Details

analyze786.0ms (3.2%)

Algorithm

1×

Search

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

Compiler

Compiled 35 to 24 computations (31.4% saved)

sample3.2s (12.8%)

Results

2.4s	8135×	body	256	valid
464.0ms	72×	body	1024	valid
154.0ms	390×	body	256	infinite
58.0ms	113×	body	1024	infinite
28.0ms	76×	body	512	infinite
17.0ms	48×	body	512	valid
14.0ms	20×	body	2048	infinite
1.0ms	1×	body	2048	valid

Bogosity

preprocess43.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

1562×	`rational.json-simplify-47`
1510×	`rational.json-simplify-44`
1176×	`rational.json-simplify-49`
904×	`rational.json-simplify-35`
774×	`rational.json-simplify-46`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	156	979
1	382	979
2	748	979
3	1839	935
0	5	5
1	5	5

Stop Event

1×	unsound
1×	node limit

Calls

Call 1

Inputs
0
1
2
3
4

Outputs
0
1
2
1
3
4

Call 2

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

Outputs
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 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 (+.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 (+.f64 m n) 2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) l)))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 m (+.f64 K n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 K n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 K n))))))
(.f64 (cos.f64 (-.f64 (.f64 (+.f64 K n) (/.f64 m 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 (+.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 (+.f64 K n) 2)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 K n)) (-.f64 (pow.f64 (-.f64 (/.f64 (+.f64 K n) 2) M) 2) (neg.f64 l)))))
(.f64 (cos.f64 (-.f64 (.f64 m (/.f64 (+.f64 K n) 2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n K)) l) (pow.f64 (-.f64 (/.f64 (+.f64 K n) 2) M) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 n (+.f64 m K)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m K) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m K))))))
(.f64 (cos.f64 (-.f64 (.f64 (+.f64 K m) (/.f64 n 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 n (/.f64 (+.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 n (/.f64 (+.f64 K m) 2)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m K)) (-.f64 (pow.f64 (-.f64 (/.f64 (+.f64 K m) 2) M) 2) (neg.f64 l)))))
(.f64 (cos.f64 (-.f64 (.f64 n (/.f64 (+.f64 K m) 2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 K m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 K m) 2) M) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 M (+.f64 m n)) 2) K)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) K) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 M 2)) K)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (-.f64 l (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) K) 2))))))
(.f64 (cos.f64 (-.f64 (.f64 M (/.f64 (+.f64 m n) 2)) K)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (-.f64 l (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) K) 2))))))
(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 M 2)) K)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (-.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) K) 2) (neg.f64 l)))))
(.f64 (cos.f64 (-.f64 K (.f64 (+.f64 m n) (/.f64 M 2)))) (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 (+.f64 m n) (/.f64 l 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 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 (+.f64 m n) (/.f64 K 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 (+.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 (+.f64 m n) 2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) l)))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 M n)) 2) m)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 M n) 2) m) 2)) (-.f64 l (fabs.f64 (-.f64 M n))))))
(.f64 (cos.f64 (-.f64 (.f64 (+.f64 n M) (/.f64 K 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 K (/.f64 (+.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 K (/.f64 (+.f64 n M) 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 (+.f64 n l) (/.f64 K 2)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n l) 2) M) 2)) (-.f64 m (fabs.f64 (-.f64 l n))))))
(.f64 (cos.f64 (-.f64 (.f64 K (/.f64 (+.f64 n l) 2)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n l) 2) M) 2)) (-.f64 m (fabs.f64 (-.f64 l n))))))
(.f64 (cos.f64 (-.f64 (.f64 K (/.f64 (+.f64 n l) 2)) M)) (exp.f64 (-.f64 (neg.f64 (-.f64 m (fabs.f64 (-.f64 l n)))) (pow.f64 (-.f64 (/.f64 (+.f64 n l) 2) M) 2))))
(.f64 (cos.f64 (-.f64 M (.f64 K (/.f64 (+.f64 n l) 2)))) (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 (+.f64 m M) (/.f64 K 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 (+.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 (+.f64 m M) 2)) n)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m M)) (-.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m M) 2) n) 2) (neg.f64 l)))))
(.f64 (cos.f64 (-.f64 n (.f64 K (/.f64 (+.f64 m M) 2)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 M m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m M) 2) n) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m l)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m l) 2) M) 2)) (-.f64 n (fabs.f64 (-.f64 m l))))))
(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m l) (/.f64 K 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 (+.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 M (.f64 K (/.f64 (+.f64 m l) 2)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 l m)) 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 (+.f64 m n) (/.f64 K 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 (+.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 (+.f64 m n) 2)) 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 39 to 28 computations (28.2% saved)

simplify56.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2086×	`rational.json-simplify-35`
1624×	`rational.json-simplify-51`
1426×	`rational.json-simplify-43`
1086×	`rational.json-simplify-39`
404×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	89
1	53	89
2	101	89
3	233	85
4	1288	85
5	4390	85

Stop Event

1×	node limit

Counts

1 → 5

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

eval2.0ms (0%)

Compiler: Compiled 149 to 80 computations (46.3% saved)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	4	1	5
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	5	1	6

Error

17.5b

Counts

6 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.5b	(.f64 (cos.f64 (-.f64 (.f64 K (/.f64 (+.f64 m n) 2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))

Compiler

Compiled 33 to 22 computations (33.3% saved)

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 K (/.f64 (+.f64 m n) 2)) M)
✓	0.0b	(*.f64 K (/.f64 (+.f64 m n) 2))
✓	0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
✓	35.5b	(cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 m n) 2)) M))

Compiler

Compiled 135 to 58 computations (57% saved)

series70.0ms (0.3%)

Counts

4 → 168

Calls

42 calls:

Time	Variable		Point	Expression
59.0ms	n	@	-inf	(cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 m n) 2)) M))
1.0ms	K	@	-inf	(*.f64 K (/.f64 (+.f64 m n) 2))
1.0ms	m	@	0	(cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 m n) 2)) M))
1.0ms	K	@	0	(cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 m n) 2)) M))
1.0ms	M	@	0	(cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 m n) 2)) M))

rewrite199.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1356×	`bool.json-1`
1356×	`bool.json-2`
1308×	`rational.json-1`
1308×	`rational.json-2`
1308×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	98
1	148	98
2	395	98
3	862	98
4	1846	98
5	4420	98

Stop Event

1×	node limit

Counts

4 → 88

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) 1/2) (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) 4))) (.f64 2 (.f64 2 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x and (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x or (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 m n) 1/2)) M)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) 1/2) (.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) 4))) (.f64 2 (.f64 2 (.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x and (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2))))) (#(struct:change #<rule egg-rr> (2) ((x or (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 K (.f64 (+.f64 m n) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 K (.f64 (+.f64 m n) 1/4)) (.f64 K (.f64 (+.f64 m n) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 K (+.f64 m n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 K (.f64 (+.f64 m n) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 K (.f64 (+.f64 m n) 2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 K (.f64 (+.f64 m n) 2)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 K (.f64 (+.f64 m n) 2)))) (.f64 2 (.f64 2 (.f64 K (.f64 (+.f64 m n) 2))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 K (.f64 (+.f64 m n) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 K (.f64 (+.f64 m n) 1/2)) (.f64 K (.f64 (+.f64 m n) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 K (.f64 (+.f64 m n) 1/2)) (.f64 K (.f64 (+.f64 m n) 1/2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) (neg.f64 M))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) (+.f64 M -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 M) (.f64 K (.f64 (+.f64 m n) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) (+.f64 M -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M) 1/2) (.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 M (/.f64 (.f64 K (+.f64 m n)) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (+.f64 M (/.f64 (.f64 K (+.f64 m n)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (-.f64 (.f64 K (+.f64 m n)) (+.f64 M M)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 M (/.f64 (.f64 K (+.f64 m n)) -2)) -4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (+.f64 M (/.f64 (.f64 K (+.f64 m n)) -2))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 M (/.f64 (.f64 K (+.f64 m n)) -2)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M) -1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/2 (.f64 2 (+.f64 M (/.f64 (.f64 K (+.f64 m n)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 K (+.f64 m n)) (+.f64 M M)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 M (/.f64 (.f64 K (+.f64 m n)) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 M (/.f64 (.f64 K (+.f64 m n)) -2)) -4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 M (/.f64 (.f64 K (+.f64 m n)) -2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 M (/.f64 (.f64 K (+.f64 m n)) -2)) -4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 4 (+.f64 M (/.f64 (.f64 K (+.f64 m n)) -2))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 M (/.f64 (.f64 K (+.f64 m n)) -2)) -4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 4 (+.f64 M (/.f64 (.f64 K (+.f64 m n)) -2)))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 4 (+.f64 M (/.f64 (.f64 K (+.f64 m n)) -2)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 M (/.f64 (.f64 K (+.f64 m n)) -2)) -4))) (.f64 2 (.f64 2 (.f64 (+.f64 M (/.f64 (.f64 K (+.f64 m n)) -2)) -4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (.f64 4 (+.f64 M (/.f64 (.f64 K (+.f64 m n)) -2)))) (neg.f64 (.f64 4 (+.f64 M (/.f64 (.f64 K (+.f64 m n)) -2))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 M (/.f64 (.f64 K (+.f64 m n)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M) (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M) (-.f64 (.f64 K (*.f64 (+.f64 m n) 1/2)) M))))))

simplify648.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1756×	`rational.json-simplify-35`
1478×	`rational.json-simplify-48`
1110×	`rational.json-simplify-2`
880×	`rational.json-simplify-51`
760×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	285	8128
1	637	7892
2	1388	7864
3	2490	7822
4	4483	7822
5	5456	7822
6	7189	7822
7	7922	7822

Stop Event

1×	node limit

Counts

256 → 229

Calls

Call 1

Inputs
(cos.f64 (neg.f64 M))
(+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 K (*.f64 (sin.f64 (neg.f64 M)) (+.f64 n m)))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))) (.f64 -1/2 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (+.f64 n m))))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (sin.f64 (neg.f64 M)) (pow.f64 (+.f64 n m) 3)))) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))) (.f64 -1/2 (.f64 K (*.f64 (sin.f64 (neg.f64 M)) (+.f64 n m)))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (*.f64 K m))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (pow.f64 m 2)))) (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (pow.f64 m 2)))) (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (+.f64 (.f64 1/48 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 (pow.f64 K 3) (pow.f64 m 3)))) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (*.f64 K m))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (pow.f64 K 2)))) (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (pow.f64 K 2)))) (+.f64 (.f64 1/48 (.f64 (pow.f64 n 3) (.f64 (pow.f64 K 3) (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) M))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M) (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M) (+.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))) (pow.f64 M 2)))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M) (+.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (+.f64 (.f64 -1/6 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (pow.f64 M 3))) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))) (pow.f64 M 2))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m)))))
(cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m)))))
(cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m)))))
(cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m)))))
(pow.f64 (-.f64 (*.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 1/2 (.f64 K (+.f64 n m)))
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 1/2 (.f64 n K))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(.f64 1/2 (.f64 K m))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(.f64 1/2 (.f64 K m))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(.f64 1/2 (.f64 K m))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(.f64 1/2 (.f64 n K))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(.f64 1/2 (.f64 n K))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 n K)))
(*.f64 -1 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))))
(+.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) 0)
(+.f64 0 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)))
(+.f64 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) 1/2) (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) 1/2))
(-.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) 0)
(.f64 2 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) 1/2))
(.f64 (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 m n) 1/2)) M)) 1)
(.f64 1 (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 m n) 1/2)) M)))
(.f64 4 (/.f64 (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 m n) 1/2)) M)) 4))
(.f64 (.f64 2 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))) 1/2)
(.f64 1/2 (.f64 2 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))))
(.f64 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) 4) 1/4)
(.f64 1/4 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) 4))
(.f64 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) 1/2) 2)
(.f64 (/.f64 (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 m n) 1/2)) M)) 4) 4)
(/.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) 1)
(/.f64 (.f64 2 (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 m n) 1/2)) M))) 2)
(/.f64 (.f64 (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 m n) 1/2)) M)) 4) 4)
(/.f64 (.f64 2 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 m n) 1/2)) M)) 4))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) 4))) (.f64 2 (.f64 2 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) 4)))) 32)
(+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2) 0)
(+.f64 0 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2))
(+.f64 (.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) 1/2) (.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) 1/2))
(-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2) 0)
(.f64 2 (.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2) 1/2))
(.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) 1)
(.f64 1 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2))
(.f64 4 (/.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) 4))
(.f64 (.f64 2 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)) 1/2)
(.f64 1/2 (.f64 2 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)))
(.f64 (.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2) 4) 1/4)
(.f64 1/4 (.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2) 4))
(.f64 (.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2) 1/2) 2)
(.f64 (/.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) 4) 4)
(/.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2) 1)
(/.f64 (.f64 2 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) 2)
(/.f64 (.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) 4) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) 4))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) 4))) (.f64 2 (.f64 2 (.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) 4)))) 32)
(+.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) 0)
(+.f64 0 (.f64 K (.f64 (+.f64 m n) 1/2)))
(+.f64 (.f64 K (.f64 (+.f64 m n) 1/4)) (.f64 K (.f64 (+.f64 m n) 1/4)))
(-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) 0)
(/.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) 1)
(/.f64 (*.f64 K (+.f64 m n)) 2)
(/.f64 (.f64 K (.f64 (+.f64 m n) 2)) 4)
(/.f64 (.f64 2 (.f64 K (*.f64 (+.f64 m n) 2))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 K (.f64 (+.f64 m n) 2)))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 K (.f64 (+.f64 m n) 2)))) (.f64 2 (.f64 2 (.f64 K (.f64 (+.f64 m n) 2))))) 32)
(+.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) (neg.f64 M))
(+.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M) 0)
(+.f64 0 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))
(+.f64 -1 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) (+.f64 M -1)))
(+.f64 (neg.f64 M) (.f64 K (.f64 (+.f64 m n) 1/2)))
(+.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) (+.f64 M -1)) -1)
(+.f64 (.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M) 1/2) (.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M) 1/2))
(.f64 2 (.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M) 1/2))
(.f64 (-.f64 (.f64 K (*.f64 (+.f64 m n) 1/2)) M) 1)
(.f64 1 (-.f64 (.f64 K (*.f64 (+.f64 m n) 1/2)) M))
(.f64 4 (/.f64 (-.f64 (.f64 K (*.f64 (+.f64 m n) 1/2)) M) 4))
(.f64 (+.f64 M (/.f64 (.f64 K (+.f64 m n)) -2)) -1)
(.f64 -1 (+.f64 M (/.f64 (.f64 K (+.f64 m n)) -2)))
(.f64 (.f64 2 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) 1/2)
(.f64 1/2 (.f64 2 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)))
(.f64 1/2 (-.f64 (.f64 K (+.f64 m n)) (+.f64 M M)))
(.f64 (.f64 (+.f64 M (/.f64 (*.f64 K (+.f64 m n)) -2)) -4) 1/4)
(.f64 -2 (.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M) -1/2))
(.f64 (.f64 2 (+.f64 M (/.f64 (*.f64 K (+.f64 m n)) -2))) -1/2)
(.f64 1/4 (.f64 (+.f64 M (/.f64 (*.f64 K (+.f64 m n)) -2)) -4))
(.f64 (.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M) 1/2) 2)
(.f64 (.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M) -1/2) -2)
(.f64 -1/2 (.f64 2 (+.f64 M (/.f64 (*.f64 K (+.f64 m n)) -2))))
(.f64 (/.f64 (-.f64 (.f64 K (*.f64 (+.f64 m n) 1/2)) M) 4) 4)
(.f64 (-.f64 (.f64 K (+.f64 m n)) (+.f64 M M)) 1/2)
(/.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M) 1)
(/.f64 (+.f64 M (/.f64 (*.f64 K (+.f64 m n)) -2)) -1)
(/.f64 (.f64 2 (-.f64 (.f64 K (*.f64 (+.f64 m n) 1/2)) M)) 2)
(/.f64 (.f64 (+.f64 M (/.f64 (.f64 K (+.f64 m n)) -2)) -4) 4)
(/.f64 (.f64 2 (+.f64 M (/.f64 (.f64 K (+.f64 m n)) -2))) -2)
(/.f64 (.f64 2 (.f64 (+.f64 M (/.f64 (*.f64 K (+.f64 m n)) -2)) -4)) 8)
(/.f64 (.f64 4 (+.f64 M (/.f64 (.f64 K (+.f64 m n)) -2))) -4)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 M (/.f64 (.f64 K (+.f64 m n)) -2)) -4))) 16)
(/.f64 (.f64 2 (.f64 4 (+.f64 M (/.f64 (*.f64 K (+.f64 m n)) -2)))) -8)
(/.f64 (neg.f64 (.f64 4 (+.f64 M (/.f64 (.f64 K (+.f64 m n)) -2)))) 4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 M (/.f64 (.f64 K (+.f64 m n)) -2)) -4))) (.f64 2 (.f64 2 (.f64 (+.f64 M (/.f64 (.f64 K (+.f64 m n)) -2)) -4)))) 32)
(/.f64 (+.f64 (neg.f64 (.f64 4 (+.f64 M (/.f64 (.f64 K (+.f64 m n)) -2)))) (neg.f64 (.f64 4 (+.f64 M (/.f64 (.f64 K (+.f64 m n)) -2))))) 8)
(neg.f64 (+.f64 M (/.f64 (*.f64 K (+.f64 m n)) -2)))

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

eval1.3s (5.4%)

Compiler: Compiled 8437 to 4399 computations (47.9% saved)

prune38.0ms (0.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	225	4	229
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	226	4	230

Error

1.4b

Counts

230 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	43.2b	(.f64 (+.f64 (.f64 K (.f64 -1/2 (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)))) (+.f64 (.f64 (cos.f64 M) (.f64 -1/8 (*.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))) (cos.f64 M))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
▶	17.9b	(.f64 (+.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))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
▶	33.2b	(.f64 (cos.f64 (-.f64 (.f64 K (/.f64 (+.f64 m n) 2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
▶	1.5b	(*.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))

Compiler

Compiled 150 to 103 computations (31.3% saved)

localize31.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 102 to 42 computations (58.8% saved)

series3.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite79.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1768×	`bool.json-1`
1768×	`bool.json-2`
1518×	`bool.json-3`
480×	`rational.json-simplify-44`
458×	`rational.json-simplify-61`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	47
1	161	47
2	456	47
3	1221	47
4	5587	47

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (neg.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) (neg.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) (-.f64 (fabs.f64 (-.f64 m n)) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 l) (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (+.f64 l (-.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) (fabs.f64 (-.f64 m n))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) (-.f64 1 (-.f64 l (fabs.f64 (-.f64 m n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 l) (-.f64 1 (-.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) (fabs.f64 (-.f64 m n)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 l (-.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) (fabs.f64 (-.f64 m n)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 l (-.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) (fabs.f64 (-.f64 m n)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) 4) (.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 l (-.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) (fabs.f64 (-.f64 m n)))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (neg.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)) (neg.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)) (-.f64 (fabs.f64 (-.f64 m n)) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 l) (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (+.f64 l (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2) (fabs.f64 (-.f64 m n))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)) (-.f64 1 (-.f64 l (fabs.f64 (-.f64 m n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 l) (-.f64 1 (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2) (fabs.f64 (-.f64 m n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 l (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2) (fabs.f64 (-.f64 m n)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 l (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2) (fabs.f64 (-.f64 m n)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)) 4) (*.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 l (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2) (fabs.f64 (-.f64 m n)))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)))))))

simplify234.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1216×	`rational.json-simplify-2`
1074×	`rational.json-simplify-53`
846×	`rational.json-simplify-41`
744×	`rational.json-simplify-51`
742×	`rational.json-simplify-44`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	133	3658
1	256	3620
2	429	3580
3	923	3580
4	4517	3572

Stop Event

1×	node limit

Counts

68 → 92

Calls

Call 1

Inputs
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 n) M) 2)))
(-.f64 (+.f64 (.f64 (-.f64 M (.f64 1/2 n)) m) (fabs.f64 (-.f64 m n))) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 n) M) 2) l))
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 m 2)) (+.f64 (.f64 (-.f64 M (.f64 1/2 n)) m) (fabs.f64 (-.f64 m n)))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) l))
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 m 2)) (+.f64 (.f64 (-.f64 M (.f64 1/2 n)) m) (fabs.f64 (-.f64 m n)))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) l))
(*.f64 -1/4 (pow.f64 m 2))
(+.f64 (.f64 -1/4 (pow.f64 m 2)) (.f64 (-.f64 M (*.f64 1/2 n)) m))
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 m 2)) (+.f64 (.f64 (-.f64 M (.f64 1/2 n)) m) (fabs.f64 (-.f64 m n)))) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 m 2)) (+.f64 (.f64 (-.f64 M (.f64 1/2 n)) m) (fabs.f64 (-.f64 m n)))) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))
(*.f64 -1/4 (pow.f64 m 2))
(+.f64 (.f64 -1 (.f64 (-.f64 (.f64 1/2 n) M) m)) (.f64 -1/4 (pow.f64 m 2)))
(-.f64 (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 1/2 n) M) m)) (+.f64 (.f64 -1/4 (pow.f64 m 2)) (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m)))))) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))
(-.f64 (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 1/2 n) M) m)) (+.f64 (.f64 -1/4 (pow.f64 m 2)) (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m)))))) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 m) M) 2) l))
(-.f64 (+.f64 (.f64 (-.f64 M (.f64 1/2 m)) n) (fabs.f64 (-.f64 m n))) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 m) M) 2) l))
(-.f64 (+.f64 (.f64 (-.f64 M (.f64 1/2 m)) n) (+.f64 (.f64 -1/4 (pow.f64 n 2)) (fabs.f64 (-.f64 m n)))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l))
(-.f64 (+.f64 (.f64 (-.f64 M (.f64 1/2 m)) n) (+.f64 (.f64 -1/4 (pow.f64 n 2)) (fabs.f64 (-.f64 m n)))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l))
(*.f64 -1/4 (pow.f64 n 2))
(+.f64 (.f64 (-.f64 M (.f64 1/2 m)) n) (*.f64 -1/4 (pow.f64 n 2)))
(-.f64 (+.f64 (.f64 (-.f64 M (.f64 1/2 m)) n) (+.f64 (fabs.f64 (-.f64 m n)) (.f64 -1/4 (pow.f64 n 2)))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l))
(-.f64 (+.f64 (.f64 (-.f64 M (.f64 1/2 m)) n) (+.f64 (fabs.f64 (-.f64 m n)) (.f64 -1/4 (pow.f64 n 2)))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l))
(*.f64 -1/4 (pow.f64 n 2))
(+.f64 (.f64 -1/4 (pow.f64 n 2)) (.f64 -1 (.f64 n (-.f64 (.f64 1/2 m) M))))
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 n 2)) (+.f64 (.f64 -1 (.f64 n (-.f64 (.f64 1/2 m) M))) (fabs.f64 (+.f64 (.f64 -1 n) m)))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l))
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 n 2)) (+.f64 (.f64 -1 (.f64 n (-.f64 (.f64 1/2 m) M))) (fabs.f64 (+.f64 (.f64 -1 n) m)))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l))
(-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))
(*.f64 -1 l)
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))
(*.f64 -1 l)
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 (+.f64 n m) 2))))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 (+.f64 n m) M)) (+.f64 (.f64 1/4 (pow.f64 (+.f64 n m) 2)) l))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 -1 (pow.f64 M 2)) (.f64 (+.f64 n m) M))) (+.f64 (*.f64 1/4 (pow.f64 (+.f64 n m) 2)) l))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 -1 (pow.f64 M 2)) (.f64 (+.f64 n m) M))) (+.f64 (*.f64 1/4 (pow.f64 (+.f64 n m) 2)) l))
(*.f64 -1 (pow.f64 M 2))
(+.f64 (.f64 -1 (pow.f64 M 2)) (.f64 (+.f64 n m) M))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 -1 (pow.f64 M 2)) (.f64 (+.f64 n m) M))) (+.f64 (*.f64 1/4 (pow.f64 (+.f64 n m) 2)) l))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 -1 (pow.f64 M 2)) (.f64 (+.f64 n m) M))) (+.f64 (*.f64 1/4 (pow.f64 (+.f64 n m) 2)) l))
(*.f64 -1 (pow.f64 M 2))
(+.f64 (.f64 -1 (pow.f64 M 2)) (.f64 (+.f64 n m) M))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 -1 (pow.f64 M 2)) (.f64 (+.f64 n m) M))) (+.f64 (*.f64 1/4 (pow.f64 (+.f64 n m) 2)) l))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 -1 (pow.f64 M 2)) (.f64 (+.f64 n m) M))) (+.f64 (*.f64 1/4 (pow.f64 (+.f64 n m) 2)) l))
(+.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (neg.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)))
(+.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)) 0)
(+.f64 0 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)))
(+.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)) (neg.f64 l))
(+.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)) (-.f64 (fabs.f64 (-.f64 m n)) l))
(+.f64 (neg.f64 l) (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)))
(+.f64 -1 (-.f64 1 (+.f64 l (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2) (fabs.f64 (-.f64 m n))))))
(+.f64 (-.f64 -1 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)) (-.f64 1 (-.f64 l (fabs.f64 (-.f64 m n)))))
(+.f64 (-.f64 -1 l) (-.f64 1 (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2) (fabs.f64 (-.f64 m n)))))
(.f64 2 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) 2))
(.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) 1)
(.f64 1 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)))
(.f64 (.f64 2 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2))) 1/2)
(.f64 (+.f64 l (-.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) (fabs.f64 (-.f64 m n)))) -1)
(/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)) 1)
(/.f64 (.f64 2 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2))) 2)
(/.f64 (+.f64 l (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2) (fabs.f64 (-.f64 m n)))) -1)
(/.f64 (.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) 4) 4)
(/.f64 (+.f64 (.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) 4) (.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) 4)) 8)
(neg.f64 (+.f64 l (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2) (fabs.f64 (-.f64 m n)))))

Outputs
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 n) M) 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2)))
(-.f64 (+.f64 (.f64 (-.f64 M (.f64 1/2 n)) m) (fabs.f64 (-.f64 m n))) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 n) M) 2) l))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (.f64 m (-.f64 M (.f64 n 1/2))) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2))))
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 m 2)) (+.f64 (.f64 (-.f64 M (.f64 1/2 n)) m) (fabs.f64 (-.f64 m n)))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) l))
(+.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 m (-.f64 M (.f64 n 1/2)))) (-.f64 (.f64 -1/4 (pow.f64 m 2)) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2))))
(+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (-.f64 (.f64 m (-.f64 M (.f64 n 1/2))) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2))) (.f64 -1/4 (pow.f64 m 2))))
(+.f64 (.f64 m (-.f64 M (.f64 n 1/2))) (-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 -1/4 (pow.f64 m 2))) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2))))
(+.f64 (.f64 m (-.f64 M (.f64 n 1/2))) (+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (.f64 -1/4 (pow.f64 m 2)) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2)))))
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 m 2)) (+.f64 (.f64 (-.f64 M (.f64 1/2 n)) m) (fabs.f64 (-.f64 m n)))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) l))
(+.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 m (-.f64 M (.f64 n 1/2)))) (-.f64 (.f64 -1/4 (pow.f64 m 2)) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2))))
(+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (-.f64 (.f64 m (-.f64 M (.f64 n 1/2))) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2))) (.f64 -1/4 (pow.f64 m 2))))
(+.f64 (.f64 m (-.f64 M (.f64 n 1/2))) (-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 -1/4 (pow.f64 m 2))) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2))))
(+.f64 (.f64 m (-.f64 M (.f64 n 1/2))) (+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (.f64 -1/4 (pow.f64 m 2)) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2)))))
(*.f64 -1/4 (pow.f64 m 2))
(+.f64 (.f64 -1/4 (pow.f64 m 2)) (.f64 (-.f64 M (*.f64 1/2 n)) m))
(+.f64 (.f64 m (-.f64 M (.f64 n 1/2))) (*.f64 -1/4 (pow.f64 m 2)))
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 m 2)) (+.f64 (.f64 (-.f64 M (.f64 1/2 n)) m) (fabs.f64 (-.f64 m n)))) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))
(+.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 m (-.f64 M (.f64 n 1/2)))) (-.f64 (.f64 -1/4 (pow.f64 m 2)) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2))))
(+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (-.f64 (.f64 m (-.f64 M (.f64 n 1/2))) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2))) (.f64 -1/4 (pow.f64 m 2))))
(+.f64 (.f64 m (-.f64 M (.f64 n 1/2))) (-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 -1/4 (pow.f64 m 2))) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2))))
(+.f64 (.f64 m (-.f64 M (.f64 n 1/2))) (+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (.f64 -1/4 (pow.f64 m 2)) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2)))))
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 m 2)) (+.f64 (.f64 (-.f64 M (.f64 1/2 n)) m) (fabs.f64 (-.f64 m n)))) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))
(+.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 m (-.f64 M (.f64 n 1/2)))) (-.f64 (.f64 -1/4 (pow.f64 m 2)) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2))))
(+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (-.f64 (.f64 m (-.f64 M (.f64 n 1/2))) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2))) (.f64 -1/4 (pow.f64 m 2))))
(+.f64 (.f64 m (-.f64 M (.f64 n 1/2))) (-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 -1/4 (pow.f64 m 2))) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2))))
(+.f64 (.f64 m (-.f64 M (.f64 n 1/2))) (+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (.f64 -1/4 (pow.f64 m 2)) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2)))))
(*.f64 -1/4 (pow.f64 m 2))
(+.f64 (.f64 -1 (.f64 (-.f64 (.f64 1/2 n) M) m)) (.f64 -1/4 (pow.f64 m 2)))
(+.f64 (.f64 -1/4 (pow.f64 m 2)) (.f64 (-.f64 (.f64 n 1/2) M) (.f64 m -1)))
(+.f64 (.f64 -1/4 (pow.f64 m 2)) (.f64 (-.f64 (*.f64 n 1/2) M) (neg.f64 m)))
(+.f64 (.f64 -1/4 (pow.f64 m 2)) (.f64 m (neg.f64 (-.f64 (*.f64 n 1/2) M))))
(-.f64 (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 1/2 n) M) m)) (+.f64 (.f64 -1/4 (pow.f64 m 2)) (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m)))))) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))
(+.f64 (+.f64 (.f64 -1/4 (pow.f64 m 2)) (fabs.f64 (neg.f64 (+.f64 n (.f64 m -1))))) (-.f64 (.f64 (-.f64 (.f64 n 1/2) M) (.f64 m -1)) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2))))
(+.f64 (+.f64 (.f64 -1/4 (pow.f64 m 2)) (fabs.f64 (neg.f64 (+.f64 n (neg.f64 m))))) (-.f64 (.f64 (-.f64 (.f64 n 1/2) M) (neg.f64 m)) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2))))
(+.f64 (.f64 m (neg.f64 (-.f64 (.f64 n 1/2) M))) (+.f64 (.f64 -1/4 (pow.f64 m 2)) (-.f64 (fabs.f64 (+.f64 n (neg.f64 m))) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2)))))
(+.f64 (.f64 -1/4 (pow.f64 m 2)) (-.f64 (+.f64 (.f64 (-.f64 (.f64 n 1/2) M) (neg.f64 m)) (fabs.f64 (+.f64 n (neg.f64 m)))) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2))))
(+.f64 (.f64 -1/4 (pow.f64 m 2)) (+.f64 (fabs.f64 (+.f64 n (neg.f64 m))) (-.f64 (.f64 (-.f64 (.f64 n 1/2) M) (neg.f64 m)) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2)))))
(-.f64 (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 1/2 n) M) m)) (+.f64 (.f64 -1/4 (pow.f64 m 2)) (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m)))))) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))
(+.f64 (+.f64 (.f64 -1/4 (pow.f64 m 2)) (fabs.f64 (neg.f64 (+.f64 n (.f64 m -1))))) (-.f64 (.f64 (-.f64 (.f64 n 1/2) M) (.f64 m -1)) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2))))
(+.f64 (+.f64 (.f64 -1/4 (pow.f64 m 2)) (fabs.f64 (neg.f64 (+.f64 n (neg.f64 m))))) (-.f64 (.f64 (-.f64 (.f64 n 1/2) M) (neg.f64 m)) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2))))
(+.f64 (.f64 m (neg.f64 (-.f64 (.f64 n 1/2) M))) (+.f64 (.f64 -1/4 (pow.f64 m 2)) (-.f64 (fabs.f64 (+.f64 n (neg.f64 m))) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2)))))
(+.f64 (.f64 -1/4 (pow.f64 m 2)) (-.f64 (+.f64 (.f64 (-.f64 (.f64 n 1/2) M) (neg.f64 m)) (fabs.f64 (+.f64 n (neg.f64 m)))) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2))))
(+.f64 (.f64 -1/4 (pow.f64 m 2)) (+.f64 (fabs.f64 (+.f64 n (neg.f64 m))) (-.f64 (.f64 (-.f64 (.f64 n 1/2) M) (neg.f64 m)) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2)))))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 m) M) 2) l))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 m 1/2) M) 2)))
(-.f64 (+.f64 (.f64 (-.f64 M (.f64 1/2 m)) n) (fabs.f64 (-.f64 m n))) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 m) M) 2) l))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (.f64 n (-.f64 M (.f64 m 1/2))) (+.f64 l (pow.f64 (-.f64 (*.f64 m 1/2) M) 2))))
(+.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 m 1/2) M) 2))) (.f64 n (-.f64 M (*.f64 m 1/2))))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 n (-.f64 M (.f64 m 1/2)))) (+.f64 l (pow.f64 (-.f64 (*.f64 m 1/2) M) 2)))
(-.f64 (+.f64 (.f64 (-.f64 M (.f64 1/2 m)) n) (+.f64 (.f64 -1/4 (pow.f64 n 2)) (fabs.f64 (-.f64 m n)))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l))
(+.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 -1/4 (pow.f64 n 2))) (-.f64 (.f64 n (-.f64 M (.f64 m 1/2))) (+.f64 l (pow.f64 (-.f64 (.f64 m 1/2) M) 2))))
(+.f64 (.f64 n (-.f64 M (.f64 m 1/2))) (-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 -1/4 (pow.f64 n 2))) (+.f64 l (pow.f64 (-.f64 (.f64 m 1/2) M) 2))))
(+.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 m 1/2) M) 2))) (+.f64 (.f64 n (-.f64 M (.f64 m 1/2))) (.f64 -1/4 (pow.f64 n 2))))
(-.f64 (+.f64 (.f64 (-.f64 M (.f64 1/2 m)) n) (+.f64 (.f64 -1/4 (pow.f64 n 2)) (fabs.f64 (-.f64 m n)))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l))
(+.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 -1/4 (pow.f64 n 2))) (-.f64 (.f64 n (-.f64 M (.f64 m 1/2))) (+.f64 l (pow.f64 (-.f64 (.f64 m 1/2) M) 2))))
(+.f64 (.f64 n (-.f64 M (.f64 m 1/2))) (-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 -1/4 (pow.f64 n 2))) (+.f64 l (pow.f64 (-.f64 (.f64 m 1/2) M) 2))))
(+.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 m 1/2) M) 2))) (+.f64 (.f64 n (-.f64 M (.f64 m 1/2))) (.f64 -1/4 (pow.f64 n 2))))
(*.f64 -1/4 (pow.f64 n 2))
(+.f64 (.f64 (-.f64 M (.f64 1/2 m)) n) (*.f64 -1/4 (pow.f64 n 2)))
(+.f64 (.f64 n (-.f64 M (.f64 m 1/2))) (*.f64 -1/4 (pow.f64 n 2)))
(+.f64 (.f64 -1/4 (pow.f64 n 2)) (.f64 n (-.f64 M (*.f64 m 1/2))))
(-.f64 (+.f64 (.f64 (-.f64 M (.f64 1/2 m)) n) (+.f64 (fabs.f64 (-.f64 m n)) (.f64 -1/4 (pow.f64 n 2)))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l))
(+.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 -1/4 (pow.f64 n 2))) (-.f64 (.f64 n (-.f64 M (.f64 m 1/2))) (+.f64 l (pow.f64 (-.f64 (.f64 m 1/2) M) 2))))
(+.f64 (.f64 n (-.f64 M (.f64 m 1/2))) (-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 -1/4 (pow.f64 n 2))) (+.f64 l (pow.f64 (-.f64 (.f64 m 1/2) M) 2))))
(+.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 m 1/2) M) 2))) (+.f64 (.f64 n (-.f64 M (.f64 m 1/2))) (.f64 -1/4 (pow.f64 n 2))))
(-.f64 (+.f64 (.f64 (-.f64 M (.f64 1/2 m)) n) (+.f64 (fabs.f64 (-.f64 m n)) (.f64 -1/4 (pow.f64 n 2)))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l))
(+.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 -1/4 (pow.f64 n 2))) (-.f64 (.f64 n (-.f64 M (.f64 m 1/2))) (+.f64 l (pow.f64 (-.f64 (.f64 m 1/2) M) 2))))
(+.f64 (.f64 n (-.f64 M (.f64 m 1/2))) (-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 -1/4 (pow.f64 n 2))) (+.f64 l (pow.f64 (-.f64 (.f64 m 1/2) M) 2))))
(+.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 m 1/2) M) 2))) (+.f64 (.f64 n (-.f64 M (.f64 m 1/2))) (.f64 -1/4 (pow.f64 n 2))))
(*.f64 -1/4 (pow.f64 n 2))
(+.f64 (.f64 -1/4 (pow.f64 n 2)) (.f64 -1 (.f64 n (-.f64 (.f64 1/2 m) M))))
(+.f64 (.f64 n (-.f64 M (.f64 m 1/2))) (*.f64 -1/4 (pow.f64 n 2)))
(+.f64 (.f64 -1/4 (pow.f64 n 2)) (.f64 n (-.f64 M (*.f64 m 1/2))))
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 n 2)) (+.f64 (.f64 -1 (.f64 n (-.f64 (.f64 1/2 m) M))) (fabs.f64 (+.f64 (.f64 -1 n) m)))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l))
(+.f64 (+.f64 (.f64 n (.f64 (-.f64 (.f64 m 1/2) M) -1)) (fabs.f64 (+.f64 m (.f64 n -1)))) (-.f64 (.f64 -1/4 (pow.f64 n 2)) (+.f64 l (pow.f64 (-.f64 (.f64 m 1/2) M) 2))))
(+.f64 (.f64 -1/4 (pow.f64 n 2)) (-.f64 (+.f64 (.f64 (-.f64 (.f64 m 1/2) M) (neg.f64 n)) (fabs.f64 (+.f64 m (neg.f64 n)))) (+.f64 l (pow.f64 (-.f64 (.f64 m 1/2) M) 2))))
(+.f64 (.f64 n (neg.f64 (-.f64 (.f64 m 1/2) M))) (+.f64 (-.f64 (fabs.f64 (+.f64 m (neg.f64 n))) (+.f64 l (pow.f64 (-.f64 (.f64 m 1/2) M) 2))) (.f64 -1/4 (pow.f64 n 2))))
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 n 2)) (+.f64 (.f64 n (-.f64 M (.f64 m 1/2))) (fabs.f64 (+.f64 m (neg.f64 n))))) (+.f64 l (pow.f64 (-.f64 (.f64 m 1/2) M) 2)))
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 n 2)) (+.f64 (.f64 -1 (.f64 n (-.f64 (.f64 1/2 m) M))) (fabs.f64 (+.f64 (.f64 -1 n) m)))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l))
(+.f64 (+.f64 (.f64 n (.f64 (-.f64 (.f64 m 1/2) M) -1)) (fabs.f64 (+.f64 m (.f64 n -1)))) (-.f64 (.f64 -1/4 (pow.f64 n 2)) (+.f64 l (pow.f64 (-.f64 (.f64 m 1/2) M) 2))))
(+.f64 (.f64 -1/4 (pow.f64 n 2)) (-.f64 (+.f64 (.f64 (-.f64 (.f64 m 1/2) M) (neg.f64 n)) (fabs.f64 (+.f64 m (neg.f64 n)))) (+.f64 l (pow.f64 (-.f64 (.f64 m 1/2) M) 2))))
(+.f64 (.f64 n (neg.f64 (-.f64 (.f64 m 1/2) M))) (+.f64 (-.f64 (fabs.f64 (+.f64 m (neg.f64 n))) (+.f64 l (pow.f64 (-.f64 (.f64 m 1/2) M) 2))) (.f64 -1/4 (pow.f64 n 2))))
(-.f64 (+.f64 (.f64 -1/4 (pow.f64 n 2)) (+.f64 (.f64 n (-.f64 M (.f64 m 1/2))) (fabs.f64 (+.f64 m (neg.f64 n))))) (+.f64 l (pow.f64 (-.f64 (.f64 m 1/2) M) 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))
(-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)))
(*.f64 -1 l)
(neg.f64 l)
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)))
(*.f64 -1 l)
(neg.f64 l)
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)))
(-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 (+.f64 n m) 2))))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 (+.f64 m n) 2))))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 (+.f64 n m) M)) (+.f64 (.f64 1/4 (pow.f64 (+.f64 n m) 2)) l))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 M (+.f64 m n))) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 m n) 2))))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (.f64 M (+.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 m n) 2)))))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 -1 (pow.f64 M 2)) (.f64 (+.f64 n m) M))) (+.f64 (*.f64 1/4 (pow.f64 (+.f64 n m) 2)) l))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 M (+.f64 m n)) (.f64 -1 (pow.f64 M 2)))) (+.f64 l (*.f64 1/4 (pow.f64 (+.f64 m n) 2))))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (+.f64 (.f64 M (+.f64 m n)) (neg.f64 (pow.f64 M 2))) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 m n) 2)))))
(+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (neg.f64 (pow.f64 M 2)) (-.f64 (.f64 M (+.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 m n) 2))))))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 -1 (pow.f64 M 2)) (.f64 (+.f64 n m) M))) (+.f64 (*.f64 1/4 (pow.f64 (+.f64 n m) 2)) l))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 M (+.f64 m n)) (.f64 -1 (pow.f64 M 2)))) (+.f64 l (*.f64 1/4 (pow.f64 (+.f64 m n) 2))))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (+.f64 (.f64 M (+.f64 m n)) (neg.f64 (pow.f64 M 2))) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 m n) 2)))))
(+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (neg.f64 (pow.f64 M 2)) (-.f64 (.f64 M (+.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 m n) 2))))))
(*.f64 -1 (pow.f64 M 2))
(neg.f64 (pow.f64 M 2))
(+.f64 (.f64 -1 (pow.f64 M 2)) (.f64 (+.f64 n m) M))
(+.f64 (.f64 M (+.f64 m n)) (.f64 -1 (pow.f64 M 2)))
(+.f64 (*.f64 M (+.f64 m n)) (neg.f64 (pow.f64 M 2)))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 -1 (pow.f64 M 2)) (.f64 (+.f64 n m) M))) (+.f64 (*.f64 1/4 (pow.f64 (+.f64 n m) 2)) l))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 M (+.f64 m n)) (.f64 -1 (pow.f64 M 2)))) (+.f64 l (*.f64 1/4 (pow.f64 (+.f64 m n) 2))))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (+.f64 (.f64 M (+.f64 m n)) (neg.f64 (pow.f64 M 2))) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 m n) 2)))))
(+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (neg.f64 (pow.f64 M 2)) (-.f64 (.f64 M (+.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 m n) 2))))))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 -1 (pow.f64 M 2)) (.f64 (+.f64 n m) M))) (+.f64 (*.f64 1/4 (pow.f64 (+.f64 n m) 2)) l))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 M (+.f64 m n)) (.f64 -1 (pow.f64 M 2)))) (+.f64 l (*.f64 1/4 (pow.f64 (+.f64 m n) 2))))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (+.f64 (.f64 M (+.f64 m n)) (neg.f64 (pow.f64 M 2))) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 m n) 2)))))
(+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (neg.f64 (pow.f64 M 2)) (-.f64 (.f64 M (+.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 m n) 2))))))
(*.f64 -1 (pow.f64 M 2))
(neg.f64 (pow.f64 M 2))
(+.f64 (.f64 -1 (pow.f64 M 2)) (.f64 (+.f64 n m) M))
(+.f64 (.f64 M (+.f64 m n)) (.f64 -1 (pow.f64 M 2)))
(+.f64 (*.f64 M (+.f64 m n)) (neg.f64 (pow.f64 M 2)))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 -1 (pow.f64 M 2)) (.f64 (+.f64 n m) M))) (+.f64 (*.f64 1/4 (pow.f64 (+.f64 n m) 2)) l))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 M (+.f64 m n)) (.f64 -1 (pow.f64 M 2)))) (+.f64 l (*.f64 1/4 (pow.f64 (+.f64 m n) 2))))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (+.f64 (.f64 M (+.f64 m n)) (neg.f64 (pow.f64 M 2))) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 m n) 2)))))
(+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (neg.f64 (pow.f64 M 2)) (-.f64 (.f64 M (+.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 m n) 2))))))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 -1 (pow.f64 M 2)) (.f64 (+.f64 n m) M))) (+.f64 (*.f64 1/4 (pow.f64 (+.f64 n m) 2)) l))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 M (+.f64 m n)) (.f64 -1 (pow.f64 M 2)))) (+.f64 l (*.f64 1/4 (pow.f64 (+.f64 m n) 2))))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (+.f64 (.f64 M (+.f64 m n)) (neg.f64 (pow.f64 M 2))) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 m n) 2)))))
(+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (neg.f64 (pow.f64 M 2)) (-.f64 (.f64 M (+.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 m n) 2))))))
(+.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (neg.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)))
(+.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (neg.f64 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)))
(+.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)) 0)
(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2))
(+.f64 0 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2))
(+.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)) (neg.f64 l))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)))
(+.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)) (-.f64 (fabs.f64 (-.f64 m n)) l))
(+.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (neg.f64 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)))
(+.f64 (neg.f64 l) (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)))
(+.f64 -1 (-.f64 1 (+.f64 l (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2) (fabs.f64 (-.f64 m n))))))
(+.f64 -1 (-.f64 1 (+.f64 l (-.f64 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2) (fabs.f64 (-.f64 m n))))))
(neg.f64 (+.f64 l (-.f64 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2) (fabs.f64 (-.f64 m n)))))
(+.f64 (-.f64 -1 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)) (-.f64 1 (-.f64 l (fabs.f64 (-.f64 m n)))))
(+.f64 (-.f64 -1 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)) (-.f64 (fabs.f64 (-.f64 m n)) (-.f64 l 1)))
(+.f64 (-.f64 -1 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)) (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l -1)))
(+.f64 (-.f64 -1 l) (-.f64 1 (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2) (fabs.f64 (-.f64 m n)))))
(+.f64 (-.f64 -1 l) (-.f64 1 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2) (fabs.f64 (-.f64 m n)))))
(+.f64 (-.f64 -1 l) (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 -1 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2))))
(.f64 2 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) 2))
(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2))
(.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) 1)
(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2))
(.f64 1 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2))
(.f64 (.f64 2 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2))) 1/2)
(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2))
(.f64 (+.f64 l (-.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) (fabs.f64 (-.f64 m n)))) -1)
(+.f64 -1 (-.f64 1 (+.f64 l (-.f64 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2) (fabs.f64 (-.f64 m n))))))
(neg.f64 (+.f64 l (-.f64 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2) (fabs.f64 (-.f64 m n)))))
(/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)) 1)
(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2))
(/.f64 (.f64 2 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2))) 2)
(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2))
(/.f64 (+.f64 l (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2) (fabs.f64 (-.f64 m n)))) -1)
(+.f64 -1 (-.f64 1 (+.f64 l (-.f64 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2) (fabs.f64 (-.f64 m n))))))
(neg.f64 (+.f64 l (-.f64 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2) (fabs.f64 (-.f64 m n)))))
(/.f64 (.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) 4) 4)
(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2))
(/.f64 (+.f64 (.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) 4) (.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) 4)) 8)
(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2))
(neg.f64 (+.f64 l (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2) (fabs.f64 (-.f64 m n)))))
(+.f64 -1 (-.f64 1 (+.f64 l (-.f64 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2) (fabs.f64 (-.f64 m n))))))
(neg.f64 (+.f64 l (-.f64 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2) (fabs.f64 (-.f64 m n)))))

