Details

analyze3.1s (35.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
12.5%	87.3%	0.2%	9
12.5%	87.3%	0.2%	10
18.7%	81.1%	0.2%	11
18.7%	81.1%	0.2%	12
18.7%	81.1%	0.2%	13
18.7%	81.1%	0.2%	14

Compiler

Compiled 35 to 24 computations (31.4% saved)

sample2.1s (23.7%)

Results

1.7s	8101×	body	128	valid
65.0ms	87×	body	1024	invalid
61.0ms	110×	body	512	invalid
57.0ms	280×	body	128	invalid
49.0ms	63×	body	1024	valid
44.0ms	57×	body	512	valid
24.0ms	60×	body	256	invalid
14.0ms	14×	body	2048	invalid
13.0ms	35×	body	256	valid

preprocess57.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

557×	`exp-sum_binary64`
428×	`fma-neg_binary64`
310×	`exp-prod_binary64`
288×	`exp-diff_binary64`
162×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	154	495
1	429	495
2	1042	473
3	3765	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 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) l) (fabs.f64 (-.f64 m n)))))
(.f64 (cos.f64 (-.f64 (.f64 (/.f64 K 2) (+.f64 m n)) M)) (exp.f64 (+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) l))))
(*.f64 (cos.f64 (fma.f64 (/.f64 K 2) (+.f64 m n) (neg.f64 M))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(*.f64 (cos.f64 (fma.f64 (+.f64 m n) (/.f64 K 2) (neg.f64 M))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.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 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 K n) 2) M) 2)) l) (fabs.f64 (-.f64 K n)))))
(.f64 (cos.f64 (-.f64 (.f64 (/.f64 m 2) (+.f64 K n)) M)) (exp.f64 (+.f64 (fabs.f64 (-.f64 K n)) (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 K n) 2) M) 2)) l))))
(.f64 (cos.f64 (-.f64 (.f64 (+.f64 K n) (/.f64 m 2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 K n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 K n) 2) M) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 n (+.f64 m K)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m K) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m K))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 n (+.f64 K m)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 K m) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m K))))))
(.f64 (cos.f64 (-.f64 (.f64 (/.f64 (+.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 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 l (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 K (fabs.f64 (-.f64 m n))))))
(*.f64 (cos.f64 (-.f64 (/.f64 l (/.f64 2 (+.f64 m n))) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 K (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (.f64 (/.f64 l 2) (+.f64 m n)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 K (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 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 K (+.f64 n m)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 n m))))))
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) l) (fabs.f64 (-.f64 m n)))))
(.f64 (cos.f64 (-.f64 (.f64 (/.f64 K 2) (+.f64 m n)) M)) (exp.f64 (+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) l))))
(*.f64 (cos.f64 (fma.f64 (/.f64 K 2) (+.f64 m n) (neg.f64 M))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(*.f64 (cos.f64 (fma.f64 (+.f64 m n) (/.f64 K 2) (neg.f64 M))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 M n)) 2) m)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 M n) 2) m) 2)) (-.f64 l (fabs.f64 (-.f64 M n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n M)) 2) m)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n M) 2) m) 2)) (-.f64 l (fabs.f64 (-.f64 M n))))))
(.f64 (cos.f64 (-.f64 (.f64 (/.f64 K 2) (+.f64 n M)) m)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n M) 2) m) 2)) (-.f64 l (fabs.f64 (-.f64 M n))))))
(.f64 (cos.f64 (-.f64 (.f64 (+.f64 n M) (/.f64 K 2)) m)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 M n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n M) 2) m) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.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 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 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m l) 2) M) 2)) n) (fabs.f64 (-.f64 l m)))))
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m l))) M)) (exp.f64 (+.f64 (fabs.f64 (-.f64 l m)) (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m l) 2) M) 2)) n))))
(.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 (-.f64 (fabs.f64 (-.f64 m n)) M) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) l) 2))))

Symmetry

(sort m n)

Compiler

Compiled 34 to 23 computations (32.4% saved)

simplify52.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

446×	`fma-neg_binary64`
251×	`times-frac_binary64`
231×	`cancel-sign-sub-inv_binary64`
219×	`exp-sum_binary64`
202×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	45
1	58	45
2	135	43
3	442	43
4	1753	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 (+.f64 m n)) 2) 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 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
(*.f64 (cos.f64 (fma.f64 K (/.f64 (+.f64 m n) 2) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

15.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	15.1b	(*.f64 (cos.f64 (fma.f64 K (/.f64 (+.f64 m n) 2) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))

Compiler

Compiled 128 to 83 computations (35.2% saved)

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 K (/.f64 (+.f64 m n) 2) (neg.f64 M))
✓	0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
✓	32.7b	(cos.f64 (fma.f64 K (/.f64 (+.f64 m n) 2) (neg.f64 M)))

series25.0ms (0.3%)

Counts

3 → 132

Calls

33 calls:

Time	Variable		Point	Expression
6.0ms	K	@	-inf	(cos.f64 (fma.f64 K (/.f64 (+.f64 m n) 2) (neg.f64 M)))
1.0ms	m	@	inf	(fma.f64 K (/.f64 (+.f64 m n) 2) (neg.f64 M))
1.0ms	K	@	0	(cos.f64 (fma.f64 K (/.f64 (+.f64 m n) 2) (neg.f64 M)))
1.0ms	m	@	0	(cos.f64 (fma.f64 K (/.f64 (+.f64 m n) 2) (neg.f64 M)))
1.0ms	n	@	0	(cos.f64 (fma.f64 K (/.f64 (+.f64 m n) 2) (neg.f64 M)))

rewrite78.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

354×	`fma-def_binary64`
241×	`expm1-udef_binary64`
241×	`log1p-udef_binary64`
201×	`fma-neg_binary64`
152×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	41
1	292	35
2	4006	35

