) 2) M)) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (exp.f64 (log.f64 (.f64 K (+.f64 m n)))) 2) M)) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (pow.f64 (.f64 n K) 1/3) 3) 2) M)) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 K (+.f64 m n))) 3) 2) M)) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (pow.f64 (.f64 K (+.f64 m n)) 3) 1/3) 2) M)) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (fma.f64 -1/8 (pow.f64 (.f64 K m) 2) 1) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))) 2) (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2))))) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (expm1.f64 (log1p.f64 (fma.f64 (+.f64 m n) (.f64 K 1/2) (neg.f64 M))))) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (+.f64 m n) (.f64 K 1/2) (neg.f64 M)))) 3) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 K (*.f64 m 1/2)))) 3) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 K (*.f64 m 1/2)))) 3) (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 (exp.f64 (log.f64 (.f64 K (+.f64 m n)))) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 m n)) 2) (.f64 (cbrt.f64 (+.f64 m n)) K)) 2) M)) (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 K (+.f64 m n))) 3) 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 (pow.f64 (pow.f64 (.f64 K (+.f64 m n)) 3) 1/3) 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 (.f64 (fma.f64 (.f64 K (.f64 m (.f64 K m))) -1/12 1) (cbrt.f64 (cos.f64 (.f64 K (*.f64 m 1/2))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (.f64 (fma.f64 (.f64 (.f64 K m) (.f64 K m)) -1/12 1) (cbrt.f64 (cos.f64 (.f64 K (*.f64 m 1/2))))) (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 (.f64 (.f64 K m) (.f64 K m)) (pow.f64 (pow.f64 (*.f64 K (-.f64 m n)) 3) 1/3)) 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 (-.f64 (.f64 (.f64 K m) (.f64 K m)) (.f64 (.f64 K n) (.f64 K n))) (pow.f64 (pow.f64 (.f64 K (-.f64 m n)) 3) 1/3)) 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 (pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (.f64 K (+.f64 m n))))) 3) 2) M)) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 K (+.f64 m n)))) 3) 3) 2) M)) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 (cbrt.f64 m) 2) (.f64 (cbrt.f64 m) K) (.f64 K n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (expm1.f64 (log1p.f64 (fma.f64 (+.f64 m n) (.f64 K 1/2) (neg.f64 M))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (+.f64 m n) (.f64 K 1/2) (neg.f64 M)))) 3) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 (pow.f64 (.f64 K (+.f64 m n)) 1/6) (.f64 (pow.f64 (.f64 K (+.f64 m n)) 1/6) (pow.f64 (cbrt.f64 (.f64 K (+.f64 m n))) 2))) 2) M)) (exp.f64 (-.f64 (neg.f64 (*.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (fma.f64 (pow.f64 (cbrt.f64 m) 2) (.f64 (cbrt.f64 m) K) (*.f64 K 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 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))) 2) (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2))))) (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 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 K (+.f64 m n)) 3) 1/3) 3) 1/3) 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 (expm1.f64 (log1p.f64 (-.f64 (pow.f64 (.f64 K m) 2) (pow.f64 (.f64 K n) 2)))) (-.f64 (.f64 K m) (*.f64 K 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 (+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))) (.f64 -1/2 (.f64 K (*.f64 (sin.f64 (neg.f64 M)) (+.f64 n m)))))) (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 (-.f64 (.f64 (.f64 K m) (.f64 K m)) (.f64 (.f64 K n) (.f64 K n))) (fma.f64 (.f64 m (pow.f64 (cbrt.f64 K) 2)) (cbrt.f64 K) (*.f64 K (neg.f64 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 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))) 2) (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))))) 3) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))) 2) (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))))) 2) (cbrt.f64 (cos.f64 (.f64 K (*.f64 m 1/2))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))) 2) (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))))) 2) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2)))) 2) (cbrt.f64 (cos.f64 (.f64 K (.f64 m 1/2))))))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))

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

Calls

6 calls:

70.0ms	m
61.0ms	n
51.0ms	(.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))))))
33.0ms	l
31.0ms	M

Results

Error	Segments	Branch
1.8b	1	`K`
1.8b	1	`m`
1.8b	1	`n`
1.8b	1	`M`
1.8b	1	`l`
1.8b	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 1806 to 827 computations (54.2% saved)

regimes638.0ms (4.4%)

Counts

21 → 3

Calls

Call 1

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

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

Calls

5 calls:

315.0ms	K
91.0ms	n
86.0ms	M
71.0ms	l
64.0ms	m

Results

Error	Segments	Branch
16.0b	14	`K`
6.9b	3	`m`
8.0b	7	`n`
8.9b	6	`M`
15.7b	5	`l`

Compiler

Compiled 340 to 157 computations (53.8% saved)

bsearch164.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
80.0ms	-2.4704766743303462e-266	-4.8821036896810035e-270
84.0ms	-1.2073788792090082e+23	-9.51255777280174e+22

Compiler

Compiled 42 to 30 computations (28.6% saved)

regimes279.0ms (1.9%)