localize35.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (*.f64 K (/.f64 (+.f64 m n) 2)) M)
✓	0.0b	(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))
	0.0b	(*.f64 K (/.f64 (+.f64 m n) 2))
	35.5b	(cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 m n) 2)) M))

Compiler

Compiled 104 to 43 computations (58.7% saved)

series2.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite64.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1604×	`bool.json-1`
1604×	`bool.json-2`
1588×	`rational.json-1`
1588×	`rational.json-2`
1402×	`bool.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	129	29
2	363	29
3	992	29
4	5077	29

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (neg.f64 (pow.f64 M 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 M 2)) (neg.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 M 2)) (-.f64 (fabs.f64 (-.f64 m n)) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 l) (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 M 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (+.f64 l (-.f64 (pow.f64 M 2) (fabs.f64 (-.f64 m n))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (pow.f64 M 2)) (-.f64 1 (-.f64 l (fabs.f64 (-.f64 m n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 l) (-.f64 1 (-.f64 (pow.f64 M 2) (fabs.f64 (-.f64 m n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 l (-.f64 (pow.f64 M 2) (fabs.f64 (-.f64 m n)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 l (-.f64 (pow.f64 M 2) (fabs.f64 (-.f64 m n)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2)) 4) (*.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 l (-.f64 (pow.f64 M 2) (fabs.f64 (-.f64 m n)))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2)) (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2)))))))

simplify101.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1172×	`rational.json-simplify-2`
1074×	`rational.json-simplify-53`
762×	`rational.json-simplify-44`
750×	`rational.json-simplify-47`
736×	`rational.json-simplify-51`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	71	2094
1	140	2078
2	256	2030
3	665	2030
4	4180	2030

Stop Event

1×	node limit

Counts

68 → 44

Calls

Call 1

Inputs
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (neg.f64 (+.f64 n (*.f64 -1 m)))) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (neg.f64 (+.f64 n (*.f64 -1 m)))) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (neg.f64 (+.f64 n (*.f64 -1 m)))) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (neg.f64 (+.f64 n (*.f64 -1 m)))) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (+.f64 (*.f64 -1 n) m)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (+.f64 (*.f64 -1 n) m)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (+.f64 (*.f64 -1 n) m)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (+.f64 (*.f64 -1 n) m)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 M 2))
(-.f64 (+.f64 (*.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 M 2))
(-.f64 (+.f64 (*.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 M 2))
(-.f64 (+.f64 (*.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 M 2))
(*.f64 -1 l)
(-.f64 (+.f64 (*.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 M 2))
(-.f64 (+.f64 (*.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 M 2))
(-.f64 (+.f64 (*.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 M 2))
(*.f64 -1 l)
(-.f64 (+.f64 (*.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 M 2))
(-.f64 (+.f64 (*.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 M 2))
(-.f64 (+.f64 (*.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 M 2))
(-.f64 (fabs.f64 (-.f64 m n)) l)
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (*.f64 -1 (pow.f64 M 2))) l)
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (*.f64 -1 (pow.f64 M 2))) l)
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (*.f64 -1 (pow.f64 M 2))) l)
(*.f64 -1 (pow.f64 M 2))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (*.f64 -1 (pow.f64 M 2))) l)
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (*.f64 -1 (pow.f64 M 2))) l)
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (*.f64 -1 (pow.f64 M 2))) l)
(*.f64 -1 (pow.f64 M 2))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (*.f64 -1 (pow.f64 M 2))) l)
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (*.f64 -1 (pow.f64 M 2))) l)
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (*.f64 -1 (pow.f64 M 2))) l)
(+.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (neg.f64 (pow.f64 M 2)))
(+.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2)) 0)
(+.f64 0 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2)))
(+.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 M 2)) (neg.f64 l))
(+.f64 (neg.f64 (pow.f64 M 2)) (-.f64 (fabs.f64 (-.f64 m n)) l))
(+.f64 (neg.f64 l) (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 M 2)))
(+.f64 -1 (-.f64 1 (+.f64 l (-.f64 (pow.f64 M 2) (fabs.f64 (-.f64 m n))))))
(+.f64 (-.f64 -1 (pow.f64 M 2)) (-.f64 1 (-.f64 l (fabs.f64 (-.f64 m n)))))
(+.f64 (-.f64 -1 l) (-.f64 1 (-.f64 (pow.f64 M 2) (fabs.f64 (-.f64 m n)))))
(*.f64 2 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2)) 2))
(*.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2)) 1)
(*.f64 1 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2)))
(.f64 (.f64 2 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))) 1/2)
(*.f64 (+.f64 l (-.f64 (pow.f64 M 2) (fabs.f64 (-.f64 m n)))) -1)
(/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2)) 1)
(/.f64 (*.f64 2 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))) 2)
(/.f64 (+.f64 l (-.f64 (pow.f64 M 2) (fabs.f64 (-.f64 m n)))) -1)
(/.f64 (*.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2)) 4) 4)
(/.f64 (+.f64 (.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2)) 4) (.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2)) 4)) 8)
(neg.f64 (+.f64 l (-.f64 (pow.f64 M 2) (fabs.f64 (-.f64 m n)))))

Outputs
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (neg.f64 (+.f64 n (*.f64 -1 m)))) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (neg.f64 (+.f64 n (*.f64 m -1)))) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (neg.f64 (+.f64 n (neg.f64 m)))) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (+.f64 n (neg.f64 m))) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (neg.f64 (+.f64 n (*.f64 -1 m)))) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (neg.f64 (+.f64 n (*.f64 m -1)))) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (neg.f64 (+.f64 n (neg.f64 m)))) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (+.f64 n (neg.f64 m))) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (neg.f64 (+.f64 n (*.f64 -1 m)))) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (neg.f64 (+.f64 n (*.f64 m -1)))) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (neg.f64 (+.f64 n (neg.f64 m)))) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (+.f64 n (neg.f64 m))) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (neg.f64 (+.f64 n (*.f64 -1 m)))) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (neg.f64 (+.f64 n (*.f64 m -1)))) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (neg.f64 (+.f64 n (neg.f64 m)))) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (+.f64 n (neg.f64 m))) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (+.f64 (*.f64 -1 n) m)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (+.f64 m (*.f64 n -1))) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (+.f64 m (neg.f64 n))) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (+.f64 (*.f64 -1 n) m)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (+.f64 m (*.f64 n -1))) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (+.f64 m (neg.f64 n))) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (+.f64 (*.f64 -1 n) m)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (+.f64 m (*.f64 n -1))) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (+.f64 m (neg.f64 n))) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (+.f64 (*.f64 -1 n) m)) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (+.f64 m (*.f64 n -1))) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (+.f64 m (neg.f64 n))) (+.f64 l (pow.f64 M 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 M 2))
(-.f64 (+.f64 (*.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 M 2))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 l) (pow.f64 M 2)))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 (pow.f64 M 2)) l))
(-.f64 (+.f64 (*.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 M 2))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 l) (pow.f64 M 2)))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 (pow.f64 M 2)) l))
(-.f64 (+.f64 (*.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 M 2))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 l) (pow.f64 M 2)))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 (pow.f64 M 2)) l))
(*.f64 -1 l)
(neg.f64 l)
(-.f64 (+.f64 (*.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 M 2))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 l) (pow.f64 M 2)))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 (pow.f64 M 2)) l))
(-.f64 (+.f64 (*.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 M 2))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 l) (pow.f64 M 2)))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 (pow.f64 M 2)) l))
(-.f64 (+.f64 (*.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 M 2))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 l) (pow.f64 M 2)))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 (pow.f64 M 2)) l))
(*.f64 -1 l)
(neg.f64 l)
(-.f64 (+.f64 (*.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 M 2))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 l) (pow.f64 M 2)))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 (pow.f64 M 2)) l))
(-.f64 (+.f64 (*.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 M 2))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 l) (pow.f64 M 2)))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 (pow.f64 M 2)) l))
(-.f64 (+.f64 (*.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 M 2))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 l) (pow.f64 M 2)))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 (pow.f64 M 2)) l))
(-.f64 (fabs.f64 (-.f64 m n)) l)
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (*.f64 -1 (pow.f64 M 2))) l)
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 l) (pow.f64 M 2)))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 (pow.f64 M 2)) l))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (*.f64 -1 (pow.f64 M 2))) l)
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 l) (pow.f64 M 2)))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 (pow.f64 M 2)) l))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (*.f64 -1 (pow.f64 M 2))) l)
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 l) (pow.f64 M 2)))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 (pow.f64 M 2)) l))
(*.f64 -1 (pow.f64 M 2))
(neg.f64 (pow.f64 M 2))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (*.f64 -1 (pow.f64 M 2))) l)
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 l) (pow.f64 M 2)))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 (pow.f64 M 2)) l))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (*.f64 -1 (pow.f64 M 2))) l)
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 l) (pow.f64 M 2)))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 (pow.f64 M 2)) l))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (*.f64 -1 (pow.f64 M 2))) l)
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 l) (pow.f64 M 2)))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 (pow.f64 M 2)) l))
(*.f64 -1 (pow.f64 M 2))
(neg.f64 (pow.f64 M 2))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (*.f64 -1 (pow.f64 M 2))) l)
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 l) (pow.f64 M 2)))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 (pow.f64 M 2)) l))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (*.f64 -1 (pow.f64 M 2))) l)
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 l) (pow.f64 M 2)))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 (pow.f64 M 2)) l))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (*.f64 -1 (pow.f64 M 2))) l)
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 l) (pow.f64 M 2)))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 (pow.f64 M 2)) l))
(+.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (neg.f64 (pow.f64 M 2)))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 l) (pow.f64 M 2)))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 (pow.f64 M 2)) l))
(+.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2)) 0)
(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 M 2)) l)
(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))
(+.f64 0 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 M 2)) l)
(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))
(+.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 M 2)) (neg.f64 l))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 l) (pow.f64 M 2)))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 (pow.f64 M 2)) l))
(+.f64 (neg.f64 (pow.f64 M 2)) (-.f64 (fabs.f64 (-.f64 m n)) l))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 l) (pow.f64 M 2)))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 (pow.f64 M 2)) l))
(+.f64 (neg.f64 l) (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 M 2)))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 l) (pow.f64 M 2)))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 (pow.f64 M 2)) l))
(+.f64 -1 (-.f64 1 (+.f64 l (-.f64 (pow.f64 M 2) (fabs.f64 (-.f64 m n))))))
(neg.f64 (+.f64 l (-.f64 (pow.f64 M 2) (fabs.f64 (-.f64 m n)))))
(+.f64 (-.f64 -1 (pow.f64 M 2)) (-.f64 1 (-.f64 l (fabs.f64 (-.f64 m n)))))
(+.f64 (-.f64 -1 (pow.f64 M 2)) (-.f64 (fabs.f64 (-.f64 m n)) (-.f64 l 1)))
(+.f64 (-.f64 -1 (pow.f64 M 2)) (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l -1)))
(+.f64 (-.f64 -1 l) (-.f64 1 (-.f64 (pow.f64 M 2) (fabs.f64 (-.f64 m n)))))
(+.f64 (-.f64 -1 l) (-.f64 (fabs.f64 (-.f64 m n)) (-.f64 (pow.f64 M 2) 1)))
(+.f64 (-.f64 -1 l) (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 M 2) -1)))
(*.f64 2 (/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2)) 2))
(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 M 2)) l)
(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))
(*.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2)) 1)
(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 M 2)) l)
(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))
(*.f64 1 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 M 2)) l)
(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))
(.f64 (.f64 2 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))) 1/2)
(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 M 2)) l)
(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))
(*.f64 (+.f64 l (-.f64 (pow.f64 M 2) (fabs.f64 (-.f64 m n)))) -1)
(+.f64 -1 (-.f64 1 (+.f64 l (-.f64 (pow.f64 M 2) (fabs.f64 (-.f64 m n))))))
(neg.f64 (+.f64 l (-.f64 (pow.f64 M 2) (fabs.f64 (-.f64 m n)))))
(/.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2)) 1)
(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 M 2)) l)
(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))
(/.f64 (*.f64 2 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))) 2)
(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 M 2)) l)
(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))
(/.f64 (+.f64 l (-.f64 (pow.f64 M 2) (fabs.f64 (-.f64 m n)))) -1)
(+.f64 -1 (-.f64 1 (+.f64 l (-.f64 (pow.f64 M 2) (fabs.f64 (-.f64 m n))))))
(neg.f64 (+.f64 l (-.f64 (pow.f64 M 2) (fabs.f64 (-.f64 m n)))))
(/.f64 (*.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2)) 4) 4)
(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 M 2)) l)
(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))
(/.f64 (+.f64 (.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2)) 4) (.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2)) 4)) 8)
(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 M 2)) l)
(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))
(neg.f64 (+.f64 l (-.f64 (pow.f64 M 2) (fabs.f64 (-.f64 m n)))))
(+.f64 -1 (-.f64 1 (+.f64 l (-.f64 (pow.f64 M 2) (fabs.f64 (-.f64 m n))))))

localize614.0ms (2.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.1b	(.f64 n (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))
✓	9.1b	(.f64 (+.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))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
✓	27.6b	(sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))
✓	27.7b	(cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))

Compiler

Compiled 214 to 102 computations (52.3% saved)

series35.0ms (0.1%)

Counts

4 → 108

Calls

45 calls:

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

rewrite106.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

740×	`bool.json-1`
740×	`bool.json-2`
718×	`rational.json-1`
718×	`rational.json-2`
718×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	206
1	306	206
2	830	206
3	2088	206
4	7553	206

Stop Event

1×	node limit

Counts

4 → 38

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 4) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x and (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x or (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 4) (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (sin.f64 (-.f64 M (.f64 1/2 (.f64 K m)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (sin.f64 (-.f64 (-.f64 (.f64 1/2 (.f64 K m)) M) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x and (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x or (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (sin.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 -1/2 n)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 -1/2 n)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 -1/2 n)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 -1/2 n)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 -1/2 n)))) (.f64 2 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 -1/2 n)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 -1/2 n)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) 4) (.f64 (.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 -1/2 n)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 -1/2 n)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 -1/2 n)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 -1/2 n)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 -1/2 n)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 -1/2 n)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K n)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K n)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K n)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 (+.f64 K K) n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K n)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K n)) 4) (.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K n)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K n))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K n)) (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K n)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K n)) (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (*.f64 K n)))))))

simplify251.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1028×	`rational.json-simplify-44`
996×	`rational.json-simplify-1`
904×	`rational.json-simplify-47`
884×	`rational.json-simplify-41`
822×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	470	19240
1	1136	18390
2	2233	17592
3	3399	17320
4	7987	17320

Stop Event

1×	node limit

Counts

146 → 269

Calls

Call 1

Inputs
(cos.f64 (neg.f64 M))
(+.f64 (.f64 -1/2 (.f64 K (*.f64 (sin.f64 (neg.f64 M)) m))) (cos.f64 (neg.f64 M)))
(+.f64 (.f64 -1/2 (.f64 K (.f64 (sin.f64 (neg.f64 M)) m))) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (cos.f64 (neg.f64 M))))
(+.f64 (.f64 -1/2 (.f64 K (.f64 (sin.f64 (neg.f64 M)) m))) (+.f64 (.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (sin.f64 (neg.f64 M)) (pow.f64 m 3)))) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (*.f64 (pow.f64 K 2) (pow.f64 m 2)))) (cos.f64 (neg.f64 M)))))
(cos.f64 (neg.f64 M))
(+.f64 (.f64 -1/2 (.f64 K (*.f64 (sin.f64 (neg.f64 M)) m))) (cos.f64 (neg.f64 M)))
(+.f64 (.f64 -1/2 (.f64 K (.f64 (sin.f64 (neg.f64 M)) m))) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (cos.f64 (neg.f64 M))))
(+.f64 (.f64 -1/2 (.f64 K (.f64 (sin.f64 (neg.f64 M)) m))) (+.f64 (.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (sin.f64 (neg.f64 M)) (pow.f64 m 3)))) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (*.f64 (pow.f64 K 2) (pow.f64 m 2)))) (cos.f64 (neg.f64 M)))))
(cos.f64 (.f64 1/2 (.f64 K m)))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K m))) M) (cos.f64 (.f64 1/2 (*.f64 K m))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K m))) M) (+.f64 (cos.f64 (.f64 1/2 (.f64 K m))) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (*.f64 K m))) (pow.f64 M 2)))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K m))) M) (+.f64 (cos.f64 (.f64 1/2 (.f64 K m))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 M 3) (sin.f64 (.f64 1/2 (.f64 K m))))) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (*.f64 K m))) (pow.f64 M 2))))))
(cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) (*.f64 -1 M)))
(cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) (*.f64 -1 M)))
(cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) (*.f64 -1 M)))
(cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) (*.f64 -1 M)))
(sin.f64 (neg.f64 M))
(+.f64 (sin.f64 (neg.f64 M)) (.f64 1/2 (.f64 (cos.f64 (neg.f64 M)) (*.f64 K m))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (sin.f64 (neg.f64 M)) (pow.f64 m 2)))) (+.f64 (sin.f64 (neg.f64 M)) (.f64 1/2 (.f64 (cos.f64 (neg.f64 M)) (.f64 K m)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (sin.f64 (neg.f64 M)) (pow.f64 m 2)))) (+.f64 (sin.f64 (neg.f64 M)) (+.f64 (.f64 1/2 (.f64 (cos.f64 (neg.f64 M)) (.f64 K m))) (.f64 -1/48 (.f64 (cos.f64 (neg.f64 M)) (*.f64 (pow.f64 K 3) (pow.f64 m 3)))))))
(sin.f64 (neg.f64 M))
(+.f64 (sin.f64 (neg.f64 M)) (.f64 1/2 (.f64 (cos.f64 (neg.f64 M)) (*.f64 K m))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (sin.f64 (neg.f64 M)) (pow.f64 m 2)))) (+.f64 (sin.f64 (neg.f64 M)) (.f64 1/2 (.f64 (cos.f64 (neg.f64 M)) (.f64 K m)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (sin.f64 (neg.f64 M)) (pow.f64 m 2)))) (+.f64 (sin.f64 (neg.f64 M)) (+.f64 (.f64 1/2 (.f64 (cos.f64 (neg.f64 M)) (.f64 K m))) (.f64 -1/48 (.f64 (cos.f64 (neg.f64 M)) (*.f64 (pow.f64 K 3) (pow.f64 m 3)))))))
(sin.f64 (.f64 1/2 (.f64 K m)))
(+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (.f64 K m))) M)) (sin.f64 (.f64 1/2 (.f64 K m))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 M 2) (sin.f64 (.f64 1/2 (.f64 K m))))) (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (.f64 K m))) M)) (sin.f64 (.f64 1/2 (.f64 K m)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 M 2) (sin.f64 (.f64 1/2 (.f64 K m))))) (+.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 1/2 (.f64 K m))) (pow.f64 M 3))) (+.f64 (.f64 -1 (.f64 (cos.f64 (.f64 1/2 (.f64 K m))) M)) (sin.f64 (.f64 1/2 (.f64 K m))))))
(sin.f64 (+.f64 (.f64 1/2 (.f64 K m)) (*.f64 -1 M)))
(sin.f64 (+.f64 (.f64 1/2 (.f64 K m)) (*.f64 -1 M)))
(sin.f64 (+.f64 (.f64 1/2 (.f64 K m)) (*.f64 -1 M)))
(sin.f64 (+.f64 (.f64 1/2 (.f64 K m)) (*.f64 -1 M)))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 m) M) 2) l))))
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(.f64 n (.f64 K (sin.f64 (+.f64 (.f64 1/2 (.f64 K m)) (*.f64 -1 M)))))
(.f64 n (.f64 K (sin.f64 (+.f64 (.f64 1/2 (.f64 K m)) (*.f64 -1 M)))))
(+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 0)
(+.f64 0 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))
(-.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 0)
(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)) 1)
(.f64 2 (/.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)) 2))
(.f64 1 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)))
(.f64 (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 2) 1/2)
(/.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 1)
(/.f64 (.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)) 2) 2)
(/.f64 (.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)) 4) 4)
(/.f64 (+.f64 (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 4) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 4)) 8)
(+.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 0)
(+.f64 0 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))
(-.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 0)
(.f64 (sin.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)) 1)
(.f64 2 (/.f64 (sin.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)) 2))
(.f64 1 (sin.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)))
(.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 2) 1/2)
(/.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 1)
(/.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)) 2) 2)
(/.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)) 4) 4)
(/.f64 (+.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 4) (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 4)) 8)
(neg.f64 (sin.f64 (-.f64 M (.f64 1/2 (.f64 K m)))))
(neg.f64 (sin.f64 (-.f64 (-.f64 (.f64 1/2 (.f64 K m)) M) (PI.f64))))
(+.f64 (.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 -1/2 n)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)))) 0)
(+.f64 0 (.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 -1/2 n)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)))))
(-.f64 (.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 -1/2 n)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)))) 0)
(/.f64 (.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 -1/2 n)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)))) 1)
(/.f64 (.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 -1/2 n)))) (.f64 2 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))))) 2)
(/.f64 (.f64 (.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 -1/2 n)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) 4) 4)
(/.f64 (+.f64 (.f64 (.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 -1/2 n)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) 4) (.f64 (.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 -1/2 n)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) 4)) 8)
(+.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K n)) 0)
(+.f64 0 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K n)))
(-.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K n)) 0)
(/.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K n)) 1)
(/.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 (+.f64 K K) n)) 2)
(/.f64 (.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (*.f64 K n)) 4) 4)
(/.f64 (+.f64 (.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K n)) 4) (.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K n)) 4)) 8)