Stop Event

1×	node limit

Counts

3 → 98

Calls

Call 1

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

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 2) (fma.f64 M M (.f64 M M)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (+.f64 m n) 2) 1/4) (.f64 M M))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (+.f64 m n) 1/2) (fma.f64 (+.f64 m n) 1/2 M)) (.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 M) (.f64 (+.f64 m n) 1/2)) (.f64 (fma.f64 (+.f64 m n) 1/2 M) M))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (pow.f64 (+.f64 m n) 2) 1/4) (.f64 M M))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (+.f64 m n) 1/2 M) (fma.f64 (+.f64 m n) 1/2 M))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 m n) 1/2 M)) 2) (cbrt.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 m n) 1/2 M)) 2) (.f64 (cbrt.f64 (fma.f64 (+.f64 m n) 1/2 M)) (fma.f64 (+.f64 m n) 1/2 M)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 4)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 m n) 1/2 M)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (+.f64 m n) 1/2 M)) (.f64 (sqrt.f64 (fma.f64 (+.f64 m n) 1/2 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 M) (sqrt.f64 (fma.f64 (+.f64 m n) 1/2 M))) (sqrt.f64 (fma.f64 (+.f64 m n) 1/2 M)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 (+.f64 m n) 1/2 M) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 m n) 1/2 M)) 2)) (cbrt.f64 (fma.f64 (+.f64 m n) 1/2 M)))))) (#(struct:change #<rule 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(+.f64 m n) 2) 1/4) (.f64 M M)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 (pow.f64 (+.f64 m n) 2) 1/4) (.f64 (pow.f64 (+.f64 m n) 2) 1/4)) (.f64 (.f64 M M) (.f64 M M))) (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 (pow.f64 (+.f64 m n) 3) 1/8 (pow.f64 M 3)) (fma.f64 (+.f64 m n) 1/2 M)) (fma.f64 M (fma.f64 (+.f64 m n) 1/2 M) (.f64 (pow.f64 (+.f64 m n) 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 (+.f64 m n) 1/2 M) (fma.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 (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 2) (fma.f64 (pow.f64 (+.f64 m n) 3) 1/8 (pow.f64 M 3))) (.f64 (fma.f64 (+.f64 m n) 1/2 M) (fma.f64 M (fma.f64 (+.f64 m n) 1/2 M) (.f64 (pow.f64 (+.f64 m n) 2) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 m n) (.f64 1/2 (.f64 (+.f64 m n) 1/2)) (.f64 M M))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (+.f64 m n) 1/2) (.f64 (+.f64 m n) 1/2) (.f64 M M))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (+.f64 m n) 1/2) (fma.f64 (+.f64 m n) 1/2 M) (.f64 M (fma.f64 (+.f64 m n) 1/2 M)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (+.f64 m n) 1/2 M) (.f64 (+.f64 m n) 1/2) (.f64 (fma.f64 (+.f64 m n) 1/2 M) M))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (+.f64 m n) 1/2 M) (fma.f64 (+.f64 m n) 1/2 M) (fma.f64 M M (.f64 M M)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 2) 1 (fma.f64 M M (.f64 M M)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 2) (fma.f64 M M (.f64 M M)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 (pow.f64 (+.f64 m n) 2) 1/4) (.f64 M M))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 m n) 2) 1/4 (.f64 M M))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 m n) 1/2 M)) 2) (cbrt.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 4)) (fma.f64 M M (.f64 M M)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 m n) 1/2 M)) 2) (.f64 (cbrt.f64 (fma.f64 (+.f64 m n) 1/2 M)) (fma.f64 (+.f64 m n) 1/2 M)) (fma.f64 M M (.f64 M M)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 4)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 m n) 1/2 M)) 2) (fma.f64 M M (.f64 M M)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) 1/2)) 2) (.f64 (cbrt.f64 (.f64 (+.f64 m n) 1/2)) (.f64 (+.f64 m n) 1/2)) (.f64 M M))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (+.f64 m n) 1/2 M)) (.f64 (sqrt.f64 (fma.f64 (+.f64 m n) 1/2 M)) (fma.f64 (+.f64 m n) 1/2 M)) (fma.f64 M M (.f64 M M)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 (+.f64 m n) 1/2)) (.f64 (sqrt.f64 (.f64 (+.f64 m n) 1/2)) (.f64 (+.f64 m n) 1/2)) (.f64 M M))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 (+.f64 m n) 1/2) (sqrt.f64 (.f64 (+.f64 m n) 1/2))) (sqrt.f64 (.f64 (+.f64 m n) 1/2)) (.f64 M M))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (fma.f64 (+.f64 m n) 1/2 M) (sqrt.f64 (fma.f64 (+.f64 m n) 1/2 M))) (sqrt.f64 (fma.f64 (+.f64 m n) 1/2 M)) (fma.f64 M M (.f64 M M)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) 1/2)) 2) (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) 1/2)) 2)) (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) 1/2)) 2) (.f64 M M))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 (+.f64 m n) 1/2) (+.f64 m n)) 1/2 (.f64 M M))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (fma.f64 (+.f64 m n) 1/2 M) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 m n) 1/2 M)) 2)) (cbrt.f64 (fma.f64 (+.f64 m n) 1/2 M)) (fma.f64 M M (.f64 M M)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 (+.f64 m n) 1/2) (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) 1/2)) 2)) (cbrt.f64 (.f64 (+.f64 m n) 1/2)) (.f64 M M))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (fma.f64 (+.f64 m n) 1/2 M))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (fma.f64 (+.f64 m n) 1/2 M))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 M) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 M (.f64 K (.f64 (+.f64 m n) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) 1) M)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 K (.f64 (+.f64 m n) 1/2) 0) M)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)) (pow.f64 (cbrt.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)) 2) (cbrt.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)) (sqrt.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) 3) (pow.f64 M 3)) (fma.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) (.f64 K (.f64 (+.f64 m n) 1/2)) (-.f64 (.f64 M M) (.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) (.f64 K (.f64 (+.f64 m n) 1/2)) (.f64 M M)) (fma.f64 (.f64 K (+.f64 m n)) 1/2 M))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 M)))))))

Outputs

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

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

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

simplify74.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

719×	`fma-def_binary64`
377×	`*-commutative_binary64`
347×	`unsub-neg_binary64`
197×	`neg-sub0_binary64`
192×	`neg-mul-1_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	138	2471
1	417	2394
2	1262	2272
3	4070	2272

Stop Event

1×	node limit

Counts

230 → 180

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 (fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 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 (fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 K (.f64 1/2 (-.f64 n (.f64 -1 m))) (neg.f64 M)))
(cos.f64 (fma.f64 K (.f64 1/2 (-.f64 n (.f64 -1 m))) (neg.f64 M)))
(cos.f64 (fma.f64 K (.f64 1/2 (-.f64 n (.f64 -1 m))) (neg.f64 M)))
(cos.f64 (fma.f64 K (.f64 1/2 (-.f64 n (.f64 -1 m))) (neg.f64 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 (fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 K (.f64 1/2 (-.f64 m (.f64 -1 n))) (neg.f64 M)))
(cos.f64 (fma.f64 K (.f64 1/2 (-.f64 m (.f64 -1 n))) (neg.f64 M)))
(cos.f64 (fma.f64 K (.f64 1/2 (-.f64 m (.f64 -1 n))) (neg.f64 M)))
(cos.f64 (fma.f64 K (.f64 1/2 (-.f64 m (.f64 -1 n))) (neg.f64 M)))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M) (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))))
(+.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 (fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 K (*.f64 1/2 (+.f64 n m)) (neg.f64 M)))
(cos.f64 (fma.f64 K (.f64 1/2 (+.f64 n m)) (.f64 -1 M)))
(cos.f64 (fma.f64 K (.f64 1/2 (+.f64 n m)) (.f64 -1 M)))
(cos.f64 (fma.f64 K (.f64 1/2 (+.f64 n m)) (.f64 -1 M)))
(cos.f64 (fma.f64 K (.f64 1/2 (+.f64 n m)) (.f64 -1 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)))
(*.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))))

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

prune706.0ms (8.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	174	6	180
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	175	6	181

Error

0.8b

Counts

181 → 6

Alt Table

Status	Error	Program
	15.4b	(.f64 (cos.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)) 3)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	15.4b	(.f64 (cos.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)) 2) (cbrt.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	15.4b	(.f64 (log.f64 (exp.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	15.5b	(.f64 (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)) 2)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	15.2b	(.f64 (fma.f64 M (sin.f64 (.f64 (+.f64 n m) (.f64 K 1/2))) (cos.f64 (.f64 (+.f64 n m) (*.f64 K 1/2)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
▶	1.1b	(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))

Compiler

Compiled 6867 to 3445 computations (49.8% saved)

localize15.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

prune225.0ms (2.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	83	6	89

Error

0.8b

Counts

89 → 6

Alt Table

Status	Error	Program
	15.4b	(.f64 (cos.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)) 3)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	15.4b	(.f64 (cos.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)) 2) (cbrt.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	15.4b	(.f64 (log.f64 (exp.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	15.5b	(.f64 (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)) 2)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
▶	15.2b	(.f64 (fma.f64 M (sin.f64 (.f64 (+.f64 n m) (.f64 K 1/2))) (cos.f64 (.f64 (+.f64 n m) (*.f64 K 1/2)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
✓	1.1b	(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))

Compiler

Compiled 2734 to 1332 computations (51.3% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
✓	0.1b	(fma.f64 M (sin.f64 (.f64 (+.f64 n m) (.f64 K 1/2))) (cos.f64 (.f64 (+.f64 n m) (.f64 K 1/2))))
✓	37.5b	(sin.f64 (.f64 (+.f64 n m) (.f64 K 1/2)))
✓	38.0b	(cos.f64 (.f64 (+.f64 n m) (.f64 K 1/2)))

series21.0ms (0.2%)

Counts

3 → 120

Calls

30 calls:

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

rewrite53.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

880×	`prod-diff_binary64`
231×	`log1p-udef_binary64`
130×	`add-sqr-sqrt_binary64`
127×	`*-un-lft-identity_binary64`
127×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	51
1	249	51
2	3182	51

Stop Event

1×	node limit

Counts

3 → 59

Calls

Call 1

Inputs
(cos.f64 (.f64 (+.f64 n m) (.f64 K 1/2)))
(sin.f64 (.f64 (+.f64 n m) (.f64 K 1/2)))
(fma.f64 M (sin.f64 (.f64 (+.f64 n m) (.f64 K 1/2))) (cos.f64 (.f64 (+.f64 n m) (.f64 K 1/2))))

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

Outputs

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

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

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

simplify67.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

423×	`associate-+l+_binary64`
332×	`associate-+r+_binary64`
302×	`associate-r_binary64`
249×	`distribute-rgt-in_binary64`
243×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	211	3161
1	650	3110
2	2223	3002

