Details

analyze879.0ms (5.7%)

Algorithm

1×

Search

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

Compiler

Compiled 35 to 24 computations (31.4% saved)

sample2.1s (13.6%)

Results

1.8s	8135×	body	256	valid
84.0ms	402×	body	256	infinite
59.0ms	107×	body	1024	infinite
41.0ms	67×	body	1024	valid
33.0ms	84×	body	512	infinite
25.0ms	53×	body	512	valid
15.0ms	20×	body	2048	infinite
2.0ms	1×	body	2048	valid

Bogosity

preprocess62.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

988×	`rational.json-simplify-72`
804×	`rational.json-simplify-29`
754×	`rational.json-simplify-63`
688×	`rational.json-simplify-44`
628×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	156	979
1	468	979
2	1260	979
3	4423	935
4	7484	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)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 m (+.f64 K n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 K n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 K n))))))
(.f64 (cos.f64 (-.f64 (.f64 (+.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 (-.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 (-.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 (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 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) K) 2) (neg.f64 l)))))
(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 M 2)) K)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) K) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 l (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 K (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (.f64 (+.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)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 M n)) 2) m)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 M n) 2) m) 2)) (-.f64 l (fabs.f64 (-.f64 M n))))))
(.f64 (cos.f64 (-.f64 (.f64 (+.f64 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 (-.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 (-.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 (.f64 K (/.f64 (+.f64 m l) 2)) M)) (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 (fabs.f64 (-.f64 m n)) (-.f64 M (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) l) 2))))))
(.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)

simplify47.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1400×	`rational.json-simplify-63`
912×	`rational.json-simplify-69`
906×	`rational.json-simplify-24`
634×	`rational.json-simplify-72`
628×	`rational.json-simplify-28`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	89
1	66	89
2	163	89
3	538	85
4	2537	85
5	5975	85

Stop Event

1×	node limit

Counts

1 → 6

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

eval2.0ms (0%)

Compiler: Compiled 176 to 92 computations (47.7% saved)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	5	1	6
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	6	1	7

Error

14.3b

Counts

7 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.3b	(.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)

localize48.0ms (0.3%)

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)
✓	32.0b	(cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 m n) 2)) M))

Compiler

Compiled 135 to 58 computations (57% saved)

series11.0ms (0.1%)

Counts

4 → 168

Calls

42 calls:

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

rewrite85.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

858×	`rational.json-1`
858×	`rational.json-2`
858×	`rational.json-4`
858×	`rational.json-3`
808×	`rational.json-simplify-21`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	98
1	97	98
2	341	98
3	1885	98

Stop Event

1×	node limit

Counts

4 → 291

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
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((#(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 K (.f64 (+.f64 m n) 1/2)) (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) (+.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) (-.f64 (-.f64 K K) M))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) (-.f64 (.f64 (+.f64 m n) 0) M))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) (.f64 1/2 (-.f64 (-.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 +.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M) (.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))))) 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (+.f64 M (.f64 K (.f64 (+.f64 m n) -1/2))) (+.f64 M (.f64 K (.f64 (+.f64 m n) -1/2)))) (+.f64 M (.f64 K (.f64 (+.f64 m n) -1/2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 M (.f64 K (.f64 (+.f64 m n) -1/2))))))))

simplify205.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

858×	`rational.json-simplify-2`
744×	`rational.json-simplify-27`
696×	`rational.json-simplify-28`
658×	`rational.json-simplify-13`
632×	`rational.json-simplify-5`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	731	14797
1	2580	14309

Stop Event

1×	node limit

Counts

459 → 497

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

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

eval252.0ms (1.6%)

Compiler: Compiled 18360 to 9071 computations (50.6% saved)

prune136.0ms (0.9%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	481	16	497
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	482	16	498

Error

2.1b

Counts

498 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	14.5b	(.f64 (+.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (.f64 K m)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
▶	14.2b	(*.f64 (cos.f64 (-.f64 (/.f64 (-.f64 (+.f64 K (+.f64 K K)) (+.f64 (+.f64 K K) (+.f64 K K))) (/.f64 -2 (+.f64 m n))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	14.2b	(.f64 (cos.f64 (-.f64 (/.f64 (-.f64 (.f64 2 (+.f64 n m)) (+.f64 (+.f64 n m) (*.f64 1/2 (+.f64 n m)))) (/.f64 1 K)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	14.2b	(*.f64 (cos.f64 (-.f64 (/.f64 (-.f64 K (+.f64 K (+.f64 K K))) (neg.f64 (/.f64 4 (+.f64 m n)))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	14.3b	(.f64 (cos.f64 (-.f64 (/.f64 (+.f64 (+.f64 n m) (.f64 (+.f64 n m) -3/2)) (/.f64 -1 K)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
▶	14.2b	(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	14.2b	(*.f64 (cos.f64 (-.f64 (/.f64 1/2 (/.f64 (/.f64 1 K) (+.f64 m n))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
▶	14.3b	(.f64 (cos.f64 (-.f64 (-.f64 (/.f64 (+.f64 m (+.f64 n n)) (/.f64 2 K)) (.f64 K (*.f64 n 1/2))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	14.2b	(.f64 (cos.f64 (-.f64 (-.f64 (.f64 K (*.f64 (+.f64 m n) 2)) (/.f64 (+.f64 K (+.f64 K K)) (/.f64 2 (+.f64 m n)))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	14.1b	(.f64 (cos.f64 (-.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) -1/2)) (/.f64 (.f64 (+.f64 m n) 2) (/.f64 -2 K))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
▶	32.4b	(.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))))
	34.6b	(.f64 (cos.f64 (-.f64 (.f64 K (/.f64 (+.f64 m n) 2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (*.f64 (pow.f64 m 2) 1/4))))
	8.0b	(.f64 (cos.f64 (-.f64 (.f64 K (*.f64 n 1/2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	11.1b	(.f64 (cos.f64 (-.f64 (.f64 K (*.f64 m 1/2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	14.1b	(.f64 (cos.f64 (+.f64 M (-.f64 (.f64 (+.f64 (+.f64 n m) (.f64 1/2 (+.f64 n m))) K) (+.f64 M (+.f64 M (.f64 (*.f64 K 1/4) (/.f64 (+.f64 n m) 1/4))))))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
▶	2.7b	(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))

Compiler

Compiled 1214 to 808 computations (33.4% saved)

localize34.0ms (0.2%)

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 106 to 43 computations (59.4% 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	n	@	0	(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))

rewrite62.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

980×	`rational.json-1`
980×	`rational.json-2`
980×	`rational.json-4`
980×	`rational.json-3`
768×	`rational.json-simplify-23`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	47
1	107	47
2	367	47
3	1919	47

Stop Event

1×	node limit

Counts

1 → 102

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

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simplify162.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

642×	`rational.json-simplify-13`
612×	`rational.json-simplify-63`
602×	`rational.json-simplify-3`
570×	`rational.json-simplify-12`
550×	`rational.json-simplify-14`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	314	10208
1	1171	9744
2	6183	9552

Stop Event

1×	node limit

Counts

150 → 208

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))
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(.f64 -1 (-.f64 (-.f64 (.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) 2) (.f64 2 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)))) (+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2) l))))
(.f64 -1 (-.f64 (neg.f64 (.f64 2 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)))) (+.f64 l (-.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) (fabs.f64 (-.f64 m n))))))
(.f64 -1 (-.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (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)) l)) (+.f64 l (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)))))
(.f64 -1 (-.f64 (-.f64 (.f64 (.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) 2) 2) (.f64 2 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)))) (+.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) (*.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) 3))))
(.f64 -1 (-.f64 (+.f64 (+.f64 (fabs.f64 (-.f64 m n)) l) (-.f64 (.f64 (fabs.f64 (-.f64 m n)) 2) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2))) (.f64 (-.f64 (.f64 (fabs.f64 (-.f64 m n)) 2) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) 2)))
(.f64 -1 (-.f64 (.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) 3) (.f64 (.f64 2 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2))) 2)))
(.f64 -1 (-.f64 (+.f64 (.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) 2) (+.f64 l (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)))) (+.f64 (.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) 2) (.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) 2))))
(.f64 -1 (-.f64 (+.f64 (.f64 (.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) 2) 2) (+.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) (.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) 3))) (+.f64 (.f64 (.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) 2) 2) (.f64 (*.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) 2) 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 (+.f64 l (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2) (fabs.f64 (-.f64 m n)))) 2) -1/2)
(.f64 -1/2 (neg.f64 (.f64 2 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)))))
(.f64 -1/2 (.f64 (+.f64 l (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2) (fabs.f64 (-.f64 m n)))) 2))
(.f64 -1/2 (-.f64 (+.f64 l (-.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) (fabs.f64 (-.f64 m n)))) (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2))))
(.f64 -1/2 (-.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) (+.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)))))
(.f64 -1/2 (-.f64 l (+.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)))))
(.f64 -1/2 (-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) l)) (+.f64 (-.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) 2))))
(.f64 -1/2 (-.f64 (+.f64 (fabs.f64 (-.f64 m n)) l) (+.f64 (-.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)) 2) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)))))
(.f64 -1/2 (-.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (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)) 3)))
(.f64 -1/2 (-.f64 (+.f64 l (-.f64 (fabs.f64 (-.f64 m n)) (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)) (.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)) 2))))
(.f64 -1/2 (-.f64 (+.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) (.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) 3)) (+.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) (.f64 (.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) 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 1 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2))))
(/.f64 1/2 (/.f64 1 (.f64 2 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)))))
(/.f64 1/2 (/.f64 -1 (.f64 (+.f64 l (-.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) (fabs.f64 (-.f64 m n)))) 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 (-.f64 (fabs.f64 (-.f64 m n)) l) (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 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) (.f64 2 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)))) l) -1)
(/.f64 (-.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 2 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)))) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)) -1)
(/.f64 (-.f64 (.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 (+.f64 m n) 1/2) M) 2))) -1)
(/.f64 (-.f64 (-.f64 (-.f64 (.f64 (fabs.f64 (-.f64 m n)) 2) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) (.f64 2 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)))) (+.f64 (fabs.f64 (-.f64 m n)) l)) -1)
(/.f64 (-.f64 (-.f64 (.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) 2) (.f64 2 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)))) (+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) l))) -1)
(/.f64 (-.f64 (neg.f64 (.f64 2 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)))) (+.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)) (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)) l)) (+.f64 l (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)))) -1)
(/.f64 (-.f64 (-.f64 (.f64 (.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) 2) 2) (.f64 2 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)))) (+.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) (.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) 3))) -1)
(/.f64 (-.f64 (+.f64 (+.f64 (fabs.f64 (-.f64 m n)) l) (-.f64 (.f64 (fabs.f64 (-.f64 m n)) 2) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2))) (.f64 (-.f64 (.f64 (fabs.f64 (-.f64 m n)) 2) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)) 2)) -1)
(/.f64 (-.f64 (.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) 3) (.f64 (.f64 2 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2))) 2)) -1)
(/.f64 (-.f64 (+.f64 (.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) 2) (+.f64 l (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)))) (+.f64 (.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) 2) (.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)) 2))) -1)
(/.f64 (-.f64 (+.f64 (.f64 (.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) 2) 2) (+.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) (.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) 3))) (+.f64 (.f64 (.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) 2) 2) (.f64 (.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) 2) 2))) -1)
(/.f64 (-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) l)) (.f64 2 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2))) 1)
(/.f64 (-.f64 (+.f64 l (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2))) (+.f64 l l)) 1)
(/.f64 (-.f64 (+.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) (.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) 3)) (.f64 (+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) l)) 2)) 1)
(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 (.f64 m (-.f64 M (.f64 n 1/2))) (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n 1/2) M) 2))))
(+.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 -1/4 (pow.f64 m 2)) (+.f64 (.f64 m (-.f64 M (.f64 n 1/2))) (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2)))))
(+.f64 (.f64 m (-.f64 M (.f64 n 1/2))) (+.f64 (.f64 -1/4 (pow.f64 m 2)) (-.f64 (fabs.f64 (-.f64 m n)) (+.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 -1/4 (pow.f64 m 2)) (+.f64 (.f64 m (-.f64 M (.f64 n 1/2))) (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2)))))
(+.f64 (.f64 m (-.f64 M (.f64 n 1/2))) (+.f64 (.f64 -1/4 (pow.f64 m 2)) (-.f64 (fabs.f64 (-.f64 m n)) (+.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 -1/4 (pow.f64 m 2)) (+.f64 (.f64 m (-.f64 M (.f64 n 1/2))) (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2)))))
(+.f64 (.f64 m (-.f64 M (.f64 n 1/2))) (+.f64 (.f64 -1/4 (pow.f64 m 2)) (-.f64 (fabs.f64 (-.f64 m n)) (+.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 -1/4 (pow.f64 m 2)) (+.f64 (.f64 m (-.f64 M (.f64 n 1/2))) (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2)))))
(+.f64 (.f64 m (-.f64 M (.f64 n 1/2))) (+.f64 (.f64 -1/4 (pow.f64 m 2)) (-.f64 (fabs.f64 (-.f64 m n)) (+.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 m (-.f64 M (.f64 n 1/2))) (*.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 (.f64 n 1/2) M) (.f64 m -1)) (-.f64 (+.f64 (.f64 -1/4 (pow.f64 m 2)) (fabs.f64 (neg.f64 (+.f64 n (.f64 m -1))))) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2))))
(+.f64 (.f64 m (-.f64 M (.f64 n 1/2))) (+.f64 (fabs.f64 (neg.f64 (+.f64 n (neg.f64 m)))) (-.f64 (.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 (.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 (.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 (.f64 n 1/2) M) (.f64 m -1)) (-.f64 (+.f64 (.f64 -1/4 (pow.f64 m 2)) (fabs.f64 (neg.f64 (+.f64 n (.f64 m -1))))) (+.f64 l (pow.f64 (-.f64 (.f64 n 1/2) M) 2))))
(+.f64 (.f64 m (-.f64 M (.f64 n 1/2))) (+.f64 (fabs.f64 (neg.f64 (+.f64 n (neg.f64 m)))) (-.f64 (.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 (.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 (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 (+.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 (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 (.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 (.f64 n (-.f64 M (.f64 m 1/2))) (.f64 -1/4 (pow.f64 n 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 (.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 (.f64 n (-.f64 M (.f64 m 1/2))) (.f64 -1/4 (pow.f64 n 2)))) (+.f64 l (pow.f64 (-.f64 (.f64 m 1/2) M) 2)))
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(/.f64 (-.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) (.f64 2 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)))) l) -1)
(+.f64 (neg.f64 l) (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)))
(/.f64 (-.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 2 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)))) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)) -1)
(+.f64 (neg.f64 l) (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 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)) 0) (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2))) -1)
(+.f64 (neg.f64 l) (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)))
(/.f64 (-.f64 (-.f64 (-.f64 (.f64 (fabs.f64 (-.f64 m n)) 2) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) (.f64 2 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)))) (+.f64 (fabs.f64 (-.f64 m n)) l)) -1)
(.f64 1 (-.f64 (+.f64 (fabs.f64 (-.f64 m n)) l) (-.f64 (-.f64 (.f64 (fabs.f64 (-.f64 m n)) 2) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)) (.f64 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)) l) (-.f64 (.f64 2 (-.f64 (fabs.f64 (-.f64 m n)) (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) l) (-.f64 (.f64 2 (-.f64 (fabs.f64 (-.f64 m n)) (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))))) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)))
(/.f64 (-.f64 (-.f64 (.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) 2) (.f64 2 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)))) (+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) l))) -1)
(.f64 -1 (-.f64 (.f64 2 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2) (-.f64 (fabs.f64 (-.f64 m n)) l))))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (-.f64 (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2) l) (.f64 2 (-.f64 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2) (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (-.f64 (fabs.f64 (-.f64 m n)) l))))))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (-.f64 (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2) l) (-.f64 (.f64 2 (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)) (.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) 0))))
(/.f64 (-.f64 (neg.f64 (.f64 2 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)))) (+.f64 l (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2) (fabs.f64 (-.f64 m n))))) -1)
(+.f64 (neg.f64 l) (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)))
(/.f64 (-.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (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)) l)) (+.f64 l (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)))) -1)
(+.f64 (neg.f64 l) (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)))
(/.f64 (-.f64 (-.f64 (.f64 (.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) 2) 2) (.f64 2 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)))) (+.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) (.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) 3))) -1)
(.f64 1 (-.f64 (+.f64 (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2) (.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) 3)) (.f64 2 (-.f64 (.f64 2 (-.f64 (fabs.f64 (-.f64 m n)) l)) (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))))))
(-.f64 (+.f64 (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2) (.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) 3)) (-.f64 (.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) 4) (.f64 2 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)))))
(-.f64 (+.f64 (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2) (.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) 3)) (-.f64 (.f64 2 (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)) (*.f64 2 (-.f64 l (fabs.f64 (-.f64 m n))))))
(/.f64 (-.f64 (+.f64 (+.f64 (fabs.f64 (-.f64 m n)) l) (-.f64 (.f64 (fabs.f64 (-.f64 m n)) 2) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2))) (.f64 (-.f64 (.f64 (fabs.f64 (-.f64 m n)) 2) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)) 2)) -1)
(.f64 -1 (+.f64 (+.f64 (fabs.f64 (-.f64 m n)) l) (-.f64 (-.f64 (.f64 (fabs.f64 (-.f64 m n)) 2) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)) (.f64 2 (-.f64 (.f64 (fabs.f64 (-.f64 m n)) 2) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))))))
(-.f64 (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2) (-.f64 (+.f64 (+.f64 (fabs.f64 (-.f64 m n)) l) (.f64 (fabs.f64 (-.f64 m n)) 2)) (.f64 2 (-.f64 (.f64 (fabs.f64 (-.f64 m n)) 2) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)))))
(neg.f64 (+.f64 (+.f64 (fabs.f64 (-.f64 m n)) l) (-.f64 (.f64 2 (-.f64 (fabs.f64 (-.f64 m n)) (-.f64 (.f64 (fabs.f64 (-.f64 m n)) 2) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)))) (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)) 3) (.f64 (.f64 2 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2))) 2)) -1)
(+.f64 (neg.f64 l) (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)))
(/.f64 (-.f64 (+.f64 (.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) 2) (+.f64 l (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)))) (+.f64 (.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2)) 2) (.f64 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2)) 2))) -1)
(+.f64 (.f64 2 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (neg.f64 (+.f64 l (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)))))
(+.f64 (.f64 2 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (neg.f64 (+.f64 (fabs.f64 (-.f64 m n)) (-.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)))))
(+.f64 (.f64 2 (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))) (-.f64 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2) (+.f64 (fabs.f64 (-.f64 m n)) l)))
(/.f64 (-.f64 (+.f64 (.f64 (.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) 2) 2) (+.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) (.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) 3))) (+.f64 (.f64 (.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) 2) 2) (.f64 (.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) 2) 2))) -1)
(+.f64 (.f64 2 (.f64 2 (-.f64 (fabs.f64 (-.f64 m n)) l))) (neg.f64 (+.f64 (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2) (.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) 3))))
(+.f64 (.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) 4) (neg.f64 (+.f64 (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2) (*.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) 3))))
(-.f64 (.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) 4) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2) (*.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) 3)))
(/.f64 (-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) l)) (.f64 2 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2))) 1)
(.f64 -1 (-.f64 (.f64 2 (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2)) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2) (-.f64 (fabs.f64 (-.f64 m n)) l))))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (-.f64 (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2) l) (.f64 2 (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2))))
(/.f64 (-.f64 (+.f64 l (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2))) (+.f64 l l)) 1)
(+.f64 (neg.f64 l) (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)))
(/.f64 (-.f64 (+.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) (.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) 3)) (.f64 (+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) l)) 2)) 1)
(.f64 -1 (-.f64 (.f64 2 (+.f64 (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2) (-.f64 (fabs.f64 (-.f64 m n)) l))) (+.f64 (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2) (*.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) 3))))
(+.f64 (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2) (-.f64 (.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) 3) (.f64 2 (+.f64 (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2) (-.f64 (fabs.f64 (-.f64 m n)) l)))))
(neg.f64 (+.f64 l (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2) (fabs.f64 (-.f64 m n)))))
(+.f64 (neg.f64 l) (-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2)))

localize41.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (*.f64 K (/.f64 (+.f64 m n) 2)) M)
✓	0.0b	(pow.f64 M 2)
	0.0b	(*.f64 K (/.f64 (+.f64 m n) 2))
	32.0b	(cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 m n) 2)) M))

Compiler

Compiled 104 to 43 computations (58.7% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite90.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1202×	`rational.json-1`
1202×	`rational.json-2`
1138×	`rational.json-3`
1130×	`rational.json-4`
896×	`rational.json-simplify-63`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	27	7
2	68	7
3	236	7
4	1292	7
5	5367	7

Stop Event

1×	node limit

Counts

1 → 78

Calls

Call 1

Inputs
(pow.f64 M 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 M 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 M 2) (*.f64 (pow.f64 M 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 M 2) (/.f64 -1 (/.f64 (/.f64 1 (pow.f64 M 2)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 M 2) (/.f64 -1 (/.f64 1 (*.f64 (pow.f64 M 2) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 M 2) (/.f64 -1 (/.f64 -1 (*.f64 (pow.f64 M 2) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 M 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 M 2)) (*.f64 2 (pow.f64 M 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (pow.f64 M 2)) (neg.f64 (pow.f64 M 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 M 2) 0) (pow.f64 M 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 M 2) 3) (*.f64 (pow.f64 M 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 M 2) -2) (*.f64 (pow.f64 M 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 M 2) 4) (*.f64 (neg.f64 (pow.f64 M 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 M 2) 4) (/.f64 -1 (/.f64 1 (*.f64 (pow.f64 M 2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 M 2) 4) (/.f64 -1 (/.f64 -1 (*.f64 (neg.f64 (pow.f64 M 2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 M 2) 1/2) (*.f64 (pow.f64 M 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 (pow.f64 M 2) 3)) (*.f64 (neg.f64 (pow.f64 M 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (pow.f64 M 2)) 3) (*.f64 (pow.f64 M 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (pow.f64 M 2)) 1/2) (*.f64 1/2 (*.f64 (pow.f64 M 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 M 2) -1/2) (*.f64 -1/2 (*.f64 (neg.f64 (pow.f64 M 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (*.f64 (neg.f64 (pow.f64 M 2)) 3)) (*.f64 (pow.f64 M 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 M 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 M 2) (*.f64 (pow.f64 M 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 M 2) (+.f64 (*.f64 (pow.f64 M 2) 1/2) (*.f64 (pow.f64 M 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (pow.f64 M 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (pow.f64 M 2)) (*.f64 (pow.f64 M 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (pow.f64 M 2)) (+.f64 (*.f64 (pow.f64 M 2) -1/2) (*.f64 (*.f64 (pow.f64 M 2) 3) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (pow.f64 M 2)) (pow.f64 M 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 M 2) 0) (neg.f64 (pow.f64 M 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 M 2) 3) (*.f64 2 (pow.f64 M 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 M 2) -2) (*.f64 (neg.f64 (pow.f64 M 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 M 2) 4) (*.f64 (pow.f64 M 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (pow.f64 M 2) 4) 3/2) (*.f64 (pow.f64 M 2) 5))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 M 2) 1/2) (+.f64 (neg.f64 (pow.f64 M 2)) (*.f64 (pow.f64 M 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 M 2) 1/2) (*.f64 (neg.f64 (pow.f64 M 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 M 2) 1/2) (*.f64 (pow.f64 M 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (*.f64 (pow.f64 M 2) 3)) (*.f64 (pow.f64 M 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (*.f64 (pow.f64 M 2) 4)) (+.f64 (*.f64 (pow.f64 M 2) -2) (*.f64 (neg.f64 (pow.f64 M 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (neg.f64 (pow.f64 M 2)) 3) (neg.f64 (*.f64 (pow.f64 M 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (*.f64 (pow.f64 M 2) 4)) (+.f64 (pow.f64 M 2) (*.f64 (*.f64 (pow.f64 M 2) 4) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (neg.f64 (pow.f64 M 2)) 1/2) (*.f64 1/2 (*.f64 (neg.f64 (pow.f64 M 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 M 2) -1/2) (*.f64 (*.f64 (pow.f64 M 2) 3) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (pow.f64 M 2) (*.f64 (neg.f64 (pow.f64 M 2)) 1/2)) (*.f64 (pow.f64 M 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (*.f64 (pow.f64 M 2) 5)) (*.f64 1/2 (*.f64 (pow.f64 M 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (neg.f64 (pow.f64 M 2)) 3) (*.f64 (neg.f64 (pow.f64 M 2)) 3)) (+.f64 (neg.f64 (*.f64 (pow.f64 M 2) 4)) (*.f64 (neg.f64 (pow.f64 M 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 (pow.f64 M 2) 4) 3/2) (*.f64 (*.f64 (pow.f64 M 2) 4) 3/2)) (+.f64 (*.f64 (*.f64 (pow.f64 M 2) 4) 3/2) (*.f64 (pow.f64 M 2) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 M 2) 3)) (*.f64 1/2 (*.f64 (pow.f64 M 2) 3))) (*.f64 2 (pow.f64 M 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 M 2) 4)) (*.f64 2 (*.f64 (pow.f64 M 2) 4))) (+.f64 (*.f64 2 (*.f64 (pow.f64 M 2) 4)) (+.f64 (pow.f64 M 2) (*.f64 (*.f64 (pow.f64 M 2) 4) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (neg.f64 (pow.f64 M 2)) 1/2) (*.f64 (neg.f64 (pow.f64 M 2)) 1/2)) (+.f64 (*.f64 (neg.f64 (pow.f64 M 2)) 1/2) (*.f64 1/2 (*.f64 (neg.f64 (pow.f64 M 2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (-.f64 (pow.f64 M 2) (*.f64 (neg.f64 (pow.f64 M 2)) 1/2)) (-.f64 (pow.f64 M 2) (*.f64 (neg.f64 (pow.f64 M 2)) 1/2))) (+.f64 (-.f64 (pow.f64 M 2) (*.f64 (neg.f64 (pow.f64 M 2)) 1/2)) (*.f64 (pow.f64 M 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 M 2) 5)) (*.f64 1/2 (*.f64 (pow.f64 M 2) 5))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 M 2) 5)) (*.f64 1/2 (*.f64 (pow.f64 M 2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 M 2) 3)) (*.f64 1/2 (*.f64 (pow.f64 M 2) 3))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 M 2) 3)) (*.f64 1/2 (*.f64 (pow.f64 M 2) 3)))) (+.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 M 2) 3)) (*.f64 1/2 (*.f64 (pow.f64 M 2) 3))) (*.f64 2 (pow.f64 M 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 M 2) 4)) (*.f64 2 (*.f64 (pow.f64 M 2) 4))) (+.f64 (*.f64 2 (*.f64 (pow.f64 M 2) 4)) (*.f64 2 (*.f64 (pow.f64 M 2) 4)))) (+.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 M 2) 4)) (*.f64 2 (*.f64 (pow.f64 M 2) 4))) (+.f64 (*.f64 2 (*.f64 (pow.f64 M 2) 4)) (+.f64 (pow.f64 M 2) (*.f64 (*.f64 (pow.f64 M 2) 4) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (pow.f64 M 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 M 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 M 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (pow.f64 M 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 M 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 M 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (pow.f64 M 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 M 2) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 M 2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (pow.f64 M 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 M 2) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (pow.f64 M 2) 4)) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1/2 (/.f64 -1 (pow.f64 M 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (pow.f64 M 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (neg.f64 (*.f64 (pow.f64 M 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 -1 (pow.f64 M 2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (/.f64 1 (pow.f64 M 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 M 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (pow.f64 M 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 -1 (pow.f64 M 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 M 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 M 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 1/2 (pow.f64 M 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 M 2) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (/.f64 -1/2 (pow.f64 M 2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 M 2)))))))

simplify55.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1090×	`rational.json-simplify-42`
990×	`rational.json-simplify-6`
984×	`rational.json-simplify-4`
886×	`rational.json-simplify-29`
786×	`rational.json-simplify-21`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	154	546
1	402	546
2	2303	546

Stop Event

1×	node limit

Counts

78 → 79

Calls

Call 1

Inputs
(+.f64 (pow.f64 M 2) 0)
(+.f64 (pow.f64 M 2) (*.f64 (pow.f64 M 2) 0))
(+.f64 (pow.f64 M 2) (/.f64 -1 (/.f64 (/.f64 1 (pow.f64 M 2)) 0)))
(+.f64 (pow.f64 M 2) (/.f64 -1 (/.f64 1 (*.f64 (pow.f64 M 2) 0))))
(+.f64 (pow.f64 M 2) (/.f64 -1 (/.f64 -1 (*.f64 (pow.f64 M 2) 0))))
(+.f64 0 (pow.f64 M 2))
(+.f64 (neg.f64 (pow.f64 M 2)) (*.f64 2 (pow.f64 M 2)))
(+.f64 (*.f64 2 (pow.f64 M 2)) (neg.f64 (pow.f64 M 2)))
(+.f64 (*.f64 (pow.f64 M 2) 0) (pow.f64 M 2))
(+.f64 (.f64 (pow.f64 M 2) 3) (.f64 (pow.f64 M 2) -2))
(+.f64 (.f64 (pow.f64 M 2) -2) (.f64 (pow.f64 M 2) 3))
(+.f64 (.f64 (pow.f64 M 2) 4) (.f64 (neg.f64 (pow.f64 M 2)) 3))
(+.f64 (.f64 (pow.f64 M 2) 4) (/.f64 -1 (/.f64 1 (.f64 (pow.f64 M 2) 3))))
(+.f64 (.f64 (pow.f64 M 2) 4) (/.f64 -1 (/.f64 -1 (.f64 (neg.f64 (pow.f64 M 2)) 3))))
(+.f64 (.f64 (pow.f64 M 2) 1/2) (.f64 (pow.f64 M 2) 1/2))
(+.f64 (.f64 1/2 (.f64 (pow.f64 M 2) 3)) (*.f64 (neg.f64 (pow.f64 M 2)) 1/2))
(+.f64 (.f64 (neg.f64 (pow.f64 M 2)) 3) (.f64 (pow.f64 M 2) 4))
(+.f64 (.f64 (neg.f64 (pow.f64 M 2)) 1/2) (.f64 1/2 (*.f64 (pow.f64 M 2) 3)))
(+.f64 (.f64 (pow.f64 M 2) -1/2) (.f64 -1/2 (*.f64 (neg.f64 (pow.f64 M 2)) 3)))
(+.f64 (.f64 -1/2 (.f64 (neg.f64 (pow.f64 M 2)) 3)) (*.f64 (pow.f64 M 2) -1/2))
(-.f64 (pow.f64 M 2) 0)
(-.f64 (pow.f64 M 2) (*.f64 (pow.f64 M 2) 0))
(-.f64 (pow.f64 M 2) (+.f64 (.f64 (pow.f64 M 2) 1/2) (.f64 (pow.f64 M 2) -1/2)))
(-.f64 0 (neg.f64 (pow.f64 M 2)))
(-.f64 (neg.f64 (pow.f64 M 2)) (*.f64 (pow.f64 M 2) -2))
(-.f64 (neg.f64 (pow.f64 M 2)) (+.f64 (.f64 (pow.f64 M 2) -1/2) (.f64 (*.f64 (pow.f64 M 2) 3) -1/2)))
(-.f64 (*.f64 2 (pow.f64 M 2)) (pow.f64 M 2))
(-.f64 (*.f64 (pow.f64 M 2) 0) (neg.f64 (pow.f64 M 2)))
(-.f64 (.f64 (pow.f64 M 2) 3) (.f64 2 (pow.f64 M 2)))
(-.f64 (.f64 (pow.f64 M 2) -2) (.f64 (neg.f64 (pow.f64 M 2)) 3))
(-.f64 (.f64 (pow.f64 M 2) 4) (.f64 (pow.f64 M 2) 3))
(-.f64 (.f64 (.f64 (pow.f64 M 2) 4) 3/2) (*.f64 (pow.f64 M 2) 5))
(-.f64 (.f64 (pow.f64 M 2) 1/2) (+.f64 (neg.f64 (pow.f64 M 2)) (.f64 (pow.f64 M 2) 1/2)))
(-.f64 (.f64 (pow.f64 M 2) 1/2) (.f64 (neg.f64 (pow.f64 M 2)) 1/2))
(-.f64 (.f64 (pow.f64 M 2) 1/2) (.f64 (pow.f64 M 2) -1/2))
(-.f64 (.f64 1/2 (.f64 (pow.f64 M 2) 3)) (*.f64 (pow.f64 M 2) 1/2))
(-.f64 (neg.f64 (.f64 (pow.f64 M 2) 4)) (+.f64 (.f64 (pow.f64 M 2) -2) (*.f64 (neg.f64 (pow.f64 M 2)) 3)))
(-.f64 (.f64 (neg.f64 (pow.f64 M 2)) 3) (neg.f64 (.f64 (pow.f64 M 2) 4)))
(-.f64 (.f64 2 (.f64 (pow.f64 M 2) 4)) (+.f64 (pow.f64 M 2) (.f64 (.f64 (pow.f64 M 2) 4) 3/2)))
(-.f64 (.f64 (neg.f64 (pow.f64 M 2)) 1/2) (.f64 1/2 (*.f64 (neg.f64 (pow.f64 M 2)) 3)))
(-.f64 (.f64 (pow.f64 M 2) -1/2) (.f64 (*.f64 (pow.f64 M 2) 3) -1/2))
(-.f64 (-.f64 (pow.f64 M 2) (.f64 (neg.f64 (pow.f64 M 2)) 1/2)) (.f64 (pow.f64 M 2) 1/2))
(-.f64 (.f64 1/2 (.f64 (pow.f64 M 2) 5)) (.f64 1/2 (.f64 (pow.f64 M 2) 3)))
(-.f64 (+.f64 (.f64 (neg.f64 (pow.f64 M 2)) 3) (.f64 (neg.f64 (pow.f64 M 2)) 3)) (+.f64 (neg.f64 (.f64 (pow.f64 M 2) 4)) (.f64 (neg.f64 (pow.f64 M 2)) 3)))
(-.f64 (+.f64 (.f64 (.f64 (pow.f64 M 2) 4) 3/2) (.f64 (.f64 (pow.f64 M 2) 4) 3/2)) (+.f64 (.f64 (.f64 (pow.f64 M 2) 4) 3/2) (*.f64 (pow.f64 M 2) 5)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 M 2) 3)) (.f64 1/2 (.f64 (pow.f64 M 2) 3))) (*.f64 2 (pow.f64 M 2)))
(-.f64 (+.f64 (.f64 2 (.f64 (pow.f64 M 2) 4)) (.f64 2 (.f64 (pow.f64 M 2) 4))) (+.f64 (.f64 2 (.f64 (pow.f64 M 2) 4)) (+.f64 (pow.f64 M 2) (.f64 (.f64 (pow.f64 M 2) 4) 3/2))))
(-.f64 (+.f64 (.f64 (neg.f64 (pow.f64 M 2)) 1/2) (.f64 (neg.f64 (pow.f64 M 2)) 1/2)) (+.f64 (.f64 (neg.f64 (pow.f64 M 2)) 1/2) (.f64 1/2 (*.f64 (neg.f64 (pow.f64 M 2)) 3))))
(-.f64 (+.f64 (-.f64 (pow.f64 M 2) (.f64 (neg.f64 (pow.f64 M 2)) 1/2)) (-.f64 (pow.f64 M 2) (.f64 (neg.f64 (pow.f64 M 2)) 1/2))) (+.f64 (-.f64 (pow.f64 M 2) (.f64 (neg.f64 (pow.f64 M 2)) 1/2)) (.f64 (pow.f64 M 2) 1/2)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 M 2) 5)) (.f64 1/2 (.f64 (pow.f64 M 2) 5))) (+.f64 (.f64 1/2 (.f64 (pow.f64 M 2) 5)) (.f64 1/2 (.f64 (pow.f64 M 2) 3))))
(-.f64 (+.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 M 2) 3)) (.f64 1/2 (.f64 (pow.f64 M 2) 3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 M 2) 3)) (.f64 1/2 (.f64 (pow.f64 M 2) 3)))) (+.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 M 2) 3)) (.f64 1/2 (.f64 (pow.f64 M 2) 3))) (*.f64 2 (pow.f64 M 2))))
(-.f64 (+.f64 (+.f64 (.f64 2 (.f64 (pow.f64 M 2) 4)) (.f64 2 (.f64 (pow.f64 M 2) 4))) (+.f64 (.f64 2 (.f64 (pow.f64 M 2) 4)) (.f64 2 (.f64 (pow.f64 M 2) 4)))) (+.f64 (+.f64 (.f64 2 (.f64 (pow.f64 M 2) 4)) (.f64 2 (.f64 (pow.f64 M 2) 4))) (+.f64 (.f64 2 (.f64 (pow.f64 M 2) 4)) (+.f64 (pow.f64 M 2) (.f64 (.f64 (pow.f64 M 2) 4) 3/2)))))
(.f64 2 (.f64 (pow.f64 M 2) 1/2))
(*.f64 (pow.f64 M 2) 1)
(*.f64 1 (pow.f64 M 2))
(*.f64 -1 (neg.f64 (pow.f64 M 2)))
(*.f64 (neg.f64 (pow.f64 M 2)) -1)
(.f64 (.f64 2 (pow.f64 M 2)) 1/2)
(.f64 1/2 (.f64 2 (pow.f64 M 2)))
(.f64 (.f64 (pow.f64 M 2) -2) -1/2)
(.f64 (.f64 (pow.f64 M 2) 4) 1/4)
(.f64 -1/2 (.f64 (pow.f64 M 2) -2))
(.f64 (.f64 (pow.f64 M 2) 1/2) 2)
(.f64 (neg.f64 (.f64 (pow.f64 M 2) 4)) -1/4)
(*.f64 -2 (/.f64 1/2 (/.f64 -1 (pow.f64 M 2))))
(.f64 1/4 (.f64 (pow.f64 M 2) 4))
(.f64 -1/4 (neg.f64 (.f64 (pow.f64 M 2) 4)))
(*.f64 (/.f64 1/2 (/.f64 -1 (pow.f64 M 2))) -2)
(/.f64 2 (/.f64 (/.f64 1 (pow.f64 M 2)) 1/2))
(/.f64 (pow.f64 M 2) 1)
(/.f64 1 (/.f64 1 (pow.f64 M 2)))
(/.f64 -1 (/.f64 -1 (pow.f64 M 2)))
(/.f64 (neg.f64 (pow.f64 M 2)) -1)
(/.f64 (*.f64 2 (pow.f64 M 2)) 2)
(/.f64 1/2 (/.f64 1/2 (pow.f64 M 2)))
(/.f64 (*.f64 (pow.f64 M 2) -2) -2)
(/.f64 -1/2 (/.f64 -1/2 (pow.f64 M 2)))
(neg.f64 (neg.f64 (pow.f64 M 2)))

Outputs
(+.f64 (pow.f64 M 2) 0)
(pow.f64 M 2)
(+.f64 (pow.f64 M 2) (*.f64 (pow.f64 M 2) 0))
(pow.f64 M 2)
(+.f64 (pow.f64 M 2) (/.f64 -1 (/.f64 (/.f64 1 (pow.f64 M 2)) 0)))
(pow.f64 M 2)
(+.f64 (pow.f64 M 2) (/.f64 -1 (/.f64 1 (*.f64 (pow.f64 M 2) 0))))
(pow.f64 M 2)
(+.f64 (pow.f64 M 2) (/.f64 -1 (/.f64 -1 (*.f64 (pow.f64 M 2) 0))))
(pow.f64 M 2)
(+.f64 0 (pow.f64 M 2))
(pow.f64 M 2)
(+.f64 (neg.f64 (pow.f64 M 2)) (*.f64 2 (pow.f64 M 2)))
(pow.f64 M 2)
(+.f64 (*.f64 2 (pow.f64 M 2)) (neg.f64 (pow.f64 M 2)))
(pow.f64 M 2)
(+.f64 (*.f64 (pow.f64 M 2) 0) (pow.f64 M 2))
(pow.f64 M 2)
(+.f64 (.f64 (pow.f64 M 2) 3) (.f64 (pow.f64 M 2) -2))
(pow.f64 M 2)
(+.f64 (.f64 (pow.f64 M 2) -2) (.f64 (pow.f64 M 2) 3))
(pow.f64 M 2)
(+.f64 (.f64 (pow.f64 M 2) 4) (.f64 (neg.f64 (pow.f64 M 2)) 3))
(pow.f64 M 2)
(+.f64 (.f64 (pow.f64 M 2) 4) (/.f64 -1 (/.f64 1 (.f64 (pow.f64 M 2) 3))))
(pow.f64 M 2)
(+.f64 (.f64 (pow.f64 M 2) 4) (/.f64 -1 (/.f64 -1 (.f64 (neg.f64 (pow.f64 M 2)) 3))))
(pow.f64 M 2)
(+.f64 (.f64 (pow.f64 M 2) 1/2) (.f64 (pow.f64 M 2) 1/2))
(pow.f64 M 2)
(+.f64 (.f64 1/2 (.f64 (pow.f64 M 2) 3)) (*.f64 (neg.f64 (pow.f64 M 2)) 1/2))
(pow.f64 M 2)
(+.f64 (.f64 (neg.f64 (pow.f64 M 2)) 3) (.f64 (pow.f64 M 2) 4))
(pow.f64 M 2)
(+.f64 (.f64 (neg.f64 (pow.f64 M 2)) 1/2) (.f64 1/2 (*.f64 (pow.f64 M 2) 3)))
(pow.f64 M 2)
(+.f64 (.f64 (pow.f64 M 2) -1/2) (.f64 -1/2 (*.f64 (neg.f64 (pow.f64 M 2)) 3)))
(pow.f64 M 2)
(+.f64 (.f64 -1/2 (.f64 (neg.f64 (pow.f64 M 2)) 3)) (*.f64 (pow.f64 M 2) -1/2))
(pow.f64 M 2)
(-.f64 (pow.f64 M 2) 0)
(pow.f64 M 2)
(-.f64 (pow.f64 M 2) (*.f64 (pow.f64 M 2) 0))
(pow.f64 M 2)
(-.f64 (pow.f64 M 2) (+.f64 (.f64 (pow.f64 M 2) 1/2) (.f64 (pow.f64 M 2) -1/2)))
(pow.f64 M 2)
(-.f64 0 (neg.f64 (pow.f64 M 2)))
(pow.f64 M 2)
(-.f64 (neg.f64 (pow.f64 M 2)) (*.f64 (pow.f64 M 2) -2))
(pow.f64 M 2)
(-.f64 (neg.f64 (pow.f64 M 2)) (+.f64 (.f64 (pow.f64 M 2) -1/2) (.f64 (*.f64 (pow.f64 M 2) 3) -1/2)))
(pow.f64 M 2)
(-.f64 (*.f64 2 (pow.f64 M 2)) (pow.f64 M 2))
(pow.f64 M 2)
(-.f64 (*.f64 (pow.f64 M 2) 0) (neg.f64 (pow.f64 M 2)))
(pow.f64 M 2)
(-.f64 (.f64 (pow.f64 M 2) 3) (.f64 2 (pow.f64 M 2)))
(pow.f64 M 2)
(-.f64 (.f64 (pow.f64 M 2) -2) (.f64 (neg.f64 (pow.f64 M 2)) 3))
(pow.f64 M 2)
(-.f64 (.f64 (pow.f64 M 2) 4) (.f64 (pow.f64 M 2) 3))
(pow.f64 M 2)
(-.f64 (.f64 (.f64 (pow.f64 M 2) 4) 3/2) (*.f64 (pow.f64 M 2) 5))
(pow.f64 M 2)
(-.f64 (.f64 (pow.f64 M 2) 1/2) (+.f64 (neg.f64 (pow.f64 M 2)) (.f64 (pow.f64 M 2) 1/2)))
(pow.f64 M 2)
(-.f64 (.f64 (pow.f64 M 2) 1/2) (.f64 (neg.f64 (pow.f64 M 2)) 1/2))
(pow.f64 M 2)
(-.f64 (.f64 (pow.f64 M 2) 1/2) (.f64 (pow.f64 M 2) -1/2))
(pow.f64 M 2)
(-.f64 (.f64 1/2 (.f64 (pow.f64 M 2) 3)) (*.f64 (pow.f64 M 2) 1/2))
(pow.f64 M 2)
(-.f64 (neg.f64 (.f64 (pow.f64 M 2) 4)) (+.f64 (.f64 (pow.f64 M 2) -2) (*.f64 (neg.f64 (pow.f64 M 2)) 3)))
(pow.f64 M 2)
(-.f64 (.f64 (neg.f64 (pow.f64 M 2)) 3) (neg.f64 (.f64 (pow.f64 M 2) 4)))
(pow.f64 M 2)
(-.f64 (.f64 2 (.f64 (pow.f64 M 2) 4)) (+.f64 (pow.f64 M 2) (.f64 (.f64 (pow.f64 M 2) 4) 3/2)))
(pow.f64 M 2)
(-.f64 (.f64 (neg.f64 (pow.f64 M 2)) 1/2) (.f64 1/2 (*.f64 (neg.f64 (pow.f64 M 2)) 3)))
(pow.f64 M 2)
(-.f64 (.f64 (pow.f64 M 2) -1/2) (.f64 (*.f64 (pow.f64 M 2) 3) -1/2))
(pow.f64 M 2)
(-.f64 (-.f64 (pow.f64 M 2) (.f64 (neg.f64 (pow.f64 M 2)) 1/2)) (.f64 (pow.f64 M 2) 1/2))
(pow.f64 M 2)
(-.f64 (.f64 1/2 (.f64 (pow.f64 M 2) 5)) (.f64 1/2 (.f64 (pow.f64 M 2) 3)))
(pow.f64 M 2)
(-.f64 (+.f64 (.f64 (neg.f64 (pow.f64 M 2)) 3) (.f64 (neg.f64 (pow.f64 M 2)) 3)) (+.f64 (neg.f64 (.f64 (pow.f64 M 2) 4)) (.f64 (neg.f64 (pow.f64 M 2)) 3)))
(pow.f64 M 2)
(-.f64 (+.f64 (.f64 (.f64 (pow.f64 M 2) 4) 3/2) (.f64 (.f64 (pow.f64 M 2) 4) 3/2)) (+.f64 (.f64 (.f64 (pow.f64 M 2) 4) 3/2) (*.f64 (pow.f64 M 2) 5)))
(pow.f64 M 2)
(-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 M 2) 3)) (.f64 1/2 (.f64 (pow.f64 M 2) 3))) (*.f64 2 (pow.f64 M 2)))
(pow.f64 M 2)
(-.f64 (+.f64 (.f64 2 (.f64 (pow.f64 M 2) 4)) (.f64 2 (.f64 (pow.f64 M 2) 4))) (+.f64 (.f64 2 (.f64 (pow.f64 M 2) 4)) (+.f64 (pow.f64 M 2) (.f64 (.f64 (pow.f64 M 2) 4) 3/2))))
(pow.f64 M 2)
(-.f64 (+.f64 (.f64 (neg.f64 (pow.f64 M 2)) 1/2) (.f64 (neg.f64 (pow.f64 M 2)) 1/2)) (+.f64 (.f64 (neg.f64 (pow.f64 M 2)) 1/2) (.f64 1/2 (*.f64 (neg.f64 (pow.f64 M 2)) 3))))
(pow.f64 M 2)
(-.f64 (+.f64 (-.f64 (pow.f64 M 2) (.f64 (neg.f64 (pow.f64 M 2)) 1/2)) (-.f64 (pow.f64 M 2) (.f64 (neg.f64 (pow.f64 M 2)) 1/2))) (+.f64 (-.f64 (pow.f64 M 2) (.f64 (neg.f64 (pow.f64 M 2)) 1/2)) (.f64 (pow.f64 M 2) 1/2)))
(pow.f64 M 2)
(-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 M 2) 5)) (.f64 1/2 (.f64 (pow.f64 M 2) 5))) (+.f64 (.f64 1/2 (.f64 (pow.f64 M 2) 5)) (.f64 1/2 (.f64 (pow.f64 M 2) 3))))
(pow.f64 M 2)
(-.f64 (+.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 M 2) 3)) (.f64 1/2 (.f64 (pow.f64 M 2) 3))) (+.f64 (.f64 1/2 (.f64 (pow.f64 M 2) 3)) (.f64 1/2 (.f64 (pow.f64 M 2) 3)))) (+.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 M 2) 3)) (.f64 1/2 (.f64 (pow.f64 M 2) 3))) (*.f64 2 (pow.f64 M 2))))
(pow.f64 M 2)
(-.f64 (+.f64 (+.f64 (.f64 2 (.f64 (pow.f64 M 2) 4)) (.f64 2 (.f64 (pow.f64 M 2) 4))) (+.f64 (.f64 2 (.f64 (pow.f64 M 2) 4)) (.f64 2 (.f64 (pow.f64 M 2) 4)))) (+.f64 (+.f64 (.f64 2 (.f64 (pow.f64 M 2) 4)) (.f64 2 (.f64 (pow.f64 M 2) 4))) (+.f64 (.f64 2 (.f64 (pow.f64 M 2) 4)) (+.f64 (pow.f64 M 2) (.f64 (.f64 (pow.f64 M 2) 4) 3/2)))))
(pow.f64 M 2)
(.f64 2 (.f64 (pow.f64 M 2) 1/2))
(pow.f64 M 2)
(*.f64 (pow.f64 M 2) 1)
(pow.f64 M 2)
(*.f64 1 (pow.f64 M 2))
(pow.f64 M 2)
(*.f64 -1 (neg.f64 (pow.f64 M 2)))
(pow.f64 M 2)
(*.f64 (neg.f64 (pow.f64 M 2)) -1)
(pow.f64 M 2)
(.f64 (.f64 2 (pow.f64 M 2)) 1/2)
(pow.f64 M 2)
(.f64 1/2 (.f64 2 (pow.f64 M 2)))
(pow.f64 M 2)
(.f64 (.f64 (pow.f64 M 2) -2) -1/2)
(pow.f64 M 2)
(.f64 (.f64 (pow.f64 M 2) 4) 1/4)
(pow.f64 M 2)
(.f64 -1/2 (.f64 (pow.f64 M 2) -2))
(pow.f64 M 2)
(.f64 (.f64 (pow.f64 M 2) 1/2) 2)
(pow.f64 M 2)
(.f64 (neg.f64 (.f64 (pow.f64 M 2) 4)) -1/4)
(pow.f64 M 2)
(*.f64 -2 (/.f64 1/2 (/.f64 -1 (pow.f64 M 2))))
(pow.f64 M 2)
(.f64 1/4 (.f64 (pow.f64 M 2) 4))
(pow.f64 M 2)
(.f64 -1/4 (neg.f64 (.f64 (pow.f64 M 2) 4)))
(pow.f64 M 2)
(*.f64 (/.f64 1/2 (/.f64 -1 (pow.f64 M 2))) -2)
(pow.f64 M 2)
(/.f64 2 (/.f64 (/.f64 1 (pow.f64 M 2)) 1/2))
(pow.f64 M 2)
(/.f64 (pow.f64 M 2) 1)
(pow.f64 M 2)
(/.f64 1 (/.f64 1 (pow.f64 M 2)))
(pow.f64 M 2)
(/.f64 -1 (/.f64 -1 (pow.f64 M 2)))
(pow.f64 M 2)
(/.f64 (neg.f64 (pow.f64 M 2)) -1)
(pow.f64 M 2)
(/.f64 (*.f64 2 (pow.f64 M 2)) 2)
(pow.f64 M 2)
(/.f64 1/2 (/.f64 1/2 (pow.f64 M 2)))
(pow.f64 M 2)
(/.f64 (*.f64 (pow.f64 M 2) -2) -2)
(pow.f64 M 2)
(/.f64 -1/2 (/.f64 -1/2 (pow.f64 M 2)))
(pow.f64 M 2)
(neg.f64 (neg.f64 (pow.f64 M 2)))
(pow.f64 M 2)

localize44.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 2 (+.f64 m n))
	0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
✓	0.2b	(/.f64 K (/.f64 2 (+.f64 m n)))
✓	32.0b	(cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M))