Outputs
(cos.f64 (neg.f64 M))
(cos.f64 M)
(+.f64 (.f64 -1/2 (.f64 K (*.f64 (sin.f64 (neg.f64 M)) m))) (cos.f64 (neg.f64 M)))
(+.f64 (cos.f64 M) (.f64 K (.f64 (*.f64 (neg.f64 (sin.f64 M)) m) -1/2)))
(+.f64 (cos.f64 M) (.f64 K (.f64 -1/2 (*.f64 (neg.f64 (sin.f64 M)) m))))
(+.f64 (cos.f64 M) (.f64 -1/2 (.f64 K (*.f64 (neg.f64 (sin.f64 M)) m))))
(+.f64 (.f64 -1/2 (.f64 K (.f64 (sin.f64 (neg.f64 M)) m))) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (cos.f64 (neg.f64 M))))
(+.f64 (.f64 K (.f64 (.f64 (neg.f64 (sin.f64 M)) m) -1/2)) (+.f64 (cos.f64 M) (.f64 (cos.f64 M) (.f64 (.f64 (pow.f64 K 2) (pow.f64 m 2)) -1/8))))
(+.f64 (cos.f64 M) (+.f64 (.f64 (.f64 (pow.f64 K 2) (pow.f64 m 2)) (.f64 -1/8 (cos.f64 M))) (.f64 K (.f64 -1/2 (.f64 (neg.f64 (sin.f64 M)) m)))))
(+.f64 (.f64 -1/2 (.f64 K (.f64 (neg.f64 (sin.f64 M)) m))) (+.f64 (cos.f64 M) (.f64 (cos.f64 M) (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))))))
(+.f64 (.f64 K (.f64 -1/2 (.f64 (neg.f64 (sin.f64 M)) m))) (+.f64 (cos.f64 M) (.f64 (pow.f64 K 2) (.f64 (cos.f64 M) (.f64 -1/8 (pow.f64 m 2))))))
(+.f64 (.f64 -1/2 (.f64 K (.f64 (sin.f64 (neg.f64 M)) m))) (+.f64 (.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (sin.f64 (neg.f64 M)) (pow.f64 m 3)))) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (*.f64 (pow.f64 K 2) (pow.f64 m 2)))) (cos.f64 (neg.f64 M)))))
(+.f64 (.f64 K (.f64 (.f64 (neg.f64 (sin.f64 M)) m) -1/2)) (+.f64 (.f64 (cos.f64 M) (.f64 (.f64 (pow.f64 K 2) (pow.f64 m 2)) -1/8)) (+.f64 (cos.f64 M) (.f64 (pow.f64 K 3) (.f64 (*.f64 (neg.f64 (sin.f64 M)) (pow.f64 m 3)) 1/48)))))
(+.f64 (+.f64 (cos.f64 M) (.f64 (.f64 (pow.f64 K 2) (pow.f64 m 2)) (.f64 -1/8 (cos.f64 M)))) (+.f64 (.f64 (neg.f64 (sin.f64 M)) (.f64 (.f64 (pow.f64 K 3) (pow.f64 m 3)) 1/48)) (.f64 K (.f64 -1/2 (*.f64 (neg.f64 (sin.f64 M)) m)))))
(+.f64 (cos.f64 M) (+.f64 (+.f64 (.f64 (cos.f64 M) (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (neg.f64 (sin.f64 M)) (pow.f64 m 3))))) (.f64 -1/2 (.f64 K (*.f64 (neg.f64 (sin.f64 M)) m)))))
(+.f64 (cos.f64 M) (+.f64 (.f64 K (.f64 -1/2 (.f64 (neg.f64 (sin.f64 M)) m))) (+.f64 (.f64 (pow.f64 K 2) (.f64 (cos.f64 M) (.f64 -1/8 (pow.f64 m 2)))) (.f64 (neg.f64 (sin.f64 M)) (.f64 (*.f64 (pow.f64 K 3) (pow.f64 m 3)) 1/48)))))
(cos.f64 (neg.f64 M))
(cos.f64 M)
(+.f64 (.f64 -1/2 (.f64 K (*.f64 (sin.f64 (neg.f64 M)) m))) (cos.f64 (neg.f64 M)))
(+.f64 (cos.f64 M) (.f64 K (.f64 (*.f64 (neg.f64 (sin.f64 M)) m) -1/2)))
(+.f64 (cos.f64 M) (.f64 K (.f64 -1/2 (*.f64 (neg.f64 (sin.f64 M)) m))))
(+.f64 (cos.f64 M) (.f64 -1/2 (.f64 K (*.f64 (neg.f64 (sin.f64 M)) m))))
(+.f64 (.f64 -1/2 (.f64 K (.f64 (sin.f64 (neg.f64 M)) m))) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (cos.f64 (neg.f64 M))))
(+.f64 (.f64 K (.f64 (.f64 (neg.f64 (sin.f64 M)) m) -1/2)) (+.f64 (cos.f64 M) (.f64 (cos.f64 M) (.f64 (.f64 (pow.f64 K 2) (pow.f64 m 2)) -1/8))))
(+.f64 (cos.f64 M) (+.f64 (.f64 (.f64 (pow.f64 K 2) (pow.f64 m 2)) (.f64 -1/8 (cos.f64 M))) (.f64 K (.f64 -1/2 (.f64 (neg.f64 (sin.f64 M)) m)))))
(+.f64 (.f64 -1/2 (.f64 K (.f64 (neg.f64 (sin.f64 M)) m))) (+.f64 (cos.f64 M) (.f64 (cos.f64 M) (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))))))
(+.f64 (.f64 K (.f64 -1/2 (.f64 (neg.f64 (sin.f64 M)) m))) (+.f64 (cos.f64 M) (.f64 (pow.f64 K 2) (.f64 (cos.f64 M) (.f64 -1/8 (pow.f64 m 2))))))
(+.f64 (.f64 -1/2 (.f64 K (.f64 (sin.f64 (neg.f64 M)) m))) (+.f64 (.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (sin.f64 (neg.f64 M)) (pow.f64 m 3)))) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (*.f64 (pow.f64 K 2) (pow.f64 m 2)))) (cos.f64 (neg.f64 M)))))
(+.f64 (.f64 K (.f64 (.f64 (neg.f64 (sin.f64 M)) m) -1/2)) (+.f64 (.f64 (cos.f64 M) (.f64 (.f64 (pow.f64 K 2) (pow.f64 m 2)) -1/8)) (+.f64 (cos.f64 M) (.f64 (pow.f64 K 3) (.f64 (*.f64 (neg.f64 (sin.f64 M)) (pow.f64 m 3)) 1/48)))))
(+.f64 (+.f64 (cos.f64 M) (.f64 (.f64 (pow.f64 K 2) (pow.f64 m 2)) (.f64 -1/8 (cos.f64 M)))) (+.f64 (.f64 (neg.f64 (sin.f64 M)) (.f64 (.f64 (pow.f64 K 3) (pow.f64 m 3)) 1/48)) (.f64 K (.f64 -1/2 (*.f64 (neg.f64 (sin.f64 M)) m)))))
(+.f64 (cos.f64 M) (+.f64 (+.f64 (.f64 (cos.f64 M) (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (neg.f64 (sin.f64 M)) (pow.f64 m 3))))) (.f64 -1/2 (.f64 K (*.f64 (neg.f64 (sin.f64 M)) m)))))
(+.f64 (cos.f64 M) (+.f64 (.f64 K (.f64 -1/2 (.f64 (neg.f64 (sin.f64 M)) m))) (+.f64 (.f64 (pow.f64 K 2) (.f64 (cos.f64 M) (.f64 -1/8 (pow.f64 m 2)))) (.f64 (neg.f64 (sin.f64 M)) (.f64 (*.f64 (pow.f64 K 3) (pow.f64 m 3)) 1/48)))))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K m))) M) (cos.f64 (.f64 1/2 (*.f64 K m))))
(+.f64 (cos.f64 (.f64 K (.f64 m 1/2))) (.f64 M (sin.f64 (.f64 K (*.f64 m 1/2)))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K m))) M) (+.f64 (cos.f64 (.f64 1/2 (.f64 K m))) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (*.f64 K m))) (pow.f64 M 2)))))
(+.f64 (cos.f64 (.f64 K (.f64 m 1/2))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 K (.f64 m 1/2))) (pow.f64 M 2))) (.f64 M (sin.f64 (.f64 K (*.f64 m 1/2))))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 K (.f64 m 1/2))) (pow.f64 M 2))) (+.f64 (cos.f64 (.f64 K (.f64 m 1/2))) (.f64 M (sin.f64 (.f64 K (*.f64 m 1/2))))))
(+.f64 (cos.f64 (.f64 K (.f64 m 1/2))) (+.f64 (.f64 M (sin.f64 (.f64 K (.f64 m 1/2)))) (.f64 -1/2 (.f64 (cos.f64 (.f64 K (*.f64 m 1/2))) (pow.f64 M 2)))))
(+.f64 (+.f64 (cos.f64 (.f64 K (.f64 m 1/2))) (.f64 M (sin.f64 (.f64 K (.f64 m 1/2))))) (.f64 -1/2 (.f64 (cos.f64 (.f64 K (*.f64 m 1/2))) (pow.f64 M 2))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K m))) M) (+.f64 (cos.f64 (.f64 1/2 (.f64 K m))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 M 3) (sin.f64 (.f64 1/2 (.f64 K m))))) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (*.f64 K m))) (pow.f64 M 2))))))
(+.f64 (cos.f64 (.f64 K (.f64 m 1/2))) (+.f64 (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 K (.f64 m 1/2))) (pow.f64 M 2))) (.f64 -1/6 (.f64 (sin.f64 (.f64 K (.f64 m 1/2))) (pow.f64 M 3)))) (.f64 M (sin.f64 (.f64 K (*.f64 m 1/2))))))
(+.f64 (.f64 M (sin.f64 (.f64 K (.f64 m 1/2)))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 K (.f64 m 1/2))) (pow.f64 M 2))) (+.f64 (.f64 (sin.f64 (.f64 K (.f64 m 1/2))) (.f64 (pow.f64 M 3) -1/6)) (cos.f64 (.f64 K (*.f64 m 1/2))))))
(+.f64 (.f64 M (sin.f64 (.f64 K (.f64 m 1/2)))) (+.f64 (cos.f64 (.f64 K (.f64 m 1/2))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 K (.f64 m 1/2))) (pow.f64 M 2))) (.f64 (sin.f64 (.f64 K (.f64 m 1/2))) (*.f64 (pow.f64 M 3) -1/6)))))
(+.f64 (cos.f64 (.f64 K (.f64 m 1/2))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 K (.f64 m 1/2))) (pow.f64 M 2))) (.f64 (sin.f64 (.f64 K (.f64 m 1/2))) (+.f64 M (.f64 (pow.f64 M 3) -1/6)))))
(cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) (*.f64 -1 M)))
(cos.f64 (+.f64 (.f64 K (.f64 m 1/2)) (neg.f64 M)))
(cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) (*.f64 -1 M)))
(cos.f64 (+.f64 (.f64 K (.f64 m 1/2)) (neg.f64 M)))
(cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) (*.f64 -1 M)))
(cos.f64 (+.f64 (.f64 K (.f64 m 1/2)) (neg.f64 M)))
(cos.f64 (+.f64 (.f64 1/2 (.f64 K m)) (*.f64 -1 M)))
(cos.f64 (+.f64 (.f64 K (.f64 m 1/2)) (neg.f64 M)))
(sin.f64 (neg.f64 M))
(neg.f64 (sin.f64 M))
(+.f64 (sin.f64 (neg.f64 M)) (.f64 1/2 (.f64 (cos.f64 (neg.f64 M)) (*.f64 K m))))
(+.f64 (neg.f64 (sin.f64 M)) (.f64 (cos.f64 M) (.f64 K (*.f64 m 1/2))))
(+.f64 (neg.f64 (sin.f64 M)) (.f64 (.f64 K m) (*.f64 (cos.f64 M) 1/2)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (sin.f64 (neg.f64 M)) (pow.f64 m 2)))) (+.f64 (sin.f64 (neg.f64 M)) (.f64 1/2 (.f64 (cos.f64 (neg.f64 M)) (.f64 K m)))))
(+.f64 (neg.f64 (sin.f64 M)) (+.f64 (.f64 (cos.f64 M) (.f64 K (.f64 m 1/2))) (.f64 -1/8 (.f64 (neg.f64 (sin.f64 M)) (.f64 (pow.f64 K 2) (pow.f64 m 2))))))
(+.f64 (neg.f64 (sin.f64 M)) (+.f64 (.f64 (cos.f64 M) (.f64 K (.f64 m 1/2))) (.f64 (neg.f64 (sin.f64 M)) (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))))))
(+.f64 (neg.f64 (sin.f64 M)) (+.f64 (.f64 (.f64 K m) (.f64 (cos.f64 M) 1/2)) (.f64 (neg.f64 (sin.f64 M)) (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (sin.f64 (neg.f64 M)) (pow.f64 m 2)))) (+.f64 (sin.f64 (neg.f64 M)) (+.f64 (.f64 1/2 (.f64 (cos.f64 (neg.f64 M)) (.f64 K m))) (.f64 -1/48 (.f64 (cos.f64 (neg.f64 M)) (*.f64 (pow.f64 K 3) (pow.f64 m 3)))))))
(+.f64 (neg.f64 (sin.f64 M)) (+.f64 (+.f64 (.f64 (cos.f64 M) (.f64 K (.f64 m 1/2))) (.f64 (cos.f64 M) (.f64 (.f64 (pow.f64 K 3) (pow.f64 m 3)) -1/48))) (.f64 -1/8 (.f64 (neg.f64 (sin.f64 M)) (*.f64 (pow.f64 K 2) (pow.f64 m 2))))))
(+.f64 (.f64 (neg.f64 (sin.f64 M)) (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (+.f64 (.f64 (cos.f64 M) (.f64 -1/48 (.f64 (pow.f64 K 3) (pow.f64 m 3)))) (+.f64 (neg.f64 (sin.f64 M)) (.f64 (cos.f64 M) (.f64 K (*.f64 m 1/2))))))
(+.f64 (neg.f64 (sin.f64 M)) (+.f64 (.f64 (neg.f64 (sin.f64 M)) (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (.f64 (cos.f64 M) (+.f64 (.f64 -1/48 (.f64 (pow.f64 K 3) (pow.f64 m 3))) (.f64 K (.f64 m 1/2))))))
(+.f64 (neg.f64 (sin.f64 M)) (+.f64 (.f64 (neg.f64 (sin.f64 M)) (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (.f64 (cos.f64 M) (+.f64 (.f64 K (.f64 m 1/2)) (.f64 -1/48 (.f64 (pow.f64 K 3) (pow.f64 m 3)))))))
(sin.f64 (neg.f64 M))
(neg.f64 (sin.f64 M))
(+.f64 (sin.f64 (neg.f64 M)) (.f64 1/2 (.f64 (cos.f64 (neg.f64 M)) (*.f64 K m))))
(+.f64 (neg.f64 (sin.f64 M)) (.f64 (cos.f64 M) (.f64 K (*.f64 m 1/2))))
(+.f64 (neg.f64 (sin.f64 M)) (.f64 (.f64 K m) (*.f64 (cos.f64 M) 1/2)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (sin.f64 (neg.f64 M)) (pow.f64 m 2)))) (+.f64 (sin.f64 (neg.f64 M)) (.f64 1/2 (.f64 (cos.f64 (neg.f64 M)) (.f64 K m)))))
(+.f64 (neg.f64 (sin.f64 M)) (+.f64 (.f64 (cos.f64 M) (.f64 K (.f64 m 1/2))) (.f64 -1/8 (.f64 (neg.f64 (sin.f64 M)) (.f64 (pow.f64 K 2) (pow.f64 m 2))))))
(+.f64 (neg.f64 (sin.f64 M)) (+.f64 (.f64 (cos.f64 M) (.f64 K (.f64 m 1/2))) (.f64 (neg.f64 (sin.f64 M)) (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 m 2))))))
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(.f64 K (.f64 (sin.f64 (+.f64 (.f64 K (.f64 m 1/2)) (neg.f64 M))) n))
(+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 0)
(cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
(+.f64 0 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))
(cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
(-.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 0)
(cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)) 1)
(cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
(.f64 2 (/.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)) 2))
(cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
(.f64 1 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)))
(cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
(.f64 (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 2) 1/2)
(cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
(/.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 1)
(cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
(/.f64 (.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)) 2) 2)
(cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
(/.f64 (.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)) 4) 4)
(cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
(/.f64 (+.f64 (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 4) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 4)) 8)
(cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
(+.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 0)
(sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
(+.f64 0 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))
(sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
(-.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 0)
(sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
(.f64 (sin.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)) 1)
(sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
(.f64 2 (/.f64 (sin.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)) 2))
(sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
(.f64 1 (sin.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)))
(sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
(.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 2) 1/2)
(sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
(/.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 1)
(sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
(/.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)) 2) 2)
(sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
(/.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)) 4) 4)
(sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
(/.f64 (+.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 4) (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) 4)) 8)
(sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
(neg.f64 (sin.f64 (-.f64 M (.f64 1/2 (.f64 K m)))))
(sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
(neg.f64 (sin.f64 (-.f64 (-.f64 (.f64 1/2 (.f64 K m)) M) (PI.f64))))
(sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
(+.f64 (.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 -1/2 n)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)))) 0)
(.f64 (+.f64 (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 (.f64 -1/2 n) K))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)) l)))
(.f64 (+.f64 (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 K (.f64 -1/2 n)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)) l)))
(.f64 (+.f64 (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)))))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)) l)))
(.f64 (+.f64 (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 K n)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2))))
(+.f64 0 (.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 -1/2 n)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)))))
(.f64 (+.f64 (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 (.f64 -1/2 n) K))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)) l)))
(.f64 (+.f64 (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 K (.f64 -1/2 n)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)) l)))
(.f64 (+.f64 (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)))))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)) l)))
(.f64 (+.f64 (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 K n)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2))))
(-.f64 (.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 -1/2 n)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)))) 0)
(.f64 (+.f64 (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 (.f64 -1/2 n) K))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)) l)))
(.f64 (+.f64 (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 K (.f64 -1/2 n)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)) l)))
(.f64 (+.f64 (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)))))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)) l)))
(.f64 (+.f64 (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 K n)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2))))
(/.f64 (.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 -1/2 n)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)))) 1)
(.f64 (+.f64 (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 (.f64 -1/2 n) K))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)) l)))
(.f64 (+.f64 (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 K (.f64 -1/2 n)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)) l)))
(.f64 (+.f64 (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)))))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)) l)))
(.f64 (+.f64 (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 K n)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2))))
(/.f64 (.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 -1/2 n)))) (.f64 2 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))))) 2)
(.f64 (+.f64 (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 (.f64 -1/2 n) K))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)) l)))
(.f64 (+.f64 (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 K (.f64 -1/2 n)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)) l)))
(.f64 (+.f64 (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)))))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)) l)))
(.f64 (+.f64 (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 K n)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2))))
(/.f64 (.f64 (.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 -1/2 n)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) 4) 4)
(.f64 (+.f64 (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 (.f64 -1/2 n) K))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)) l)))
(.f64 (+.f64 (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 K (.f64 -1/2 n)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)) l)))
(.f64 (+.f64 (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)))))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)) l)))
(.f64 (+.f64 (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 K n)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2))))
(/.f64 (+.f64 (.f64 (.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 -1/2 n)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) 4) (.f64 (.f64 (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 -1/2 n)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) 4)) 8)
(.f64 (+.f64 (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 (.f64 -1/2 n) K))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)) l)))
(.f64 (+.f64 (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 K (.f64 -1/2 n)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)) l)))
(.f64 (+.f64 (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)))))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)) l)))
(.f64 (+.f64 (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 K n)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2))))
(+.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K n)) 0)
(.f64 K (.f64 n (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))))
(.f64 n (.f64 K (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))))
(.f64 (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 K n))
(+.f64 0 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K n)))
(.f64 K (.f64 n (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))))
(.f64 n (.f64 K (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))))
(.f64 (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 K n))
(-.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K n)) 0)
(.f64 K (.f64 n (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))))
(.f64 n (.f64 K (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))))
(.f64 (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 K n))
(/.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K n)) 1)
(.f64 K (.f64 n (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))))
(.f64 n (.f64 K (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))))
(.f64 (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 K n))
(/.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 (+.f64 K K) n)) 2)
(.f64 K (.f64 n (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))))
(.f64 n (.f64 K (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))))
(.f64 (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 K n))
(/.f64 (.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (*.f64 K n)) 4) 4)
(.f64 K (.f64 n (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))))
(.f64 n (.f64 K (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))))
(.f64 (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 K n))
(/.f64 (+.f64 (.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K n)) 4) (.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 K n)) 4)) 8)
(.f64 K (.f64 n (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))))
(.f64 n (.f64 K (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))))
(.f64 (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 K n))

localize72.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(.f64 K (.f64 -1/2 (*.f64 (neg.f64 (sin.f64 M)) (+.f64 n m))))
✓	5.4b	(+.f64 (.f64 K (.f64 -1/2 (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)))) (+.f64 (.f64 (cos.f64 M) (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))) (cos.f64 M)))
✓	14.6b	(*.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2))
✓	30.3b	(.f64 (+.f64 (.f64 K (.f64 -1/2 (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)))) (+.f64 (.f64 (cos.f64 M) (.f64 -1/8 (*.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))) (cos.f64 M))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))

Compiler

Compiled 255 to 112 computations (56.1% saved)

series112.0ms (0.4%)

Counts

4 → 180

Calls

48 calls:

Time	Variable		Point	Expression
79.0ms	M	@	0	(.f64 (+.f64 (.f64 K (.f64 -1/2 (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)))) (+.f64 (.f64 (cos.f64 M) (.f64 -1/8 (*.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))) (cos.f64 M))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
3.0ms	n	@	-inf	(.f64 (+.f64 (.f64 K (.f64 -1/2 (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)))) (+.f64 (.f64 (cos.f64 M) (.f64 -1/8 (*.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))) (cos.f64 M))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
2.0ms	l	@	inf	(.f64 (+.f64 (.f64 K (.f64 -1/2 (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)))) (+.f64 (.f64 (cos.f64 M) (.f64 -1/8 (*.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))) (cos.f64 M))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
2.0ms	M	@	inf	(.f64 (+.f64 (.f64 K (.f64 -1/2 (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)))) (+.f64 (.f64 (cos.f64 M) (.f64 -1/8 (*.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))) (cos.f64 M))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
2.0ms	m	@	0	(.f64 (+.f64 (.f64 K (.f64 -1/2 (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)))) (+.f64 (.f64 (cos.f64 M) (.f64 -1/8 (*.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))) (cos.f64 M))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))

rewrite430.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

894×	`bool.json-1`
894×	`bool.json-2`
866×	`rational.json-1`
866×	`rational.json-2`
866×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	292
1	362	284
2	979	272
3	2474	272

Stop Event

1×	node limit

Counts

4 → 30

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 -1/8 (pow.f64 K 2))) 1))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 -1/8 (pow.f64 K 2))) 1))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 -1/8 (pow.f64 K 2))) 1))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 -1/8 (pow.f64 K 2))) 1))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2))) (.f64 2 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 -1/8 (pow.f64 K 2))) 1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 -1/8 (pow.f64 K 2))) 1))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (.f64 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 -1/8 (pow.f64 K 2))) 1))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2)))) 4) (.f64 (.f64 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 -1/8 (pow.f64 K 2))) 1))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 -1/8 (pow.f64 K 2))) 1))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 -1/8 (pow.f64 K 2))) 1))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2)))) (.f64 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 -1/8 (pow.f64 K 2))) 1))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 -1/8 (pow.f64 K 2))) 1))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2)))) (.f64 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 -1/8 (pow.f64 K 2))) 1))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 2 (pow.f64 K 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)) 4) (.f64 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)) (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)) (*.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 -1/8 (pow.f64 K 2))) 1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 -1/8 (pow.f64 K 2))) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 -1/8 (pow.f64 K 2))) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 -1/8 (pow.f64 K 2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 -1/8 (pow.f64 K 2))) 1)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 -1/8 (pow.f64 K 2))) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 -1/8 (pow.f64 K 2))) 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 -1/8 (pow.f64 K 2))) 1))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 -1/8 (pow.f64 K 2))) 1))) 4) (.f64 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 -1/8 (pow.f64 K 2))) 1))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 -1/8 (pow.f64 K 2))) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 -1/8 (pow.f64 K 2))) 1))) (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 -1/8 (pow.f64 K 2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 -1/8 (pow.f64 K 2))) 1))) (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (*.f64 -1/8 (pow.f64 K 2))) 1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 K (.f64 (neg.f64 (sin.f64 M)) (neg.f64 (+.f64 n m)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) 4) (.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 K (.f64 (+.f64 n m) (*.f64 (sin.f64 M) 1/2))))))))

simplify1.4s (5.5%)

Algorithm

1×	egg-herbie

Rules

1162×	`rational.json-simplify-44`
1150×	`rational.json-simplify-19`
1032×	`rational.json-simplify-47`
778×	`rational.json-simplify-1`
766×	`rational.json-simplify-35`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	462	26992
1	1151	26144
2	2265	23998
3	3667	23536
4	7891	23536

Stop Event

1×	node limit

Counts

210 → 371

Calls

Call 1

Inputs
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (cos.f64 M))
(+.f64 (.f64 1/2 (.f64 K (.f64 (sin.f64 M) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (+.f64 n m))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)))) (cos.f64 M)))
(+.f64 (.f64 1/2 (.f64 K (.f64 (sin.f64 M) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (+.f64 n m))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (.f64 (pow.f64 (+.f64 n m) 2) (cos.f64 M))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (cos.f64 M))))
(+.f64 (.f64 1/2 (.f64 K (.f64 (sin.f64 M) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (+.f64 n m))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (.f64 (pow.f64 (+.f64 n m) 2) (cos.f64 M))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (cos.f64 M))))
(.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (*.f64 (pow.f64 (+.f64 n m) 2) (cos.f64 M)))))
(+.f64 (.f64 1/2 (.f64 K (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (.f64 (sin.f64 M) (+.f64 n m))))) (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (.f64 (pow.f64 (+.f64 n m) 2) (cos.f64 M))))))
(+.f64 (.f64 1/2 (.f64 K (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (.f64 (sin.f64 M) (+.f64 n m))))) (+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (cos.f64 M)) (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (.f64 (pow.f64 (+.f64 n m) 2) (cos.f64 M)))))))
(+.f64 (.f64 1/2 (.f64 K (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (.f64 (sin.f64 M) (+.f64 n m))))) (+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (cos.f64 M)) (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (.f64 (pow.f64 (+.f64 n m) 2) (cos.f64 M)))))))
(.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (*.f64 (pow.f64 (+.f64 n m) 2) (cos.f64 M)))))
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(+.f64 (.f64 1/2 (.f64 K (.f64 (sin.f64 M) m))) (.f64 1/2 (.f64 n (.f64 K (sin.f64 M)))))
(+.f64 (.f64 1/2 (.f64 K (.f64 (sin.f64 M) m))) (.f64 1/2 (.f64 n (.f64 K (sin.f64 M)))))
(.f64 1/2 (.f64 K (*.f64 (sin.f64 M) m)))
(+.f64 (.f64 1/2 (.f64 K (.f64 (sin.f64 M) m))) (.f64 1/2 (.f64 n (.f64 K (sin.f64 M)))))
(+.f64 (.f64 1/2 (.f64 K (.f64 (sin.f64 M) m))) (.f64 1/2 (.f64 n (.f64 K (sin.f64 M)))))
(+.f64 (.f64 1/2 (.f64 K (.f64 (sin.f64 M) m))) (.f64 1/2 (.f64 n (.f64 K (sin.f64 M)))))
(.f64 1/2 (.f64 K (*.f64 (sin.f64 M) m)))
(+.f64 (.f64 1/2 (.f64 K (.f64 (sin.f64 M) m))) (.f64 1/2 (.f64 n (.f64 K (sin.f64 M)))))
(+.f64 (.f64 1/2 (.f64 K (.f64 (sin.f64 M) m))) (.f64 1/2 (.f64 n (.f64 K (sin.f64 M)))))
(+.f64 (.f64 1/2 (.f64 K (.f64 (sin.f64 M) m))) (.f64 1/2 (.f64 n (.f64 K (sin.f64 M)))))
(+.f64 (.f64 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 -1/8 (pow.f64 K 2))) 1))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2)))) 0)
(+.f64 0 (.f64 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 -1/8 (pow.f64 K 2))) 1))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2)))))
(-.f64 (.f64 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 -1/8 (pow.f64 K 2))) 1))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2)))) 0)
(/.f64 (.f64 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 -1/8 (pow.f64 K 2))) 1))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2)))) 1)
(/.f64 (.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2))) (.f64 2 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (*.f64 -1/8 (pow.f64 K 2))) 1))))) 2)
(/.f64 (.f64 (.f64 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 -1/8 (pow.f64 K 2))) 1))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (*.f64 (+.f64 n m) 1/2) M) 2)))) 4) 4)
(/.f64 (+.f64 (.f64 (.f64 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 -1/8 (pow.f64 K 2))) 1))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2)))) 4) (.f64 (.f64 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 -1/8 (pow.f64 K 2))) 1))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2)))) 4)) 8)
(+.f64 (*.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)) 0)
(+.f64 0 (*.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))
(-.f64 (*.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)) 0)
(/.f64 (*.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)) 1)
(/.f64 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 2 (pow.f64 K 2))) 2)
(/.f64 (.f64 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)) 4) 4)
(/.f64 (+.f64 (.f64 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)) 4) (.f64 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)) 4)) 8)
(-.f64 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 -1/8 (pow.f64 K 2))) 1))) 0)
(.f64 2 (/.f64 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (*.f64 -1/8 (pow.f64 K 2))) 1))) 2))
(.f64 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (*.f64 -1/8 (pow.f64 K 2))) 1))) 1)
(.f64 1 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (*.f64 -1/8 (pow.f64 K 2))) 1))))
(.f64 (.f64 2 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 -1/8 (pow.f64 K 2))) 1)))) 1/2)
(/.f64 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 -1/8 (pow.f64 K 2))) 1))) 1)
(/.f64 (.f64 2 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (*.f64 -1/8 (pow.f64 K 2))) 1)))) 2)
(/.f64 (.f64 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (*.f64 -1/8 (pow.f64 K 2))) 1))) 4) 4)
(/.f64 (+.f64 (.f64 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 -1/8 (pow.f64 K 2))) 1))) 4) (.f64 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 -1/8 (pow.f64 K 2))) 1))) 4)) 8)
(+.f64 (.f64 K (.f64 (+.f64 n m) (*.f64 (sin.f64 M) 1/2))) 0)
(+.f64 0 (.f64 K (.f64 (+.f64 n m) (*.f64 (sin.f64 M) 1/2))))
(-.f64 (.f64 K (.f64 (+.f64 n m) (*.f64 (sin.f64 M) 1/2))) 0)
(/.f64 (.f64 K (.f64 (+.f64 n m) (*.f64 (sin.f64 M) 1/2))) 1)
(/.f64 (.f64 K (.f64 (neg.f64 (sin.f64 M)) (neg.f64 (+.f64 n m)))) 2)
(/.f64 (.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) 4) 4)
(/.f64 (+.f64 (.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) 4) (.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) 4)) 8)

Outputs
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (cos.f64 M))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (cos.f64 M))
(+.f64 (.f64 1/2 (.f64 K (.f64 (sin.f64 M) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (+.f64 n m))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)))) (cos.f64 M)))
(+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (cos.f64 M)) (.f64 1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 K (*.f64 (+.f64 m n) (sin.f64 M))))))
(+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (cos.f64 M)) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 1/2 (.f64 (+.f64 m n) (*.f64 K (sin.f64 M))))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (+.f64 (cos.f64 M) (.f64 1/2 (.f64 (+.f64 m n) (*.f64 K (sin.f64 M))))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (+.f64 (cos.f64 M) (.f64 (+.f64 m n) (.f64 1/2 (*.f64 K (sin.f64 M))))))
(+.f64 (.f64 1/2 (.f64 K (.f64 (sin.f64 M) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (+.f64 n m))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (.f64 (pow.f64 (+.f64 n m) 2) (cos.f64 M))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (cos.f64 M))))
(+.f64 (.f64 -1/8 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 (pow.f64 (+.f64 m n) 2) (.f64 (cos.f64 M) (pow.f64 K 2))))) (+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (cos.f64 M)) (.f64 1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 K (.f64 (+.f64 m n) (sin.f64 M)))))))
(+.f64 (+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (cos.f64 M)) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 1/2 (.f64 (+.f64 m n) (.f64 K (sin.f64 M)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 (pow.f64 (+.f64 m n) 2) (.f64 -1/8 (.f64 (cos.f64 M) (pow.f64 K 2))))))
(+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (+.f64 (cos.f64 M) (.f64 1/2 (.f64 (+.f64 m n) (.f64 K (sin.f64 M)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 -1/8 (.f64 (pow.f64 (+.f64 m n) 2) (.f64 (cos.f64 M) (pow.f64 K 2))))))
(+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (+.f64 (cos.f64 M) (.f64 1/2 (.f64 (+.f64 m n) (.f64 K (sin.f64 M)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 (pow.f64 (+.f64 m n) 2) (.f64 -1/8 (.f64 (cos.f64 M) (pow.f64 K 2))))))
(+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (+.f64 (cos.f64 M) (.f64 (+.f64 m n) (.f64 1/2 (.f64 K (sin.f64 M)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 (pow.f64 (+.f64 m n) 2) (.f64 -1/8 (.f64 (cos.f64 M) (pow.f64 K 2))))))
(+.f64 (.f64 1/2 (.f64 K (.f64 (sin.f64 M) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (+.f64 n m))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (.f64 (pow.f64 (+.f64 n m) 2) (cos.f64 M))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (cos.f64 M))))
(+.f64 (.f64 -1/8 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 (pow.f64 (+.f64 m n) 2) (.f64 (cos.f64 M) (pow.f64 K 2))))) (+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (cos.f64 M)) (.f64 1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 K (.f64 (+.f64 m n) (sin.f64 M)))))))
(+.f64 (+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (cos.f64 M)) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 1/2 (.f64 (+.f64 m n) (.f64 K (sin.f64 M)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 (pow.f64 (+.f64 m n) 2) (.f64 -1/8 (.f64 (cos.f64 M) (pow.f64 K 2))))))
(+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (+.f64 (cos.f64 M) (.f64 1/2 (.f64 (+.f64 m n) (.f64 K (sin.f64 M)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 -1/8 (.f64 (pow.f64 (+.f64 m n) 2) (.f64 (cos.f64 M) (pow.f64 K 2))))))
(+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (+.f64 (cos.f64 M) (.f64 1/2 (.f64 (+.f64 m n) (.f64 K (sin.f64 M)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 (pow.f64 (+.f64 m n) 2) (.f64 -1/8 (.f64 (cos.f64 M) (pow.f64 K 2))))))
(+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (+.f64 (cos.f64 M) (.f64 (+.f64 m n) (.f64 1/2 (.f64 K (sin.f64 M)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 (pow.f64 (+.f64 m n) 2) (.f64 -1/8 (.f64 (cos.f64 M) (pow.f64 K 2))))))
(.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (*.f64 (pow.f64 (+.f64 n m) 2) (cos.f64 M)))))
(.f64 -1/8 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 (pow.f64 (+.f64 m n) 2) (*.f64 (cos.f64 M) (pow.f64 K 2)))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 (pow.f64 (+.f64 m n) 2) (.f64 -1/8 (*.f64 (cos.f64 M) (pow.f64 K 2)))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 -1/8 (.f64 (pow.f64 (+.f64 m n) 2) (*.f64 (cos.f64 M) (pow.f64 K 2)))))
(+.f64 (.f64 1/2 (.f64 K (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (.f64 (sin.f64 M) (+.f64 n m))))) (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (.f64 (pow.f64 (+.f64 n m) 2) (cos.f64 M))))))
(+.f64 (.f64 -1/8 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 (pow.f64 (+.f64 m n) 2) (.f64 (cos.f64 M) (pow.f64 K 2))))) (.f64 1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 K (.f64 (+.f64 m n) (sin.f64 M))))))
(+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 (pow.f64 (+.f64 m n) 2) (.f64 -1/8 (.f64 (cos.f64 M) (pow.f64 K 2))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 1/2 (.f64 (+.f64 m n) (.f64 K (sin.f64 M))))))
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(/.f64 (.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2))) (.f64 2 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (*.f64 -1/8 (pow.f64 K 2))) 1))))) 2)
(.f64 (+.f64 (.f64 (+.f64 m n) (.f64 (.f64 1/2 (sin.f64 M)) K)) (.f64 (cos.f64 M) (+.f64 1 (.f64 (pow.f64 (+.f64 m n) 2) (.f64 -1/8 (pow.f64 K 2)))))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)) l)))
(.f64 (+.f64 (.f64 1/2 (.f64 (+.f64 m n) (.f64 K (sin.f64 M)))) (.f64 (cos.f64 M) (+.f64 1 (.f64 (pow.f64 (+.f64 m n) 2) (.f64 -1/8 (pow.f64 K 2)))))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)) l)))
(.f64 (+.f64 (.f64 1/2 (.f64 (+.f64 m n) (.f64 K (sin.f64 M)))) (.f64 (cos.f64 M) (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 m n) 2)))))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))))
(.f64 (+.f64 (.f64 (+.f64 m n) (.f64 1/2 (.f64 K (sin.f64 M)))) (.f64 (cos.f64 M) (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 m n) 2)))))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))))
(/.f64 (.f64 (.f64 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 -1/8 (pow.f64 K 2))) 1))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (*.f64 (+.f64 n m) 1/2) M) 2)))) 4) 4)
(.f64 (+.f64 (.f64 (+.f64 m n) (.f64 (.f64 1/2 (sin.f64 M)) K)) (.f64 (cos.f64 M) (+.f64 1 (.f64 (pow.f64 (+.f64 m n) 2) (.f64 -1/8 (pow.f64 K 2)))))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)) l)))
(.f64 (+.f64 (.f64 1/2 (.f64 (+.f64 m n) (.f64 K (sin.f64 M)))) (.f64 (cos.f64 M) (+.f64 1 (.f64 (pow.f64 (+.f64 m n) 2) (.f64 -1/8 (pow.f64 K 2)))))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)) l)))
(.f64 (+.f64 (.f64 1/2 (.f64 (+.f64 m n) (.f64 K (sin.f64 M)))) (.f64 (cos.f64 M) (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 m n) 2)))))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))))
(.f64 (+.f64 (.f64 (+.f64 m n) (.f64 1/2 (.f64 K (sin.f64 M)))) (.f64 (cos.f64 M) (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 m n) 2)))))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))))
(/.f64 (+.f64 (.f64 (.f64 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 -1/8 (pow.f64 K 2))) 1))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2)))) 4) (.f64 (.f64 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 -1/8 (pow.f64 K 2))) 1))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (.f64 (+.f64 n m) 1/2) M) 2)))) 4)) 8)
(.f64 (+.f64 (.f64 (+.f64 m n) (.f64 (.f64 1/2 (sin.f64 M)) K)) (.f64 (cos.f64 M) (+.f64 1 (.f64 (pow.f64 (+.f64 m n) 2) (.f64 -1/8 (pow.f64 K 2)))))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)) l)))
(.f64 (+.f64 (.f64 1/2 (.f64 (+.f64 m n) (.f64 K (sin.f64 M)))) (.f64 (cos.f64 M) (+.f64 1 (.f64 (pow.f64 (+.f64 m n) 2) (.f64 -1/8 (pow.f64 K 2)))))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)) l)))
(.f64 (+.f64 (.f64 1/2 (.f64 (+.f64 m n) (.f64 K (sin.f64 M)))) (.f64 (cos.f64 M) (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 m n) 2)))))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))))
(.f64 (+.f64 (.f64 (+.f64 m n) (.f64 1/2 (.f64 K (sin.f64 M)))) (.f64 (cos.f64 M) (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 m n) 2)))))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))))
(+.f64 (*.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)) 0)
(*.f64 (pow.f64 K 2) (pow.f64 (+.f64 m n) 2))
(+.f64 0 (*.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))
(*.f64 (pow.f64 K 2) (pow.f64 (+.f64 m n) 2))
(-.f64 (*.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)) 0)
(*.f64 (pow.f64 K 2) (pow.f64 (+.f64 m n) 2))
(/.f64 (*.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)) 1)
(*.f64 (pow.f64 K 2) (pow.f64 (+.f64 m n) 2))
(/.f64 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 2 (pow.f64 K 2))) 2)
(*.f64 (pow.f64 K 2) (pow.f64 (+.f64 m n) 2))
(/.f64 (.f64 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)) 4) 4)
(*.f64 (pow.f64 K 2) (pow.f64 (+.f64 m n) 2))
(/.f64 (+.f64 (.f64 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)) 4) (.f64 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)) 4)) 8)
(*.f64 (pow.f64 K 2) (pow.f64 (+.f64 m n) 2))
(-.f64 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 -1/8 (pow.f64 K 2))) 1))) 0)
(+.f64 (.f64 (+.f64 m n) (.f64 (.f64 1/2 (sin.f64 M)) K)) (.f64 (cos.f64 M) (+.f64 1 (.f64 (pow.f64 (+.f64 m n) 2) (.f64 -1/8 (pow.f64 K 2))))))
(+.f64 (.f64 1/2 (.f64 (+.f64 m n) (.f64 K (sin.f64 M)))) (.f64 (cos.f64 M) (+.f64 1 (.f64 (pow.f64 (+.f64 m n) 2) (.f64 -1/8 (pow.f64 K 2))))))
(+.f64 (.f64 1/2 (.f64 (+.f64 m n) (.f64 K (sin.f64 M)))) (.f64 (cos.f64 M) (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 m n) 2))))))
(+.f64 (.f64 (+.f64 m n) (.f64 1/2 (.f64 K (sin.f64 M)))) (.f64 (cos.f64 M) (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 m n) 2))))))
(.f64 2 (/.f64 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (*.f64 -1/8 (pow.f64 K 2))) 1))) 2))
(+.f64 (.f64 (+.f64 m n) (.f64 (.f64 1/2 (sin.f64 M)) K)) (.f64 (cos.f64 M) (+.f64 1 (.f64 (pow.f64 (+.f64 m n) 2) (.f64 -1/8 (pow.f64 K 2))))))
(+.f64 (.f64 1/2 (.f64 (+.f64 m n) (.f64 K (sin.f64 M)))) (.f64 (cos.f64 M) (+.f64 1 (.f64 (pow.f64 (+.f64 m n) 2) (.f64 -1/8 (pow.f64 K 2))))))
(+.f64 (.f64 1/2 (.f64 (+.f64 m n) (.f64 K (sin.f64 M)))) (.f64 (cos.f64 M) (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 m n) 2))))))
(+.f64 (.f64 (+.f64 m n) (.f64 1/2 (.f64 K (sin.f64 M)))) (.f64 (cos.f64 M) (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 m n) 2))))))
(.f64 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (*.f64 -1/8 (pow.f64 K 2))) 1))) 1)
(+.f64 (.f64 (+.f64 m n) (.f64 (.f64 1/2 (sin.f64 M)) K)) (.f64 (cos.f64 M) (+.f64 1 (.f64 (pow.f64 (+.f64 m n) 2) (.f64 -1/8 (pow.f64 K 2))))))
(+.f64 (.f64 1/2 (.f64 (+.f64 m n) (.f64 K (sin.f64 M)))) (.f64 (cos.f64 M) (+.f64 1 (.f64 (pow.f64 (+.f64 m n) 2) (.f64 -1/8 (pow.f64 K 2))))))
(+.f64 (.f64 1/2 (.f64 (+.f64 m n) (.f64 K (sin.f64 M)))) (.f64 (cos.f64 M) (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 m n) 2))))))
(+.f64 (.f64 (+.f64 m n) (.f64 1/2 (.f64 K (sin.f64 M)))) (.f64 (cos.f64 M) (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 m n) 2))))))
(.f64 1 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (*.f64 -1/8 (pow.f64 K 2))) 1))))
(+.f64 (.f64 (+.f64 m n) (.f64 (.f64 1/2 (sin.f64 M)) K)) (.f64 (cos.f64 M) (+.f64 1 (.f64 (pow.f64 (+.f64 m n) 2) (.f64 -1/8 (pow.f64 K 2))))))
(+.f64 (.f64 1/2 (.f64 (+.f64 m n) (.f64 K (sin.f64 M)))) (.f64 (cos.f64 M) (+.f64 1 (.f64 (pow.f64 (+.f64 m n) 2) (.f64 -1/8 (pow.f64 K 2))))))
(+.f64 (.f64 1/2 (.f64 (+.f64 m n) (.f64 K (sin.f64 M)))) (.f64 (cos.f64 M) (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 m n) 2))))))
(+.f64 (.f64 (+.f64 m n) (.f64 1/2 (.f64 K (sin.f64 M)))) (.f64 (cos.f64 M) (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 m n) 2))))))
(.f64 (.f64 2 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 -1/8 (pow.f64 K 2))) 1)))) 1/2)
(+.f64 (.f64 (+.f64 m n) (.f64 (.f64 1/2 (sin.f64 M)) K)) (.f64 (cos.f64 M) (+.f64 1 (.f64 (pow.f64 (+.f64 m n) 2) (.f64 -1/8 (pow.f64 K 2))))))
(+.f64 (.f64 1/2 (.f64 (+.f64 m n) (.f64 K (sin.f64 M)))) (.f64 (cos.f64 M) (+.f64 1 (.f64 (pow.f64 (+.f64 m n) 2) (.f64 -1/8 (pow.f64 K 2))))))
(+.f64 (.f64 1/2 (.f64 (+.f64 m n) (.f64 K (sin.f64 M)))) (.f64 (cos.f64 M) (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 m n) 2))))))
(+.f64 (.f64 (+.f64 m n) (.f64 1/2 (.f64 K (sin.f64 M)))) (.f64 (cos.f64 M) (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 m n) 2))))))
(/.f64 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 -1/8 (pow.f64 K 2))) 1))) 1)
(+.f64 (.f64 (+.f64 m n) (.f64 (.f64 1/2 (sin.f64 M)) K)) (.f64 (cos.f64 M) (+.f64 1 (.f64 (pow.f64 (+.f64 m n) 2) (.f64 -1/8 (pow.f64 K 2))))))
(+.f64 (.f64 1/2 (.f64 (+.f64 m n) (.f64 K (sin.f64 M)))) (.f64 (cos.f64 M) (+.f64 1 (.f64 (pow.f64 (+.f64 m n) 2) (.f64 -1/8 (pow.f64 K 2))))))
(+.f64 (.f64 1/2 (.f64 (+.f64 m n) (.f64 K (sin.f64 M)))) (.f64 (cos.f64 M) (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 m n) 2))))))
(+.f64 (.f64 (+.f64 m n) (.f64 1/2 (.f64 K (sin.f64 M)))) (.f64 (cos.f64 M) (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 m n) 2))))))
(/.f64 (.f64 2 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (*.f64 -1/8 (pow.f64 K 2))) 1)))) 2)
(+.f64 (.f64 (+.f64 m n) (.f64 (.f64 1/2 (sin.f64 M)) K)) (.f64 (cos.f64 M) (+.f64 1 (.f64 (pow.f64 (+.f64 m n) 2) (.f64 -1/8 (pow.f64 K 2))))))
(+.f64 (.f64 1/2 (.f64 (+.f64 m n) (.f64 K (sin.f64 M)))) (.f64 (cos.f64 M) (+.f64 1 (.f64 (pow.f64 (+.f64 m n) 2) (.f64 -1/8 (pow.f64 K 2))))))
(+.f64 (.f64 1/2 (.f64 (+.f64 m n) (.f64 K (sin.f64 M)))) (.f64 (cos.f64 M) (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 m n) 2))))))
(+.f64 (.f64 (+.f64 m n) (.f64 1/2 (.f64 K (sin.f64 M)))) (.f64 (cos.f64 M) (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 m n) 2))))))
(/.f64 (.f64 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (*.f64 -1/8 (pow.f64 K 2))) 1))) 4) 4)
(+.f64 (.f64 (+.f64 m n) (.f64 (.f64 1/2 (sin.f64 M)) K)) (.f64 (cos.f64 M) (+.f64 1 (.f64 (pow.f64 (+.f64 m n) 2) (.f64 -1/8 (pow.f64 K 2))))))
(+.f64 (.f64 1/2 (.f64 (+.f64 m n) (.f64 K (sin.f64 M)))) (.f64 (cos.f64 M) (+.f64 1 (.f64 (pow.f64 (+.f64 m n) 2) (.f64 -1/8 (pow.f64 K 2))))))
(+.f64 (.f64 1/2 (.f64 (+.f64 m n) (.f64 K (sin.f64 M)))) (.f64 (cos.f64 M) (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 m n) 2))))))
(+.f64 (.f64 (+.f64 m n) (.f64 1/2 (.f64 K (sin.f64 M)))) (.f64 (cos.f64 M) (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 m n) 2))))))
(/.f64 (+.f64 (.f64 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 -1/8 (pow.f64 K 2))) 1))) 4) (.f64 (+.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) (.f64 (cos.f64 M) (+.f64 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 -1/8 (pow.f64 K 2))) 1))) 4)) 8)
(+.f64 (.f64 (+.f64 m n) (.f64 (.f64 1/2 (sin.f64 M)) K)) (.f64 (cos.f64 M) (+.f64 1 (.f64 (pow.f64 (+.f64 m n) 2) (.f64 -1/8 (pow.f64 K 2))))))
(+.f64 (.f64 1/2 (.f64 (+.f64 m n) (.f64 K (sin.f64 M)))) (.f64 (cos.f64 M) (+.f64 1 (.f64 (pow.f64 (+.f64 m n) 2) (.f64 -1/8 (pow.f64 K 2))))))
(+.f64 (.f64 1/2 (.f64 (+.f64 m n) (.f64 K (sin.f64 M)))) (.f64 (cos.f64 M) (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 m n) 2))))))
(+.f64 (.f64 (+.f64 m n) (.f64 1/2 (.f64 K (sin.f64 M)))) (.f64 (cos.f64 M) (+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 m n) 2))))))
(+.f64 (.f64 K (.f64 (+.f64 n m) (*.f64 (sin.f64 M) 1/2))) 0)
(.f64 1/2 (.f64 K (*.f64 (+.f64 m n) (sin.f64 M))))
(.f64 1/2 (.f64 (+.f64 m n) (*.f64 K (sin.f64 M))))
(.f64 (+.f64 m n) (.f64 1/2 (*.f64 K (sin.f64 M))))
(+.f64 0 (.f64 K (.f64 (+.f64 n m) (*.f64 (sin.f64 M) 1/2))))
(.f64 1/2 (.f64 K (*.f64 (+.f64 m n) (sin.f64 M))))
(.f64 1/2 (.f64 (+.f64 m n) (*.f64 K (sin.f64 M))))
(.f64 (+.f64 m n) (.f64 1/2 (*.f64 K (sin.f64 M))))
(-.f64 (.f64 K (.f64 (+.f64 n m) (*.f64 (sin.f64 M) 1/2))) 0)
(.f64 1/2 (.f64 K (*.f64 (+.f64 m n) (sin.f64 M))))
(.f64 1/2 (.f64 (+.f64 m n) (*.f64 K (sin.f64 M))))
(.f64 (+.f64 m n) (.f64 1/2 (*.f64 K (sin.f64 M))))
(/.f64 (.f64 K (.f64 (+.f64 n m) (*.f64 (sin.f64 M) 1/2))) 1)
(.f64 1/2 (.f64 K (*.f64 (+.f64 m n) (sin.f64 M))))
(.f64 1/2 (.f64 (+.f64 m n) (*.f64 K (sin.f64 M))))
(.f64 (+.f64 m n) (.f64 1/2 (*.f64 K (sin.f64 M))))
(/.f64 (.f64 K (.f64 (neg.f64 (sin.f64 M)) (neg.f64 (+.f64 n m)))) 2)
(.f64 (.f64 (neg.f64 (sin.f64 M)) (neg.f64 (+.f64 m n))) (/.f64 K 2))
(.f64 K (/.f64 (.f64 (neg.f64 (sin.f64 M)) (neg.f64 (+.f64 m n))) 2))
(.f64 K (.f64 (neg.f64 (+.f64 m n)) (*.f64 (sin.f64 M) -1/2)))
(.f64 K (.f64 (neg.f64 (sin.f64 M)) (/.f64 (+.f64 m n) -2)))
(/.f64 (.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) 4) 4)
(.f64 1/2 (.f64 K (*.f64 (+.f64 m n) (sin.f64 M))))
(.f64 1/2 (.f64 (+.f64 m n) (*.f64 K (sin.f64 M))))
(.f64 (+.f64 m n) (.f64 1/2 (*.f64 K (sin.f64 M))))
(/.f64 (+.f64 (.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) 4) (.f64 (.f64 K (.f64 (+.f64 n m) (.f64 (sin.f64 M) 1/2))) 4)) 8)
(.f64 1/2 (.f64 K (*.f64 (+.f64 m n) (sin.f64 M))))
(.f64 1/2 (.f64 (+.f64 m n) (*.f64 K (sin.f64 M))))
(.f64 (+.f64 m n) (.f64 1/2 (*.f64 K (sin.f64 M))))