Stop Event

1×	node limit

Counts

179 → 142

Calls

Call 1

Inputs
(cos.f64 (.f64 1/2 (.f64 K m)))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (.f64 1/2 (.f64 K m)))))) (cos.f64 (.f64 1/2 (*.f64 K m))))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (.f64 1/2 (.f64 K m)))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (pow.f64 K 2) (cos.f64 (.f64 1/2 (.f64 K m)))))) (cos.f64 (.f64 1/2 (.f64 K m)))))
(+.f64 (.f64 1/48 (.f64 (pow.f64 n 3) (.f64 (pow.f64 K 3) (sin.f64 (.f64 1/2 (.f64 K m)))))) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (.f64 1/2 (.f64 K m)))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (pow.f64 K 2) (cos.f64 (.f64 1/2 (.f64 K m)))))) (cos.f64 (.f64 1/2 (*.f64 K m))))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))))
(cos.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))))
(cos.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))))
(cos.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))))
(cos.f64 (.f64 1/2 (.f64 n K)))
(+.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (*.f64 K m))))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (+.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (.f64 K m)))))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (+.f64 (.f64 1/48 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (.f64 (pow.f64 K 3) (pow.f64 m 3)))) (+.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (*.f64 K m))))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))))
(cos.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))))
(cos.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))))
(cos.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))))
1
(+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2))))
(+.f64 1 (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 (+.f64 n m) 4))) (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))))
(+.f64 1 (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 (+.f64 n m) 4))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2))) (.f64 -1/46080 (.f64 (pow.f64 K 6) (pow.f64 (+.f64 n m) 6))))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(sin.f64 (.f64 1/2 (.f64 K m)))
(+.f64 (.f64 1/2 (.f64 n (.f64 K (cos.f64 (.f64 1/2 (.f64 K m)))))) (sin.f64 (.f64 1/2 (*.f64 K m))))
(+.f64 (.f64 1/2 (.f64 n (.f64 K (cos.f64 (.f64 1/2 (.f64 K m)))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (pow.f64 K 2) (sin.f64 (.f64 1/2 (.f64 K m)))))) (sin.f64 (.f64 1/2 (.f64 K m)))))
(+.f64 (.f64 1/2 (.f64 n (.f64 K (cos.f64 (.f64 1/2 (.f64 K m)))))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 n 3) (.f64 (pow.f64 K 3) (cos.f64 (.f64 1/2 (.f64 K m)))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (pow.f64 K 2) (sin.f64 (.f64 1/2 (.f64 K m)))))) (sin.f64 (.f64 1/2 (*.f64 K m))))))
(sin.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(sin.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(sin.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(sin.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(sin.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))))
(sin.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))))
(sin.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))))
(sin.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))))
(sin.f64 (.f64 1/2 (.f64 n K)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 K m))) (sin.f64 (.f64 1/2 (*.f64 n K))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 K m))) (+.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (.f64 -1/8 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (.f64 (pow.f64 K 2) (pow.f64 m 2))))))
(+.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 K m))) (+.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (+.f64 (.f64 -1/8 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (.f64 -1/48 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (*.f64 (pow.f64 K 3) (pow.f64 m 3)))))))
(sin.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(sin.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(sin.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(sin.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(sin.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))))
(sin.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))))
(sin.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))))
(sin.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))))
(.f64 1/2 (.f64 K (+.f64 n m)))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 K 3) (pow.f64 (+.f64 n m) 3))) (.f64 1/2 (.f64 K (+.f64 n m))))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 K 3) (pow.f64 (+.f64 n m) 3))) (+.f64 (.f64 1/3840 (.f64 (pow.f64 K 5) (pow.f64 (+.f64 n m) 5))) (.f64 1/2 (.f64 K (+.f64 n m)))))
(+.f64 (.f64 -1/48 (.f64 (pow.f64 K 3) (pow.f64 (+.f64 n m) 3))) (+.f64 (.f64 -1/645120 (.f64 (pow.f64 K 7) (pow.f64 (+.f64 n m) 7))) (+.f64 (.f64 1/3840 (.f64 (pow.f64 K 5) (pow.f64 (+.f64 n m) 5))) (.f64 1/2 (.f64 K (+.f64 n m))))))
(sin.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(sin.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(sin.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(sin.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(sin.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(sin.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(sin.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(sin.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M) (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) (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))))
(.f64 (sin.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))) 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) (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 (sin.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))) 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) (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 m))) M) (cos.f64 (.f64 1/2 (*.f64 K m))))
(+.f64 (.f64 n (-.f64 (.f64 1/2 (.f64 K (.f64 (cos.f64 (.f64 1/2 (.f64 K m))) M))) (.f64 1/2 (.f64 K (sin.f64 (.f64 1/2 (.f64 K m))))))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K m))) M) (cos.f64 (.f64 1/2 (*.f64 K m)))))
(+.f64 (.f64 n (-.f64 (.f64 1/2 (.f64 K (.f64 (cos.f64 (.f64 1/2 (.f64 K m))) M))) (.f64 1/2 (.f64 K (sin.f64 (.f64 1/2 (.f64 K m))))))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K m))) M) (+.f64 (cos.f64 (.f64 1/2 (.f64 K m))) (.f64 (pow.f64 n 2) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (sin.f64 (.f64 1/2 (.f64 K m))) M))) (.f64 -1/8 (.f64 (pow.f64 K 2) (cos.f64 (.f64 1/2 (*.f64 K m))))))))))
(+.f64 (.f64 n (-.f64 (.f64 1/2 (.f64 K (.f64 (cos.f64 (.f64 1/2 (.f64 K m))) M))) (.f64 1/2 (.f64 K (sin.f64 (.f64 1/2 (.f64 K m))))))) (+.f64 (.f64 (pow.f64 n 3) (-.f64 (.f64 -1/48 (.f64 (pow.f64 K 3) (.f64 (cos.f64 (.f64 1/2 (.f64 K m))) M))) (.f64 -1/48 (.f64 (pow.f64 K 3) (sin.f64 (.f64 1/2 (.f64 K m))))))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K m))) M) (+.f64 (cos.f64 (.f64 1/2 (.f64 K m))) (.f64 (pow.f64 n 2) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (sin.f64 (.f64 1/2 (.f64 K m))) M))) (.f64 -1/8 (.f64 (pow.f64 K 2) (cos.f64 (.f64 1/2 (*.f64 K 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) (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) (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))))
(+.f64 (cos.f64 (.f64 1/2 (.f64 K (-.f64 m (.f64 -1 n))))) (.f64 (sin.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n))))) M))
(+.f64 (cos.f64 (.f64 1/2 (.f64 K (-.f64 m (.f64 -1 n))))) (.f64 (sin.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n))))) M))
(+.f64 (cos.f64 (.f64 1/2 (.f64 K (-.f64 m (.f64 -1 n))))) (.f64 (sin.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n))))) M))
(+.f64 (cos.f64 (.f64 1/2 (.f64 K (-.f64 m (.f64 -1 n))))) (.f64 (sin.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n))))) M))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) M) (cos.f64 (.f64 1/2 (*.f64 n K))))
(+.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) M) (.f64 (-.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 K M))) (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 (*.f64 n K))) K))) m)))
(+.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) M) (+.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (.f64 (pow.f64 K 2) M))) (.f64 -1/8 (.f64 (pow.f64 K 2) (cos.f64 (.f64 1/2 (.f64 n K)))))) (pow.f64 m 2)) (.f64 (-.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 K M))) (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 (*.f64 n K))) K))) m))))
(+.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) M) (+.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (.f64 (pow.f64 K 2) M))) (.f64 -1/8 (.f64 (pow.f64 K 2) (cos.f64 (.f64 1/2 (.f64 n K)))))) (pow.f64 m 2)) (+.f64 (.f64 (-.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 K M))) (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) K))) m) (.f64 (-.f64 (.f64 -1/48 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 (pow.f64 K 3) M))) (.f64 -1/48 (.f64 (sin.f64 (.f64 1/2 (*.f64 n K))) (pow.f64 K 3)))) (pow.f64 m 3))))))
(+.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) (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) (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))))
(+.f64 (cos.f64 (.f64 1/2 (.f64 K (-.f64 n (.f64 -1 m))))) (.f64 (sin.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m))))) M))
(+.f64 (cos.f64 (.f64 1/2 (.f64 K (-.f64 n (.f64 -1 m))))) (.f64 (sin.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m))))) M))
(+.f64 (cos.f64 (.f64 1/2 (.f64 K (-.f64 n (.f64 -1 m))))) (.f64 (sin.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m))))) M))
(+.f64 (cos.f64 (.f64 1/2 (.f64 K (-.f64 n (.f64 -1 m))))) (.f64 (sin.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m))))) M))
1
(+.f64 1 (.f64 1/2 (.f64 K (*.f64 (+.f64 n m) M))))
(+.f64 1 (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2))) (.f64 1/2 (.f64 K (*.f64 (+.f64 n m) M)))))
(+.f64 1 (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2))) (+.f64 (.f64 1/2 (.f64 K (.f64 (+.f64 n m) M))) (.f64 -1/48 (.f64 (pow.f64 K 3) (.f64 (pow.f64 (+.f64 n m) 3) 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) (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) (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) (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) (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))))