Compiler

Compiled 140 to 60 computations (57.1% saved)

series4.0ms (0%)

Counts

3 → 108

Calls

27 calls:

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

rewrite71.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1152×	`rational.json-simplify-3`
1054×	`rational.json-simplify-2`
1044×	`rational.json-simplify-21`
1034×	`rational.json-simplify-12`
966×	`rational.json-simplify-28`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	61
1	83	61
2	306	61
3	1705	61

Stop Event

1×	node limit

Counts

3 → 261

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M)) (-.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M)) (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M)) (+.f64 0 (-.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M)) (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M)) (-.f64 0 (-.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M)) (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M))) (*.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M)) 2) (neg.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M)) (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M))) (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M)) 2) (*.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M)) 2)) (-.f64 0 (+.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M)) (*.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M)) (-.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M)) (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M))) (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M)) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M)) 2) (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M)) 2) (*.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M)) 2)) (+.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M)) (*.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M)) (*.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M)) 2)) (*.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 1 (neg.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M))) (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M)) (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M))) (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M)) (*.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M)) 2)) (+.f64 (*.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M)) 2) (*.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) M))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) (*.f64 (+.f64 m n) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) (*.f64 K 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) (neg.f64 (*.f64 (+.f64 m n) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) (neg.f64 (*.f64 K 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) (-.f64 (*.f64 (+.f64 m n) 0) (*.f64 (+.f64 m n) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) (-.f64 (*.f64 K 0) (*.f64 (+.f64 m n) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) (-.f64 (*.f64 (+.f64 m n) 0) (*.f64 K 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) (-.f64 (*.f64 K 0) 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K 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (+.f64 m n) 2) 1/2) (/.f64 2 (*.f64 K 1/2))) (*.f64 K (*.f64 1/2 (+.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (neg.f64 (/.f64 4 (+.f64 m n)))) (/.f64 (+.f64 K K) (neg.f64 (/.f64 4 (+.f64 m n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 K (*.f64 (+.f64 m n) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 K (*.f64 1/2 (+.f64 m n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 K (*.f64 1/2 (+.f64 (*.f64 (+.f64 m n) 1/2) (*.f64 (+.f64 m n) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 K (*.f64 (/.f64 (+.f64 m n) -2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 m n) (*.f64 K 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 m n) (/.f64 4 K)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1 (/.f64 (+.f64 m n) (/.f64 4 K))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 K K) (/.f64 (+.f64 m n) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 m n) (*.f64 K 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 m n) (*.f64 (*.f64 K 1/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 K (*.f64 1/2 (+.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 m n) 1/2) K)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 K (+.f64 m n)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 K (+.f64 m n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 K (/.f64 (*.f64 (+.f64 m n) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 m n) (/.f64 (+.f64 K K) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (*.f64 (+.f64 m n) 2) (/.f64 (+.f64 K K) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (*.f64 K 1/4) (/.f64 (*.f64 (+.f64 m n) 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 K K) (*.f64 (+.f64 m n) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 m n) 1/4) (+.f64 K K))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 m n) 1/4) (*.f64 1/2 (+.f64 K (+.f64 K (+.f64 K K)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 K 1/2) (+.f64 m n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (*.f64 K (*.f64 1/2 (+.f64 m n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (+.f64 m n) (*.f64 (neg.f64 K) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 K (/.f64 (+.f64 m n) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 1 (neg.f64 (*.f64 K (*.f64 1/2 (+.f64 m n))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (+.f64 K K) (/.f64 (+.f64 m n) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (*.f64 K 1/2) (neg.f64 (+.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 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(2) ((x *.f64 (neg.f64 (+.f64 K K)) (/.f64 (+.f64 m n) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 K K)) (*.f64 1 (/.f64 (+.f64 m n) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 m n) -4) (neg.f64 (+.f64 K K)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 m n) -4) (*.f64 1 (neg.f64 (+.f64 K K))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 m n) -2) (neg.f64 K))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (+.f64 m n) 1/2) (*.f64 (+.f64 m n) 1/2)) (*.f64 K 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 K (+.f64 K (+.f64 K K))) (/.f64 (+.f64 m n) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 K (+.f64 K (+.f64 K K))) (*.f64 (*.f64 (+.f64 m n) 1/4) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 K (+.f64 K (+.f64 K K))) (*.f64 1 (/.f64 (+.f64 m n) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 K (+.f64 K (+.f64 K K))) (*.f64 1/2 (*.f64 (+.f64 m n) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (neg.f64 (+.f64 m n)) (+.f64 m n)) (neg.f64 (*.f64 K 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (neg.f64 (+.f64 m n)) (+.f64 m n)) (*.f64 K -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (neg.f64 (+.f64 m n)) (+.f64 m n)) (*.f64 1 (neg.f64 (*.f64 K 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (neg.f64 (+.f64 m n)) (+.f64 m n)) (*.f64 (*.f64 K 1/2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (neg.f64 K) K) (/.f64 (+.f64 m n) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (neg.f64 K) K) (*.f64 1 (/.f64 (+.f64 m n) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (neg.f64 K) K) (*.f64 (*.f64 (+.f64 m n) 1/2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (+.f64 m n) 2) (*.f64 (+.f64 m n) 2)) (*.f64 1/2 (*.f64 K 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (neg.f64 (*.f64 K (*.f64 1/2 (+.f64 m n)))) (*.f64 K (*.f64 1/2 (+.f64 m n)))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 K 1/4) (*.f64 K 1/4)) (+.f64 m n))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 K (*.f64 1/2 (+.f64 m n)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (+.f64 m n) (*.f64 (neg.f64 K) 1/2)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (+.f64 m n)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (+.f64 m n)) (-.f64 (/.f64 2 (+.f64 m n)) (/.f64 2 (+.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (+.f64 m n)) (+.f64 0 (-.f64 (/.f64 2 (+.f64 m n)) (/.f64 2 (+.f64 m n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (+.f64 m n)) (-.f64 0 (-.f64 (/.f64 2 (+.f64 m n)) (/.f64 2 (+.f64 m n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 2 (+.f64 m n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 2 (+.f64 m n))) (/.f64 4 (+.f64 m n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 4 (+.f64 m n)) (neg.f64 (/.f64 2 (+.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 2 (+.f64 m n)) (/.f64 2 (+.f64 m n))) (/.f64 2 (+.f64 m n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 4 (+.f64 m n)) (/.f64 4 (+.f64 m n))) (-.f64 0 (+.f64 (/.f64 2 (+.f64 m n)) (/.f64 4 (+.f64 m n)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (+.f64 m n)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 2 (+.f64 m n)) (-.f64 (/.f64 2 (+.f64 m n)) (/.f64 2 (+.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 2 (+.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (/.f64 2 (+.f64 m n))) (neg.f64 (/.f64 4 (+.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4 (+.f64 m n)) (/.f64 2 (+.f64 m n)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 2 (+.f64 m n)) (/.f64 4 (+.f64 m n))) (/.f64 4 (+.f64 m n)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 4 (+.f64 m n)) (/.f64 4 (+.f64 m n))) (+.f64 (/.f64 2 (+.f64 m n)) (/.f64 4 (+.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (+.f64 m n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 4 (/.f64 1/2 (*.f64 (+.f64 m n) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (+.f64 m n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 2 (+.f64 m n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 1/2 (+.f64 m n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 4 (+.f64 m n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (+.f64 m n)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (/.f64 2 (+.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 4 (neg.f64 (/.f64 1/2 (+.f64 m n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 4 (/.f64 1/2 (neg.f64 (+.f64 m n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 2 (+.f64 m n))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 m n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (+.f64 m n)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (neg.f64 (/.f64 1/2 (+.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (/.f64 1/2 (neg.f64 (+.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (*.f64 1 (neg.f64 (/.f64 1/2 (+.f64 m n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (*.f64 1 (/.f64 1/2 (neg.f64 (+.f64 m n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (/.f64 1/2 (*.f64 (+.f64 m n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (*.f64 1 (/.f64 1/2 (*.f64 (+.f64 m n) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (neg.f64 (/.f64 2 (+.f64 m n))) (/.f64 2 (+.f64 m n))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 2 (+.f64 m n))))))))

simplify134.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

774×	`rational.json-simplify-2`
772×	`rational.json-simplify-50`
710×	`rational.json-simplify-1`
606×	`rational.json-simplify-24`
588×	`rational.json-simplify-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	633	9241
1	1978	9207
2	7820	9207

Stop Event

1×	node limit

Counts

369 → 334

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))
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(+.f64 (-.f64 (.f64 K (.f64 n 1/2)) (.f64 (+.f64 m n) 0)) (.f64 K (*.f64 m 1/2)))
(+.f64 (-.f64 (.f64 K (.f64 m 1/2)) (.f64 (+.f64 m n) 0)) (.f64 K (*.f64 n 1/2)))
(+.f64 (-.f64 (.f64 (+.f64 m n) 0) (.f64 K 0)) (.f64 K (.f64 1/2 (+.f64 m n))))
(+.f64 (-.f64 (.f64 K 0) (.f64 K 0)) (.f64 K (.f64 1/2 (+.f64 m n))))
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(+.f64 (.f64 (+.f64 m n) (.f64 K 1/4)) (+.f64 (.f64 (+.f64 m n) 0) (.f64 (+.f64 m n) (*.f64 K 1/4))))
(+.f64 (.f64 (+.f64 m n) (.f64 K 1/4)) (+.f64 (.f64 K 0) (.f64 (+.f64 m n) (*.f64 K 1/4))))
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(-.f64 (.f64 K (.f64 1/2 (+.f64 m n))) 0)
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(-.f64 (.f64 K (.f64 1/2 (+.f64 m n))) (*.f64 K 0))
(-.f64 (.f64 K (.f64 1/2 (+.f64 m n))) (neg.f64 (*.f64 (+.f64 m n) 0)))
(-.f64 (.f64 K (.f64 1/2 (+.f64 m n))) (neg.f64 (*.f64 K 0)))
(-.f64 (.f64 K (.f64 1/2 (+.f64 m n))) (-.f64 (.f64 (+.f64 m n) 0) (.f64 (+.f64 m n) 0)))
(-.f64 (.f64 K (.f64 1/2 (+.f64 m n))) (-.f64 (.f64 K 0) (.f64 (+.f64 m n) 0)))
(-.f64 (.f64 K (.f64 1/2 (+.f64 m n))) (-.f64 (.f64 (+.f64 m n) 0) (.f64 K 0)))
(-.f64 (.f64 K (.f64 1/2 (+.f64 m n))) (-.f64 (.f64 K 0) (.f64 K 0)))
(-.f64 (.f64 K (.f64 1/2 (+.f64 m n))) (-.f64 (.f64 K (+.f64 m n)) (.f64 K (+.f64 m n))))
(-.f64 (.f64 K (.f64 1/2 (+.f64 m n))) (/.f64 (-.f64 K K) (/.f64 2 (+.f64 m n))))
(-.f64 (.f64 K (.f64 1/2 (+.f64 m n))) (/.f64 (-.f64 (+.f64 m n) (+.f64 m n)) (/.f64 2 K)))
(-.f64 (.f64 K (.f64 1/2 (+.f64 m n))) (/.f64 0 (/.f64 -2 (+.f64 m n))))
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(-.f64 (neg.f64 (.f64 K (.f64 1/2 (+.f64 m n)))) (neg.f64 (*.f64 K (+.f64 m n))))
(-.f64 (neg.f64 (.f64 K (.f64 1/2 (+.f64 m n)))) (/.f64 (+.f64 K K) (neg.f64 (/.f64 2 (+.f64 m n)))))
(-.f64 (neg.f64 (.f64 K (.f64 1/2 (+.f64 m n)))) (/.f64 (*.f64 (+.f64 m n) 2) (neg.f64 (/.f64 2 K))))
(-.f64 (/.f64 K (/.f64 1/2 (+.f64 m n))) (+.f64 (.f64 K (.f64 1/2 (+.f64 m n))) (*.f64 K (+.f64 m n))))
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(-.f64 (/.f64 K (/.f64 1/2 (+.f64 m n))) (/.f64 (+.f64 (+.f64 m n) (*.f64 (+.f64 m n) 2)) (/.f64 2 K)))
(-.f64 (+.f64 (.f64 K (.f64 1/2 (+.f64 m n))) (.f64 K (+.f64 m n))) (.f64 K (+.f64 m n)))
(-.f64 (+.f64 (.f64 (+.f64 m n) 0) (.f64 (+.f64 m n) 0)) (neg.f64 (.f64 K (.f64 1/2 (+.f64 m n)))))
(-.f64 (+.f64 (.f64 (+.f64 m n) 0) (.f64 K 0)) (neg.f64 (.f64 K (.f64 1/2 (+.f64 m n)))))
(-.f64 (+.f64 (.f64 K 0) (.f64 (+.f64 m n) 0)) (neg.f64 (.f64 K (.f64 1/2 (+.f64 m n)))))
(-.f64 (+.f64 (.f64 K 0) (.f64 K 0)) (neg.f64 (.f64 K (.f64 1/2 (+.f64 m n)))))
(-.f64 (+.f64 (.f64 K (+.f64 m n)) (.f64 K 0)) (.f64 K (.f64 1/2 (+.f64 m n))))
(-.f64 (+.f64 (.f64 K 0) (/.f64 K (/.f64 1/2 (+.f64 m n)))) (+.f64 (.f64 K (.f64 1/2 (+.f64 m n))) (.f64 K (+.f64 m n))))
(-.f64 (+.f64 (.f64 K (.f64 m 1/2)) (/.f64 (+.f64 n n) (/.f64 2 K))) (.f64 K (.f64 n 1/2)))
(-.f64 (+.f64 (.f64 K (.f64 n 1/2)) (/.f64 (+.f64 m m) (/.f64 2 K))) (.f64 K (.f64 m 1/2)))
(-.f64 (/.f64 (+.f64 m (+.f64 n n)) (/.f64 2 K)) (.f64 K (.f64 n 1/2)))
(-.f64 (/.f64 (+.f64 n (+.f64 m m)) (/.f64 2 K)) (.f64 K (.f64 m 1/2)))
(-.f64 (/.f64 (+.f64 (.f64 (+.f64 m n) 1/2) (.f64 (+.f64 m n) 1/2)) (/.f64 1 K)) (.f64 K (.f64 1/2 (+.f64 m n))))
(-.f64 (/.f64 (+.f64 (.f64 K (.f64 1/2 (+.f64 m n))) (*.f64 K (+.f64 m n))) 2) (/.f64 K (/.f64 4 (+.f64 m n))))
(-.f64 (/.f64 (.f64 K (.f64 (+.f64 m n) 2)) 2) (.f64 K (.f64 1/2 (+.f64 m n))))
(-.f64 (/.f64 (+.f64 K (+.f64 K K)) (/.f64 4 (+.f64 m n))) (/.f64 K (/.f64 4 (+.f64 m n))))
(-.f64 (/.f64 K (/.f64 -2 (+.f64 m n))) (/.f64 (+.f64 K K) (/.f64 -2 (+.f64 m n))))
(-.f64 (/.f64 0 (/.f64 -2 (+.f64 m n))) (/.f64 K (/.f64 -2 (+.f64 m n))))
(-.f64 (/.f64 (+.f64 m n) (/.f64 -2 K)) (/.f64 (*.f64 (+.f64 m n) 2) (/.f64 -2 K)))
(-.f64 (/.f64 0 (/.f64 -2 K)) (/.f64 (+.f64 m n) (/.f64 -2 K)))
(-.f64 (/.f64 (+.f64 m n) (/.f64 -1 (.f64 K 1/2))) (/.f64 (.f64 (+.f64 m n) 2) (/.f64 -1 (*.f64 K 1/2))))
(-.f64 (/.f64 0 (/.f64 -1 (.f64 K 1/2))) (/.f64 (+.f64 m n) (/.f64 -1 (.f64 K 1/2))))
(-.f64 (/.f64 (+.f64 (+.f64 m n) (*.f64 (+.f64 m n) 2)) (/.f64 4 K)) (/.f64 (+.f64 m n) (/.f64 4 K)))
(-.f64 (/.f64 (/.f64 (.f64 (+.f64 m n) 2) 1/2) (/.f64 4 K)) (.f64 K (*.f64 1/2 (+.f64 m n))))
(-.f64 (/.f64 (+.f64 (+.f64 m n) (.f64 (+.f64 m n) 2)) (/.f64 2 (.f64 K 1/2))) (/.f64 (+.f64 m n) (/.f64 2 (*.f64 K 1/2))))
(-.f64 (/.f64 (/.f64 (.f64 (+.f64 m n) 2) 1/2) (/.f64 2 (.f64 K 1/2))) (.f64 K (.f64 1/2 (+.f64 m n))))
(-.f64 (/.f64 0 (neg.f64 (/.f64 4 (+.f64 m n)))) (/.f64 (+.f64 K K) (neg.f64 (/.f64 4 (+.f64 m n)))))
(.f64 K (.f64 (+.f64 m n) 1/2))
(.f64 K (.f64 1/2 (+.f64 m n)))
(.f64 K (.f64 1/2 (+.f64 (.f64 (+.f64 m n) 1/2) (.f64 (+.f64 m n) 1/2))))
(.f64 K (.f64 (/.f64 (+.f64 m n) -2) -1))
(.f64 2 (.f64 (+.f64 m n) (*.f64 K 1/4)))
(*.f64 2 (/.f64 (+.f64 m n) (/.f64 4 K)))
(.f64 2 (.f64 1 (/.f64 (+.f64 m n) (/.f64 4 K))))
(.f64 2 (.f64 (+.f64 K K) (/.f64 (+.f64 m n) 8)))
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 (+.f64 m n) (.f64 (*.f64 K 1/4) 2))
(.f64 (.f64 K (*.f64 1/2 (+.f64 m n))) 1)
(.f64 1 (.f64 K (*.f64 1/2 (+.f64 m n))))
(.f64 (.f64 (+.f64 m n) 1/2) K)
(.f64 (.f64 K (+.f64 m n)) 1/2)
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 1/2 (.f64 K (/.f64 (*.f64 (+.f64 m n) 2) 2)))
(.f64 1/2 (.f64 (+.f64 m n) (/.f64 (+.f64 K K) 2)))
(.f64 1/2 (.f64 (*.f64 (+.f64 m n) 2) (/.f64 (+.f64 K K) 4)))
(.f64 1/2 (.f64 (.f64 K 1/4) (/.f64 (.f64 (+.f64 m n) 2) 1/2)))
(.f64 (+.f64 K K) (.f64 (+.f64 m n) 1/4))
(.f64 (.f64 (+.f64 m n) 1/4) (+.f64 K K))
(.f64 (.f64 (+.f64 m n) 1/4) (*.f64 1/2 (+.f64 K (+.f64 K (+.f64 K K)))))
(.f64 (.f64 K 1/2) (+.f64 m n))
(.f64 -1 (neg.f64 (.f64 K (*.f64 1/2 (+.f64 m n)))))
(.f64 -1 (.f64 (+.f64 m n) (*.f64 (neg.f64 K) 1/2)))
(.f64 -1 (.f64 K (/.f64 (+.f64 m n) -2)))
(.f64 -1 (.f64 1 (neg.f64 (.f64 K (.f64 1/2 (+.f64 m n))))))
(.f64 -1 (.f64 (+.f64 K K) (/.f64 (+.f64 m n) -4)))
(.f64 -1 (.f64 (*.f64 K 1/2) (neg.f64 (+.f64 m n))))
(*.f64 (neg.f64 K) (/.f64 (+.f64 m n) -2))
(.f64 (neg.f64 K) (.f64 1 (/.f64 (+.f64 m n) -2)))
(.f64 (neg.f64 (+.f64 m n)) (.f64 1/2 (neg.f64 K)))
(.f64 (neg.f64 (.f64 K (*.f64 1/2 (+.f64 m n)))) -1)
(.f64 1/8 (.f64 (+.f64 K K) (*.f64 (+.f64 m n) 2)))
(.f64 (.f64 (+.f64 m n) 2) (*.f64 K 1/4))
(.f64 -1/2 (.f64 (*.f64 (+.f64 m n) 1/2) (neg.f64 (+.f64 K K))))
(.f64 -1/2 (.f64 (+.f64 K K) (/.f64 (+.f64 m n) -2)))
(*.f64 (/.f64 K (/.f64 1/2 (+.f64 m n))) 1/4)
(.f64 (.f64 K 1/4) (*.f64 (+.f64 m n) 2))
(.f64 1/4 (.f64 K (*.f64 (+.f64 m n) 2)))
(*.f64 (neg.f64 (+.f64 K K)) (/.f64 (+.f64 m n) -4))
(.f64 (neg.f64 (+.f64 K K)) (.f64 1 (/.f64 (+.f64 m n) -4)))
(*.f64 (/.f64 (+.f64 m n) -4) (neg.f64 (+.f64 K K)))
(.f64 (/.f64 (+.f64 m n) -4) (.f64 1 (neg.f64 (+.f64 K K))))
(*.f64 (/.f64 (+.f64 m n) -2) (neg.f64 K))
(.f64 (+.f64 (.f64 (+.f64 m n) 1/2) (.f64 (+.f64 m n) 1/2)) (.f64 K 1/2))
(*.f64 (+.f64 K (+.f64 K (+.f64 K K))) (/.f64 (+.f64 m n) 8))
(.f64 (+.f64 K (+.f64 K (+.f64 K K))) (.f64 (*.f64 (+.f64 m n) 1/4) 1/2))
(.f64 (+.f64 K (+.f64 K (+.f64 K K))) (.f64 1 (/.f64 (+.f64 m n) 8)))
(.f64 (+.f64 K (+.f64 K (+.f64 K K))) (.f64 1/2 (*.f64 (+.f64 m n) 1/4)))
(.f64 (-.f64 (neg.f64 (+.f64 m n)) (+.f64 m n)) (neg.f64 (.f64 K 1/4)))
(.f64 (-.f64 (neg.f64 (+.f64 m n)) (+.f64 m n)) (.f64 K -1/4))
(.f64 (-.f64 (neg.f64 (+.f64 m n)) (+.f64 m n)) (.f64 1 (neg.f64 (*.f64 K 1/4))))
(.f64 (-.f64 (neg.f64 (+.f64 m n)) (+.f64 m n)) (.f64 (*.f64 K 1/2) -1/2))
(*.f64 (-.f64 (neg.f64 K) K) (/.f64 (+.f64 m n) -4))
(.f64 (-.f64 (neg.f64 K) K) (.f64 1 (/.f64 (+.f64 m n) -4)))
(.f64 (-.f64 (neg.f64 K) K) (.f64 (*.f64 (+.f64 m n) 1/2) -1/2))
(.f64 (+.f64 (.f64 (+.f64 m n) 2) (.f64 (+.f64 m n) 2)) (.f64 1/2 (*.f64 K 1/4)))
(.f64 (-.f64 (neg.f64 (.f64 K (.f64 1/2 (+.f64 m n)))) (.f64 K (*.f64 1/2 (+.f64 m n)))) -1/2)
(.f64 (+.f64 (.f64 K 1/4) (*.f64 K 1/4)) (+.f64 m n))
(neg.f64 (neg.f64 (.f64 K (.f64 1/2 (+.f64 m n)))))
(neg.f64 (.f64 (+.f64 m n) (.f64 (neg.f64 K) 1/2)))
(+.f64 (/.f64 2 (+.f64 m n)) 0)
(+.f64 (/.f64 2 (+.f64 m n)) (-.f64 (/.f64 2 (+.f64 m n)) (/.f64 2 (+.f64 m n))))
(+.f64 (/.f64 2 (+.f64 m n)) (+.f64 0 (-.f64 (/.f64 2 (+.f64 m n)) (/.f64 2 (+.f64 m n)))))
(+.f64 (/.f64 2 (+.f64 m n)) (-.f64 0 (-.f64 (/.f64 2 (+.f64 m n)) (/.f64 2 (+.f64 m n)))))
(+.f64 0 (/.f64 2 (+.f64 m n)))
(+.f64 (neg.f64 (/.f64 2 (+.f64 m n))) (/.f64 4 (+.f64 m n)))
(+.f64 (/.f64 4 (+.f64 m n)) (neg.f64 (/.f64 2 (+.f64 m n))))
(+.f64 (-.f64 (/.f64 2 (+.f64 m n)) (/.f64 2 (+.f64 m n))) (/.f64 2 (+.f64 m n)))
(+.f64 (+.f64 (/.f64 4 (+.f64 m n)) (/.f64 4 (+.f64 m n))) (-.f64 0 (+.f64 (/.f64 2 (+.f64 m n)) (/.f64 4 (+.f64 m n)))))
(-.f64 (/.f64 2 (+.f64 m n)) 0)
(-.f64 (/.f64 2 (+.f64 m n)) (-.f64 (/.f64 2 (+.f64 m n)) (/.f64 2 (+.f64 m n))))
(-.f64 0 (neg.f64 (/.f64 2 (+.f64 m n))))
(-.f64 (neg.f64 (/.f64 2 (+.f64 m n))) (neg.f64 (/.f64 4 (+.f64 m n))))
(-.f64 (/.f64 4 (+.f64 m n)) (/.f64 2 (+.f64 m n)))
(-.f64 (+.f64 (/.f64 2 (+.f64 m n)) (/.f64 4 (+.f64 m n))) (/.f64 4 (+.f64 m n)))
(-.f64 (+.f64 (/.f64 4 (+.f64 m n)) (/.f64 4 (+.f64 m n))) (+.f64 (/.f64 2 (+.f64 m n)) (/.f64 4 (+.f64 m n))))
(*.f64 2 (/.f64 1 (+.f64 m n)))
(.f64 2 (.f64 4 (/.f64 1/2 (*.f64 (+.f64 m n) 2))))
(*.f64 (/.f64 2 (+.f64 m n)) 1)
(*.f64 1 (/.f64 2 (+.f64 m n)))
(*.f64 4 (/.f64 1/2 (+.f64 m n)))
(*.f64 1/2 (/.f64 4 (+.f64 m n)))
(*.f64 (/.f64 1/2 (+.f64 m n)) 4)
(*.f64 -1 (neg.f64 (/.f64 2 (+.f64 m n))))
(.f64 -1 (.f64 4 (neg.f64 (/.f64 1/2 (+.f64 m n)))))
(.f64 -1 (.f64 4 (/.f64 1/2 (neg.f64 (+.f64 m n)))))
(*.f64 (neg.f64 (/.f64 2 (+.f64 m n))) -1)
(*.f64 (/.f64 1 (+.f64 m n)) 2)
(*.f64 (/.f64 4 (+.f64 m n)) 1/2)
(*.f64 -4 (neg.f64 (/.f64 1/2 (+.f64 m n))))
(*.f64 -4 (/.f64 1/2 (neg.f64 (+.f64 m n))))
(.f64 -4 (.f64 1 (neg.f64 (/.f64 1/2 (+.f64 m n)))))
(.f64 -4 (.f64 1 (/.f64 1/2 (neg.f64 (+.f64 m n)))))
(.f64 8 (/.f64 1/2 (.f64 (+.f64 m n) 2)))
(.f64 8 (.f64 1 (/.f64 1/2 (*.f64 (+.f64 m n) 2))))
(*.f64 (-.f64 (neg.f64 (/.f64 2 (+.f64 m n))) (/.f64 2 (+.f64 m n))) -1/2)
(neg.f64 (neg.f64 (/.f64 2 (+.f64 m n))))

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

localize72.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
✓	0.2b	(/.f64 (+.f64 m (+.f64 n n)) (/.f64 2 K))
✓	4.9b	(-.f64 (/.f64 (+.f64 m (+.f64 n n)) (/.f64 2 K)) (.f64 K (.f64 n 1/2)))
✓	31.9b	(cos.f64 (-.f64 (-.f64 (/.f64 (+.f64 m (+.f64 n n)) (/.f64 2 K)) (.f64 K (.f64 n 1/2))) M))

Compiler

Compiled 196 to 87 computations (55.6% saved)

series12.0ms (0.1%)

Counts

3 → 120

Calls

30 calls:

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

rewrite74.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1492×	`rational.json-1`
1492×	`rational.json-2`
1492×	`rational.json-4`
1492×	`rational.json-3`
986×	`rational.json-simplify-44`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	121
1	121	121
2	491	73
3	3272	67

Stop Event

1×	node limit

Counts

3 → 254

Calls

Call 1

Inputs

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

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

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 K (+.f64 n (/.f64 m 2))) (*.f64 K (*.f64 n -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 K (+.f64 n (/.f64 m 2))) (*.f64 (*.f64 K 1/2) (-.f64 (+.f64 m n) (+.f64 m (+.f64 n n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 K (+.f64 n (/.f64 m 2))) (-.f64 (*.f64 0 (*.f64 (+.f64 m (+.f64 n n)) 1/2)) (*.f64 K (*.f64 n 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 K (+.f64 n (/.f64 m 2))) (-.f64 (*.f64 (*.f64 K 1/2) (-.f64 (+.f64 m n) n)) (/.f64 K (/.f64 2 (+.f64 m n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 K (+.f64 n (/.f64 m 2))) (/.f64 -1 (/.f64 (/.f64 2 K) n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 K (+.f64 n (/.f64 m 2))) (/.f64 -1 (/.f64 (/.f64 2 n) K)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 K (+.f64 n (/.f64 m 2))) (/.f64 -1 (/.f64 (/.f64 1 K) (*.f64 n 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 K (+.f64 n 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(*.f64 n 1/2) (*.f64 m 1/4)) (/.f64 1 (/.f64 1/2 K)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 n 1/2) (*.f64 m 1/4)) (-.f64 (*.f64 (+.f64 K K) 2) (+.f64 K K)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 n 1/2) (*.f64 m 1/4)) (-.f64 (*.f64 (+.f64 K K) 2) (/.f64 1 (/.f64 1/2 K))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 n 1/2) (*.f64 m 1/4)) (+.f64 0 (/.f64 1 (/.f64 1/2 K))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 K K) (+.f64 (*.f64 n 1/2) (*.f64 m 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 K K) (+.f64 (*.f64 m 1/4) (/.f64 1/2 (/.f64 2 (+.f64 n n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 K K) (+.f64 (*.f64 n 1/2) (/.f64 1/2 (/.f64 2 m))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (+.f64 (neg.f64 (*.f64 K (+.f64 n (/.f64 m 2)))) (neg.f64 (*.f64 K (+.f64 n (/.f64 m 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (+.f64 (*.f64 (neg.f64 (/.f64 K 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m (+.f64 n n)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (+.f64 m (+.f64 n n)) 2) 2) (/.f64 1/2 (/.f64 4 K)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (+.f64 m (+.f64 n n)) 2) 2) (-.f64 (*.f64 K 1/4) (/.f64 1/2 (/.f64 4 K))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 K) (neg.f64 K)) (/.f64 1/2 (neg.f64 (/.f64 2 (+.f64 m (+.f64 n n))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 (+.f64 m (+.f64 n n))) (neg.f64 (+.f64 m (+.f64 n n)))) (/.f64 1/2 (neg.f64 (/.f64 2 K))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 (*.f64 K (+.f64 n (/.f64 m 2)))) (neg.f64 (*.f64 K (+.f64 n (/.f64 m 2))))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 n 1/2) (*.f64 m 1/4)) 2) (/.f64 1/2 (/.f64 1/2 K)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (neg.f64 (/.f64 2 K))) (+.f64 (neg.f64 (+.f64 m (+.f64 n n))) (neg.f64 (+.f64 m (+.f64 n n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 (/.f64 2 K) (+.f64 m (+.f64 n n)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (neg.f64 (/.f64 2 (+.f64 m (+.f64 n n))))) (+.f64 (neg.f64 K) (neg.f64 K)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 K (+.f64 n (/.f64 m 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 m (+.f64 n n)) (neg.f64 (/.f64 2 K))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 K (neg.f64 (/.f64 2 (+.f64 m (+.f64 n n))))))))))

simplify152.0ms (1%)

Algorithm

1×	egg-herbie

Rules

896×	`rational.json-simplify-50`
694×	`rational.json-simplify-24`
564×	`rational.json-simplify-1`
538×	`rational.json-simplify-67`
536×	`rational.json-simplify-63`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	628	14662
1	1974	12638
2	7913	11166

Stop Event

1×	node limit

Counts

374 → 393

Calls

Call 1

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

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

localize61.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
✓	0.2b	(/.f64 (-.f64 (+.f64 K (+.f64 K K)) (+.f64 (+.f64 K K) (+.f64 K K))) (/.f64 -2 (+.f64 m n)))
✓	0.8b	(-.f64 (+.f64 K (+.f64 K K)) (+.f64 (+.f64 K K) (+.f64 K K)))
✓	32.0b	(cos.f64 (-.f64 (/.f64 (-.f64 (+.f64 K (+.f64 K K)) (+.f64 (+.f64 K K) (+.f64 K K))) (/.f64 -2 (+.f64 m n))) M))

Compiler

Compiled 217 to 65 computations (70% saved)

series9.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

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

rewrite73.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1498×	`rational.json-1`
1498×	`rational.json-2`
1496×	`rational.json-4`
1496×	`rational.json-3`
846×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	157
1	116	55
2	504	53
3	3607	53

Stop Event

1×	node limit

Counts

3 → 224

Calls

Call 1

Inputs

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

(-.f64 (+.f64 K (+.f64 K K)) (+.f64 (+.f64 K K) (+.f64 K K)))

(/.f64 (-.f64 (+.f64 K (+.f64 K K)) (+.f64 (+.f64 K K) (+.f64 K K))) (/.f64 -2 (+.f64 m n)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M)) (*.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M))) (*.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M)) 2) (neg.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M)) 0) (cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M)) (*.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M)) 2) (cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M)) 2) 2) (*.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (+.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M))) (neg.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M))) (neg.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M)))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 -1 (neg.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 K (*.f64 K -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 K K) (*.f64 K -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 K 3) (*.f64 (+.f64 K K) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 K 3) (-.f64 (*.f64 (+.f64 K K) -5/2) (neg.f64 K)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 K 3) (*.f64 1/2 (-.f64 (neg.f64 K) (+.f64 K (*.f64 (+.f64 K K) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 K (*.f64 K 3)) (*.f64 (+.f64 K K) -5/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 K) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 K) (-.f64 K K))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (neg.f64 K))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 K -2) K)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 K K) 3) (neg.f64 (+.f64 K (*.f64 (+.f64 K K) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 K K) 3) (-.f64 (-.f64 (neg.f64 K) (+.f64 K (*.f64 (+.f64 K K) 3))) (neg.f64 K)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 K K) 3) (-.f64 (*.f64 K 3) (+.f64 (+.f64 K (*.f64 K 3)) (*.f64 (+.f64 K K) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 K K) -5/2) (+.f64 K (*.f64 K 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 K K) -2) (*.f64 K 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 K -3) (+.f64 K K))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (+.f64 K K) 3) 2) (neg.f64 (+.f64 K (*.f64 (*.f64 (+.f64 K K) 3) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 K (*.f64 K 3)) 2) (-.f64 (*.f64 K -2) (+.f64 K (*.f64 (+.f64 K K) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 K (*.f64 (+.f64 K K) 3))) (*.f64 (+.f64 K K) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 K (*.f64 (*.f64 (+.f64 K K) 3) 2))) (*.f64 (*.f64 (+.f64 K K) 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 K -2) (+.f64 K (*.f64 (+.f64 K K) 3))) (*.f64 (+.f64 K (*.f64 K 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 K K) (neg.f64 K))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (+.f64 K K) -5/2) (neg.f64 K)) (*.f64 K 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (-.f64 (neg.f64 K) (+.f64 K (*.f64 (+.f64 K K) 3))) (neg.f64 K)) (*.f64 (+.f64 K K) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 K 3) (+.f64 (+.f64 K (*.f64 K 3)) (*.f64 (+.f64 K K) 3))) (*.f64 (+.f64 K K) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 K 1/2) (*.f64 1/2 (*.f64 K -3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 K -3)) (*.f64 K 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 K 3) 1/2) (*.f64 1/2 (*.f64 (+.f64 K K) -5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 (+.f64 K K) -5/2)) (*.f64 (*.f64 K 3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 K) 1/2) (*.f64 (neg.f64 K) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (-.f64 (neg.f64 K) (+.f64 K (*.f64 (+.f64 K K) 3)))) (*.f64 K 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 K -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 K K) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 K) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 K))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 K -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 K -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 (+.f64 K K) 3) (*.f64 (+.f64 K (*.f64 K 3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (*.f64 K -2) 2) (+.f64 K K)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 K)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (+.f64 K K))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (-.f64 (+.f64 K (*.f64 (+.f64 K K) 3)) (*.f64 (+.f64 K K) 5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 K (*.f64 (+.f64 K K) 3)) (*.f64 (+.f64 K K) 5/2)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 K -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 K) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 -1 K))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 1 (*.f64 K -2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 K)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) (*.f64 0 (*.f64 (+.f64 m n) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) (*.f64 0 (/.f64 K 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) (neg.f64 (*.f64 0 (*.f64 (+.f64 m n) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) (neg.f64 (*.f64 0 (/.f64 K 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) (*.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) (-.f64 K K))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) (-.f64 (*.f64 0 (*.f64 (+.f64 m n) -1/4)) (*.f64 0 (*.f64 (+.f64 m n) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 m n) (/.f64 K 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(+.f64 (+.f64 K K) (*.f64 (*.f64 K -2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 K 2) (+.f64 m n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 K (*.f64 (+.f64 m n) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1/2 (/.f64 (/.f64 2 K) (+.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) (/.f64 1/2 (/.f64 (/.f64 2 K) (+.f64 m n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 K 4) (*.f64 (+.f64 m n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 K 4) (/.f64 1 (/.f64 1/2 (+.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 K 4) (-.f64 (*.f64 (*.f64 (+.f64 m n) 2) 2) (*.f64 (+.f64 m n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 K 4) (-.f64 (*.f64 (*.f64 (+.f64 m n) 2) 2) (/.f64 1 (/.f64 1/2 (+.f64 m n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 K 4) (+.f64 0 (/.f64 1 (/.f64 1/2 (+.f64 m n)))))))) (#(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 (+.f64 K K) (/.f64 -2 (+.f64 m n))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 m n) 2) (/.f64 K 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 m n) 2) (-.f64 (/.f64 (*.f64 K -3) 4) (/.f64 1/2 (/.f64 -2 (+.f64 K (*.f64 K 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 (+.f64 K K) (/.f64 -2 (+.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (+.f64 m n) -1/4)) (+.f64 K K))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (+.f64 m n) -1/4)) (-.f64 (+.f64 K (*.f64 (+.f64 K K) 3)) (*.f64 (+.f64 K K) 5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (*.f64 (+.f64 m n) (*.f64 K -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (+.f64 K (*.f64 (+.f64 K K) 3)) (*.f64 (+.f64 K K) 5/2)) (neg.f64 (*.f64 (+.f64 m n) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (+.f64 m n) -1/2)) K)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 2 K)) (+.f64 m n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 -2 (+.f64 m n))) K)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 2 (+.f64 m n))) K)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1/2 (+.f64 m n))) (/.f64 K 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 1/2 (+.f64 m n))) (*.f64 (/.f64 K 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 -4 (+.f64 m n))) (*.f64 (*.f64 K -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 m n) (*.f64 K -2)) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 K -2) 2) (/.f64 1/2 (/.f64 -4 (+.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 K -2) 2) (-.f64 (*.f64 (+.f64 m n) -1/4) (/.f64 1/2 (/.f64 -4 (+.f64 m n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 (+.f64 m n)) (neg.f64 (+.f64 m n))) (/.f64 1/2 (neg.f64 (/.f64 2 K))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 K 4) 2) (/.f64 1/2 (/.f64 1/2 (+.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (/.f64 (/.f64 2 K) (+.f64 m n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (neg.f64 (/.f64 2 K))) (+.f64 (neg.f64 (+.f64 m n)) (neg.f64 (+.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 K (*.f64 (+.f64 m n) -1/2)))))))

simplify160.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1118×	`rational.json-simplify-33`
900×	`rational.json-simplify-24`
864×	`rational.json-simplify-21`
808×	`rational.json-simplify-50`
798×	`rational.json-simplify-23`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	515	12966
1	1518	10404
2	6412	10288