eval4.7s (19%)

Compiler: Compiled 61107 to 33419 computations (45.3% saved)

prune1.5s (6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	998	7	1005
Fresh	0	0	0
Picked	1	0	1
Done	3	0	3
Total	1002	7	1009

Error

1.4b

Counts

1009 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	50.6b	(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 (pow.f64 (+.f64 m n) 2) 1/4)))) (+.f64 1 (.f64 (pow.f64 (+.f64 m n) 2) (.f64 -1/8 (pow.f64 K 2)))))
▶	47.1b	(.f64 (cos.f64 (-.f64 (.f64 K (/.f64 (+.f64 m n) 2)) M)) (exp.f64 (neg.f64 l)))
	29.8b	(.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (pow.f64 n 2))))
▶	28.4b	(.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (pow.f64 m 2))))
▶	27.4b	(*.f64 (cos.f64 M) (exp.f64 (neg.f64 (pow.f64 M 2))))
▶	43.1b	(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
▶	13.9b	(.f64 -1/2 (.f64 n (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))))))

Compiler

Compiled 284 to 218 computations (23.2% saved)

localize428.0ms (1.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))))
✓	0.0b	(pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)
✓	0.2b	(.f64 1/2 (.f64 K m))
	27.6b	(sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))

Compiler

Compiled 227 to 111 computations (51.1% saved)

series33.0ms (0.1%)

Counts

3 → 72

Calls

30 calls:

Time	Variable		Point	Expression
18.0ms	M	@	0	(.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))))
2.0ms	m	@	0	(.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))))
1.0ms	K	@	0	(.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))))
1.0ms	K	@	-inf	(.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))))
1.0ms	m	@	-inf	(.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))))

rewrite88.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2048×	`bool.json-1`
2048×	`bool.json-2`
1722×	`bool.json-3`
588×	`rational.json-1`
588×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	123
1	250	123
2	652	123
3	1631	123
4	6533	123

Stop Event

1×	node limit

Counts

3 → 25

Calls

Call 1

Inputs

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

(pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 K m)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/2 (*.f64 K m)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (*.f64 K m)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 K m) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (*.f64 K m)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 K (+.f64 m m)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 K m) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 1/2 (*.f64 K m))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 1/2 (*.f64 K m)) (*.f64 1/2 (*.f64 K m)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 1/2 (*.f64 K m)) (*.f64 1/2 (*.f64 K m)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2) 4) (*.f64 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x and (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2))))) (#(struct:change #<rule egg-rr> (2) ((x or (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 K (*.f64 (sin.f64 (-.f64 (*.f64 1/2 (*.f64 K m)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2) l))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 K (*.f64 (sin.f64 (-.f64 (*.f64 1/2 (*.f64 K m)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 K (*.f64 (sin.f64 (-.f64 (*.f64 1/2 (*.f64 K m)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2) l))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 K (*.f64 (sin.f64 (-.f64 (*.f64 1/2 (*.f64 K m)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2) l))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (-.f64 (*.f64 1/2 (*.f64 K m)) M)) (*.f64 (*.f64 2 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2) l)))) K)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 K (*.f64 (sin.f64 (-.f64 (*.f64 1/2 (*.f64 K m)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2) l))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 K (*.f64 (sin.f64 (-.f64 (*.f64 1/2 (*.f64 K m)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2) l))))) 4) (*.f64 (*.f64 K (*.f64 (sin.f64 (-.f64 (*.f64 1/2 (*.f64 K m)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2) l))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 K (*.f64 (sin.f64 (-.f64 (*.f64 1/2 (*.f64 K m)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2) l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 K (*.f64 (sin.f64 (-.f64 (*.f64 1/2 (*.f64 K m)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2) l))))) (*.f64 K (*.f64 (sin.f64 (-.f64 (*.f64 1/2 (*.f64 K m)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 K (*.f64 (sin.f64 (-.f64 (*.f64 1/2 (*.f64 K m)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2) l))))) (*.f64 K (*.f64 (sin.f64 (-.f64 (*.f64 1/2 (*.f64 K m)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2) l))))))))))

simplify436.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1146×	`rational.json-simplify-19`
1072×	`rational.json-simplify-43`
1070×	`rational.json-simplify-2`
990×	`rational.json-simplify-44`
836×	`rational.json-simplify-47`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	327	10367
1	782	9823
2	1591	9293
3	3187	8305
4	7669	8305

Stop Event

1×	node limit

Counts

97 → 170

Calls

Call 1

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

Outputs
(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 (*.f64 1/2 m) M) n))
(+.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 (-.f64 (.f64 1/2 m) M) n) (.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 (-.f64 (.f64 1/2 m) M) n) (.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 (.f64 (-.f64 (.f64 1/2 m) M) n) (*.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 (-.f64 (.f64 1/2 m) M) n) (.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 (-.f64 (.f64 1/2 m) M) n) (.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 (.f64 (-.f64 (.f64 1/2 m) M) n) (*.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 (-.f64 (.f64 1/2 m) M) n) (.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 (-.f64 (.f64 1/2 m) M) n) (.f64 1/4 (pow.f64 n 2))))
(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 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) (.f64 m (-.f64 (*.f64 1/2 n) 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 (.f64 m (-.f64 (.f64 1/2 n) M)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) (.f64 1/4 (pow.f64 m 2))))
(+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) (+.f64 (.f64 m (-.f64 (.f64 1/2 n) 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 m (-.f64 (.f64 1/2 n) M)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) (.f64 1/4 (pow.f64 m 2))))
(+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) (+.f64 (.f64 m (-.f64 (.f64 1/2 n) M)) (.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 m (-.f64 (.f64 1/2 n) 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 m (-.f64 (.f64 1/2 n) M)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) (.f64 1/4 (pow.f64 m 2))))
(+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) (+.f64 (.f64 m (-.f64 (.f64 1/2 n) 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 m (-.f64 (.f64 1/2 n) M)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) (.f64 1/4 (pow.f64 m 2))))
(+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) (+.f64 (.f64 m (-.f64 (.f64 1/2 n) M)) (.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 m (-.f64 (.f64 1/2 n) 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 m (-.f64 (.f64 1/2 n) M)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) (.f64 1/4 (pow.f64 m 2))))
(+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) (+.f64 (.f64 m (-.f64 (.f64 1/2 n) 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 m (-.f64 (.f64 1/2 n) M)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) (.f64 1/4 (pow.f64 m 2))))
(+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) (+.f64 (.f64 m (-.f64 (.f64 1/2 n) M)) (.f64 1/4 (pow.f64 m 2))))
(*.f64 1/4 (pow.f64 (+.f64 n m) 2))
(*.f64 1/4 (pow.f64 (+.f64 m n) 2))
(+.f64 (.f64 -1 (.f64 (+.f64 n m) M)) (*.f64 1/4 (pow.f64 (+.f64 n m) 2)))
(+.f64 (.f64 1/4 (pow.f64 (+.f64 m n) 2)) (.f64 (+.f64 m n) (neg.f64 M)))
(+.f64 (.f64 1/4 (pow.f64 (+.f64 m n) 2)) (.f64 M (neg.f64 (+.f64 m n))))
(+.f64 (.f64 -1 (.f64 (+.f64 n m) M)) (+.f64 (*.f64 1/4 (pow.f64 (+.f64 n m) 2)) (pow.f64 M 2)))
(+.f64 (.f64 1/4 (pow.f64 (+.f64 m n) 2)) (+.f64 (.f64 (+.f64 m n) (neg.f64 M)) (pow.f64 M 2)))
(+.f64 (.f64 1/4 (pow.f64 (+.f64 m n) 2)) (+.f64 (.f64 M (neg.f64 (+.f64 m n))) (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 1/4 (pow.f64 (+.f64 m n) 2)) (+.f64 (.f64 (+.f64 m n) (neg.f64 M)) (pow.f64 M 2)))
(+.f64 (.f64 1/4 (pow.f64 (+.f64 m n) 2)) (+.f64 (.f64 M (neg.f64 (+.f64 m n))) (pow.f64 M 2)))
(pow.f64 M 2)
(+.f64 (.f64 -1 (.f64 (+.f64 n m) M)) (pow.f64 M 2))
(+.f64 (*.f64 (+.f64 m n) (neg.f64 M)) (pow.f64 M 2))
(+.f64 (*.f64 M (neg.f64 (+.f64 m n))) (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 1/4 (pow.f64 (+.f64 m n) 2)) (+.f64 (.f64 (+.f64 m n) (neg.f64 M)) (pow.f64 M 2)))
(+.f64 (.f64 1/4 (pow.f64 (+.f64 m n) 2)) (+.f64 (.f64 M (neg.f64 (+.f64 m n))) (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 1/4 (pow.f64 (+.f64 m n) 2)) (+.f64 (.f64 (+.f64 m n) (neg.f64 M)) (pow.f64 M 2)))
(+.f64 (.f64 1/4 (pow.f64 (+.f64 m n) 2)) (+.f64 (.f64 M (neg.f64 (+.f64 m n))) (pow.f64 M 2)))
(pow.f64 M 2)
(+.f64 (.f64 -1 (.f64 (+.f64 n m) M)) (pow.f64 M 2))
(+.f64 (*.f64 (+.f64 m n) (neg.f64 M)) (pow.f64 M 2))
(+.f64 (*.f64 M (neg.f64 (+.f64 m n))) (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 1/4 (pow.f64 (+.f64 m n) 2)) (+.f64 (.f64 (+.f64 m n) (neg.f64 M)) (pow.f64 M 2)))
(+.f64 (.f64 1/4 (pow.f64 (+.f64 m n) 2)) (+.f64 (.f64 M (neg.f64 (+.f64 m n))) (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 1/4 (pow.f64 (+.f64 m n) 2)) (+.f64 (.f64 (+.f64 m n) (neg.f64 M)) (pow.f64 M 2)))
(+.f64 (.f64 1/4 (pow.f64 (+.f64 m n) 2)) (+.f64 (.f64 M (neg.f64 (+.f64 m n))) (pow.f64 M 2)))
(.f64 K (.f64 (sin.f64 (neg.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2))))))
(.f64 K (.f64 (neg.f64 (sin.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2))))))
(.f64 (neg.f64 (sin.f64 M)) (.f64 K (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2))))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (*.f64 K (neg.f64 (sin.f64 M))))
(+.f64 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))) (.f64 1/2 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) m)))))
(+.f64 (.f64 K (.f64 (neg.f64 (sin.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))))) (.f64 1/2 (.f64 (cos.f64 M) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 m (pow.f64 K 2))))))
(+.f64 (.f64 (neg.f64 (sin.f64 M)) (.f64 K (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))))) (.f64 1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 (.f64 m (pow.f64 K 2)) (cos.f64 M)))))
(+.f64 (.f64 K (.f64 (neg.f64 (sin.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))))) (.f64 1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 (cos.f64 M) (.f64 m (pow.f64 K 2))))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (+.f64 (.f64 K (neg.f64 (sin.f64 M))) (.f64 (.f64 (cos.f64 M) (.f64 m (pow.f64 K 2))) 1/2)))
(+.f64 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 3) (.f64 (sin.f64 (neg.f64 M)) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (pow.f64 m 2))))) (.f64 1/2 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 n m)) M) 2)))) m))))))
(+.f64 (.f64 K (.f64 (neg.f64 (sin.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 M) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 m (pow.f64 K 2))))) (.f64 -1/8 (.f64 (pow.f64 K 3) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (*.f64 (pow.f64 m 2) (neg.f64 (sin.f64 M))))))))
(+.f64 (.f64 1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 (.f64 m (pow.f64 K 2)) (cos.f64 M)))) (+.f64 (.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 (pow.f64 m 2) (neg.f64 (sin.f64 M)))) (.f64 (pow.f64 K 3) -1/8)) (.f64 (neg.f64 (sin.f64 M)) (.f64 K (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2))))))))
(+.f64 (.f64 1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 (cos.f64 M) (.f64 m (pow.f64 K 2))))) (.f64 (neg.f64 (sin.f64 M)) (+.f64 (.f64 K (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))))) (.f64 -1/8 (.f64 (pow.f64 m 2) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (pow.f64 K 3)))))))
(+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 (.f64 (cos.f64 M) (.f64 m (pow.f64 K 2))) 1/2)) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (+.f64 (.f64 K (neg.f64 (sin.f64 M))) (.f64 (.f64 (pow.f64 K 3) (*.f64 (pow.f64 m 2) (neg.f64 (sin.f64 M)))) -1/8))))
(+.f64 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))) (+.f64 (.f64 -1/48 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 4) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (pow.f64 m 3))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 3) (.f64 (sin.f64 (neg.f64 M)) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) (pow.f64 m 2))))) (.f64 1/2 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))) m)))))))
(+.f64 (.f64 K (.f64 (neg.f64 (sin.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 3) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 (pow.f64 m 2) (neg.f64 (sin.f64 M)))))) (+.f64 (.f64 1/2 (.f64 (cos.f64 M) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 m (pow.f64 K 2))))) (.f64 (cos.f64 M) (.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 (pow.f64 m 3) (pow.f64 K 4))) -1/48)))))
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(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 m K)) M)) (+.f64 K (neg.f64 (.f64 K l)))))
(+.f64 (.f64 -1 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (.f64 K (.f64 l (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))))) (+.f64 (.f64 1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (.f64 K (.f64 (pow.f64 l 2) (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (.f64 K (sin.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M))))))
(+.f64 (.f64 -1 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (.f64 K (.f64 l (sin.f64 (-.f64 (.f64 1/2 (.f64 m K)) M)))))) (+.f64 (.f64 (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 m K)) M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (.f64 (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (*.f64 m K)) M)) (pow.f64 l 2))) 1/2))))
(+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (neg.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 m K)) M)) (.f64 l K)))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (+.f64 (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 m K)) M))) (.f64 1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 m K)) M)) (.f64 (pow.f64 l 2) K))))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (+.f64 (.f64 (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 m K)) M))) (neg.f64 l)) (+.f64 (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 m K)) M))) (.f64 1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 m K)) M)) (.f64 K (pow.f64 l 2)))))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (+.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 m K)) M)) (neg.f64 (.f64 K l))) (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 m K)) M)) (+.f64 K (.f64 (*.f64 K (pow.f64 l 2)) 1/2)))))
(+.f64 (.f64 -1 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (.f64 K (.f64 l (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))))) (+.f64 (.f64 1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (.f64 K (.f64 (pow.f64 l 2) (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))))) (+.f64 (.f64 -1/6 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (.f64 K (.f64 (pow.f64 l 3) (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2))) (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))))))
(+.f64 (.f64 -1 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (.f64 K (.f64 l (sin.f64 (-.f64 (.f64 1/2 (.f64 m K)) M)))))) (+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (.f64 (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 m K)) M)) (pow.f64 l 2))) 1/2)) (+.f64 (.f64 (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 m K)) M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (.f64 (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 m K)) M)) (pow.f64 l 3))) -1/6)))))
(+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (+.f64 (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 m K)) M))) (.f64 -1/6 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 m K)) M)) (.f64 (pow.f64 l 3) K))))) (+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (.f64 1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 m K)) M)) (.f64 (pow.f64 l 2) K)))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (neg.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 m K)) M)) (*.f64 l K))))))
(+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (.f64 (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 m K)) M))) (neg.f64 l))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (+.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 m K)) M)) (.f64 (.f64 K (pow.f64 l 3)) -1/6)) (+.f64 (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 m K)) M))) (.f64 1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 m K)) M)) (*.f64 K (pow.f64 l 2))))))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (+.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 m K)) M)) (neg.f64 (.f64 K l))) (+.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 m K)) M)) (.f64 (.f64 K (pow.f64 l 3)) -1/6)) (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 m K)) M)) (+.f64 K (.f64 (.f64 K (pow.f64 l 2)) 1/2))))))
(.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 m K)) M)) (exp.f64 (-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 -1 l)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))))
(.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 m K)) M)) (.f64 K (exp.f64 (-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (neg.f64 l)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)))))
(.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 m K)) M)) (exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)) (neg.f64 l)))))
(.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 m K)) M)) (.f64 K (exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)) (neg.f64 l)))))
(.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 m K)) M)) (exp.f64 (-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 -1 l)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))))
(.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 m K)) M)) (.f64 K (exp.f64 (-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (neg.f64 l)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)))))
(.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 m K)) M)) (exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)) (neg.f64 l)))))
(.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 m K)) M)) (.f64 K (exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)) (neg.f64 l)))))
(.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 m K)) M)) (exp.f64 (-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 -1 l)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))))
(.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 m K)) M)) (.f64 K (exp.f64 (-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (neg.f64 l)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)))))
(.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 m K)) M)) (exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)) (neg.f64 l)))))
(.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 m K)) M)) (.f64 K (exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)) (neg.f64 l)))))
(.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 (-.f64 (.f64 1/2 (+.f64 n m)) M) 2)))))
(.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 m K)) M)) (exp.f64 (-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 -1 l)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))))
(.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 m K)) M)) (.f64 K (exp.f64 (-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (neg.f64 l)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)))))
(.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 m K)) M)) (exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)) (neg.f64 l)))))
(.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 m K)) M)) (.f64 K (exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)) (neg.f64 l)))))
(+.f64 (.f64 1/2 (.f64 K m)) 0)
(.f64 1/2 (.f64 m K))
(+.f64 0 (.f64 1/2 (.f64 K m)))
(.f64 1/2 (.f64 m K))
(-.f64 (.f64 1/2 (.f64 K m)) 0)
(.f64 1/2 (.f64 m K))
(/.f64 (*.f64 K m) 2)
(.f64 1/2 (.f64 m K))
(/.f64 (.f64 1/2 (.f64 K m)) 1)
(.f64 1/2 (.f64 m K))
(/.f64 (*.f64 K (+.f64 m m)) 4)
(.f64 1/2 (.f64 m K))
(/.f64 (.f64 (.f64 K m) 4) 8)
(.f64 1/2 (.f64 m K))
(+.f64 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2) 0)
(pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)
(+.f64 0 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2))
(pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)
(-.f64 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2) 0)
(pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)
(.f64 2 (/.f64 (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2) 2))
(pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)
(.f64 (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2) 1)
(pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)
(.f64 1 (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))
(pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)
(.f64 (.f64 2 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)) 1/2)
(pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)
(/.f64 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2) 1)
(pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)
(/.f64 (.f64 2 (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)) 2)
(pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)
(/.f64 (.f64 (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2) 4) 4)
(pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)
(/.f64 (+.f64 (.f64 (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2) 4) (.f64 (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2) 4)) 8)
(pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)
(+.f64 (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2) l))))) 0)
(.f64 K (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (sin.f64 (-.f64 (.f64 1/2 (*.f64 m K)) M))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 K (sin.f64 (-.f64 (.f64 1/2 (*.f64 m K)) M))))
(+.f64 0 (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2) l))))))
(.f64 K (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (sin.f64 (-.f64 (.f64 1/2 (*.f64 m K)) M))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 K (sin.f64 (-.f64 (.f64 1/2 (*.f64 m K)) M))))
(-.f64 (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2) l))))) 0)
(.f64 K (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (sin.f64 (-.f64 (.f64 1/2 (*.f64 m K)) M))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 K (sin.f64 (-.f64 (.f64 1/2 (*.f64 m K)) M))))
(/.f64 (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2) l))))) 1)
(.f64 K (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (sin.f64 (-.f64 (.f64 1/2 (*.f64 m K)) M))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 K (sin.f64 (-.f64 (.f64 1/2 (*.f64 m K)) M))))
(/.f64 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 (.f64 2 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2) l)))) K)) 2)
(.f64 K (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (sin.f64 (-.f64 (.f64 1/2 (*.f64 m K)) M))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 K (sin.f64 (-.f64 (.f64 1/2 (*.f64 m K)) M))))
(/.f64 (.f64 (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2) l))))) 4) 4)
(.f64 K (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (sin.f64 (-.f64 (.f64 1/2 (*.f64 m K)) M))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 K (sin.f64 (-.f64 (.f64 1/2 (*.f64 m K)) M))))
(/.f64 (+.f64 (.f64 (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2) l))))) 4) (.f64 (.f64 K (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2) l))))) 4)) 8)
(.f64 K (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (sin.f64 (-.f64 (.f64 1/2 (*.f64 m K)) M))))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (.f64 K (sin.f64 (-.f64 (.f64 1/2 (*.f64 m K)) M))))

localize9.0ms (0%)

Compiler: Compiled 20 to 9 computations (55% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (*.f64 K (/.f64 (+.f64 m n) 2)) M)
✓	0.0b	(.f64 (cos.f64 (-.f64 (.f64 K (/.f64 (+.f64 m n) 2)) M)) (exp.f64 (neg.f64 l)))
	0.0b	(*.f64 K (/.f64 (+.f64 m n) 2))
	35.5b	(cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 m n) 2)) M))

Compiler

Compiled 64 to 29 computations (54.7% saved)

series8.0ms (0%)

Counts

1 → 60

Calls

15 calls:

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

rewrite92.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1648×	`bool.json-1`
1648×	`bool.json-2`
1596×	`rational.json-1`
1596×	`rational.json-2`
1178×	`bool.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	43
1	173	39
2	470	39
3	1046	39
4	2328	39
5	5626	39

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M)) (exp.f64 l)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M)) (exp.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M)) (exp.f64 l)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 2 (/.f64 (exp.f64 l) (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (*.f64 2 (/.f64 (exp.f64 l) (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (/.f64 (exp.f64 l) (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 2 (exp.f64 l)) (neg.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M)) (exp.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M)) (*.f64 -1 (neg.f64 (exp.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (neg.f64 l)) (/.f64 1 (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M)) (exp.f64 l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 l) (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (exp.f64 l) (*.f64 2 (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (-.f64 0 (/.f64 (exp.f64 l) (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (+.f64 (*.f64 2 (/.f64 (exp.f64 l) (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M)))) (*.f64 2 (/.f64 (exp.f64 l) (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (*.f64 4 (exp.f64 l)) (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (*.f64 4 (exp.f64 l)) (neg.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M)) (exp.f64 l))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M))) (*.f64 2 (exp.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (exp.f64 l) (*.f64 2 (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M)) 4) (*.f64 4 (exp.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M)) (exp.f64 l)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M))) (neg.f64 (exp.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (exp.f64 l) (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M))) (*.f64 (/.f64 (exp.f64 l) (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M))) (/.f64 (exp.f64 l) (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (exp.f64 l) (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M)))) (*.f64 (*.f64 (/.f64 (exp.f64 l) (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M))) (/.f64 (exp.f64 l) (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M)) (exp.f64 l)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M)))) (*.f64 2 (neg.f64 (exp.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M)))) (*.f64 (*.f64 2 (neg.f64 (exp.f64 l))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M)) 4)) (*.f64 2 (*.f64 4 (exp.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M)) 4)) (*.f64 8 (exp.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M)) 1/2) (*.f64 (exp.f64 l) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M)) (/.f64 1/2 (exp.f64 l))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M)))) (neg.f64 (*.f64 2 (exp.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M)))) (*.f64 (neg.f64 (*.f64 2 (exp.f64 l))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M)))) (*.f64 (neg.f64 (exp.f64 l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M)))) (exp.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M)))) (-.f64 0 (neg.f64 (exp.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (/.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M)) (exp.f64 l)) 4)) (*.f64 2 (*.f64 (/.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M)) (exp.f64 l)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (neg.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M)))) (*.f64 2 (neg.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M))))) (+.f64 (*.f64 2 (neg.f64 (exp.f64 l))) (*.f64 2 (neg.f64 (exp.f64 l)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 2 (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M)))) (neg.f64 (*.f64 2 (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M))))) (+.f64 (neg.f64 (*.f64 2 (exp.f64 l))) (neg.f64 (*.f64 2 (exp.f64 l)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M)))) (neg.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M))))) (*.f64 2 (exp.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M)) 4)) (exp.f64 l)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M)) (neg.f64 (exp.f64 l))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M)))) 2) (*.f64 (exp.f64 l) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M)) 4)) (-.f64 0 (*.f64 4 (exp.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 2 (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M))))) (*.f64 2 (exp.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M))))) (neg.f64 (exp.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M)) (exp.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M)) (exp.f64 l)) (/.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M)) (exp.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M)) (exp.f64 l)) (/.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 (+.f64 m n) 1/2)) M)) (exp.f64 l)))))))

simplify512.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1272×	`rational.json-simplify-51`
904×	`rational.json-simplify-35`
902×	`rational.json-simplify-43`
864×	`rational.json-simplify-2`
778×	`rational.json-simplify-49`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	264	6185
1	785	5701
2	1926	5437
3	4878	5333
4	7599	5333