Counts

12 → 6

Calls

Call 1

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

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

Calls

5 calls:

121.0ms	n
50.0ms	l
45.0ms	K
39.0ms	M
20.0ms	m

Results

Error	Segments	Branch
21.5b	6	`K`
9.4b	3	`m`
10.1b	5	`n`
8.9b	6	`M`
15.7b	5	`l`

Compiler

Compiled 131 to 77 computations (41.2% saved)

bsearch361.0ms (2.5%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
83.0ms	2.2008386063805966e-14	4.802930334979697e-14
57.0ms	8.710257686473736e-205	9.228420367271412e-204
49.0ms	4.305616244538062e-298	1.0240924459097965e-284
95.0ms	-1.8153918889227133e-107	-2.094695275116959e-110
77.0ms	-1.1035160436663733e-7	-1.5737617023833423e-14

Compiler

Compiled 42 to 30 computations (28.6% saved)

regimes119.0ms (0.8%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

5 calls:

32.0ms	K
27.0ms	n
25.0ms	l
17.0ms	M
15.0ms	m

Results

Error	Segments	Branch
23.0b	4	`K`
11.6b	3	`m`
22.5b	4	`n`
11.6b	3	`M`
15.7b	5	`l`

Compiler

Compiled 74 to 48 computations (35.1% saved)

bsearch138.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
88.0ms	2.2008386063805966e-14	4.802930334979697e-14
50.0ms	-1.1035160436663733e-7	-1.5737617023833423e-14

Compiler

Compiled 42 to 30 computations (28.6% saved)

regimes92.0ms (0.6%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

5 calls:

57.0ms	M
15.0ms	l
8.0ms	m
5.0ms	K
5.0ms	n

Results

Error	Segments	Branch
27.3b	1	`K`
27.3b	1	`m`
27.3b	1	`n`
20.3b	3	`M`
20.1b	2	`l`

Compiler

Compiled 65 to 43 computations (33.8% saved)

bsearch90.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
89.0ms	54.41305644642273	31531.88688798234

Compiler

Compiled 42 to 30 computations (28.6% saved)

regimes26.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Error	Segments	Branch
45.5b	1	`K`
45.5b	1	`m`
45.5b	1	`n`
45.5b	1	`M`
45.5b	1	`l`

Compiler

Compiled 57 to 39 computations (31.6% saved)

regimes110.0ms (0.8%)

Accuracy

Total -15.4b remaining (-33.8%)

Threshold costs -15.4b (-33.8%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

5 calls:

11.0ms	K
9.0ms	n
8.0ms	M
8.0ms	m
8.0ms	l

Results

Error	Segments	Branch
45.5b	1	`K`
45.5b	1	`m`
45.5b	1	`n`
45.5b	1	`M`
45.5b	1	`l`

Compiler

Compiled 46 to 36 computations (21.7% saved)

simplify32.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

19×	`+-commutative_binary64`
19×	`*-commutative_binary64`
17×	`sub-neg_binary64`
11×	`neg-sub0_binary64`
11×	`neg-mul-1_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	301
1	98	301
2	125	301
3	156	297
4	179	297
5	187	297