Stop Event

1×	node limit

Counts

320 → 403

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 (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) M))
(+.f64 (.f64 1/2 (.f64 (sin.f64 (-.f64 (.f64 -1/2 (.f64 n (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) M)) (.f64 m (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K))))) (cos.f64 (-.f64 (.f64 -1/2 (.f64 n (-.f64 (+.f64 K (.f64 2 K)) (*.f64 4 K)))) M)))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (-.f64 (.f64 -1/2 (.f64 n (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) M)) (.f64 (pow.f64 m 2) (pow.f64 (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)) 2)))) (+.f64 (.f64 1/2 (.f64 (sin.f64 (-.f64 (.f64 -1/2 (.f64 n (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) M)) (.f64 m (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K))))) (cos.f64 (-.f64 (.f64 -1/2 (.f64 n (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) M))))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (-.f64 (.f64 -1/2 (.f64 n (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) M)) (.f64 (pow.f64 m 2) (pow.f64 (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)) 2)))) (+.f64 (.f64 1/2 (.f64 (sin.f64 (-.f64 (.f64 -1/2 (.f64 n (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) M)) (.f64 m (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K))))) (+.f64 (.f64 -1/48 (.f64 (sin.f64 (-.f64 (.f64 -1/2 (.f64 n (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) M)) (.f64 (pow.f64 m 3) (pow.f64 (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)) 3)))) (cos.f64 (-.f64 (.f64 -1/2 (.f64 n (-.f64 (+.f64 K (.f64 2 K)) (*.f64 4 K)))) M)))))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 (+.f64 n m) (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) M))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 (+.f64 n m) (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) M))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 (+.f64 n m) (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) M))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 (+.f64 n m) (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) M))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 (-.f64 n (.f64 -1 m)) (-.f64 (+.f64 K (.f64 2 K)) (*.f64 4 K)))) M))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 (-.f64 n (.f64 -1 m)) (-.f64 (+.f64 K (.f64 2 K)) (*.f64 4 K)))) M))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 (-.f64 n (.f64 -1 m)) (-.f64 (+.f64 K (.f64 2 K)) (*.f64 4 K)))) M))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 (-.f64 n (.f64 -1 m)) (-.f64 (+.f64 K (.f64 2 K)) (*.f64 4 K)))) M))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 m (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) M))
(+.f64 (.f64 1/2 (.f64 n (.f64 (sin.f64 (-.f64 (.f64 -1/2 (.f64 m (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) M)) (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K))))) (cos.f64 (-.f64 (.f64 -1/2 (.f64 m (-.f64 (+.f64 K (.f64 2 K)) (*.f64 4 K)))) M)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (pow.f64 (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)) 2) (cos.f64 (-.f64 (.f64 -1/2 (.f64 m (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) M))))) (+.f64 (.f64 1/2 (.f64 n (.f64 (sin.f64 (-.f64 (.f64 -1/2 (.f64 m (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) M)) (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K))))) (cos.f64 (-.f64 (.f64 -1/2 (.f64 m (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) M))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (pow.f64 (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)) 2) (cos.f64 (-.f64 (.f64 -1/2 (.f64 m (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) M))))) (+.f64 (.f64 1/2 (.f64 n (.f64 (sin.f64 (-.f64 (.f64 -1/2 (.f64 m (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) M)) (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K))))) (+.f64 (.f64 -1/48 (.f64 (pow.f64 n 3) (.f64 (sin.f64 (-.f64 (.f64 -1/2 (.f64 m (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) M)) (pow.f64 (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)) 3)))) (cos.f64 (-.f64 (.f64 -1/2 (.f64 m (-.f64 (+.f64 K (.f64 2 K)) (*.f64 4 K)))) M)))))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 (+.f64 n m) (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) M))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 (+.f64 n m) (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) M))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 (+.f64 n m) (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) M))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 (+.f64 n m) (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) M))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 (-.f64 m (.f64 -1 n)) (-.f64 (+.f64 K (.f64 2 K)) (*.f64 4 K)))) M))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 (-.f64 m (.f64 -1 n)) (-.f64 (+.f64 K (.f64 2 K)) (*.f64 4 K)))) M))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 (-.f64 m (.f64 -1 n)) (-.f64 (+.f64 K (.f64 2 K)) (*.f64 4 K)))) M))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 (-.f64 m (.f64 -1 n)) (-.f64 (+.f64 K (.f64 2 K)) (*.f64 4 K)))) M))
(cos.f64 (.f64 -1/2 (.f64 (+.f64 n m) (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))))
(+.f64 (.f64 (sin.f64 (.f64 -1/2 (.f64 (+.f64 n m) (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K))))) M) (cos.f64 (.f64 -1/2 (.f64 (+.f64 n m) (-.f64 (+.f64 K (.f64 2 K)) (*.f64 4 K))))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 -1/2 (.f64 (+.f64 n m) (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K))))) (pow.f64 M 2))) (+.f64 (.f64 (sin.f64 (.f64 -1/2 (.f64 (+.f64 n m) (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K))))) M) (cos.f64 (.f64 -1/2 (.f64 (+.f64 n m) (-.f64 (+.f64 K (.f64 2 K)) (*.f64 4 K)))))))
(+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 -1/2 (.f64 (+.f64 n m) (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K))))) (pow.f64 M 2))) (+.f64 (.f64 (sin.f64 (.f64 -1/2 (.f64 (+.f64 n m) (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K))))) M) (+.f64 (cos.f64 (.f64 -1/2 (.f64 (+.f64 n m) (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K))))) (.f64 -1/6 (.f64 (sin.f64 (.f64 -1/2 (.f64 (+.f64 n m) (-.f64 (+.f64 K (.f64 2 K)) (*.f64 4 K))))) (pow.f64 M 3))))))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 (+.f64 n m) (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) M))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 (+.f64 n m) (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) M))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 (+.f64 n m) (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) M))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 (+.f64 n m) (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) M))
(cos.f64 (+.f64 (.f64 -1/2 (.f64 (+.f64 n m) (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) (*.f64 -1 M)))
(cos.f64 (+.f64 (.f64 -1/2 (.f64 (+.f64 n m) (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) (*.f64 -1 M)))
(cos.f64 (+.f64 (.f64 -1/2 (.f64 (+.f64 n m) (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) (*.f64 -1 M)))
(cos.f64 (+.f64 (.f64 -1/2 (.f64 (+.f64 n m) (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) (*.f64 -1 M)))
(*.f64 -1 K)
(*.f64 -1 K)
(*.f64 -1 K)
(*.f64 -1 K)
(*.f64 -1 K)
(*.f64 -1 K)
(*.f64 -1 K)
(*.f64 -1 K)
(*.f64 -1 K)
(*.f64 -1 K)
(*.f64 -1 K)
(*.f64 -1 K)
(.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 (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K))))
(+.f64 (.f64 -1/2 (.f64 n (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) (.f64 -1/2 (.f64 m (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))))
(+.f64 (.f64 -1/2 (.f64 n (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) (.f64 -1/2 (.f64 m (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))))
(+.f64 (.f64 -1/2 (.f64 n (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) (.f64 -1/2 (.f64 m (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))))
(.f64 -1/2 (.f64 m (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K))))
(+.f64 (.f64 -1/2 (.f64 n (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) (.f64 -1/2 (.f64 m (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))))
(+.f64 (.f64 -1/2 (.f64 n (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) (.f64 -1/2 (.f64 m (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))))
(+.f64 (.f64 -1/2 (.f64 n (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) (.f64 -1/2 (.f64 m (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))))
(.f64 -1/2 (.f64 m (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K))))
(+.f64 (.f64 -1/2 (.f64 n (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) (.f64 -1/2 (.f64 m (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))))
(+.f64 (.f64 -1/2 (.f64 n (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) (.f64 -1/2 (.f64 m (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))))
(+.f64 (.f64 -1/2 (.f64 n (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) (.f64 -1/2 (.f64 m (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))))
(.f64 -1/2 (.f64 m (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K))))
(+.f64 (.f64 -1/2 (.f64 n (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) (.f64 -1/2 (.f64 m (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))))
(+.f64 (.f64 -1/2 (.f64 n (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) (.f64 -1/2 (.f64 m (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))))
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(-.f64 (/.f64 (.f64 (.f64 (+.f64 K K) 3) 2) (/.f64 -2 (+.f64 m n))) (/.f64 (+.f64 K (.f64 (.f64 (+.f64 K K) 3) 2)) (/.f64 -2 (+.f64 m n))))
(-.f64 (/.f64 (.f64 (+.f64 K K) 5/2) (/.f64 -4 (+.f64 m n))) (/.f64 (+.f64 K (.f64 (+.f64 K K) 3)) (/.f64 -4 (+.f64 m n))))
(-.f64 (/.f64 (+.f64 K K) (/.f64 -4 (+.f64 m n))) (/.f64 (+.f64 K (*.f64 K 3)) (/.f64 -4 (+.f64 m n))))
(-.f64 (.f64 (.f64 (+.f64 m n) -1/2) (.f64 (.f64 (+.f64 K K) 3) 2)) (.f64 (.f64 (+.f64 m n) -1/2) (+.f64 K (.f64 (.f64 (+.f64 K K) 3) 2))))
(-.f64 (.f64 (.f64 (+.f64 m n) -1/4) (.f64 (+.f64 K K) 5/2)) (.f64 (+.f64 K (.f64 (+.f64 K K) 3)) (.f64 (+.f64 m n) -1/4)))
(-.f64 (.f64 (.f64 (.f64 K 3) (neg.f64 (+.f64 m n))) 2) (+.f64 (.f64 (.f64 K 3) (neg.f64 (+.f64 m n))) (.f64 (.f64 (+.f64 m n) -1/2) (+.f64 K (.f64 (+.f64 K K) 3)))))
(-.f64 (.f64 (.f64 (.f64 K -2) (neg.f64 (+.f64 m n))) 2) (+.f64 (.f64 (.f64 K -2) (neg.f64 (+.f64 m n))) (/.f64 (.f64 K 3) (/.f64 2 (+.f64 m n)))))
(.f64 K (neg.f64 (.f64 (+.f64 m n) -1/2)))
(*.f64 K (/.f64 -1 (/.f64 -2 (+.f64 m n))))
(*.f64 K (/.f64 1 (/.f64 2 (+.f64 m n))))
(.f64 (+.f64 K K) (neg.f64 (.f64 (+.f64 m n) -1/4)))
(.f64 (neg.f64 K) (.f64 (+.f64 m n) -1/2))
(*.f64 (+.f64 m n) (/.f64 K 2))
(*.f64 (+.f64 m n) (/.f64 1 (/.f64 2 K)))
(.f64 (.f64 (+.f64 m n) (/.f64 K 2)) 1)
(.f64 1 (.f64 (+.f64 m n) (/.f64 K 2)))
(.f64 (.f64 K -2) (*.f64 (+.f64 m n) -1/4))
(.f64 (.f64 (+.f64 m n) -1/2) (neg.f64 K))
(.f64 (.f64 (neg.f64 K) (neg.f64 (+.f64 m n))) 1/2)
(.f64 1/2 (.f64 (neg.f64 K) (neg.f64 (+.f64 m n))))
(.f64 1/2 (-.f64 (.f64 (.f64 K 3) (neg.f64 (+.f64 m n))) (/.f64 (.f64 (+.f64 K (*.f64 K 3)) 2) (/.f64 -2 (+.f64 m n)))))
(.f64 1/2 (-.f64 (.f64 (.f64 K 3) (neg.f64 (+.f64 m n))) (/.f64 (.f64 (+.f64 m n) 2) (/.f64 -2 (+.f64 K (*.f64 K 3))))))
(.f64 1/2 (-.f64 (.f64 (.f64 K 3) (neg.f64 (+.f64 m n))) (.f64 (+.f64 K (*.f64 K 3)) (neg.f64 (+.f64 m n)))))
(.f64 1/2 (+.f64 (.f64 (.f64 K 3) (neg.f64 (+.f64 m n))) (/.f64 (.f64 (+.f64 K (*.f64 K 3)) 2) (/.f64 2 (+.f64 m n)))))
(.f64 (.f64 (+.f64 m n) -1/4) (*.f64 K -2))
(.f64 (.f64 (+.f64 m n) -1/4) (-.f64 (.f64 (+.f64 K K) 3) (.f64 (+.f64 K (*.f64 K 3)) 2)))
(.f64 (.f64 (+.f64 m n) -1/4) (+.f64 (+.f64 K K) (.f64 (.f64 K -2) 2)))
(*.f64 (/.f64 K 2) (+.f64 m n))
(.f64 -1 (.f64 K (*.f64 (+.f64 m n) -1/2)))
(*.f64 2 (/.f64 1/2 (/.f64 (/.f64 2 K) (+.f64 m n))))
(.f64 2 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) (/.f64 1/2 (/.f64 (/.f64 2 K) (+.f64 m n)))))
(.f64 (/.f64 K 4) (.f64 (+.f64 m n) 2))
(*.f64 (/.f64 K 4) (/.f64 1 (/.f64 1/2 (+.f64 m n))))
(.f64 (/.f64 K 4) (-.f64 (.f64 (.f64 (+.f64 m n) 2) 2) (.f64 (+.f64 m n) 2)))
(.f64 (/.f64 K 4) (-.f64 (.f64 (*.f64 (+.f64 m n) 2) 2) (/.f64 1 (/.f64 1/2 (+.f64 m n)))))
(*.f64 (/.f64 K 4) (+.f64 0 (/.f64 1 (/.f64 1/2 (+.f64 m n)))))
(.f64 (.f64 K (*.f64 (+.f64 m n) -1/2)) -1)
(*.f64 (/.f64 (+.f64 K K) (/.f64 -2 (+.f64 m n))) -1/2)
(.f64 (.f64 (+.f64 m n) 2) (/.f64 K 4))
(.f64 (.f64 (+.f64 m n) 2) (-.f64 (/.f64 (.f64 K -3) 4) (/.f64 1/2 (/.f64 -2 (+.f64 K (.f64 K 3))))))
(*.f64 -1/2 (/.f64 (+.f64 K K) (/.f64 -2 (+.f64 m n))))
(.f64 (neg.f64 (.f64 (+.f64 m n) -1/4)) (+.f64 K K))
(.f64 (neg.f64 (.f64 (+.f64 m n) -1/4)) (-.f64 (+.f64 K (.f64 (+.f64 K K) 3)) (.f64 (+.f64 K K) 5/2)))
(.f64 -1/4 (.f64 (+.f64 m n) (*.f64 K -2)))
(.f64 (-.f64 (+.f64 K (.f64 (+.f64 K K) 3)) (.f64 (+.f64 K K) 5/2)) (neg.f64 (.f64 (+.f64 m n) -1/4)))
(.f64 (neg.f64 (.f64 (+.f64 m n) -1/2)) K)
(*.f64 (/.f64 1 (/.f64 2 K)) (+.f64 m n))
(*.f64 (/.f64 -1 (/.f64 -2 (+.f64 m n))) K)
(*.f64 (/.f64 1 (/.f64 2 (+.f64 m n))) K)
(*.f64 (/.f64 1 (/.f64 1/2 (+.f64 m n))) (/.f64 K 4))
(.f64 (/.f64 1/2 (/.f64 1/2 (+.f64 m n))) (.f64 (/.f64 K 4) 2))
(.f64 (/.f64 1/2 (/.f64 -4 (+.f64 m n))) (.f64 (*.f64 K -2) 2))
(.f64 (.f64 (+.f64 m n) (*.f64 K -2)) -1/4)
(.f64 (.f64 (*.f64 K -2) 2) (/.f64 1/2 (/.f64 -4 (+.f64 m n))))
(.f64 (.f64 (.f64 K -2) 2) (-.f64 (.f64 (+.f64 m n) -1/4) (/.f64 1/2 (/.f64 -4 (+.f64 m n)))))
(*.f64 (+.f64 (neg.f64 (+.f64 m n)) (neg.f64 (+.f64 m n))) (/.f64 1/2 (neg.f64 (/.f64 2 K))))
(.f64 (.f64 (/.f64 K 4) 2) (/.f64 1/2 (/.f64 1/2 (+.f64 m n))))
(*.f64 (/.f64 1/2 (/.f64 (/.f64 2 K) (+.f64 m n))) 2)
(*.f64 (/.f64 1/2 (neg.f64 (/.f64 2 K))) (+.f64 (neg.f64 (+.f64 m n)) (neg.f64 (+.f64 m n))))
(neg.f64 (.f64 K (.f64 (+.f64 m n) -1/2)))

Outputs
(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 -1/2 (.f64 (sin.f64 (neg.f64 M)) (*.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 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (neg.f64 M)) (.f64 K (+.f64 n m)))) (.f64 (cos.f64 (neg.f64 M)) (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2))))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (neg.f64 M)) (.f64 K (+.f64 n m)))) (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 (+.f64 n m) 2) (.f64 -1/8 (pow.f64 K 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 (neg.f64 M)) (+.f64 (.f64 (cos.f64 (neg.f64 M)) (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))) (+.f64 (.f64 1/48 (.f64 (sin.f64 (neg.f64 M)) (.f64 (pow.f64 K 3) (pow.f64 (+.f64 n m) 3)))) (.f64 -1/2 (.f64 (sin.f64 (neg.f64 M)) (*.f64 K (+.f64 n m)))))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (neg.f64 M)) (.f64 K (+.f64 n m)))) (+.f64 (.f64 (pow.f64 K 3) (.f64 (sin.f64 (neg.f64 M)) (.f64 1/48 (pow.f64 (+.f64 n m) 3)))) (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 (+.f64 n m) 2) (*.f64 -1/8 (pow.f64 K 2)))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 1/2 (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 1/2 (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 1/2 (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 1/2 (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 1/2 (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 1/2 (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 1/2 (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 1/2 (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 n (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) M))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 n (+.f64 K (-.f64 (.f64 K 2) (.f64 K 4))))) M))
(cos.f64 (-.f64 (.f64 (+.f64 K (.f64 K -2)) (*.f64 -1/2 n)) M))
(+.f64 (.f64 1/2 (.f64 (sin.f64 (-.f64 (.f64 -1/2 (.f64 n (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) M)) (.f64 m (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K))))) (cos.f64 (-.f64 (.f64 -1/2 (.f64 n (-.f64 (+.f64 K (.f64 2 K)) (*.f64 4 K)))) M)))
(+.f64 (cos.f64 (-.f64 (.f64 -1/2 (.f64 n (+.f64 K (-.f64 (.f64 K 2) (.f64 K 4))))) M)) (.f64 1/2 (.f64 (sin.f64 (-.f64 (.f64 -1/2 (.f64 n (+.f64 K (-.f64 (.f64 K 2) (.f64 K 4))))) M)) (.f64 m (+.f64 K (-.f64 (.f64 K 2) (*.f64 K 4)))))))
(+.f64 (cos.f64 (-.f64 (.f64 (+.f64 K (.f64 K -2)) (.f64 -1/2 n)) M)) (.f64 1/2 (.f64 (sin.f64 (-.f64 (.f64 (+.f64 K (.f64 K -2)) (.f64 -1/2 n)) M)) (.f64 m (+.f64 K (.f64 K -2))))))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (-.f64 (.f64 -1/2 (.f64 n (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) M)) (.f64 (pow.f64 m 2) (pow.f64 (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)) 2)))) (+.f64 (.f64 1/2 (.f64 (sin.f64 (-.f64 (.f64 -1/2 (.f64 n (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) M)) (.f64 m (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K))))) (cos.f64 (-.f64 (.f64 -1/2 (.f64 n (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) M))))
(+.f64 (.f64 1/2 (.f64 (sin.f64 (-.f64 (.f64 -1/2 (.f64 n (+.f64 K (-.f64 (.f64 K 2) (.f64 K 4))))) M)) (.f64 m (+.f64 K (-.f64 (.f64 K 2) (.f64 K 4)))))) (+.f64 (.f64 (cos.f64 (-.f64 (.f64 -1/2 (.f64 n (+.f64 K (-.f64 (.f64 K 2) (.f64 K 4))))) M)) (.f64 -1/8 (.f64 (pow.f64 m 2) (pow.f64 (+.f64 K (-.f64 (.f64 K 2) (.f64 K 4))) 2)))) (cos.f64 (-.f64 (.f64 -1/2 (.f64 n (+.f64 K (-.f64 (.f64 K 2) (.f64 K 4))))) M))))
(+.f64 (cos.f64 (-.f64 (.f64 (+.f64 K (.f64 K -2)) (.f64 -1/2 n)) M)) (+.f64 (.f64 (cos.f64 (-.f64 (.f64 (+.f64 K (.f64 K -2)) (.f64 -1/2 n)) M)) (.f64 -1/8 (.f64 (pow.f64 m 2) (pow.f64 (+.f64 K (.f64 K -2)) 2)))) (.f64 1/2 (.f64 (sin.f64 (-.f64 (.f64 (+.f64 K (.f64 K -2)) (.f64 -1/2 n)) M)) (.f64 m (+.f64 K (*.f64 K -2)))))))
(+.f64 (.f64 -1/8 (.f64 (cos.f64 (-.f64 (.f64 -1/2 (.f64 n (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) M)) (.f64 (pow.f64 m 2) (pow.f64 (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)) 2)))) (+.f64 (.f64 1/2 (.f64 (sin.f64 (-.f64 (.f64 -1/2 (.f64 n (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) M)) (.f64 m (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K))))) (+.f64 (.f64 -1/48 (.f64 (sin.f64 (-.f64 (.f64 -1/2 (.f64 n (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) M)) (.f64 (pow.f64 m 3) (pow.f64 (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)) 3)))) (cos.f64 (-.f64 (.f64 -1/2 (.f64 n (-.f64 (+.f64 K (.f64 2 K)) (*.f64 4 K)))) M)))))
(+.f64 (.f64 1/2 (.f64 (sin.f64 (-.f64 (.f64 -1/2 (.f64 n (+.f64 K (-.f64 (.f64 K 2) (.f64 K 4))))) M)) (.f64 m (+.f64 K (-.f64 (.f64 K 2) (.f64 K 4)))))) (+.f64 (.f64 (cos.f64 (-.f64 (.f64 -1/2 (.f64 n (+.f64 K (-.f64 (.f64 K 2) (.f64 K 4))))) M)) (.f64 -1/8 (.f64 (pow.f64 m 2) (pow.f64 (+.f64 K (-.f64 (.f64 K 2) (.f64 K 4))) 2)))) (+.f64 (cos.f64 (-.f64 (.f64 -1/2 (.f64 n (+.f64 K (-.f64 (.f64 K 2) (.f64 K 4))))) M)) (.f64 (sin.f64 (-.f64 (.f64 -1/2 (.f64 n (+.f64 K (-.f64 (.f64 K 2) (.f64 K 4))))) M)) (.f64 -1/48 (.f64 (pow.f64 m 3) (pow.f64 (+.f64 K (-.f64 (.f64 K 2) (*.f64 K 4))) 3)))))))
(+.f64 (.f64 1/2 (.f64 (sin.f64 (-.f64 (.f64 (+.f64 K (.f64 K -2)) (.f64 -1/2 n)) M)) (.f64 m (+.f64 K (.f64 K -2))))) (+.f64 (cos.f64 (-.f64 (.f64 (+.f64 K (.f64 K -2)) (.f64 -1/2 n)) M)) (+.f64 (.f64 (cos.f64 (-.f64 (.f64 (+.f64 K (.f64 K -2)) (.f64 -1/2 n)) M)) (.f64 -1/8 (.f64 (pow.f64 m 2) (pow.f64 (+.f64 K (.f64 K -2)) 2)))) (.f64 (sin.f64 (-.f64 (.f64 (+.f64 K (.f64 K -2)) (.f64 -1/2 n)) M)) (.f64 (pow.f64 (+.f64 K (.f64 K -2)) 3) (.f64 -1/48 (pow.f64 m 3)))))))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 (+.f64 n m) (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) M))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 (+.f64 K (-.f64 (.f64 K 2) (.f64 K 4))) (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 (+.f64 K (*.f64 K -2)) (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 (+.f64 n m) (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) M))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 (+.f64 K (-.f64 (.f64 K 2) (.f64 K 4))) (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 (+.f64 K (*.f64 K -2)) (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 (+.f64 n m) (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) M))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 (+.f64 K (-.f64 (.f64 K 2) (.f64 K 4))) (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 (+.f64 K (*.f64 K -2)) (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 (+.f64 n m) (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) M))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 (+.f64 K (-.f64 (.f64 K 2) (.f64 K 4))) (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 (+.f64 K (*.f64 K -2)) (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 (-.f64 n (.f64 -1 m)) (-.f64 (+.f64 K (.f64 2 K)) (*.f64 4 K)))) M))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 (+.f64 K (-.f64 (.f64 K 2) (.f64 K 4))) (-.f64 n (*.f64 m -1)))) M))
(cos.f64 (-.f64 (.f64 (-.f64 n (neg.f64 m)) (.f64 -1/2 (+.f64 K (*.f64 K -2)))) M))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 (-.f64 n (.f64 -1 m)) (-.f64 (+.f64 K (.f64 2 K)) (*.f64 4 K)))) M))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 (+.f64 K (-.f64 (.f64 K 2) (.f64 K 4))) (-.f64 n (*.f64 m -1)))) M))
(cos.f64 (-.f64 (.f64 (-.f64 n (neg.f64 m)) (.f64 -1/2 (+.f64 K (*.f64 K -2)))) M))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 (-.f64 n (.f64 -1 m)) (-.f64 (+.f64 K (.f64 2 K)) (*.f64 4 K)))) M))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 (+.f64 K (-.f64 (.f64 K 2) (.f64 K 4))) (-.f64 n (*.f64 m -1)))) M))
(cos.f64 (-.f64 (.f64 (-.f64 n (neg.f64 m)) (.f64 -1/2 (+.f64 K (*.f64 K -2)))) M))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 (-.f64 n (.f64 -1 m)) (-.f64 (+.f64 K (.f64 2 K)) (*.f64 4 K)))) M))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 (+.f64 K (-.f64 (.f64 K 2) (.f64 K 4))) (-.f64 n (*.f64 m -1)))) M))
(cos.f64 (-.f64 (.f64 (-.f64 n (neg.f64 m)) (.f64 -1/2 (+.f64 K (*.f64 K -2)))) M))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 m (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) M))
(cos.f64 (-.f64 (.f64 -1/2 (.f64 m (+.f64 K (-.f64 (.f64 K 2) (.f64 K 4))))) M))
(cos.f64 (-.f64 (.f64 m (.f64 -1/2 (+.f64 K (*.f64 K -2)))) M))
(+.f64 (.f64 1/2 (.f64 n (.f64 (sin.f64 (-.f64 (.f64 -1/2 (.f64 m (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K)))) M)) (-.f64 (+.f64 K (.f64 2 K)) (.f64 4 K))))) (cos.f64 (-.f64 (.f64 -1/2 (.f64 m (-.f64 (+.f64 K (.f64 2 K)) (*.f64 4 K)))) M)))
(+.f64 (cos.f64 (-.f64 (.f64 -1/2 (.f64 m (+.f64 K (-.f64 (.f64 K 2) (.f64 K 4))))) M)) (.f64 1/2 (.f64 (sin.f64 (-.f64 (.f64 -1/2 (.f64 m (+.f64 K (-.f64 (.f64 K 2) (.f64 K 4))))) M)) (.f64 n (+.f64 K (-.f64 (.f64 K 2) (*.f64 K 4)))))))
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(.f64 (.f64 2 (+.f64 n m)) (-.f64 (.f64 -3 (/.f64 K 4)) (/.f64 (+.f64 K (.f64 K 3)) -4)))
(.f64 (+.f64 n m) (.f64 (-.f64 (.f64 K -3/4) (/.f64 (+.f64 K (.f64 K 3)) -4)) 2))
(*.f64 -1/2 (/.f64 (+.f64 K K) (/.f64 -2 (+.f64 m n))))
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 K (.f64 1/2 (+.f64 n m)))
(.f64 (neg.f64 (.f64 (+.f64 m n) -1/4)) (+.f64 K K))
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 K (.f64 1/2 (+.f64 n m)))
(.f64 (neg.f64 (.f64 (+.f64 m n) -1/4)) (-.f64 (+.f64 K (.f64 (+.f64 K K) 3)) (.f64 (+.f64 K K) 5/2)))
(-.f64 (.f64 (.f64 (+.f64 K K) 5/2) (.f64 (+.f64 n m) -1/4)) (.f64 (+.f64 K (.f64 3 (+.f64 K K))) (.f64 (+.f64 n m) -1/4)))
(.f64 (+.f64 K (.f64 1/2 (+.f64 K K))) (*.f64 (+.f64 n m) 1/4))
(.f64 -1/4 (.f64 (+.f64 m n) (*.f64 K -2)))
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 K (.f64 1/2 (+.f64 n m)))
(.f64 (-.f64 (+.f64 K (.f64 (+.f64 K K) 3)) (.f64 (+.f64 K K) 5/2)) (neg.f64 (.f64 (+.f64 m n) -1/4)))
(-.f64 (.f64 (.f64 (+.f64 K K) 5/2) (.f64 (+.f64 n m) -1/4)) (.f64 (+.f64 K (.f64 3 (+.f64 K K))) (.f64 (+.f64 n m) -1/4)))
(.f64 (+.f64 K (.f64 1/2 (+.f64 K K))) (*.f64 (+.f64 n m) 1/4))
(.f64 (neg.f64 (.f64 (+.f64 m n) -1/2)) K)
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 K (.f64 1/2 (+.f64 n m)))
(*.f64 (/.f64 1 (/.f64 2 K)) (+.f64 m n))
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 K (.f64 1/2 (+.f64 n m)))
(*.f64 (/.f64 -1 (/.f64 -2 (+.f64 m n))) K)
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 K (.f64 1/2 (+.f64 n m)))
(*.f64 (/.f64 1 (/.f64 2 (+.f64 m n))) K)
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 K (.f64 1/2 (+.f64 n m)))
(*.f64 (/.f64 1 (/.f64 1/2 (+.f64 m n))) (/.f64 K 4))
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 K (.f64 1/2 (+.f64 n m)))
(.f64 (/.f64 1/2 (/.f64 1/2 (+.f64 m n))) (.f64 (/.f64 K 4) 2))
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 K (.f64 1/2 (+.f64 n m)))
(.f64 (/.f64 1/2 (/.f64 -4 (+.f64 m n))) (.f64 (*.f64 K -2) 2))
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 K (.f64 1/2 (+.f64 n m)))
(.f64 (.f64 (+.f64 m n) (*.f64 K -2)) -1/4)
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 K (.f64 1/2 (+.f64 n m)))
(.f64 (.f64 (*.f64 K -2) 2) (/.f64 1/2 (/.f64 -4 (+.f64 m n))))
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 K (.f64 1/2 (+.f64 n m)))
(.f64 (.f64 (.f64 K -2) 2) (-.f64 (.f64 (+.f64 m n) -1/4) (/.f64 1/2 (/.f64 -4 (+.f64 m n)))))
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 K (.f64 1/2 (+.f64 n m)))
(*.f64 (+.f64 (neg.f64 (+.f64 m n)) (neg.f64 (+.f64 m n))) (/.f64 1/2 (neg.f64 (/.f64 2 K))))
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 K (.f64 1/2 (+.f64 n m)))
(.f64 (.f64 (/.f64 K 4) 2) (/.f64 1/2 (/.f64 1/2 (+.f64 m n))))
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 K (.f64 1/2 (+.f64 n m)))
(*.f64 (/.f64 1/2 (/.f64 (/.f64 2 K) (+.f64 m n))) 2)
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 K (.f64 1/2 (+.f64 n m)))
(*.f64 (/.f64 1/2 (neg.f64 (/.f64 2 K))) (+.f64 (neg.f64 (+.f64 m n)) (neg.f64 (+.f64 m n))))
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 K (.f64 1/2 (+.f64 n m)))
(neg.f64 (.f64 K (.f64 (+.f64 m n) -1/2)))
(.f64 1/2 (.f64 K (+.f64 n m)))
(.f64 K (.f64 1/2 (+.f64 n m)))

eval1.1s (7.4%)

Compiler: Compiled 78787 to 39578 computations (49.8% saved)

prune1.4s (9.2%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	2080	23	2103
Fresh	11	0	11
Picked	1	0	1
Done	4	0	4
Total	2096	23	2119

Error

2.1b

Counts

2119 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	32.5b	(.f64 (+.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (.f64 K m)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
	32.3b	(*.f64 (cos.f64 (-.f64 (/.f64 (-.f64 (+.f64 K (+.f64 K K)) (+.f64 (+.f64 K K) (+.f64 K K))) (/.f64 -2 (+.f64 m n))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
▶	32.3b	(.f64 (cos.f64 (-.f64 (/.f64 (-.f64 (.f64 2 (+.f64 n m)) (+.f64 (+.f64 n m) (*.f64 1/2 (+.f64 n m)))) (/.f64 1 K)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
▶	14.1b	(.f64 (cos.f64 (-.f64 (/.f64 (-.f64 (.f64 2 (.f64 K 6)) (+.f64 K (.f64 2 (*.f64 K 6)))) (/.f64 -2 (+.f64 m n))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	32.3b	(*.f64 (cos.f64 (-.f64 (/.f64 (-.f64 K (+.f64 K (+.f64 K K))) (neg.f64 (/.f64 4 (+.f64 m n)))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
▶	32.4b	(.f64 (cos.f64 (-.f64 (/.f64 (+.f64 (+.f64 n m) (.f64 (+.f64 n m) -3/2)) (/.f64 -1 K)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
	32.3b	(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
	34.5b	(.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 (pow.f64 m 2) 1/4))))
	32.3b	(*.f64 (cos.f64 (-.f64 (/.f64 1/2 (/.f64 (/.f64 1 K) (+.f64 m n))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
	14.2b	(.f64 (cos.f64 (-.f64 (-.f64 (/.f64 (+.f64 n m) (/.f64 2/3 K)) (.f64 K (+.f64 n m))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	32.4b	(.f64 (cos.f64 (-.f64 (-.f64 (/.f64 (+.f64 m (+.f64 n n)) (/.f64 2 K)) (.f64 K (*.f64 n 1/2))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
	14.5b	(.f64 (cos.f64 (-.f64 (-.f64 (/.f64 (+.f64 K (.f64 (+.f64 K K) 3)) (/.f64 2 (+.f64 m n))) (/.f64 (*.f64 (+.f64 K K) 3) (/.f64 2 (+.f64 m n)))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	14.2b	(.f64 (cos.f64 (-.f64 (-.f64 (/.f64 (.f64 K 3) (/.f64 2 (+.f64 m n))) (*.f64 (neg.f64 K) (neg.f64 (+.f64 m n)))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	14.5b	(.f64 (cos.f64 (-.f64 (-.f64 (.f64 (.f64 (+.f64 m n) -1/2) (.f64 (.f64 (+.f64 K K) 3) 2)) (.f64 (.f64 (+.f64 m n) -1/2) (+.f64 K (.f64 (*.f64 (+.f64 K K) 3) 2)))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	32.2b	(.f64 (cos.f64 (-.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) -1/2)) (/.f64 (.f64 (+.f64 m n) 2) (/.f64 -2 K))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
	14.4b	(.f64 (cos.f64 (-.f64 (+.f64 (.f64 (+.f64 n m) (neg.f64 (.f64 K 3))) (.f64 (+.f64 K (.f64 K 6)) (.f64 1/2 (+.f64 n m)))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	30.0b	(.f64 (cos.f64 (-.f64 (.f64 K (*.f64 n 1/2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
▶	30.9b	(.f64 (cos.f64 (-.f64 (.f64 K (*.f64 m 1/2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
	32.4b	(.f64 (cos.f64 (.f64 (+.f64 n m) (*.f64 K 1/2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
	29.8b	(.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1/4 (pow.f64 n 2))))
	28.3b	(.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1/4 (pow.f64 m 2))))
	25.7b	(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 (pow.f64 M 2))))
▶	39.5b	(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l)))

Compiler

Compiled 1504 to 1034 computations (31.3% saved)

localize70.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (-.f64 (.f64 2 (.f64 K 6)) (+.f64 K (.f64 2 (.f64 K 6)))) (/.f64 -2 (+.f64 m n)))
✓	0.3b	(+.f64 K (.f64 2 (.f64 K 6)))
✓	2.2b	(-.f64 (.f64 2 (.f64 K 6)) (+.f64 K (.f64 2 (.f64 K 6))))
✓	32.0b	(cos.f64 (-.f64 (/.f64 (-.f64 (.f64 2 (.f64 K 6)) (+.f64 K (.f64 2 (.f64 K 6)))) (/.f64 -2 (+.f64 m n))) M))

Compiler

Compiled 218 to 123 computations (43.6% saved)

series36.0ms (0.2%)

Counts

4 → 108

Calls

27 calls:

Time	Variable		Point	Expression
29.0ms	n	@	-inf	(cos.f64 (-.f64 (/.f64 (-.f64 (.f64 2 (.f64 K 6)) (+.f64 K (.f64 2 (.f64 K 6)))) (/.f64 -2 (+.f64 m n))) M))
4.0ms	K	@	inf	(-.f64 (.f64 2 (.f64 K 6)) (+.f64 K (.f64 2 (.f64 K 6))))
0.0ms	K	@	inf	(/.f64 (-.f64 (.f64 2 (.f64 K 6)) (+.f64 K (.f64 2 (.f64 K 6)))) (/.f64 -2 (+.f64 m n)))
0.0ms	K	@	-inf	(/.f64 (-.f64 (.f64 2 (.f64 K 6)) (+.f64 K (.f64 2 (.f64 K 6)))) (/.f64 -2 (+.f64 m n)))
0.0ms	K	@	0	(cos.f64 (-.f64 (/.f64 (-.f64 (.f64 2 (.f64 K 6)) (+.f64 K (.f64 2 (.f64 K 6)))) (/.f64 -2 (+.f64 m n))) M))

rewrite73.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1616×	`rational.json-1`
1616×	`rational.json-2`
1616×	`rational.json-4`
1616×	`rational.json-3`
878×	`rational.json-simplify-44`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	134
1	128	134
2	514	96
3	3552	60

Stop Event

1×	node limit

Counts

4 → 246

Calls

Call 1

Inputs
(cos.f64 (-.f64 (/.f64 (-.f64 (.f64 2 (.f64 K 6)) (+.f64 K (.f64 2 (.f64 K 6)))) (/.f64 -2 (+.f64 m n))) M))
(-.f64 (.f64 2 (.f64 K 6)) (+.f64 K (.f64 2 (.f64 K 6))))
(+.f64 K (.f64 2 (.f64 K 6)))
(/.f64 (-.f64 (.f64 2 (.f64 K 6)) (+.f64 K (.f64 2 (.f64 K 6)))) (/.f64 -2 (+.f64 m n)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M))) (.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) 2) (neg.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) 0) (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) (.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) 2) (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) 2) 2) (.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (neg.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M))) (neg.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 -1 (neg.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) M))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) M))))))))
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K)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (.f64 (+.f64 m n) -1/4)) (+.f64 K K))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (.f64 (+.f64 m n) -1/4)) (-.f64 (.f64 K 13) (neg.f64 (.f64 K -11))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (.f64 (+.f64 m n) -1/4)) (-.f64 (.f64 K 25) (+.f64 (neg.f64 K) (.f64 K 24))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 K -2) 2) (/.f64 1/2 (/.f64 -4 (+.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 K -2) 2) (-.f64 (.f64 (+.f64 m n) -1/4) (/.f64 1/2 (/.f64 -4 (+.f64 m n)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (neg.f64 (+.f64 m n)) (neg.f64 (+.f64 m n))) (/.f64 1/2 (neg.f64 (/.f64 2 K))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 K (.f64 (+.f64 m n) -1/2)) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 K 4) 2) (/.f64 1/2 (/.f64 1/2 (+.f64 m n))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 m n) (.f64 K -2)) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 K (*.f64 (+.f64 m n) -1/2)))))))

simplify135.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1274×	`rational.json-simplify-33`
956×	`rational.json-simplify-24`
828×	`rational.json-simplify-50`
556×	`rational.json-simplify-63`
422×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	568	9536
1	1653	8960
2	7625	8938