Stop Event

1×	node limit

Counts

107 → 138

Calls

Call 1

Inputs
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(+.f64 (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M))) (.f64 -1/2 (.f64 (exp.f64 (neg.f64 l)) (.f64 K (*.f64 (sin.f64 (neg.f64 M)) (+.f64 n m))))))
(+.f64 (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (neg.f64 l)) (.f64 K (.f64 (sin.f64 (neg.f64 M)) (+.f64 n m))))) (.f64 -1/8 (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (neg.f64 M)) (*.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))))))
(+.f64 (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M))) (+.f64 (.f64 1/48 (.f64 (exp.f64 (neg.f64 l)) (.f64 (pow.f64 K 3) (.f64 (sin.f64 (neg.f64 M)) (pow.f64 (+.f64 n m) 3))))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (neg.f64 l)) (.f64 K (.f64 (sin.f64 (neg.f64 M)) (+.f64 n m))))) (.f64 -1/8 (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (neg.f64 M)) (*.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2))))))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M)))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 (neg.f64 l)) (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m)))) (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M))))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 (neg.f64 l)) (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m)))) (+.f64 (.f64 -1/8 (.f64 (exp.f64 (neg.f64 l)) (.f64 (pow.f64 K 2) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (pow.f64 m 2))))) (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M)))))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 (neg.f64 l)) (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m)))) (+.f64 (.f64 -1/8 (.f64 (exp.f64 (neg.f64 l)) (.f64 (pow.f64 K 2) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (pow.f64 m 2))))) (+.f64 (.f64 1/48 (.f64 (exp.f64 (neg.f64 l)) (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 (pow.f64 K 3) (pow.f64 m 3))))) (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M))))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (.f64 -1 m)))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (.f64 -1 m)))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (.f64 -1 m)))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (.f64 -1 m)))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 (neg.f64 l)) (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))))) (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M))))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 (neg.f64 l)) (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))))) (+.f64 (.f64 -1/8 (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 (pow.f64 n 2) (pow.f64 K 2))))) (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)))))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 (neg.f64 l)) (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))))) (+.f64 (.f64 -1/8 (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 (pow.f64 n 2) (pow.f64 K 2))))) (+.f64 (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))) (.f64 1/48 (.f64 (exp.f64 (neg.f64 l)) (.f64 (pow.f64 n 3) (.f64 (pow.f64 K 3) (sin.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)))))))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (.f64 -1 n)))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (.f64 -1 n)))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (.f64 -1 n)))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (.f64 -1 n)))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (.f64 (exp.f64 (neg.f64 l)) M)) (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m))))))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 (neg.f64 l)) (.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)))) (.f64 (exp.f64 (neg.f64 l)) M)) (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))))))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 (neg.f64 l)) (.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)))) (.f64 (exp.f64 (neg.f64 l)) M)) (+.f64 (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))) (.f64 -1/6 (.f64 (exp.f64 (neg.f64 l)) (.f64 (sin.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))) (pow.f64 M 3)))))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (.f64 K (+.f64 n m))))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (.f64 K (+.f64 n m))))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (.f64 K (+.f64 n m))))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (.f64 K (+.f64 n m))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)) (.f64 -1 (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)) l)))
(+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)) (+.f64 (.f64 1/2 (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)) (pow.f64 l 2))) (.f64 -1 (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)) l))))
(+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)) (+.f64 (.f64 1/2 (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)) (pow.f64 l 2))) (+.f64 (.f64 -1/6 (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)) (pow.f64 l 3))) (.f64 -1 (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)) l)))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) M)))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)) (exp.f64 (.f64 -1 l)))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)) (exp.f64 (.f64 -1 l)))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)) (exp.f64 (.f64 -1 l)))
(.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)) (exp.f64 (.f64 -1 l)))
(+.f64 (/.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) (exp.f64 l)) 0)
(+.f64 0 (/.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) (exp.f64 l)))
(-.f64 (/.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) (exp.f64 l)) 0)
(/.f64 2 (.f64 2 (/.f64 (exp.f64 l) (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 m n) 1/2)) M)))))
(/.f64 2 (.f64 (.f64 2 (/.f64 (exp.f64 l) (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)))) 1))
(/.f64 2 (.f64 (/.f64 (exp.f64 l) (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 m n) 1/2)) M))) 2))
(/.f64 2 (/.f64 (.f64 2 (exp.f64 l)) (neg.f64 (neg.f64 (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 m n) 1/2)) M))))))
(/.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) (exp.f64 l))
(/.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) (*.f64 -1 (neg.f64 (exp.f64 l))))
(/.f64 (exp.f64 (neg.f64 l)) (/.f64 1 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))))
(/.f64 (/.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) (exp.f64 l)) 1)
(/.f64 1 (/.f64 (exp.f64 l) (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))))
(/.f64 1 (.f64 (/.f64 (exp.f64 l) (.f64 2 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)))) 2))
(/.f64 -1 (-.f64 0 (/.f64 (exp.f64 l) (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)))))
(/.f64 4 (+.f64 (.f64 2 (/.f64 (exp.f64 l) (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)))) (.f64 2 (/.f64 (exp.f64 l) (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))))))
(/.f64 4 (/.f64 (.f64 4 (exp.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 m n) 1/2)) M))))
(/.f64 4 (/.f64 (.f64 4 (exp.f64 l)) (neg.f64 (neg.f64 (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 m n) 1/2)) M))))))
(/.f64 (.f64 2 (/.f64 (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 m n) 1/2)) M)) (exp.f64 l))) 2)
(/.f64 (.f64 2 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))) (.f64 2 (exp.f64 l)))
(/.f64 1/2 (/.f64 (exp.f64 l) (.f64 2 (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 m n) 1/2)) M)))))
(/.f64 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) 4) (.f64 4 (exp.f64 l)))
(/.f64 (.f64 (/.f64 (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 m n) 1/2)) M)) (exp.f64 l)) 4) 4)
(/.f64 (neg.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))) (neg.f64 (exp.f64 l)))
(/.f64 (/.f64 (exp.f64 l) (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))) (.f64 (/.f64 (exp.f64 l) (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))) (/.f64 (exp.f64 l) (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 m n) 1/2)) M)))))
(/.f64 (.f64 2 (/.f64 (exp.f64 l) (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)))) (.f64 (.f64 (/.f64 (exp.f64 l) (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))) (/.f64 (exp.f64 l) (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 m n) 1/2)) M)))) 2))
(/.f64 (.f64 2 (.f64 (/.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) (exp.f64 l)) 4)) 8)
(/.f64 (.f64 2 (neg.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)))) (.f64 2 (neg.f64 (exp.f64 l))))
(/.f64 (.f64 2 (neg.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)))) (.f64 (*.f64 2 (neg.f64 (exp.f64 l))) 1))
(/.f64 (.f64 2 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) 4)) (.f64 2 (.f64 4 (exp.f64 l))))
(/.f64 (.f64 2 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) 4)) (*.f64 8 (exp.f64 l)))
(/.f64 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) 1/2) (.f64 (exp.f64 l) 1/2))
(/.f64 (.f64 (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 m n) 1/2)) M)) (/.f64 1/2 (exp.f64 l))) 1/2)
(/.f64 (neg.f64 (.f64 2 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)))) (neg.f64 (.f64 2 (exp.f64 l))))
(/.f64 (neg.f64 (.f64 2 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)))) (.f64 (neg.f64 (*.f64 2 (exp.f64 l))) 1))
(/.f64 (neg.f64 (.f64 2 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)))) (.f64 (neg.f64 (exp.f64 l)) 2))
(/.f64 (neg.f64 (neg.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)))) (exp.f64 l))
(/.f64 (neg.f64 (neg.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)))) (-.f64 0 (neg.f64 (exp.f64 l))))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) (exp.f64 l)) 4)) (.f64 2 (.f64 (/.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) (exp.f64 l)) 4))) 16)
(/.f64 (+.f64 (.f64 2 (neg.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)))) (.f64 2 (neg.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))))) (+.f64 (.f64 2 (neg.f64 (exp.f64 l))) (.f64 2 (neg.f64 (exp.f64 l)))))
(/.f64 (+.f64 (neg.f64 (.f64 2 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)))) (neg.f64 (.f64 2 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))))) (+.f64 (neg.f64 (.f64 2 (exp.f64 l))) (neg.f64 (.f64 2 (exp.f64 l)))))
(/.f64 (+.f64 (neg.f64 (neg.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)))) (neg.f64 (neg.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))))) (*.f64 2 (exp.f64 l)))
(/.f64 (/.f64 (.f64 2 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) 4)) (exp.f64 l)) 8)
(/.f64 (/.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) (neg.f64 (exp.f64 l))) -1)
(/.f64 (/.f64 (neg.f64 (neg.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)))) 2) (*.f64 (exp.f64 l) 1/2))
(/.f64 (neg.f64 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) 4)) (-.f64 0 (.f64 4 (exp.f64 l))))
(/.f64 (neg.f64 (neg.f64 (.f64 2 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))))) (.f64 2 (exp.f64 l)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))))) (neg.f64 (exp.f64 l)))

Outputs
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 M))
(+.f64 (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M))) (.f64 -1/2 (.f64 (exp.f64 (neg.f64 l)) (.f64 K (*.f64 (sin.f64 (neg.f64 M)) (+.f64 n m))))))
(+.f64 (.f64 (exp.f64 (neg.f64 l)) (cos.f64 M)) (.f64 (exp.f64 (neg.f64 l)) (.f64 (.f64 K (*.f64 (neg.f64 (sin.f64 M)) (+.f64 n m))) -1/2)))
(.f64 (exp.f64 (neg.f64 l)) (+.f64 (cos.f64 M) (.f64 -1/2 (.f64 (neg.f64 (sin.f64 M)) (.f64 K (+.f64 n m))))))
(.f64 (exp.f64 (neg.f64 l)) (+.f64 (cos.f64 M) (.f64 (neg.f64 (sin.f64 M)) (.f64 (.f64 K (+.f64 n m)) -1/2))))
(+.f64 (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (neg.f64 l)) (.f64 K (.f64 (sin.f64 (neg.f64 M)) (+.f64 n m))))) (.f64 -1/8 (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (neg.f64 M)) (*.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))))))
(+.f64 (.f64 (exp.f64 (neg.f64 l)) (cos.f64 M)) (+.f64 (.f64 (exp.f64 (neg.f64 l)) (.f64 (.f64 K (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m))) -1/2)) (.f64 (exp.f64 (neg.f64 l)) (.f64 (.f64 (cos.f64 M) (*.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2))) -1/8))))
(+.f64 (.f64 (exp.f64 (neg.f64 l)) (.f64 -1/2 (.f64 (neg.f64 (sin.f64 M)) (.f64 K (+.f64 n m))))) (.f64 (exp.f64 (neg.f64 l)) (+.f64 (cos.f64 M) (.f64 -1/8 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 (cos.f64 M) (pow.f64 K 2)))))))
(.f64 (exp.f64 (neg.f64 l)) (+.f64 (.f64 (neg.f64 (sin.f64 M)) (.f64 (.f64 K (+.f64 n m)) -1/2)) (+.f64 (cos.f64 M) (.f64 (cos.f64 M) (.f64 (*.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)) -1/8)))))
(.f64 (exp.f64 (neg.f64 l)) (+.f64 (.f64 (cos.f64 M) (.f64 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)) -1/8)) (+.f64 (cos.f64 M) (.f64 (neg.f64 (sin.f64 M)) (.f64 (*.f64 K (+.f64 n m)) -1/2)))))
(+.f64 (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M))) (+.f64 (.f64 1/48 (.f64 (exp.f64 (neg.f64 l)) (.f64 (pow.f64 K 3) (.f64 (sin.f64 (neg.f64 M)) (pow.f64 (+.f64 n m) 3))))) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (neg.f64 l)) (.f64 K (.f64 (sin.f64 (neg.f64 M)) (+.f64 n m))))) (.f64 -1/8 (.f64 (exp.f64 (neg.f64 l)) (.f64 (cos.f64 (neg.f64 M)) (*.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2))))))))
(+.f64 (.f64 (exp.f64 (neg.f64 l)) (cos.f64 M)) (+.f64 (.f64 (exp.f64 (neg.f64 l)) (.f64 (.f64 K (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m))) -1/2)) (+.f64 (.f64 (exp.f64 (neg.f64 l)) (.f64 (.f64 (cos.f64 M) (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2))) -1/8)) (.f64 (exp.f64 (neg.f64 l)) (.f64 (.f64 (neg.f64 (sin.f64 M)) (*.f64 (pow.f64 (+.f64 n m) 3) (pow.f64 K 3))) 1/48)))))
(+.f64 (.f64 (exp.f64 (neg.f64 l)) (.f64 -1/2 (.f64 (neg.f64 (sin.f64 M)) (.f64 K (+.f64 n m))))) (+.f64 (.f64 (exp.f64 (neg.f64 l)) (+.f64 (cos.f64 M) (.f64 -1/8 (.f64 (pow.f64 (+.f64 n m) 2) (.f64 (cos.f64 M) (pow.f64 K 2)))))) (.f64 (exp.f64 (neg.f64 l)) (.f64 1/48 (.f64 (neg.f64 (sin.f64 M)) (.f64 (pow.f64 K 3) (pow.f64 (+.f64 n m) 3)))))))
(+.f64 (.f64 (exp.f64 (neg.f64 l)) (.f64 (neg.f64 (sin.f64 M)) (.f64 (.f64 K (+.f64 n m)) -1/2))) (.f64 (exp.f64 (neg.f64 l)) (+.f64 (.f64 (neg.f64 (sin.f64 M)) (.f64 (.f64 (pow.f64 K 3) (pow.f64 (+.f64 n m) 3)) 1/48)) (+.f64 (cos.f64 M) (.f64 (cos.f64 M) (.f64 (*.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)) -1/8))))))
(.f64 (exp.f64 (neg.f64 l)) (+.f64 (.f64 (neg.f64 (sin.f64 M)) (.f64 (.f64 (pow.f64 K 3) (pow.f64 (+.f64 n m) 3)) 1/48)) (+.f64 (.f64 (cos.f64 M) (.f64 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)) -1/8)) (+.f64 (cos.f64 M) (.f64 (neg.f64 (sin.f64 M)) (.f64 (.f64 K (+.f64 n m)) -1/2))))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M)))
(/.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) (exp.f64 l))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M)))
(/.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) (exp.f64 l))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M)))
(/.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) (exp.f64 l))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M)))
(/.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) (exp.f64 l))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M)))
(/.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) (exp.f64 l))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M)))
(/.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) (exp.f64 l))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M)))
(/.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) (exp.f64 l))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 n m))) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M)))
(/.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) (exp.f64 l))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 1/2 n)) M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 n 1/2)) M)))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 (neg.f64 l)) (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m)))) (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M))))
(+.f64 (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))) (.f64 (exp.f64 (neg.f64 l)) (.f64 (.f64 (sin.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) (*.f64 K m)) -1/2)))
(.f64 (exp.f64 (neg.f64 l)) (+.f64 (cos.f64 (-.f64 (.f64 K (.f64 1/2 n)) M)) (.f64 -1/2 (.f64 m (.f64 (sin.f64 (-.f64 (.f64 K (.f64 1/2 n)) M)) K)))))
(.f64 (exp.f64 (neg.f64 l)) (+.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (.f64 (sin.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (.f64 (.f64 K m) -1/2))))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 (neg.f64 l)) (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m)))) (+.f64 (.f64 -1/8 (.f64 (exp.f64 (neg.f64 l)) (.f64 (pow.f64 K 2) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (pow.f64 m 2))))) (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 n K)) M)))))
(+.f64 (.f64 (exp.f64 (neg.f64 l)) (.f64 (.f64 (sin.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) (.f64 K m)) -1/2)) (+.f64 (.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))) (.f64 (exp.f64 (neg.f64 l)) (.f64 (.f64 (pow.f64 K 2) (.f64 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M)) (pow.f64 m 2))) -1/8))))
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(/.f64 (.f64 (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 m n) 1/2)) M)) (/.f64 1/2 (exp.f64 l))) 1/2)
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M)))
(/.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) (exp.f64 l))
(/.f64 (neg.f64 (.f64 2 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)))) (neg.f64 (.f64 2 (exp.f64 l))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M)))
(/.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) (exp.f64 l))
(/.f64 (neg.f64 (.f64 2 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)))) (.f64 (neg.f64 (*.f64 2 (exp.f64 l))) 1))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M)))
(/.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) (exp.f64 l))
(/.f64 (neg.f64 (.f64 2 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)))) (.f64 (neg.f64 (exp.f64 l)) 2))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M)))
(/.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) (exp.f64 l))
(/.f64 (neg.f64 (neg.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)))) (exp.f64 l))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M)))
(/.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) (exp.f64 l))
(/.f64 (neg.f64 (neg.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)))) (-.f64 0 (neg.f64 (exp.f64 l))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M)))
(/.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) (exp.f64 l))
(/.f64 (+.f64 (.f64 2 (.f64 (/.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) (exp.f64 l)) 4)) (.f64 2 (.f64 (/.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) (exp.f64 l)) 4))) 16)
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M)))
(/.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) (exp.f64 l))
(/.f64 (+.f64 (.f64 2 (neg.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)))) (.f64 2 (neg.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))))) (+.f64 (.f64 2 (neg.f64 (exp.f64 l))) (.f64 2 (neg.f64 (exp.f64 l)))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M)))
(/.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) (exp.f64 l))
(/.f64 (+.f64 (neg.f64 (.f64 2 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)))) (neg.f64 (.f64 2 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))))) (+.f64 (neg.f64 (.f64 2 (exp.f64 l))) (neg.f64 (.f64 2 (exp.f64 l)))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M)))
(/.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) (exp.f64 l))
(/.f64 (+.f64 (neg.f64 (neg.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)))) (neg.f64 (neg.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))))) (*.f64 2 (exp.f64 l)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M)))
(/.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) (exp.f64 l))
(/.f64 (/.f64 (.f64 2 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) 4)) (exp.f64 l)) 8)
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M)))
(/.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) (exp.f64 l))
(/.f64 (/.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) (neg.f64 (exp.f64 l))) -1)
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M)))
(/.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) (exp.f64 l))
(/.f64 (/.f64 (neg.f64 (neg.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)))) 2) (*.f64 (exp.f64 l) 1/2))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M)))
(/.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) (exp.f64 l))
(/.f64 (neg.f64 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) 4)) (-.f64 0 (.f64 4 (exp.f64 l))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M)))
(/.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) (exp.f64 l))
(/.f64 (neg.f64 (neg.f64 (.f64 2 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))))) (.f64 2 (exp.f64 l)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M)))
(/.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) (exp.f64 l))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))))) (neg.f64 (exp.f64 l)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M)))
(/.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) (exp.f64 l))

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (cos.f64 M) (exp.f64 (neg.f64 (pow.f64 M 2))))
✓	0.0b	(exp.f64 (neg.f64 (pow.f64 M 2)))

Compiler

Compiled 29 to 21 computations (27.6% saved)

series1.0ms (0%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	M	@	inf	(*.f64 (cos.f64 M) (exp.f64 (neg.f64 (pow.f64 M 2))))
0.0ms	M	@	-inf	(*.f64 (cos.f64 M) (exp.f64 (neg.f64 (pow.f64 M 2))))
0.0ms	M	@	0	(*.f64 (cos.f64 M) (exp.f64 (neg.f64 (pow.f64 M 2))))
0.0ms	M	@	0	(exp.f64 (neg.f64 (pow.f64 M 2)))
0.0ms	M	@	inf	(exp.f64 (neg.f64 (pow.f64 M 2)))

rewrite235.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1406×	`rational.json-simplify-35`
1220×	`bool.json-1`
1220×	`bool.json-2`
1182×	`rational.json-1`
1182×	`rational.json-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	104	36
2	300	36
3	669	36
4	1516	36
5	3904	36

Stop Event

1×	node limit

Counts

2 → 135

Calls

Call 1

Inputs
(exp.f64 (neg.f64 (pow.f64 M 2)))
(*.f64 (cos.f64 M) (exp.f64 (neg.f64 (pow.f64 M 2))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (neg.f64 (pow.f64 M 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (exp.f64 (pow.f64 M 2))) (/.f64 1/2 (exp.f64 (pow.f64 M 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1/2 (exp.f64 (pow.f64 M 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (neg.f64 (pow.f64 M 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (pow.f64 M 2)) (exp.f64 (*.f64 (pow.f64 M 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (exp.f64 (pow.f64 M 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (exp.f64 (pow.f64 M 2))) (/.f64 1 (*.f64 2 (exp.f64 (*.f64 2 (pow.f64 M 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 -1) (exp.f64 (-.f64 1 (pow.f64 M 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 1 (pow.f64 M 2))) (exp.f64 -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (exp.f64 (-.f64 1 (pow.f64 M 2)))) (/.f64 (exp.f64 -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 2 (exp.f64 (pow.f64 M 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (exp.f64 (pow.f64 M 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (exp.f64 (*.f64 2 (pow.f64 M 2)))) (*.f64 (exp.f64 (pow.f64 M 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (*.f64 (pow.f64 M 2) -2)) (exp.f64 (pow.f64 M 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 (pow.f64 M 2)) 1/2) (/.f64 2 (exp.f64 (*.f64 2 (pow.f64 M 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 -1) 2) (*.f64 2 (exp.f64 (-.f64 1 (pow.f64 M 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 2 (exp.f64 (*.f64 2 (pow.f64 M 2))))) (*.f64 2 (exp.f64 (pow.f64 M 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 2 (exp.f64 (pow.f64 M 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (+.f64 (neg.f64 (neg.f64 (exp.f64 (pow.f64 M 2)))) (neg.f64 (neg.f64 (exp.f64 (pow.f64 M 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (+.f64 (/.f64 (exp.f64 (*.f64 2 (pow.f64 M 2))) (exp.f64 (pow.f64 M 2))) (/.f64 (exp.f64 (*.f64 2 (pow.f64 M 2))) (exp.f64 (pow.f64 M 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (exp.f64 (pow.f64 M 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (neg.f64 (neg.f64 (exp.f64 (pow.f64 M 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 (*.f64 2 (pow.f64 M 2))) (exp.f64 (pow.f64 M 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (exp.f64 (pow.f64 M 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (pow.f64 M 2)) (exp.f64 (*.f64 2 (pow.f64 M 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 2 (exp.f64 (pow.f64 M 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (exp.f64 (pow.f64 M 2))) (*.f64 2 (exp.f64 (*.f64 2 (pow.f64 M 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (*.f64 2 (neg.f64 (exp.f64 (pow.f64 M 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (neg.f64 (*.f64 2 (exp.f64 (pow.f64 M 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 (exp.f64 (pow.f64 M 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (*.f64 2 (*.f64 2 (neg.f64 (exp.f64 (pow.f64 M 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (*.f64 2 (neg.f64 (*.f64 2 (exp.f64 (pow.f64 M 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (neg.f64 (*.f64 (exp.f64 (pow.f64 M 2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 (pow.f64 M 2)) 4) (*.f64 (exp.f64 (*.f64 2 (pow.f64 M 2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 (pow.f64 M 2)) 4) (*.f64 2 (*.f64 2 (exp.f64 (*.f64 2 (pow.f64 M 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (exp.f64 (pow.f64 M 2))) (neg.f64 (exp.f64 (*.f64 2 (pow.f64 M 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 8 (*.f64 2 (*.f64 (exp.f64 (pow.f64 M 2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (exp.f64 (pow.f64 M 2)))) (+.f64 (neg.f64 (exp.f64 (*.f64 2 (pow.f64 M 2)))) (neg.f64 (exp.f64 (*.f64 2 (pow.f64 M 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (exp.f64 (pow.f64 M 2)) 4)) (+.f64 (*.f64 2 (*.f64 2 (exp.f64 (*.f64 2 (pow.f64 M 2))))) (*.f64 2 (*.f64 2 (exp.f64 (*.f64 2 (pow.f64 M 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (exp.f64 (pow.f64 M 2)) 4)) (+.f64 (*.f64 (exp.f64 (*.f64 2 (pow.f64 M 2))) 4) (*.f64 (exp.f64 (*.f64 2 (pow.f64 M 2))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -8 (+.f64 (*.f64 2 (*.f64 2 (neg.f64 (exp.f64 (pow.f64 M 2))))) (*.f64 2 (*.f64 2 (neg.f64 (exp.f64 (pow.f64 M 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -8 (+.f64 (*.f64 2 (neg.f64 (*.f64 2 (exp.f64 (pow.f64 M 2))))) (*.f64 2 (neg.f64 (*.f64 2 (exp.f64 (pow.f64 M 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -8 (+.f64 (neg.f64 (*.f64 (exp.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 M) (/.f64 1/2 (exp.f64 (pow.f64 M 2)))) (*.f64 (cos.f64 M) (/.f64 1/2 (exp.f64 (pow.f64 M 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (exp.f64 (pow.f64 M 2)) (/.f64 2 (cos.f64 M))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 2 (exp.f64 (pow.f64 M 2))) (neg.f64 (neg.f64 (cos.f64 M)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) (/.f64 1 (cos.f64 M)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 M) (neg.f64 (neg.f64 (exp.f64 (pow.f64 M 2)))))))) (#(struct:change 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simplify104.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1724×	`rational.json-simplify-35`
1306×	`rational.json-simplify-53`
1134×	`rational.json-simplify-41`
996×	`rational.json-simplify-43`
624×	`rational.json-simplify-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	290	3795
1	782	3495
2	2336	3327
3	5002	3327

Stop Event

1×	node limit

Counts

151 → 171

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1 (pow.f64 M 2)))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 M 2)) (.f64 1/2 (pow.f64 M 4))))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 M 2)) (+.f64 (.f64 1/2 (pow.f64 M 4)) (*.f64 -1/6 (pow.f64 M 6)))))
1
(+.f64 1 (*.f64 -3/2 (pow.f64 M 2)))
(+.f64 (.f64 25/24 (pow.f64 M 4)) (+.f64 1 (.f64 -3/2 (pow.f64 M 2))))
(+.f64 (.f64 25/24 (pow.f64 M 4)) (+.f64 1 (+.f64 (.f64 -3/2 (pow.f64 M 2)) (*.f64 -331/720 (pow.f64 M 6)))))
(*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) (cos.f64 M))
(*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) (cos.f64 M))
(*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) (cos.f64 M))
(*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) (cos.f64 M))
(*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) (cos.f64 M))
(*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) (cos.f64 M))
(*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) (cos.f64 M))
(*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) (cos.f64 M))
(+.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) 0)
(+.f64 0 (exp.f64 (neg.f64 (pow.f64 M 2))))
(+.f64 (/.f64 1/2 (exp.f64 (pow.f64 M 2))) (/.f64 1/2 (exp.f64 (pow.f64 M 2))))
(-.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) 0)
(*.f64 2 (/.f64 1/2 (exp.f64 (pow.f64 M 2))))
(*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) 1)
(*.f64 1 (exp.f64 (neg.f64 (pow.f64 M 2))))
(.f64 (exp.f64 (pow.f64 M 2)) (exp.f64 (.f64 (pow.f64 M 2) -2)))
(*.f64 (/.f64 2 (exp.f64 (pow.f64 M 2))) 1/2)
(.f64 (.f64 2 (exp.f64 (pow.f64 M 2))) (/.f64 1 (.f64 2 (exp.f64 (.f64 2 (pow.f64 M 2))))))
(*.f64 4 (/.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) 4))
(.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) 4) 1/4)
(*.f64 (exp.f64 -1) (exp.f64 (-.f64 1 (pow.f64 M 2))))
(*.f64 (exp.f64 (-.f64 1 (pow.f64 M 2))) (exp.f64 -1))
(.f64 (.f64 2 (exp.f64 (-.f64 1 (pow.f64 M 2)))) (/.f64 (exp.f64 -1) 2))
(*.f64 1/2 (/.f64 2 (exp.f64 (pow.f64 M 2))))
(*.f64 (/.f64 1/2 (exp.f64 (pow.f64 M 2))) 2)
(.f64 (/.f64 2 (exp.f64 (.f64 2 (pow.f64 M 2)))) (*.f64 (exp.f64 (pow.f64 M 2)) 1/2))
(.f64 (exp.f64 (.f64 (pow.f64 M 2) -2)) (exp.f64 (pow.f64 M 2)))
(.f64 (.f64 (exp.f64 (pow.f64 M 2)) 1/2) (/.f64 2 (exp.f64 (*.f64 2 (pow.f64 M 2)))))
(.f64 1/4 (.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) 4))
(.f64 (/.f64 (exp.f64 -1) 2) (.f64 2 (exp.f64 (-.f64 1 (pow.f64 M 2)))))
(.f64 (/.f64 1 (.f64 2 (exp.f64 (.f64 2 (pow.f64 M 2))))) (.f64 2 (exp.f64 (pow.f64 M 2))))
(*.f64 (/.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) 4) 4)
(/.f64 2 (*.f64 2 (exp.f64 (pow.f64 M 2))))
(/.f64 2 (+.f64 (neg.f64 (neg.f64 (exp.f64 (pow.f64 M 2)))) (neg.f64 (neg.f64 (exp.f64 (pow.f64 M 2))))))
(/.f64 2 (+.f64 (/.f64 (exp.f64 (.f64 2 (pow.f64 M 2))) (exp.f64 (pow.f64 M 2))) (/.f64 (exp.f64 (.f64 2 (pow.f64 M 2))) (exp.f64 (pow.f64 M 2)))))
(/.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) 1)
(/.f64 1 (exp.f64 (pow.f64 M 2)))
(/.f64 1 (neg.f64 (neg.f64 (exp.f64 (pow.f64 M 2)))))
(/.f64 1 (/.f64 (exp.f64 (*.f64 2 (pow.f64 M 2))) (exp.f64 (pow.f64 M 2))))
(/.f64 -1 (neg.f64 (exp.f64 (pow.f64 M 2))))
(/.f64 (exp.f64 (pow.f64 M 2)) (exp.f64 (*.f64 2 (pow.f64 M 2))))
(/.f64 (/.f64 2 (exp.f64 (pow.f64 M 2))) 2)
(/.f64 (.f64 2 (exp.f64 (pow.f64 M 2))) (.f64 2 (exp.f64 (*.f64 2 (pow.f64 M 2)))))
(/.f64 -2 (*.f64 2 (neg.f64 (exp.f64 (pow.f64 M 2)))))
(/.f64 -2 (neg.f64 (*.f64 2 (exp.f64 (pow.f64 M 2)))))
(/.f64 4 (*.f64 (exp.f64 (pow.f64 M 2)) 4))
(/.f64 -4 (.f64 2 (.f64 2 (neg.f64 (exp.f64 (pow.f64 M 2))))))
(/.f64 -4 (.f64 2 (neg.f64 (.f64 2 (exp.f64 (pow.f64 M 2))))))
(/.f64 -4 (neg.f64 (*.f64 (exp.f64 (pow.f64 M 2)) 4)))
(/.f64 (.f64 (exp.f64 (pow.f64 M 2)) 4) (.f64 (exp.f64 (*.f64 2 (pow.f64 M 2))) 4))
(/.f64 (.f64 (exp.f64 (pow.f64 M 2)) 4) (.f64 2 (.f64 2 (exp.f64 (.f64 2 (pow.f64 M 2))))))
(/.f64 (*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) 4) 4)
(/.f64 (neg.f64 (exp.f64 (pow.f64 M 2))) (neg.f64 (exp.f64 (*.f64 2 (pow.f64 M 2)))))
(/.f64 8 (.f64 2 (.f64 (exp.f64 (pow.f64 M 2)) 4)))
(/.f64 (.f64 2 (neg.f64 (exp.f64 (pow.f64 M 2)))) (+.f64 (neg.f64 (exp.f64 (.f64 2 (pow.f64 M 2)))) (neg.f64 (exp.f64 (*.f64 2 (pow.f64 M 2))))))
(/.f64 (.f64 2 (.f64 (exp.f64 (pow.f64 M 2)) 4)) (+.f64 (.f64 2 (.f64 2 (exp.f64 (.f64 2 (pow.f64 M 2))))) (.f64 2 (.f64 2 (exp.f64 (.f64 2 (pow.f64 M 2)))))))
(/.f64 (.f64 2 (.f64 (exp.f64 (pow.f64 M 2)) 4)) (+.f64 (.f64 (exp.f64 (.f64 2 (pow.f64 M 2))) 4) (.f64 (exp.f64 (.f64 2 (pow.f64 M 2))) 4)))
(/.f64 (.f64 2 (.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) 4)) 8)
(/.f64 -8 (+.f64 (.f64 2 (.f64 2 (neg.f64 (exp.f64 (pow.f64 M 2))))) (.f64 2 (.f64 2 (neg.f64 (exp.f64 (pow.f64 M 2)))))))
(/.f64 -8 (+.f64 (.f64 2 (neg.f64 (.f64 2 (exp.f64 (pow.f64 M 2))))) (.f64 2 (neg.f64 (.f64 2 (exp.f64 (pow.f64 M 2)))))))
(/.f64 -8 (+.f64 (neg.f64 (.f64 (exp.f64 (pow.f64 M 2)) 4)) (neg.f64 (.f64 (exp.f64 (pow.f64 M 2)) 4))))
(/.f64 (/.f64 (.f64 2 (exp.f64 (pow.f64 M 2))) (exp.f64 (pow.f64 M 2))) (.f64 2 (exp.f64 (pow.f64 M 2))))
(/.f64 1/2 (*.f64 (exp.f64 (pow.f64 M 2)) 1/2))
(/.f64 (/.f64 1/2 (exp.f64 (pow.f64 M 2))) 1/2)
(/.f64 16 (.f64 2 (.f64 2 (*.f64 (exp.f64 (pow.f64 M 2)) 4))))
(/.f64 (.f64 2 (.f64 2 (*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) 4))) 16)
(/.f64 (.f64 2 (/.f64 (.f64 2 (exp.f64 (pow.f64 M 2))) (exp.f64 (pow.f64 M 2)))) (*.f64 (exp.f64 (pow.f64 M 2)) 4))
(/.f64 (/.f64 (.f64 (exp.f64 (pow.f64 M 2)) 4) (exp.f64 (.f64 2 (pow.f64 M 2)))) 4)
(/.f64 (/.f64 (/.f64 (*.f64 2 (exp.f64 (pow.f64 M 2))) (exp.f64 (pow.f64 M 2))) 2) (exp.f64 (pow.f64 M 2)))
(/.f64 (/.f64 (exp.f64 (pow.f64 M 2)) (exp.f64 (pow.f64 M 2))) (exp.f64 (pow.f64 M 2)))
(/.f64 (/.f64 4 (exp.f64 (pow.f64 M 2))) 4)
(/.f64 32 (+.f64 (.f64 2 (.f64 2 (.f64 (exp.f64 (pow.f64 M 2)) 4))) (.f64 2 (.f64 2 (.f64 (exp.f64 (pow.f64 M 2)) 4)))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) 4))) (.f64 2 (.f64 2 (.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) 4)))) 32)
(/.f64 (+.f64 (/.f64 (.f64 (exp.f64 (pow.f64 M 2)) 4) (exp.f64 (.f64 2 (pow.f64 M 2)))) (/.f64 (.f64 (exp.f64 (pow.f64 M 2)) 4) (exp.f64 (.f64 2 (pow.f64 M 2))))) 8)
(/.f64 (+.f64 (/.f64 (/.f64 (.f64 2 (exp.f64 (pow.f64 M 2))) (exp.f64 (pow.f64 M 2))) 2) (/.f64 (/.f64 (.f64 2 (exp.f64 (pow.f64 M 2))) (exp.f64 (pow.f64 M 2))) 2)) (*.f64 2 (exp.f64 (pow.f64 M 2))))
(/.f64 (+.f64 (/.f64 (exp.f64 (pow.f64 M 2)) (exp.f64 (pow.f64 M 2))) (/.f64 (exp.f64 (pow.f64 M 2)) (exp.f64 (pow.f64 M 2)))) (*.f64 2 (exp.f64 (pow.f64 M 2))))
(/.f64 (+.f64 (/.f64 4 (exp.f64 (pow.f64 M 2))) (/.f64 4 (exp.f64 (pow.f64 M 2)))) 8)
(+.f64 (/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2))) 0)
(+.f64 0 (/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2))))
(+.f64 (.f64 (cos.f64 M) (/.f64 1/2 (exp.f64 (pow.f64 M 2)))) (.f64 (cos.f64 M) (/.f64 1/2 (exp.f64 (pow.f64 M 2)))))
(-.f64 (/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2))) 0)
(/.f64 2 (*.f64 (exp.f64 (pow.f64 M 2)) (/.f64 2 (cos.f64 M))))
(/.f64 2 (/.f64 (*.f64 2 (exp.f64 (pow.f64 M 2))) (neg.f64 (neg.f64 (cos.f64 M)))))
(/.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) (/.f64 1 (cos.f64 M)))
(/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2)))
(/.f64 (cos.f64 M) (neg.f64 (neg.f64 (exp.f64 (pow.f64 M 2)))))
(/.f64 (/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2))) 1)
(/.f64 1 (/.f64 (exp.f64 (pow.f64 M 2)) (cos.f64 M)))
(/.f64 -1 (neg.f64 (/.f64 (exp.f64 (pow.f64 M 2)) (cos.f64 M))))
(/.f64 (/.f64 2 (exp.f64 (pow.f64 M 2))) (+.f64 (/.f64 1 (cos.f64 M)) (/.f64 1 (cos.f64 M))))
(/.f64 (.f64 2 (cos.f64 M)) (.f64 2 (exp.f64 (pow.f64 M 2))))
(/.f64 (*.f64 2 (cos.f64 M)) (+.f64 (neg.f64 (neg.f64 (exp.f64 (pow.f64 M 2)))) (neg.f64 (neg.f64 (exp.f64 (pow.f64 M 2))))))
(/.f64 (/.f64 (*.f64 2 (cos.f64 M)) (exp.f64 (pow.f64 M 2))) 2)
(/.f64 -2 (+.f64 (neg.f64 (/.f64 (exp.f64 (pow.f64 M 2)) (cos.f64 M))) (neg.f64 (/.f64 (exp.f64 (pow.f64 M 2)) (cos.f64 M)))))
(/.f64 4 (.f64 2 (.f64 (exp.f64 (pow.f64 M 2)) (/.f64 2 (cos.f64 M)))))
(/.f64 4 (/.f64 (*.f64 (exp.f64 (pow.f64 M 2)) 4) (cos.f64 M)))
(/.f64 4 (/.f64 (*.f64 (exp.f64 (pow.f64 M 2)) 4) (neg.f64 (neg.f64 (cos.f64 M)))))
(/.f64 4 (+.f64 (/.f64 (.f64 2 (exp.f64 (pow.f64 M 2))) (neg.f64 (neg.f64 (cos.f64 M)))) (/.f64 (.f64 2 (exp.f64 (pow.f64 M 2))) (neg.f64 (neg.f64 (cos.f64 M))))))
(/.f64 (.f64 (cos.f64 M) 4) (.f64 (exp.f64 (pow.f64 M 2)) 4))
(/.f64 (*.f64 (/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2))) 4) 4)
(/.f64 (neg.f64 (cos.f64 M)) (neg.f64 (exp.f64 (pow.f64 M 2))))
(/.f64 (/.f64 (exp.f64 (pow.f64 M 2)) (cos.f64 M)) (*.f64 (/.f64 (exp.f64 (pow.f64 M 2)) (cos.f64 M)) (/.f64 (exp.f64 (pow.f64 M 2)) (cos.f64 M))))
(/.f64 (.f64 (exp.f64 (pow.f64 M 2)) (/.f64 2 (cos.f64 M))) (.f64 2 (*.f64 (/.f64 (exp.f64 (pow.f64 M 2)) (cos.f64 M)) (/.f64 (exp.f64 (pow.f64 M 2)) (cos.f64 M)))))
(/.f64 8 (+.f64 (.f64 2 (.f64 (exp.f64 (pow.f64 M 2)) (/.f64 2 (cos.f64 M)))) (.f64 2 (.f64 (exp.f64 (pow.f64 M 2)) (/.f64 2 (cos.f64 M))))))
(/.f64 8 (+.f64 (/.f64 (.f64 (exp.f64 (pow.f64 M 2)) 4) (cos.f64 M)) (/.f64 (.f64 (exp.f64 (pow.f64 M 2)) 4) (cos.f64 M))))
(/.f64 8 (+.f64 (/.f64 (.f64 (exp.f64 (pow.f64 M 2)) 4) (neg.f64 (neg.f64 (cos.f64 M)))) (/.f64 (.f64 (exp.f64 (pow.f64 M 2)) 4) (neg.f64 (neg.f64 (cos.f64 M))))))
(/.f64 (.f64 2 (.f64 (cos.f64 M) 4)) (.f64 2 (.f64 (exp.f64 (pow.f64 M 2)) 4)))
(/.f64 (.f64 2 (.f64 (cos.f64 M) 4)) (*.f64 (exp.f64 (pow.f64 M 2)) 8))
(/.f64 (.f64 2 (.f64 (/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2))) 4)) 8)
(/.f64 (.f64 2 (neg.f64 (cos.f64 M))) (.f64 2 (neg.f64 (exp.f64 (pow.f64 M 2)))))
(/.f64 1/2 (/.f64 (exp.f64 (pow.f64 M 2)) (*.f64 2 (cos.f64 M))))
(/.f64 (.f64 (cos.f64 M) 1/2) (.f64 (exp.f64 (pow.f64 M 2)) 1/2))
(/.f64 (*.f64 (cos.f64 M) (/.f64 1/2 (exp.f64 (pow.f64 M 2)))) 1/2)
(/.f64 (neg.f64 (.f64 2 (cos.f64 M))) (.f64 2 (neg.f64 (exp.f64 (pow.f64 M 2)))))
(/.f64 (neg.f64 (.f64 2 (cos.f64 M))) (neg.f64 (.f64 2 (exp.f64 (pow.f64 M 2)))))
(/.f64 (neg.f64 (neg.f64 (cos.f64 M))) (exp.f64 (pow.f64 M 2)))
(/.f64 (neg.f64 (neg.f64 (cos.f64 M))) (neg.f64 (neg.f64 (exp.f64 (pow.f64 M 2)))))
(/.f64 (.f64 2 (.f64 (exp.f64 (pow.f64 M 2)) (/.f64 2 (cos.f64 M)))) (+.f64 (.f64 2 (.f64 (/.f64 (exp.f64 (pow.f64 M 2)) (cos.f64 M)) (/.f64 (exp.f64 (pow.f64 M 2)) (cos.f64 M)))) (.f64 2 (.f64 (/.f64 (exp.f64 (pow.f64 M 2)) (cos.f64 M)) (/.f64 (exp.f64 (pow.f64 M 2)) (cos.f64 M))))))
(/.f64 (.f64 2 (neg.f64 (.f64 2 (cos.f64 M)))) (.f64 2 (.f64 2 (neg.f64 (exp.f64 (pow.f64 M 2))))))
(/.f64 (.f64 2 (neg.f64 (.f64 2 (cos.f64 M)))) (.f64 2 (neg.f64 (.f64 2 (exp.f64 (pow.f64 M 2))))))
(/.f64 (.f64 2 (.f64 2 (*.f64 (/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2))) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (neg.f64 (cos.f64 M)))) (.f64 2 (.f64 2 (neg.f64 (exp.f64 (pow.f64 M 2))))))
(/.f64 (.f64 2 (neg.f64 (neg.f64 (cos.f64 M)))) (.f64 2 (exp.f64 (pow.f64 M 2))))
(/.f64 (*.f64 2 (neg.f64 (neg.f64 (cos.f64 M)))) (+.f64 (neg.f64 (neg.f64 (exp.f64 (pow.f64 M 2)))) (neg.f64 (neg.f64 (exp.f64 (pow.f64 M 2))))))
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 M) 4))) (.f64 2 (.f64 2 (.f64 (exp.f64 (pow.f64 M 2)) 4))))
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 M) 4))) (+.f64 (.f64 (exp.f64 (pow.f64 M 2)) 8) (*.f64 (exp.f64 (pow.f64 M 2)) 8)))
(/.f64 (/.f64 (.f64 2 (.f64 (cos.f64 M) 4)) (exp.f64 (pow.f64 M 2))) 8)
(/.f64 (/.f64 (cos.f64 M) (neg.f64 (exp.f64 (pow.f64 M 2)))) -1)
(/.f64 (/.f64 (neg.f64 (neg.f64 (cos.f64 M))) 2) (*.f64 (exp.f64 (pow.f64 M 2)) 1/2))
(/.f64 (neg.f64 (.f64 (cos.f64 M) 4)) (neg.f64 (.f64 (exp.f64 (pow.f64 M 2)) 4)))
(/.f64 (neg.f64 (neg.f64 (.f64 2 (cos.f64 M)))) (.f64 2 (exp.f64 (pow.f64 M 2))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 M)))) (neg.f64 (exp.f64 (pow.f64 M 2))))
(/.f64 (+.f64 (/.f64 (cos.f64 M) (neg.f64 (exp.f64 (pow.f64 M 2)))) (/.f64 (cos.f64 M) (neg.f64 (exp.f64 (pow.f64 M 2))))) -2)
(/.f64 (+.f64 (/.f64 (.f64 2 (.f64 (cos.f64 M) 4)) (exp.f64 (pow.f64 M 2))) (/.f64 (.f64 2 (.f64 (cos.f64 M) 4)) (exp.f64 (pow.f64 M 2)))) 16)
(/.f64 (+.f64 (/.f64 (neg.f64 (neg.f64 (cos.f64 M))) 2) (/.f64 (neg.f64 (neg.f64 (cos.f64 M))) 2)) (exp.f64 (pow.f64 M 2)))
(/.f64 (+.f64 (neg.f64 (.f64 (cos.f64 M) 4)) (neg.f64 (.f64 (cos.f64 M) 4))) (+.f64 (neg.f64 (.f64 (exp.f64 (pow.f64 M 2)) 4)) (neg.f64 (.f64 (exp.f64 (pow.f64 M 2)) 4))))
(/.f64 (+.f64 (.f64 2 (neg.f64 (.f64 2 (cos.f64 M)))) (.f64 2 (neg.f64 (.f64 2 (cos.f64 M))))) (+.f64 (.f64 2 (neg.f64 (.f64 2 (exp.f64 (pow.f64 M 2))))) (.f64 2 (neg.f64 (.f64 2 (exp.f64 (pow.f64 M 2)))))))
(/.f64 (+.f64 (neg.f64 (neg.f64 (.f64 2 (cos.f64 M)))) (neg.f64 (neg.f64 (.f64 2 (cos.f64 M))))) (*.f64 (exp.f64 (pow.f64 M 2)) 4))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2))) 4))) (.f64 2 (.f64 2 (.f64 (/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2))) 4)))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (neg.f64 (cos.f64 M)))) (.f64 2 (.f64 2 (neg.f64 (cos.f64 M))))) (+.f64 (.f64 2 (.f64 2 (neg.f64 (exp.f64 (pow.f64 M 2))))) (.f64 2 (.f64 2 (neg.f64 (exp.f64 (pow.f64 M 2)))))))
(/.f64 (+.f64 (.f64 2 (neg.f64 (neg.f64 (cos.f64 M)))) (.f64 2 (neg.f64 (neg.f64 (cos.f64 M))))) (*.f64 (exp.f64 (pow.f64 M 2)) 4))
(/.f64 (+.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 M)))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 M))))) (*.f64 2 (neg.f64 (exp.f64 (pow.f64 M 2)))))
(neg.f64 (/.f64 (cos.f64 M) (neg.f64 (exp.f64 (pow.f64 M 2)))))