Outputs
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (.f64 1/2 (.f64 K m)))))) (cos.f64 (.f64 1/2 (*.f64 K m))))
(fma.f64 -1/2 (.f64 n (.f64 K (sin.f64 (.f64 1/2 (.f64 K m))))) (cos.f64 (.f64 1/2 (.f64 K m))))
(fma.f64 -1/2 (.f64 K (.f64 (sin.f64 (.f64 K (.f64 m 1/2))) n)) (cos.f64 (.f64 K (.f64 m 1/2))))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (.f64 1/2 (.f64 K m)))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (pow.f64 K 2) (cos.f64 (.f64 1/2 (.f64 K m)))))) (cos.f64 (.f64 1/2 (.f64 K m)))))
(fma.f64 -1/2 (.f64 n (.f64 K (sin.f64 (.f64 1/2 (.f64 K m))))) (fma.f64 -1/8 (.f64 (.f64 n n) (.f64 (cos.f64 (.f64 1/2 (.f64 K m))) (.f64 K K))) (cos.f64 (.f64 1/2 (.f64 K m)))))
(fma.f64 -1/2 (.f64 K (.f64 (sin.f64 (.f64 K (.f64 m 1/2))) n)) (fma.f64 -1/8 (.f64 (cos.f64 (.f64 K (.f64 m 1/2))) (.f64 (.f64 n n) (.f64 K K))) (cos.f64 (.f64 K (.f64 m 1/2)))))
(fma.f64 -1/2 (.f64 K (.f64 (sin.f64 (.f64 K (.f64 m 1/2))) n)) (.f64 (+.f64 (.f64 -1/8 (.f64 (.f64 (.f64 n n) K) K)) 1) (cos.f64 (.f64 K (*.f64 m 1/2)))))
(+.f64 (.f64 1/48 (.f64 (pow.f64 n 3) (.f64 (pow.f64 K 3) (sin.f64 (.f64 1/2 (.f64 K m)))))) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (.f64 1/2 (.f64 K m)))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (pow.f64 K 2) (cos.f64 (.f64 1/2 (.f64 K m)))))) (cos.f64 (.f64 1/2 (*.f64 K m))))))
(fma.f64 1/48 (.f64 (pow.f64 n 3) (.f64 (sin.f64 (.f64 1/2 (.f64 K m))) (pow.f64 K 3))) (fma.f64 -1/2 (.f64 n (.f64 K (sin.f64 (.f64 1/2 (.f64 K m))))) (fma.f64 -1/8 (.f64 (.f64 n n) (.f64 (cos.f64 (.f64 1/2 (.f64 K m))) (.f64 K K))) (cos.f64 (.f64 1/2 (.f64 K m))))))
(fma.f64 1/48 (.f64 (sin.f64 (.f64 K (.f64 m 1/2))) (.f64 (pow.f64 n 3) (pow.f64 K 3))) (fma.f64 -1/2 (.f64 K (.f64 (sin.f64 (.f64 K (.f64 m 1/2))) n)) (fma.f64 -1/8 (.f64 (cos.f64 (.f64 K (.f64 m 1/2))) (.f64 (.f64 n n) (.f64 K K))) (cos.f64 (.f64 K (.f64 m 1/2))))))
(+.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 (.f64 (.f64 n n) K) K)) 1) (cos.f64 (.f64 K (.f64 m 1/2)))) (.f64 (sin.f64 (.f64 K (.f64 m 1/2))) (+.f64 (.f64 -1/2 (.f64 K n)) (.f64 1/48 (.f64 (pow.f64 n 3) (pow.f64 K 3))))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))
(cos.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))
(cos.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))
(cos.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))
(cos.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 1/2 (.f64 K n)))
(cos.f64 (.f64 n (.f64 1/2 K)))
(+.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (*.f64 K m))))
(+.f64 (cos.f64 (.f64 1/2 (.f64 K n))) (.f64 -1/2 (.f64 (.f64 K m) (sin.f64 (.f64 1/2 (*.f64 K n))))))
(fma.f64 -1/2 (.f64 K (.f64 m (sin.f64 (.f64 1/2 (.f64 K n))))) (cos.f64 (.f64 1/2 (.f64 K n))))
(fma.f64 -1/2 (.f64 K (.f64 m (sin.f64 (.f64 n (.f64 1/2 K))))) (cos.f64 (.f64 n (.f64 1/2 K))))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (+.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (.f64 K m)))))
(fma.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 (.f64 K n))) (.f64 (.f64 K K) (.f64 m m))) (+.f64 (cos.f64 (.f64 1/2 (.f64 K n))) (.f64 -1/2 (.f64 (.f64 K m) (sin.f64 (.f64 1/2 (*.f64 K n)))))))
(fma.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 (.f64 K n))) (.f64 K (.f64 K (.f64 m m)))) (fma.f64 -1/2 (.f64 K (.f64 m (sin.f64 (.f64 1/2 (.f64 K n))))) (cos.f64 (.f64 1/2 (.f64 K n)))))
(+.f64 (.f64 (.f64 (sin.f64 (.f64 n (.f64 1/2 K))) (.f64 K -1/2)) m) (.f64 (+.f64 (.f64 -1/8 (.f64 K (.f64 K (.f64 m m)))) 1) (cos.f64 (.f64 n (.f64 1/2 K)))))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (+.f64 (.f64 1/48 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (.f64 (pow.f64 K 3) (pow.f64 m 3)))) (+.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (*.f64 K m))))))
(fma.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 (.f64 K n))) (.f64 (.f64 K K) (.f64 m m))) (fma.f64 1/48 (.f64 (sin.f64 (.f64 1/2 (.f64 K n))) (.f64 (pow.f64 K 3) (pow.f64 m 3))) (+.f64 (cos.f64 (.f64 1/2 (.f64 K n))) (.f64 -1/2 (.f64 (.f64 K m) (sin.f64 (.f64 1/2 (*.f64 K n))))))))
(fma.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 (.f64 K n))) (.f64 K (.f64 K (.f64 m m)))) (fma.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (pow.f64 m 3) (sin.f64 (.f64 1/2 (.f64 K n))))) (fma.f64 -1/2 (.f64 K (.f64 m (sin.f64 (.f64 1/2 (.f64 K n))))) (cos.f64 (.f64 1/2 (.f64 K n))))))
(+.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 K (.f64 K (.f64 m m)))) 1) (cos.f64 (.f64 n (.f64 1/2 K)))) (.f64 (sin.f64 (.f64 n (.f64 1/2 K))) (+.f64 (.f64 -1/2 (.f64 K m)) (.f64 1/48 (.f64 (pow.f64 K 3) (pow.f64 m 3))))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))
(cos.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))
(cos.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))
(cos.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))
(cos.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))
1
(+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2))))
(+.f64 1 (.f64 -1/8 (.f64 (*.f64 K K) (pow.f64 (+.f64 m n) 2))))
(fma.f64 -1/8 (.f64 K (.f64 K (pow.f64 (+.f64 m n) 2))) 1)
(fma.f64 -1/8 (.f64 (.f64 K K) (pow.f64 (+.f64 m n) 2)) 1)
(+.f64 1 (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 (+.f64 n m) 4))) (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))))
(+.f64 1 (fma.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 (+.f64 m n) 4)) (.f64 -1/8 (.f64 (.f64 K K) (pow.f64 (+.f64 m n) 2)))))
(+.f64 1 (fma.f64 -1/8 (.f64 K (.f64 K (pow.f64 (+.f64 m n) 2))) (.f64 (pow.f64 K 4) (.f64 (pow.f64 (+.f64 m n) 4) 1/384))))
(+.f64 1 (fma.f64 -1/8 (.f64 (.f64 K K) (pow.f64 (+.f64 m n) 2)) (.f64 (pow.f64 (+.f64 m n) 4) (.f64 1/384 (pow.f64 K 4)))))
(+.f64 1 (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 (+.f64 n m) 4))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2))) (.f64 -1/46080 (.f64 (pow.f64 K 6) (pow.f64 (+.f64 n m) 6))))))
(+.f64 1 (fma.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 (+.f64 m n) 4)) (fma.f64 -1/8 (.f64 (.f64 K K) (pow.f64 (+.f64 m n) 2)) (.f64 -1/46080 (*.f64 (pow.f64 K 6) (pow.f64 (+.f64 m n) 6))))))
(+.f64 1 (fma.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 (+.f64 m n) 4)) (fma.f64 -1/8 (.f64 K (.f64 K (pow.f64 (+.f64 m n) 2))) (.f64 (pow.f64 K 6) (*.f64 (pow.f64 (+.f64 m n) 6) -1/46080)))))
(+.f64 1 (fma.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 (+.f64 m n) 4)) (fma.f64 -1/8 (.f64 (.f64 K K) (pow.f64 (+.f64 m n) 2)) (.f64 (pow.f64 K 6) (*.f64 (pow.f64 (+.f64 m n) 6) -1/46080)))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))
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1
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(+.f64 (fma.f64 -1/8 (.f64 K (.f64 K (pow.f64 (+.f64 m n) 2))) 1) (fma.f64 -1/48 (.f64 (pow.f64 (+.f64 m n) 3) (.f64 (pow.f64 K 3) M)) (.f64 1/2 (.f64 (+.f64 m n) (*.f64 K M)))))
(+.f64 (fma.f64 -1/8 (.f64 (.f64 K K) (pow.f64 (+.f64 m n) 2)) 1) (.f64 M (fma.f64 (.f64 (pow.f64 K 3) -1/48) (pow.f64 (+.f64 m n) 3) (.f64 K (.f64 (+.f64 m n) 1/2)))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M) (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))))
(fma.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) M (cos.f64 (.f64 1/2 (.f64 K (+.f64 m n)))))
(fma.f64 (sin.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) M (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M) (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))))
(fma.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) M (cos.f64 (.f64 1/2 (.f64 K (+.f64 m n)))))
(fma.f64 (sin.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) M (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M) (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))))
(fma.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) M (cos.f64 (.f64 1/2 (.f64 K (+.f64 m n)))))
(fma.f64 (sin.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) M (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M) (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))))
(fma.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) M (cos.f64 (.f64 1/2 (.f64 K (+.f64 m n)))))
(fma.f64 (sin.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) M (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M) (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))))
(fma.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) M (cos.f64 (.f64 1/2 (.f64 K (+.f64 m n)))))
(fma.f64 (sin.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) M (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M) (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))))
(fma.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) M (cos.f64 (.f64 1/2 (.f64 K (+.f64 m n)))))
(fma.f64 (sin.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) M (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M) (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))))
(fma.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) M (cos.f64 (.f64 1/2 (.f64 K (+.f64 m n)))))
(fma.f64 (sin.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) M (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M) (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))))
(fma.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) M (cos.f64 (.f64 1/2 (.f64 K (+.f64 m n)))))
(fma.f64 (sin.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) M (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2))))