Stop Event

1×	node limit

Counts

354 → 401

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))
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(+.f64 (-.f64 (.f64 0 (.f64 (+.f64 m n) -1/2)) (/.f64 0 (/.f64 -1/2 K))) (*.f64 (+.f64 m n) (/.f64 K 2)))
(+.f64 (-.f64 (/.f64 0 (/.f64 -1/2 K)) (/.f64 0 (/.f64 -1/2 K))) (*.f64 (+.f64 m n) (/.f64 K 2)))
(+.f64 (-.f64 (.f64 (.f64 (+.f64 m n) -1/2) (-.f64 (neg.f64 K) (.f64 K 13))) (.f64 (+.f64 m n) (/.f64 K 2))) (/.f64 (+.f64 m n) (/.f64 -1/6 K)))
(+.f64 (-.f64 (/.f64 (+.f64 m n) (/.f64 -1/6 K)) (.f64 (.f64 (+.f64 m n) -1/2) (*.f64 K 25))) (/.f64 (+.f64 m n) (/.f64 -1/6 K)))
(+.f64 (/.f64 0 (/.f64 -4 (+.f64 m n))) (*.f64 (+.f64 m n) (/.f64 K 2)))
(+.f64 (/.f64 (.f64 K 12) (/.f64 -4 (+.f64 m n))) (/.f64 (-.f64 (neg.f64 K) (.f64 K 13)) (/.f64 -4 (+.f64 m n))))
(+.f64 (.f64 1 (.f64 0 (.f64 (+.f64 m n) -1/2))) (.f64 (+.f64 m n) (/.f64 K 2)))
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(+.f64 (.f64 (neg.f64 K) (.f64 n -1/2)) (.f64 (.f64 m -1/2) (neg.f64 K)))
(+.f64 (.f64 (.f64 n -1/2) (neg.f64 K)) (.f64 (neg.f64 K) (.f64 m -1/2)))
(+.f64 (.f64 (neg.f64 K) (.f64 m -1/2)) (.f64 (.f64 n -1/2) (neg.f64 K)))
(+.f64 (.f64 1 (/.f64 0 (/.f64 -1/2 K))) (.f64 (+.f64 m n) (/.f64 K 2)))
(+.f64 (.f64 (.f64 (+.f64 m n) -1/2) 0) (*.f64 (+.f64 m n) (/.f64 K 2)))
(+.f64 (.f64 (.f64 (+.f64 m n) -1/4) (-.f64 (neg.f64 K) (.f64 K 13))) (.f64 6 (.f64 K (.f64 (+.f64 m n) -1/2))))
(+.f64 (.f64 (neg.f64 K) (.f64 (+.f64 m n) -1/4)) (.f64 (.f64 (+.f64 m n) -1/4) (neg.f64 K)))
(+.f64 (.f64 (.f64 (+.f64 m n) -1/4) (neg.f64 K)) (.f64 (neg.f64 K) (.f64 (+.f64 m n) -1/4)))
(+.f64 (.f64 (.f64 (+.f64 m n) -1/4) (-.f64 (neg.f64 K) (*.f64 K 25))) (/.f64 (+.f64 m n) (/.f64 -1/6 K)))
(+.f64 (.f64 (.f64 (+.f64 m n) -1/4) 0) (*.f64 (+.f64 m n) (/.f64 K 2)))
(+.f64 (/.f64 (-.f64 K K) (/.f64 -2 (+.f64 m n))) (*.f64 (+.f64 m n) (/.f64 K 2)))
(+.f64 (/.f64 (-.f64 (neg.f64 K) (.f64 K 13)) (/.f64 -4 (+.f64 m n))) (/.f64 (.f64 K 12) (/.f64 -4 (+.f64 m n))))
(+.f64 (/.f64 (neg.f64 K) (/.f64 -4 (+.f64 m n))) (/.f64 (neg.f64 K) (/.f64 -4 (+.f64 m n))))
(+.f64 (/.f64 (-.f64 (neg.f64 K) (*.f64 K 25)) (/.f64 -4 (+.f64 m n))) (/.f64 (+.f64 m n) (/.f64 -1/6 K)))
(-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) 0)
(-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) (-.f64 K K))
(-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) (.f64 0 (*.f64 (+.f64 m n) -1/2)))
(-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) (/.f64 0 (/.f64 -1/2 K)))
(-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) (.f64 (neg.f64 (+.f64 m n)) (-.f64 K K)))
(-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) (neg.f64 (.f64 0 (*.f64 (+.f64 m n) -1/2))))
(-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) (neg.f64 (/.f64 0 (/.f64 -1/2 K))))
(-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) (-.f64 (.f64 0 (.f64 (+.f64 m n) -1/2)) (.f64 0 (*.f64 (+.f64 m n) -1/2))))
(-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) (-.f64 (/.f64 0 (/.f64 -1/2 K)) (.f64 0 (*.f64 (+.f64 m n) -1/2))))
(-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) (-.f64 (.f64 0 (*.f64 (+.f64 m n) -1/2)) (/.f64 0 (/.f64 -1/2 K))))
(-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) (-.f64 (/.f64 0 (/.f64 -1/2 K)) (/.f64 0 (/.f64 -1/2 K))))
(-.f64 (*.f64 (+.f64 m n) (/.f64 K 2)) (/.f64 0 (/.f64 -4 (+.f64 m n))))
(-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) (.f64 1 (.f64 0 (.f64 (+.f64 m n) -1/2))))
(-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) (.f64 1 (/.f64 0 (/.f64 -1/2 K))))
(-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) (.f64 (*.f64 (+.f64 m n) -1/2) 0))
(-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) (.f64 (*.f64 (+.f64 m n) -1/4) 0))
(-.f64 0 (.f64 K (.f64 (+.f64 m n) -1/2)))
(-.f64 (/.f64 (+.f64 m n) (/.f64 -1/6 K)) (.f64 (.f64 K 13) (*.f64 (+.f64 m n) -1/2)))
(-.f64 (.f64 (.f64 K 13) (.f64 (+.f64 m n) -1/2)) (.f64 (.f64 (+.f64 m n) -1/2) (-.f64 (.f64 K 12) (*.f64 K -2))))
(-.f64 (.f64 (neg.f64 K) (neg.f64 (+.f64 m n))) (.f64 (+.f64 m n) (/.f64 K 2)))
(-.f64 (.f64 0 (.f64 (+.f64 m n) -1/2)) (.f64 K (.f64 (+.f64 m n) -1/2)))
(-.f64 (.f64 (.f64 K 12) (neg.f64 (+.f64 m n))) (.f64 (.f64 (+.f64 m n) -1/2) (*.f64 K 25)))
(-.f64 (.f64 (.f64 (+.f64 m n) -1/2) (.f64 K 25)) (.f64 (.f64 (+.f64 m n) -1/2) (-.f64 (.f64 K 24) (*.f64 K -2))))
(-.f64 (/.f64 0 (/.f64 -1/2 K)) (.f64 K (.f64 (+.f64 m n) -1/2)))
(-.f64 (/.f64 (.f64 K 13) (/.f64 2 (+.f64 m n))) (.f64 (*.f64 K -6) (neg.f64 (+.f64 m n))))
(-.f64 (.f64 (.f64 K -6) (neg.f64 (+.f64 m n))) (-.f64 (/.f64 (.f64 K 13) (/.f64 2 (+.f64 m n))) (.f64 (neg.f64 K) (neg.f64 (+.f64 m n)))))
(-.f64 (.f64 (.f64 K -2) (neg.f64 (+.f64 m n))) (.f64 (.f64 (+.f64 m n) (/.f64 K 2)) 3))
(-.f64 (-.f64 (/.f64 (+.f64 m n) (/.f64 -1/6 K)) (/.f64 0 (/.f64 -1/2 K))) (.f64 (.f64 K 13) (*.f64 (+.f64 m n) -1/2)))
(-.f64 (-.f64 (.f64 (.f64 K 12) (neg.f64 (+.f64 m n))) (/.f64 0 (/.f64 -1/2 K))) (.f64 (.f64 (+.f64 m n) -1/2) (*.f64 K 25)))
(-.f64 (-.f64 (/.f64 (.f64 K 13) (/.f64 2 (+.f64 m n))) (/.f64 0 (/.f64 -1/2 K))) (.f64 (*.f64 K -6) (neg.f64 (+.f64 m n))))
(-.f64 (-.f64 (/.f64 (.f64 K 11) (/.f64 -2 (+.f64 m n))) (.f64 (+.f64 m n) (/.f64 K 2))) (.f64 (.f64 K 13) (*.f64 (+.f64 m n) -1/2)))
(-.f64 (/.f64 (.f64 2 (.f64 K 24)) (/.f64 -2 (+.f64 m n))) (/.f64 (+.f64 (.f64 K 13) (.f64 K 36)) (/.f64 -2 (+.f64 m n))))
(-.f64 (/.f64 (+.f64 K (.f64 K 25)) (/.f64 2 (+.f64 m n))) (/.f64 (.f64 K 25) (/.f64 2 (+.f64 m n))))
(-.f64 (/.f64 (.f64 K 25) (/.f64 2 (+.f64 m n))) (/.f64 (.f64 K 24) (/.f64 2 (+.f64 m n))))
(-.f64 (/.f64 (neg.f64 (.f64 K -11)) (/.f64 -4 (+.f64 m n))) (/.f64 (.f64 K 13) (/.f64 -4 (+.f64 m n))))
(-.f64 (/.f64 (+.f64 (neg.f64 K) (.f64 K 24)) (/.f64 -4 (+.f64 m n))) (/.f64 (.f64 K 25) (/.f64 -4 (+.f64 m n))))
(-.f64 (.f64 (.f64 2 (.f64 K 24)) (.f64 (+.f64 m n) -1/2)) (.f64 (.f64 (+.f64 m n) -1/2) (+.f64 (.f64 K 13) (.f64 K 36))))
(-.f64 (.f64 (neg.f64 (.f64 K -11)) (.f64 (+.f64 m n) -1/4)) (.f64 (.f64 (+.f64 m n) -1/4) (.f64 K 13)))
(-.f64 (.f64 (+.f64 (neg.f64 K) (.f64 K 24)) (.f64 (+.f64 m n) -1/4)) (.f64 (.f64 (+.f64 m n) -1/4) (.f64 K 25)))
(-.f64 (.f64 (.f64 (.f64 K 12) (neg.f64 (+.f64 m n))) 2) (+.f64 (.f64 (.f64 K 12) (neg.f64 (+.f64 m n))) (.f64 (.f64 (+.f64 m n) -1/2) (.f64 K 25))))
(-.f64 (.f64 (/.f64 (.f64 K 13) (/.f64 2 (+.f64 m n))) 2) (+.f64 (/.f64 (.f64 K 13) (/.f64 2 (+.f64 m n))) (.f64 (*.f64 K -6) (neg.f64 (+.f64 m n)))))
(*.f64 2 (/.f64 1/2 (/.f64 (/.f64 2 K) (+.f64 m n))))
(.f64 2 (-.f64 (.f64 6 (.f64 K (.f64 (+.f64 m n) -1/2))) (/.f64 1/2 (/.f64 -2 (.f64 (+.f64 m n) (.f64 K 13))))))
(.f64 2 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) (/.f64 1/2 (/.f64 (/.f64 2 K) (+.f64 m n)))))
(.f64 (neg.f64 K) (.f64 (+.f64 m n) -1/2))
(*.f64 (+.f64 m n) (/.f64 K 2))
(*.f64 (+.f64 m n) (/.f64 1 (/.f64 2 K)))
(.f64 (.f64 (+.f64 m n) (/.f64 K 2)) 1)
(.f64 1 (.f64 (+.f64 m n) (/.f64 K 2)))
(.f64 K (neg.f64 (.f64 (+.f64 m n) -1/2)))
(*.f64 K (/.f64 -1 (/.f64 -2 (+.f64 m n))))
(*.f64 K (/.f64 1 (/.f64 2 (+.f64 m n))))
(.f64 (.f64 (+.f64 m n) -1/2) (neg.f64 K))
(.f64 (.f64 (neg.f64 K) (neg.f64 (+.f64 m n))) 1/2)
(.f64 1/2 (.f64 (neg.f64 K) (neg.f64 (+.f64 m n))))
(.f64 1/2 (-.f64 (.f64 (.f64 K 12) (neg.f64 (+.f64 m n))) (/.f64 (+.f64 K (.f64 K 25)) (/.f64 -2 (+.f64 m n)))))
(.f64 1/2 (-.f64 (.f64 (.f64 K 12) (neg.f64 (+.f64 m n))) (/.f64 (.f64 (+.f64 m n) 2) (/.f64 -2 (*.f64 K 13)))))
(.f64 1/2 (-.f64 (.f64 (.f64 K 12) (neg.f64 (+.f64 m n))) (.f64 (*.f64 K 13) (neg.f64 (+.f64 m n)))))
(.f64 1/2 (+.f64 (.f64 (.f64 K 12) (neg.f64 (+.f64 m n))) (/.f64 (+.f64 K (.f64 K 25)) (/.f64 2 (+.f64 m n)))))
(.f64 (.f64 K -2) (*.f64 (+.f64 m n) -1/4))
(.f64 (.f64 (+.f64 m n) -1/4) (*.f64 K -2))
(.f64 (.f64 (+.f64 m n) -1/4) (-.f64 (.f64 K 24) (+.f64 K (.f64 K 25))))
(*.f64 (/.f64 K 2) (+.f64 m n))
(.f64 -1 (.f64 K (*.f64 (+.f64 m n) -1/2)))
(.f64 (.f64 K (*.f64 (+.f64 m n) -1/2)) -1)
(.f64 (.f64 (+.f64 m n) 2) (/.f64 K 4))
(.f64 (.f64 (+.f64 m n) 2) (-.f64 (.f64 K -3) (/.f64 1/2 (/.f64 -2 (.f64 K 13)))))
(.f64 (+.f64 K K) (neg.f64 (.f64 (+.f64 m n) -1/4)))
(.f64 (/.f64 K 4) (.f64 (+.f64 m n) 2))
(*.f64 (/.f64 K 4) (/.f64 1 (/.f64 1/2 (+.f64 m n))))
(.f64 (/.f64 K 4) (-.f64 (.f64 (.f64 (+.f64 m n) 2) 2) (.f64 (+.f64 m n) 2)))
(.f64 (/.f64 K 4) (-.f64 (.f64 (*.f64 (+.f64 m n) 2) 2) (/.f64 1 (/.f64 1/2 (+.f64 m n)))))
(*.f64 (/.f64 K 4) (+.f64 0 (/.f64 1 (/.f64 1/2 (+.f64 m n)))))
(.f64 (neg.f64 (.f64 (+.f64 m n) -1/2)) K)
(.f64 (neg.f64 (.f64 (+.f64 m n) -1/4)) (+.f64 K K))
(.f64 (neg.f64 (.f64 (+.f64 m n) -1/4)) (-.f64 (.f64 K 13) (neg.f64 (.f64 K -11))))
(.f64 (neg.f64 (.f64 (+.f64 m n) -1/4)) (-.f64 (.f64 K 25) (+.f64 (neg.f64 K) (.f64 K 24))))
(.f64 (.f64 (*.f64 K -2) 2) (/.f64 1/2 (/.f64 -4 (+.f64 m n))))
(.f64 (.f64 (.f64 K -2) 2) (-.f64 (.f64 (+.f64 m n) -1/4) (/.f64 1/2 (/.f64 -4 (+.f64 m n)))))
(*.f64 (+.f64 (neg.f64 (+.f64 m n)) (neg.f64 (+.f64 m n))) (/.f64 1/2 (neg.f64 (/.f64 2 K))))
(.f64 (.f64 (.f64 K (.f64 (+.f64 m n) -1/2)) 2) -1/2)
(.f64 (.f64 (/.f64 K 4) 2) (/.f64 1/2 (/.f64 1/2 (+.f64 m n))))
(.f64 (.f64 (+.f64 m n) (*.f64 K -2)) -1/4)
(neg.f64 (.f64 K (.f64 (+.f64 m n) -1/2)))

Outputs
(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 K (.f64 -1/2 (*.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 -1/2 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (+.f64 n m)))) (.f64 (cos.f64 (neg.f64 M)) (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2))))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 K (.f64 -1/2 (.f64 (sin.f64 (neg.f64 M)) (+.f64 n m)))) (.f64 (cos.f64 (neg.f64 M)) (.f64 -1/8 (.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 (neg.f64 M)) (+.f64 (.f64 (cos.f64 (neg.f64 M)) (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))) (+.f64 (.f64 1/48 (.f64 (sin.f64 (neg.f64 M)) (.f64 (pow.f64 K 3) (pow.f64 (+.f64 n m) 3)))) (.f64 -1/2 (.f64 K (*.f64 (sin.f64 (neg.f64 M)) (+.f64 n m)))))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 K (.f64 -1/2 (.f64 (sin.f64 (neg.f64 M)) (+.f64 n m)))) (+.f64 (.f64 (sin.f64 (neg.f64 M)) (.f64 1/48 (.f64 (pow.f64 K 3) (pow.f64 (+.f64 n m) 3)))) (.f64 (cos.f64 (neg.f64 M)) (.f64 -1/8 (*.f64 (pow.f64 K 2) (pow.f64 (+.f64 n m) 2)))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 1/2 (+.f64 n m))) 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 K (.f64 1/2 (+.f64 n m))) 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 K (.f64 1/2 (+.f64 n m))) 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 K (.f64 1/2 (+.f64 n m))) 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 K (.f64 1/2 (+.f64 n m))) 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 K (.f64 1/2 (+.f64 n m))) 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 K (.f64 1/2 (+.f64 n m))) 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 K (.f64 1/2 (+.f64 n m))) M))
(cos.f64 (-.f64 (*.f64 (+.f64 n m) (/.f64 K 2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 1/2 K)) M))
(cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))
(+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 1/2 (.f64 n K)) M)) (*.f64 K m))))
(+.f64 (cos.f64 (-.f64 (.f64 n (.f64 1/2 K)) M)) (.f64 -1/2 (.f64 K (.f64 (sin.f64 (-.f64 (.f64 n (*.f64 1/2 K)) M)) m))))
(+.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) (.f64 -1/2 (.f64 K (.f64 m (sin.f64 (-.f64 (.f64 n (*.f64 K 1/2)) 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 (cos.f64 (-.f64 (.f64 n (.f64 1/2 K)) M)) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (-.f64 (.f64 n (.f64 1/2 K)) M)) (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (.f64 -1/2 (.f64 K (.f64 (sin.f64 (-.f64 (.f64 n (.f64 1/2 K)) M)) m)))))
(+.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) (+.f64 (.f64 -1/2 (.f64 K (.f64 m (sin.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))) (.f64 -1/8 (.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) (.f64 (pow.f64 K 2) (pow.f64 m 2))))))
(+.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))))))
(+.f64 (cos.f64 (-.f64 (.f64 n (.f64 1/2 K)) M)) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (-.f64 (.f64 n (.f64 1/2 K)) M)) (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (+.f64 (.f64 -1/2 (.f64 K (.f64 (sin.f64 (-.f64 (.f64 n (.f64 1/2 K)) M)) m))) (.f64 (sin.f64 (-.f64 (.f64 n (.f64 1/2 K)) M)) (.f64 1/48 (*.f64 (pow.f64 K 3) (pow.f64 m 3)))))))
(+.f64 (+.f64 (.f64 -1/2 (.f64 K (.f64 m (sin.f64 (-.f64 (.f64 n (.f64 K 1/2)) M))))) (.f64 (pow.f64 K 3) (.f64 1/48 (.f64 (sin.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) (pow.f64 m 3))))) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (-.f64 (.f64 n (.f64 K 1/2)) M)) (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (cos.f64 (-.f64 (.f64 n (*.f64 K 1/2)) M))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 K (.f64 1/2 (+.f64 n m))) 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 K (.f64 1/2 (+.f64 n m))) M))
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(-.f64 (-.f64 (.f64 (.f64 K 12) (neg.f64 (+.f64 n m))) (.f64 K (.f64 (.f64 -1/2 (+.f64 n m)) 25))) (.f64 0 (/.f64 K -1/2)))
(-.f64 (-.f64 (.f64 (.f64 K 12) (neg.f64 (+.f64 n m))) (.f64 K (.f64 25 (*.f64 -1/2 (+.f64 n m))))) (-.f64 K K))
(-.f64 (-.f64 (.f64 (+.f64 n m) (neg.f64 (.f64 K 12))) (.f64 K (.f64 25 (*.f64 -1/2 (+.f64 n m))))) (-.f64 K K))
(-.f64 (-.f64 (/.f64 (.f64 K 13) (/.f64 2 (+.f64 m n))) (/.f64 0 (/.f64 -1/2 K))) (.f64 (*.f64 K -6) (neg.f64 (+.f64 m n))))
(-.f64 (.f64 (.f64 K 13) (/.f64 (+.f64 n m) 2)) (.f64 (neg.f64 (+.f64 n m)) (.f64 K -6)))
(-.f64 (.f64 (+.f64 n m) (.f64 K 13/2)) (.f64 (neg.f64 (+.f64 n m)) (.f64 K -6)))
(-.f64 (.f64 (+.f64 n m) (.f64 K 13/2)) (.f64 (+.f64 n m) (neg.f64 (.f64 K -6))))
(-.f64 (-.f64 (/.f64 (.f64 K 11) (/.f64 -2 (+.f64 m n))) (.f64 (+.f64 m n) (/.f64 K 2))) (.f64 (.f64 K 13) (*.f64 (+.f64 m n) -1/2)))
(-.f64 (-.f64 (.f64 11 (/.f64 K (/.f64 -2 (+.f64 n m)))) (.f64 (+.f64 n m) (/.f64 K 2))) (.f64 (+.f64 n m) (.f64 (*.f64 K 13) -1/2)))
(-.f64 (-.f64 (/.f64 (+.f64 n m) (/.f64 -2/11 K)) (.f64 (+.f64 n m) (/.f64 K 2))) (.f64 (+.f64 n m) (*.f64 K -13/2)))
(-.f64 (/.f64 12 (/.f64 (/.f64 -2 (+.f64 n m)) K)) (.f64 (+.f64 n m) (.f64 K -13/2)))
(-.f64 (/.f64 (.f64 2 (.f64 K 24)) (/.f64 -2 (+.f64 m n))) (/.f64 (+.f64 (.f64 K 13) (.f64 K 36)) (/.f64 -2 (+.f64 m n))))
(/.f64 (-.f64 (.f64 K 48) (+.f64 (.f64 K 13) (*.f64 K 36))) (/.f64 -2 (+.f64 n m)))
(/.f64 (-.f64 (.f64 K 36) (.f64 K 37)) (/.f64 -2 (+.f64 n m)))
(/.f64 (+.f64 (.f64 K 12) (.f64 K -13)) (/.f64 -2 (+.f64 n m)))
(-.f64 (/.f64 (+.f64 K (.f64 K 25)) (/.f64 2 (+.f64 m n))) (/.f64 (.f64 K 25) (/.f64 2 (+.f64 m n))))
(.f64 K (.f64 1/2 (+.f64 n m)))
(*.f64 (+.f64 n m) (/.f64 K 2))
(-.f64 (/.f64 (.f64 K 25) (/.f64 2 (+.f64 m n))) (/.f64 (.f64 K 24) (/.f64 2 (+.f64 m n))))
(.f64 K (.f64 1/2 (+.f64 n m)))
(*.f64 (+.f64 n m) (/.f64 K 2))
(-.f64 (/.f64 (neg.f64 (.f64 K -11)) (/.f64 -4 (+.f64 m n))) (/.f64 (.f64 K 13) (/.f64 -4 (+.f64 m n))))
(/.f64 (-.f64 (neg.f64 (.f64 K -11)) (.f64 K 13)) (/.f64 -4 (+.f64 n m)))
(/.f64 (+.f64 n m) (/.f64 -4 (-.f64 (.f64 K -13) (.f64 K -11))))
(/.f64 (-.f64 (.f64 K 22) (.f64 K 26)) (/.f64 -8 (+.f64 n m)))
(-.f64 (/.f64 (+.f64 (neg.f64 K) (.f64 K 24)) (/.f64 -4 (+.f64 m n))) (/.f64 (.f64 K 25) (/.f64 -4 (+.f64 m n))))
(/.f64 (+.f64 (.f64 K 12) (-.f64 (neg.f64 K) (.f64 K 13))) (/.f64 -4 (+.f64 n m)))
(.f64 (+.f64 (.f64 K -14) (*.f64 K 12)) (/.f64 (+.f64 n m) -4))
(/.f64 (+.f64 n m) (/.f64 -4 (-.f64 (.f64 K 22) (.f64 K 24))))
(-.f64 (.f64 (.f64 2 (.f64 K 24)) (.f64 (+.f64 m n) -1/2)) (.f64 (.f64 (+.f64 m n) -1/2) (+.f64 (.f64 K 13) (.f64 K 36))))
(.f64 (.f64 -1/2 (+.f64 n m)) (-.f64 (.f64 K 13) (-.f64 (.f64 K 12) (*.f64 K -2))))
(.f64 (.f64 -1/2 (+.f64 n m)) (-.f64 (.f64 K 13) (.f64 K 14)))
(.f64 (.f64 -1/2 (+.f64 n m)) (+.f64 (.f64 K 12) (.f64 K -13)))
(-.f64 (.f64 (neg.f64 (.f64 K -11)) (.f64 (+.f64 m n) -1/4)) (.f64 (.f64 (+.f64 m n) -1/4) (.f64 K 13)))
(.f64 (.f64 (+.f64 n m) -1/4) (-.f64 (neg.f64 (.f64 K -11)) (.f64 K 13)))
(.f64 (.f64 (+.f64 n m) -1/4) (-.f64 (.f64 K -13) (.f64 K -11)))
(-.f64 (.f64 (+.f64 (neg.f64 K) (.f64 K 24)) (.f64 (+.f64 m n) -1/4)) (.f64 (.f64 (+.f64 m n) -1/4) (.f64 K 25)))
(.f64 (.f64 (+.f64 n m) -1/4) (-.f64 (+.f64 (neg.f64 K) (.f64 K 24)) (.f64 K 25)))
(.f64 (.f64 (+.f64 n m) -1/4) (-.f64 (.f64 K 22) (.f64 K 24)))
(-.f64 (.f64 (.f64 (.f64 K 12) (neg.f64 (+.f64 m n))) 2) (+.f64 (.f64 (.f64 K 12) (neg.f64 (+.f64 m n))) (.f64 (.f64 (+.f64 m n) -1/2) (.f64 K 25))))
(-.f64 (.f64 2 (.f64 (.f64 K 12) (neg.f64 (+.f64 n m)))) (+.f64 (.f64 K (.f64 (.f64 -1/2 (+.f64 n m)) 25)) (.f64 (.f64 K 12) (neg.f64 (+.f64 n m)))))
(-.f64 (.f64 2 (.f64 (.f64 K 12) (neg.f64 (+.f64 n m)))) (+.f64 (.f64 K (.f64 25 (.f64 -1/2 (+.f64 n m)))) (.f64 (.f64 K 12) (neg.f64 (+.f64 n m)))))
(-.f64 (.f64 2 (.f64 (+.f64 n m) (neg.f64 (.f64 K 12)))) (+.f64 (.f64 K (.f64 25 (.f64 -1/2 (+.f64 n m)))) (.f64 (+.f64 n m) (neg.f64 (.f64 K 12)))))
(-.f64 (.f64 (/.f64 (.f64 K 13) (/.f64 2 (+.f64 m n))) 2) (+.f64 (/.f64 (.f64 K 13) (/.f64 2 (+.f64 m n))) (.f64 (*.f64 K -6) (neg.f64 (+.f64 m n)))))
(-.f64 (.f64 (.f64 K 13) (/.f64 (+.f64 n m) 2)) (.f64 (neg.f64 (+.f64 n m)) (.f64 K -6)))
(-.f64 (.f64 (+.f64 n m) (.f64 K 13/2)) (.f64 (neg.f64 (+.f64 n m)) (.f64 K -6)))
(-.f64 (.f64 (+.f64 n m) (.f64 K 13/2)) (.f64 (+.f64 n m) (neg.f64 (.f64 K -6))))
(*.f64 2 (/.f64 1/2 (/.f64 (/.f64 2 K) (+.f64 m n))))
(.f64 K (.f64 1/2 (+.f64 n m)))
(*.f64 (+.f64 n m) (/.f64 K 2))
(.f64 2 (-.f64 (.f64 6 (.f64 K (.f64 (+.f64 m n) -1/2))) (/.f64 1/2 (/.f64 -2 (.f64 (+.f64 m n) (.f64 K 13))))))
(.f64 2 (-.f64 (.f64 6 (.f64 (+.f64 n m) (.f64 K -1/2))) (/.f64 (.f64 (+.f64 n m) (.f64 K 13)) -4)))
(.f64 2 (-.f64 (.f64 K (.f64 (+.f64 n m) -3)) (.f64 (+.f64 n m) (*.f64 K -13/4))))
(.f64 2 (-.f64 (.f64 (+.f64 m n) (/.f64 K 2)) (/.f64 1/2 (/.f64 (/.f64 2 K) (+.f64 m n)))))
(.f64 K (.f64 1/2 (+.f64 n m)))
(*.f64 (+.f64 n m) (/.f64 K 2))
(.f64 (neg.f64 K) (.f64 (+.f64 m n) -1/2))
(.f64 K (.f64 1/2 (+.f64 n m)))
(*.f64 (+.f64 n m) (/.f64 K 2))
(*.f64 (+.f64 m n) (/.f64 K 2))
(.f64 K (.f64 1/2 (+.f64 n m)))
(*.f64 (+.f64 n m) (/.f64 K 2))
(*.f64 (+.f64 m n) (/.f64 1 (/.f64 2 K)))
(.f64 K (.f64 1/2 (+.f64 n m)))
(*.f64 (+.f64 n m) (/.f64 K 2))
(.f64 (.f64 (+.f64 m n) (/.f64 K 2)) 1)
(.f64 K (.f64 1/2 (+.f64 n m)))
(*.f64 (+.f64 n m) (/.f64 K 2))
(.f64 1 (.f64 (+.f64 m n) (/.f64 K 2)))
(.f64 K (.f64 1/2 (+.f64 n m)))
(*.f64 (+.f64 n m) (/.f64 K 2))
(.f64 K (neg.f64 (.f64 (+.f64 m n) -1/2)))
(.f64 K (.f64 1/2 (+.f64 n m)))
(*.f64 (+.f64 n m) (/.f64 K 2))
(*.f64 K (/.f64 -1 (/.f64 -2 (+.f64 m n))))
(.f64 K (.f64 1/2 (+.f64 n m)))
(*.f64 (+.f64 n m) (/.f64 K 2))
(*.f64 K (/.f64 1 (/.f64 2 (+.f64 m n))))
(.f64 K (.f64 1/2 (+.f64 n m)))
(*.f64 (+.f64 n m) (/.f64 K 2))
(.f64 (.f64 (+.f64 m n) -1/2) (neg.f64 K))
(.f64 K (.f64 1/2 (+.f64 n m)))
(*.f64 (+.f64 n m) (/.f64 K 2))
(.f64 (.f64 (neg.f64 K) (neg.f64 (+.f64 m n))) 1/2)
(.f64 K (.f64 1/2 (+.f64 n m)))
(*.f64 (+.f64 n m) (/.f64 K 2))
(.f64 1/2 (.f64 (neg.f64 K) (neg.f64 (+.f64 m n))))
(.f64 K (.f64 1/2 (+.f64 n m)))
(*.f64 (+.f64 n m) (/.f64 K 2))
(.f64 1/2 (-.f64 (.f64 (.f64 K 12) (neg.f64 (+.f64 m n))) (/.f64 (+.f64 K (.f64 K 25)) (/.f64 -2 (+.f64 m n)))))
(.f64 -1/2 (-.f64 (.f64 (+.f64 K (.f64 K 25)) (/.f64 (+.f64 n m) -2)) (.f64 (*.f64 K 12) (neg.f64 (+.f64 n m)))))
(-.f64 (.f64 1/2 (.f64 (.f64 K 12) (neg.f64 (+.f64 n m)))) (.f64 (+.f64 K (*.f64 K 25)) (/.f64 (+.f64 n m) -4)))
(-.f64 (.f64 1/2 (.f64 (+.f64 n m) (neg.f64 (.f64 K 12)))) (.f64 (+.f64 K (*.f64 K 25)) (/.f64 (+.f64 n m) -4)))
(.f64 1/2 (-.f64 (.f64 (.f64 K 12) (neg.f64 (+.f64 m n))) (/.f64 (.f64 (+.f64 m n) 2) (/.f64 -2 (*.f64 K 13)))))
(.f64 -1/2 (-.f64 (.f64 2 (/.f64 (+.f64 n m) (/.f64 (/.f64 -2 K) 13))) (.f64 (.f64 K 12) (neg.f64 (+.f64 n m)))))
(.f64 -1/2 (.f64 (neg.f64 (+.f64 n m)) (-.f64 (.f64 K 13) (.f64 K 12))))
(.f64 1/2 (.f64 (neg.f64 (+.f64 n m)) (+.f64 (.f64 K 12) (.f64 K -13))))
(.f64 1/2 (-.f64 (.f64 (.f64 K 12) (neg.f64 (+.f64 m n))) (.f64 (*.f64 K 13) (neg.f64 (+.f64 m n)))))
(.f64 -1/2 (-.f64 (.f64 2 (/.f64 (+.f64 n m) (/.f64 (/.f64 -2 K) 13))) (.f64 (.f64 K 12) (neg.f64 (+.f64 n m)))))
(.f64 -1/2 (.f64 (neg.f64 (+.f64 n m)) (-.f64 (.f64 K 13) (.f64 K 12))))
(.f64 1/2 (.f64 (neg.f64 (+.f64 n m)) (+.f64 (.f64 K 12) (.f64 K -13))))
(.f64 1/2 (+.f64 (.f64 (.f64 K 12) (neg.f64 (+.f64 m n))) (/.f64 (+.f64 K (.f64 K 25)) (/.f64 2 (+.f64 m n)))))
(.f64 1/2 (+.f64 (.f64 (.f64 K 12) (neg.f64 (+.f64 n m))) (.f64 (+.f64 K (*.f64 K 25)) (/.f64 (+.f64 n m) 2))))
(+.f64 (.f64 1/2 (.f64 (.f64 K 12) (neg.f64 (+.f64 n m)))) (.f64 (+.f64 K (*.f64 K 25)) (/.f64 (+.f64 n m) 4)))
(+.f64 (.f64 1/2 (.f64 (+.f64 n m) (neg.f64 (.f64 K 12)))) (.f64 (+.f64 K (*.f64 K 25)) (/.f64 (+.f64 n m) 4)))
(.f64 (.f64 K -2) (*.f64 (+.f64 m n) -1/4))
(.f64 K (.f64 1/2 (+.f64 n m)))
(*.f64 (+.f64 n m) (/.f64 K 2))
(.f64 (.f64 (+.f64 m n) -1/4) (*.f64 K -2))
(.f64 K (.f64 1/2 (+.f64 n m)))
(*.f64 (+.f64 n m) (/.f64 K 2))
(.f64 (.f64 (+.f64 m n) -1/4) (-.f64 (.f64 K 24) (+.f64 K (.f64 K 25))))
(.f64 K (.f64 1/2 (+.f64 n m)))
(*.f64 (+.f64 n m) (/.f64 K 2))
(*.f64 (/.f64 K 2) (+.f64 m n))
(.f64 K (.f64 1/2 (+.f64 n m)))
(*.f64 (+.f64 n m) (/.f64 K 2))
(.f64 -1 (.f64 K (*.f64 (+.f64 m n) -1/2)))
(.f64 K (.f64 1/2 (+.f64 n m)))
(*.f64 (+.f64 n m) (/.f64 K 2))
(.f64 (.f64 K (*.f64 (+.f64 m n) -1/2)) -1)
(.f64 K (.f64 1/2 (+.f64 n m)))
(*.f64 (+.f64 n m) (/.f64 K 2))
(.f64 (.f64 (+.f64 m n) 2) (/.f64 K 4))
(.f64 K (.f64 1/2 (+.f64 n m)))
(*.f64 (+.f64 n m) (/.f64 K 2))
(.f64 (.f64 (+.f64 m n) 2) (-.f64 (.f64 K -3) (/.f64 1/2 (/.f64 -2 (.f64 K 13)))))
(.f64 (.f64 2 (+.f64 n m)) (-.f64 (.f64 K -3) (/.f64 (.f64 K 13) -4)))
(.f64 2 (.f64 (-.f64 (.f64 K -3) (.f64 K -13/4)) (+.f64 n m)))
(.f64 (+.f64 K K) (neg.f64 (.f64 (+.f64 m n) -1/4)))
(.f64 K (.f64 1/2 (+.f64 n m)))
(*.f64 (+.f64 n m) (/.f64 K 2))
(.f64 (/.f64 K 4) (.f64 (+.f64 m n) 2))
(.f64 K (.f64 1/2 (+.f64 n m)))
(*.f64 (+.f64 n m) (/.f64 K 2))
(*.f64 (/.f64 K 4) (/.f64 1 (/.f64 1/2 (+.f64 m n))))
(.f64 K (.f64 1/2 (+.f64 n m)))
(*.f64 (+.f64 n m) (/.f64 K 2))
(.f64 (/.f64 K 4) (-.f64 (.f64 (.f64 (+.f64 m n) 2) 2) (.f64 (+.f64 m n) 2)))
(.f64 K (.f64 1/2 (+.f64 n m)))
(*.f64 (+.f64 n m) (/.f64 K 2))
(.f64 (/.f64 K 4) (-.f64 (.f64 (*.f64 (+.f64 m n) 2) 2) (/.f64 1 (/.f64 1/2 (+.f64 m n)))))
(.f64 K (.f64 1/2 (+.f64 n m)))
(*.f64 (+.f64 n m) (/.f64 K 2))
(*.f64 (/.f64 K 4) (+.f64 0 (/.f64 1 (/.f64 1/2 (+.f64 m n)))))
(.f64 K (.f64 1/2 (+.f64 n m)))
(*.f64 (+.f64 n m) (/.f64 K 2))
(.f64 (neg.f64 (.f64 (+.f64 m n) -1/2)) K)
(.f64 K (.f64 1/2 (+.f64 n m)))
(*.f64 (+.f64 n m) (/.f64 K 2))
(.f64 (neg.f64 (.f64 (+.f64 m n) -1/4)) (+.f64 K K))
(.f64 K (.f64 1/2 (+.f64 n m)))
(*.f64 (+.f64 n m) (/.f64 K 2))
(.f64 (neg.f64 (.f64 (+.f64 m n) -1/4)) (-.f64 (.f64 K 13) (neg.f64 (.f64 K -11))))
(.f64 (.f64 (+.f64 n m) -1/4) (-.f64 (neg.f64 (.f64 K -11)) (.f64 K 13)))
(.f64 (.f64 (+.f64 n m) -1/4) (-.f64 (.f64 K -13) (.f64 K -11)))
(.f64 (neg.f64 (.f64 (+.f64 m n) -1/4)) (-.f64 (.f64 K 25) (+.f64 (neg.f64 K) (.f64 K 24))))
(.f64 (.f64 (+.f64 n m) -1/4) (-.f64 (+.f64 (neg.f64 K) (.f64 K 24)) (.f64 K 25)))
(.f64 (.f64 (+.f64 n m) -1/4) (-.f64 (.f64 K 22) (.f64 K 24)))
(.f64 (.f64 (*.f64 K -2) 2) (/.f64 1/2 (/.f64 -4 (+.f64 m n))))
(.f64 K (.f64 1/2 (+.f64 n m)))
(*.f64 (+.f64 n m) (/.f64 K 2))
(.f64 (.f64 (.f64 K -2) 2) (-.f64 (.f64 (+.f64 m n) -1/4) (/.f64 1/2 (/.f64 -4 (+.f64 m n)))))
(.f64 K (.f64 1/2 (+.f64 n m)))
(*.f64 (+.f64 n m) (/.f64 K 2))
(*.f64 (+.f64 (neg.f64 (+.f64 m n)) (neg.f64 (+.f64 m n))) (/.f64 1/2 (neg.f64 (/.f64 2 K))))
(.f64 K (.f64 1/2 (+.f64 n m)))
(*.f64 (+.f64 n m) (/.f64 K 2))
(.f64 (.f64 (.f64 K (.f64 (+.f64 m n) -1/2)) 2) -1/2)
(.f64 K (.f64 1/2 (+.f64 n m)))
(*.f64 (+.f64 n m) (/.f64 K 2))
(.f64 (.f64 (/.f64 K 4) 2) (/.f64 1/2 (/.f64 1/2 (+.f64 m n))))
(.f64 K (.f64 1/2 (+.f64 n m)))
(*.f64 (+.f64 n m) (/.f64 K 2))
(.f64 (.f64 (+.f64 m n) (*.f64 K -2)) -1/4)
(.f64 K (.f64 1/2 (+.f64 n m)))
(*.f64 (+.f64 n m) (/.f64 K 2))
(neg.f64 (.f64 K (.f64 (+.f64 m n) -1/2)))
(.f64 K (.f64 1/2 (+.f64 n m)))
(*.f64 (+.f64 n m) (/.f64 K 2))

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 24 to 10 computations (58.3% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	l	@	inf	(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l)))
0.0ms	M	@	0	(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l)))
0.0ms	M	@	inf	(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l)))
0.0ms	l	@	-inf	(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l)))
0.0ms	l	@	0	(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l)))

rewrite69.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1146×	`rational.json-1`
1146×	`rational.json-2`
1146×	`rational.json-3`
1142×	`rational.json-4`
912×	`rational.json-simplify-63`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	60	23
2	166	23
3	692	23
4	5083	23

Stop Event

1×	node limit

Counts

1 → 121

Calls

Call 1

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

Outputs

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M))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 l)) 3)) (neg.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 l)) 2) 2))) (/.f64 1 (cos.f64 (neg.f64 M))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 (*.f64 (cos.f64 (neg.f64 M)) 3)) (neg.f64 (*.f64 (*.f64 (cos.f64 (neg.f64 M)) 2) 2))) (/.f64 1 (exp.f64 (neg.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (exp.f64 (neg.f64 l)) (neg.f64 (cos.f64 (neg.f64 M)))))))))

simplify80.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1276×	`rational.json-simplify-21`
1074×	`rational.json-simplify-23`
1058×	`rational.json-simplify-1`
988×	`rational.json-simplify-35`
800×	`rational.json-simplify-33`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	302	3583
1	967	3583
2	3851	3583

Stop Event

1×	node limit

Counts

145 → 146

Calls

Call 1

Inputs
(exp.f64 (neg.f64 l))
(+.f64 (exp.f64 (neg.f64 l)) (.f64 -1/2 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 2))))
(+.f64 (exp.f64 (neg.f64 l)) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 2))) (.f64 1/24 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 4)))))
(+.f64 (.f64 -1/720 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 6))) (+.f64 (exp.f64 (neg.f64 l)) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 2))) (.f64 1/24 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 4))))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 -1 M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 -1 M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 -1 M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 -1 M)))
(cos.f64 (neg.f64 M))
(+.f64 (.f64 -1 (.f64 (cos.f64 (neg.f64 M)) l)) (cos.f64 (neg.f64 M)))
(+.f64 (.f64 -1 (.f64 (cos.f64 (neg.f64 M)) l)) (+.f64 (cos.f64 (neg.f64 M)) (.f64 1/2 (.f64 (cos.f64 (neg.f64 M)) (pow.f64 l 2)))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (neg.f64 M)) l)) (+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/6 (.f64 (cos.f64 (neg.f64 M)) (pow.f64 l 3))) (.f64 1/2 (.f64 (cos.f64 (neg.f64 M)) (pow.f64 l 2))))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1 l)))
(.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1 l)))
(.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1 l)))
(.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1 l)))
(+.f64 (*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l))) 0)
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(+.f64 (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (neg.f64 M)) (*.f64 (exp.f64 (neg.f64 l)) 0)))
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(+.f64 (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l))) (+.f64 (.f64 (exp.f64 (neg.f64 l)) 0) (*.f64 0 (-.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l))))))
(+.f64 (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l))) (-.f64 (.f64 0 (-.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l)))) (*.f64 (cos.f64 (neg.f64 M)) 0)))
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(+.f64 (*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l))) (/.f64 -1 (/.f64 (/.f64 1 (exp.f64 (neg.f64 l))) 0)))
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(/.f64 (neg.f64 (cos.f64 (neg.f64 M))) (/.f64 -1 (exp.f64 (neg.f64 l))))
(/.f64 (*.f64 (exp.f64 (neg.f64 l)) (neg.f64 (cos.f64 (neg.f64 M)))) -1)
(/.f64 (*.f64 (exp.f64 (neg.f64 l)) 2) (/.f64 (/.f64 1 (cos.f64 (neg.f64 M))) 1/2))
(/.f64 (*.f64 (cos.f64 (neg.f64 M)) 2) (/.f64 (/.f64 1 (exp.f64 (neg.f64 l))) 1/2))
(/.f64 1/2 (/.f64 (/.f64 1/2 (exp.f64 (neg.f64 l))) (cos.f64 (neg.f64 M))))
(/.f64 1/2 (/.f64 (/.f64 1/2 (cos.f64 (neg.f64 M))) (exp.f64 (neg.f64 l))))
(/.f64 1/2 (/.f64 (/.f64 1 (cos.f64 (neg.f64 M))) (*.f64 (exp.f64 (neg.f64 l)) 2)))
(/.f64 1/2 (/.f64 (/.f64 1 (exp.f64 (neg.f64 l))) (*.f64 (cos.f64 (neg.f64 M)) 2)))
(/.f64 1/2 (/.f64 1 (.f64 (cos.f64 (neg.f64 M)) (.f64 (exp.f64 (neg.f64 l)) 2))))
(/.f64 1/2 (/.f64 -1 (-.f64 (.f64 (exp.f64 (neg.f64 l)) (neg.f64 (cos.f64 (neg.f64 M)))) (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l))))))
(/.f64 (*.f64 (exp.f64 (neg.f64 l)) 1/2) (/.f64 1/2 (cos.f64 (neg.f64 M))))
(/.f64 (*.f64 (cos.f64 (neg.f64 M)) 1/2) (/.f64 1/2 (exp.f64 (neg.f64 l))))
(/.f64 (-.f64 (.f64 (cos.f64 (neg.f64 M)) 3) (-.f64 (.f64 (cos.f64 (neg.f64 M)) 2) (neg.f64 (*.f64 (cos.f64 (neg.f64 M)) 2)))) (/.f64 -1 (exp.f64 (neg.f64 l))))
(/.f64 (-.f64 (.f64 (cos.f64 (neg.f64 M)) 1/2) (.f64 1/2 (*.f64 (cos.f64 (neg.f64 M)) 3))) (/.f64 -1 (exp.f64 (neg.f64 l))))
(/.f64 (-.f64 (+.f64 (.f64 (cos.f64 (neg.f64 M)) 3) (.f64 (.f64 (cos.f64 (neg.f64 M)) 2) 2)) (+.f64 (.f64 (.f64 (cos.f64 (neg.f64 M)) 2) 2) (.f64 (*.f64 (cos.f64 (neg.f64 M)) 2) 2))) (/.f64 -1 (exp.f64 (neg.f64 l))))
(/.f64 (-.f64 (.f64 (exp.f64 (neg.f64 l)) 3) (-.f64 (.f64 (exp.f64 (neg.f64 l)) 2) (neg.f64 (*.f64 (exp.f64 (neg.f64 l)) 2)))) (/.f64 -1 (cos.f64 (neg.f64 M))))
(/.f64 (-.f64 (.f64 (exp.f64 (neg.f64 l)) 1/2) (.f64 1/2 (*.f64 (exp.f64 (neg.f64 l)) 3))) (/.f64 -1 (cos.f64 (neg.f64 M))))
(/.f64 (-.f64 (+.f64 (.f64 (exp.f64 (neg.f64 l)) 3) (.f64 (.f64 (exp.f64 (neg.f64 l)) 2) 2)) (+.f64 (.f64 (.f64 (exp.f64 (neg.f64 l)) 2) 2) (.f64 (*.f64 (exp.f64 (neg.f64 l)) 2) 2))) (/.f64 -1 (cos.f64 (neg.f64 M))))
(/.f64 (-.f64 (neg.f64 (.f64 (exp.f64 (neg.f64 l)) 3)) (neg.f64 (.f64 (*.f64 (exp.f64 (neg.f64 l)) 2) 2))) (/.f64 1 (cos.f64 (neg.f64 M))))
(/.f64 (-.f64 (neg.f64 (.f64 (cos.f64 (neg.f64 M)) 3)) (neg.f64 (.f64 (*.f64 (cos.f64 (neg.f64 M)) 2) 2))) (/.f64 1 (exp.f64 (neg.f64 l))))
(neg.f64 (*.f64 (exp.f64 (neg.f64 l)) (neg.f64 (cos.f64 (neg.f64 M)))))