Outputs
1
(+.f64 1 (*.f64 -1 (pow.f64 M 2)))
(+.f64 1 (neg.f64 (pow.f64 M 2)))
(-.f64 1 (pow.f64 M 2))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 M 2)) (.f64 1/2 (pow.f64 M 4))))
(+.f64 1 (+.f64 (neg.f64 (pow.f64 M 2)) (*.f64 1/2 (pow.f64 M 4))))
(+.f64 (*.f64 1/2 (pow.f64 M 4)) (-.f64 1 (pow.f64 M 2)))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 M 2)) (+.f64 (.f64 1/2 (pow.f64 M 4)) (*.f64 -1/6 (pow.f64 M 6)))))
(+.f64 1 (+.f64 (neg.f64 (pow.f64 M 2)) (+.f64 (.f64 1/2 (pow.f64 M 4)) (.f64 -1/6 (pow.f64 M 6)))))
(+.f64 (+.f64 (.f64 1/2 (pow.f64 M 4)) (.f64 -1/6 (pow.f64 M 6))) (-.f64 1 (pow.f64 M 2)))
(+.f64 (.f64 -1/6 (pow.f64 M 6)) (+.f64 (.f64 1/2 (pow.f64 M 4)) (-.f64 1 (pow.f64 M 2))))
(+.f64 (.f64 1/2 (pow.f64 M 4)) (+.f64 (.f64 -1/6 (pow.f64 M 6)) (-.f64 1 (pow.f64 M 2))))
1
(+.f64 1 (*.f64 -3/2 (pow.f64 M 2)))
(+.f64 1 (*.f64 (pow.f64 M 2) -3/2))
(+.f64 (.f64 25/24 (pow.f64 M 4)) (+.f64 1 (.f64 -3/2 (pow.f64 M 2))))
(+.f64 1 (+.f64 (.f64 (pow.f64 M 2) -3/2) (.f64 (pow.f64 M 4) 25/24)))
(+.f64 (.f64 (pow.f64 M 2) -3/2) (+.f64 (.f64 (pow.f64 M 4) 25/24) 1))
(+.f64 (.f64 (pow.f64 M 2) -3/2) (+.f64 1 (.f64 (pow.f64 M 4) 25/24)))
(+.f64 (.f64 25/24 (pow.f64 M 4)) (+.f64 1 (+.f64 (.f64 -3/2 (pow.f64 M 2)) (*.f64 -331/720 (pow.f64 M 6)))))
(+.f64 (.f64 (pow.f64 M 4) 25/24) (+.f64 1 (+.f64 (.f64 (pow.f64 M 2) -3/2) (*.f64 (pow.f64 M 6) -331/720))))
(+.f64 (+.f64 (.f64 (pow.f64 M 2) -3/2) (.f64 (pow.f64 M 6) -331/720)) (+.f64 (*.f64 (pow.f64 M 4) 25/24) 1))
(+.f64 (.f64 (pow.f64 M 2) -3/2) (+.f64 (.f64 (pow.f64 M 6) -331/720) (+.f64 1 (*.f64 (pow.f64 M 4) 25/24))))
(*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2)))
(*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2)))
(*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2)))
(*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2)))
(*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2)))
(*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2)))
(*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2)))
(*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2)))
(+.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) 0)
(exp.f64 (neg.f64 (pow.f64 M 2)))
(+.f64 0 (exp.f64 (neg.f64 (pow.f64 M 2))))
(exp.f64 (neg.f64 (pow.f64 M 2)))
(+.f64 (/.f64 1/2 (exp.f64 (pow.f64 M 2))) (/.f64 1/2 (exp.f64 (pow.f64 M 2))))
(exp.f64 (neg.f64 (pow.f64 M 2)))
(-.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) 0)
(exp.f64 (neg.f64 (pow.f64 M 2)))
(*.f64 2 (/.f64 1/2 (exp.f64 (pow.f64 M 2))))
(exp.f64 (neg.f64 (pow.f64 M 2)))
(*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) 1)
(exp.f64 (neg.f64 (pow.f64 M 2)))
(*.f64 1 (exp.f64 (neg.f64 (pow.f64 M 2))))
(exp.f64 (neg.f64 (pow.f64 M 2)))
(.f64 (exp.f64 (pow.f64 M 2)) (exp.f64 (.f64 (pow.f64 M 2) -2)))
(exp.f64 (+.f64 (pow.f64 M 2) (*.f64 (pow.f64 M 2) -2)))
(*.f64 (/.f64 2 (exp.f64 (pow.f64 M 2))) 1/2)
(*.f64 1/2 (/.f64 2 (exp.f64 (pow.f64 M 2))))
(.f64 (.f64 2 (exp.f64 (pow.f64 M 2))) (/.f64 1 (.f64 2 (exp.f64 (.f64 2 (pow.f64 M 2))))))
(.f64 2 (.f64 (exp.f64 (pow.f64 M 2)) (/.f64 1/2 (exp.f64 (*.f64 2 (pow.f64 M 2))))))
(.f64 (exp.f64 (pow.f64 M 2)) (.f64 (/.f64 1/2 (exp.f64 (*.f64 2 (pow.f64 M 2)))) 2))
(/.f64 (exp.f64 (pow.f64 M 2)) (exp.f64 (*.f64 2 (pow.f64 M 2))))
(*.f64 4 (/.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) 4))
(exp.f64 (neg.f64 (pow.f64 M 2)))
(.f64 (.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) 4) 1/4)
(exp.f64 (neg.f64 (pow.f64 M 2)))
(*.f64 (exp.f64 -1) (exp.f64 (-.f64 1 (pow.f64 M 2))))
(exp.f64 (neg.f64 (pow.f64 M 2)))
(*.f64 (exp.f64 (-.f64 1 (pow.f64 M 2))) (exp.f64 -1))
(exp.f64 (neg.f64 (pow.f64 M 2)))
(.f64 (.f64 2 (exp.f64 (-.f64 1 (pow.f64 M 2)))) (/.f64 (exp.f64 -1) 2))
(.f64 2 (.f64 (exp.f64 (-.f64 1 (pow.f64 M 2))) (/.f64 (exp.f64 -1) 2)))
(.f64 (exp.f64 (-.f64 1 (pow.f64 M 2))) (.f64 (/.f64 (exp.f64 -1) 2) 2))
(.f64 (exp.f64 (-.f64 1 (pow.f64 M 2))) (.f64 2 (/.f64 (exp.f64 -1) 2)))
(*.f64 1/2 (/.f64 2 (exp.f64 (pow.f64 M 2))))
(*.f64 (/.f64 1/2 (exp.f64 (pow.f64 M 2))) 2)
(exp.f64 (neg.f64 (pow.f64 M 2)))
(.f64 (/.f64 2 (exp.f64 (.f64 2 (pow.f64 M 2)))) (*.f64 (exp.f64 (pow.f64 M 2)) 1/2))
(.f64 (exp.f64 (pow.f64 M 2)) (.f64 1/2 (/.f64 2 (exp.f64 (*.f64 2 (pow.f64 M 2))))))
(.f64 (/.f64 2 (exp.f64 (.f64 2 (pow.f64 M 2)))) (*.f64 1/2 (exp.f64 (pow.f64 M 2))))
(.f64 (exp.f64 (.f64 (pow.f64 M 2) -2)) (exp.f64 (pow.f64 M 2)))
(exp.f64 (+.f64 (pow.f64 M 2) (*.f64 (pow.f64 M 2) -2)))
(.f64 (.f64 (exp.f64 (pow.f64 M 2)) 1/2) (/.f64 2 (exp.f64 (*.f64 2 (pow.f64 M 2)))))
(.f64 (exp.f64 (pow.f64 M 2)) (.f64 1/2 (/.f64 2 (exp.f64 (*.f64 2 (pow.f64 M 2))))))
(.f64 (/.f64 2 (exp.f64 (.f64 2 (pow.f64 M 2)))) (*.f64 1/2 (exp.f64 (pow.f64 M 2))))
(.f64 1/4 (.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) 4))
(exp.f64 (neg.f64 (pow.f64 M 2)))
(.f64 (/.f64 (exp.f64 -1) 2) (.f64 2 (exp.f64 (-.f64 1 (pow.f64 M 2)))))
(.f64 2 (.f64 (exp.f64 (-.f64 1 (pow.f64 M 2))) (/.f64 (exp.f64 -1) 2)))
(.f64 (exp.f64 (-.f64 1 (pow.f64 M 2))) (.f64 (/.f64 (exp.f64 -1) 2) 2))
(.f64 (exp.f64 (-.f64 1 (pow.f64 M 2))) (.f64 2 (/.f64 (exp.f64 -1) 2)))
(.f64 (/.f64 1 (.f64 2 (exp.f64 (.f64 2 (pow.f64 M 2))))) (.f64 2 (exp.f64 (pow.f64 M 2))))
(.f64 2 (.f64 (exp.f64 (pow.f64 M 2)) (/.f64 1/2 (exp.f64 (*.f64 2 (pow.f64 M 2))))))
(.f64 (exp.f64 (pow.f64 M 2)) (.f64 (/.f64 1/2 (exp.f64 (*.f64 2 (pow.f64 M 2)))) 2))
(/.f64 (exp.f64 (pow.f64 M 2)) (exp.f64 (*.f64 2 (pow.f64 M 2))))
(*.f64 (/.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) 4) 4)
(exp.f64 (neg.f64 (pow.f64 M 2)))
(/.f64 2 (*.f64 2 (exp.f64 (pow.f64 M 2))))
(exp.f64 (neg.f64 (pow.f64 M 2)))
(/.f64 2 (+.f64 (neg.f64 (neg.f64 (exp.f64 (pow.f64 M 2)))) (neg.f64 (neg.f64 (exp.f64 (pow.f64 M 2))))))
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(/.f64 (.f64 (cos.f64 M) 1/2) (.f64 (exp.f64 (pow.f64 M 2)) 1/2))
(*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2)))
(/.f64 (*.f64 (cos.f64 M) (/.f64 1/2 (exp.f64 (pow.f64 M 2)))) 1/2)
(*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2)))
(/.f64 (neg.f64 (.f64 2 (cos.f64 M))) (.f64 2 (neg.f64 (exp.f64 (pow.f64 M 2)))))
(*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2)))
(/.f64 (neg.f64 (.f64 2 (cos.f64 M))) (neg.f64 (.f64 2 (exp.f64 (pow.f64 M 2)))))
(*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2)))
(/.f64 (neg.f64 (neg.f64 (cos.f64 M))) (exp.f64 (pow.f64 M 2)))
(*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2)))
(/.f64 (neg.f64 (neg.f64 (cos.f64 M))) (neg.f64 (neg.f64 (exp.f64 (pow.f64 M 2)))))
(*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2)))
(/.f64 (.f64 2 (.f64 (exp.f64 (pow.f64 M 2)) (/.f64 2 (cos.f64 M)))) (+.f64 (.f64 2 (.f64 (/.f64 (exp.f64 (pow.f64 M 2)) (cos.f64 M)) (/.f64 (exp.f64 (pow.f64 M 2)) (cos.f64 M)))) (.f64 2 (.f64 (/.f64 (exp.f64 (pow.f64 M 2)) (cos.f64 M)) (/.f64 (exp.f64 (pow.f64 M 2)) (cos.f64 M))))))
(.f64 (/.f64 2 (cos.f64 M)) (/.f64 (exp.f64 (pow.f64 M 2)) (.f64 2 (*.f64 (/.f64 (exp.f64 (pow.f64 M 2)) (cos.f64 M)) (/.f64 (exp.f64 (pow.f64 M 2)) (cos.f64 M))))))
(*.f64 (/.f64 2 (cos.f64 M)) (/.f64 (/.f64 (/.f64 (exp.f64 (pow.f64 M 2)) (/.f64 (exp.f64 (pow.f64 M 2)) (cos.f64 M))) (/.f64 (exp.f64 (pow.f64 M 2)) (cos.f64 M))) 2))
(/.f64 (.f64 (exp.f64 (pow.f64 M 2)) (/.f64 2 (cos.f64 M))) (.f64 (*.f64 (exp.f64 (pow.f64 M 2)) (/.f64 2 (cos.f64 M))) (/.f64 (exp.f64 (pow.f64 M 2)) (cos.f64 M))))
(/.f64 (/.f64 (*.f64 (exp.f64 (pow.f64 M 2)) (/.f64 (/.f64 2 (cos.f64 M)) 2)) (/.f64 (exp.f64 (pow.f64 M 2)) (cos.f64 M))) (/.f64 (exp.f64 (pow.f64 M 2)) (cos.f64 M)))
(/.f64 (.f64 2 (neg.f64 (.f64 2 (cos.f64 M)))) (.f64 2 (.f64 2 (neg.f64 (exp.f64 (pow.f64 M 2))))))
(*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2)))
(/.f64 (.f64 2 (neg.f64 (.f64 2 (cos.f64 M)))) (.f64 2 (neg.f64 (.f64 2 (exp.f64 (pow.f64 M 2))))))
(*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2))) 4))) 16)
(*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2)))
(/.f64 (.f64 2 (.f64 2 (neg.f64 (cos.f64 M)))) (.f64 2 (.f64 2 (neg.f64 (exp.f64 (pow.f64 M 2))))))
(*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2)))
(/.f64 (.f64 2 (neg.f64 (neg.f64 (cos.f64 M)))) (.f64 2 (exp.f64 (pow.f64 M 2))))
(*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2)))
(/.f64 (*.f64 2 (neg.f64 (neg.f64 (cos.f64 M)))) (+.f64 (neg.f64 (neg.f64 (exp.f64 (pow.f64 M 2)))) (neg.f64 (neg.f64 (exp.f64 (pow.f64 M 2))))))
(*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2)))
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 M) 4))) (.f64 2 (.f64 2 (.f64 (exp.f64 (pow.f64 M 2)) 4))))
(*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2)))
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 M) 4))) (+.f64 (.f64 (exp.f64 (pow.f64 M 2)) 8) (*.f64 (exp.f64 (pow.f64 M 2)) 8)))
(*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2)))
(/.f64 (/.f64 (.f64 2 (.f64 (cos.f64 M) 4)) (exp.f64 (pow.f64 M 2))) 8)
(*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2)))
(/.f64 (/.f64 (cos.f64 M) (neg.f64 (exp.f64 (pow.f64 M 2)))) -1)
(*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2)))
(/.f64 (/.f64 (neg.f64 (neg.f64 (cos.f64 M))) 2) (*.f64 (exp.f64 (pow.f64 M 2)) 1/2))
(*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2)))
(/.f64 (neg.f64 (.f64 (cos.f64 M) 4)) (neg.f64 (.f64 (exp.f64 (pow.f64 M 2)) 4)))
(*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2)))
(/.f64 (neg.f64 (neg.f64 (.f64 2 (cos.f64 M)))) (.f64 2 (exp.f64 (pow.f64 M 2))))
(*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 M)))) (neg.f64 (exp.f64 (pow.f64 M 2))))
(*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2)))
(/.f64 (+.f64 (/.f64 (cos.f64 M) (neg.f64 (exp.f64 (pow.f64 M 2)))) (/.f64 (cos.f64 M) (neg.f64 (exp.f64 (pow.f64 M 2))))) -2)
(*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2)))
(/.f64 (+.f64 (/.f64 (.f64 2 (.f64 (cos.f64 M) 4)) (exp.f64 (pow.f64 M 2))) (/.f64 (.f64 2 (.f64 (cos.f64 M) 4)) (exp.f64 (pow.f64 M 2)))) 16)
(*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2)))
(/.f64 (+.f64 (/.f64 (neg.f64 (neg.f64 (cos.f64 M))) 2) (/.f64 (neg.f64 (neg.f64 (cos.f64 M))) 2)) (exp.f64 (pow.f64 M 2)))
(*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2)))
(/.f64 (+.f64 (neg.f64 (.f64 (cos.f64 M) 4)) (neg.f64 (.f64 (cos.f64 M) 4))) (+.f64 (neg.f64 (.f64 (exp.f64 (pow.f64 M 2)) 4)) (neg.f64 (.f64 (exp.f64 (pow.f64 M 2)) 4))))
(*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2)))
(/.f64 (+.f64 (.f64 2 (neg.f64 (.f64 2 (cos.f64 M)))) (.f64 2 (neg.f64 (.f64 2 (cos.f64 M))))) (+.f64 (.f64 2 (neg.f64 (.f64 2 (exp.f64 (pow.f64 M 2))))) (.f64 2 (neg.f64 (.f64 2 (exp.f64 (pow.f64 M 2)))))))
(*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2)))
(/.f64 (+.f64 (neg.f64 (neg.f64 (.f64 2 (cos.f64 M)))) (neg.f64 (neg.f64 (.f64 2 (cos.f64 M))))) (*.f64 (exp.f64 (pow.f64 M 2)) 4))
(*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2))) 4))) (.f64 2 (.f64 2 (.f64 (/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2))) 4)))) 32)
(*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (neg.f64 (cos.f64 M)))) (.f64 2 (.f64 2 (neg.f64 (cos.f64 M))))) (+.f64 (.f64 2 (.f64 2 (neg.f64 (exp.f64 (pow.f64 M 2))))) (.f64 2 (.f64 2 (neg.f64 (exp.f64 (pow.f64 M 2)))))))
(*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2)))
(/.f64 (+.f64 (.f64 2 (neg.f64 (neg.f64 (cos.f64 M)))) (.f64 2 (neg.f64 (neg.f64 (cos.f64 M))))) (*.f64 (exp.f64 (pow.f64 M 2)) 4))
(*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2)))
(/.f64 (+.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 M)))) (neg.f64 (neg.f64 (neg.f64 (cos.f64 M))))) (*.f64 2 (neg.f64 (exp.f64 (pow.f64 M 2)))))
(*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2)))
(neg.f64 (/.f64 (cos.f64 M) (neg.f64 (exp.f64 (pow.f64 M 2)))))
(*.f64 (exp.f64 (neg.f64 (pow.f64 M 2))) (cos.f64 M))
(/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2)))

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))

Compiler

Compiled 34 to 25 computations (26.5% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	m	@	0	(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
0.0ms	m	@	inf	(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
0.0ms	m	@	-inf	(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))

rewrite132.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1694×	`bool.json-1`
1694×	`bool.json-2`
1646×	`rational.json-1`
1174×	`rational.json-simplify-2`
1100×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	87	17
2	226	17
3	450	17
4	889	17
5	1887	17
6	3994	17
7	7047	17

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (*.f64 -1/4 (pow.f64 m 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (*.f64 -1/4 (pow.f64 m 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 (*.f64 -1/4 (pow.f64 m 2))) 1/2) (*.f64 (exp.f64 (*.f64 -1/4 (pow.f64 m 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (*.f64 -1/4 (pow.f64 m 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (exp.f64 (*.f64 -1/4 (pow.f64 m 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (*.f64 -1/4 (pow.f64 m 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (*.f64 -1/4 (pow.f64 m 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (exp.f64 (*.f64 -1/4 (pow.f64 m 2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (exp.f64 (*.f64 -1/4 (pow.f64 m 2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 (*.f64 -1/4 (pow.f64 m 2))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (exp.f64 (*.f64 -1/4 (pow.f64 m 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (exp.f64 (*.f64 -1/4 (pow.f64 m 2))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (exp.f64 (*.f64 -1/4 (pow.f64 m 2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (exp.f64 (*.f64 -1/4 (pow.f64 m 2))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (*.f64 (pow.f64 m 2) -1/8)) (exp.f64 (*.f64 (pow.f64 m 2) -1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (*.f64 -1/4 (pow.f64 m 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (exp.f64 (*.f64 -1/4 (pow.f64 m 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 (*.f64 -1/4 (pow.f64 m 2))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 (*.f64 -1/4 (pow.f64 m 2))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (exp.f64 (*.f64 -1/4 (pow.f64 m 2))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (exp.f64 (*.f64 -1/4 (pow.f64 m 2))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (exp.f64 (*.f64 -1/4 (pow.f64 m 2))) 8))) (*.f64 2 (*.f64 2 (*.f64 (exp.f64 (*.f64 -1/4 (pow.f64 m 2))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (exp.f64 (*.f64 -1/4 (pow.f64 m 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (exp.f64 (*.f64 -1/4 (pow.f64 m 2))) (exp.f64 (*.f64 -1/4 (pow.f64 m 2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (exp.f64 (*.f64 -1/4 (pow.f64 m 2))) (exp.f64 (*.f64 -1/4 (pow.f64 m 2))))))))

simplify109.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1922×	`rational.json-simplify-19`
1276×	`rational.json-simplify-2`
936×	`rational.json-simplify-1`
902×	`rational.json-simplify-59`
808×	`rational.json-simplify-61`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	486
1	125	486
2	311	486
3	1003	486
4	3064	486
5	7099	486

Stop Event

1×	node limit

Counts

26 → 32

Calls

Call 1

Inputs
1
(+.f64 (*.f64 -1/4 (pow.f64 m 2)) 1)
(+.f64 (.f64 -1/4 (pow.f64 m 2)) (+.f64 1 (.f64 1/32 (pow.f64 m 4))))
(+.f64 (.f64 -1/4 (pow.f64 m 2)) (+.f64 1 (+.f64 (.f64 -1/384 (pow.f64 m 6)) (*.f64 1/32 (pow.f64 m 4)))))
(+.f64 (exp.f64 (*.f64 -1/4 (pow.f64 m 2))) 0)
(+.f64 0 (exp.f64 (*.f64 -1/4 (pow.f64 m 2))))
(+.f64 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) 1/2) (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) 1/2))
(-.f64 (exp.f64 (*.f64 -1/4 (pow.f64 m 2))) 0)
(.f64 2 (.f64 (exp.f64 (*.f64 -1/4 (pow.f64 m 2))) 1/2))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) 1)
(.f64 1 (exp.f64 (.f64 -1/4 (pow.f64 m 2))))
(.f64 (.f64 2 (exp.f64 (*.f64 -1/4 (pow.f64 m 2)))) 1/2)
(.f64 4 (/.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) 4))
(.f64 (.f64 (exp.f64 (*.f64 -1/4 (pow.f64 m 2))) 4) 1/4)
(.f64 1/2 (.f64 2 (exp.f64 (*.f64 -1/4 (pow.f64 m 2)))))
(.f64 (.f64 (exp.f64 (*.f64 -1/4 (pow.f64 m 2))) 1/2) 2)
(.f64 1/4 (.f64 (exp.f64 (*.f64 -1/4 (pow.f64 m 2))) 4))
(.f64 (/.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) 4) 4)
(.f64 (exp.f64 (.f64 (pow.f64 m 2) -1/8)) (exp.f64 (*.f64 (pow.f64 m 2) -1/8)))
(/.f64 (exp.f64 (*.f64 -1/4 (pow.f64 m 2))) 1)
(/.f64 (.f64 2 (exp.f64 (.f64 -1/4 (pow.f64 m 2)))) 2)
(/.f64 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) 4) 4)
(/.f64 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) 8) 8)
(/.f64 (.f64 2 (.f64 (exp.f64 (*.f64 -1/4 (pow.f64 m 2))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) 8))) (.f64 2 (.f64 2 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) 8)))) 64)

Outputs
1
(+.f64 (*.f64 -1/4 (pow.f64 m 2)) 1)
(+.f64 1 (*.f64 -1/4 (pow.f64 m 2)))
(+.f64 (.f64 -1/4 (pow.f64 m 2)) (+.f64 1 (.f64 1/32 (pow.f64 m 4))))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 m 2)) (.f64 1/32 (pow.f64 m 4))))
(+.f64 (.f64 -1/4 (pow.f64 m 2)) (+.f64 1 (+.f64 (.f64 -1/384 (pow.f64 m 6)) (*.f64 1/32 (pow.f64 m 4)))))
(+.f64 (.f64 -1/4 (pow.f64 m 2)) (+.f64 1 (+.f64 (.f64 1/32 (pow.f64 m 4)) (*.f64 -1/384 (pow.f64 m 6)))))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 m 2)) (+.f64 (.f64 1/32 (pow.f64 m 4)) (*.f64 -1/384 (pow.f64 m 6)))))
(+.f64 (.f64 -1/4 (pow.f64 m 2)) (+.f64 (.f64 1/32 (pow.f64 m 4)) (+.f64 1 (*.f64 -1/384 (pow.f64 m 6)))))
(+.f64 (exp.f64 (*.f64 -1/4 (pow.f64 m 2))) 0)
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(+.f64 0 (exp.f64 (*.f64 -1/4 (pow.f64 m 2))))
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(+.f64 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) 1/2) (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) 1/2))
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(-.f64 (exp.f64 (*.f64 -1/4 (pow.f64 m 2))) 0)
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(.f64 2 (.f64 (exp.f64 (*.f64 -1/4 (pow.f64 m 2))) 1/2))
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) 1)
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(.f64 1 (exp.f64 (.f64 -1/4 (pow.f64 m 2))))
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(.f64 (.f64 2 (exp.f64 (*.f64 -1/4 (pow.f64 m 2)))) 1/2)
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(.f64 4 (/.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) 4))
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(.f64 (.f64 (exp.f64 (*.f64 -1/4 (pow.f64 m 2))) 4) 1/4)
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(.f64 1/2 (.f64 2 (exp.f64 (*.f64 -1/4 (pow.f64 m 2)))))
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(.f64 (.f64 (exp.f64 (*.f64 -1/4 (pow.f64 m 2))) 1/2) 2)
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(.f64 1/4 (.f64 (exp.f64 (*.f64 -1/4 (pow.f64 m 2))) 4))
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(.f64 (/.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) 4) 4)
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(.f64 (exp.f64 (.f64 (pow.f64 m 2) -1/8)) (exp.f64 (*.f64 (pow.f64 m 2) -1/8)))
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(/.f64 (exp.f64 (*.f64 -1/4 (pow.f64 m 2))) 1)
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(/.f64 (.f64 2 (exp.f64 (.f64 -1/4 (pow.f64 m 2)))) 2)
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(/.f64 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) 4) 4)
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(/.f64 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) 8) 8)
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(/.f64 (.f64 2 (.f64 (exp.f64 (*.f64 -1/4 (pow.f64 m 2))) 8)) 16)
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(/.f64 (.f64 2 (.f64 2 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) 8))) 32)
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) 8))) (.f64 2 (.f64 2 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 m 2))) 8)))) 64)
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))

eval998.0ms (4%)

Compiler: Compiled 25746 to 14863 computations (42.3% saved)

prune389.0ms (1.6%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	713	12	725
Fresh	0	2	2
Picked	0	1	1
Done	3	1	4
Total	716	16	732

Error

1.4b

Counts

732 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	27.4b	(/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2)))
	47.1b	(/.f64 1 (/.f64 (exp.f64 l) (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))))
	61.1b	(+.f64 1 (*.f64 (pow.f64 M 2) -3/2))
	56.2b	(.f64 (+.f64 (.f64 K (.f64 -1/2 (.f64 (neg.f64 (sin.f64 M)) (+.f64 n m)))) (+.f64 (.f64 (cos.f64 M) (.f64 -1/8 (*.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))) (cos.f64 M))) (exp.f64 (neg.f64 l)))
	47.3b	(.f64 (+.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))) (exp.f64 (neg.f64 l)))
▶	61.0b	(.f64 (neg.f64 (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M))) (+.f64 l -1))
	50.6b	(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 (pow.f64 (+.f64 m n) 2) 1/4)))) (+.f64 1 (.f64 (pow.f64 (+.f64 m n) 2) (.f64 -1/8 (pow.f64 K 2)))))
▶	45.5b	(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M)))
	46.1b	(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 m (*.f64 K 1/2)) M)))
	47.1b	(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 K (*.f64 (+.f64 n m) 1/2))))
▶	29.8b	(.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (pow.f64 n 2))))
✓	28.4b	(.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (pow.f64 m 2))))
✓	43.1b	(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
▶	60.3b	(*.f64 (cos.f64 M) 1)
▶	15.1b	(.f64 -1/2 (.f64 n (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) l))) (*.f64 (neg.f64 (sin.f64 M)) K))))
	60.8b	(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))

Compiler

Compiled 599 to 453 computations (24.4% saved)

localize52.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 n (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) l))) (.f64 (neg.f64 (sin.f64 M)) K)))
✓	0.0b	(pow.f64 (-.f64 (*.f64 1/2 n) M) 2)
✓	0.1b	(*.f64 (neg.f64 (sin.f64 M)) K)
✓	1.3b	(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) l))) (*.f64 (neg.f64 (sin.f64 M)) K))

Compiler

Compiled 152 to 75 computations (50.7% saved)

series35.0ms (0.1%)

Counts

4 → 168

Calls

42 calls:

Time	Variable		Expression
5.0ms	M	@	(.f64 n (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) l))) (.f64 (neg.f64 (sin.f64 M)) K)))
2.0ms	M	@	(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) l))) (*.f64 (neg.f64 (sin.f64 M)) K))
2.0ms	m	@	(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) l))) (*.f64 (neg.f64 (sin.f64 M)) K))
1.0ms	K	@	(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) l))) (*.f64 (neg.f64 (sin.f64 M)) K))
1.0ms	n	@	(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) l))) (*.f64 (neg.f64 (sin.f64 M)) K))

rewrite91.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

636×	`bool.json-1`
636×	`bool.json-2`
620×	`rational.json-1`
620×	`rational.json-2`
620×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	170
1	236	170
2	650	170
3	1690	170
4	6909	170

Stop Event

1×	node limit

Counts

4 → 34

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (.f64 (sin.f64 M) (neg.f64 K))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (.f64 (sin.f64 M) (neg.f64 K))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (.f64 (sin.f64 M) (neg.f64 K))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (.f64 (sin.f64 M) (neg.f64 K))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (.f64 (sin.f64 M) (.f64 -2 K))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (.f64 (sin.f64 M) (neg.f64 K))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (.f64 (sin.f64 M) (neg.f64 K))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (.f64 (sin.f64 M) K)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (.f64 (sin.f64 M) (neg.f64 K)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (.f64 (sin.f64 M) (neg.f64 K))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (.f64 (sin.f64 M) (neg.f64 K))))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (.f64 (sin.f64 M) (neg.f64 K))) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (*.f64 (sin.f64 M) (neg.f64 K))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 M) (neg.f64 K)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sin.f64 M) (neg.f64 K)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sin.f64 M) (neg.f64 K)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 M) (neg.f64 K)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 M) (.f64 -2 K)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (sin.f64 M) (neg.f64 K)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 (sin.f64 M) (neg.f64 K)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (sin.f64 M) K))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (sin.f64 M) (neg.f64 K))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (sin.f64 M) (neg.f64 K)) (.f64 (sin.f64 M) (neg.f64 K)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (sin.f64 M) (neg.f64 K)) (*.f64 (sin.f64 M) (neg.f64 K)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (-.f64 (.f64 n 1/2) M) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (-.f64 (.f64 n 1/2) M) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (pow.f64 (-.f64 (.f64 n 1/2) M) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (pow.f64 (-.f64 (.f64 n 1/2) M) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (pow.f64 (-.f64 (.f64 n 1/2) M) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x and (pow.f64 (-.f64 (.f64 n 1/2) M) 2) (pow.f64 (-.f64 (.f64 n 1/2) M) 2))))) (#(struct:change #<rule egg-rr> (2) ((x or (pow.f64 (-.f64 (.f64 n 1/2) M) 2) (pow.f64 (-.f64 (*.f64 n 1/2) M) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 n (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (.f64 (sin.f64 M) (neg.f64 K)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 n (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (.f64 (sin.f64 M) (neg.f64 K)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 n (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (.f64 (sin.f64 M) (neg.f64 K)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 n (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (.f64 (sin.f64 M) (neg.f64 K)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (.f64 n (.f64 (sin.f64 M) (.f64 -2 K)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 n (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (.f64 (sin.f64 M) (neg.f64 K)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 n (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (.f64 (sin.f64 M) (neg.f64 K)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 n (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (.f64 (sin.f64 M) (neg.f64 K))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 n (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (.f64 (sin.f64 M) (neg.f64 K)))) (.f64 n (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (.f64 (sin.f64 M) (neg.f64 K)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 n (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (.f64 (sin.f64 M) (neg.f64 K)))) (.f64 n (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (.f64 (sin.f64 M) (neg.f64 K)))))))))

simplify804.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1164×	`rational.json-simplify-19`
946×	`rational.json-simplify-51`
934×	`rational.json-simplify-35`
754×	`rational.json-simplify-40`
744×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	309	13976
1	819	13234
2	1896	12708
3	3336	12622
4	6914	12622