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 m n))))))
(if (<=.f64 m -120737887920900821483520) (.f64 (cos.f64 M) (exp.f64 (.f64 m (.f64 m -1/4)))) (if (<=.f64 m -3587539635477721/145216494968533502226373290834951226575318379068300240142165220636322329800820739604020343212515268612285031620136032524458455590385244698026448298935780725174118246137447253314715469710380638366234296463120257539655053584656042977359091693393423640919145029829506241486695834845184) (.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n)))))) (.f64 (cos.f64 M) (exp.f64 (.f64 n (.f64 n -1/4))))))
(if (<=.f64 M -8337931484670395/75557863725914323419136) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))) (if (<=.f64 M -3000189109664409/165263992197562149737978827008192759957101170741070304821162198818601447809077836456297302609928821211897803006255839576064) (.f64 (cos.f64 M) (exp.f64 (.f64 n (.f64 n -1/4)))) (if (<=.f64 M 5072602244158417/11781361728633673532894774498354952494238773929196300355071513798753168641589311119865182769801300280680127783231251635087526446289021607771691249214388576215221396663491984443067742263787264024212477244347842938066577043117995647400274369612403653814737339068225047641453182709824206687753689912418253153056587776) (.f64 (cos.f64 M) (exp.f64 (.f64 m (.f64 m -1/4)))) (if (<=.f64 M 4919577858109475/5648027917416434993898217684409255726702707823703155049366803861725387660722396999811747841990459993941795730996567993156246593731756781895253106176973892212861592182965432241145264144985407055447514718957669060731469824) (.f64 (cos.f64 M) (exp.f64 (.f64 n (.f64 n -1/4)))) (if (<=.f64 M 3487367975479779/158456325028528675187087900672) (.f64 (cos.f64 M) (exp.f64 (.f64 m (.f64 m -1/4)))) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))))))))
(if (<=.f64 M -8337931484670395/75557863725914323419136) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))) (if (<=.f64 M 3487367975479779/158456325028528675187087900672) (.f64 (cos.f64 M) (exp.f64 (.f64 m (.f64 m -1/4)))) (.f64 (cos.f64 M) (exp.f64 (*.f64 M (neg.f64 M))))))
(if (<=.f64 l 478622306125389/8796093022208) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))) (exp.f64 (neg.f64 l)))
(/.f64 (cos.f64 M) (exp.f64 l))
(exp.f64 (neg.f64 l))
(cos.f64 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 m n))))))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(if (<=.f64 m -120737887920900821483520) (.f64 (cos.f64 M) (exp.f64 (.f64 m (.f64 m -1/4)))) (if (<=.f64 m -3587539635477721/145216494968533502226373290834951226575318379068300240142165220636322329800820739604020343212515268612285031620136032524458455590385244698026448298935780725174118246137447253314715469710380638366234296463120257539655053584656042977359091693393423640919145029829506241486695834845184) (.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 M M)) (-.f64 l (fabs.f64 (-.f64 m n)))))) (.f64 (cos.f64 M) (exp.f64 (.f64 n (.f64 n -1/4))))))
(if (<=.f64 m -120737887920900821483520) (.f64 (cos.f64 M) (exp.f64 (.f64 m (.f64 m -1/4)))) (if (<=.f64 m -3587539635477721/145216494968533502226373290834951226575318379068300240142165220636322329800820739604020343212515268612285031620136032524458455590385244698026448298935780725174118246137447253314715469710380638366234296463120257539655053584656042977359091693393423640919145029829506241486695834845184) (.f64 (cos.f64 M) (exp.f64 (-.f64 (.f64 M (neg.f64 M)) (-.f64 l (fabs.f64 (-.f64 m n)))))) (.f64 (cos.f64 M) (exp.f64 (.f64 n (.f64 n -1/4))))))
(if (<=.f64 m -120737887920900821483520) (.f64 (cos.f64 M) (exp.f64 (.f64 m (.f64 m -1/4)))) (if (<=.f64 m -3587539635477721/145216494968533502226373290834951226575318379068300240142165220636322329800820739604020343212515268612285031620136032524458455590385244698026448298935780725174118246137447253314715469710380638366234296463120257539655053584656042977359091693393423640919145029829506241486695834845184) (.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 M M)))) (.f64 (cos.f64 M) (exp.f64 (.f64 n (.f64 n -1/4))))))
(if (<=.f64 M -8337931484670395/75557863725914323419136) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))) (if (<=.f64 M -3000189109664409/165263992197562149737978827008192759957101170741070304821162198818601447809077836456297302609928821211897803006255839576064) (.f64 (cos.f64 M) (exp.f64 (.f64 n (.f64 n -1/4)))) (if (<=.f64 M 5072602244158417/11781361728633673532894774498354952494238773929196300355071513798753168641589311119865182769801300280680127783231251635087526446289021607771691249214388576215221396663491984443067742263787264024212477244347842938066577043117995647400274369612403653814737339068225047641453182709824206687753689912418253153056587776) (.f64 (cos.f64 M) (exp.f64 (.f64 m (.f64 m -1/4)))) (if (<=.f64 M 4919577858109475/5648027917416434993898217684409255726702707823703155049366803861725387660722396999811747841990459993941795730996567993156246593731756781895253106176973892212861592182965432241145264144985407055447514718957669060731469824) (.f64 (cos.f64 M) (exp.f64 (.f64 n (.f64 n -1/4)))) (if (<=.f64 M 3487367975479779/158456325028528675187087900672) (.f64 (cos.f64 M) (exp.f64 (.f64 m (.f64 m -1/4)))) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))))))))
(if (<=.f64 M -8337931484670395/75557863725914323419136) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))) (if (<=.f64 M 3487367975479779/158456325028528675187087900672) (.f64 (cos.f64 M) (exp.f64 (.f64 m (.f64 m -1/4)))) (.f64 (cos.f64 M) (exp.f64 (*.f64 M (neg.f64 M))))))
(if (<=.f64 l 478622306125389/8796093022208) (.f64 (cos.f64 M) (exp.f64 (.f64 M (neg.f64 M)))) (exp.f64 (neg.f64 l)))
(/.f64 (cos.f64 M) (exp.f64 l))
(exp.f64 (neg.f64 l))
(cos.f64 M)

Compiler

Compiled 230 to 149 computations (35.2% saved)

soundness143.0ms (1%)

Algorithm

1×	egg-herbie

Rules

712×	`fma-def_binary64`
652×	`distribute-rgt-neg-out_binary64`
586×	`distribute-lft-neg-out_binary64`
382×	`*-commutative_binary64`
343×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	139	2669
1	417	2628
2	1279	2506
3	4078	2506

Stop Event

1×	node limit

Compiler

Compiled 15 to 13 computations (13.3% saved)

end193.0ms (1.3%)

Remove: (sort m n)
Compiler: Compiled 245 to 131 computations (46.5% saved)