Outputs
(exp.f64 (neg.f64 l))
(+.f64 (exp.f64 (neg.f64 l)) (.f64 -1/2 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 2))))
(+.f64 (exp.f64 (neg.f64 l)) (.f64 (exp.f64 (neg.f64 l)) (.f64 -1/2 (pow.f64 M 2))))
(+.f64 (exp.f64 (neg.f64 l)) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 2))) (.f64 1/24 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 4)))))
(+.f64 (.f64 (exp.f64 (neg.f64 l)) (.f64 -1/2 (pow.f64 M 2))) (+.f64 (exp.f64 (neg.f64 l)) (.f64 (exp.f64 (neg.f64 l)) (.f64 1/24 (pow.f64 M 4)))))
(+.f64 (exp.f64 (neg.f64 l)) (+.f64 (.f64 (exp.f64 (neg.f64 l)) (.f64 -1/2 (pow.f64 M 2))) (.f64 (exp.f64 (neg.f64 l)) (.f64 1/24 (pow.f64 M 4)))))
(+.f64 (.f64 -1/720 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 6))) (+.f64 (exp.f64 (neg.f64 l)) (+.f64 (.f64 -1/2 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 2))) (.f64 1/24 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 4))))))
(+.f64 (exp.f64 (neg.f64 l)) (+.f64 (.f64 (exp.f64 (neg.f64 l)) (.f64 -1/720 (pow.f64 M 6))) (+.f64 (.f64 (exp.f64 (neg.f64 l)) (.f64 -1/2 (pow.f64 M 2))) (.f64 (exp.f64 (neg.f64 l)) (.f64 1/24 (pow.f64 M 4))))))
(+.f64 (exp.f64 (neg.f64 l)) (+.f64 (.f64 (exp.f64 (neg.f64 l)) (.f64 -1/2 (pow.f64 M 2))) (+.f64 (.f64 -1/720 (.f64 (exp.f64 (neg.f64 l)) (pow.f64 M 6))) (.f64 (exp.f64 (neg.f64 l)) (.f64 1/24 (pow.f64 M 4))))))
(+.f64 (exp.f64 (neg.f64 l)) (+.f64 (.f64 (exp.f64 (neg.f64 l)) (.f64 -1/2 (pow.f64 M 2))) (+.f64 (.f64 (exp.f64 (neg.f64 l)) (.f64 1/24 (pow.f64 M 4))) (.f64 (exp.f64 (neg.f64 l)) (.f64 -1/720 (pow.f64 M 6))))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 -1 M)))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 -1 M)))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 -1 M)))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 -1 M)))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(cos.f64 (neg.f64 M))
(+.f64 (.f64 -1 (.f64 (cos.f64 (neg.f64 M)) l)) (cos.f64 (neg.f64 M)))
(+.f64 (cos.f64 (neg.f64 M)) (*.f64 (cos.f64 (neg.f64 M)) (neg.f64 l)))
(+.f64 (cos.f64 (neg.f64 M)) (*.f64 l (neg.f64 (cos.f64 (neg.f64 M)))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (neg.f64 M)) l)) (+.f64 (cos.f64 (neg.f64 M)) (.f64 1/2 (.f64 (cos.f64 (neg.f64 M)) (pow.f64 l 2)))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 (cos.f64 (neg.f64 M)) (neg.f64 l)) (.f64 (cos.f64 (neg.f64 M)) (*.f64 1/2 (pow.f64 l 2)))))
(+.f64 (.f64 l (neg.f64 (cos.f64 (neg.f64 M)))) (+.f64 (cos.f64 (neg.f64 M)) (.f64 (cos.f64 (neg.f64 M)) (*.f64 1/2 (pow.f64 l 2)))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 l (neg.f64 (cos.f64 (neg.f64 M)))) (.f64 (cos.f64 (neg.f64 M)) (*.f64 1/2 (pow.f64 l 2)))))
(+.f64 (.f64 -1 (.f64 (cos.f64 (neg.f64 M)) l)) (+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/6 (.f64 (cos.f64 (neg.f64 M)) (pow.f64 l 3))) (.f64 1/2 (.f64 (cos.f64 (neg.f64 M)) (pow.f64 l 2))))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 (cos.f64 (neg.f64 M)) (neg.f64 l)) (+.f64 (.f64 (cos.f64 (neg.f64 M)) (.f64 1/2 (pow.f64 l 2))) (.f64 (cos.f64 (neg.f64 M)) (*.f64 -1/6 (pow.f64 l 3))))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 l (neg.f64 (cos.f64 (neg.f64 M)))) (+.f64 (.f64 (cos.f64 (neg.f64 M)) (.f64 1/2 (pow.f64 l 2))) (.f64 -1/6 (*.f64 (cos.f64 (neg.f64 M)) (pow.f64 l 3))))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 (cos.f64 (neg.f64 M)) (.f64 1/2 (pow.f64 l 2))) (+.f64 (.f64 l (neg.f64 (cos.f64 (neg.f64 M)))) (.f64 (pow.f64 l 3) (*.f64 -1/6 (cos.f64 (neg.f64 M)))))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1 l)))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1 l)))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1 l)))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1 l)))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(+.f64 (*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l))) 0)
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(+.f64 (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (neg.f64 M)) 0))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(+.f64 (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l))) (.f64 (exp.f64 (neg.f64 l)) 0))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(+.f64 (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l))) (.f64 0 (-.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l)))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(+.f64 (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (neg.f64 M)) (*.f64 (exp.f64 (neg.f64 l)) 0)))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(+.f64 (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l))) (+.f64 (.f64 (cos.f64 (neg.f64 M)) 0) (*.f64 0 (-.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l))))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(+.f64 (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l))) (+.f64 (.f64 (exp.f64 (neg.f64 l)) 0) (*.f64 0 (-.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l))))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(+.f64 (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l))) (-.f64 (.f64 0 (-.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l)))) (*.f64 (cos.f64 (neg.f64 M)) 0)))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(+.f64 (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l))) (-.f64 (.f64 0 (-.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l)))) (*.f64 (exp.f64 (neg.f64 l)) 0)))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(+.f64 (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l))) (-.f64 (.f64 0 (-.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l)))) (.f64 (cos.f64 (neg.f64 M)) (.f64 (exp.f64 (neg.f64 l)) 0))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(+.f64 (*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l))) (/.f64 -1 (/.f64 (/.f64 1 (cos.f64 (neg.f64 M))) 0)))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
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(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(+.f64 (*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l))) (/.f64 -1 (/.f64 (/.f64 1 (exp.f64 (neg.f64 l))) 0)))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(+.f64 (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l))) (/.f64 -1 (/.f64 1 (.f64 (exp.f64 (neg.f64 l)) 0))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(+.f64 0 (*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(+.f64 (.f64 (exp.f64 (neg.f64 l)) (neg.f64 (cos.f64 (neg.f64 M)))) (.f64 (cos.f64 (neg.f64 M)) (*.f64 (exp.f64 (neg.f64 l)) 2)))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(+.f64 (.f64 (cos.f64 (neg.f64 M)) 0) (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(+.f64 (*.f64 (cos.f64 (neg.f64 M)) 0) (/.f64 -1 (/.f64 (/.f64 -1 (cos.f64 (neg.f64 M))) (exp.f64 (neg.f64 l)))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(+.f64 (*.f64 (cos.f64 (neg.f64 M)) 0) (/.f64 -1 (/.f64 (/.f64 -1 (exp.f64 (neg.f64 l))) (cos.f64 (neg.f64 M)))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(+.f64 (.f64 (cos.f64 (neg.f64 M)) 0) (/.f64 -1 (neg.f64 (/.f64 1 (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l)))))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(+.f64 (.f64 (exp.f64 (neg.f64 l)) 0) (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(+.f64 (*.f64 (exp.f64 (neg.f64 l)) 0) (/.f64 -1 (/.f64 (/.f64 -1 (cos.f64 (neg.f64 M))) (exp.f64 (neg.f64 l)))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(+.f64 (*.f64 (exp.f64 (neg.f64 l)) 0) (/.f64 -1 (/.f64 (/.f64 -1 (exp.f64 (neg.f64 l))) (cos.f64 (neg.f64 M)))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
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(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
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(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
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(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
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(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
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(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
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(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
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(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
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(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
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(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
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(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
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(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
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(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
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(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
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(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
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(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
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(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
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(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(-.f64 (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 (neg.f64 M)) 0))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
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(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
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(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(/.f64 1/2 (/.f64 (/.f64 1/2 (cos.f64 (neg.f64 M))) (exp.f64 (neg.f64 l))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(/.f64 1/2 (/.f64 (/.f64 1 (cos.f64 (neg.f64 M))) (*.f64 (exp.f64 (neg.f64 l)) 2)))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(/.f64 1/2 (/.f64 (/.f64 1 (exp.f64 (neg.f64 l))) (*.f64 (cos.f64 (neg.f64 M)) 2)))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(/.f64 1/2 (/.f64 1 (.f64 (cos.f64 (neg.f64 M)) (.f64 (exp.f64 (neg.f64 l)) 2))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(/.f64 1/2 (/.f64 -1 (-.f64 (.f64 (exp.f64 (neg.f64 l)) (neg.f64 (cos.f64 (neg.f64 M)))) (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l))))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(/.f64 (*.f64 (exp.f64 (neg.f64 l)) 1/2) (/.f64 1/2 (cos.f64 (neg.f64 M))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(/.f64 (*.f64 (cos.f64 (neg.f64 M)) 1/2) (/.f64 1/2 (exp.f64 (neg.f64 l))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(/.f64 (-.f64 (.f64 (cos.f64 (neg.f64 M)) 3) (-.f64 (.f64 (cos.f64 (neg.f64 M)) 2) (neg.f64 (*.f64 (cos.f64 (neg.f64 M)) 2)))) (/.f64 -1 (exp.f64 (neg.f64 l))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(/.f64 (-.f64 (.f64 (cos.f64 (neg.f64 M)) 1/2) (.f64 1/2 (*.f64 (cos.f64 (neg.f64 M)) 3))) (/.f64 -1 (exp.f64 (neg.f64 l))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(/.f64 (-.f64 (+.f64 (.f64 (cos.f64 (neg.f64 M)) 3) (.f64 (.f64 (cos.f64 (neg.f64 M)) 2) 2)) (+.f64 (.f64 (.f64 (cos.f64 (neg.f64 M)) 2) 2) (.f64 (*.f64 (cos.f64 (neg.f64 M)) 2) 2))) (/.f64 -1 (exp.f64 (neg.f64 l))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(/.f64 (-.f64 (.f64 (exp.f64 (neg.f64 l)) 3) (-.f64 (.f64 (exp.f64 (neg.f64 l)) 2) (neg.f64 (*.f64 (exp.f64 (neg.f64 l)) 2)))) (/.f64 -1 (cos.f64 (neg.f64 M))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(/.f64 (-.f64 (.f64 (exp.f64 (neg.f64 l)) 1/2) (.f64 1/2 (*.f64 (exp.f64 (neg.f64 l)) 3))) (/.f64 -1 (cos.f64 (neg.f64 M))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(/.f64 (-.f64 (+.f64 (.f64 (exp.f64 (neg.f64 l)) 3) (.f64 (.f64 (exp.f64 (neg.f64 l)) 2) 2)) (+.f64 (.f64 (.f64 (exp.f64 (neg.f64 l)) 2) 2) (.f64 (*.f64 (exp.f64 (neg.f64 l)) 2) 2))) (/.f64 -1 (cos.f64 (neg.f64 M))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(/.f64 (-.f64 (neg.f64 (.f64 (exp.f64 (neg.f64 l)) 3)) (neg.f64 (.f64 (*.f64 (exp.f64 (neg.f64 l)) 2) 2))) (/.f64 1 (cos.f64 (neg.f64 M))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(/.f64 (-.f64 (neg.f64 (.f64 (cos.f64 (neg.f64 M)) 3)) (neg.f64 (.f64 (*.f64 (cos.f64 (neg.f64 M)) 2) 2))) (/.f64 1 (exp.f64 (neg.f64 l))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))
(neg.f64 (*.f64 (exp.f64 (neg.f64 l)) (neg.f64 (cos.f64 (neg.f64 M)))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (neg.f64 M)))

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))
	0.0b	(pow.f64 M 2)
✓	0.0b	(-.f64 (.f64 K (.f64 m 1/2)) M)
✓	22.9b	(cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))

Compiler

Compiled 92 to 43 computations (53.3% saved)

series6.0ms (0%)

Counts

3 → 120

Calls

30 calls:

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

rewrite65.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1052×	`rational.json-1`
1052×	`rational.json-2`
1052×	`rational.json-4`
1052×	`rational.json-3`
850×	`rational.json-simplify-23`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	71
1	118	71
2	385	71
3	2058	71

Stop Event

1×	node limit

Counts

3 → 173

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 m 1/2)) M)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 m 1/2)) M)) (*.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 m 1/2)) M)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (-.f64 (*.f64 K (*.f64 m 1/2)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 m 1/2)) M))) (*.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 m 1/2)) M)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 m 1/2)) M)) 2) (neg.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 m 1/2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 m 1/2)) M)) 0) (cos.f64 (-.f64 (*.f64 K (*.f64 m 1/2)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 m 1/2)) M)) 1/2) (*.f64 1/2 (cos.f64 (-.f64 (*.f64 K (*.f64 m 1/2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 m 1/2)) M)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 m 1/2)) M)) (*.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 m 1/2)) M)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 m 1/2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 -1 (cos.f64 (-.f64 (*.f64 K (*.f64 m 1/2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 m 1/2)) M))) (/.f64 (*.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 m 1/2)) M)) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 m 1/2)) M))) (*.f64 -1 (*.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 m 1/2)) M)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 m 1/2)) M)) 2) (cos.f64 (-.f64 (*.f64 K (*.f64 m 1/2)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 m 1/2)) M)) 2) (*.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 m 1/2)) M)) 2)) (+.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 m 1/2)) M)) (*.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 m 1/2)) M)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 m 1/2)) M)) 2) (*.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 m 1/2)) M)) 2)) (*.f64 1 (+.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 m 1/2)) M)) (*.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 m 1/2)) M)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 m 1/2)) M)) (*.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 m 1/2)) M)) 2)) 1/2) (*.f64 1/2 (cos.f64 (-.f64 (*.f64 K (*.f64 m 1/2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 m 1/2)) M)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 m 1/2)) M)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (-.f64 (*.f64 K (*.f64 m 1/2)) M)))))) 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((x /.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 m 1/2)) M)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (cos.f64 (-.f64 (*.f64 K (*.f64 m 1/2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 1 (neg.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 m 1/2)) M)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 m 1/2)) M))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 m 1/2)) M)) 0) (cos.f64 (-.f64 (*.f64 K (*.f64 m 1/2)) M))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 m 1/2)) M)) (*.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 m 1/2)) M)) 2)) (+.f64 (*.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 m 1/2)) M)) 2) (*.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 m 1/2)) M)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 m 1/2)) M))) (neg.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 m 1/2)) M)))) (neg.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 m 1/2)) M)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 m 1/2)) M))))))))

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

simplify153.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1132×	`rational.json-simplify-13`
766×	`rational.json-simplify-3`
758×	`rational.json-simplify-12`
746×	`rational.json-simplify-63`
600×	`rational.json-simplify-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	448	10231
1	1573	9531
2	7849	9443

Stop Event

1×	node limit

Counts

293 → 282

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

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

localize44.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 n m) -3/2)
✓	0.2b	(/.f64 (+.f64 (+.f64 n m) (*.f64 (+.f64 n m) -3/2)) (/.f64 -1 K))
✓	0.8b	(+.f64 (+.f64 n m) (*.f64 (+.f64 n m) -3/2))
✓	31.9b	(cos.f64 (-.f64 (/.f64 (+.f64 (+.f64 n m) (*.f64 (+.f64 n m) -3/2)) (/.f64 -1 K)) M))

Compiler

Compiled 142 to 62 computations (56.3% saved)

series11.0ms (0.1%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Expression
2.0ms	M	@	(cos.f64 (-.f64 (/.f64 (+.f64 (+.f64 n m) (*.f64 (+.f64 n m) -3/2)) (/.f64 -1 K)) M))
1.0ms	K	@	(/.f64 (+.f64 (+.f64 n m) (*.f64 (+.f64 n m) -3/2)) (/.f64 -1 K))
1.0ms	n	@	(cos.f64 (-.f64 (/.f64 (+.f64 (+.f64 n m) (*.f64 (+.f64 n m) -3/2)) (/.f64 -1 K)) M))
1.0ms	m	@	(cos.f64 (-.f64 (/.f64 (+.f64 (+.f64 n m) (*.f64 (+.f64 n m) -3/2)) (/.f64 -1 K)) M))
1.0ms	K	@	(cos.f64 (-.f64 (/.f64 (+.f64 (+.f64 n m) (*.f64 (+.f64 n m) -3/2)) (/.f64 -1 K)) M))

rewrite67.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1134×	`rational.json-1`
1134×	`rational.json-2`
1132×	`rational.json-4`
1132×	`rational.json-3`
1104×	`rational.json-simplify-42`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	16	122
1	103	82
2	404	82
3	2532	74

Stop Event

1×	node limit

Counts

4 → 267

Calls

Call 1

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

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 (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)) 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 (neg.f64 (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)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) 2) (neg.f64 (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)) 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 (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)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 -1 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))) (.f64 -1 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) 2) (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) 2) 2) (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) 3) 1/2) (.f64 1/2 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) 0) (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) 3) (.f64 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) 2) 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 1/2 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/2 (-.f64 0 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/2 (-.f64 (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)) 3)))))) (#(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 (+.f64 (neg.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))) (neg.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))) -1/2)))) (#(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 (/.f64 1 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 -1 (neg.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (neg.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))) (neg.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))) (neg.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))))))))
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 n m) -3/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 n m) -3/2) (.f64 (+.f64 n m) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 n m) -1/2) (neg.f64 (+.f64 n m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (+.f64 n m) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 n m) 0) (.f64 (+.f64 n m) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 n m)) (.f64 (+.f64 n m) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 n m) 3/2) (.f64 (+.f64 n m) -3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 m -3/2) (.f64 n -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 n -3/2) (.f64 m -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 n m) -3) (.f64 (+.f64 n m) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 n m) -3/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 n m) -3/2) (.f64 (+.f64 n m) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 n m) -1/2) (+.f64 n m))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (+.f64 n m) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 n m) 3/2) (.f64 -1 (.f64 (+.f64 n m) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 n m) 3/2) (.f64 3/2 (.f64 (+.f64 n m) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 n m) -3) (.f64 (+.f64 n m) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (.f64 (+.f64 n m) -3) 2) (.f64 (+.f64 n m) -9/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 n (+.f64 m m)) -3/2) (.f64 m -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 m (+.f64 n n)) -3/2) (.f64 n -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (.f64 (.f64 (+.f64 n m) 2) 2) -3/2) (.f64 (+.f64 n m) -9/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (.f64 (+.f64 n m) -9/2) 1/2) (.f64 1/2 (.f64 (+.f64 n m) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 n m) -2/3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -3/2 (/.f64 1 (+.f64 n m)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 n m) -3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (.f64 (+.f64 n m) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 1 (+.f64 n m)) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 -1 (.f64 (+.f64 n m) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 n m) 3/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (+.f64 n m)) -3/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (.f64 (+.f64 n m) 3/2) (.f64 (+.f64 n m) 3/2)) (.f64 (+.f64 n m) 3/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (.f64 (+.f64 n m) 3/2) (.f64 (+.f64 n m) 3/2)) (.f64 (neg.f64 (+.f64 n m)) -3/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (+.f64 n m) 1/2) (neg.f64 (+.f64 n m))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (+.f64 n m) 1/2) (+.f64 (neg.f64 m) (neg.f64 n))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (neg.f64 (+.f64 n m)) -2) (neg.f64 (+.f64 n m))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 (neg.f64 (+.f64 n m)) -2) (+.f64 (neg.f64 m) (neg.f64 n))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (+.f64 n m) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (neg.f64 (+.f64 n m)) -3/2))))))

simplify130.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1290×	`rational.json-simplify-24`
980×	`rational.json-simplify-50`
698×	`rational.json-simplify-63`
538×	`rational.json-simplify-1`
482×	`rational.json-simplify-42`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	643	14033
1	2053	10099

Stop Event

1×	node limit

Counts

399 → 395

Calls

Call 1

Inputs
(cos.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (*.f64 -3/2 m) m) K)) M))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (.f64 -3/2 m) m) K)) M))))) (cos.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (*.f64 -3/2 m) m) K)) M)))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (.f64 -3/2 m) m) K)) M))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (pow.f64 K 2) (cos.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (.f64 -3/2 m) m) K)) M))))) (cos.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (*.f64 -3/2 m) m) K)) M))))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (.f64 -3/2 m) m) K)) M))))) (+.f64 (.f64 1/48 (.f64 (pow.f64 n 3) (.f64 (pow.f64 K 3) (sin.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (.f64 -3/2 m) m) K)) M))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (pow.f64 K 2) (cos.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (.f64 -3/2 m) m) K)) M))))) (cos.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (*.f64 -3/2 m) m) K)) M)))))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (+.f64 n (+.f64 (*.f64 -3/2 (+.f64 n m)) m)))) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (+.f64 n (+.f64 (*.f64 -3/2 (+.f64 n m)) m)))) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (+.f64 n (+.f64 (*.f64 -3/2 (+.f64 n m)) m)))) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (+.f64 n (+.f64 (*.f64 -3/2 (+.f64 n m)) m)))) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 (-.f64 (+.f64 (.f64 -3/2 (-.f64 m (.f64 -1 n))) m) (*.f64 -1 n)) K)) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 (-.f64 (+.f64 (.f64 -3/2 (-.f64 m (.f64 -1 n))) m) (*.f64 -1 n)) K)) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 (-.f64 (+.f64 (.f64 -3/2 (-.f64 m (.f64 -1 n))) m) (*.f64 -1 n)) K)) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 (-.f64 (+.f64 (.f64 -3/2 (-.f64 m (.f64 -1 n))) m) (*.f64 -1 n)) K)) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (*.f64 -3/2 n) n) K)) M))
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(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (cos.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (.f64 -3/2 n) n) K)) M)) (pow.f64 m 2)))) (+.f64 (.f64 -1/2 (.f64 K (.f64 (sin.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (.f64 -3/2 n) n) K)) M)) m))) (cos.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (*.f64 -3/2 n) n) K)) M))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (cos.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (.f64 -3/2 n) n) K)) M)) (pow.f64 m 2)))) (+.f64 (.f64 -1/2 (.f64 K (.f64 (sin.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (.f64 -3/2 n) n) K)) M)) m))) (+.f64 (cos.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (.f64 -3/2 n) n) K)) M)) (.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (sin.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (*.f64 -3/2 n) n) K)) M)) (pow.f64 m 3)))))))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (+.f64 n (+.f64 (*.f64 -3/2 (+.f64 n m)) m)))) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (+.f64 n (+.f64 (*.f64 -3/2 (+.f64 n m)) m)))) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (+.f64 n (+.f64 (*.f64 -3/2 (+.f64 n m)) m)))) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (+.f64 n (+.f64 (*.f64 -3/2 (+.f64 n m)) m)))) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (-.f64 (+.f64 n (.f64 -3/2 (-.f64 n (.f64 -1 m)))) (*.f64 -1 m)))) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (-.f64 (+.f64 n (.f64 -3/2 (-.f64 n (.f64 -1 m)))) (*.f64 -1 m)))) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (-.f64 (+.f64 n (.f64 -3/2 (-.f64 n (.f64 -1 m)))) (*.f64 -1 m)))) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (-.f64 (+.f64 n (.f64 -3/2 (-.f64 n (.f64 -1 m)))) (*.f64 -1 m)))) M))
(cos.f64 (neg.f64 M))
(+.f64 (cos.f64 (neg.f64 M)) (.f64 K (.f64 (sin.f64 (neg.f64 M)) (+.f64 n (+.f64 (*.f64 -3/2 (+.f64 n m)) m)))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (+.f64 n (+.f64 (.f64 -3/2 (+.f64 n m)) m)))) (.f64 -1/2 (.f64 (cos.f64 (neg.f64 M)) (.f64 (pow.f64 K 2) (pow.f64 (+.f64 n (+.f64 (*.f64 -3/2 (+.f64 n m)) m)) 2))))))
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(*.f64 -1/2 n)
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(*.f64 -1/2 n)
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(*.f64 -1/2 m)
(+.f64 (.f64 -3/2 n) (+.f64 n (.f64 -1/2 m)))
(+.f64 (.f64 -3/2 n) (+.f64 n (.f64 -1/2 m)))
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(.f64 -1 (.f64 (+.f64 (*.f64 -3/2 m) m) K))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -3/2 m) m) K)) (.f64 1/2 (*.f64 n K)))
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(.f64 1/2 (.f64 K m))
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(.f64 -1 (.f64 K (+.f64 n (+.f64 (*.f64 -3/2 (+.f64 n m)) m))))
(.f64 -1 (.f64 K (+.f64 n (+.f64 (*.f64 -3/2 (+.f64 n m)) m))))
(.f64 -1 (.f64 K (+.f64 n (+.f64 (*.f64 -3/2 (+.f64 n m)) m))))
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(*.f64 K (/.f64 1 (/.f64 (/.f64 -1 (+.f64 n m)) -1/2)))
(.f64 K (-.f64 (.f64 (+.f64 n m) 0) (*.f64 (+.f64 n m) -1/2)))
(.f64 K (-.f64 (.f64 (+.f64 n m) -1/2) (/.f64 (*.f64 (+.f64 n m) 2) -2)))
(.f64 K (-.f64 (.f64 (+.f64 n m) -3/2) (*.f64 (neg.f64 (+.f64 n m)) 2)))
(*.f64 K (+.f64 (neg.f64 (+.f64 n m)) (/.f64 1 (/.f64 2/3 (+.f64 n m)))))
(.f64 K (+.f64 (.f64 (+.f64 n m) 3/2) (/.f64 1 (/.f64 -1 (+.f64 n m)))))
(.f64 K (-.f64 (.f64 (+.f64 n m) -3/2) (*.f64 (+.f64 n m) -2)))
(.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) 1)
(.f64 1 (.f64 K (*.f64 (+.f64 n m) 1/2)))
(.f64 (neg.f64 K) (.f64 (+.f64 n m) -1/2))
(.f64 (.f64 (+.f64 n m) (neg.f64 K)) -1/2)
(.f64 (.f64 (+.f64 n m) K) 1/2)
(.f64 1/2 (.f64 (+.f64 n m) K))
(.f64 1/2 (+.f64 (.f64 (+.f64 n m) (.f64 K -2)) (/.f64 (.f64 (+.f64 n m) -3) (/.f64 -1 K))))
(.f64 1/2 (+.f64 (.f64 (+.f64 n m) (*.f64 K -2)) (/.f64 (+.f64 K K) (/.f64 2/3 (+.f64 n m)))))
(.f64 1/2 (+.f64 (.f64 (+.f64 n m) (.f64 K -2)) (.f64 (neg.f64 K) (*.f64 (+.f64 n m) -3))))
(.f64 1/2 (+.f64 (.f64 (neg.f64 K) (.f64 (+.f64 n m) -3)) (/.f64 (.f64 (+.f64 n m) 2) (/.f64 -1 K))))
(.f64 1/2 (+.f64 (.f64 (neg.f64 K) (*.f64 (+.f64 n m) -3)) (/.f64 (+.f64 K K) (/.f64 -1 (+.f64 n m)))))
(.f64 1/2 (+.f64 (.f64 (neg.f64 K) (.f64 (+.f64 n m) -3)) (.f64 (+.f64 n m) (*.f64 K -2))))
(.f64 1/2 (-.f64 (.f64 (+.f64 n m) 0) (*.f64 (+.f64 n m) (neg.f64 K))))
(.f64 1/2 (-.f64 (.f64 (+.f64 n m) (neg.f64 K)) (/.f64 (*.f64 (+.f64 n m) 2) (/.f64 -1 K))))
(.f64 1/2 (-.f64 (.f64 (+.f64 n m) (neg.f64 K)) (/.f64 (+.f64 K K) (/.f64 -1 (+.f64 n m)))))
(.f64 (.f64 K -1/2) (neg.f64 (+.f64 n m)))
(.f64 (.f64 K -1/2) (+.f64 (.f64 (+.f64 n m) 2) (.f64 (+.f64 n m) -3)))
(.f64 (.f64 K -1/2) (+.f64 (.f64 (+.f64 n m) -3) (.f64 (+.f64 n m) 2)))
(.f64 (.f64 (+.f64 n m) 1/2) K)
(.f64 (.f64 (+.f64 n m) 1/2) (/.f64 1/2 (/.f64 1/2 K)))
(.f64 (neg.f64 (+.f64 n m)) (.f64 K -1/2))
(*.f64 (neg.f64 (+.f64 n m)) (+.f64 K (/.f64 3/2 (/.f64 -1 K))))
(.f64 -1/2 (.f64 (+.f64 n m) (neg.f64 K)))
(.f64 -1/2 (-.f64 (.f64 (+.f64 n m) 0) (*.f64 (+.f64 n m) K)))
(.f64 -1/2 (-.f64 (.f64 (+.f64 n m) K) (.f64 (.f64 (+.f64 n m) K) 2)))
(.f64 -1/2 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) (.f64 (+.f64 n m) (*.f64 3/2 K))))
(.f64 (+.f64 K K) (.f64 (+.f64 n m) 1/4))
(.f64 (+.f64 K K) (+.f64 (.f64 (+.f64 n m) -1/2) (/.f64 1/2 (/.f64 2/3 (+.f64 n m)))))
(.f64 (.f64 (+.f64 n m) (*.f64 K -1/2)) -1)
(.f64 (.f64 (+.f64 n m) 2) (+.f64 (.f64 K -1/2) (.f64 -3/2 (*.f64 K -1/2))))
(.f64 (.f64 (+.f64 n m) 1/4) (+.f64 K K))
(.f64 (.f64 (+.f64 n m) 1/4) (/.f64 1 (/.f64 1/2 K)))
(.f64 (.f64 (+.f64 n m) 1/4) (-.f64 (*.f64 (+.f64 K K) 2) (+.f64 K K)))
(.f64 (.f64 (+.f64 n m) 1/4) (-.f64 (*.f64 (+.f64 K K) 2) (/.f64 1 (/.f64 1/2 K))))
(.f64 (.f64 (+.f64 n m) 1/4) (+.f64 0 (/.f64 1 (/.f64 1/2 K))))
(.f64 2 (/.f64 1/2 (/.f64 -2 (.f64 (+.f64 n m) (neg.f64 K)))))
(.f64 2 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) (/.f64 1/2 (/.f64 -2 (.f64 (+.f64 n m) (neg.f64 K))))))
(.f64 (neg.f64 (.f64 K -1/2)) (+.f64 n m))
(.f64 (neg.f64 (.f64 K -1/2)) (-.f64 (neg.f64 (+.f64 n m)) (*.f64 (neg.f64 (+.f64 n m)) 2)))
(.f64 (neg.f64 (.f64 (+.f64 n m) 1/4)) (*.f64 K -2))
(.f64 (neg.f64 (.f64 (+.f64 n m) 1/4)) (-.f64 (+.f64 K K) (/.f64 (+.f64 K K) 1/2)))
(.f64 (neg.f64 (.f64 (+.f64 n m) 1/4)) (-.f64 K (*.f64 K 3)))
(.f64 (.f64 K -2) (neg.f64 (*.f64 (+.f64 n m) 1/4)))
(.f64 (.f64 K -2) (/.f64 1/2 (neg.f64 (/.f64 (/.f64 -1 (+.f64 n m)) -1/2))))
(.f64 (.f64 K -2) (-.f64 (*.f64 (+.f64 n m) 1/4) (/.f64 (neg.f64 (+.f64 n m)) -2)))
(.f64 (.f64 K -2) (-.f64 (*.f64 (+.f64 n m) -1/2) (/.f64 1/2 (neg.f64 (/.f64 (/.f64 -1 (+.f64 n m)) -1/2)))))
(.f64 (.f64 (neg.f64 (+.f64 n m)) 2) (/.f64 1/2 (/.f64 -2 K)))
(.f64 (.f64 (neg.f64 (+.f64 n m)) 2) (-.f64 (*.f64 K -1/2) (/.f64 1/2 (/.f64 -2 K))))
(.f64 (.f64 (*.f64 (+.f64 n m) 1/2) 2) (/.f64 1/2 (/.f64 1 K)))
(neg.f64 (.f64 (+.f64 n m) (.f64 K -1/2)))
(+.f64 (*.f64 (+.f64 n m) -3/2) 0)
(+.f64 (.f64 (+.f64 n m) -3/2) (.f64 (+.f64 n m) 0))
(+.f64 (*.f64 (+.f64 n m) -1/2) (neg.f64 (+.f64 n m)))
(+.f64 0 (*.f64 (+.f64 n m) -3/2))
(+.f64 (.f64 (+.f64 n m) 0) (.f64 (+.f64 n m) -3/2))
(+.f64 (neg.f64 (+.f64 n m)) (*.f64 (+.f64 n m) -1/2))
(+.f64 (.f64 (+.f64 n m) 3/2) (.f64 (+.f64 n m) -3))
(+.f64 (.f64 m -3/2) (.f64 n -3/2))
(+.f64 (.f64 n -3/2) (.f64 m -3/2))
(+.f64 (.f64 (+.f64 n m) -3) (.f64 (+.f64 n m) 3/2))
(-.f64 (*.f64 (+.f64 n m) -3/2) 0)
(-.f64 (.f64 (+.f64 n m) -3/2) (.f64 (+.f64 n m) 0))
(-.f64 (*.f64 (+.f64 n m) -1/2) (+.f64 n m))
(-.f64 0 (*.f64 (+.f64 n m) 3/2))
(-.f64 (.f64 (+.f64 n m) 3/2) (.f64 -1 (*.f64 (+.f64 n m) -3)))
(-.f64 (.f64 (+.f64 n m) 3/2) (.f64 3/2 (*.f64 (+.f64 n m) 2)))
(-.f64 (.f64 (+.f64 n m) -3) (.f64 (+.f64 n m) -3/2))
(-.f64 (.f64 (.f64 (+.f64 n m) -3) 2) (*.f64 (+.f64 n m) -9/2))
(-.f64 (.f64 (+.f64 n (+.f64 m m)) -3/2) (.f64 m -3/2))
(-.f64 (.f64 (+.f64 m (+.f64 n n)) -3/2) (.f64 n -3/2))
(-.f64 (.f64 (.f64 (.f64 (+.f64 n m) 2) 2) -3/2) (.f64 (+.f64 n m) -9/2))
(-.f64 (.f64 (.f64 (+.f64 n m) -9/2) 1/2) (.f64 1/2 (.f64 (+.f64 n m) -3/2)))
(/.f64 (+.f64 n m) -2/3)
(/.f64 -3/2 (/.f64 1 (+.f64 n m)))
(/.f64 (*.f64 (+.f64 n m) -3/2) 1)
(/.f64 1 (/.f64 1 (*.f64 (+.f64 n m) -3/2)))
(/.f64 1 (/.f64 (/.f64 1 (+.f64 n m)) -3/2))
(/.f64 1 (/.f64 -1 (*.f64 (+.f64 n m) 3/2)))
(/.f64 (*.f64 (+.f64 n m) 3/2) -1)
(/.f64 (*.f64 (neg.f64 (+.f64 n m)) -3/2) -1)
(/.f64 (-.f64 (+.f64 (.f64 (+.f64 n m) 3/2) (.f64 (+.f64 n m) 3/2)) (*.f64 (+.f64 n m) 3/2)) -1)
(/.f64 (-.f64 (+.f64 (.f64 (+.f64 n m) 3/2) (.f64 (+.f64 n m) 3/2)) (*.f64 (neg.f64 (+.f64 n m)) -3/2)) -1)
(/.f64 (-.f64 (*.f64 (+.f64 n m) 1/2) (neg.f64 (+.f64 n m))) -1)
(/.f64 (-.f64 (*.f64 (+.f64 n m) 1/2) (+.f64 (neg.f64 m) (neg.f64 n))) -1)
(/.f64 (-.f64 (/.f64 (neg.f64 (+.f64 n m)) -2) (neg.f64 (+.f64 n m))) -1)
(/.f64 (-.f64 (/.f64 (neg.f64 (+.f64 n m)) -2) (+.f64 (neg.f64 m) (neg.f64 n))) -1)
(neg.f64 (*.f64 (+.f64 n m) 3/2))
(neg.f64 (*.f64 (neg.f64 (+.f64 n m)) -3/2))

Outputs
(cos.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (*.f64 -3/2 m) m) K)) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 (+.f64 m (*.f64 -3/2 m)) K)) M))
(cos.f64 (-.f64 (.f64 (+.f64 m (.f64 -3/2 m)) (neg.f64 K)) M))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (.f64 -3/2 m) m) K)) M))))) (cos.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (*.f64 -3/2 m) m) K)) M)))
(+.f64 (cos.f64 (-.f64 (.f64 -1 (.f64 (+.f64 m (.f64 -3/2 m)) K)) M)) (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 -1 (.f64 (+.f64 m (*.f64 -3/2 m)) K)) M))))))
(+.f64 (cos.f64 (-.f64 (.f64 (+.f64 m (.f64 -3/2 m)) (neg.f64 K)) M)) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 (+.f64 m (.f64 -3/2 m)) (neg.f64 K)) M)) (*.f64 K n))))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (.f64 -3/2 m) m) K)) M))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (pow.f64 K 2) (cos.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (.f64 -3/2 m) m) K)) M))))) (cos.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (*.f64 -3/2 m) m) K)) M))))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 -1 (.f64 (+.f64 m (.f64 -3/2 m)) K)) M))))) (+.f64 (cos.f64 (-.f64 (.f64 -1 (.f64 (+.f64 m (.f64 -3/2 m)) K)) M)) (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (cos.f64 (-.f64 (.f64 -1 (.f64 (+.f64 m (*.f64 -3/2 m)) K)) M)) (pow.f64 K 2))))))
(+.f64 (cos.f64 (-.f64 (.f64 (+.f64 m (.f64 -3/2 m)) (neg.f64 K)) M)) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 (+.f64 m (.f64 -3/2 m)) (neg.f64 K)) M)) (.f64 K n))) (.f64 -1/8 (.f64 (cos.f64 (-.f64 (.f64 (+.f64 m (.f64 -3/2 m)) (neg.f64 K)) M)) (.f64 (pow.f64 n 2) (pow.f64 K 2))))))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (.f64 -3/2 m) m) K)) M))))) (+.f64 (.f64 1/48 (.f64 (pow.f64 n 3) (.f64 (pow.f64 K 3) (sin.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (.f64 -3/2 m) m) K)) M))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (pow.f64 K 2) (cos.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (.f64 -3/2 m) m) K)) M))))) (cos.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (*.f64 -3/2 m) m) K)) M)))))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 -1 (.f64 (+.f64 m (.f64 -3/2 m)) K)) M))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (cos.f64 (-.f64 (.f64 -1 (.f64 (+.f64 m (.f64 -3/2 m)) K)) M)) (pow.f64 K 2)))) (+.f64 (.f64 1/48 (.f64 (pow.f64 n 3) (.f64 (sin.f64 (-.f64 (.f64 -1 (.f64 (+.f64 m (.f64 -3/2 m)) K)) M)) (pow.f64 K 3)))) (cos.f64 (-.f64 (.f64 -1 (.f64 (+.f64 m (*.f64 -3/2 m)) K)) M)))))
(+.f64 (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 (+.f64 m (.f64 -3/2 m)) (neg.f64 K)) M)) (.f64 K n))) (+.f64 (cos.f64 (-.f64 (.f64 (+.f64 m (.f64 -3/2 m)) (neg.f64 K)) M)) (+.f64 (.f64 1/48 (.f64 (sin.f64 (-.f64 (.f64 (+.f64 m (.f64 -3/2 m)) (neg.f64 K)) M)) (.f64 (pow.f64 n 3) (pow.f64 K 3)))) (.f64 -1/8 (.f64 (cos.f64 (-.f64 (.f64 (+.f64 m (.f64 -3/2 m)) (neg.f64 K)) M)) (*.f64 (pow.f64 n 2) (pow.f64 K 2)))))))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (+.f64 n (+.f64 (*.f64 -3/2 (+.f64 n m)) m)))) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (+.f64 (*.f64 -3/2 (+.f64 m n)) (+.f64 m n)))) M))
(cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (+.f64 n (+.f64 (*.f64 -3/2 (+.f64 n m)) m)))) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (+.f64 (*.f64 -3/2 (+.f64 m n)) (+.f64 m n)))) M))
(cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (+.f64 n (+.f64 (*.f64 -3/2 (+.f64 n m)) m)))) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (+.f64 (*.f64 -3/2 (+.f64 m n)) (+.f64 m n)))) M))
(cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (+.f64 n (+.f64 (*.f64 -3/2 (+.f64 n m)) m)))) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (+.f64 (*.f64 -3/2 (+.f64 m n)) (+.f64 m n)))) M))
(cos.f64 (-.f64 (.f64 (+.f64 m n) (.f64 K 1/2)) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 (-.f64 (+.f64 (.f64 -3/2 (-.f64 m (.f64 -1 n))) m) (*.f64 -1 n)) K)) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (+.f64 (*.f64 -3/2 (-.f64 m (neg.f64 n))) (-.f64 m (neg.f64 n))))) M))
(cos.f64 (-.f64 (.f64 (+.f64 m (-.f64 (.f64 -3/2 (-.f64 m (neg.f64 n))) (neg.f64 n))) (neg.f64 K)) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 (-.f64 (+.f64 (.f64 -3/2 (-.f64 m (.f64 -1 n))) m) (*.f64 -1 n)) K)) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (+.f64 (*.f64 -3/2 (-.f64 m (neg.f64 n))) (-.f64 m (neg.f64 n))))) M))
(cos.f64 (-.f64 (.f64 (+.f64 m (-.f64 (.f64 -3/2 (-.f64 m (neg.f64 n))) (neg.f64 n))) (neg.f64 K)) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 (-.f64 (+.f64 (.f64 -3/2 (-.f64 m (.f64 -1 n))) m) (*.f64 -1 n)) K)) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (+.f64 (*.f64 -3/2 (-.f64 m (neg.f64 n))) (-.f64 m (neg.f64 n))))) M))
(cos.f64 (-.f64 (.f64 (+.f64 m (-.f64 (.f64 -3/2 (-.f64 m (neg.f64 n))) (neg.f64 n))) (neg.f64 K)) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 (-.f64 (+.f64 (.f64 -3/2 (-.f64 m (.f64 -1 n))) m) (*.f64 -1 n)) K)) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (+.f64 (*.f64 -3/2 (-.f64 m (neg.f64 n))) (-.f64 m (neg.f64 n))))) M))
(cos.f64 (-.f64 (.f64 (+.f64 m (-.f64 (.f64 -3/2 (-.f64 m (neg.f64 n))) (neg.f64 n))) (neg.f64 K)) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (*.f64 -3/2 n) n) K)) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (+.f64 n (*.f64 -3/2 n)))) M))
(cos.f64 (-.f64 (.f64 K (+.f64 (neg.f64 n) (.f64 n 3/2))) M))
(+.f64 (.f64 -1/2 (.f64 K (.f64 (sin.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (.f64 -3/2 n) n) K)) M)) m))) (cos.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (*.f64 -3/2 n) n) K)) M)))
(+.f64 (cos.f64 (-.f64 (.f64 -1 (.f64 K (+.f64 n (.f64 -3/2 n)))) M)) (.f64 -1/2 (.f64 K (.f64 m (sin.f64 (-.f64 (.f64 -1 (.f64 K (+.f64 n (*.f64 -3/2 n)))) M))))))
(+.f64 (cos.f64 (-.f64 (.f64 K (+.f64 (neg.f64 n) (.f64 n 3/2))) M)) (.f64 K (.f64 (sin.f64 (-.f64 (.f64 K (+.f64 (neg.f64 n) (.f64 n 3/2))) M)) (*.f64 m -1/2))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (cos.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (.f64 -3/2 n) n) K)) M)) (pow.f64 m 2)))) (+.f64 (.f64 -1/2 (.f64 K (.f64 (sin.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (.f64 -3/2 n) n) K)) M)) m))) (cos.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (*.f64 -3/2 n) n) K)) M))))
(+.f64 (.f64 -1/2 (.f64 K (.f64 m (sin.f64 (-.f64 (.f64 -1 (.f64 K (+.f64 n (.f64 -3/2 n)))) M))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (cos.f64 (-.f64 (.f64 -1 (.f64 K (+.f64 n (.f64 -3/2 n)))) M)) (pow.f64 m 2)))) (cos.f64 (-.f64 (.f64 -1 (.f64 K (+.f64 n (*.f64 -3/2 n)))) M))))
(+.f64 (+.f64 (cos.f64 (-.f64 (.f64 K (+.f64 (neg.f64 n) (.f64 n 3/2))) M)) (.f64 K (.f64 (sin.f64 (-.f64 (.f64 K (+.f64 (neg.f64 n) (.f64 n 3/2))) M)) (.f64 m -1/2)))) (.f64 -1/8 (.f64 (cos.f64 (-.f64 (.f64 K (+.f64 (neg.f64 n) (.f64 n 3/2))) M)) (.f64 (pow.f64 K 2) (pow.f64 m 2)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (cos.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (.f64 -3/2 n) n) K)) M)) (pow.f64 m 2)))) (+.f64 (.f64 -1/2 (.f64 K (.f64 (sin.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (.f64 -3/2 n) n) K)) M)) m))) (+.f64 (cos.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (.f64 -3/2 n) n) K)) M)) (.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (sin.f64 (-.f64 (.f64 -1 (.f64 (+.f64 (*.f64 -3/2 n) n) K)) M)) (pow.f64 m 3)))))))
(+.f64 (.f64 -1/2 (.f64 K (.f64 m (sin.f64 (-.f64 (.f64 -1 (.f64 K (+.f64 n (.f64 -3/2 n)))) M))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (cos.f64 (-.f64 (.f64 -1 (.f64 K (+.f64 n (.f64 -3/2 n)))) M)) (pow.f64 m 2)))) (+.f64 (cos.f64 (-.f64 (.f64 -1 (.f64 K (+.f64 n (.f64 -3/2 n)))) M)) (.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (sin.f64 (-.f64 (.f64 -1 (.f64 K (+.f64 n (*.f64 -3/2 n)))) M)) (pow.f64 m 3)))))))
(+.f64 (cos.f64 (-.f64 (.f64 K (+.f64 (neg.f64 n) (.f64 n 3/2))) M)) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (-.f64 (.f64 K (+.f64 (neg.f64 n) (.f64 n 3/2))) M)) (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (+.f64 (.f64 K (.f64 (sin.f64 (-.f64 (.f64 K (+.f64 (neg.f64 n) (.f64 n 3/2))) M)) (.f64 m -1/2))) (.f64 (sin.f64 (-.f64 (.f64 K (+.f64 (neg.f64 n) (.f64 n 3/2))) M)) (.f64 1/48 (*.f64 (pow.f64 K 3) (pow.f64 m 3)))))))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (+.f64 n (+.f64 (*.f64 -3/2 (+.f64 n m)) m)))) M))
(cos.f64 (-.f64 (.f64 -1 (.f64 K (+.f64 (*.f64 -3/2 (+.f64 m n)) (+.f64 m n)))) M))
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(.f64 -1 (.f64 K (+.f64 (*.f64 -3/2 (+.f64 m n)) (+.f64 m n))))
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 (neg.f64 (.f64 K -1/2)) (+.f64 n m))
(.f64 -1 (.f64 K (+.f64 (*.f64 -3/2 (+.f64 m n)) (+.f64 m n))))
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 (neg.f64 (.f64 K -1/2)) (-.f64 (neg.f64 (+.f64 n m)) (*.f64 (neg.f64 (+.f64 n m)) 2)))
(.f64 -1 (.f64 K (+.f64 (*.f64 -3/2 (+.f64 m n)) (+.f64 m n))))
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 (neg.f64 (.f64 (+.f64 n m) 1/4)) (*.f64 K -2))
(.f64 -1 (.f64 K (+.f64 (*.f64 -3/2 (+.f64 m n)) (+.f64 m n))))
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 (neg.f64 (.f64 (+.f64 n m) 1/4)) (-.f64 (+.f64 K K) (/.f64 (+.f64 K K) 1/2)))
(.f64 -1 (.f64 K (+.f64 (*.f64 -3/2 (+.f64 m n)) (+.f64 m n))))
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 (neg.f64 (.f64 (+.f64 n m) 1/4)) (-.f64 K (*.f64 K 3)))
(.f64 (.f64 (+.f64 m n) 1/4) (-.f64 (*.f64 K 3) K))
(.f64 (.f64 (+.f64 m n) -1/4) (-.f64 K (*.f64 K 3)))
(.f64 (.f64 K -2) (neg.f64 (*.f64 (+.f64 n m) 1/4)))
(.f64 -1 (.f64 K (+.f64 (*.f64 -3/2 (+.f64 m n)) (+.f64 m n))))
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 (.f64 K -2) (/.f64 1/2 (neg.f64 (/.f64 (/.f64 -1 (+.f64 n m)) -1/2))))
(.f64 -1 (.f64 K (+.f64 (*.f64 -3/2 (+.f64 m n)) (+.f64 m n))))
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 (.f64 K -2) (-.f64 (*.f64 (+.f64 n m) 1/4) (/.f64 (neg.f64 (+.f64 n m)) -2)))
(.f64 -1 (.f64 K (+.f64 (*.f64 -3/2 (+.f64 m n)) (+.f64 m n))))
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 (.f64 K -2) (-.f64 (*.f64 (+.f64 n m) -1/2) (/.f64 1/2 (neg.f64 (/.f64 (/.f64 -1 (+.f64 n m)) -1/2)))))
(.f64 -1 (.f64 K (+.f64 (*.f64 -3/2 (+.f64 m n)) (+.f64 m n))))
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 (.f64 (neg.f64 (+.f64 n m)) 2) (/.f64 1/2 (/.f64 -2 K)))
(.f64 -1 (.f64 K (+.f64 (*.f64 -3/2 (+.f64 m n)) (+.f64 m n))))
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 (.f64 (neg.f64 (+.f64 n m)) 2) (-.f64 (*.f64 K -1/2) (/.f64 1/2 (/.f64 -2 K))))
(.f64 -1 (.f64 K (+.f64 (*.f64 -3/2 (+.f64 m n)) (+.f64 m n))))
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 (.f64 (*.f64 (+.f64 n m) 1/2) 2) (/.f64 1/2 (/.f64 1 K)))
(.f64 -1 (.f64 K (+.f64 (*.f64 -3/2 (+.f64 m n)) (+.f64 m n))))
(.f64 (+.f64 m n) (.f64 K 1/2))
(neg.f64 (.f64 (+.f64 n m) (.f64 K -1/2)))
(.f64 -1 (.f64 K (+.f64 (*.f64 -3/2 (+.f64 m n)) (+.f64 m n))))
(.f64 (+.f64 m n) (.f64 K 1/2))
(+.f64 (*.f64 (+.f64 n m) -3/2) 0)
(*.f64 -3/2 (+.f64 m n))
(+.f64 (.f64 (+.f64 n m) -3/2) (.f64 (+.f64 n m) 0))
(*.f64 -3/2 (+.f64 m n))
(+.f64 (*.f64 (+.f64 n m) -1/2) (neg.f64 (+.f64 n m)))
(*.f64 -3/2 (+.f64 m n))
(+.f64 0 (*.f64 (+.f64 n m) -3/2))
(*.f64 -3/2 (+.f64 m n))
(+.f64 (.f64 (+.f64 n m) 0) (.f64 (+.f64 n m) -3/2))
(*.f64 -3/2 (+.f64 m n))
(+.f64 (neg.f64 (+.f64 n m)) (*.f64 (+.f64 n m) -1/2))
(*.f64 -3/2 (+.f64 m n))
(+.f64 (.f64 (+.f64 n m) 3/2) (.f64 (+.f64 n m) -3))
(*.f64 -3/2 (+.f64 m n))
(+.f64 (.f64 m -3/2) (.f64 n -3/2))
(*.f64 -3/2 (+.f64 m n))
(+.f64 (.f64 n -3/2) (.f64 m -3/2))
(*.f64 -3/2 (+.f64 m n))
(+.f64 (.f64 (+.f64 n m) -3) (.f64 (+.f64 n m) 3/2))
(*.f64 -3/2 (+.f64 m n))
(-.f64 (*.f64 (+.f64 n m) -3/2) 0)
(*.f64 -3/2 (+.f64 m n))
(-.f64 (.f64 (+.f64 n m) -3/2) (.f64 (+.f64 n m) 0))
(*.f64 -3/2 (+.f64 m n))
(-.f64 (*.f64 (+.f64 n m) -1/2) (+.f64 n m))
(*.f64 -3/2 (+.f64 m n))
(-.f64 0 (*.f64 (+.f64 n m) 3/2))
(*.f64 -3/2 (+.f64 m n))
(-.f64 (.f64 (+.f64 n m) 3/2) (.f64 -1 (*.f64 (+.f64 n m) -3)))
(*.f64 -3/2 (+.f64 m n))
(-.f64 (.f64 (+.f64 n m) 3/2) (.f64 3/2 (*.f64 (+.f64 n m) 2)))
(*.f64 -3/2 (+.f64 m n))
(-.f64 (.f64 (+.f64 n m) -3) (.f64 (+.f64 n m) -3/2))
(*.f64 -3/2 (+.f64 m n))
(-.f64 (.f64 (.f64 (+.f64 n m) -3) 2) (*.f64 (+.f64 n m) -9/2))
(*.f64 -3/2 (+.f64 m n))
(-.f64 (.f64 (+.f64 n (+.f64 m m)) -3/2) (.f64 m -3/2))
(-.f64 (.f64 -3/2 (+.f64 n (+.f64 m m))) (.f64 -3/2 m))
(*.f64 -3/2 (+.f64 n (-.f64 (+.f64 m m) m)))
(-.f64 (.f64 (+.f64 m (+.f64 n n)) -3/2) (.f64 n -3/2))
(-.f64 (.f64 -3/2 (+.f64 m (+.f64 n n))) (.f64 -3/2 n))
(*.f64 -3/2 (+.f64 (+.f64 n n) (-.f64 m n)))
(-.f64 (.f64 (.f64 (.f64 (+.f64 n m) 2) 2) -3/2) (.f64 (+.f64 n m) -9/2))
(*.f64 -3/2 (+.f64 m n))
(-.f64 (.f64 (.f64 (+.f64 n m) -9/2) 1/2) (.f64 1/2 (.f64 (+.f64 n m) -3/2)))
(*.f64 -3/2 (+.f64 m n))
(/.f64 (+.f64 n m) -2/3)
(*.f64 -3/2 (+.f64 m n))
(/.f64 -3/2 (/.f64 1 (+.f64 n m)))
(*.f64 -3/2 (+.f64 m n))
(/.f64 (*.f64 (+.f64 n m) -3/2) 1)
(*.f64 -3/2 (+.f64 m n))
(/.f64 1 (/.f64 1 (*.f64 (+.f64 n m) -3/2)))
(*.f64 -3/2 (+.f64 m n))
(/.f64 1 (/.f64 (/.f64 1 (+.f64 n m)) -3/2))
(*.f64 -3/2 (+.f64 m n))
(/.f64 1 (/.f64 -1 (*.f64 (+.f64 n m) 3/2)))
(*.f64 -3/2 (+.f64 m n))
(/.f64 (*.f64 (+.f64 n m) 3/2) -1)
(*.f64 -3/2 (+.f64 m n))
(/.f64 (*.f64 (neg.f64 (+.f64 n m)) -3/2) -1)
(*.f64 -3/2 (+.f64 m n))
(/.f64 (-.f64 (+.f64 (.f64 (+.f64 n m) 3/2) (.f64 (+.f64 n m) 3/2)) (*.f64 (+.f64 n m) 3/2)) -1)
(*.f64 -3/2 (+.f64 m n))
(/.f64 (-.f64 (+.f64 (.f64 (+.f64 n m) 3/2) (.f64 (+.f64 n m) 3/2)) (*.f64 (neg.f64 (+.f64 n m)) -3/2)) -1)
(*.f64 -3/2 (+.f64 m n))
(/.f64 (-.f64 (*.f64 (+.f64 n m) 1/2) (neg.f64 (+.f64 n m))) -1)
(*.f64 -3/2 (+.f64 m n))
(/.f64 (-.f64 (*.f64 (+.f64 n m) 1/2) (+.f64 (neg.f64 m) (neg.f64 n))) -1)
(*.f64 -3/2 (+.f64 m n))
(/.f64 (-.f64 (/.f64 (neg.f64 (+.f64 n m)) -2) (neg.f64 (+.f64 n m))) -1)
(*.f64 -3/2 (+.f64 m n))
(/.f64 (-.f64 (/.f64 (neg.f64 (+.f64 n m)) -2) (+.f64 (neg.f64 m) (neg.f64 n))) -1)
(*.f64 -3/2 (+.f64 m n))
(neg.f64 (*.f64 (+.f64 n m) 3/2))
(*.f64 -3/2 (+.f64 m n))
(neg.f64 (*.f64 (neg.f64 (+.f64 n m)) -3/2))
(*.f64 -3/2 (+.f64 m n))