Stop Event

1×	node limit

Counts

202 → 220

Calls

Call 1

Inputs
(.f64 -1 (.f64 K (.f64 (sin.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) l))))))
(.f64 -1 (.f64 K (.f64 (sin.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) l))))))
(.f64 -1 (.f64 K (.f64 (sin.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) l))))))
(.f64 -1 (.f64 K (.f64 (sin.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) l))))))
(.f64 -1 (.f64 K (.f64 (sin.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) l))))))
(.f64 -1 (.f64 K (.f64 (sin.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) l))))))
(.f64 -1 (.f64 K (.f64 (sin.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) l))))))
(.f64 -1 (.f64 K (.f64 (sin.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) l))))))
(.f64 -1 (.f64 (exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m)))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) l))) (*.f64 K (sin.f64 M))))
(.f64 -1 (.f64 (exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m)))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) l))) (*.f64 K (sin.f64 M))))
(.f64 -1 (.f64 (exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m)))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) l))) (*.f64 K (sin.f64 M))))
(.f64 -1 (.f64 (exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m)))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) l))) (*.f64 K (sin.f64 M))))
(.f64 -1 (.f64 K (*.f64 (sin.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))))))
(+.f64 (.f64 -1 (.f64 n (.f64 K (.f64 (sin.f64 M) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))) M))))) (.f64 -1 (.f64 K (.f64 (sin.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2))))))))
(+.f64 (.f64 -1 (.f64 n (.f64 K (.f64 (sin.f64 M) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))) M))))) (+.f64 (.f64 -1 (.f64 K (.f64 (sin.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2))))))) (.f64 -1 (.f64 (pow.f64 n 2) (.f64 (-.f64 (.f64 1/2 (pow.f64 M 2)) 1/4) (.f64 K (.f64 (sin.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))))))))))
(+.f64 (.f64 -1 (.f64 n (.f64 K (.f64 (sin.f64 M) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2)))) M))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/6 (pow.f64 M 3)) (.f64 -1/4 M)) (.f64 (pow.f64 n 3) (.f64 K (.f64 (sin.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2))))))))) (+.f64 (.f64 -1 (.f64 K (.f64 (sin.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2))))))) (.f64 -1 (.f64 (pow.f64 n 2) (.f64 (-.f64 (.f64 1/2 (pow.f64 M 2)) 1/4) (.f64 K (*.f64 (sin.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 M 2))))))))))))
(.f64 -1 (.f64 K (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))) (sin.f64 M))))
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(.f64 -1 (.f64 (exp.f64 (-.f64 (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m)))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) l))) (.f64 n (.f64 K (sin.f64 M)))))
(.f64 -1 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/4 (pow.f64 n 2))))) (.f64 n (*.f64 K M))))
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(.f64 -1 (.f64 n (.f64 K (.f64 (sin.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 n) M) 2) l)))))))
(.f64 -1 (.f64 n (.f64 K (.f64 (sin.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 n) M) 2) l)))))))
(.f64 -1 (.f64 n (.f64 K (.f64 (sin.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 n) M) 2) l)))))))
(.f64 -1 (.f64 n (.f64 K (.f64 (sin.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 n) M) 2) l)))))))
(.f64 -1 (.f64 n (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (+.f64 (.f64 1/2 n) (.f64 -1 M)) 2)))) (.f64 K (sin.f64 M)))))
(.f64 -1 (.f64 n (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (+.f64 (.f64 1/2 n) (.f64 -1 M)) 2)))) (.f64 K (sin.f64 M)))))
(.f64 -1 (.f64 n (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (+.f64 (.f64 1/2 n) (.f64 -1 M)) 2)))) (.f64 K (sin.f64 M)))))
(.f64 -1 (.f64 n (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (+.f64 (.f64 1/2 n) (.f64 -1 M)) 2)))) (.f64 K (sin.f64 M)))))
(.f64 -1 (.f64 n (.f64 K (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 1/2 n) M) 2))) (sin.f64 M)))))
(+.f64 (.f64 n (.f64 K (.f64 l (.f64 (sin.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 n) M) 2))))))) (.f64 -1 (.f64 n (.f64 K (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 n) M) 2))) (sin.f64 M))))))
(+.f64 (.f64 n (.f64 K (.f64 l (.f64 (sin.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 n) M) 2))))))) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (.f64 (pow.f64 l 2) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 n) M) 2))) (sin.f64 M)))))) (.f64 -1 (.f64 n (.f64 K (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 n) M) 2))) (sin.f64 M)))))))
(+.f64 (.f64 n (.f64 K (.f64 l (.f64 (sin.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 n) M) 2))))))) (+.f64 (.f64 1/6 (.f64 n (.f64 K (.f64 (pow.f64 l 3) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 n) M) 2))) (sin.f64 M)))))) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (.f64 (pow.f64 l 2) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 n) M) 2))) (sin.f64 M)))))) (.f64 -1 (.f64 n (.f64 K (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 n) M) 2))) (sin.f64 M))))))))
(.f64 -1 (.f64 n (.f64 K (.f64 (sin.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 n) M) 2) l)))))))
(.f64 -1 (.f64 n (.f64 K (.f64 (sin.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 n) M) 2) l)))))))
(.f64 -1 (.f64 n (.f64 K (.f64 (sin.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 n) M) 2) l)))))))
(.f64 -1 (.f64 n (.f64 K (.f64 (sin.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 n) M) 2) l)))))))
(.f64 -1 (.f64 n (.f64 K (.f64 (sin.f64 M) (exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))))))
(.f64 -1 (.f64 n (.f64 K (.f64 (sin.f64 M) (exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))))))
(.f64 -1 (.f64 n (.f64 K (.f64 (sin.f64 M) (exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))))))
(.f64 -1 (.f64 n (.f64 K (.f64 (sin.f64 M) (exp.f64 (-.f64 (+.f64 (.f64 -1 l) (fabs.f64 (-.f64 m n))) (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))))))
(.f64 -1 (.f64 n (.f64 K (.f64 (sin.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 n) M) 2) l)))))))
(.f64 -1 (.f64 n (.f64 K (.f64 (sin.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 n) M) 2) l)))))))
(.f64 -1 (.f64 n (.f64 K (.f64 (sin.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 n) M) 2) l)))))))
(.f64 -1 (.f64 n (.f64 K (.f64 (sin.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 n) M) 2) l)))))))
(.f64 -1 (.f64 n (.f64 K (.f64 (sin.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 n) M) 2) l)))))))
(.f64 -1 (.f64 n (.f64 K (.f64 (sin.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 n) M) 2) l)))))))
(.f64 -1 (.f64 n (.f64 K (.f64 (sin.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 n) M) 2) l)))))))
(.f64 -1 (.f64 n (.f64 K (.f64 (sin.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 n) M) 2) l)))))))
(.f64 -1 (.f64 n (.f64 K (.f64 (sin.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 n) M) 2) l)))))))
(.f64 -1 (.f64 n (.f64 K (.f64 (sin.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 n) M) 2) l)))))))
(.f64 -1 (.f64 n (.f64 K (.f64 (sin.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 n) M) 2) l)))))))
(.f64 -1 (.f64 n (.f64 K (.f64 (sin.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 1/2 n) M) 2) l)))))))
(+.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (*.f64 (sin.f64 M) (neg.f64 K))) 0)
(+.f64 0 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (*.f64 (sin.f64 M) (neg.f64 K))))
(-.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (*.f64 (sin.f64 M) (neg.f64 K))) 0)
(/.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (*.f64 (sin.f64 M) (neg.f64 K))) 1)
(/.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (.f64 (sin.f64 M) (.f64 -2 K))) 2)
(/.f64 (.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (.f64 (sin.f64 M) (neg.f64 K))) 4) 4)
(/.f64 (.f64 2 (.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (*.f64 (sin.f64 M) (neg.f64 K))) 4)) 8)
(neg.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (*.f64 (sin.f64 M) K)))
(+.f64 (*.f64 (sin.f64 M) (neg.f64 K)) 0)
(+.f64 0 (*.f64 (sin.f64 M) (neg.f64 K)))
(-.f64 (*.f64 (sin.f64 M) (neg.f64 K)) 0)
(/.f64 (*.f64 (sin.f64 M) (neg.f64 K)) 1)
(/.f64 (.f64 (sin.f64 M) (.f64 -2 K)) 2)
(/.f64 (.f64 (.f64 (sin.f64 M) (neg.f64 K)) 4) 4)
(/.f64 (.f64 2 (.f64 (*.f64 (sin.f64 M) (neg.f64 K)) 4)) 8)
(neg.f64 (*.f64 (sin.f64 M) K))
(+.f64 (pow.f64 (-.f64 (*.f64 n 1/2) M) 2) 0)
(+.f64 0 (pow.f64 (-.f64 (*.f64 n 1/2) M) 2))
(-.f64 (pow.f64 (-.f64 (*.f64 n 1/2) M) 2) 0)
(.f64 2 (/.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) 2))
(.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) 1)
(.f64 1 (pow.f64 (-.f64 (.f64 n 1/2) M) 2))
(.f64 (.f64 2 (pow.f64 (-.f64 (*.f64 n 1/2) M) 2)) 1/2)
(/.f64 (pow.f64 (-.f64 (*.f64 n 1/2) M) 2) 1)
(/.f64 (.f64 2 (pow.f64 (-.f64 (.f64 n 1/2) M) 2)) 2)
(/.f64 (.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) 4) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 (-.f64 (*.f64 n 1/2) M) 2) 4)) 8)
(+.f64 (.f64 n (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (.f64 (sin.f64 M) (neg.f64 K)))) 0)
(+.f64 0 (.f64 n (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (.f64 (sin.f64 M) (neg.f64 K)))))
(-.f64 (.f64 n (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (.f64 (sin.f64 M) (neg.f64 K)))) 0)
(/.f64 (.f64 n (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (.f64 (sin.f64 M) (neg.f64 K)))) 1)
(/.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (.f64 n (.f64 (sin.f64 M) (*.f64 -2 K)))) 2)
(/.f64 (.f64 (.f64 n (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (*.f64 (sin.f64 M) (neg.f64 K)))) 4) 4)
(/.f64 (.f64 2 (.f64 (.f64 n (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (.f64 (sin.f64 M) (neg.f64 K)))) 4)) 8)

Outputs
(.f64 -1 (.f64 K (.f64 (sin.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) l))))))
(neg.f64 (.f64 (.f64 K (sin.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2))))))
(.f64 (sin.f64 M) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2)))) (neg.f64 K)))
(.f64 K (.f64 (sin.f64 M) (neg.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2)))))))
(.f64 K (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2)))) (neg.f64 (sin.f64 M))))
(.f64 -1 (.f64 K (.f64 (sin.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) l))))))
(neg.f64 (.f64 (.f64 K (sin.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2))))))
(.f64 (sin.f64 M) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2)))) (neg.f64 K)))
(.f64 K (.f64 (sin.f64 M) (neg.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2)))))))
(.f64 K (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2)))) (neg.f64 (sin.f64 M))))
(.f64 -1 (.f64 K (.f64 (sin.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) l))))))
(neg.f64 (.f64 (.f64 K (sin.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2))))))
(.f64 (sin.f64 M) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2)))) (neg.f64 K)))
(.f64 K (.f64 (sin.f64 M) (neg.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2)))))))
(.f64 K (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2)))) (neg.f64 (sin.f64 M))))
(.f64 -1 (.f64 K (.f64 (sin.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) l))))))
(neg.f64 (.f64 (.f64 K (sin.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2))))))
(.f64 (sin.f64 M) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2)))) (neg.f64 K)))
(.f64 K (.f64 (sin.f64 M) (neg.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2)))))))
(.f64 K (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2)))) (neg.f64 (sin.f64 M))))
(.f64 -1 (.f64 K (.f64 (sin.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) l))))))
(neg.f64 (.f64 (.f64 K (sin.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2))))))
(.f64 (sin.f64 M) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2)))) (neg.f64 K)))
(.f64 K (.f64 (sin.f64 M) (neg.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2)))))))
(.f64 K (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2)))) (neg.f64 (sin.f64 M))))
(.f64 -1 (.f64 K (.f64 (sin.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 n) M) 2) l))))))
(neg.f64 (.f64 (.f64 K (sin.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2))))))
(.f64 (sin.f64 M) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2)))) (neg.f64 K)))
(.f64 K (.f64 (sin.f64 M) (neg.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2)))))))
(.f64 K (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2)))) (neg.f64 (sin.f64 M))))
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(.f64 K (.f64 (sin.f64 M) (neg.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2)))))))
(.f64 K (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2)))) (neg.f64 (sin.f64 M))))
(-.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (*.f64 (sin.f64 M) (neg.f64 K))) 0)
(neg.f64 (.f64 (.f64 K (sin.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2))))))
(.f64 (sin.f64 M) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2)))) (neg.f64 K)))
(.f64 K (.f64 (sin.f64 M) (neg.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2)))))))
(.f64 K (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2)))) (neg.f64 (sin.f64 M))))
(/.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (*.f64 (sin.f64 M) (neg.f64 K))) 1)
(neg.f64 (.f64 (.f64 K (sin.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2))))))
(.f64 (sin.f64 M) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2)))) (neg.f64 K)))
(.f64 K (.f64 (sin.f64 M) (neg.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2)))))))
(.f64 K (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2)))) (neg.f64 (sin.f64 M))))
(/.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (.f64 (sin.f64 M) (.f64 -2 K))) 2)
(neg.f64 (.f64 (.f64 K (sin.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2))))))
(.f64 (sin.f64 M) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2)))) (neg.f64 K)))
(.f64 K (.f64 (sin.f64 M) (neg.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2)))))))
(.f64 K (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2)))) (neg.f64 (sin.f64 M))))
(/.f64 (.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (.f64 (sin.f64 M) (neg.f64 K))) 4) 4)
(neg.f64 (.f64 (.f64 K (sin.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2))))))
(.f64 (sin.f64 M) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2)))) (neg.f64 K)))
(.f64 K (.f64 (sin.f64 M) (neg.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2)))))))
(.f64 K (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2)))) (neg.f64 (sin.f64 M))))
(/.f64 (.f64 2 (.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (*.f64 (sin.f64 M) (neg.f64 K))) 4)) 8)
(neg.f64 (.f64 (.f64 K (sin.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2))))))
(.f64 (sin.f64 M) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2)))) (neg.f64 K)))
(.f64 K (.f64 (sin.f64 M) (neg.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2)))))))
(.f64 K (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2)))) (neg.f64 (sin.f64 M))))
(neg.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (*.f64 (sin.f64 M) K)))
(neg.f64 (.f64 (.f64 K (sin.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2))))))
(.f64 (sin.f64 M) (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2)))) (neg.f64 K)))
(.f64 K (.f64 (sin.f64 M) (neg.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2)))))))
(.f64 K (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2)))) (neg.f64 (sin.f64 M))))
(+.f64 (*.f64 (sin.f64 M) (neg.f64 K)) 0)
(neg.f64 (*.f64 K (sin.f64 M)))
(*.f64 K (neg.f64 (sin.f64 M)))
(+.f64 0 (*.f64 (sin.f64 M) (neg.f64 K)))
(neg.f64 (*.f64 K (sin.f64 M)))
(*.f64 K (neg.f64 (sin.f64 M)))
(-.f64 (*.f64 (sin.f64 M) (neg.f64 K)) 0)
(neg.f64 (*.f64 K (sin.f64 M)))
(*.f64 K (neg.f64 (sin.f64 M)))
(/.f64 (*.f64 (sin.f64 M) (neg.f64 K)) 1)
(neg.f64 (*.f64 K (sin.f64 M)))
(*.f64 K (neg.f64 (sin.f64 M)))
(/.f64 (.f64 (sin.f64 M) (.f64 -2 K)) 2)
(neg.f64 (*.f64 K (sin.f64 M)))
(*.f64 K (neg.f64 (sin.f64 M)))
(/.f64 (.f64 (.f64 (sin.f64 M) (neg.f64 K)) 4) 4)
(neg.f64 (*.f64 K (sin.f64 M)))
(*.f64 K (neg.f64 (sin.f64 M)))
(/.f64 (.f64 2 (.f64 (*.f64 (sin.f64 M) (neg.f64 K)) 4)) 8)
(neg.f64 (*.f64 K (sin.f64 M)))
(*.f64 K (neg.f64 (sin.f64 M)))
(neg.f64 (*.f64 (sin.f64 M) K))
(neg.f64 (*.f64 K (sin.f64 M)))
(*.f64 K (neg.f64 (sin.f64 M)))
(+.f64 (pow.f64 (-.f64 (*.f64 n 1/2) M) 2) 0)
(pow.f64 (-.f64 (*.f64 n 1/2) M) 2)
(+.f64 0 (pow.f64 (-.f64 (*.f64 n 1/2) M) 2))
(pow.f64 (-.f64 (*.f64 n 1/2) M) 2)
(-.f64 (pow.f64 (-.f64 (*.f64 n 1/2) M) 2) 0)
(pow.f64 (-.f64 (*.f64 n 1/2) M) 2)
(.f64 2 (/.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) 2))
(pow.f64 (-.f64 (*.f64 n 1/2) M) 2)
(.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) 1)
(pow.f64 (-.f64 (*.f64 n 1/2) M) 2)
(.f64 1 (pow.f64 (-.f64 (.f64 n 1/2) M) 2))
(pow.f64 (-.f64 (*.f64 n 1/2) M) 2)
(.f64 (.f64 2 (pow.f64 (-.f64 (*.f64 n 1/2) M) 2)) 1/2)
(pow.f64 (-.f64 (*.f64 n 1/2) M) 2)
(/.f64 (pow.f64 (-.f64 (*.f64 n 1/2) M) 2) 1)
(pow.f64 (-.f64 (*.f64 n 1/2) M) 2)
(/.f64 (.f64 2 (pow.f64 (-.f64 (.f64 n 1/2) M) 2)) 2)
(pow.f64 (-.f64 (*.f64 n 1/2) M) 2)
(/.f64 (.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) 4) 4)
(pow.f64 (-.f64 (*.f64 n 1/2) M) 2)
(/.f64 (.f64 2 (.f64 (pow.f64 (-.f64 (*.f64 n 1/2) M) 2) 4)) 8)
(pow.f64 (-.f64 (*.f64 n 1/2) M) 2)
(+.f64 (.f64 n (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (.f64 (sin.f64 M) (neg.f64 K)))) 0)
(.f64 n (neg.f64 (.f64 (.f64 K (sin.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2)))))))
(.f64 (.f64 (.f64 K (sin.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2))))) (neg.f64 n))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2)))) (.f64 n (.f64 K (neg.f64 (sin.f64 M)))))
(+.f64 0 (.f64 n (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (.f64 (sin.f64 M) (neg.f64 K)))))
(.f64 n (neg.f64 (.f64 (.f64 K (sin.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2)))))))
(.f64 (.f64 (.f64 K (sin.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2))))) (neg.f64 n))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2)))) (.f64 n (.f64 K (neg.f64 (sin.f64 M)))))
(-.f64 (.f64 n (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (.f64 (sin.f64 M) (neg.f64 K)))) 0)
(.f64 n (neg.f64 (.f64 (.f64 K (sin.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2)))))))
(.f64 (.f64 (.f64 K (sin.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2))))) (neg.f64 n))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2)))) (.f64 n (.f64 K (neg.f64 (sin.f64 M)))))
(/.f64 (.f64 n (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (.f64 (sin.f64 M) (neg.f64 K)))) 1)
(.f64 n (neg.f64 (.f64 (.f64 K (sin.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2)))))))
(.f64 (.f64 (.f64 K (sin.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2))))) (neg.f64 n))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2)))) (.f64 n (.f64 K (neg.f64 (sin.f64 M)))))
(/.f64 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (.f64 n (.f64 (sin.f64 M) (*.f64 -2 K)))) 2)
(.f64 n (neg.f64 (.f64 (.f64 K (sin.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2)))))))
(.f64 (.f64 (.f64 K (sin.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2))))) (neg.f64 n))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2)))) (.f64 n (.f64 K (neg.f64 (sin.f64 M)))))
(/.f64 (.f64 (.f64 n (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (*.f64 (sin.f64 M) (neg.f64 K)))) 4) 4)
(.f64 n (neg.f64 (.f64 (.f64 K (sin.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2)))))))
(.f64 (.f64 (.f64 K (sin.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2))))) (neg.f64 n))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2)))) (.f64 n (.f64 K (neg.f64 (sin.f64 M)))))
(/.f64 (.f64 2 (.f64 (.f64 n (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (.f64 n 1/2) M) 2) l))) (.f64 (sin.f64 M) (neg.f64 K)))) 4)) 8)
(.f64 n (neg.f64 (.f64 (.f64 K (sin.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2)))))))
(.f64 (.f64 (.f64 K (sin.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2))))) (neg.f64 n))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2)))) (.f64 n (.f64 K (neg.f64 (sin.f64 M)))))

localize6.0ms (0%)

Compiler: Compiled 13 to 9 computations (30.8% saved)

localize84.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)
✓	0.0b	(.f64 K (.f64 (+.f64 n m) 1/2))
✓	0.1b	(.f64 (neg.f64 (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M))) (+.f64 l -1))
✓	35.5b	(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))

Compiler

Compiled 75 to 39 computations (48% saved)

series12.0ms (0%)

Counts

4 → 192

Calls

48 calls:

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

rewrite90.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1448×	`bool.json-1`
1448×	`bool.json-2`
1404×	`rational.json-1`
1404×	`rational.json-2`
1404×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	118
1	185	118
2	485	118
3	1072	118
4	2337	118
5	5196	118

Stop Event

1×	node limit

Counts

4 → 65

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 1/2 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) 4)) (.f64 2 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x and (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x or (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) (neg.f64 (+.f64 l -1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) (neg.f64 (+.f64 l -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) (neg.f64 (+.f64 l -1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) (neg.f64 (+.f64 l -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) (.f64 (+.f64 l -1) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 l -1) (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) -4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 l -1) (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) -4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (+.f64 l -1) (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) -4))) (.f64 2 (.f64 (+.f64 l -1) (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) -4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) (+.f64 l -1)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) (neg.f64 (+.f64 l -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) (neg.f64 (+.f64 l -1))) (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) (neg.f64 (+.f64 l -1))))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) (neg.f64 (+.f64 l -1))) (.f64 (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M)) (neg.f64 (+.f64 l -1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 K (.f64 (+.f64 n m) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 K (+.f64 n m)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 K (.f64 (+.f64 n m) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 K (.f64 (+.f64 n m) 2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 K (.f64 (+.f64 n m) 2))) (.f64 2 (.f64 K (.f64 (+.f64 n m) 2)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 K (.f64 (+.f64 n m) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 K (.f64 (+.f64 n m) 1/2)) (.f64 K (.f64 (+.f64 n m) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 K (.f64 (+.f64 n m) 1/2)) (.f64 K (.f64 (+.f64 n m) 1/2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) (neg.f64 M))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) (-.f64 M 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 M) (.f64 K (.f64 (+.f64 n m) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) (-.f64 M 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (-.f64 (.f64 K (+.f64 n m)) (+.f64 M M)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 M (.f64 K (.f64 (+.f64 n m) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 M (.f64 K (.f64 (+.f64 n m) 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 1/2 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (.f64 1/2 (-.f64 M (.f64 K (.f64 (+.f64 n m) 1/2)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (.f64 1/2 (-.f64 M (.f64 K (.f64 (+.f64 n m) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 M (.f64 K (.f64 (+.f64 n m) 1/2))) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 M (.f64 K (.f64 (+.f64 n m) 1/2))) -4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (-.f64 M (.f64 K (.f64 (+.f64 n m) 1/2)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/2 (.f64 (-.f64 M (.f64 K (.f64 (+.f64 n m) 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 M (.f64 K (.f64 (+.f64 n m) 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 M (.f64 K (.f64 (+.f64 n m) 1/2))) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 M (.f64 K (.f64 (+.f64 n m) 1/2))) -4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 M (.f64 K (.f64 (+.f64 n m) 1/2))) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 M (.f64 K (.f64 (+.f64 n m) 1/2))) -4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (-.f64 M (.f64 K (.f64 (+.f64 n m) 1/2))) -4)) (.f64 2 (.f64 (-.f64 M (.f64 K (.f64 (+.f64 n m) 1/2))) -4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (-.f64 M (.f64 K (.f64 (+.f64 n m) 1/2))) 4) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 M (.f64 K (.f64 (+.f64 n m) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M) (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M) (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M))))))

simplify358.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1416×	`rational.json-simplify-35`
1258×	`rational.json-simplify-2`
918×	`rational.json-simplify-51`
852×	`rational.json-simplify-44`
758×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	318	10179
1	825	9863
2	1822	9323
3	3062	9261
4	5572	9261
5	7345	9261

Stop Event

1×	node limit

Counts

257 → 252

Calls

Call 1

Inputs
(cos.f64 (neg.f64 M))
(+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 K (*.f64 (sin.f64 (neg.f64 M)) (+.f64 n m)))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))) (.f64 -1/2 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (+.f64 n m))))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (sin.f64 (neg.f64 M)) (pow.f64 (+.f64 n m) 3)))) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))) (.f64 -1/2 (.f64 K (*.f64 (sin.f64 (neg.f64 M)) (+.f64 n m)))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (pow.f64 K 2)))) (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (pow.f64 K 2)))) (+.f64 (.f64 1/48 (.f64 (pow.f64 n 3) (.f64 (pow.f64 K 3) (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (*.f64 K m))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (pow.f64 m 2)))) (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 K m)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (pow.f64 m 2)))) (+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (+.f64 (.f64 1/48 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 (pow.f64 K 3) (pow.f64 m 3)))) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (*.f64 K m))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))) M))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 n m))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M) (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M) (+.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))) (pow.f64 M 2)))))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) M) (+.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (+.f64 (.f64 -1/6 (.f64 (sin.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (pow.f64 M 3))) (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (*.f64 K (+.f64 n m)))) (pow.f64 M 2))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m)))))
(cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m)))))
(cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m)))))
(cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 n m)))))
(.f64 -1 (.f64 (cos.f64 (neg.f64 M)) (-.f64 l 1)))
(+.f64 (.f64 1/2 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (.f64 (+.f64 n m) (-.f64 l 1))))) (.f64 -1 (.f64 (cos.f64 (neg.f64 M)) (-.f64 l 1))))
(+.f64 (.f64 1/2 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (.f64 (+.f64 n m) (-.f64 l 1))))) (+.f64 (.f64 1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (.f64 (pow.f64 (+.f64 n m) 2) (-.f64 l 1))))) (.f64 -1 (.f64 (cos.f64 (neg.f64 M)) (-.f64 l 1)))))
(+.f64 (.f64 1/2 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (.f64 (+.f64 n m) (-.f64 l 1))))) (+.f64 (.f64 1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (.f64 (pow.f64 (+.f64 n m) 2) (-.f64 l 1))))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 K 3) (.f64 (sin.f64 (neg.f64 M)) (.f64 (pow.f64 (+.f64 n m) 3) (-.f64 l 1))))) (.f64 -1 (.f64 (cos.f64 (neg.f64 M)) (-.f64 l 1))))))
(.f64 -1 (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)) (-.f64 l 1)))
(.f64 -1 (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)) (-.f64 l 1)))
(.f64 -1 (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)) (-.f64 l 1)))
(.f64 -1 (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)) (-.f64 l 1)))
(.f64 -1 (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)) (-.f64 l 1)))
(.f64 -1 (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)) (-.f64 l 1)))
(.f64 -1 (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)) (-.f64 l 1)))
(.f64 -1 (.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M)) (-.f64 l 1)))
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(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 M (.f64 K (.f64 (+.f64 n m) 1/2))) -4)) (.f64 2 (.f64 (-.f64 M (.f64 K (.f64 (+.f64 n m) 1/2))) -4))) 16)
(/.f64 (/.f64 (.f64 (-.f64 M (.f64 K (*.f64 (+.f64 n m) 1/2))) 4) -1) 4)
(neg.f64 (-.f64 M (.f64 K (.f64 (+.f64 n m) 1/2))))

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

localize21.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M)))
✓	0.0b	(-.f64 (.f64 n (.f64 K 1/2)) M)
✓	25.9b	(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))

Compiler

Compiled 50 to 28 computations (44% saved)

series12.0ms (0%)

Counts

3 → 120

Calls

30 calls:

Time	Variable		Point	Expression
3.0ms	n	@	inf	(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
1.0ms	l	@	inf	(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M)))
0.0ms	M	@	0	(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
0.0ms	K	@	0	(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
0.0ms	n	@	0	(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M)))

rewrite121.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1590×	`bool.json-1`
1590×	`bool.json-2`
1546×	`rational.json-1`
1546×	`rational.json-2`
1546×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	79
1	153	75
2	419	75
3	941	75
4	2040	75
5	5155	75

Stop Event

1×	node limit

Counts

3 → 95

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)) 4)) (*.f64 2 (*.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x and (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)) (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x or (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)) (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 n (*.f64 K 1/2)) (neg.f64 M))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 n (*.f64 K 1/2)) M))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (*.f64 n (*.f64 K 1/2)) (-.f64 M 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 M) (*.f64 n (*.f64 K 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) (-.f64 M 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 n K) (+.f64 M M)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 n (*.f64 K 1/2)) M))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 M (*.f64 n (*.f64 K 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 M (*.f64 n (*.f64 K 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 M (*.f64 n (*.f64 K 1/2))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 1/2 (-.f64 M (*.f64 n (*.f64 K 1/2)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 1/2 (-.f64 M (*.f64 n (*.f64 K 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 M (*.f64 n (*.f64 K 1/2))) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (-.f64 M (*.f64 n (*.f64 K 1/2)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 M (*.f64 n (*.f64 K 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 M (*.f64 n (*.f64 K 1/2))) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M) 4)) (*.f64 2 (*.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 M (*.f64 n (*.f64 K 1/2))) 4) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 M (*.f64 n (*.f64 K 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (-.f64 (*.f64 n (*.f64 K 1/2)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f64 (*.f64 n (*.f64 K 1/2)) M) (-.f64 (*.f64 n (*.f64 K 1/2)) M))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 (*.f64 n (*.f64 K 1/2)) M) (-.f64 (*.f64 n (*.f64 K 1/2)) M))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)) (exp.f64 l)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)) (exp.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)) (exp.f64 l)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 (*.f64 1/2 (exp.f64 l)) (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)) (exp.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)) (*.f64 -1 (neg.f64 (exp.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (neg.f64 l)) (/.f64 1 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)) (exp.f64 l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 l) (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (*.f64 1/2 (exp.f64 l)) (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (-.f64 0 (/.f64 (exp.f64 l) (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (exp.f64 l) (/.f64 2 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (*.f64 (exp.f64 l) (/.f64 2 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (/.f64 (exp.f64 l) (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 (exp.f64 l) 2) (neg.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)) 2) (*.f64 (exp.f64 l) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)) (/.f64 2 (exp.f64 l))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (+.f64 (*.f64 (exp.f64 l) (/.f64 2 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)))) (*.f64 (exp.f64 l) (/.f64 2 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (*.f64 (exp.f64 l) 4) (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (*.f64 (exp.f64 l) 4) (neg.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)) 4) (*.f64 (exp.f64 l) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)) 4) (exp.f64 l)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M))) (neg.f64 (exp.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (exp.f64 l) (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M))) (*.f64 (/.f64 (exp.f64 l) (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M))) (/.f64 (exp.f64 l) (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 l) (/.f64 2 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)))) (*.f64 (*.f64 (/.f64 (exp.f64 l) (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M))) (/.f64 (exp.f64 l) (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)) 4) (exp.f64 l))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)))) (*.f64 2 (neg.f64 (exp.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)))) (*.f64 (*.f64 2 (neg.f64 (exp.f64 l))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)) 4)) (*.f64 2 (*.f64 (exp.f64 l) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)) 4)) (*.f64 8 (exp.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M))) (*.f64 1/2 (exp.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (/.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)) (exp.f64 l))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)) 2)) (neg.f64 (*.f64 (exp.f64 l) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)) 2)) (*.f64 (neg.f64 (exp.f64 l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)) 2)) (*.f64 (neg.f64 (*.f64 (exp.f64 l) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)))) (exp.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)))) (-.f64 0 (neg.f64 (exp.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)) 4) (exp.f64 l))) (*.f64 2 (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)) 4) (exp.f64 l)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (neg.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)))) (*.f64 2 (neg.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M))))) (+.f64 (*.f64 2 (neg.f64 (exp.f64 l))) (*.f64 2 (neg.f64 (exp.f64 l)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)) 2)) (neg.f64 (*.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)) 2))) (+.f64 (neg.f64 (*.f64 (exp.f64 l) 2)) (neg.f64 (*.f64 (exp.f64 l) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)))) (neg.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M))))) (*.f64 (exp.f64 l) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)) 4)) (exp.f64 l)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)) (neg.f64 (exp.f64 l))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)))) 2) (*.f64 1/2 (exp.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)) 4)) (-.f64 0 (*.f64 (exp.f64 l) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)) 2))) (*.f64 (exp.f64 l) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M))))) (neg.f64 (exp.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)) (exp.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)) (exp.f64 l)) (/.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)) (exp.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)) (exp.f64 l)) (/.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 K 1/2)) M)) (exp.f64 l)))))))

simplify289.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1434×	`rational.json-simplify-51`
1100×	`rational.json-simplify-35`
1088×	`rational.json-simplify-46`
1016×	`rational.json-simplify-61`
984×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	288	7471
1	800	6979
2	2259	6873
3	5215	6749

Stop Event

1×	node limit

Counts

215 → 209

Calls

Call 1

Inputs
(cos.f64 (neg.f64 M))
(+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 n (*.f64 K (sin.f64 (neg.f64 M))))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M))))) (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (cos.f64 (neg.f64 M)) (pow.f64 K 2))))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (cos.f64 (neg.f64 M)) (pow.f64 K 2)))) (.f64 1/48 (.f64 (pow.f64 n 3) (*.f64 (pow.f64 K 3) (sin.f64 (neg.f64 M))))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
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(/.f64 (.f64 1/2 (/.f64 (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M)) (exp.f64 l))) 1/2)
(/.f64 (neg.f64 (.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) 2)) (neg.f64 (.f64 (exp.f64 l) 2)))
(/.f64 (neg.f64 (.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) 2)) (.f64 (neg.f64 (exp.f64 l)) 2))
(/.f64 (neg.f64 (.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) 2)) (.f64 (neg.f64 (*.f64 (exp.f64 l) 2)) 1))
(/.f64 (neg.f64 (neg.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) (exp.f64 l))
(/.f64 (neg.f64 (neg.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) (-.f64 0 (neg.f64 (exp.f64 l))))
(/.f64 (+.f64 (.f64 2 (/.f64 (.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) 4) (exp.f64 l))) (.f64 2 (/.f64 (.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) 4) (exp.f64 l)))) 16)
(/.f64 (+.f64 (.f64 2 (neg.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) (.f64 2 (neg.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))) (+.f64 (.f64 2 (neg.f64 (exp.f64 l))) (.f64 2 (neg.f64 (exp.f64 l)))))
(/.f64 (+.f64 (neg.f64 (.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) 2)) (neg.f64 (.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) 2))) (+.f64 (neg.f64 (.f64 (exp.f64 l) 2)) (neg.f64 (.f64 (exp.f64 l) 2))))
(/.f64 (+.f64 (neg.f64 (neg.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) (neg.f64 (neg.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))) (*.f64 (exp.f64 l) 2))
(/.f64 (/.f64 (.f64 2 (.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) 4)) (exp.f64 l)) 8)
(/.f64 (/.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) (neg.f64 (exp.f64 l))) -1)
(/.f64 (/.f64 (neg.f64 (neg.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) 2) (*.f64 1/2 (exp.f64 l)))
(/.f64 (neg.f64 (.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) 4)) (-.f64 0 (.f64 (exp.f64 l) 4)))
(/.f64 (neg.f64 (neg.f64 (.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) 2))) (.f64 (exp.f64 l) 2))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))) (neg.f64 (exp.f64 l)))