prune1.1s (12.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	224	1	225
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	226	5	231

Error

0.8b

Counts

231 → 5

Alt Table

Status	Error	Program
	15.4b	(.f64 (cos.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)) 3)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	15.4b	(.f64 (cos.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)) 2) (cbrt.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	15.5b	(.f64 (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)) 2)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
▶	15.2b	(.f64 (fma.f64 M (sin.f64 (.f64 (+.f64 n m) (.f64 K 1/2))) (log.f64 (exp.f64 (cos.f64 (.f64 (+.f64 n m) (*.f64 K 1/2)))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
✓	1.1b	(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))

Compiler

Compiled 10872 to 5838 computations (46.3% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 M (sin.f64 (.f64 (+.f64 n m) (.f64 K 1/2))) (log.f64 (exp.f64 (cos.f64 (.f64 (+.f64 n m) (.f64 K 1/2))))))
✓	0.4b	(log.f64 (exp.f64 (cos.f64 (.f64 (+.f64 n m) (.f64 K 1/2)))))
	37.5b	(sin.f64 (.f64 (+.f64 n m) (.f64 K 1/2)))
	38.0b	(cos.f64 (.f64 (+.f64 n m) (.f64 K 1/2)))

series8.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	n	@	0	(log.f64 (exp.f64 (cos.f64 (.f64 (+.f64 n m) (.f64 K 1/2)))))
0.0ms	n	@	0	(fma.f64 M (sin.f64 (.f64 (+.f64 n m) (.f64 K 1/2))) (log.f64 (exp.f64 (cos.f64 (.f64 (+.f64 n m) (.f64 K 1/2))))))
0.0ms	m	@	0	(fma.f64 M (sin.f64 (.f64 (+.f64 n m) (.f64 K 1/2))) (log.f64 (exp.f64 (cos.f64 (.f64 (+.f64 n m) (.f64 K 1/2))))))
0.0ms	m	@	0	(log.f64 (exp.f64 (cos.f64 (.f64 (+.f64 n m) (.f64 K 1/2)))))
0.0ms	n	@	-inf	(fma.f64 M (sin.f64 (.f64 (+.f64 n m) (.f64 K 1/2))) (log.f64 (exp.f64 (cos.f64 (.f64 (+.f64 n m) (.f64 K 1/2))))))

rewrite51.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

880×	`prod-diff_binary64`
138×	`add-sqr-sqrt_binary64`
136×	`pow1_binary64`
135×	`*-un-lft-identity_binary64`
129×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	39
1	272	39
2	3367	39

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

Outputs

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

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

simplify76.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

524×	`*-commutative_binary64`
345×	`associate-+l+_binary64`
278×	`associate-+r+_binary64`
233×	`distribute-rgt-in_binary64`
227×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	166	2409
1	513	2360
2	1748	2294
3	4876	2294

Stop Event

1×	node limit

Counts

127 → 98

Calls

Call 1

Inputs
(cos.f64 (.f64 1/2 (.f64 K m)))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (.f64 1/2 (.f64 K m)))))) (cos.f64 (.f64 1/2 (*.f64 K m))))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (.f64 1/2 (.f64 K m)))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (pow.f64 K 2) (cos.f64 (.f64 1/2 (.f64 K m)))))) (cos.f64 (.f64 1/2 (.f64 K m)))))
(+.f64 (.f64 1/48 (.f64 (pow.f64 n 3) (.f64 (pow.f64 K 3) (sin.f64 (.f64 1/2 (.f64 K m)))))) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (.f64 1/2 (.f64 K m)))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (pow.f64 K 2) (cos.f64 (.f64 1/2 (.f64 K m)))))) (cos.f64 (.f64 1/2 (*.f64 K m))))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))))
(cos.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))))
(cos.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))))
(cos.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))))
(cos.f64 (.f64 1/2 (.f64 n K)))
(+.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (*.f64 K m))))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (+.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (.f64 K m)))))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (+.f64 (.f64 1/48 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (.f64 (pow.f64 K 3) (pow.f64 m 3)))) (+.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (*.f64 K m))))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))))
(cos.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))))
(cos.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))))
(cos.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))))
1
(+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2))))
(+.f64 1 (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 (+.f64 n m) 4))) (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))))
(+.f64 1 (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 (+.f64 n m) 4))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2))) (.f64 -1/46080 (.f64 (pow.f64 K 6) (pow.f64 (+.f64 n m) 6))))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M) (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) (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))))
(.f64 (sin.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))) 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) (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 (sin.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))) 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) (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 m))) M) (cos.f64 (.f64 1/2 (*.f64 K m))))
(+.f64 (.f64 n (-.f64 (.f64 1/2 (.f64 K (.f64 (cos.f64 (.f64 1/2 (.f64 K m))) M))) (.f64 1/2 (.f64 K (sin.f64 (.f64 1/2 (.f64 K m))))))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K m))) M) (cos.f64 (.f64 1/2 (*.f64 K m)))))
(+.f64 (.f64 n (-.f64 (.f64 1/2 (.f64 K (.f64 (cos.f64 (.f64 1/2 (.f64 K m))) M))) (.f64 1/2 (.f64 K (sin.f64 (.f64 1/2 (.f64 K m))))))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K m))) M) (+.f64 (cos.f64 (.f64 1/2 (.f64 K m))) (.f64 (pow.f64 n 2) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (sin.f64 (.f64 1/2 (.f64 K m))) M))) (.f64 -1/8 (.f64 (pow.f64 K 2) (cos.f64 (.f64 1/2 (*.f64 K m))))))))))
(+.f64 (.f64 n (-.f64 (.f64 1/2 (.f64 K (.f64 (cos.f64 (.f64 1/2 (.f64 K m))) M))) (.f64 1/2 (.f64 K (sin.f64 (.f64 1/2 (.f64 K m))))))) (+.f64 (.f64 (pow.f64 n 3) (-.f64 (.f64 -1/48 (.f64 (pow.f64 K 3) (.f64 (cos.f64 (.f64 1/2 (.f64 K m))) M))) (.f64 -1/48 (.f64 (pow.f64 K 3) (sin.f64 (.f64 1/2 (.f64 K m))))))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K m))) M) (+.f64 (cos.f64 (.f64 1/2 (.f64 K m))) (.f64 (pow.f64 n 2) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (sin.f64 (.f64 1/2 (.f64 K m))) M))) (.f64 -1/8 (.f64 (pow.f64 K 2) (cos.f64 (.f64 1/2 (*.f64 K 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) (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) (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))))
(+.f64 (cos.f64 (.f64 1/2 (.f64 K (-.f64 m (.f64 -1 n))))) (.f64 (sin.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n))))) M))
(+.f64 (cos.f64 (.f64 1/2 (.f64 K (-.f64 m (.f64 -1 n))))) (.f64 (sin.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n))))) M))
(+.f64 (cos.f64 (.f64 1/2 (.f64 K (-.f64 m (.f64 -1 n))))) (.f64 (sin.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n))))) M))
(+.f64 (cos.f64 (.f64 1/2 (.f64 K (-.f64 m (.f64 -1 n))))) (.f64 (sin.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n))))) M))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) M) (cos.f64 (.f64 1/2 (*.f64 n K))))
(+.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) M) (.f64 (-.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 K M))) (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 (*.f64 n K))) K))) m)))
(+.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) M) (+.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (.f64 (pow.f64 K 2) M))) (.f64 -1/8 (.f64 (pow.f64 K 2) (cos.f64 (.f64 1/2 (.f64 n K)))))) (pow.f64 m 2)) (.f64 (-.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 K M))) (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 (*.f64 n K))) K))) m))))
(+.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) M) (+.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (.f64 (pow.f64 K 2) M))) (.f64 -1/8 (.f64 (pow.f64 K 2) (cos.f64 (.f64 1/2 (.f64 n K)))))) (pow.f64 m 2)) (+.f64 (.f64 (-.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 K M))) (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) K))) m) (.f64 (-.f64 (.f64 -1/48 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 (pow.f64 K 3) M))) (.f64 -1/48 (.f64 (sin.f64 (.f64 1/2 (*.f64 n K))) (pow.f64 K 3)))) (pow.f64 m 3))))))
(+.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) (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) (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))))
(+.f64 (cos.f64 (.f64 1/2 (.f64 K (-.f64 n (.f64 -1 m))))) (.f64 (sin.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m))))) M))
(+.f64 (cos.f64 (.f64 1/2 (.f64 K (-.f64 n (.f64 -1 m))))) (.f64 (sin.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m))))) M))
(+.f64 (cos.f64 (.f64 1/2 (.f64 K (-.f64 n (.f64 -1 m))))) (.f64 (sin.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m))))) M))
(+.f64 (cos.f64 (.f64 1/2 (.f64 K (-.f64 n (.f64 -1 m))))) (.f64 (sin.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m))))) M))
1
(+.f64 1 (.f64 1/2 (.f64 K (*.f64 (+.f64 n m) M))))
(+.f64 1 (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2))) (.f64 1/2 (.f64 K (*.f64 (+.f64 n m) M)))))
(+.f64 1 (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2))) (+.f64 (.f64 1/2 (.f64 K (.f64 (+.f64 n m) M))) (.f64 -1/48 (.f64 (pow.f64 K 3) (.f64 (pow.f64 (+.f64 n m) 3) 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) (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) (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) (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) (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))))