localize54.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 n m) (*.f64 1/2 (+.f64 n m)))
✓	0.2b	(/.f64 (-.f64 (.f64 2 (+.f64 n m)) (+.f64 (+.f64 n m) (.f64 1/2 (+.f64 n m)))) (/.f64 1 K))
✓	0.8b	(-.f64 (.f64 2 (+.f64 n m)) (+.f64 (+.f64 n m) (.f64 1/2 (+.f64 n m))))
✓	31.8b	(cos.f64 (-.f64 (/.f64 (-.f64 (.f64 2 (+.f64 n m)) (+.f64 (+.f64 n m) (.f64 1/2 (+.f64 n m)))) (/.f64 1 K)) M))

Compiler

Compiled 186 to 82 computations (55.9% saved)

series11.0ms (0.1%)

Counts

4 → 132

Calls

33 calls:

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

rewrite72.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1468×	`rational.json-1`
1468×	`rational.json-2`
1468×	`rational.json-4`
1468×	`rational.json-3`
966×	`rational.json-simplify-44`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	176
1	127	128
2	513	74
3	3706	74

Stop Event

1×	node limit

Counts

4 → 237

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) M)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) M)) (.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) M)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) M))) (.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) M)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) M)) 2) (neg.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) M)) 0) (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) M)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) M)) (.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) M)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) M)) 2) (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) M)) 2) 2) (.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) M)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) M)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) M)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) M))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) M)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (neg.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) M))) (neg.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) M)))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 -1 (neg.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) M)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) M)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) M))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) M))))))))
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 n m) (.f64 (+.f64 n m) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 2 (+.f64 n m)) (.f64 (+.f64 n m) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 n m) 3/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 n m) 3/2) (.f64 (+.f64 n m) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (+.f64 n m) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 n m) 5/2) (+.f64 n m))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 n m) 3) (.f64 (+.f64 n m) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (.f64 (+.f64 n m) 3) 2) (.f64 (.f64 (+.f64 n m) 3/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 n m) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (+.f64 n m)) 3/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (+.f64 n m) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (+.f64 n m) (/.f64 (.f64 (+.f64 n m) 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 n m) 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 n m) 1/2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (+.f64 n m) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 n m) -3/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (.f64 (+.f64 n m) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (+.f64 (.f64 (+.f64 n m) -1/2) (neg.f64 (+.f64 n m))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (+.f64 n m)) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 3/2 (+.f64 n m))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/2 (-.f64 (+.f64 (.f64 (+.f64 n m) -2) (.f64 (+.f64 n m) -2)) (neg.f64 (+.f64 n m))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/2 (-.f64 (+.f64 (.f64 (+.f64 n m) -2) (.f64 (+.f64 n m) -2)) (-.f64 (.f64 (+.f64 n m) 7/2) (.f64 (+.f64 n m) 9/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/2 (+.f64 (.f64 (neg.f64 (+.f64 n m)) 2) (neg.f64 (+.f64 n m))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/2 (+.f64 (.f64 (neg.f64 (+.f64 n m)) 2) (-.f64 (.f64 (+.f64 n m) 7/2) (.f64 (+.f64 n m) 9/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 n m) 3) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (+.f64 n m) -3/2) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 n m) 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (.f64 (+.f64 n m) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 n m) -3/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (+.f64 n m) -1/2) (neg.f64 (+.f64 n m))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (+.f64 n m) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (.f64 (+.f64 n m) -1/2) (neg.f64 (+.f64 n m))))))))

simplify110.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

928×	`rational.json-simplify-24`
786×	`rational.json-simplify-50`
616×	`rational.json-simplify-63`
516×	`rational.json-simplify-1`
488×	`rational.json-simplify-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	585	16673
1	1724	10589

Stop Event

1×	node limit

Counts

369 → 380

Calls

Call 1

Inputs
(cos.f64 (-.f64 (.f64 K (-.f64 (.f64 2 m) (+.f64 (*.f64 1/2 m) m))) M))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 (-.f64 (.f64 2 m) (+.f64 (.f64 1/2 m) m)) K) M))))) (cos.f64 (-.f64 (.f64 K (-.f64 (.f64 2 m) (+.f64 (*.f64 1/2 m) m))) M)))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 (-.f64 (.f64 2 m) (+.f64 (.f64 1/2 m) m)) K) M))))) (+.f64 (cos.f64 (-.f64 (.f64 K (-.f64 (.f64 2 m) (+.f64 (.f64 1/2 m) m))) M)) (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (pow.f64 K 2) (cos.f64 (-.f64 (.f64 K (-.f64 (.f64 2 m) (+.f64 (*.f64 1/2 m) m))) M)))))))
(+.f64 (.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 (-.f64 (.f64 2 m) (+.f64 (.f64 1/2 m) m)) K) M))))) (+.f64 (cos.f64 (-.f64 (.f64 K (-.f64 (.f64 2 m) (+.f64 (.f64 1/2 m) m))) M)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 n 2) (.f64 (pow.f64 K 2) (cos.f64 (-.f64 (.f64 K (-.f64 (.f64 2 m) (+.f64 (.f64 1/2 m) m))) M))))) (.f64 1/48 (.f64 (pow.f64 n 3) (.f64 (pow.f64 K 3) (sin.f64 (-.f64 (.f64 (-.f64 (.f64 2 m) (+.f64 (*.f64 1/2 m) m)) K) M))))))))
(cos.f64 (-.f64 (.f64 K (-.f64 (.f64 2 (+.f64 n m)) (+.f64 n (+.f64 (*.f64 1/2 (+.f64 n m)) m)))) M))
(cos.f64 (-.f64 (.f64 K (-.f64 (.f64 2 (+.f64 n m)) (+.f64 n (+.f64 (*.f64 1/2 (+.f64 n m)) m)))) M))
(cos.f64 (-.f64 (.f64 K (-.f64 (.f64 2 (+.f64 n m)) (+.f64 n (+.f64 (*.f64 1/2 (+.f64 n m)) m)))) M))
(cos.f64 (-.f64 (.f64 K (-.f64 (.f64 2 (+.f64 n m)) (+.f64 n (+.f64 (*.f64 1/2 (+.f64 n m)) m)))) M))
(cos.f64 (-.f64 (.f64 K (-.f64 (+.f64 (.f64 2 (-.f64 m (.f64 -1 n))) (.f64 -1 n)) (+.f64 m (.f64 1/2 (-.f64 m (.f64 -1 n)))))) M))
(cos.f64 (-.f64 (.f64 K (-.f64 (+.f64 (.f64 2 (-.f64 m (.f64 -1 n))) (.f64 -1 n)) (+.f64 m (.f64 1/2 (-.f64 m (.f64 -1 n)))))) M))
(cos.f64 (-.f64 (.f64 K (-.f64 (+.f64 (.f64 2 (-.f64 m (.f64 -1 n))) (.f64 -1 n)) (+.f64 m (.f64 1/2 (-.f64 m (.f64 -1 n)))))) M))
(cos.f64 (-.f64 (.f64 K (-.f64 (+.f64 (.f64 2 (-.f64 m (.f64 -1 n))) (.f64 -1 n)) (+.f64 m (.f64 1/2 (-.f64 m (.f64 -1 n)))))) M))
(cos.f64 (-.f64 (.f64 K (-.f64 (.f64 2 n) (+.f64 n (*.f64 1/2 n)))) M))
(+.f64 (cos.f64 (-.f64 (.f64 K (-.f64 (.f64 2 n) (+.f64 n (.f64 1/2 n)))) M)) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 (-.f64 (.f64 2 n) (+.f64 n (.f64 1/2 n))) K) M)) (*.f64 K m))))
(+.f64 (cos.f64 (-.f64 (.f64 K (-.f64 (.f64 2 n) (+.f64 n (.f64 1/2 n)))) M)) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 (-.f64 (.f64 2 n) (+.f64 n (.f64 1/2 n))) K) M)) (.f64 K m))) (.f64 -1/8 (.f64 (cos.f64 (-.f64 (.f64 K (-.f64 (.f64 2 n) (+.f64 n (.f64 1/2 n)))) M)) (*.f64 (pow.f64 K 2) (pow.f64 m 2))))))
(+.f64 (cos.f64 (-.f64 (.f64 K (-.f64 (.f64 2 n) (+.f64 n (.f64 1/2 n)))) M)) (+.f64 (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 (-.f64 (.f64 2 n) (+.f64 n (.f64 1/2 n))) K) M)) (.f64 K m))) (+.f64 (.f64 -1/8 (.f64 (cos.f64 (-.f64 (.f64 K (-.f64 (.f64 2 n) (+.f64 n (.f64 1/2 n)))) M)) (.f64 (pow.f64 K 2) (pow.f64 m 2)))) (.f64 1/48 (.f64 (sin.f64 (-.f64 (.f64 (-.f64 (.f64 2 n) (+.f64 n (.f64 1/2 n))) K) M)) (*.f64 (pow.f64 K 3) (pow.f64 m 3)))))))
(cos.f64 (-.f64 (.f64 K (-.f64 (.f64 2 (+.f64 n m)) (+.f64 n (+.f64 (*.f64 1/2 (+.f64 n m)) m)))) M))
(cos.f64 (-.f64 (.f64 K (-.f64 (.f64 2 (+.f64 n m)) (+.f64 n (+.f64 (*.f64 1/2 (+.f64 n m)) m)))) M))
(cos.f64 (-.f64 (.f64 K (-.f64 (.f64 2 (+.f64 n m)) (+.f64 n (+.f64 (*.f64 1/2 (+.f64 n m)) m)))) M))
(cos.f64 (-.f64 (.f64 K (-.f64 (.f64 2 (+.f64 n m)) (+.f64 n (+.f64 (*.f64 1/2 (+.f64 n m)) m)))) M))
(cos.f64 (-.f64 (.f64 K (-.f64 (+.f64 (.f64 2 (-.f64 n (.f64 -1 m))) (.f64 -1 m)) (+.f64 n (.f64 1/2 (-.f64 n (.f64 -1 m)))))) M))
(cos.f64 (-.f64 (.f64 K (-.f64 (+.f64 (.f64 2 (-.f64 n (.f64 -1 m))) (.f64 -1 m)) (+.f64 n (.f64 1/2 (-.f64 n (.f64 -1 m)))))) M))
(cos.f64 (-.f64 (.f64 K (-.f64 (+.f64 (.f64 2 (-.f64 n (.f64 -1 m))) (.f64 -1 m)) (+.f64 n (.f64 1/2 (-.f64 n (.f64 -1 m)))))) M))
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(+.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) (-.f64 (.f64 (+.f64 n m) 0) (.f64 0 K)))
(+.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) (-.f64 (.f64 0 K) (.f64 (+.f64 n m) 0)))
(+.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) (/.f64 0 (/.f64 2 K)))
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(+.f64 0 (.f64 (+.f64 n m) (.f64 1/2 K)))
(+.f64 (.f64 2 (.f64 (+.f64 n m) K)) (.f64 3/2 (.f64 (+.f64 n m) (neg.f64 K))))
(+.f64 (.f64 2 (.f64 (+.f64 n m) K)) (.f64 K (.f64 (+.f64 n m) -3/2)))
(+.f64 (.f64 2 (.f64 (+.f64 n m) K)) (-.f64 (.f64 (+.f64 n m) (neg.f64 K)) (.f64 (+.f64 n m) (*.f64 1/2 K))))
(+.f64 (.f64 2 (.f64 (+.f64 n m) K)) (-.f64 (.f64 (+.f64 n m) K) (.f64 K (*.f64 (+.f64 n m) 5/2))))
(+.f64 (.f64 2 (.f64 (+.f64 n m) K)) (/.f64 (*.f64 (+.f64 n m) -3) (/.f64 2 K)))
(+.f64 (.f64 (.f64 (+.f64 n m) 3/2) K) (*.f64 (+.f64 n m) (neg.f64 K)))
(+.f64 (.f64 (+.f64 n m) K) (.f64 K (*.f64 (+.f64 n m) -1/2)))
(+.f64 (*.f64 (+.f64 n m) K) (/.f64 (neg.f64 (+.f64 n m)) (/.f64 2 K)))
(+.f64 (.f64 (+.f64 n m) (neg.f64 K)) (.f64 (*.f64 (+.f64 n m) 3/2) K))
(+.f64 (.f64 0 K) (.f64 (+.f64 n m) (*.f64 1/2 K)))
(+.f64 (.f64 K (.f64 (+.f64 n m) 4)) (neg.f64 (.f64 K (.f64 (+.f64 n m) 7/2))))
(+.f64 (.f64 3/2 (.f64 (+.f64 n m) (neg.f64 K))) (.f64 2 (.f64 (+.f64 n m) K)))
(+.f64 (.f64 K (.f64 (+.f64 n m) -1/2)) (*.f64 (+.f64 n m) K))
(+.f64 (.f64 n (+.f64 K K)) (.f64 K (+.f64 (+.f64 m m) (*.f64 (+.f64 n m) -3/2))))
(+.f64 (.f64 n (+.f64 K K)) (/.f64 (+.f64 (+.f64 m m) (.f64 (+.f64 n m) -3/2)) (/.f64 1 K)))
(+.f64 (.f64 (+.f64 n m) 0) (.f64 (+.f64 n m) (*.f64 1/2 K)))
(+.f64 (neg.f64 (.f64 0 K)) (.f64 (+.f64 n m) (*.f64 1/2 K)))
(+.f64 (neg.f64 (.f64 (+.f64 n m) 0)) (.f64 (+.f64 n m) (*.f64 1/2 K)))
(+.f64 (neg.f64 (.f64 K (.f64 (+.f64 n m) 7/2))) (.f64 K (.f64 (+.f64 n m) 4)))
(+.f64 (-.f64 K K) (.f64 (+.f64 n m) (.f64 1/2 K)))
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(+.f64 (-.f64 (.f64 0 K) (.f64 0 K)) (.f64 (+.f64 n m) (.f64 1/2 K)))
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(+.f64 (-.f64 (.f64 0 K) (.f64 (+.f64 n m) 0)) (.f64 (+.f64 n m) (.f64 1/2 K)))
(+.f64 (.f64 K (.f64 (+.f64 n m) -3/2)) (.f64 2 (.f64 (+.f64 n m) K)))
(+.f64 (.f64 K (+.f64 (+.f64 m m) (.f64 (+.f64 n m) -3/2))) (*.f64 n (+.f64 K K)))
(+.f64 (-.f64 (.f64 (+.f64 n m) (neg.f64 K)) (.f64 (+.f64 n m) (.f64 1/2 K))) (.f64 2 (*.f64 (+.f64 n m) K)))
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(+.f64 (.f64 1 (.f64 0 K)) (.f64 (+.f64 n m) (.f64 1/2 K)))
(+.f64 (.f64 (.f64 (+.f64 n m) 1/2) (.f64 1/2 K)) (.f64 (.f64 1/2 K) (.f64 (+.f64 n m) 1/2)))
(+.f64 (.f64 (.f64 1/2 K) (.f64 (+.f64 n m) 1/2)) (.f64 (.f64 (+.f64 n m) 1/2) (.f64 1/2 K)))
(+.f64 (.f64 (.f64 1/2 K) 0) (.f64 (+.f64 n m) (.f64 1/2 K)))
(+.f64 (/.f64 (.f64 n 1/2) (/.f64 1 K)) (/.f64 (.f64 m 1/2) (/.f64 1 K)))
(+.f64 (/.f64 (.f64 m 1/2) (/.f64 1 K)) (/.f64 (.f64 n 1/2) (/.f64 1 K)))
(+.f64 (/.f64 (+.f64 (+.f64 m m) (.f64 (+.f64 n m) -3/2)) (/.f64 1 K)) (.f64 n (+.f64 K K)))
(+.f64 (/.f64 (neg.f64 (+.f64 n m)) (/.f64 2 K)) (*.f64 (+.f64 n m) K))
(+.f64 (/.f64 (.f64 (+.f64 n m) 1/2) (/.f64 2 K)) (/.f64 (.f64 (+.f64 n m) 1/2) (/.f64 2 K)))
(+.f64 (/.f64 (.f64 (+.f64 n m) -3) (/.f64 2 K)) (.f64 2 (*.f64 (+.f64 n m) K)))
(-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) 0)
(-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) (*.f64 0 K))
(-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) (*.f64 (+.f64 n m) 0))
(-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) (neg.f64 (*.f64 0 K)))
(-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) (neg.f64 (*.f64 (+.f64 n m) 0)))
(-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) (-.f64 K K))
(-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) (.f64 (.f64 (+.f64 n m) K) 0))
(-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) (-.f64 (.f64 0 K) (.f64 0 K)))
(-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) (-.f64 (.f64 (+.f64 n m) 0) (.f64 0 K)))
(-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) (-.f64 (.f64 0 K) (.f64 (+.f64 n m) 0)))
(-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) (/.f64 0 (/.f64 2 K)))
(-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) (.f64 1 (.f64 0 K)))
(-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) (.f64 (.f64 1/2 K) 0))
(-.f64 0 (.f64 K (.f64 (+.f64 n m) -1/2)))
(-.f64 (.f64 2 (.f64 (+.f64 n m) K)) (.f64 (.f64 (+.f64 n m) 3/2) K))
(-.f64 (.f64 (.f64 (+.f64 n m) 3/2) K) (*.f64 (+.f64 n m) K))
(-.f64 (.f64 (+.f64 n m) K) (.f64 (+.f64 n m) (*.f64 1/2 K)))
(-.f64 (.f64 0 K) (.f64 K (*.f64 (+.f64 n m) -1/2)))
(-.f64 (.f64 K (.f64 (+.f64 n m) 4)) (.f64 K (.f64 (+.f64 n m) 7/2)))
(-.f64 (.f64 K (.f64 (+.f64 n m) 7/2)) (.f64 (+.f64 n m) (.f64 K 3)))
(-.f64 (.f64 3/2 (.f64 (+.f64 n m) (neg.f64 K))) (.f64 2 (.f64 (+.f64 n m) (neg.f64 K))))
(-.f64 (.f64 2 (.f64 (+.f64 n m) (neg.f64 K))) (-.f64 (.f64 3/2 (.f64 (+.f64 n m) (neg.f64 K))) (*.f64 (+.f64 n m) K)))
(-.f64 (.f64 (+.f64 n m) 0) (.f64 K (*.f64 (+.f64 n m) -1/2)))
(-.f64 (.f64 (+.f64 n m) 0) (/.f64 (neg.f64 K) (/.f64 1 (.f64 (+.f64 n m) 1/2))))
(-.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 4)) (.f64 (+.f64 n m) 0)) (.f64 K (*.f64 (+.f64 n m) 7/2)))
(-.f64 (-.f64 (.f64 3/2 (.f64 (+.f64 n m) (neg.f64 K))) (.f64 (+.f64 n m) 0)) (.f64 2 (*.f64 (+.f64 n m) (neg.f64 K))))
(-.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 5/2)) (.f64 (+.f64 n m) (.f64 1/2 K))) (.f64 (.f64 (+.f64 n m) 3/2) K))
(-.f64 (/.f64 (.f64 (+.f64 n m) 8) (/.f64 1 K)) (/.f64 (.f64 (+.f64 n m) 15/2) (/.f64 1 K)))
(-.f64 (/.f64 (.f64 (+.f64 n m) -3) (/.f64 1 K)) (/.f64 (.f64 (+.f64 n m) 7/2) (/.f64 -1 K)))
(-.f64 (/.f64 (.f64 (+.f64 n m) 7/2) (/.f64 -1 K)) (/.f64 (.f64 (+.f64 n m) 4) (/.f64 -1 K)))
(-.f64 (/.f64 (.f64 (+.f64 n m) 5/2) (/.f64 2 K)) (/.f64 (.f64 (+.f64 n m) 3/2) (/.f64 2 K)))
(-.f64 (/.f64 (.f64 (+.f64 n m) 9/2) (/.f64 2 K)) (/.f64 (.f64 (+.f64 n m) 7/2) (/.f64 2 K)))
(-.f64 (.f64 (.f64 (+.f64 n m) 8) K) (.f64 K (.f64 (+.f64 n m) 15/2)))
(-.f64 (.f64 (.f64 (+.f64 n m) 5/2) (.f64 1/2 K)) (.f64 (.f64 1/2 K) (.f64 (+.f64 n m) 3/2)))
(-.f64 (.f64 (.f64 (+.f64 n m) 9/2) (.f64 1/2 K)) (.f64 (.f64 1/2 K) (.f64 (+.f64 n m) 7/2)))
(-.f64 (.f64 0 (.f64 (+.f64 n m) -1/2)) (.f64 (.f64 (+.f64 n m) -1/2) K))
(-.f64 (.f64 (.f64 K (.f64 (+.f64 n m) 4)) 2) (+.f64 (.f64 K (.f64 (+.f64 n m) 4)) (.f64 K (*.f64 (+.f64 n m) 7/2))))
(-.f64 (.f64 (.f64 3/2 (.f64 (+.f64 n m) (neg.f64 K))) 2) (+.f64 (.f64 3/2 (.f64 (+.f64 n m) (neg.f64 K))) (.f64 2 (*.f64 (+.f64 n m) (neg.f64 K)))))
(.f64 2 (/.f64 1/2 (/.f64 2 (.f64 (+.f64 n m) K))))
(.f64 2 (-.f64 (.f64 (+.f64 n m) K) (/.f64 1/2 (/.f64 2 (.f64 (+.f64 n m) (.f64 K 3))))))
(.f64 2 (-.f64 (.f64 (+.f64 n m) (.f64 1/2 K)) (/.f64 1/2 (/.f64 2 (.f64 (+.f64 n m) K)))))
(.f64 (+.f64 n m) (.f64 1/2 K))
(.f64 (.f64 2 (+.f64 n m)) (/.f64 1/2 (/.f64 2 K)))
(.f64 (.f64 2 (+.f64 n m)) (-.f64 (*.f64 1/2 K) (/.f64 1/2 (/.f64 2 K))))
(.f64 1/2 (.f64 (+.f64 n m) K))
(.f64 1/2 (-.f64 (.f64 K (.f64 (+.f64 n m) 4)) (/.f64 (.f64 (+.f64 n m) -3) (/.f64 -1 K))))
(.f64 1/2 (-.f64 (.f64 K (.f64 (+.f64 n m) 4)) (/.f64 (+.f64 K K) (/.f64 1 (.f64 (+.f64 n m) 3/2)))))
(.f64 1/2 (-.f64 (.f64 K (.f64 (+.f64 n m) 4)) (.f64 (+.f64 n m) (*.f64 K 3))))
(.f64 1/2 (-.f64 (.f64 (+.f64 n m) (.f64 K 3)) (.f64 2 (*.f64 (+.f64 n m) K))))
(.f64 (.f64 (+.f64 n m) 1/2) K)
(.f64 1 (.f64 (+.f64 n m) (*.f64 1/2 K)))
(.f64 K (.f64 (+.f64 n m) 1/2))
(.f64 K (-.f64 (.f64 (*.f64 (+.f64 n m) 3/4) 2) (+.f64 n m)))
(.f64 (.f64 (+.f64 n m) (*.f64 1/2 K)) 1)
(.f64 (.f64 (+.f64 n m) -1/2) (neg.f64 K))
(.f64 (.f64 (+.f64 n m) -1/2) (/.f64 -1 (/.f64 1 K)))
(.f64 (.f64 (+.f64 n m) -1/2) (/.f64 1 (/.f64 -1 K)))
(.f64 (.f64 (+.f64 n m) K) 1/2)
(.f64 (.f64 1/2 K) (+.f64 n m))
(.f64 (+.f64 K K) (.f64 (+.f64 n m) 1/4))
(.f64 (+.f64 K K) (-.f64 (+.f64 n m) (/.f64 1/2 (/.f64 1 (.f64 (+.f64 n m) 3/2)))))
(.f64 (+.f64 K K) (-.f64 (.f64 (+.f64 n m) 3/4) (*.f64 (+.f64 n m) 1/2)))
(.f64 -1 (.f64 K (*.f64 (+.f64 n m) -1/2)))
(.f64 (neg.f64 K) (.f64 (+.f64 n m) -1/2))
(.f64 (.f64 K (*.f64 (+.f64 n m) -1/2)) -1)
(.f64 (neg.f64 (+.f64 n m)) (neg.f64 (.f64 1/2 K)))
(.f64 (.f64 (+.f64 n m) 1/4) (+.f64 K K))
(.f64 (.f64 (+.f64 n m) 1/4) (-.f64 (*.f64 K 4) (+.f64 K K)))
(.f64 (neg.f64 (.f64 1/2 K)) (neg.f64 (+.f64 n m)))
(.f64 (neg.f64 (.f64 1/2 K)) (-.f64 (.f64 (+.f64 n m) 7/2) (.f64 (+.f64 n m) 9/2)))
(.f64 (neg.f64 (.f64 1/2 K)) (-.f64 (*.f64 (neg.f64 (+.f64 n m)) 2) (neg.f64 (+.f64 n m))))
(.f64 (+.f64 (neg.f64 K) (neg.f64 K)) (/.f64 1/2 (neg.f64 (/.f64 1 (.f64 (+.f64 n m) 1/2)))))
(.f64 (.f64 (.f64 K (.f64 (+.f64 n m) -1/2)) 2) -1/2)
(neg.f64 (.f64 K (.f64 (+.f64 n m) -1/2)))
(neg.f64 (.f64 (neg.f64 K) (.f64 (+.f64 n m) 1/2)))
(neg.f64 (/.f64 (neg.f64 K) (/.f64 1 (*.f64 (+.f64 n m) 1/2))))
(neg.f64 (.f64 (.f64 (+.f64 n m) -1/2) K))
(-.f64 (+.f64 n m) (*.f64 (+.f64 n m) -1/2))
(-.f64 (.f64 2 (+.f64 n m)) (.f64 (+.f64 n m) 1/2))
(-.f64 (*.f64 (+.f64 n m) 3/2) 0)
(-.f64 (.f64 (+.f64 n m) 3/2) (.f64 (+.f64 n m) 0))
(-.f64 0 (*.f64 (+.f64 n m) -3/2))
(-.f64 (*.f64 (+.f64 n m) 5/2) (+.f64 n m))
(-.f64 (.f64 (+.f64 n m) 3) (.f64 (+.f64 n m) 3/2))
(-.f64 (.f64 (.f64 (+.f64 n m) 3) 2) (.f64 (.f64 (+.f64 n m) 3/2) 3))
(*.f64 (+.f64 n m) 3/2)
(.f64 (.f64 2 (+.f64 n m)) 3/4)
(.f64 1/2 (.f64 (+.f64 n m) 3))
(.f64 1/2 (+.f64 (+.f64 n m) (/.f64 (.f64 (+.f64 n m) 4) 2)))
(.f64 (.f64 (+.f64 n m) 3/2) 1)
(.f64 (.f64 (+.f64 n m) 1/2) 3)
(.f64 1 (.f64 (+.f64 n m) 3/2))
(.f64 (.f64 (+.f64 n m) -3/2) -1)
(.f64 -1 (.f64 (+.f64 n m) -3/2))
(.f64 -1 (+.f64 (.f64 (+.f64 n m) -1/2) (neg.f64 (+.f64 n m))))
(*.f64 (neg.f64 (+.f64 n m)) -3/2)
(*.f64 3/2 (+.f64 n m))
(.f64 -1/2 (-.f64 (+.f64 (.f64 (+.f64 n m) -2) (*.f64 (+.f64 n m) -2)) (neg.f64 (+.f64 n m))))
(.f64 -1/2 (-.f64 (+.f64 (.f64 (+.f64 n m) -2) (.f64 (+.f64 n m) -2)) (-.f64 (.f64 (+.f64 n m) 7/2) (*.f64 (+.f64 n m) 9/2))))
(.f64 -1/2 (+.f64 (.f64 (neg.f64 (+.f64 n m)) 2) (neg.f64 (+.f64 n m))))
(.f64 -1/2 (+.f64 (.f64 (neg.f64 (+.f64 n m)) 2) (-.f64 (.f64 (+.f64 n m) 7/2) (.f64 (+.f64 n m) 9/2))))
(.f64 (.f64 (+.f64 n m) 3) 1/2)
(.f64 (.f64 (*.f64 (+.f64 n m) -3/2) 2) -1/2)
(/.f64 (*.f64 (+.f64 n m) 3/2) 1)
(/.f64 1 (/.f64 1 (*.f64 (+.f64 n m) 3/2)))
(/.f64 (*.f64 (+.f64 n m) -3/2) -1)
(/.f64 (+.f64 (*.f64 (+.f64 n m) -1/2) (neg.f64 (+.f64 n m))) -1)
(neg.f64 (*.f64 (+.f64 n m) -3/2))
(neg.f64 (+.f64 (*.f64 (+.f64 n m) -1/2) (neg.f64 (+.f64 n m))))

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

eval891.0ms (5.8%)

Compiler: Compiled 55156 to 28082 computations (49.1% saved)

prune905.0ms (5.9%)

Pruning

31 alts after pruning (30 fresh and 1 done)

	Pruned	Kept	Total
New	1660	23	1683
Fresh	11	7	18
Picked	1	0	1
Done	3	1	4
Total	1675	31	1706

Error

2.1b

Counts

1706 → 31

Alt Table

Click to see full alt table

Status	Error	Program
	39.5b	(/.f64 (exp.f64 (neg.f64 l)) (/.f64 1 (cos.f64 (neg.f64 M))))
	39.5b	(/.f64 (cos.f64 (neg.f64 M)) (/.f64 1 (exp.f64 (neg.f64 l))))
	58.4b	(+.f64 (cos.f64 (neg.f64 M)) (*.f64 (cos.f64 (neg.f64 M)) (neg.f64 l)))
	32.5b	(.f64 (+.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (.f64 K m)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
	14.2b	(.f64 (cos.f64 (-.f64 (/.f64 (-.f64 (.f64 K 48) (+.f64 (.f64 K 13) (.f64 K 36))) (/.f64 -2 (+.f64 n m))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	14.2b	(.f64 (cos.f64 (-.f64 (/.f64 (-.f64 (.f64 K 36) (*.f64 K 37)) (/.f64 -2 (+.f64 n m))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	32.4b	(.f64 (cos.f64 (-.f64 (/.f64 (-.f64 (.f64 2 (+.f64 n m)) (*.f64 n 3/2)) (/.f64 1 K)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
▶	32.4b	(.f64 (cos.f64 (-.f64 (/.f64 (-.f64 (.f64 2 (+.f64 n m)) (*.f64 m 3/2)) (/.f64 1 K)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
	32.3b	(.f64 (cos.f64 (-.f64 (/.f64 (+.f64 (+.f64 n m) (.f64 -3/2 m)) (/.f64 -1 K)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
	30.1b	(.f64 (cos.f64 (-.f64 (/.f64 (+.f64 (.f64 -3/2 n) n) (/.f64 -1 K)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
	32.3b	(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
▶	34.5b	(.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 (pow.f64 m 2) 1/4))))
	14.4b	(.f64 (cos.f64 (-.f64 (-.f64 (/.f64 (.f64 K 25) (/.f64 2 (+.f64 m n))) (/.f64 (*.f64 K 24) (/.f64 2 (+.f64 m n)))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	32.2b	(.f64 (cos.f64 (-.f64 (-.f64 (.f64 (.f64 (+.f64 n m) 8) K) (.f64 K (*.f64 (+.f64 n m) 15/2))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
	32.3b	(.f64 (cos.f64 (-.f64 (-.f64 (.f64 (.f64 (+.f64 n m) 3/2) K) (.f64 (+.f64 n m) K)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
	32.2b	(.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (+.f64 (*.f64 3/2 K) (neg.f64 K))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
▶	14.1b	(.f64 (cos.f64 (-.f64 (.f64 (.f64 (+.f64 m n) -1/4) (-.f64 (.f64 K 24) (+.f64 K (*.f64 K 25)))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	30.0b	(.f64 (cos.f64 (-.f64 (.f64 (*.f64 K n) 1/2) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
	32.2b	(.f64 (cos.f64 (-.f64 (.f64 (neg.f64 (+.f64 n m)) (+.f64 K (/.f64 3/2 (/.f64 -1 K)))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
	32.3b	(.f64 (cos.f64 (-.f64 (.f64 K (+.f64 (*.f64 (+.f64 n m) 3/2) (/.f64 1 (/.f64 -1 (+.f64 n m))))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
	30.1b	(.f64 (cos.f64 (-.f64 (.f64 K (+.f64 (neg.f64 n) (*.f64 n 3/2))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
	48.9b	(.f64 (cos.f64 (-.f64 (.f64 K (*.f64 m 1/2)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))
	42.9b	(.f64 (cos.f64 (-.f64 (.f64 K (*.f64 m 1/2)) M)) (exp.f64 (neg.f64 l)))
	32.3b	(.f64 (cos.f64 (-.f64 (.f64 -1/2 (.f64 (+.f64 m n) (-.f64 (.f64 K 3) (*.f64 K 4)))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
	32.4b	(.f64 (cos.f64 (.f64 (+.f64 n m) (*.f64 K 1/2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
	29.8b	(.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1/4 (pow.f64 n 2))))
▶	28.3b	(.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1/4 (pow.f64 m 2))))
	25.7b	(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 (pow.f64 M 2))))
✓	39.5b	(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l)))
	39.5b	(exp.f64 (neg.f64 l))
▶	58.1b	(cos.f64 (neg.f64 M))

Compiler

Compiled 1626 to 1174 computations (27.8% saved)

localize89.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
✓	0.2b	(+.f64 K (*.f64 K 25))
✓	2.2b	(-.f64 (.f64 K 24) (+.f64 K (.f64 K 25)))
✓	32.0b	(cos.f64 (-.f64 (.f64 (.f64 (+.f64 m n) -1/4) (-.f64 (.f64 K 24) (+.f64 K (.f64 K 25)))) M))

Compiler

Compiled 195 to 100 computations (48.7% saved)

series5.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	m	@	0	(cos.f64 (-.f64 (.f64 (.f64 (+.f64 m n) -1/4) (-.f64 (.f64 K 24) (+.f64 K (.f64 K 25)))) M))
1.0ms	n	@	0	(cos.f64 (-.f64 (.f64 (.f64 (+.f64 m n) -1/4) (-.f64 (.f64 K 24) (+.f64 K (.f64 K 25)))) M))
1.0ms	M	@	0	(cos.f64 (-.f64 (.f64 (.f64 (+.f64 m n) -1/4) (-.f64 (.f64 K 24) (+.f64 K (.f64 K 25)))) M))
0.0ms	K	@	0	(-.f64 (.f64 K 24) (+.f64 K (.f64 K 25)))
0.0ms	K	@	inf	(-.f64 (.f64 K 24) (+.f64 K (.f64 K 25)))

rewrite53.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1228×	`rational.json-1`
1228×	`rational.json-2`
1228×	`rational.json-4`
1228×	`rational.json-3`
812×	`rational.json-simplify-13`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	91
1	115	73
2	396	49
3	2507	47

Stop Event

1×	node limit

Counts

3 → 85

Calls

Call 1

Inputs
(cos.f64 (-.f64 (.f64 (.f64 (+.f64 m n) -1/4) (-.f64 (.f64 K 24) (+.f64 K (.f64 K 25)))) M))
(-.f64 (.f64 K 24) (+.f64 K (.f64 K 25)))
(+.f64 K (*.f64 K 25))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 (*.f64 (neg.f64 K) (*.f64 (+.f64 m n) -1/2)) M)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 (*.f64 (neg.f64 K) (*.f64 (+.f64 m n) -1/2)) M)) (*.f64 (cos.f64 (-.f64 (*.f64 (neg.f64 K) (*.f64 (+.f64 m n) -1/2)) M)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (-.f64 (*.f64 (neg.f64 K) (*.f64 (+.f64 m n) -1/2)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 (neg.f64 K) (*.f64 (+.f64 m n) -1/2)) M))) (*.f64 (cos.f64 (-.f64 (*.f64 (neg.f64 K) (*.f64 (+.f64 m n) -1/2)) M)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (-.f64 (*.f64 (neg.f64 K) (*.f64 (+.f64 m n) -1/2)) M)) 2) (neg.f64 (cos.f64 (-.f64 (*.f64 (neg.f64 K) (*.f64 (+.f64 m n) -1/2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (-.f64 (*.f64 (neg.f64 K) (*.f64 (+.f64 m n) -1/2)) M)) 0) (cos.f64 (-.f64 (*.f64 (neg.f64 K) (*.f64 (+.f64 m n) -1/2)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (-.f64 (*.f64 (neg.f64 K) (*.f64 (+.f64 m n) -1/2)) M)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (-.f64 (*.f64 (neg.f64 K) (*.f64 (+.f64 m n) -1/2)) M)) (*.f64 (cos.f64 (-.f64 (*.f64 (neg.f64 K) (*.f64 (+.f64 m n) -1/2)) M)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (cos.f64 (-.f64 (*.f64 (neg.f64 K) (*.f64 (+.f64 m n) -1/2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (-.f64 (*.f64 (neg.f64 K) (*.f64 (+.f64 m n) -1/2)) M)) 2) (cos.f64 (-.f64 (*.f64 (neg.f64 K) (*.f64 (+.f64 m n) -1/2)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (cos.f64 (-.f64 (*.f64 (neg.f64 K) (*.f64 (+.f64 m n) -1/2)) M)) 2) 2) (*.f64 (cos.f64 (-.f64 (*.f64 (neg.f64 K) (*.f64 (+.f64 m n) -1/2)) M)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (-.f64 (*.f64 (neg.f64 K) (*.f64 (+.f64 m n) -1/2)) M)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (-.f64 (*.f64 (neg.f64 K) (*.f64 (+.f64 m n) -1/2)) M)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (cos.f64 (-.f64 (*.f64 (neg.f64 K) (*.f64 (+.f64 m n) -1/2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 (neg.f64 K) (*.f64 (+.f64 m n) -1/2)) M))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (-.f64 (*.f64 (neg.f64 K) (*.f64 (+.f64 m n) -1/2)) M)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (cos.f64 (-.f64 (*.f64 (neg.f64 K) (*.f64 (+.f64 m n) -1/2)) M)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (+.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 (neg.f64 K) (*.f64 (+.f64 m n) -1/2)) M))) (neg.f64 (cos.f64 (-.f64 (*.f64 (neg.f64 K) (*.f64 (+.f64 m n) -1/2)) M)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 (neg.f64 K) (*.f64 (+.f64 m n) -1/2)) M))) (neg.f64 (cos.f64 (-.f64 (*.f64 (neg.f64 K) (*.f64 (+.f64 m n) -1/2)) M)))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (-.f64 (*.f64 (neg.f64 K) (*.f64 (+.f64 m n) -1/2)) M)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (cos.f64 (-.f64 (*.f64 (neg.f64 K) (*.f64 (+.f64 m n) -1/2)) M))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 (neg.f64 K) (*.f64 (+.f64 m n) -1/2)) M))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 (neg.f64 K) (*.f64 (+.f64 m n) -1/2)) M))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 K 24) (*.f64 K -26))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 K -2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 K -2) (*.f64 (*.f64 K -2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 K -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 K K) (*.f64 (*.f64 K -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 K 48) (neg.f64 (*.f64 K 50)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 K 48) (-.f64 (*.f64 K 24) (*.f64 K 74)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 K -26) (*.f64 K 24))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 K) (neg.f64 K))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 K -25) (neg.f64 (*.f64 K -23)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 K -2) 0) (*.f64 K -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 K -2) 2) (+.f64 K K))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 K 96) (neg.f64 (*.f64 K 98)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 K 50)) (*.f64 K 48))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 K 98)) (*.f64 K 96))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 K 24) (*.f64 K 74)) (*.f64 K 48))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 K -23)) (*.f64 K -25))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 K -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 K -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 K -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 K K) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 K K))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 K -2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (*.f64 K -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 K 48) (*.f64 K 52)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 K)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (+.f64 K K) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 K K) 2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 K -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 -1 (/.f64 1/2 K)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 K K) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 1/2 (*.f64 K -2)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 K K))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 K 26) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 K 26) (-.f64 K K))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 K -26))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 K 50) (*.f64 K 24))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 K 52) (*.f64 K 26))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 K 51) (*.f64 K 25))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 K 27) K)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 K 52) 2) (*.f64 (*.f64 K 52) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 K 26)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 K 26) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 K 26))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 K K) 13)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 K -26) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 K -26))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 K) -26)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 26 K)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 K 52) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 K 52))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 (*.f64 K 50) 2) (*.f64 K 48)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (+.f64 K K) (*.f64 K 50)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 K 50) (+.f64 K K)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (neg.f64 (*.f64 K 52)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 K 52)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 K 26) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1/26 K))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 K -26) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 26 (/.f64 1 K))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 1/52 K))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 K -26))))))

simplify101.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

808×	`rational.json-simplify-4`
792×	`rational.json-simplify-42`
708×	`rational.json-simplify-29`
624×	`rational.json-simplify-2`
614×	`rational.json-simplify-6`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	283	5595
1	670	5555
2	2075	3927