Outputs
(cos.f64 (neg.f64 M))
(cos.f64 M)
(+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 n (*.f64 K (sin.f64 (neg.f64 M))))))
(+.f64 (cos.f64 M) (.f64 -1/2 (.f64 n (*.f64 K (neg.f64 (sin.f64 M))))))
(+.f64 (cos.f64 M) (.f64 -1/2 (.f64 K (*.f64 n (neg.f64 (sin.f64 M))))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M))))) (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (cos.f64 (neg.f64 M)) (pow.f64 K 2))))))
(+.f64 (cos.f64 M) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (neg.f64 (sin.f64 M))))) (.f64 (cos.f64 M) (.f64 (.f64 (pow.f64 n 2) (pow.f64 K 2)) -1/8))))
(+.f64 (.f64 -1/2 (.f64 K (.f64 n (neg.f64 (sin.f64 M))))) (+.f64 (cos.f64 M) (.f64 (.f64 (cos.f64 M) (pow.f64 K 2)) (.f64 (pow.f64 n 2) -1/8))))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (neg.f64 (sin.f64 M))))) (+.f64 (cos.f64 M) (.f64 (.f64 (cos.f64 M) (pow.f64 K 2)) (.f64 -1/8 (pow.f64 n 2)))))
(+.f64 (.f64 -1/2 (.f64 K (.f64 n (neg.f64 (sin.f64 M))))) (+.f64 (cos.f64 M) (.f64 (cos.f64 M) (.f64 -1/8 (.f64 (pow.f64 n 2) (pow.f64 K 2))))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (cos.f64 (neg.f64 M)) (pow.f64 K 2)))) (.f64 1/48 (.f64 (pow.f64 n 3) (*.f64 (pow.f64 K 3) (sin.f64 (neg.f64 M))))))))
(+.f64 (cos.f64 M) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (neg.f64 (sin.f64 M))))) (+.f64 (.f64 1/48 (.f64 (pow.f64 n 3) (.f64 (neg.f64 (sin.f64 M)) (pow.f64 K 3)))) (.f64 (cos.f64 M) (.f64 (*.f64 (pow.f64 n 2) (pow.f64 K 2)) -1/8)))))
(+.f64 (cos.f64 M) (+.f64 (.f64 1/48 (.f64 (neg.f64 (sin.f64 M)) (.f64 (pow.f64 K 3) (pow.f64 n 3)))) (+.f64 (.f64 -1/2 (.f64 K (.f64 n (neg.f64 (sin.f64 M))))) (.f64 (.f64 (cos.f64 M) (pow.f64 K 2)) (*.f64 (pow.f64 n 2) -1/8)))))
(+.f64 (cos.f64 M) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (neg.f64 (sin.f64 M))))) (+.f64 (.f64 1/48 (.f64 (neg.f64 (sin.f64 M)) (.f64 (pow.f64 n 3) (pow.f64 K 3)))) (.f64 (.f64 (cos.f64 M) (pow.f64 K 2)) (*.f64 -1/8 (pow.f64 n 2))))))
(+.f64 (.f64 -1/2 (.f64 K (.f64 n (neg.f64 (sin.f64 M))))) (+.f64 (.f64 1/48 (.f64 (neg.f64 (sin.f64 M)) (.f64 (pow.f64 n 3) (pow.f64 K 3)))) (+.f64 (cos.f64 M) (.f64 (cos.f64 M) (.f64 -1/8 (*.f64 (pow.f64 n 2) (pow.f64 K 2)))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 K (.f64 1/2 n)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 K (.f64 1/2 n)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 K (.f64 1/2 n)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 K (.f64 1/2 n)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 K (.f64 1/2 n)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 K (.f64 1/2 n)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 K (.f64 1/2 n)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 K (.f64 1/2 n)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (neg.f64 M))
(cos.f64 M)
(+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 n (*.f64 K (sin.f64 (neg.f64 M))))))
(+.f64 (cos.f64 M) (.f64 -1/2 (.f64 n (*.f64 K (neg.f64 (sin.f64 M))))))
(+.f64 (cos.f64 M) (.f64 -1/2 (.f64 K (*.f64 n (neg.f64 (sin.f64 M))))))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 n 2) (pow.f64 K 2)))) (+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M)))))))
(+.f64 (cos.f64 M) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (neg.f64 (sin.f64 M))))) (.f64 (cos.f64 M) (.f64 (.f64 (pow.f64 n 2) (pow.f64 K 2)) -1/8))))
(+.f64 (.f64 -1/2 (.f64 K (.f64 n (neg.f64 (sin.f64 M))))) (+.f64 (cos.f64 M) (.f64 (.f64 (cos.f64 M) (pow.f64 K 2)) (.f64 (pow.f64 n 2) -1/8))))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (neg.f64 (sin.f64 M))))) (+.f64 (cos.f64 M) (.f64 (.f64 (cos.f64 M) (pow.f64 K 2)) (.f64 -1/8 (pow.f64 n 2)))))
(+.f64 (.f64 -1/2 (.f64 K (.f64 n (neg.f64 (sin.f64 M))))) (+.f64 (cos.f64 M) (.f64 (cos.f64 M) (.f64 -1/8 (.f64 (pow.f64 n 2) (pow.f64 K 2))))))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 n 2) (pow.f64 K 2)))) (+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (neg.f64 M))))) (.f64 1/48 (.f64 (pow.f64 n 3) (*.f64 (pow.f64 K 3) (sin.f64 (neg.f64 M))))))))
(+.f64 (cos.f64 M) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (neg.f64 (sin.f64 M))))) (+.f64 (.f64 1/48 (.f64 (pow.f64 n 3) (.f64 (neg.f64 (sin.f64 M)) (pow.f64 K 3)))) (.f64 (cos.f64 M) (.f64 (*.f64 (pow.f64 n 2) (pow.f64 K 2)) -1/8)))))
(+.f64 (cos.f64 M) (+.f64 (.f64 1/48 (.f64 (neg.f64 (sin.f64 M)) (.f64 (pow.f64 K 3) (pow.f64 n 3)))) (+.f64 (.f64 -1/2 (.f64 K (.f64 n (neg.f64 (sin.f64 M))))) (.f64 (.f64 (cos.f64 M) (pow.f64 K 2)) (*.f64 (pow.f64 n 2) -1/8)))))
(+.f64 (cos.f64 M) (+.f64 (.f64 -1/2 (.f64 n (.f64 K (neg.f64 (sin.f64 M))))) (+.f64 (.f64 1/48 (.f64 (neg.f64 (sin.f64 M)) (.f64 (pow.f64 n 3) (pow.f64 K 3)))) (.f64 (.f64 (cos.f64 M) (pow.f64 K 2)) (*.f64 -1/8 (pow.f64 n 2))))))
(+.f64 (.f64 -1/2 (.f64 K (.f64 n (neg.f64 (sin.f64 M))))) (+.f64 (.f64 1/48 (.f64 (neg.f64 (sin.f64 M)) (.f64 (pow.f64 n 3) (pow.f64 K 3)))) (+.f64 (cos.f64 M) (.f64 (cos.f64 M) (.f64 -1/8 (*.f64 (pow.f64 n 2) (pow.f64 K 2)))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 K (.f64 1/2 n)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 K (.f64 1/2 n)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 K (.f64 1/2 n)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 K (.f64 1/2 n)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 K (.f64 1/2 n)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 K (.f64 1/2 n)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 K (.f64 1/2 n)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 K (.f64 1/2 n)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (.f64 1/2 (.f64 n K)))
(cos.f64 (.f64 K (.f64 1/2 n)))
(cos.f64 (.f64 n (.f64 K 1/2)))
(cos.f64 (.f64 K (.f64 n 1/2)))
(+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) M) (cos.f64 (.f64 1/2 (*.f64 n K))))
(+.f64 (cos.f64 (.f64 K (.f64 1/2 n))) (.f64 M (sin.f64 (.f64 K (*.f64 1/2 n)))))
(+.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (.f64 M (sin.f64 (.f64 n (*.f64 K 1/2)))))
(+.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (.f64 M (sin.f64 (.f64 K (*.f64 n 1/2)))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (pow.f64 M 2))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) M) (cos.f64 (.f64 1/2 (*.f64 n K)))))
(+.f64 (+.f64 (cos.f64 (.f64 K (.f64 1/2 n))) (.f64 M (sin.f64 (.f64 K (.f64 1/2 n))))) (.f64 -1/2 (.f64 (cos.f64 (.f64 K (*.f64 1/2 n))) (pow.f64 M 2))))
(+.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (pow.f64 M 2))) (.f64 M (sin.f64 (.f64 n (*.f64 K 1/2))))))
(+.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (+.f64 (.f64 M (sin.f64 (.f64 n (.f64 K 1/2)))) (.f64 -1/2 (.f64 (cos.f64 (.f64 n (*.f64 K 1/2))) (pow.f64 M 2)))))
(+.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (+.f64 (.f64 M (sin.f64 (.f64 K (.f64 n 1/2)))) (.f64 -1/2 (.f64 (cos.f64 (.f64 K (*.f64 n 1/2))) (pow.f64 M 2)))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (pow.f64 M 2))) (+.f64 (.f64 (sin.f64 (.f64 1/2 (.f64 n K))) M) (+.f64 (cos.f64 (.f64 1/2 (.f64 n K))) (.f64 -1/6 (.f64 (sin.f64 (.f64 1/2 (*.f64 n K))) (pow.f64 M 3))))))
(+.f64 (.f64 M (sin.f64 (.f64 K (.f64 1/2 n)))) (+.f64 (+.f64 (cos.f64 (.f64 K (.f64 1/2 n))) (.f64 (sin.f64 (.f64 K (.f64 1/2 n))) (.f64 (pow.f64 M 3) -1/6))) (.f64 -1/2 (.f64 (cos.f64 (.f64 K (*.f64 1/2 n))) (pow.f64 M 2)))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (pow.f64 M 2))) (+.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (+.f64 M (.f64 -1/6 (pow.f64 M 3))))))
(+.f64 (.f64 (sin.f64 (.f64 n (.f64 K 1/2))) (+.f64 M (.f64 -1/6 (pow.f64 M 3)))) (+.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (.f64 -1/2 (.f64 (cos.f64 (.f64 n (.f64 K 1/2))) (pow.f64 M 2)))))
(+.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (pow.f64 M 2))) (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (+.f64 M (.f64 -1/6 (pow.f64 M 3))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 K (.f64 1/2 n)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 K (.f64 1/2 n)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 K (.f64 1/2 n)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 K (.f64 1/2 n)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M)))
(cos.f64 (+.f64 (neg.f64 M) (.f64 K (.f64 1/2 n))))
(cos.f64 (+.f64 (neg.f64 M) (.f64 n (.f64 K 1/2))))
(cos.f64 (+.f64 (neg.f64 M) (.f64 K (.f64 n 1/2))))
(cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M)))
(cos.f64 (+.f64 (neg.f64 M) (.f64 K (.f64 1/2 n))))
(cos.f64 (+.f64 (neg.f64 M) (.f64 n (.f64 K 1/2))))
(cos.f64 (+.f64 (neg.f64 M) (.f64 K (.f64 n 1/2))))
(cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M)))
(cos.f64 (+.f64 (neg.f64 M) (.f64 K (.f64 1/2 n))))
(cos.f64 (+.f64 (neg.f64 M) (.f64 n (.f64 K 1/2))))
(cos.f64 (+.f64 (neg.f64 M) (.f64 K (.f64 n 1/2))))
(cos.f64 (+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M)))
(cos.f64 (+.f64 (neg.f64 M) (.f64 K (.f64 1/2 n))))
(cos.f64 (+.f64 (neg.f64 M) (.f64 n (.f64 K 1/2))))
(cos.f64 (+.f64 (neg.f64 M) (.f64 K (.f64 n 1/2))))
(*.f64 -1 M)
(neg.f64 M)
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(+.f64 (neg.f64 M) (.f64 K (.f64 1/2 n)))
(+.f64 (neg.f64 M) (.f64 n (.f64 K 1/2)))
(+.f64 (neg.f64 M) (.f64 K (.f64 n 1/2)))
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(+.f64 (neg.f64 M) (.f64 K (.f64 1/2 n)))
(+.f64 (neg.f64 M) (.f64 n (.f64 K 1/2)))
(+.f64 (neg.f64 M) (.f64 K (.f64 n 1/2)))
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(+.f64 (neg.f64 M) (.f64 K (.f64 1/2 n)))
(+.f64 (neg.f64 M) (.f64 n (.f64 K 1/2)))
(+.f64 (neg.f64 M) (.f64 K (.f64 n 1/2)))
(.f64 1/2 (.f64 n K))
(.f64 K (.f64 1/2 n))
(.f64 n (.f64 K 1/2))
(.f64 K (.f64 n 1/2))
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(+.f64 (neg.f64 M) (.f64 K (.f64 1/2 n)))
(+.f64 (neg.f64 M) (.f64 n (.f64 K 1/2)))
(+.f64 (neg.f64 M) (.f64 K (.f64 n 1/2)))
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(+.f64 (neg.f64 M) (.f64 K (.f64 1/2 n)))
(+.f64 (neg.f64 M) (.f64 n (.f64 K 1/2)))
(+.f64 (neg.f64 M) (.f64 K (.f64 n 1/2)))
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(+.f64 (neg.f64 M) (.f64 K (.f64 1/2 n)))
(+.f64 (neg.f64 M) (.f64 n (.f64 K 1/2)))
(+.f64 (neg.f64 M) (.f64 K (.f64 n 1/2)))
(.f64 1/2 (.f64 n K))
(.f64 K (.f64 1/2 n))
(.f64 n (.f64 K 1/2))
(.f64 K (.f64 n 1/2))
(+.f64 (.f64 1/2 (.f64 n K)) (*.f64 -1 M))
(+.f64 (neg.f64 M) (.f64 K (.f64 1/2 n)))
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(/.f64 (neg.f64 (.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) 2)) (.f64 (neg.f64 (exp.f64 l)) 2))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 1/2 n)) M)))
(/.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) (exp.f64 l))
(/.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (exp.f64 l))
(/.f64 (neg.f64 (.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) 2)) (.f64 (neg.f64 (*.f64 (exp.f64 l) 2)) 1))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 1/2 n)) M)))
(/.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) (exp.f64 l))
(/.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (exp.f64 l))
(/.f64 (neg.f64 (neg.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) (exp.f64 l))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 1/2 n)) M)))
(/.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) (exp.f64 l))
(/.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (exp.f64 l))
(/.f64 (neg.f64 (neg.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) (-.f64 0 (neg.f64 (exp.f64 l))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 1/2 n)) M)))
(/.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) (exp.f64 l))
(/.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (exp.f64 l))
(/.f64 (+.f64 (.f64 2 (/.f64 (.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) 4) (exp.f64 l))) (.f64 2 (/.f64 (.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) 4) (exp.f64 l)))) 16)
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 1/2 n)) M)))
(/.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) (exp.f64 l))
(/.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (exp.f64 l))
(/.f64 (+.f64 (.f64 2 (neg.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) (.f64 2 (neg.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))) (+.f64 (.f64 2 (neg.f64 (exp.f64 l))) (.f64 2 (neg.f64 (exp.f64 l)))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 1/2 n)) M)))
(/.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) (exp.f64 l))
(/.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (exp.f64 l))
(/.f64 (+.f64 (neg.f64 (.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) 2)) (neg.f64 (.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) 2))) (+.f64 (neg.f64 (.f64 (exp.f64 l) 2)) (neg.f64 (.f64 (exp.f64 l) 2))))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 1/2 n)) M)))
(/.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) (exp.f64 l))
(/.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (exp.f64 l))
(/.f64 (+.f64 (neg.f64 (neg.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) (neg.f64 (neg.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))) (*.f64 (exp.f64 l) 2))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 1/2 n)) M)))
(/.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) (exp.f64 l))
(/.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (exp.f64 l))
(/.f64 (/.f64 (.f64 2 (.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) 4)) (exp.f64 l)) 8)
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 1/2 n)) M)))
(/.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) (exp.f64 l))
(/.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (exp.f64 l))
(/.f64 (/.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) (neg.f64 (exp.f64 l))) -1)
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 1/2 n)) M)))
(/.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) (exp.f64 l))
(/.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (exp.f64 l))
(/.f64 (/.f64 (neg.f64 (neg.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)))) 2) (*.f64 1/2 (exp.f64 l)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 1/2 n)) M)))
(/.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) (exp.f64 l))
(/.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (exp.f64 l))
(/.f64 (neg.f64 (.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) 4)) (-.f64 0 (.f64 (exp.f64 l) 4)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 1/2 n)) M)))
(/.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) (exp.f64 l))
(/.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (exp.f64 l))
(/.f64 (neg.f64 (neg.f64 (.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) 2))) (.f64 (exp.f64 l) 2))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 1/2 n)) M)))
(/.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) (exp.f64 l))
(/.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (exp.f64 l))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))) (neg.f64 (exp.f64 l)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (.f64 K (*.f64 1/2 n)) M)))
(/.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) (exp.f64 l))
(/.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (exp.f64 l))

localize18.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (pow.f64 n 2))))

Compiler

Compiled 34 to 25 computations (26.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	M	@	inf	(.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (pow.f64 n 2))))
1.0ms	n	@	inf	(.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (pow.f64 n 2))))
0.0ms	M	@	0	(.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (pow.f64 n 2))))
0.0ms	n	@	0	(.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (pow.f64 n 2))))
0.0ms	M	@	-inf	(.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (pow.f64 n 2))))

rewrite88.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1656×	`rational.json-simplify-35`
1386×	`bool.json-1`
1386×	`bool.json-2`
1326×	`rational.json-1`
1326×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	117	27
2	300	27
3	622	27
4	1290	27
5	2825	27
6	5656	27

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (pow.f64 n 2))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 M) (exp.f64 (*.f64 -1/4 (pow.f64 n 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 M) (exp.f64 (*.f64 -1/4 (pow.f64 n 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 M) (*.f64 (exp.f64 (*.f64 -1/4 (pow.f64 n 2))) 1/2)) (*.f64 (cos.f64 M) (*.f64 (exp.f64 (*.f64 -1/4 (pow.f64 n 2))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 M) (exp.f64 (*.f64 -1/4 (pow.f64 n 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 M) (exp.f64 (*.f64 -1/4 (pow.f64 n 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 M) (exp.f64 (*.f64 -1/4 (pow.f64 n 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 (*.f64 -1/4 (pow.f64 n 2))) (*.f64 (cos.f64 M) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 M) (exp.f64 (*.f64 -1/4 (pow.f64 n 2)))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (cos.f64 M) (exp.f64 (*.f64 -1/4 (pow.f64 n 2)))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 M) (exp.f64 (*.f64 -1/4 (pow.f64 n 2)))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 M) (exp.f64 (*.f64 -1/4 (pow.f64 n 2)))) 8))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 M) (exp.f64 (*.f64 -1/4 (pow.f64 n 2)))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (cos.f64 M) (exp.f64 (*.f64 -1/4 (pow.f64 n 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (cos.f64 M) (exp.f64 (*.f64 -1/4 (pow.f64 n 2)))) (*.f64 (cos.f64 M) (exp.f64 (*.f64 -1/4 (pow.f64 n 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (cos.f64 M) (exp.f64 (*.f64 -1/4 (pow.f64 n 2)))) (*.f64 (cos.f64 M) (exp.f64 (*.f64 -1/4 (pow.f64 n 2)))))))))

simplify371.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1978×	`rational.json-simplify-35`
1386×	`rational.json-simplify-2`
1358×	`rational.json-simplify-1`
682×	`rational.json-simplify-48`
662×	`rational.json-simplify-38`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	1225
1	170	1225
2	343	1181
3	878	1139
4	1682	1139
5	2469	1139
6	3030	1139
7	3272	1139
8	3442	1139
9	3594	1139
10	3750	1139
11	4056	1139
12	4821	1139
13	5107	1139
14	5371	1139
15	5767	1139
16	6017	1139
17	6235	1139
18	6655	1139

Stop Event

1×	node limit

Counts

35 → 42

Calls

Call 1

Inputs
(exp.f64 (*.f64 -1/4 (pow.f64 n 2)))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (pow.f64 M 2))) (exp.f64 (.f64 -1/4 (pow.f64 n 2))))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (pow.f64 M 2))) (+.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (.f64 1/24 (.f64 (exp.f64 (*.f64 -1/4 (pow.f64 n 2))) (pow.f64 M 4)))))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (pow.f64 M 2))) (+.f64 (.f64 -1/720 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (pow.f64 M 6))) (+.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (.f64 1/24 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (pow.f64 M 4))))))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 M))
(cos.f64 M)
(+.f64 (.f64 -1/4 (.f64 (pow.f64 n 2) (cos.f64 M))) (cos.f64 M))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 n 2) (cos.f64 M))) (+.f64 (.f64 1/32 (.f64 (pow.f64 n 4) (cos.f64 M))) (cos.f64 M)))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 n 2) (cos.f64 M))) (+.f64 (.f64 -1/384 (.f64 (pow.f64 n 6) (cos.f64 M))) (+.f64 (.f64 1/32 (.f64 (pow.f64 n 4) (cos.f64 M))) (cos.f64 M))))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 M))
(+.f64 (.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (pow.f64 n 2)))) 0)
(+.f64 0 (.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (pow.f64 n 2)))))
(+.f64 (.f64 (cos.f64 M) (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) 1/2)) (.f64 (cos.f64 M) (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) 1/2)))
(-.f64 (.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (pow.f64 n 2)))) 0)
(/.f64 (.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (pow.f64 n 2)))) 1)
(/.f64 (.f64 2 (.f64 (cos.f64 M) (exp.f64 (*.f64 -1/4 (pow.f64 n 2))))) 2)
(/.f64 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (*.f64 (cos.f64 M) 4)) 4)
(/.f64 (.f64 (.f64 (cos.f64 M) (exp.f64 (*.f64 -1/4 (pow.f64 n 2)))) 8) 8)
(/.f64 (.f64 2 (.f64 (.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (pow.f64 n 2)))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 M) (exp.f64 (*.f64 -1/4 (pow.f64 n 2)))) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (pow.f64 n 2)))) 8))) (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (pow.f64 n 2)))) 8)))) 64)

Outputs
(exp.f64 (*.f64 -1/4 (pow.f64 n 2)))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (pow.f64 M 2))) (exp.f64 (.f64 -1/4 (pow.f64 n 2))))
(+.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (.f64 -1/2 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (pow.f64 M 2))))
(+.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (.f64 -1/2 (pow.f64 M 2))))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (pow.f64 M 2))) (+.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (.f64 1/24 (.f64 (exp.f64 (*.f64 -1/4 (pow.f64 n 2))) (pow.f64 M 4)))))
(+.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (+.f64 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (.f64 (pow.f64 M 4) 1/24)) (.f64 -1/2 (.f64 (exp.f64 (*.f64 -1/4 (pow.f64 n 2))) (pow.f64 M 2)))))
(+.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (+.f64 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (.f64 -1/2 (pow.f64 M 2))) (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (*.f64 1/24 (pow.f64 M 4)))))
(+.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (+.f64 (.f64 1/24 (pow.f64 M 4)) (*.f64 -1/2 (pow.f64 M 2)))))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (pow.f64 M 2))) (+.f64 (.f64 -1/720 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (pow.f64 M 6))) (+.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (.f64 1/24 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (pow.f64 M 4))))))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (pow.f64 M 2))) (+.f64 (+.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (.f64 (pow.f64 M 4) 1/24))) (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (.f64 (pow.f64 M 6) -1/720))))
(+.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (+.f64 (+.f64 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (.f64 1/24 (pow.f64 M 4))) (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (.f64 -1/720 (pow.f64 M 6)))) (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (.f64 -1/2 (pow.f64 M 2)))))
(+.f64 (+.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (.f64 1/24 (pow.f64 M 4)))) (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (+.f64 (.f64 -1/2 (pow.f64 M 2)) (.f64 -1/720 (pow.f64 M 6)))))
(+.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (+.f64 (.f64 -1/2 (pow.f64 M 2)) (+.f64 (.f64 -1/720 (pow.f64 M 6)) (.f64 1/24 (pow.f64 M 4))))))
(+.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (+.f64 (.f64 -1/720 (pow.f64 M 6)) (+.f64 (.f64 1/24 (pow.f64 M 4)) (.f64 -1/2 (pow.f64 M 2))))))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 M))
(cos.f64 M)
(+.f64 (.f64 -1/4 (.f64 (pow.f64 n 2) (cos.f64 M))) (cos.f64 M))
(+.f64 (cos.f64 M) (.f64 -1/4 (.f64 (pow.f64 n 2) (cos.f64 M))))
(+.f64 (cos.f64 M) (.f64 (pow.f64 n 2) (.f64 -1/4 (cos.f64 M))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 n 2) (cos.f64 M))) (+.f64 (.f64 1/32 (.f64 (pow.f64 n 4) (cos.f64 M))) (cos.f64 M)))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 n 2) (cos.f64 M))) (+.f64 (cos.f64 M) (.f64 1/32 (.f64 (cos.f64 M) (pow.f64 n 4)))))
(+.f64 (cos.f64 M) (+.f64 (.f64 (cos.f64 M) (.f64 (pow.f64 n 4) 1/32)) (.f64 (pow.f64 n 2) (.f64 -1/4 (cos.f64 M)))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 n 2) (cos.f64 M))) (+.f64 (cos.f64 M) (.f64 (cos.f64 M) (.f64 1/32 (pow.f64 n 4)))))
(+.f64 (cos.f64 M) (.f64 (cos.f64 M) (+.f64 (.f64 1/32 (pow.f64 n 4)) (*.f64 -1/4 (pow.f64 n 2)))))
(+.f64 (cos.f64 M) (.f64 (cos.f64 M) (+.f64 (.f64 -1/4 (pow.f64 n 2)) (*.f64 1/32 (pow.f64 n 4)))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 n 2) (cos.f64 M))) (+.f64 (.f64 -1/384 (.f64 (pow.f64 n 6) (cos.f64 M))) (+.f64 (.f64 1/32 (.f64 (pow.f64 n 4) (cos.f64 M))) (cos.f64 M))))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 n 2) (cos.f64 M))) (+.f64 (+.f64 (cos.f64 M) (.f64 1/32 (.f64 (cos.f64 M) (pow.f64 n 4)))) (.f64 -1/384 (.f64 (cos.f64 M) (pow.f64 n 6)))))
(+.f64 (+.f64 (cos.f64 M) (.f64 (cos.f64 M) (.f64 (pow.f64 n 4) 1/32))) (+.f64 (.f64 (cos.f64 M) (.f64 (pow.f64 n 6) -1/384)) (.f64 (pow.f64 n 2) (.f64 -1/4 (cos.f64 M)))))
(+.f64 (cos.f64 M) (+.f64 (+.f64 (.f64 (cos.f64 M) (.f64 1/32 (pow.f64 n 4))) (.f64 (cos.f64 M) (.f64 -1/384 (pow.f64 n 6)))) (.f64 -1/4 (.f64 (pow.f64 n 2) (cos.f64 M)))))
(+.f64 (.f64 (cos.f64 M) (.f64 1/32 (pow.f64 n 4))) (+.f64 (cos.f64 M) (.f64 (cos.f64 M) (+.f64 (.f64 -1/384 (pow.f64 n 6)) (*.f64 -1/4 (pow.f64 n 2))))))
(+.f64 (+.f64 (cos.f64 M) (.f64 -1/4 (.f64 (pow.f64 n 2) (cos.f64 M)))) (.f64 (cos.f64 M) (+.f64 (.f64 -1/384 (pow.f64 n 6)) (*.f64 1/32 (pow.f64 n 4)))))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 M))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 M))
(+.f64 (.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (pow.f64 n 2)))) 0)
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 M))
(+.f64 0 (.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (pow.f64 n 2)))))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 M))
(+.f64 (.f64 (cos.f64 M) (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) 1/2)) (.f64 (cos.f64 M) (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) 1/2)))
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 M))
(-.f64 (.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (pow.f64 n 2)))) 0)
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 M))
(/.f64 (.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (pow.f64 n 2)))) 1)
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 M))
(/.f64 (.f64 2 (.f64 (cos.f64 M) (exp.f64 (*.f64 -1/4 (pow.f64 n 2))))) 2)
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 M))
(/.f64 (.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (*.f64 (cos.f64 M) 4)) 4)
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 M))
(/.f64 (.f64 (.f64 (cos.f64 M) (exp.f64 (*.f64 -1/4 (pow.f64 n 2)))) 8) 8)
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 M))
(/.f64 (.f64 2 (.f64 (.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (pow.f64 n 2)))) 8)) 16)
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 M))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 M) (exp.f64 (*.f64 -1/4 (pow.f64 n 2)))) 8))) 32)
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 M))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (pow.f64 n 2)))) 8))) (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (pow.f64 n 2)))) 8)))) 64)
(.f64 (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (cos.f64 M))

eval403.0ms (1.6%)

Compiler: Compiled 22592 to 13543 computations (40.1% saved)

prune273.0ms (1.1%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	712	11	723
Fresh	5	4	9
Picked	1	0	1
Done	4	2	6
Total	722	17	739

Error

1.4b

Counts

739 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	27.4b	(/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2)))
	47.1b	(/.f64 1 (/.f64 (exp.f64 l) (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))))
	62.0b	(+.f64 (.f64 (.f64 (+.f64 n m) (.f64 (sin.f64 (neg.f64 M)) (+.f64 -1 l))) (.f64 K 1/2)) (.f64 (cos.f64 M) (+.f64 (.f64 1/8 (.f64 (pow.f64 K 2) (.f64 (pow.f64 (+.f64 n m) 2) (+.f64 -1 l)))) (-.f64 1 l))))
	61.1b	(+.f64 1 (*.f64 (pow.f64 M 2) -3/2))
	61.4b	(.f64 (neg.f64 (+.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 l -1))
	45.5b	(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 n (*.f64 K 1/2))))
	62.3b	(.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (/.f64 K 2)) M)) (neg.f64 l))
	61.0b	(.f64 (cos.f64 (-.f64 (.f64 K (*.f64 m 1/2)) M)) (-.f64 1 l))
	60.8b	(.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K n)) M)) (-.f64 1 l))
	61.0b	(.f64 (cos.f64 (.f64 (+.f64 n m) (/.f64 K 2))) (-.f64 1 l))
	60.6b	(*.f64 (cos.f64 M) (-.f64 1 l))
✓	28.4b	(.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (pow.f64 m 2))))
✓	43.1b	(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
	42.4b	(.f64 -1/2 (.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 (pow.f64 n 2) 1/4)))) (neg.f64 (.f64 K (*.f64 M n)))))
	29.8b	(exp.f64 (*.f64 -1/4 (pow.f64 n 2)))
	60.8b	(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))
	60.3b	(cos.f64 M)

Compiler

Compiled 300 to 231 computations (23% saved)

regimes240.0ms (1%)

Counts

36 → 1

Calls

Call 1

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

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

Calls

6 calls:

103.0ms	K
64.0ms	n
18.0ms	m
17.0ms	M
17.0ms	l

Results

Error	Segments	Branch
1.5b	1	`K`
1.5b	1	`m`
1.5b	1	`n`
1.5b	1	`M`
1.5b	1	`l`
1.5b	1	`(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))`

Compiler

Compiled 703 to 400 computations (43.1% saved)

regimes296.0ms (1.2%)

Counts

25 → 3

Calls

Call 1

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

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

Calls

5 calls:

86.0ms	K
63.0ms	M
55.0ms	l
46.0ms	m
37.0ms	n

Results

Error	Segments	Branch
22.3b	6	`K`
5.9b	3	`m`
7.8b	3	`n`
8.5b	5	`M`
14.1b	5	`l`

Compiler

Compiled 325 to 200 computations (38.5% saved)

bsearch52.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	2.439126960600784e-300	5.53848910066486e-298
28.0ms	-57445719.868305415	-161037.19299850336

Results

44.0ms	237×	body	256	valid
2.0ms	3×	body	1024	infinite
2.0ms	3×	body	1024	valid
1.0ms	4×	body	256	infinite
0.0ms	1×	body	512	infinite

Compiler

Compiled 462 to 390 computations (15.6% saved)

regimes245.0ms (1%)

Counts

22 → 3

Calls

Call 1

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

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

Calls

5 calls:

68.0ms	K
49.0ms	l
49.0ms	M
39.0ms	m
33.0ms	n

Results

Error	Segments	Branch
22.3b	6	`K`
5.9b	3	`m`
7.8b	3	`n`
8.8b	5	`M`
14.1b	5	`l`

Compiler

Compiled 267 to 165 computations (38.2% saved)

bsearch47.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	2.439126960600784e-300	5.53848910066486e-298
30.0ms	-57445719.868305415	-161037.19299850336

Results

38.0ms	191×	body	256	valid
1.0ms	1×	body	1024	infinite
1.0ms	1×	body	1024	valid
1.0ms	3×	body	256	infinite
0.0ms	1×	body	512	infinite

Compiler

Compiled 366 to 310 computations (15.3% saved)

regimes168.0ms (0.7%)

Counts

21 → 5

Calls

Call 1

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

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

Calls

5 calls:

45.0ms	l
45.0ms	M
35.0ms	m
27.0ms	n
10.0ms	K

Results

Error	Segments	Branch
27.4b	1	`K`
19.2b	3	`m`
12.2b	3	`n`
10.7b	5	`M`
15.1b	5	`l`

Compiler

Compiled 258 to 159 computations (38.4% saved)

bsearch93.0ms (0.4%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
8.0ms	1.787222498846592e-8	2.0946578850270698e-8
30.0ms	-2.553514927489421e-219	-1.1121033362871962e-226
32.0ms	-2.6394963990006733e-159	-3.369256471334036e-163
24.0ms	-356.1845365356709	-13.789576360884627

Results

74.0ms	405×	body	256	valid
4.0ms	18×	body	256	infinite
4.0ms	6×	body	1024	valid
2.0ms	5×	body	512	valid
1.0ms	2×	body	2048	infinite
1.0ms	1×	body	1024	infinite

Compiler

Compiled 675 to 585 computations (13.3% saved)

regimes226.0ms (0.9%)

Counts

19 → 2

Calls

Call 1

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

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

Calls

5 calls:

102.0ms	n
72.0ms	l
27.0ms	M
9.0ms	K
9.0ms	m

Results

Error	Segments	Branch
29.8b	1	`K`
29.8b	1	`m`
21.2b	3	`n`
28.4b	3	`M`
21.1b	2	`l`

Compiler

Compiled 243 to 150 computations (38.3% saved)

bsearch30.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
30.0ms	3.6641011891093686e-21	2.864238883547226e-15

Results

27.0ms	142×	body	256	valid
1.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 258 to 219 computations (15.1% saved)

regimes36.0ms (0.1%)

Counts

11 → 1

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 -1/4 (pow.f64 n 2)))

Calls

5 calls:

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

Results

Error	Segments	Branch
29.8b	1	`K`
29.8b	1	`m`
29.8b	1	`n`
29.8b	1	`M`
29.8b	1	`l`

Compiler

Compiled 134 to 92 computations (31.3% saved)

regimes36.0ms (0.1%)

Accuracy

Total -2.9b remaining (-4.8%)

Threshold costs -2.9b (-4.8%)

Counts

10 → 1

Calls

Call 1

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

Outputs
(cos.f64 M)

Calls

5 calls:

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

Results

Error	Segments	Branch
60.3b	1	`K`
60.3b	1	`m`
60.3b	1	`n`
60.3b	1	`M`
60.3b	1	`l`

Compiler

Compiled 128 to 87 computations (32% saved)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	435

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(if (<=.f64 m -165000) (.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (pow.f64 m 2)))) (if (<=.f64 m 4524042903795331/754007150632555106105265567894716959631281531468563222724576883120202793061715911671371697267283217963528178126800104645601692562497382897388239949720868877774169386463487004356335504882384897549598543638261948036260930759551721433617559655193833844143189700366403049053003693428749228016236154394768201795621617664) (/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2))) (.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (pow.f64 n 2))))))
(if (<=.f64 m -165000) (.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (pow.f64 m 2)))) (if (<=.f64 m 7540071506325551/377003575316277553052632783947358479815640765734281611362288441560101396530857955835685848633641608981764089063400052322800846281248691448694119974860434438887084693231743502178167752441192448774799271819130974018130465379775860716808779827596916922071594850183201524526501846714374614008118077197384100897810808832) (/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2))) (exp.f64 (*.f64 -1/4 (pow.f64 n 2)))))
(if (<=.f64 M -53/2) (/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2))) (if (<=.f64 M -5673165816829483/16209045190941378744189093217543598246142368094697019140608036444104112544581672446873855659949624196438272994575393707743731058888327247296433104820757670652582741419537146576896) (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (if (<=.f64 M -3974446316289815/1589778526515925949592554996185602616583051281527497329806389286938676175550849931602819490640533993421299436233862218963119697965173569936838950169642169486545361895445350303283471652486756807501069311174365664000914275178307643244544) (.f64 (cos.f64 M) (exp.f64 (neg.f64 l))) (if (<=.f64 M 6195744825524975/302231454903657293676544) (exp.f64 (*.f64 -1/4 (pow.f64 n 2))) (/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2)))))))
(if (<=.f64 l 7098843361278085/2535301200456458802993406410752) (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (.f64 (cos.f64 M) (exp.f64 (neg.f64 l))))
(exp.f64 (*.f64 -1/4 (pow.f64 n 2)))
(cos.f64 M)

Outputs
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(if (<=.f64 m -165000) (.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (pow.f64 m 2)))) (if (<=.f64 m 4524042903795331/754007150632555106105265567894716959631281531468563222724576883120202793061715911671371697267283217963528178126800104645601692562497382897388239949720868877774169386463487004356335504882384897549598543638261948036260930759551721433617559655193833844143189700366403049053003693428749228016236154394768201795621617664) (/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2))) (.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (pow.f64 n 2))))))
(if (<=.f64 m -165000) (.f64 (cos.f64 M) (exp.f64 (.f64 -1/4 (pow.f64 m 2)))) (if (<=.f64 m 7540071506325551/377003575316277553052632783947358479815640765734281611362288441560101396530857955835685848633641608981764089063400052322800846281248691448694119974860434438887084693231743502178167752441192448774799271819130974018130465379775860716808779827596916922071594850183201524526501846714374614008118077197384100897810808832) (/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2))) (exp.f64 (*.f64 -1/4 (pow.f64 n 2)))))
(if (<=.f64 M -53/2) (/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2))) (if (<=.f64 M -5673165816829483/16209045190941378744189093217543598246142368094697019140608036444104112544581672446873855659949624196438272994575393707743731058888327247296433104820757670652582741419537146576896) (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (if (<=.f64 M -3974446316289815/1589778526515925949592554996185602616583051281527497329806389286938676175550849931602819490640533993421299436233862218963119697965173569936838950169642169486545361895445350303283471652486756807501069311174365664000914275178307643244544) (.f64 (cos.f64 M) (exp.f64 (neg.f64 l))) (if (<=.f64 M 6195744825524975/302231454903657293676544) (exp.f64 (*.f64 -1/4 (pow.f64 n 2))) (/.f64 (cos.f64 M) (exp.f64 (pow.f64 M 2)))))))
(if (<=.f64 l 7098843361278085/2535301200456458802993406410752) (exp.f64 (.f64 -1/4 (pow.f64 n 2))) (.f64 (cos.f64 M) (exp.f64 (neg.f64 l))))
(exp.f64 (*.f64 -1/4 (pow.f64 n 2)))
(cos.f64 M)

Compiler

Compiled 190 to 145 computations (23.7% saved)

soundness288.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

2086×	`rational.json-simplify-35`
1756×	`rational.json-simplify-35`
1624×	`rational.json-simplify-51`
1478×	`rational.json-simplify-48`
1426×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	89
1	53	89
2	101	89
3	233	85
4	1288	85
5	4390	85
0	285	8128
1	637	7892
2	1388	7864
3	2490	7822
4	4483	7822
5	5456	7822
6	7189	7822
7	7922	7822

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 475 to 246 computations (48.2% saved)

end116.0ms (0.5%)

Remove: (sort m n)
Compiler: Compiled 210 to 143 computations (31.9% saved)