Outputs
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (.f64 1/2 (.f64 K m)))))) (cos.f64 (.f64 1/2 (*.f64 K m))))
(fma.f64 -1/2 (.f64 n (.f64 K (sin.f64 (.f64 1/2 (.f64 K m))))) (cos.f64 (.f64 1/2 (.f64 K m))))
(fma.f64 -1/2 (.f64 (sin.f64 (.f64 K (.f64 m 1/2))) (.f64 K n)) (cos.f64 (.f64 K (.f64 m 1/2))))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (.f64 1/2 (.f64 K m)))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (pow.f64 K 2) (cos.f64 (.f64 1/2 (.f64 K m)))))) (cos.f64 (.f64 1/2 (.f64 K m)))))
(fma.f64 -1/2 (.f64 n (.f64 K (sin.f64 (.f64 1/2 (.f64 K m))))) (fma.f64 -1/8 (.f64 (.f64 n n) (.f64 (cos.f64 (.f64 1/2 (.f64 K m))) (.f64 K K))) (cos.f64 (.f64 1/2 (.f64 K m)))))
(fma.f64 -1/2 (.f64 (sin.f64 (.f64 K (.f64 m 1/2))) (.f64 K n)) (fma.f64 -1/8 (.f64 (cos.f64 (.f64 K (.f64 m 1/2))) (.f64 (.f64 K n) (.f64 K n))) (cos.f64 (.f64 K (.f64 m 1/2)))))
(fma.f64 -1/2 (.f64 n (.f64 K (sin.f64 (.f64 1/2 (.f64 K m))))) (.f64 (+.f64 (.f64 (.f64 K K) (.f64 n (.f64 n -1/8))) 1) (cos.f64 (.f64 1/2 (*.f64 K m)))))
(+.f64 (.f64 1/48 (.f64 (pow.f64 n 3) (.f64 (pow.f64 K 3) (sin.f64 (.f64 1/2 (.f64 K m)))))) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (.f64 1/2 (.f64 K m)))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (pow.f64 K 2) (cos.f64 (.f64 1/2 (.f64 K m)))))) (cos.f64 (.f64 1/2 (*.f64 K m))))))
(fma.f64 1/48 (.f64 (pow.f64 n 3) (.f64 (sin.f64 (.f64 1/2 (.f64 K m))) (pow.f64 K 3))) (fma.f64 -1/2 (.f64 n (.f64 K (sin.f64 (.f64 1/2 (.f64 K m))))) (fma.f64 -1/8 (.f64 (.f64 n n) (.f64 (cos.f64 (.f64 1/2 (.f64 K m))) (.f64 K K))) (cos.f64 (.f64 1/2 (.f64 K m))))))
(fma.f64 1/48 (.f64 (sin.f64 (.f64 K (.f64 m 1/2))) (.f64 (pow.f64 n 3) (pow.f64 K 3))) (fma.f64 -1/2 (.f64 (sin.f64 (.f64 K (.f64 m 1/2))) (.f64 K n)) (fma.f64 -1/8 (.f64 (cos.f64 (.f64 K (.f64 m 1/2))) (.f64 (.f64 K n) (.f64 K n))) (cos.f64 (.f64 K (.f64 m 1/2))))))
(+.f64 (.f64 (+.f64 (.f64 (.f64 K K) (.f64 n (.f64 n -1/8))) 1) (cos.f64 (.f64 1/2 (.f64 K m)))) (.f64 (sin.f64 (.f64 1/2 (.f64 K m))) (+.f64 (.f64 -1/2 (.f64 K n)) (.f64 1/48 (.f64 (pow.f64 n 3) (pow.f64 K 3))))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 (+.f64 m n) (.f64 1/2 K)))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 (+.f64 m n) (.f64 1/2 K)))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 (+.f64 m n) (.f64 1/2 K)))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 (+.f64 m n) (.f64 1/2 K)))
(cos.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 (+.f64 m n) (.f64 1/2 K)))
(cos.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 (+.f64 m n) (.f64 1/2 K)))
(cos.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 (+.f64 m n) (.f64 1/2 K)))
(cos.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 (+.f64 m n) (.f64 1/2 K)))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 1/2 (.f64 K n)))
(+.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (*.f64 K m))))
(+.f64 (cos.f64 (.f64 1/2 (.f64 K n))) (.f64 -1/2 (.f64 (.f64 K m) (sin.f64 (.f64 1/2 (*.f64 K n))))))
(fma.f64 -1/2 (.f64 (.f64 K m) (sin.f64 (.f64 1/2 (.f64 K n)))) (cos.f64 (.f64 1/2 (.f64 K n))))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (+.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (.f64 K m)))))
(fma.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 (.f64 K n))) (.f64 (.f64 K K) (.f64 m m))) (+.f64 (cos.f64 (.f64 1/2 (.f64 K n))) (.f64 -1/2 (.f64 (.f64 K m) (sin.f64 (.f64 1/2 (*.f64 K n)))))))
(fma.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 (.f64 K n))) (.f64 K (.f64 K (.f64 m m)))) (fma.f64 -1/2 (.f64 (.f64 K m) (sin.f64 (.f64 1/2 (.f64 K n)))) (cos.f64 (.f64 1/2 (.f64 K n)))))
(+.f64 (.f64 m (.f64 (sin.f64 (.f64 1/2 (.f64 K n))) (.f64 K -1/2))) (.f64 (+.f64 (.f64 -1/8 (.f64 (.f64 K m) (.f64 K m))) 1) (cos.f64 (.f64 1/2 (.f64 K n)))))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (+.f64 (.f64 1/48 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (.f64 (pow.f64 K 3) (pow.f64 m 3)))) (+.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 -1/2 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (*.f64 K m))))))
(fma.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 (.f64 K n))) (.f64 (.f64 K K) (.f64 m m))) (fma.f64 1/48 (.f64 (sin.f64 (.f64 1/2 (.f64 K n))) (.f64 (pow.f64 K 3) (pow.f64 m 3))) (+.f64 (cos.f64 (.f64 1/2 (.f64 K n))) (.f64 -1/2 (.f64 (.f64 K m) (sin.f64 (.f64 1/2 (*.f64 K n))))))))
(fma.f64 -1/8 (.f64 (cos.f64 (.f64 1/2 (.f64 K n))) (.f64 K (.f64 K (.f64 m m)))) (fma.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (pow.f64 m 3) (sin.f64 (.f64 1/2 (.f64 K n))))) (fma.f64 -1/2 (.f64 (.f64 K m) (sin.f64 (.f64 1/2 (.f64 K n)))) (cos.f64 (.f64 1/2 (.f64 K n))))))
(+.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 (.f64 K m) (.f64 K m))) 1) (cos.f64 (.f64 1/2 (.f64 K n)))) (.f64 (sin.f64 (.f64 1/2 (.f64 K n))) (+.f64 (.f64 (.f64 K m) -1/2) (.f64 1/48 (.f64 (pow.f64 K 3) (pow.f64 m 3))))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 (+.f64 m n) (.f64 1/2 K)))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 (+.f64 m n) (.f64 1/2 K)))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 (+.f64 m n) (.f64 1/2 K)))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 (+.f64 m n) (.f64 1/2 K)))
(cos.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 (+.f64 m n) (.f64 1/2 K)))
(cos.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 (+.f64 m n) (.f64 1/2 K)))
(cos.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 (+.f64 m n) (.f64 1/2 K)))
(cos.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 (+.f64 m n) (.f64 1/2 K)))
1
(+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2))))
(+.f64 1 (.f64 (.f64 -1/8 (*.f64 K K)) (pow.f64 (+.f64 m n) 2)))
(fma.f64 (.f64 -1/8 (.f64 K K)) (pow.f64 (+.f64 m n) 2) 1)
(fma.f64 (.f64 K (.f64 K -1/8)) (pow.f64 (+.f64 m n) 2) 1)
(+.f64 1 (+.f64 (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 (+.f64 n m) 4))) (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))))
(+.f64 1 (fma.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 (+.f64 m n) 4)) (.f64 (.f64 -1/8 (.f64 K K)) (pow.f64 (+.f64 m n) 2))))
(+.f64 (fma.f64 (.f64 -1/8 (.f64 K K)) (pow.f64 (+.f64 m n) 2) 1) (.f64 (pow.f64 (+.f64 m n) 4) (.f64 1/384 (pow.f64 K 4))))
(+.f64 1 (fma.f64 (.f64 K (.f64 K -1/8)) (pow.f64 (+.f64 m n) 2) (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 (+.f64 m n) 4)))))
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(+.f64 (fma.f64 m (.f64 1/2 (-.f64 (.f64 K (.f64 M (cos.f64 (.f64 1/2 (.f64 K n))))) (.f64 K (sin.f64 (.f64 1/2 (.f64 K n)))))) (.f64 -1/8 (.f64 (fma.f64 (sin.f64 (.f64 1/2 (.f64 K n))) (.f64 K (.f64 K M)) (.f64 (.f64 K K) (cos.f64 (.f64 1/2 (.f64 K n))))) (.f64 m m)))) (fma.f64 (sin.f64 (.f64 1/2 (.f64 K n))) M (cos.f64 (.f64 1/2 (*.f64 K n)))))
(+.f64 (cos.f64 (.f64 1/2 (.f64 K n))) (fma.f64 (sin.f64 (.f64 1/2 (.f64 K n))) M (.f64 m (+.f64 (.f64 m (.f64 -1/8 (.f64 (.f64 K K) (fma.f64 (sin.f64 (.f64 1/2 (.f64 K n))) M (cos.f64 (.f64 1/2 (.f64 K n))))))) (.f64 1/2 (.f64 K (-.f64 (.f64 (cos.f64 (.f64 1/2 (.f64 K n))) M) (sin.f64 (.f64 1/2 (.f64 K n))))))))))
(+.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) M) (+.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) (.f64 (pow.f64 K 2) M))) (.f64 -1/8 (.f64 (pow.f64 K 2) (cos.f64 (.f64 1/2 (.f64 n K)))))) (pow.f64 m 2)) (+.f64 (.f64 (-.f64 (.f64 1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 K M))) (.f64 1/2 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) K))) m) (.f64 (-.f64 (.f64 -1/48 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 (pow.f64 K 3) M))) (.f64 -1/48 (.f64 (sin.f64 (.f64 1/2 (*.f64 n K))) (pow.f64 K 3)))) (pow.f64 m 3))))))