Stop Event

1×	node limit

Counts

157 → 157

Calls

Call 1

Inputs
(cos.f64 (-.f64 (.f64 -1/4 (.f64 n (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))))) M))
(+.f64 (.f64 1/4 (.f64 (sin.f64 (-.f64 (.f64 -1/4 (.f64 n (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))))) M)) (.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))) m))) (cos.f64 (-.f64 (.f64 -1/4 (.f64 n (-.f64 (.f64 24 K) (+.f64 K (*.f64 25 K))))) M)))
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(cos.f64 (-.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))) (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))) (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))) (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))) (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))) (-.f64 n (*.f64 -1 m)))) M))
(cos.f64 (-.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))) (-.f64 n (*.f64 -1 m)))) M))
(cos.f64 (-.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))) (-.f64 n (*.f64 -1 m)))) M))
(cos.f64 (-.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))) (-.f64 n (*.f64 -1 m)))) M))
(cos.f64 (-.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))) m)) M))
(+.f64 (.f64 1/4 (.f64 n (.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))) (sin.f64 (-.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))) m)) M))))) (cos.f64 (-.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 24 K) (+.f64 K (*.f64 25 K))) m)) M)))
(+.f64 (.f64 1/4 (.f64 n (.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))) (sin.f64 (-.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))) m)) M))))) (+.f64 (.f64 -1/32 (.f64 (pow.f64 n 2) (.f64 (pow.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))) 2) (cos.f64 (-.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))) m)) M))))) (cos.f64 (-.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))) m)) M))))
(+.f64 (.f64 1/4 (.f64 n (.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))) (sin.f64 (-.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))) m)) M))))) (+.f64 (.f64 -1/32 (.f64 (pow.f64 n 2) (.f64 (pow.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))) 2) (cos.f64 (-.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))) m)) M))))) (+.f64 (.f64 -1/384 (.f64 (pow.f64 n 3) (.f64 (pow.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))) 3) (sin.f64 (-.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))) m)) M))))) (cos.f64 (-.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 24 K) (+.f64 K (*.f64 25 K))) m)) M)))))
(cos.f64 (-.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))) (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))) (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))) (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))) (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))) (-.f64 m (*.f64 -1 n)))) M))
(cos.f64 (-.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))) (-.f64 m (*.f64 -1 n)))) M))
(cos.f64 (-.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))) (-.f64 m (*.f64 -1 n)))) M))
(cos.f64 (-.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))) (-.f64 m (*.f64 -1 n)))) M))
(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 -1/4 (.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))) (+.f64 n m))))
(+.f64 (.f64 (sin.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))) (+.f64 n m)))) M) (cos.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 24 K) (+.f64 K (*.f64 25 K))) (+.f64 n m)))))
(+.f64 (.f64 (sin.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))) (+.f64 n m)))) M) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))) (+.f64 n m)))) (pow.f64 M 2))) (cos.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 24 K) (+.f64 K (*.f64 25 K))) (+.f64 n m))))))
(+.f64 (.f64 (sin.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))) (+.f64 n m)))) M) (+.f64 (.f64 -1/2 (.f64 (cos.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))) (+.f64 n m)))) (pow.f64 M 2))) (+.f64 (cos.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))) (+.f64 n m)))) (.f64 -1/6 (.f64 (sin.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 24 K) (+.f64 K (*.f64 25 K))) (+.f64 n m)))) (pow.f64 M 3))))))
(cos.f64 (-.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))) (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))) (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))) (+.f64 n m))) M))
(cos.f64 (-.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))) (+.f64 n m))) M))
(cos.f64 (+.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))) (+.f64 n m))) (*.f64 -1 M)))
(cos.f64 (+.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))) (+.f64 n m))) (*.f64 -1 M)))
(cos.f64 (+.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))) (+.f64 n m))) (*.f64 -1 M)))
(cos.f64 (+.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))) (+.f64 n m))) (*.f64 -1 M)))
(*.f64 -2 K)
(*.f64 -2 K)
(*.f64 -2 K)
(*.f64 -2 K)
(*.f64 -2 K)
(*.f64 -2 K)
(*.f64 -2 K)
(*.f64 -2 K)
(*.f64 -2 K)
(*.f64 -2 K)
(*.f64 -2 K)
(*.f64 -2 K)
(*.f64 26 K)
(*.f64 26 K)
(*.f64 26 K)
(*.f64 26 K)
(*.f64 26 K)
(*.f64 26 K)
(*.f64 26 K)
(*.f64 26 K)
(*.f64 26 K)
(*.f64 26 K)
(*.f64 26 K)
(*.f64 26 K)
(+.f64 (cos.f64 (-.f64 (.f64 (neg.f64 K) (.f64 (+.f64 m n) -1/2)) M)) 0)
(+.f64 (cos.f64 (-.f64 (.f64 (neg.f64 K) (.f64 (+.f64 m n) -1/2)) M)) (.f64 (cos.f64 (-.f64 (.f64 (neg.f64 K) (*.f64 (+.f64 m n) -1/2)) M)) 0))
(+.f64 0 (cos.f64 (-.f64 (.f64 (neg.f64 K) (.f64 (+.f64 m n) -1/2)) M)))
(+.f64 (neg.f64 (cos.f64 (-.f64 (.f64 (neg.f64 K) (.f64 (+.f64 m n) -1/2)) M))) (.f64 (cos.f64 (-.f64 (.f64 (neg.f64 K) (*.f64 (+.f64 m n) -1/2)) M)) 2))
(+.f64 (.f64 (cos.f64 (-.f64 (.f64 (neg.f64 K) (.f64 (+.f64 m n) -1/2)) M)) 2) (neg.f64 (cos.f64 (-.f64 (.f64 (neg.f64 K) (*.f64 (+.f64 m n) -1/2)) M))))
(+.f64 (.f64 (cos.f64 (-.f64 (.f64 (neg.f64 K) (.f64 (+.f64 m n) -1/2)) M)) 0) (cos.f64 (-.f64 (.f64 (neg.f64 K) (*.f64 (+.f64 m n) -1/2)) M)))
(-.f64 (cos.f64 (-.f64 (.f64 (neg.f64 K) (.f64 (+.f64 m n) -1/2)) M)) 0)
(-.f64 (cos.f64 (-.f64 (.f64 (neg.f64 K) (.f64 (+.f64 m n) -1/2)) M)) (.f64 (cos.f64 (-.f64 (.f64 (neg.f64 K) (*.f64 (+.f64 m n) -1/2)) M)) 0))
(-.f64 0 (neg.f64 (cos.f64 (-.f64 (.f64 (neg.f64 K) (.f64 (+.f64 m n) -1/2)) M))))
(-.f64 (.f64 (cos.f64 (-.f64 (.f64 (neg.f64 K) (.f64 (+.f64 m n) -1/2)) M)) 2) (cos.f64 (-.f64 (.f64 (neg.f64 K) (*.f64 (+.f64 m n) -1/2)) M)))
(-.f64 (.f64 (.f64 (cos.f64 (-.f64 (.f64 (neg.f64 K) (.f64 (+.f64 m n) -1/2)) M)) 2) 2) (.f64 (cos.f64 (-.f64 (.f64 (neg.f64 K) (*.f64 (+.f64 m n) -1/2)) M)) 3))
(.f64 (cos.f64 (-.f64 (.f64 (neg.f64 K) (*.f64 (+.f64 m n) -1/2)) M)) 1)
(.f64 1 (cos.f64 (-.f64 (.f64 (neg.f64 K) (*.f64 (+.f64 m n) -1/2)) M)))
(.f64 -1 (neg.f64 (cos.f64 (-.f64 (.f64 (neg.f64 K) (*.f64 (+.f64 m n) -1/2)) M))))
(.f64 (neg.f64 (cos.f64 (-.f64 (.f64 (neg.f64 K) (*.f64 (+.f64 m n) -1/2)) M))) -1)
(.f64 (.f64 (cos.f64 (-.f64 (.f64 (neg.f64 K) (.f64 (+.f64 m n) -1/2)) M)) 2) 1/2)
(.f64 1/2 (.f64 (cos.f64 (-.f64 (.f64 (neg.f64 K) (.f64 (+.f64 m n) -1/2)) M)) 2))
(.f64 -1/2 (+.f64 (neg.f64 (cos.f64 (-.f64 (.f64 (neg.f64 K) (.f64 (+.f64 m n) -1/2)) M))) (neg.f64 (cos.f64 (-.f64 (.f64 (neg.f64 K) (*.f64 (+.f64 m n) -1/2)) M)))))
(.f64 (+.f64 (neg.f64 (cos.f64 (-.f64 (.f64 (neg.f64 K) (.f64 (+.f64 m n) -1/2)) M))) (neg.f64 (cos.f64 (-.f64 (.f64 (neg.f64 K) (*.f64 (+.f64 m n) -1/2)) M)))) -1/2)
(/.f64 (cos.f64 (-.f64 (.f64 (neg.f64 K) (.f64 (+.f64 m n) -1/2)) M)) 1)
(/.f64 1 (/.f64 1 (cos.f64 (-.f64 (.f64 (neg.f64 K) (.f64 (+.f64 m n) -1/2)) M))))
(/.f64 (neg.f64 (cos.f64 (-.f64 (.f64 (neg.f64 K) (.f64 (+.f64 m n) -1/2)) M))) -1)
(neg.f64 (neg.f64 (cos.f64 (-.f64 (.f64 (neg.f64 K) (.f64 (+.f64 m n) -1/2)) M))))
(+.f64 (.f64 K 24) (.f64 K -26))
(+.f64 (*.f64 K -2) 0)
(+.f64 (.f64 K -2) (.f64 (*.f64 K -2) 0))
(+.f64 0 (*.f64 K -2))
(+.f64 (+.f64 K K) (.f64 (.f64 K -2) 2))
(+.f64 (.f64 K 48) (neg.f64 (.f64 K 50)))
(+.f64 (.f64 K 48) (-.f64 (.f64 K 24) (*.f64 K 74)))
(+.f64 (.f64 K -26) (.f64 K 24))
(+.f64 (neg.f64 K) (neg.f64 K))
(+.f64 (.f64 K -25) (neg.f64 (.f64 K -23)))
(+.f64 (.f64 (.f64 K -2) 0) (*.f64 K -2))
(+.f64 (.f64 (.f64 K -2) 2) (+.f64 K K))
(+.f64 (.f64 K 96) (neg.f64 (.f64 K 98)))
(+.f64 (neg.f64 (.f64 K 50)) (.f64 K 48))
(+.f64 (neg.f64 (.f64 K 98)) (.f64 K 96))
(+.f64 (-.f64 (.f64 K 24) (.f64 K 74)) (*.f64 K 48))
(+.f64 (neg.f64 (.f64 K -23)) (.f64 K -25))
(*.f64 K -2)
(.f64 (.f64 K -2) 1)
(.f64 1 (.f64 K -2))
(*.f64 (+.f64 K K) -1)
(*.f64 -1 (+.f64 K K))
(.f64 (.f64 (*.f64 K -2) 2) 1/2)
(.f64 1/2 (.f64 (*.f64 K -2) 2))
(.f64 1/2 (-.f64 (.f64 K 48) (*.f64 K 52)))
(*.f64 -2 K)
(.f64 -1/2 (.f64 (+.f64 K K) 2))
(.f64 (.f64 (+.f64 K K) 2) -1/2)
(/.f64 (*.f64 K -2) 1)
(/.f64 1 (*.f64 -1 (/.f64 1/2 K)))
(/.f64 (+.f64 K K) -1)
(/.f64 1/2 (/.f64 1/2 (*.f64 K -2)))
(neg.f64 (+.f64 K K))
(-.f64 (*.f64 K 26) 0)
(-.f64 (*.f64 K 26) (-.f64 K K))
(-.f64 0 (*.f64 K -26))
(-.f64 (.f64 K 50) (.f64 K 24))
(-.f64 (.f64 K 52) (.f64 K 26))
(-.f64 (.f64 K 51) (.f64 K 25))
(-.f64 (*.f64 K 27) K)
(-.f64 (.f64 (.f64 K 52) 2) (.f64 (.f64 K 52) 3/2))
(*.f64 K 26)
(.f64 (.f64 K 26) 1)
(.f64 1 (.f64 K 26))
(*.f64 (+.f64 K K) 13)
(.f64 (.f64 K -26) -1)
(.f64 -1 (.f64 K -26))
(*.f64 (neg.f64 K) -26)
(*.f64 26 K)
(.f64 (.f64 K 52) 1/2)
(.f64 1/2 (.f64 K 52))
(.f64 1/2 (-.f64 (.f64 (.f64 K 50) 2) (.f64 K 48)))
(.f64 1/2 (+.f64 (+.f64 K K) (.f64 K 50)))
(.f64 1/2 (+.f64 (.f64 K 50) (+.f64 K K)))
(.f64 -1/2 (neg.f64 (.f64 K 52)))
(.f64 (neg.f64 (.f64 K 52)) -1/2)
(/.f64 (*.f64 K 26) 1)
(/.f64 1 (/.f64 1/26 K))
(/.f64 (*.f64 K -26) -1)
(/.f64 26 (/.f64 1 K))
(/.f64 1/2 (/.f64 1/52 K))
(neg.f64 (*.f64 K -26))

Outputs
(cos.f64 (-.f64 (.f64 -1/4 (.f64 n (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))))) M))
(cos.f64 (-.f64 (.f64 -1/4 (.f64 n (-.f64 (.f64 24 K) (+.f64 K (.f64 K 25))))) M))
(cos.f64 (-.f64 (.f64 n (.f64 1/4 (+.f64 K (-.f64 (.f64 K 25) (.f64 24 K))))) M))
(cos.f64 (-.f64 (.f64 n (.f64 1/2 K)) M))
(+.f64 (.f64 1/4 (.f64 (sin.f64 (-.f64 (.f64 -1/4 (.f64 n (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))))) M)) (.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))) m))) (cos.f64 (-.f64 (.f64 -1/4 (.f64 n (-.f64 (.f64 24 K) (+.f64 K (*.f64 25 K))))) M)))
(+.f64 (cos.f64 (-.f64 (.f64 -1/4 (.f64 n (-.f64 (.f64 24 K) (+.f64 K (.f64 K 25))))) M)) (.f64 (sin.f64 (-.f64 (.f64 -1/4 (.f64 n (-.f64 (.f64 24 K) (+.f64 K (.f64 K 25))))) M)) (.f64 1/4 (.f64 (-.f64 (.f64 24 K) (+.f64 K (*.f64 K 25))) m))))
(+.f64 (cos.f64 (-.f64 (.f64 n (.f64 1/4 (+.f64 K (-.f64 (.f64 K 25) (.f64 24 K))))) M)) (.f64 (sin.f64 (-.f64 (.f64 n (.f64 1/4 (+.f64 K (-.f64 (.f64 K 25) (.f64 24 K))))) M)) (.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 K 25))) (*.f64 1/4 m))))
(+.f64 (cos.f64 (-.f64 (.f64 n (.f64 1/2 K)) M)) (.f64 (sin.f64 (-.f64 (.f64 n (.f64 1/2 K)) M)) (.f64 1/4 (*.f64 (neg.f64 m) (+.f64 K K)))))
(+.f64 (.f64 1/4 (.f64 (sin.f64 (-.f64 (.f64 -1/4 (.f64 n (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))))) M)) (.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))) m))) (+.f64 (cos.f64 (-.f64 (.f64 -1/4 (.f64 n (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))))) M)) (.f64 -1/32 (.f64 (pow.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))) 2) (.f64 (cos.f64 (-.f64 (.f64 -1/4 (.f64 n (-.f64 (.f64 24 K) (+.f64 K (.f64 25 K))))) M)) (pow.f64 m 2))))))
(+.f64 (cos.f64 (-.f64 (.f64 -1/4 (.f64 n (-.f64 (.f64 24 K) (+.f64 K (.f64 K 25))))) M)) (+.f64 (.f64 (sin.f64 (-.f64 (.f64 -1/4 (.f64 n (-.f64 (.f64 24 K) (+.f64 K (.f64 K 25))))) M)) (.f64 1/4 (.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 K 25))) m))) (.f64 -1/32 (.f64 (cos.f64 (-.f64 (.f64 -1/4 (.f64 n (-.f64 (.f64 24 K) (+.f64 K (.f64 K 25))))) M)) (.f64 (pow.f64 (-.f64 (.f64 24 K) (+.f64 K (.f64 K 25))) 2) (pow.f64 m 2))))))
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(/.f64 (neg.f64 (cos.f64 (-.f64 (.f64 (neg.f64 K) (.f64 (+.f64 m n) -1/2)) M))) -1)
(cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 (neg.f64 K) -1/2)) M))
(cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 -1/2 (neg.f64 K))) M))
(cos.f64 (-.f64 (.f64 K (neg.f64 (.f64 (+.f64 n m) -1/2))) M))
(neg.f64 (neg.f64 (cos.f64 (-.f64 (.f64 (neg.f64 K) (.f64 (+.f64 m n) -1/2)) M))))
(cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 (neg.f64 K) -1/2)) M))
(cos.f64 (-.f64 (.f64 (+.f64 n m) (.f64 -1/2 (neg.f64 K))) M))
(cos.f64 (-.f64 (.f64 K (neg.f64 (.f64 (+.f64 n m) -1/2))) M))
(+.f64 (.f64 K 24) (.f64 K -26))
(*.f64 K -2)
(+.f64 (*.f64 K -2) 0)
(*.f64 K -2)
(+.f64 (.f64 K -2) (.f64 (*.f64 K -2) 0))
(*.f64 K -2)
(+.f64 0 (*.f64 K -2))
(*.f64 K -2)
(+.f64 (+.f64 K K) (.f64 (.f64 K -2) 2))
(*.f64 K -2)
(+.f64 (.f64 K 48) (neg.f64 (.f64 K 50)))
(*.f64 K -2)
(+.f64 (.f64 K 48) (-.f64 (.f64 K 24) (*.f64 K 74)))
(*.f64 K -2)
(+.f64 (.f64 K -26) (.f64 K 24))
(*.f64 K -2)
(+.f64 (neg.f64 K) (neg.f64 K))
(*.f64 K -2)
(+.f64 (.f64 K -25) (neg.f64 (.f64 K -23)))
(*.f64 K -2)
(+.f64 (.f64 (.f64 K -2) 0) (*.f64 K -2))
(*.f64 K -2)
(+.f64 (.f64 (.f64 K -2) 2) (+.f64 K K))
(*.f64 K -2)
(+.f64 (.f64 K 96) (neg.f64 (.f64 K 98)))
(*.f64 K -2)
(+.f64 (neg.f64 (.f64 K 50)) (.f64 K 48))
(*.f64 K -2)
(+.f64 (neg.f64 (.f64 K 98)) (.f64 K 96))
(*.f64 K -2)
(+.f64 (-.f64 (.f64 K 24) (.f64 K 74)) (*.f64 K 48))
(*.f64 K -2)
(+.f64 (neg.f64 (.f64 K -23)) (.f64 K -25))
(*.f64 K -2)
(*.f64 K -2)
(.f64 (.f64 K -2) 1)
(*.f64 K -2)
(.f64 1 (.f64 K -2))
(*.f64 K -2)
(*.f64 (+.f64 K K) -1)
(*.f64 K -2)
(*.f64 -1 (+.f64 K K))
(*.f64 K -2)
(.f64 (.f64 (*.f64 K -2) 2) 1/2)
(*.f64 K -2)
(.f64 1/2 (.f64 (*.f64 K -2) 2))
(*.f64 K -2)
(.f64 1/2 (-.f64 (.f64 K 48) (*.f64 K 52)))
(*.f64 K -2)
(*.f64 -2 K)
(*.f64 K -2)
(.f64 -1/2 (.f64 (+.f64 K K) 2))
(*.f64 K -2)
(.f64 (.f64 (+.f64 K K) 2) -1/2)
(*.f64 K -2)
(/.f64 (*.f64 K -2) 1)
(*.f64 K -2)
(/.f64 1 (*.f64 -1 (/.f64 1/2 K)))
(*.f64 K -2)
(/.f64 (+.f64 K K) -1)
(*.f64 K -2)
(/.f64 1/2 (/.f64 1/2 (*.f64 K -2)))
(*.f64 K -2)
(neg.f64 (+.f64 K K))
(*.f64 K -2)
(-.f64 (*.f64 K 26) 0)
(*.f64 K 26)
(-.f64 (*.f64 K 26) (-.f64 K K))
(*.f64 K 26)
(-.f64 0 (*.f64 K -26))
(*.f64 K 26)
(-.f64 (.f64 K 50) (.f64 K 24))
(*.f64 K 26)
(-.f64 (.f64 K 52) (.f64 K 26))
(*.f64 K 26)
(-.f64 (.f64 K 51) (.f64 K 25))
(*.f64 K 26)
(-.f64 (*.f64 K 27) K)
(-.f64 (.f64 (.f64 K 52) 2) (.f64 (.f64 K 52) 3/2))
(*.f64 K 26)
(*.f64 K 26)
(.f64 (.f64 K 26) 1)
(*.f64 K 26)
(.f64 1 (.f64 K 26))
(*.f64 K 26)
(*.f64 (+.f64 K K) 13)
(*.f64 K 26)
(.f64 (.f64 K -26) -1)
(*.f64 K 26)
(.f64 -1 (.f64 K -26))
(*.f64 K 26)
(*.f64 (neg.f64 K) -26)
(*.f64 K 26)
(*.f64 26 K)
(*.f64 K 26)
(.f64 (.f64 K 52) 1/2)
(*.f64 K 26)
(.f64 1/2 (.f64 K 52))
(*.f64 K 26)
(.f64 1/2 (-.f64 (.f64 (.f64 K 50) 2) (.f64 K 48)))
(*.f64 K 26)
(.f64 1/2 (+.f64 (+.f64 K K) (.f64 K 50)))
(+.f64 K (*.f64 K 25))
(.f64 1/2 (+.f64 (.f64 K 50) (+.f64 K K)))
(.f64 1/2 (+.f64 (+.f64 K K) (.f64 K 50)))
(+.f64 K (*.f64 K 25))
(.f64 -1/2 (neg.f64 (.f64 K 52)))
(*.f64 K 26)
(.f64 (neg.f64 (.f64 K 52)) -1/2)
(*.f64 K 26)
(/.f64 (*.f64 K 26) 1)
(*.f64 K 26)
(/.f64 1 (/.f64 1/26 K))
(*.f64 K 26)
(/.f64 (*.f64 K -26) -1)
(*.f64 K 26)
(/.f64 26 (/.f64 1 K))
(*.f64 K 26)
(/.f64 1/2 (/.f64 1/52 K))
(*.f64 K 26)
(neg.f64 (*.f64 K -26))
(*.f64 K 26)

localize6.0ms (0%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

localize18.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 -1/4 (pow.f64 m 2))

Compiler

Compiled 38 to 26 computations (31.6% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite78.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1806×	`rational.json-1`
694×	`rational.json-simplify-13`
666×	`rational.json-simplify-42`
598×	`rational.json-simplify-29`
562×	`rational.json-simplify-21`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	38	13
2	92	13
3	335	13
4	1946	13
5	7802	13

Stop Event

1×	node limit

Counts

1 → 92

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/4 (pow.f64 m 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/4 (pow.f64 m 2)) (*.f64 (pow.f64 m 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/4 (pow.f64 m 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 m 2)) (*.f64 (pow.f64 m 2) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 m 2) 1/4) (*.f64 (pow.f64 m 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 m 2) -1/2) (*.f64 (pow.f64 m 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 m 2) 0) (*.f64 -1/4 (pow.f64 m 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 m 2) 1/2) (*.f64 (pow.f64 m 2) -3/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 m 2) -1/8) (*.f64 (pow.f64 m 2) -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 (pow.f64 m 2) -3/4)) (*.f64 1/2 (*.f64 (pow.f64 m 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 m 2) 3/4) (neg.f64 (pow.f64 m 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 -1/4 (pow.f64 m 2)) 4) (/.f64 (*.f64 (pow.f64 m 2) -3/4) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/4 (pow.f64 m 2)) 1/4) (*.f64 1/4 (*.f64 (pow.f64 m 2) -3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/4 (pow.f64 m 2)) -1/2) (*.f64 -1/2 (*.f64 (pow.f64 m 2) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 m 2) -3/4) 1/4) (*.f64 1/4 (*.f64 -1/4 (pow.f64 m 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 m 2) 3) -1/8) (*.f64 -1/8 (neg.f64 (pow.f64 m 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (pow.f64 m 2) -3/4) 4) (/.f64 (*.f64 -1/4 (pow.f64 m 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 m 2) (+.f64 (*.f64 (pow.f64 m 2) 3/4) (*.f64 (pow.f64 m 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 m 2) (+.f64 (*.f64 2 (pow.f64 m 2)) (*.f64 (pow.f64 m 2) -3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 m 2) (+.f64 (pow.f64 m 2) (*.f64 (pow.f64 m 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -1/4 (pow.f64 m 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -1/4 (pow.f64 m 2)) (*.f64 (pow.f64 m 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (pow.f64 m 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (pow.f64 m 2)) (*.f64 (pow.f64 m 2) -3/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (pow.f64 m 2)) (+.f64 (pow.f64 m 2) (*.f64 (pow.f64 m 2) -7/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 m 2) 1/4) (*.f64 (pow.f64 m 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (pow.f64 m 2)) (+.f64 (*.f64 (pow.f64 m 2) 3) (*.f64 (pow.f64 m 2) -3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (pow.f64 m 2)) (+.f64 (*.f64 2 (pow.f64 m 2)) (*.f64 (pow.f64 m 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 m 2) -1/2) (*.f64 -1/4 (pow.f64 m 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 m 2) -1/2) (+.f64 (*.f64 (pow.f64 m 2) -3/4) (*.f64 (pow.f64 m 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 m 2) 0) (*.f64 (pow.f64 m 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 m 2) -2) (*.f64 (pow.f64 m 2) -7/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 m 2) -3/4) (*.f64 (pow.f64 m 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 m 2) 1/2) (*.f64 (pow.f64 m 2) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 m 2) 1/2) (/.f64 (*.f64 (pow.f64 m 2) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 m 2) -5/4) (neg.f64 (pow.f64 m 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 m 2) -3/2) (*.f64 (pow.f64 m 2) -5/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 m 2) -1/8) (*.f64 1/2 (*.f64 (pow.f64 m 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 m 2) -1/8) (*.f64 -1/2 (*.f64 -1/4 (pow.f64 m 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 m 2) -1/8) (*.f64 -1/8 (neg.f64 (pow.f64 m 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (*.f64 (pow.f64 m 2) -3/4)) (*.f64 (pow.f64 m 2) -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (*.f64 (pow.f64 m 2) 4)) (+.f64 (*.f64 (pow.f64 m 2) -2) (*.f64 (pow.f64 m 2) -7/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 m 2) 3/4) (pow.f64 m 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (neg.f64 (pow.f64 m 2)) -1/8) (*.f64 -1/8 (*.f64 (pow.f64 m 2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 m 2) 3) 4) (/.f64 (*.f64 (pow.f64 m 2) 4) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 (*.f64 2 (pow.f64 m 2)) (*.f64 (pow.f64 m 2) -2)) -4) (*.f64 (pow.f64 m 2) -3/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/2 (*.f64 (pow.f64 m 2) 3)) -4) (*.f64 (pow.f64 m 2) -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 (pow.f64 m 2) 4) 2) -4) (/.f64 (+.f64 (*.f64 (pow.f64 m 2) 4) (*.f64 (pow.f64 m 2) 3)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 m 2) -5/4) 4) (/.f64 (*.f64 -1/4 (pow.f64 m 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (pow.f64 m 2) 1/4) 1/2) (*.f64 1/2 (*.f64 (pow.f64 m 2) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 -1/4 (pow.f64 m 2)) -1/2) (*.f64 -1/2 (*.f64 (pow.f64 m 2) -3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (pow.f64 m 2) 3) -1/8) (*.f64 (pow.f64 m 2) -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 (pow.f64 m 2) -1/2) (*.f64 (pow.f64 m 2) -1/8)) (*.f64 (pow.f64 m 2) -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (pow.f64 m 2) -5/4) 1/2) (*.f64 1/2 (*.f64 (pow.f64 m 2) -3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 (*.f64 2 (pow.f64 m 2)) (*.f64 (pow.f64 m 2) -2)) -1/4) (*.f64 (pow.f64 m 2) -3/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 1/2 (*.f64 (pow.f64 m 2) 3)) -1/4) (*.f64 (pow.f64 m 2) -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (*.f64 (pow.f64 m 2) 4) 2) -1/4) (*.f64 -1/4 (+.f64 (*.f64 (pow.f64 m 2) 4) (*.f64 (pow.f64 m 2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (pow.f64 m 2) -5/4) 1/4) (*.f64 1/4 (*.f64 -1/4 (pow.f64 m 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (pow.f64 m 2) 5) -1/8) (*.f64 -1/8 (*.f64 (pow.f64 m 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 m 2) -3/4)) (*.f64 1/2 (*.f64 (pow.f64 m 2) -3/4))) (*.f64 (pow.f64 m 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 -1/4 (pow.f64 m 2)) (*.f64 2 (pow.f64 m 2))) (*.f64 (pow.f64 m 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/4 (/.f64 1 (pow.f64 m 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (/.f64 -4 (pow.f64 m 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (/.f64 1 (pow.f64 m 2)) -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 m 2) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/4 (pow.f64 m 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 -4 (pow.f64 m 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 4 (pow.f64 m 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 1 (pow.f64 m 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 -1 (pow.f64 m 2)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (-.f64 0 (/.f64 -4 (pow.f64 m 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 m 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 m 2) 1/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/4 (/.f64 -1 (pow.f64 m 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/4 (-.f64 (/.f64 1 (pow.f64 m 2)) (/.f64 2 (pow.f64 m 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 m 2)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 m 2) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 -2 (pow.f64 m 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/8 (/.f64 1/2 (pow.f64 m 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (/.f64 2 (pow.f64 m 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 m 2) -2) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 m 2) 1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/8 (/.f64 -1/2 (pow.f64 m 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/8 (-.f64 0 (/.f64 1/2 (pow.f64 m 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 m 2) -1/8) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/16 (/.f64 1/4 (pow.f64 m 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 m 2) 3) (-.f64 (*.f64 2 (pow.f64 m 2)) (*.f64 (pow.f64 m 2) -2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 m 2) 1/2) (*.f64 1/2 (*.f64 (pow.f64 m 2) 3))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (*.f64 (pow.f64 m 2) 4) (*.f64 (pow.f64 m 2) 3)) (*.f64 (*.f64 (pow.f64 m 2) 4) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 m 2) -7/4) (*.f64 (pow.f64 m 2) -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 m 2) -1/8) (*.f64 1/2 (*.f64 (pow.f64 m 2) -3/4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 m 2) 1/4))))))

simplify54.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1410×	`rational.json-simplify-29`
884×	`rational.json-simplify-21`
748×	`rational.json-simplify-23`
706×	`rational.json-simplify-43`
672×	`rational.json-simplify-44`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	209	1196
1	675	1196
2	2321	1196

Stop Event

1×	node limit

Counts

92 → 93

Calls

Call 1

Inputs
(+.f64 (*.f64 -1/4 (pow.f64 m 2)) 0)
(+.f64 (.f64 -1/4 (pow.f64 m 2)) (.f64 (pow.f64 m 2) 0))
(+.f64 0 (*.f64 -1/4 (pow.f64 m 2)))
(+.f64 (neg.f64 (pow.f64 m 2)) (*.f64 (pow.f64 m 2) 3/4))
(+.f64 (.f64 (pow.f64 m 2) 1/4) (.f64 (pow.f64 m 2) -1/2))
(+.f64 (.f64 (pow.f64 m 2) -1/2) (.f64 (pow.f64 m 2) 1/4))
(+.f64 (.f64 (pow.f64 m 2) 0) (.f64 -1/4 (pow.f64 m 2)))
(+.f64 (.f64 (pow.f64 m 2) 1/2) (.f64 (pow.f64 m 2) -3/4))
(+.f64 (.f64 (pow.f64 m 2) -1/8) (.f64 (pow.f64 m 2) -1/8))
(+.f64 (.f64 1/2 (.f64 (pow.f64 m 2) -3/4)) (.f64 1/2 (.f64 (pow.f64 m 2) 1/4)))
(+.f64 (*.f64 (pow.f64 m 2) 3/4) (neg.f64 (pow.f64 m 2)))
(+.f64 (/.f64 (.f64 -1/4 (pow.f64 m 2)) 4) (/.f64 (.f64 (pow.f64 m 2) -3/4) 4))
(+.f64 (.f64 (.f64 -1/4 (pow.f64 m 2)) 1/4) (.f64 1/4 (.f64 (pow.f64 m 2) -3/4)))
(+.f64 (.f64 (.f64 -1/4 (pow.f64 m 2)) -1/2) (.f64 -1/2 (.f64 (pow.f64 m 2) 3/4)))
(+.f64 (.f64 (.f64 (pow.f64 m 2) -3/4) 1/4) (.f64 1/4 (.f64 -1/4 (pow.f64 m 2))))
(+.f64 (.f64 (.f64 (pow.f64 m 2) 3) -1/8) (*.f64 -1/8 (neg.f64 (pow.f64 m 2))))
(+.f64 (/.f64 (.f64 (pow.f64 m 2) -3/4) 4) (/.f64 (.f64 -1/4 (pow.f64 m 2)) 4))
(-.f64 (pow.f64 m 2) (+.f64 (.f64 (pow.f64 m 2) 3/4) (.f64 (pow.f64 m 2) 1/2)))
(-.f64 (pow.f64 m 2) (+.f64 (.f64 2 (pow.f64 m 2)) (.f64 (pow.f64 m 2) -3/4)))
(-.f64 (pow.f64 m 2) (+.f64 (pow.f64 m 2) (*.f64 (pow.f64 m 2) 1/4)))
(-.f64 (*.f64 -1/4 (pow.f64 m 2)) 0)
(-.f64 (.f64 -1/4 (pow.f64 m 2)) (.f64 (pow.f64 m 2) 0))
(-.f64 0 (*.f64 (pow.f64 m 2) 1/4))
(-.f64 (neg.f64 (pow.f64 m 2)) (*.f64 (pow.f64 m 2) -3/4))
(-.f64 (neg.f64 (pow.f64 m 2)) (+.f64 (pow.f64 m 2) (*.f64 (pow.f64 m 2) -7/4)))
(-.f64 (.f64 (pow.f64 m 2) 1/4) (.f64 (pow.f64 m 2) 1/2))
(-.f64 (.f64 2 (pow.f64 m 2)) (+.f64 (.f64 (pow.f64 m 2) 3) (*.f64 (pow.f64 m 2) -3/4)))
(-.f64 (.f64 2 (pow.f64 m 2)) (+.f64 (.f64 2 (pow.f64 m 2)) (*.f64 (pow.f64 m 2) 1/4)))
(-.f64 (.f64 (pow.f64 m 2) -1/2) (.f64 -1/4 (pow.f64 m 2)))
(-.f64 (.f64 (pow.f64 m 2) -1/2) (+.f64 (.f64 (pow.f64 m 2) -3/4) (*.f64 (pow.f64 m 2) 1/2)))
(-.f64 (.f64 (pow.f64 m 2) 0) (.f64 (pow.f64 m 2) 1/4))
(-.f64 (.f64 (pow.f64 m 2) -2) (.f64 (pow.f64 m 2) -7/4))
(-.f64 (.f64 (pow.f64 m 2) -3/4) (.f64 (pow.f64 m 2) -1/2))
(-.f64 (.f64 (pow.f64 m 2) 1/2) (.f64 (pow.f64 m 2) 3/4))
(-.f64 (.f64 (pow.f64 m 2) 1/2) (/.f64 (.f64 (pow.f64 m 2) 3) 4))
(-.f64 (*.f64 (pow.f64 m 2) -5/4) (neg.f64 (pow.f64 m 2)))
(-.f64 (.f64 (pow.f64 m 2) -3/2) (.f64 (pow.f64 m 2) -5/4))
(-.f64 (.f64 (pow.f64 m 2) -1/8) (.f64 1/2 (*.f64 (pow.f64 m 2) 1/4)))
(-.f64 (.f64 (pow.f64 m 2) -1/8) (.f64 -1/2 (*.f64 -1/4 (pow.f64 m 2))))
(-.f64 (.f64 (pow.f64 m 2) -1/8) (.f64 -1/8 (neg.f64 (pow.f64 m 2))))
(-.f64 (.f64 1/2 (.f64 (pow.f64 m 2) -3/4)) (*.f64 (pow.f64 m 2) -1/8))
(-.f64 (neg.f64 (.f64 (pow.f64 m 2) 4)) (+.f64 (.f64 (pow.f64 m 2) -2) (*.f64 (pow.f64 m 2) -7/4)))
(-.f64 (*.f64 (pow.f64 m 2) 3/4) (pow.f64 m 2))
(-.f64 (.f64 (neg.f64 (pow.f64 m 2)) -1/8) (.f64 -1/8 (*.f64 (pow.f64 m 2) -3)))
(-.f64 (/.f64 (.f64 (pow.f64 m 2) 3) 4) (/.f64 (.f64 (pow.f64 m 2) 4) 4))
(-.f64 (/.f64 (-.f64 (.f64 2 (pow.f64 m 2)) (.f64 (pow.f64 m 2) -2)) -4) (*.f64 (pow.f64 m 2) -3/4))
(-.f64 (/.f64 (.f64 1/2 (.f64 (pow.f64 m 2) 3)) -4) (*.f64 (pow.f64 m 2) -1/8))
(-.f64 (/.f64 (.f64 (.f64 (pow.f64 m 2) 4) 2) -4) (/.f64 (+.f64 (.f64 (pow.f64 m 2) 4) (.f64 (pow.f64 m 2) 3)) -4))
(-.f64 (/.f64 (.f64 (pow.f64 m 2) -5/4) 4) (/.f64 (.f64 -1/4 (pow.f64 m 2)) 4))
(-.f64 (.f64 (.f64 (pow.f64 m 2) 1/4) 1/2) (.f64 1/2 (.f64 (pow.f64 m 2) 3/4)))
(-.f64 (.f64 (.f64 -1/4 (pow.f64 m 2)) -1/2) (.f64 -1/2 (.f64 (pow.f64 m 2) -3/4)))
(-.f64 (.f64 (.f64 (pow.f64 m 2) 3) -1/8) (*.f64 (pow.f64 m 2) -1/8))
(-.f64 (-.f64 (.f64 (pow.f64 m 2) -1/2) (.f64 (pow.f64 m 2) -1/8)) (*.f64 (pow.f64 m 2) -1/8))
(-.f64 (.f64 (.f64 (pow.f64 m 2) -5/4) 1/2) (.f64 1/2 (.f64 (pow.f64 m 2) -3/4)))
(-.f64 (.f64 (-.f64 (.f64 2 (pow.f64 m 2)) (.f64 (pow.f64 m 2) -2)) -1/4) (.f64 (pow.f64 m 2) -3/4))
(-.f64 (.f64 (.f64 1/2 (.f64 (pow.f64 m 2) 3)) -1/4) (.f64 (pow.f64 m 2) -1/8))
(-.f64 (.f64 (.f64 (.f64 (pow.f64 m 2) 4) 2) -1/4) (.f64 -1/4 (+.f64 (.f64 (pow.f64 m 2) 4) (.f64 (pow.f64 m 2) 3))))
(-.f64 (.f64 (.f64 (pow.f64 m 2) -5/4) 1/4) (.f64 1/4 (.f64 -1/4 (pow.f64 m 2))))
(-.f64 (.f64 (.f64 (pow.f64 m 2) 5) -1/8) (.f64 -1/8 (.f64 (pow.f64 m 2) 3)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 m 2) -3/4)) (.f64 1/2 (.f64 (pow.f64 m 2) -3/4))) (*.f64 (pow.f64 m 2) -1/2))
(-.f64 (-.f64 (.f64 -1/4 (pow.f64 m 2)) (.f64 2 (pow.f64 m 2))) (*.f64 (pow.f64 m 2) -2))
(/.f64 -1/4 (/.f64 1 (pow.f64 m 2)))
(/.f64 2 (/.f64 (/.f64 -4 (pow.f64 m 2)) 1/2))
(/.f64 2 (/.f64 (/.f64 1 (pow.f64 m 2)) -1/8))
(/.f64 (pow.f64 m 2) -4)
(/.f64 (*.f64 -1/4 (pow.f64 m 2)) 1)
(/.f64 1 (/.f64 -4 (pow.f64 m 2)))
(/.f64 -1 (/.f64 4 (pow.f64 m 2)))
(/.f64 -1 (*.f64 (/.f64 1 (pow.f64 m 2)) 4))
(/.f64 -1 (*.f64 (/.f64 -1 (pow.f64 m 2)) -4))
(/.f64 -1 (-.f64 0 (/.f64 -4 (pow.f64 m 2))))
(/.f64 (neg.f64 (pow.f64 m 2)) 4)
(/.f64 (*.f64 (pow.f64 m 2) 1/4) -1)
(/.f64 1/4 (/.f64 -1 (pow.f64 m 2)))
(/.f64 1/4 (-.f64 (/.f64 1 (pow.f64 m 2)) (/.f64 2 (pow.f64 m 2))))
(/.f64 (*.f64 2 (pow.f64 m 2)) -8)
(/.f64 (*.f64 (pow.f64 m 2) -1/2) 2)
(/.f64 1/2 (/.f64 -2 (pow.f64 m 2)))
(/.f64 -1/8 (/.f64 1/2 (pow.f64 m 2)))
(/.f64 -1/2 (/.f64 2 (pow.f64 m 2)))
(/.f64 (*.f64 (pow.f64 m 2) -2) 8)
(/.f64 (*.f64 (pow.f64 m 2) 1/2) -2)
(/.f64 1/8 (/.f64 -1/2 (pow.f64 m 2)))
(/.f64 1/8 (-.f64 0 (/.f64 1/2 (pow.f64 m 2))))
(/.f64 (*.f64 (pow.f64 m 2) -1/8) 1/2)
(/.f64 -1/16 (/.f64 1/4 (pow.f64 m 2)))
(/.f64 (-.f64 (.f64 (pow.f64 m 2) 3) (-.f64 (.f64 2 (pow.f64 m 2)) (*.f64 (pow.f64 m 2) -2))) 4)
(/.f64 (-.f64 (.f64 (pow.f64 m 2) 1/2) (.f64 1/2 (*.f64 (pow.f64 m 2) 3))) 4)
(/.f64 (-.f64 (+.f64 (.f64 (pow.f64 m 2) 4) (.f64 (pow.f64 m 2) 3)) (.f64 (.f64 (pow.f64 m 2) 4) 2)) 4)
(/.f64 (-.f64 (.f64 (pow.f64 m 2) -7/4) (.f64 (pow.f64 m 2) -2)) -1)
(/.f64 (-.f64 (.f64 (pow.f64 m 2) -1/8) (.f64 1/2 (*.f64 (pow.f64 m 2) -3/4))) -1)
(neg.f64 (*.f64 (pow.f64 m 2) 1/4))