(+.f64 (cos.f64 (.f64 1/2 (.f64 K n))) (fma.f64 (sin.f64 (.f64 1/2 (.f64 K n))) M (fma.f64 (.f64 -1/8 (+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K n))) (.f64 (.f64 K K) M)) (.f64 (.f64 K K) (cos.f64 (.f64 1/2 (.f64 K n)))))) (.f64 m m) (fma.f64 (.f64 1/2 (-.f64 (.f64 (cos.f64 (.f64 1/2 (.f64 K n))) (.f64 K M)) (.f64 K (sin.f64 (.f64 1/2 (.f64 K n)))))) m (.f64 (pow.f64 m 3) (.f64 -1/48 (-.f64 (.f64 (.f64 (cos.f64 (.f64 1/2 (.f64 K n))) (pow.f64 K 3)) M) (.f64 (pow.f64 K 3) (sin.f64 (.f64 1/2 (.f64 K n)))))))))))
(+.f64 (fma.f64 (.f64 m m) (.f64 -1/8 (fma.f64 (sin.f64 (.f64 1/2 (.f64 K n))) (.f64 K (.f64 K M)) (.f64 (.f64 K K) (cos.f64 (.f64 1/2 (.f64 K n)))))) (fma.f64 m (.f64 1/2 (-.f64 (.f64 K (.f64 M (cos.f64 (.f64 1/2 (.f64 K n))))) (.f64 K (sin.f64 (.f64 1/2 (.f64 K n)))))) (.f64 (.f64 (pow.f64 m 3) -1/48) (fma.f64 (cos.f64 (.f64 1/2 (.f64 K n))) (.f64 (pow.f64 K 3) M) (neg.f64 (.f64 (pow.f64 K 3) (sin.f64 (.f64 1/2 (.f64 K n))))))))) (fma.f64 (sin.f64 (.f64 1/2 (.f64 K n))) M (cos.f64 (.f64 1/2 (.f64 K n)))))
(+.f64 (cos.f64 (.f64 1/2 (.f64 K n))) (fma.f64 (sin.f64 (.f64 1/2 (.f64 K n))) M (fma.f64 (.f64 m m) (.f64 -1/8 (.f64 (.f64 K K) (fma.f64 (sin.f64 (.f64 1/2 (.f64 K n))) M (cos.f64 (.f64 1/2 (.f64 K n)))))) (fma.f64 m (.f64 1/2 (.f64 K (-.f64 (.f64 (cos.f64 (.f64 1/2 (.f64 K n))) M) (sin.f64 (.f64 1/2 (.f64 K n)))))) (.f64 (pow.f64 m 3) (.f64 -1/48 (.f64 (pow.f64 K 3) (-.f64 (.f64 (cos.f64 (.f64 1/2 (.f64 K n))) M) (sin.f64 (.f64 1/2 (*.f64 K n)))))))))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M) (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))))
(fma.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) M (cos.f64 (.f64 1/2 (.f64 K (+.f64 m n)))))
(fma.f64 M (sin.f64 (.f64 (+.f64 m n) (.f64 1/2 K))) (cos.f64 (.f64 (+.f64 m n) (.f64 1/2 K))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M) (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))))
(fma.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) M (cos.f64 (.f64 1/2 (.f64 K (+.f64 m n)))))
(fma.f64 M (sin.f64 (.f64 (+.f64 m n) (.f64 1/2 K))) (cos.f64 (.f64 (+.f64 m n) (.f64 1/2 K))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M) (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))))
(fma.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) M (cos.f64 (.f64 1/2 (.f64 K (+.f64 m n)))))
(fma.f64 M (sin.f64 (.f64 (+.f64 m n) (.f64 1/2 K))) (cos.f64 (.f64 (+.f64 m n) (.f64 1/2 K))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M) (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))))
(fma.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) M (cos.f64 (.f64 1/2 (.f64 K (+.f64 m n)))))
(fma.f64 M (sin.f64 (.f64 (+.f64 m n) (.f64 1/2 K))) (cos.f64 (.f64 (+.f64 m n) (.f64 1/2 K))))
(+.f64 (cos.f64 (.f64 1/2 (.f64 K (-.f64 n (.f64 -1 m))))) (.f64 (sin.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m))))) M))
(fma.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) M (cos.f64 (.f64 1/2 (.f64 K (+.f64 m n)))))
(fma.f64 M (sin.f64 (.f64 (+.f64 m n) (.f64 1/2 K))) (cos.f64 (.f64 (+.f64 m n) (.f64 1/2 K))))
(+.f64 (cos.f64 (.f64 1/2 (.f64 K (-.f64 n (.f64 -1 m))))) (.f64 (sin.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m))))) M))
(fma.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) M (cos.f64 (.f64 1/2 (.f64 K (+.f64 m n)))))
(fma.f64 M (sin.f64 (.f64 (+.f64 m n) (.f64 1/2 K))) (cos.f64 (.f64 (+.f64 m n) (.f64 1/2 K))))
(+.f64 (cos.f64 (.f64 1/2 (.f64 K (-.f64 n (.f64 -1 m))))) (.f64 (sin.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m))))) M))
(fma.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) M (cos.f64 (.f64 1/2 (.f64 K (+.f64 m n)))))
(fma.f64 M (sin.f64 (.f64 (+.f64 m n) (.f64 1/2 K))) (cos.f64 (.f64 (+.f64 m n) (.f64 1/2 K))))
(+.f64 (cos.f64 (.f64 1/2 (.f64 K (-.f64 n (.f64 -1 m))))) (.f64 (sin.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m))))) M))
(fma.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) M (cos.f64 (.f64 1/2 (.f64 K (+.f64 m n)))))
(fma.f64 M (sin.f64 (.f64 (+.f64 m n) (.f64 1/2 K))) (cos.f64 (.f64 (+.f64 m n) (.f64 1/2 K))))
1
(+.f64 1 (.f64 1/2 (.f64 K (*.f64 (+.f64 n m) M))))
(+.f64 1 (.f64 1/2 (.f64 K (*.f64 (+.f64 m n) M))))
(fma.f64 1/2 (.f64 (+.f64 m n) (.f64 K M)) 1)
(fma.f64 1/2 (.f64 K (.f64 (+.f64 m n) M)) 1)
(+.f64 1 (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2))) (.f64 1/2 (.f64 K (*.f64 (+.f64 n m) M)))))
(+.f64 1 (fma.f64 -1/8 (.f64 (.f64 K K) (pow.f64 (+.f64 m n) 2)) (.f64 1/2 (.f64 K (*.f64 (+.f64 m n) M)))))
(+.f64 (fma.f64 (.f64 -1/8 (.f64 K K)) (pow.f64 (+.f64 m n) 2) 1) (.f64 (.f64 (+.f64 m n) (*.f64 1/2 K)) M))
(+.f64 1 (.f64 (+.f64 m n) (+.f64 (.f64 (+.f64 m n) (.f64 K (.f64 K -1/8))) (.f64 M (.f64 1/2 K)))))
(+.f64 1 (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2))) (+.f64 (.f64 1/2 (.f64 K (.f64 (+.f64 n m) M))) (.f64 -1/48 (.f64 (pow.f64 K 3) (.f64 (pow.f64 (+.f64 n m) 3) M))))))
(+.f64 1 (fma.f64 -1/8 (.f64 (.f64 K K) (pow.f64 (+.f64 m n) 2)) (fma.f64 1/2 (.f64 K (.f64 (+.f64 m n) M)) (.f64 -1/48 (.f64 (pow.f64 K 3) (*.f64 M (pow.f64 (+.f64 m n) 3)))))))
(+.f64 (fma.f64 (.f64 -1/8 (.f64 K K)) (pow.f64 (+.f64 m n) 2) 1) (fma.f64 -1/48 (.f64 (.f64 (pow.f64 K 3) M) (pow.f64 (+.f64 m n) 3)) (.f64 (.f64 (+.f64 m n) (*.f64 1/2 K)) M)))
(+.f64 1 (fma.f64 -1/8 (.f64 K (.f64 K (pow.f64 (+.f64 m n) 2))) (.f64 M (+.f64 (.f64 (+.f64 m n) (.f64 1/2 K)) (.f64 -1/48 (*.f64 (pow.f64 K 3) (pow.f64 (+.f64 m n) 3)))))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M) (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))))
(fma.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) M (cos.f64 (.f64 1/2 (.f64 K (+.f64 m n)))))
(fma.f64 M (sin.f64 (.f64 (+.f64 m n) (.f64 1/2 K))) (cos.f64 (.f64 (+.f64 m n) (.f64 1/2 K))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M) (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))))
(fma.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) M (cos.f64 (.f64 1/2 (.f64 K (+.f64 m n)))))
(fma.f64 M (sin.f64 (.f64 (+.f64 m n) (.f64 1/2 K))) (cos.f64 (.f64 (+.f64 m n) (.f64 1/2 K))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M) (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))))
(fma.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) M (cos.f64 (.f64 1/2 (.f64 K (+.f64 m n)))))
(fma.f64 M (sin.f64 (.f64 (+.f64 m n) (.f64 1/2 K))) (cos.f64 (.f64 (+.f64 m n) (.f64 1/2 K))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M) (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))))
(fma.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) M (cos.f64 (.f64 1/2 (.f64 K (+.f64 m n)))))
(fma.f64 M (sin.f64 (.f64 (+.f64 m n) (.f64 1/2 K))) (cos.f64 (.f64 (+.f64 m n) (.f64 1/2 K))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M) (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))))
(fma.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) M (cos.f64 (.f64 1/2 (.f64 K (+.f64 m n)))))
(fma.f64 M (sin.f64 (.f64 (+.f64 m n) (.f64 1/2 K))) (cos.f64 (.f64 (+.f64 m n) (.f64 1/2 K))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M) (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))))
(fma.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) M (cos.f64 (.f64 1/2 (.f64 K (+.f64 m n)))))
(fma.f64 M (sin.f64 (.f64 (+.f64 m n) (.f64 1/2 K))) (cos.f64 (.f64 (+.f64 m n) (.f64 1/2 K))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M) (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))))
(fma.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) M (cos.f64 (.f64 1/2 (.f64 K (+.f64 m n)))))
(fma.f64 M (sin.f64 (.f64 (+.f64 m n) (.f64 1/2 K))) (cos.f64 (.f64 (+.f64 m n) (.f64 1/2 K))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M) (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))))
(fma.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) M (cos.f64 (.f64 1/2 (.f64 K (+.f64 m n)))))
(fma.f64 M (sin.f64 (.f64 (+.f64 m n) (.f64 1/2 K))) (cos.f64 (.f64 (+.f64 m n) (.f64 1/2 K))))

prune752.0ms (8.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	188	1	189
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	189	5	194

Error

0.8b

Counts

194 → 5

Alt Table

Status	Error	Program
	15.4b	(.f64 (cos.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)) 3)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	15.4b	(.f64 (cos.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)) 2) (cbrt.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	15.5b	(.f64 (sqrt.f64 (pow.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)) 2)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
	15.4b	(.f64 (fma.f64 M (sin.f64 (.f64 (+.f64 n m) (.f64 K 1/2))) (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 (+.f64 n m) (.f64 K 1/2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (.f64 (+.f64 n m) (*.f64 K 1/2)))))))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
✓	1.1b	(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))

Compiler

Compiled 9445 to 5282 computations (44.1% saved)

regimes51.0ms (0.6%)

Accuracy

Total -14.9b remaining (-1387.3%)

Threshold costs -14.9b (-1387.3%)

Counts

10 → 1

Calls

Call 1

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

Results

6.0ms	1.1b	`K`
7.0ms	1.1b	`m`
6.0ms	1.1b	`n`
6.0ms	1.1b	`M`
13.0ms	1.1b	`l`
3.0ms	1.1b	`(.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 402 to 230 computations (42.8% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative_binary64`
10×	`sub-neg_binary64`
7×	`*-commutative_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	31
1	28	31
2	45	31
3	60	31
4	69	31
5	72	31

Stop Event

1×

saturated

Calls

Call 1

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

Outputs

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

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

end22.0ms (0.3%)

Stop Event

1×

fuel

Remove

(sort m n)

Compiler

Compiled 100 to 72 computations (28% saved)

Details

analyze3.1s (35.7%)

sample2.1s (23.7%)

preprocess57.0ms (0.7%)

simplify52.0ms (0.6%)

prune4.0ms (0%)

localize16.0ms (0.2%)

series25.0ms (0.3%)

rewrite78.0ms (0.9%)

simplify74.0ms (0.9%)

prune706.0ms (8.1%)

localize15.0ms (0.2%)

prune225.0ms (2.6%)

localize30.0ms (0.3%)

series21.0ms (0.2%)

rewrite53.0ms (0.6%)

simplify67.0ms (0.8%)

prune1.1s (12.9%)

localize26.0ms (0.3%)

series8.0ms (0.1%)

rewrite51.0ms (0.6%)

simplify76.0ms (0.9%)

prune752.0ms (8.6%)

regimes51.0ms (0.6%)

simplify3.0ms (0%)

end22.0ms (0.3%)

Profiling