Outputs
(+.f64 (*.f64 -1/4 (pow.f64 m 2)) 0)
(*.f64 -1/4 (pow.f64 m 2))
(+.f64 (.f64 -1/4 (pow.f64 m 2)) (.f64 (pow.f64 m 2) 0))
(*.f64 -1/4 (pow.f64 m 2))
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(*.f64 -1/4 (pow.f64 m 2))
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(*.f64 -1/4 (pow.f64 m 2))
(+.f64 (.f64 (pow.f64 m 2) 1/4) (.f64 (pow.f64 m 2) -1/2))
(*.f64 -1/4 (pow.f64 m 2))
(+.f64 (.f64 (pow.f64 m 2) -1/2) (.f64 (pow.f64 m 2) 1/4))
(*.f64 -1/4 (pow.f64 m 2))
(+.f64 (.f64 (pow.f64 m 2) 0) (.f64 -1/4 (pow.f64 m 2)))
(*.f64 -1/4 (pow.f64 m 2))
(+.f64 (.f64 (pow.f64 m 2) 1/2) (.f64 (pow.f64 m 2) -3/4))
(*.f64 -1/4 (pow.f64 m 2))
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(*.f64 -1/4 (pow.f64 m 2))
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(*.f64 -1/4 (pow.f64 m 2))
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(*.f64 -1/4 (pow.f64 m 2))
(+.f64 (/.f64 (.f64 -1/4 (pow.f64 m 2)) 4) (/.f64 (.f64 (pow.f64 m 2) -3/4) 4))
(*.f64 -1/4 (pow.f64 m 2))
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(*.f64 -1/4 (pow.f64 m 2))
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(*.f64 -1/4 (pow.f64 m 2))
(+.f64 (.f64 (.f64 (pow.f64 m 2) -3/4) 1/4) (.f64 1/4 (.f64 -1/4 (pow.f64 m 2))))
(*.f64 -1/4 (pow.f64 m 2))
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(*.f64 -1/4 (pow.f64 m 2))
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(-.f64 (pow.f64 m 2) (+.f64 (.f64 (pow.f64 m 2) 3/4) (.f64 (pow.f64 m 2) 1/2)))
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(-.f64 (neg.f64 (pow.f64 m 2)) (*.f64 (pow.f64 m 2) -3/4))
(*.f64 -1/4 (pow.f64 m 2))
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(*.f64 -1/4 (pow.f64 m 2))
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(*.f64 -1/4 (pow.f64 m 2))
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(-.f64 (/.f64 (.f64 (.f64 (pow.f64 m 2) 4) 2) -4) (/.f64 (+.f64 (.f64 (pow.f64 m 2) 4) (.f64 (pow.f64 m 2) 3)) -4))
(*.f64 -1/4 (pow.f64 m 2))
(-.f64 (/.f64 (.f64 (pow.f64 m 2) -5/4) 4) (/.f64 (.f64 -1/4 (pow.f64 m 2)) 4))
(*.f64 -1/4 (pow.f64 m 2))
(-.f64 (.f64 (.f64 (pow.f64 m 2) 1/4) 1/2) (.f64 1/2 (.f64 (pow.f64 m 2) 3/4)))
(*.f64 -1/4 (pow.f64 m 2))
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(-.f64 (.f64 (.f64 (pow.f64 m 2) 3) -1/8) (*.f64 (pow.f64 m 2) -1/8))
(*.f64 -1/4 (pow.f64 m 2))
(-.f64 (-.f64 (.f64 (pow.f64 m 2) -1/2) (.f64 (pow.f64 m 2) -1/8)) (*.f64 (pow.f64 m 2) -1/8))
(*.f64 -1/4 (pow.f64 m 2))
(-.f64 (.f64 (.f64 (pow.f64 m 2) -5/4) 1/2) (.f64 1/2 (.f64 (pow.f64 m 2) -3/4)))
(*.f64 -1/4 (pow.f64 m 2))
(-.f64 (.f64 (-.f64 (.f64 2 (pow.f64 m 2)) (.f64 (pow.f64 m 2) -2)) -1/4) (.f64 (pow.f64 m 2) -3/4))
(*.f64 -1/4 (pow.f64 m 2))
(-.f64 (.f64 (.f64 1/2 (.f64 (pow.f64 m 2) 3)) -1/4) (.f64 (pow.f64 m 2) -1/8))
(*.f64 -1/4 (pow.f64 m 2))
(-.f64 (.f64 (.f64 (.f64 (pow.f64 m 2) 4) 2) -1/4) (.f64 -1/4 (+.f64 (.f64 (pow.f64 m 2) 4) (.f64 (pow.f64 m 2) 3))))
(*.f64 -1/4 (pow.f64 m 2))
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(*.f64 -1/4 (pow.f64 m 2))
(-.f64 (.f64 (.f64 (pow.f64 m 2) 5) -1/8) (.f64 -1/8 (.f64 (pow.f64 m 2) 3)))
(*.f64 -1/4 (pow.f64 m 2))
(-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 m 2) -3/4)) (.f64 1/2 (.f64 (pow.f64 m 2) -3/4))) (*.f64 (pow.f64 m 2) -1/2))
(*.f64 -1/4 (pow.f64 m 2))
(-.f64 (-.f64 (.f64 -1/4 (pow.f64 m 2)) (.f64 2 (pow.f64 m 2))) (*.f64 (pow.f64 m 2) -2))
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(/.f64 (*.f64 -1/4 (pow.f64 m 2)) 1)
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(/.f64 -1 (/.f64 4 (pow.f64 m 2)))
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(*.f64 -1/4 (pow.f64 m 2))
(/.f64 -1 (-.f64 0 (/.f64 -4 (pow.f64 m 2))))
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(/.f64 (neg.f64 (pow.f64 m 2)) 4)
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(/.f64 1/4 (/.f64 -1 (pow.f64 m 2)))
(*.f64 -1/4 (pow.f64 m 2))
(/.f64 1/4 (-.f64 (/.f64 1 (pow.f64 m 2)) (/.f64 2 (pow.f64 m 2))))
(*.f64 -1/4 (pow.f64 m 2))
(/.f64 (*.f64 2 (pow.f64 m 2)) -8)
(*.f64 -1/4 (pow.f64 m 2))
(/.f64 (*.f64 (pow.f64 m 2) -1/2) 2)
(*.f64 -1/4 (pow.f64 m 2))
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(/.f64 -1/8 (/.f64 1/2 (pow.f64 m 2)))
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(/.f64 (*.f64 (pow.f64 m 2) -2) 8)
(*.f64 -1/4 (pow.f64 m 2))
(/.f64 (*.f64 (pow.f64 m 2) 1/2) -2)
(*.f64 -1/4 (pow.f64 m 2))
(/.f64 1/8 (/.f64 -1/2 (pow.f64 m 2)))
(*.f64 -1/4 (pow.f64 m 2))
(/.f64 1/8 (-.f64 0 (/.f64 1/2 (pow.f64 m 2))))
(*.f64 -1/4 (pow.f64 m 2))
(/.f64 (*.f64 (pow.f64 m 2) -1/8) 1/2)
(*.f64 -1/4 (pow.f64 m 2))
(/.f64 -1/16 (/.f64 1/4 (pow.f64 m 2)))
(*.f64 -1/4 (pow.f64 m 2))
(/.f64 (-.f64 (.f64 (pow.f64 m 2) 3) (-.f64 (.f64 2 (pow.f64 m 2)) (*.f64 (pow.f64 m 2) -2))) 4)
(*.f64 -1/4 (pow.f64 m 2))
(/.f64 (-.f64 (.f64 (pow.f64 m 2) 1/2) (.f64 1/2 (*.f64 (pow.f64 m 2) 3))) 4)
(*.f64 -1/4 (pow.f64 m 2))
(/.f64 (-.f64 (+.f64 (.f64 (pow.f64 m 2) 4) (.f64 (pow.f64 m 2) 3)) (.f64 (.f64 (pow.f64 m 2) 4) 2)) 4)
(*.f64 -1/4 (pow.f64 m 2))
(/.f64 (-.f64 (.f64 (pow.f64 m 2) -7/4) (.f64 (pow.f64 m 2) -2)) -1)
(*.f64 -1/4 (pow.f64 m 2))
(/.f64 (-.f64 (.f64 (pow.f64 m 2) -1/8) (.f64 1/2 (*.f64 (pow.f64 m 2) -3/4))) -1)
(*.f64 -1/4 (pow.f64 m 2))
(neg.f64 (*.f64 (pow.f64 m 2) 1/4))
(*.f64 -1/4 (pow.f64 m 2))

localize62.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 2 (+.f64 m n))
	0.2b	(/.f64 K (/.f64 2 (+.f64 m n)))
✓	0.2b	(*.f64 (pow.f64 m 2) 1/4)
	32.0b	(cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M))

Compiler

Compiled 116 to 54 computations (53.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite76.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1790×	`rational.json-1`
662×	`rational.json-simplify-42`
654×	`rational.json-simplify-13`
602×	`rational.json-simplify-29`
524×	`rational.json-simplify-24`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	38	13
2	92	13
3	333	13
4	1891	13
5	7653	13

Stop Event

1×	node limit

Counts

1 → 93

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 m 2) (*.f64 (pow.f64 m 2) -3/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 m 2) 1/4) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 m 2) 1/4) (*.f64 (pow.f64 m 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 m 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 m 2) -1/4) (*.f64 (pow.f64 m 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 m 2) 1/2) (*.f64 (pow.f64 m 2) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 m 2) 0) (*.f64 (pow.f64 m 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 m 2) -1/2) (*.f64 (pow.f64 m 2) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 m 2) 1/8) (*.f64 (pow.f64 m 2) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 (pow.f64 m 2) 3/4)) (*.f64 1/2 (*.f64 (pow.f64 m 2) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 m 2) -3/4) (pow.f64 m 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (pow.f64 m 2) 1/4) 4) (/.f64 (*.f64 (pow.f64 m 2) 3/4) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (pow.f64 m 2) 3/4) 4) (/.f64 (*.f64 (pow.f64 m 2) 1/4) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 m 2) 1/4) 1/4) (*.f64 1/4 (*.f64 (pow.f64 m 2) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 m 2) 1/4) -1/2) (*.f64 -1/2 (*.f64 (pow.f64 m 2) -3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 m 2) 3/4) 1/4) (*.f64 1/4 (*.f64 (pow.f64 m 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (pow.f64 m 2) 3) 1/8) (*.f64 1/8 (neg.f64 (pow.f64 m 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 m 2) (*.f64 (pow.f64 m 2) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 m 2) (+.f64 (neg.f64 (pow.f64 m 2)) (*.f64 (pow.f64 m 2) 7/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 m 2) 1/4) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 m 2) 1/4) (*.f64 (pow.f64 m 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (pow.f64 m 2) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (pow.f64 m 2)) (+.f64 (*.f64 (pow.f64 m 2) -3/4) (*.f64 (pow.f64 m 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (pow.f64 m 2)) (+.f64 (*.f64 (pow.f64 m 2) -2) (*.f64 (pow.f64 m 2) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (pow.f64 m 2)) (+.f64 (*.f64 (pow.f64 m 2) -3) (*.f64 (pow.f64 m 2) 7/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (pow.f64 m 2)) (+.f64 (neg.f64 (pow.f64 m 2)) (*.f64 (pow.f64 m 2) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 m 2) -1/4) (*.f64 (pow.f64 m 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (pow.f64 m 2)) (*.f64 (pow.f64 m 2) 7/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (pow.f64 m 2)) (+.f64 (*.f64 (pow.f64 m 2) 7/4) (*.f64 (pow.f64 m 2) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (pow.f64 m 2)) (+.f64 0 (*.f64 (pow.f64 m 2) 7/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (pow.f64 m 2)) (+.f64 (*.f64 (pow.f64 m 2) 0) (*.f64 (pow.f64 m 2) 7/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (pow.f64 m 2)) (+.f64 (*.f64 2 (pow.f64 m 2)) (*.f64 (pow.f64 m 2) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 m 2) 1/2) (*.f64 (pow.f64 m 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 m 2) 1/2) (+.f64 (*.f64 (pow.f64 m 2) 3/4) (*.f64 (pow.f64 m 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 m 2) 0) (*.f64 (pow.f64 m 2) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 m 2) -1/2) (*.f64 (pow.f64 m 2) -3/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 m 2) -1/2) (/.f64 (*.f64 (pow.f64 m 2) 3) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 m 2) 4) (+.f64 (*.f64 2 (pow.f64 m 2)) (*.f64 (pow.f64 m 2) 7/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 m 2) 3/4) (*.f64 (pow.f64 m 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 m 2) 3/2) (*.f64 (pow.f64 m 2) 5/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 m 2) 1/8) (*.f64 1/2 (*.f64 (pow.f64 m 2) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 m 2) 1/8) (*.f64 -1/2 (*.f64 (pow.f64 m 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 m 2) 1/8) (*.f64 1/8 (neg.f64 (pow.f64 m 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (*.f64 (pow.f64 m 2) 3/4)) (*.f64 (pow.f64 m 2) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 m 2) -3/4) (neg.f64 (pow.f64 m 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (neg.f64 (pow.f64 m 2)) 1/8) (*.f64 1/8 (*.f64 (pow.f64 m 2) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 m 2) 3) -4) (/.f64 (*.f64 (pow.f64 m 2) 4) -4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 (*.f64 2 (pow.f64 m 2)) (*.f64 (pow.f64 m 2) -2)) 4) (*.f64 (pow.f64 m 2) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 m 2) 5/4) 4) (/.f64 (*.f64 (pow.f64 m 2) 1/4) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 m 2) 3/2) 4) (*.f64 (pow.f64 m 2) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 (pow.f64 m 2) 4) 2) 4) (/.f64 (+.f64 (*.f64 (pow.f64 m 2) 4) (*.f64 (pow.f64 m 2) 3)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (pow.f64 m 2) -1/4) 1/2) (*.f64 1/2 (*.f64 (pow.f64 m 2) -3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (pow.f64 m 2) 1/4) -1/2) (*.f64 -1/2 (*.f64 (pow.f64 m 2) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (pow.f64 m 2) 3) 1/8) (*.f64 (pow.f64 m 2) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 (pow.f64 m 2) 1/2) (*.f64 (pow.f64 m 2) 1/8)) (*.f64 (pow.f64 m 2) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (pow.f64 m 2) 5/4) 1/2) (*.f64 1/2 (*.f64 (pow.f64 m 2) 3/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 (*.f64 2 (pow.f64 m 2)) (*.f64 (pow.f64 m 2) -2)) 1/4) (*.f64 (pow.f64 m 2) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (pow.f64 m 2) 5/4) 1/4) (*.f64 1/4 (*.f64 (pow.f64 m 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (pow.f64 m 2) 3/2) 1/4) (*.f64 (pow.f64 m 2) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (*.f64 (pow.f64 m 2) 4) 2) 1/4) (*.f64 1/4 (+.f64 (*.f64 (pow.f64 m 2) 4) (*.f64 (pow.f64 m 2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (pow.f64 m 2) 5) 1/8) (*.f64 1/8 (*.f64 (pow.f64 m 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 m 2) 3/4)) (*.f64 1/2 (*.f64 (pow.f64 m 2) 3/4))) (*.f64 (pow.f64 m 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 (pow.f64 m 2) 1/4) (*.f64 2 (pow.f64 m 2))) (*.f64 (pow.f64 m 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (/.f64 4 (pow.f64 m 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (/.f64 1 (pow.f64 m 2)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 m 2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/4 (/.f64 1 (pow.f64 m 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 m 2) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 4 (pow.f64 m 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 -4 (pow.f64 m 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 1 (pow.f64 m 2)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 -1 (pow.f64 m 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (-.f64 0 (/.f64 4 (pow.f64 m 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 m 2)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 m 2) -1/4) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/4 (/.f64 -1 (pow.f64 m 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/4 (-.f64 (/.f64 1 (pow.f64 m 2)) (/.f64 2 (pow.f64 m 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 m 2)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 m 2) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 2 (pow.f64 m 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/8 (/.f64 1/2 (pow.f64 m 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 m 2) -2) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 m 2) -1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (/.f64 -2 (pow.f64 m 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/8 (/.f64 -1/2 (pow.f64 m 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/8 (-.f64 0 (/.f64 1/2 (pow.f64 m 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 m 2) 1/8) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/16 (/.f64 1/4 (pow.f64 m 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 m 2) 3) (-.f64 (*.f64 2 (pow.f64 m 2)) (*.f64 (pow.f64 m 2) -2))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (*.f64 (pow.f64 m 2) 4) (*.f64 (pow.f64 m 2) 3)) (*.f64 (*.f64 (pow.f64 m 2) 4) 2)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 m 2) 7/4) (*.f64 2 (pow.f64 m 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 m 2) 1/8) (*.f64 1/2 (*.f64 (pow.f64 m 2) 3/4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 m 2) -1/4))))))

simplify64.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

884×	`rational.json-simplify-44`
748×	`rational.json-simplify-37`
748×	`rational.json-simplify-63`
708×	`rational.json-simplify-35`
680×	`rational.json-simplify-13`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	211	1365
1	659	1365
2	3181	1365

Stop Event

1×	node limit

Counts

105 → 94

Calls

Call 1

Inputs
(*.f64 1/4 (pow.f64 m 2))
(*.f64 1/4 (pow.f64 m 2))
(*.f64 1/4 (pow.f64 m 2))
(*.f64 1/4 (pow.f64 m 2))
(*.f64 1/4 (pow.f64 m 2))
(*.f64 1/4 (pow.f64 m 2))
(*.f64 1/4 (pow.f64 m 2))
(*.f64 1/4 (pow.f64 m 2))
(*.f64 1/4 (pow.f64 m 2))
(*.f64 1/4 (pow.f64 m 2))
(*.f64 1/4 (pow.f64 m 2))
(*.f64 1/4 (pow.f64 m 2))
(+.f64 (pow.f64 m 2) (*.f64 (pow.f64 m 2) -3/4))
(+.f64 (*.f64 (pow.f64 m 2) 1/4) 0)
(+.f64 (.f64 (pow.f64 m 2) 1/4) (.f64 (pow.f64 m 2) 0))
(+.f64 0 (*.f64 (pow.f64 m 2) 1/4))
(+.f64 (.f64 (pow.f64 m 2) -1/4) (.f64 (pow.f64 m 2) 1/2))
(+.f64 (.f64 (pow.f64 m 2) 1/2) (.f64 (pow.f64 m 2) -1/4))
(+.f64 (.f64 (pow.f64 m 2) 0) (.f64 (pow.f64 m 2) 1/4))
(+.f64 (.f64 (pow.f64 m 2) -1/2) (.f64 (pow.f64 m 2) 3/4))
(+.f64 (.f64 (pow.f64 m 2) 1/8) (.f64 (pow.f64 m 2) 1/8))
(+.f64 (.f64 1/2 (.f64 (pow.f64 m 2) 3/4)) (.f64 1/2 (.f64 (pow.f64 m 2) -1/4)))
(+.f64 (*.f64 (pow.f64 m 2) -3/4) (pow.f64 m 2))
(+.f64 (/.f64 (.f64 (pow.f64 m 2) 1/4) 4) (/.f64 (.f64 (pow.f64 m 2) 3/4) 4))
(+.f64 (/.f64 (.f64 (pow.f64 m 2) 3/4) 4) (/.f64 (.f64 (pow.f64 m 2) 1/4) 4))
(+.f64 (.f64 (.f64 (pow.f64 m 2) 1/4) 1/4) (.f64 1/4 (.f64 (pow.f64 m 2) 3/4)))
(+.f64 (.f64 (.f64 (pow.f64 m 2) 1/4) -1/2) (.f64 -1/2 (.f64 (pow.f64 m 2) -3/4)))
(+.f64 (.f64 (.f64 (pow.f64 m 2) 3/4) 1/4) (.f64 1/4 (.f64 (pow.f64 m 2) 1/4)))
(+.f64 (.f64 (.f64 (pow.f64 m 2) 3) 1/8) (*.f64 1/8 (neg.f64 (pow.f64 m 2))))
(-.f64 (pow.f64 m 2) (*.f64 (pow.f64 m 2) 3/4))
(-.f64 (pow.f64 m 2) (+.f64 (neg.f64 (pow.f64 m 2)) (*.f64 (pow.f64 m 2) 7/4)))
(-.f64 (*.f64 (pow.f64 m 2) 1/4) 0)
(-.f64 (.f64 (pow.f64 m 2) 1/4) (.f64 (pow.f64 m 2) 0))
(-.f64 0 (*.f64 (pow.f64 m 2) -1/4))
(-.f64 (neg.f64 (pow.f64 m 2)) (+.f64 (.f64 (pow.f64 m 2) -3/4) (.f64 (pow.f64 m 2) -1/2)))
(-.f64 (neg.f64 (pow.f64 m 2)) (+.f64 (.f64 (pow.f64 m 2) -2) (.f64 (pow.f64 m 2) 3/4)))
(-.f64 (neg.f64 (pow.f64 m 2)) (+.f64 (.f64 (pow.f64 m 2) -3) (.f64 (pow.f64 m 2) 7/4)))
(-.f64 (neg.f64 (pow.f64 m 2)) (+.f64 (neg.f64 (pow.f64 m 2)) (*.f64 (pow.f64 m 2) -1/4)))
(-.f64 (.f64 (pow.f64 m 2) -1/4) (.f64 (pow.f64 m 2) -1/2))
(-.f64 (.f64 2 (pow.f64 m 2)) (.f64 (pow.f64 m 2) 7/4))
(-.f64 (.f64 2 (pow.f64 m 2)) (+.f64 (.f64 (pow.f64 m 2) 7/4) (*.f64 (pow.f64 m 2) 0)))
(-.f64 (.f64 2 (pow.f64 m 2)) (+.f64 0 (.f64 (pow.f64 m 2) 7/4)))
(-.f64 (.f64 2 (pow.f64 m 2)) (+.f64 (.f64 (pow.f64 m 2) 0) (*.f64 (pow.f64 m 2) 7/4)))
(-.f64 (.f64 2 (pow.f64 m 2)) (+.f64 (.f64 2 (pow.f64 m 2)) (*.f64 (pow.f64 m 2) -1/4)))
(-.f64 (.f64 (pow.f64 m 2) 1/2) (.f64 (pow.f64 m 2) 1/4))
(-.f64 (.f64 (pow.f64 m 2) 1/2) (+.f64 (.f64 (pow.f64 m 2) 3/4) (*.f64 (pow.f64 m 2) -1/2)))
(-.f64 (.f64 (pow.f64 m 2) 0) (.f64 (pow.f64 m 2) -1/4))
(-.f64 (.f64 (pow.f64 m 2) -1/2) (.f64 (pow.f64 m 2) -3/4))
(-.f64 (.f64 (pow.f64 m 2) -1/2) (/.f64 (.f64 (pow.f64 m 2) 3) -4))
(-.f64 (.f64 (pow.f64 m 2) 4) (+.f64 (.f64 2 (pow.f64 m 2)) (*.f64 (pow.f64 m 2) 7/4)))
(-.f64 (.f64 (pow.f64 m 2) 3/4) (.f64 (pow.f64 m 2) 1/2))
(-.f64 (.f64 (pow.f64 m 2) 3/2) (.f64 (pow.f64 m 2) 5/4))
(-.f64 (.f64 (pow.f64 m 2) 1/8) (.f64 1/2 (*.f64 (pow.f64 m 2) -1/4)))
(-.f64 (.f64 (pow.f64 m 2) 1/8) (.f64 -1/2 (*.f64 (pow.f64 m 2) 1/4)))
(-.f64 (.f64 (pow.f64 m 2) 1/8) (.f64 1/8 (neg.f64 (pow.f64 m 2))))
(-.f64 (.f64 1/2 (.f64 (pow.f64 m 2) 3/4)) (*.f64 (pow.f64 m 2) 1/8))
(-.f64 (*.f64 (pow.f64 m 2) -3/4) (neg.f64 (pow.f64 m 2)))
(-.f64 (.f64 (neg.f64 (pow.f64 m 2)) 1/8) (.f64 1/8 (*.f64 (pow.f64 m 2) -3)))
(-.f64 (/.f64 (.f64 (pow.f64 m 2) 3) -4) (/.f64 (.f64 (pow.f64 m 2) 4) -4))
(-.f64 (/.f64 (-.f64 (.f64 2 (pow.f64 m 2)) (.f64 (pow.f64 m 2) -2)) 4) (*.f64 (pow.f64 m 2) 3/4))
(-.f64 (/.f64 (.f64 (pow.f64 m 2) 5/4) 4) (/.f64 (.f64 (pow.f64 m 2) 1/4) 4))
(-.f64 (/.f64 (.f64 (pow.f64 m 2) 3/2) 4) (.f64 (pow.f64 m 2) 1/8))
(-.f64 (/.f64 (.f64 (.f64 (pow.f64 m 2) 4) 2) 4) (/.f64 (+.f64 (.f64 (pow.f64 m 2) 4) (.f64 (pow.f64 m 2) 3)) 4))
(-.f64 (.f64 (.f64 (pow.f64 m 2) -1/4) 1/2) (.f64 1/2 (.f64 (pow.f64 m 2) -3/4)))
(-.f64 (.f64 (.f64 (pow.f64 m 2) 1/4) -1/2) (.f64 -1/2 (.f64 (pow.f64 m 2) 3/4)))
(-.f64 (.f64 (.f64 (pow.f64 m 2) 3) 1/8) (*.f64 (pow.f64 m 2) 1/8))
(-.f64 (-.f64 (.f64 (pow.f64 m 2) 1/2) (.f64 (pow.f64 m 2) 1/8)) (*.f64 (pow.f64 m 2) 1/8))
(-.f64 (.f64 (.f64 (pow.f64 m 2) 5/4) 1/2) (.f64 1/2 (.f64 (pow.f64 m 2) 3/4)))
(-.f64 (.f64 (-.f64 (.f64 2 (pow.f64 m 2)) (.f64 (pow.f64 m 2) -2)) 1/4) (.f64 (pow.f64 m 2) 3/4))
(-.f64 (.f64 (.f64 (pow.f64 m 2) 5/4) 1/4) (.f64 1/4 (.f64 (pow.f64 m 2) 1/4)))
(-.f64 (.f64 (.f64 (pow.f64 m 2) 3/2) 1/4) (*.f64 (pow.f64 m 2) 1/8))
(-.f64 (.f64 (.f64 (.f64 (pow.f64 m 2) 4) 2) 1/4) (.f64 1/4 (+.f64 (.f64 (pow.f64 m 2) 4) (.f64 (pow.f64 m 2) 3))))
(-.f64 (.f64 (.f64 (pow.f64 m 2) 5) 1/8) (.f64 1/8 (.f64 (pow.f64 m 2) 3)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 m 2) 3/4)) (.f64 1/2 (.f64 (pow.f64 m 2) 3/4))) (*.f64 (pow.f64 m 2) 1/2))
(-.f64 (-.f64 (.f64 (pow.f64 m 2) 1/4) (.f64 2 (pow.f64 m 2))) (*.f64 (pow.f64 m 2) -2))
(/.f64 2 (/.f64 (/.f64 4 (pow.f64 m 2)) 1/2))
(/.f64 2 (/.f64 (/.f64 1 (pow.f64 m 2)) 1/8))
(/.f64 (pow.f64 m 2) 4)
(/.f64 1/4 (/.f64 1 (pow.f64 m 2)))
(/.f64 (*.f64 (pow.f64 m 2) 1/4) 1)
(/.f64 1 (/.f64 4 (pow.f64 m 2)))
(/.f64 -1 (/.f64 -4 (pow.f64 m 2)))
(/.f64 -1 (*.f64 (/.f64 1 (pow.f64 m 2)) -4))
(/.f64 -1 (*.f64 (/.f64 -1 (pow.f64 m 2)) 4))
(/.f64 -1 (-.f64 0 (/.f64 4 (pow.f64 m 2))))
(/.f64 (neg.f64 (pow.f64 m 2)) -4)
(/.f64 (*.f64 (pow.f64 m 2) -1/4) -1)
(/.f64 -1/4 (/.f64 -1 (pow.f64 m 2)))
(/.f64 -1/4 (-.f64 (/.f64 1 (pow.f64 m 2)) (/.f64 2 (pow.f64 m 2))))
(/.f64 (*.f64 2 (pow.f64 m 2)) 8)
(/.f64 (*.f64 (pow.f64 m 2) 1/2) 2)
(/.f64 1/2 (/.f64 2 (pow.f64 m 2)))
(/.f64 1/8 (/.f64 1/2 (pow.f64 m 2)))
(/.f64 (*.f64 (pow.f64 m 2) -2) -8)
(/.f64 (*.f64 (pow.f64 m 2) -1/2) -2)
(/.f64 -1/2 (/.f64 -2 (pow.f64 m 2)))
(/.f64 -1/8 (/.f64 -1/2 (pow.f64 m 2)))
(/.f64 -1/8 (-.f64 0 (/.f64 1/2 (pow.f64 m 2))))
(/.f64 (*.f64 (pow.f64 m 2) 1/8) 1/2)
(/.f64 1/16 (/.f64 1/4 (pow.f64 m 2)))
(/.f64 (-.f64 (.f64 (pow.f64 m 2) 3) (-.f64 (.f64 2 (pow.f64 m 2)) (*.f64 (pow.f64 m 2) -2))) -4)
(/.f64 (-.f64 (+.f64 (.f64 (pow.f64 m 2) 4) (.f64 (pow.f64 m 2) 3)) (.f64 (.f64 (pow.f64 m 2) 4) 2)) -4)
(/.f64 (-.f64 (.f64 (pow.f64 m 2) 7/4) (.f64 2 (pow.f64 m 2))) -1)
(/.f64 (-.f64 (.f64 (pow.f64 m 2) 1/8) (.f64 1/2 (*.f64 (pow.f64 m 2) 3/4))) -1)
(neg.f64 (*.f64 (pow.f64 m 2) -1/4))

Outputs
(*.f64 1/4 (pow.f64 m 2))
(*.f64 1/4 (pow.f64 m 2))
(*.f64 1/4 (pow.f64 m 2))
(*.f64 1/4 (pow.f64 m 2))
(*.f64 1/4 (pow.f64 m 2))
(*.f64 1/4 (pow.f64 m 2))
(*.f64 1/4 (pow.f64 m 2))
(*.f64 1/4 (pow.f64 m 2))
(*.f64 1/4 (pow.f64 m 2))
(*.f64 1/4 (pow.f64 m 2))
(*.f64 1/4 (pow.f64 m 2))
(*.f64 1/4 (pow.f64 m 2))
(+.f64 (pow.f64 m 2) (*.f64 (pow.f64 m 2) -3/4))
(*.f64 1/4 (pow.f64 m 2))
(+.f64 (*.f64 (pow.f64 m 2) 1/4) 0)
(*.f64 1/4 (pow.f64 m 2))
(+.f64 (.f64 (pow.f64 m 2) 1/4) (.f64 (pow.f64 m 2) 0))
(*.f64 1/4 (pow.f64 m 2))
(+.f64 0 (*.f64 (pow.f64 m 2) 1/4))
(*.f64 1/4 (pow.f64 m 2))
(+.f64 (.f64 (pow.f64 m 2) -1/4) (.f64 (pow.f64 m 2) 1/2))
(*.f64 1/4 (pow.f64 m 2))
(+.f64 (.f64 (pow.f64 m 2) 1/2) (.f64 (pow.f64 m 2) -1/4))
(*.f64 1/4 (pow.f64 m 2))
(+.f64 (.f64 (pow.f64 m 2) 0) (.f64 (pow.f64 m 2) 1/4))
(*.f64 1/4 (pow.f64 m 2))
(+.f64 (.f64 (pow.f64 m 2) -1/2) (.f64 (pow.f64 m 2) 3/4))
(*.f64 1/4 (pow.f64 m 2))
(+.f64 (.f64 (pow.f64 m 2) 1/8) (.f64 (pow.f64 m 2) 1/8))
(*.f64 1/4 (pow.f64 m 2))
(+.f64 (.f64 1/2 (.f64 (pow.f64 m 2) 3/4)) (.f64 1/2 (.f64 (pow.f64 m 2) -1/4)))
(*.f64 1/4 (pow.f64 m 2))
(+.f64 (*.f64 (pow.f64 m 2) -3/4) (pow.f64 m 2))
(*.f64 1/4 (pow.f64 m 2))
(+.f64 (/.f64 (.f64 (pow.f64 m 2) 1/4) 4) (/.f64 (.f64 (pow.f64 m 2) 3/4) 4))
(*.f64 1/4 (pow.f64 m 2))
(+.f64 (/.f64 (.f64 (pow.f64 m 2) 3/4) 4) (/.f64 (.f64 (pow.f64 m 2) 1/4) 4))
(*.f64 1/4 (pow.f64 m 2))
(+.f64 (.f64 (.f64 (pow.f64 m 2) 1/4) 1/4) (.f64 1/4 (.f64 (pow.f64 m 2) 3/4)))
(*.f64 1/4 (pow.f64 m 2))
(+.f64 (.f64 (.f64 (pow.f64 m 2) 1/4) -1/2) (.f64 -1/2 (.f64 (pow.f64 m 2) -3/4)))
(*.f64 1/4 (pow.f64 m 2))
(+.f64 (.f64 (.f64 (pow.f64 m 2) 3/4) 1/4) (.f64 1/4 (.f64 (pow.f64 m 2) 1/4)))
(*.f64 1/4 (pow.f64 m 2))
(+.f64 (.f64 (.f64 (pow.f64 m 2) 3) 1/8) (*.f64 1/8 (neg.f64 (pow.f64 m 2))))
(*.f64 1/4 (pow.f64 m 2))
(-.f64 (pow.f64 m 2) (*.f64 (pow.f64 m 2) 3/4))
(*.f64 1/4 (pow.f64 m 2))
(-.f64 (pow.f64 m 2) (+.f64 (neg.f64 (pow.f64 m 2)) (*.f64 (pow.f64 m 2) 7/4)))
(*.f64 1/4 (pow.f64 m 2))
(-.f64 (*.f64 (pow.f64 m 2) 1/4) 0)
(*.f64 1/4 (pow.f64 m 2))
(-.f64 (.f64 (pow.f64 m 2) 1/4) (.f64 (pow.f64 m 2) 0))
(*.f64 1/4 (pow.f64 m 2))
(-.f64 0 (*.f64 (pow.f64 m 2) -1/4))
(*.f64 1/4 (pow.f64 m 2))
(-.f64 (neg.f64 (pow.f64 m 2)) (+.f64 (.f64 (pow.f64 m 2) -3/4) (.f64 (pow.f64 m 2) -1/2)))
(*.f64 1/4 (pow.f64 m 2))
(-.f64 (neg.f64 (pow.f64 m 2)) (+.f64 (.f64 (pow.f64 m 2) -2) (.f64 (pow.f64 m 2) 3/4)))
(*.f64 1/4 (pow.f64 m 2))
(-.f64 (neg.f64 (pow.f64 m 2)) (+.f64 (.f64 (pow.f64 m 2) -3) (.f64 (pow.f64 m 2) 7/4)))
(*.f64 1/4 (pow.f64 m 2))
(-.f64 (neg.f64 (pow.f64 m 2)) (+.f64 (neg.f64 (pow.f64 m 2)) (*.f64 (pow.f64 m 2) -1/4)))
(*.f64 1/4 (pow.f64 m 2))
(-.f64 (.f64 (pow.f64 m 2) -1/4) (.f64 (pow.f64 m 2) -1/2))
(*.f64 1/4 (pow.f64 m 2))
(-.f64 (.f64 2 (pow.f64 m 2)) (.f64 (pow.f64 m 2) 7/4))
(*.f64 1/4 (pow.f64 m 2))
(-.f64 (.f64 2 (pow.f64 m 2)) (+.f64 (.f64 (pow.f64 m 2) 7/4) (*.f64 (pow.f64 m 2) 0)))
(*.f64 1/4 (pow.f64 m 2))
(-.f64 (.f64 2 (pow.f64 m 2)) (+.f64 0 (.f64 (pow.f64 m 2) 7/4)))
(*.f64 1/4 (pow.f64 m 2))
(-.f64 (.f64 2 (pow.f64 m 2)) (+.f64 (.f64 (pow.f64 m 2) 0) (*.f64 (pow.f64 m 2) 7/4)))
(*.f64 1/4 (pow.f64 m 2))
(-.f64 (.f64 2 (pow.f64 m 2)) (+.f64 (.f64 2 (pow.f64 m 2)) (*.f64 (pow.f64 m 2) -1/4)))
(*.f64 1/4 (pow.f64 m 2))
(-.f64 (.f64 (pow.f64 m 2) 1/2) (.f64 (pow.f64 m 2) 1/4))
(*.f64 1/4 (pow.f64 m 2))
(-.f64 (.f64 (pow.f64 m 2) 1/2) (+.f64 (.f64 (pow.f64 m 2) 3/4) (*.f64 (pow.f64 m 2) -1/2)))
(*.f64 1/4 (pow.f64 m 2))
(-.f64 (.f64 (pow.f64 m 2) 0) (.f64 (pow.f64 m 2) -1/4))
(*.f64 1/4 (pow.f64 m 2))
(-.f64 (.f64 (pow.f64 m 2) -1/2) (.f64 (pow.f64 m 2) -3/4))
(*.f64 1/4 (pow.f64 m 2))
(-.f64 (.f64 (pow.f64 m 2) -1/2) (/.f64 (.f64 (pow.f64 m 2) 3) -4))
(*.f64 1/4 (pow.f64 m 2))
(-.f64 (.f64 (pow.f64 m 2) 4) (+.f64 (.f64 2 (pow.f64 m 2)) (*.f64 (pow.f64 m 2) 7/4)))
(*.f64 1/4 (pow.f64 m 2))
(-.f64 (.f64 (pow.f64 m 2) 3/4) (.f64 (pow.f64 m 2) 1/2))
(*.f64 1/4 (pow.f64 m 2))
(-.f64 (.f64 (pow.f64 m 2) 3/2) (.f64 (pow.f64 m 2) 5/4))
(*.f64 1/4 (pow.f64 m 2))
(-.f64 (.f64 (pow.f64 m 2) 1/8) (.f64 1/2 (*.f64 (pow.f64 m 2) -1/4)))
(*.f64 1/4 (pow.f64 m 2))
(-.f64 (.f64 (pow.f64 m 2) 1/8) (.f64 -1/2 (*.f64 (pow.f64 m 2) 1/4)))
(*.f64 1/4 (pow.f64 m 2))
(-.f64 (.f64 (pow.f64 m 2) 1/8) (.f64 1/8 (neg.f64 (pow.f64 m 2))))
(*.f64 1/4 (pow.f64 m 2))
(-.f64 (.f64 1/2 (.f64 (pow.f64 m 2) 3/4)) (*.f64 (pow.f64 m 2) 1/8))
(*.f64 1/4 (pow.f64 m 2))
(-.f64 (*.f64 (pow.f64 m 2) -3/4) (neg.f64 (pow.f64 m 2)))
(*.f64 1/4 (pow.f64 m 2))
(-.f64 (.f64 (neg.f64 (pow.f64 m 2)) 1/8) (.f64 1/8 (*.f64 (pow.f64 m 2) -3)))
(*.f64 1/4 (pow.f64 m 2))
(-.f64 (/.f64 (.f64 (pow.f64 m 2) 3) -4) (/.f64 (.f64 (pow.f64 m 2) 4) -4))
(*.f64 1/4 (pow.f64 m 2))
(-.f64 (/.f64 (-.f64 (.f64 2 (pow.f64 m 2)) (.f64 (pow.f64 m 2) -2)) 4) (*.f64 (pow.f64 m 2) 3/4))
(*.f64 1/4 (pow.f64 m 2))
(-.f64 (/.f64 (.f64 (pow.f64 m 2) 5/4) 4) (/.f64 (.f64 (pow.f64 m 2) 1/4) 4))
(*.f64 1/4 (pow.f64 m 2))
(-.f64 (/.f64 (.f64 (pow.f64 m 2) 3/2) 4) (.f64 (pow.f64 m 2) 1/8))
(*.f64 1/4 (pow.f64 m 2))
(-.f64 (/.f64 (.f64 (.f64 (pow.f64 m 2) 4) 2) 4) (/.f64 (+.f64 (.f64 (pow.f64 m 2) 4) (.f64 (pow.f64 m 2) 3)) 4))
(*.f64 1/4 (pow.f64 m 2))
(-.f64 (.f64 (.f64 (pow.f64 m 2) -1/4) 1/2) (.f64 1/2 (.f64 (pow.f64 m 2) -3/4)))
(*.f64 1/4 (pow.f64 m 2))
(-.f64 (.f64 (.f64 (pow.f64 m 2) 1/4) -1/2) (.f64 -1/2 (.f64 (pow.f64 m 2) 3/4)))
(*.f64 1/4 (pow.f64 m 2))
(-.f64 (.f64 (.f64 (pow.f64 m 2) 3) 1/8) (*.f64 (pow.f64 m 2) 1/8))
(*.f64 1/4 (pow.f64 m 2))
(-.f64 (-.f64 (.f64 (pow.f64 m 2) 1/2) (.f64 (pow.f64 m 2) 1/8)) (*.f64 (pow.f64 m 2) 1/8))
(*.f64 1/4 (pow.f64 m 2))
(-.f64 (.f64 (.f64 (pow.f64 m 2) 5/4) 1/2) (.f64 1/2 (.f64 (pow.f64 m 2) 3/4)))
(*.f64 1/4 (pow.f64 m 2))
(-.f64 (.f64 (-.f64 (.f64 2 (pow.f64 m 2)) (.f64 (pow.f64 m 2) -2)) 1/4) (.f64 (pow.f64 m 2) 3/4))
(*.f64 1/4 (pow.f64 m 2))
(-.f64 (.f64 (.f64 (pow.f64 m 2) 5/4) 1/4) (.f64 1/4 (.f64 (pow.f64 m 2) 1/4)))
(*.f64 1/4 (pow.f64 m 2))
(-.f64 (.f64 (.f64 (pow.f64 m 2) 3/2) 1/4) (*.f64 (pow.f64 m 2) 1/8))
(*.f64 1/4 (pow.f64 m 2))
(-.f64 (.f64 (.f64 (.f64 (pow.f64 m 2) 4) 2) 1/4) (.f64 1/4 (+.f64 (.f64 (pow.f64 m 2) 4) (.f64 (pow.f64 m 2) 3))))
(*.f64 1/4 (pow.f64 m 2))
(-.f64 (.f64 (.f64 (pow.f64 m 2) 5) 1/8) (.f64 1/8 (.f64 (pow.f64 m 2) 3)))
(*.f64 1/4 (pow.f64 m 2))
(-.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 m 2) 3/4)) (.f64 1/2 (.f64 (pow.f64 m 2) 3/4))) (*.f64 (pow.f64 m 2) 1/2))
(*.f64 1/4 (pow.f64 m 2))
(-.f64 (-.f64 (.f64 (pow.f64 m 2) 1/4) (.f64 2 (pow.f64 m 2))) (*.f64 (pow.f64 m 2) -2))
(*.f64 1/4 (pow.f64 m 2))
(/.f64 2 (/.f64 (/.f64 4 (pow.f64 m 2)) 1/2))
(*.f64 1/4 (pow.f64 m 2))
(/.f64 2 (/.f64 (/.f64 1 (pow.f64 m 2)) 1/8))
(*.f64 1/4 (pow.f64 m 2))
(/.f64 (pow.f64 m 2) 4)
(*.f64 1/4 (pow.f64 m 2))
(/.f64 1/4 (/.f64 1 (pow.f64 m 2)))
(*.f64 1/4 (pow.f64 m 2))
(/.f64 (*.f64 (pow.f64 m 2) 1/4) 1)
(*.f64 1/4 (pow.f64 m 2))
(/.f64 1 (/.f64 4 (pow.f64 m 2)))
(*.f64 1/4 (pow.f64 m 2))
(/.f64 -1 (/.f64 -4 (pow.f64 m 2)))
(*.f64 1/4 (pow.f64 m 2))
(/.f64 -1 (*.f64 (/.f64 1 (pow.f64 m 2)) -4))
(*.f64 1/4 (pow.f64 m 2))
(/.f64 -1 (*.f64 (/.f64 -1 (pow.f64 m 2)) 4))
(*.f64 1/4 (pow.f64 m 2))
(/.f64 -1 (-.f64 0 (/.f64 4 (pow.f64 m 2))))
(*.f64 1/4 (pow.f64 m 2))
(/.f64 (neg.f64 (pow.f64 m 2)) -4)
(*.f64 1/4 (pow.f64 m 2))
(/.f64 (*.f64 (pow.f64 m 2) -1/4) -1)
(*.f64 1/4 (pow.f64 m 2))
(/.f64 -1/4 (/.f64 -1 (pow.f64 m 2)))
(*.f64 1/4 (pow.f64 m 2))
(/.f64 -1/4 (-.f64 (/.f64 1 (pow.f64 m 2)) (/.f64 2 (pow.f64 m 2))))
(*.f64 1/4 (pow.f64 m 2))
(/.f64 (*.f64 2 (pow.f64 m 2)) 8)
(*.f64 1/4 (pow.f64 m 2))
(/.f64 (*.f64 (pow.f64 m 2) 1/2) 2)
(*.f64 1/4 (pow.f64 m 2))
(/.f64 1/2 (/.f64 2 (pow.f64 m 2)))
(*.f64 1/4 (pow.f64 m 2))
(/.f64 1/8 (/.f64 1/2 (pow.f64 m 2)))
(*.f64 1/4 (pow.f64 m 2))
(/.f64 (*.f64 (pow.f64 m 2) -2) -8)
(*.f64 1/4 (pow.f64 m 2))
(/.f64 (*.f64 (pow.f64 m 2) -1/2) -2)
(*.f64 1/4 (pow.f64 m 2))
(/.f64 -1/2 (/.f64 -2 (pow.f64 m 2)))
(*.f64 1/4 (pow.f64 m 2))
(/.f64 -1/8 (/.f64 -1/2 (pow.f64 m 2)))
(*.f64 1/4 (pow.f64 m 2))
(/.f64 -1/8 (-.f64 0 (/.f64 1/2 (pow.f64 m 2))))
(*.f64 1/4 (pow.f64 m 2))
(/.f64 (*.f64 (pow.f64 m 2) 1/8) 1/2)
(*.f64 1/4 (pow.f64 m 2))
(/.f64 1/16 (/.f64 1/4 (pow.f64 m 2)))
(*.f64 1/4 (pow.f64 m 2))
(/.f64 (-.f64 (.f64 (pow.f64 m 2) 3) (-.f64 (.f64 2 (pow.f64 m 2)) (*.f64 (pow.f64 m 2) -2))) -4)
(*.f64 1/4 (pow.f64 m 2))
(/.f64 (-.f64 (+.f64 (.f64 (pow.f64 m 2) 4) (.f64 (pow.f64 m 2) 3)) (.f64 (.f64 (pow.f64 m 2) 4) 2)) -4)
(*.f64 1/4 (pow.f64 m 2))
(/.f64 (-.f64 (.f64 (pow.f64 m 2) 7/4) (.f64 2 (pow.f64 m 2))) -1)
(*.f64 1/4 (pow.f64 m 2))
(/.f64 (-.f64 (.f64 (pow.f64 m 2) 1/8) (.f64 1/2 (*.f64 (pow.f64 m 2) 3/4))) -1)
(*.f64 1/4 (pow.f64 m 2))
(neg.f64 (*.f64 (pow.f64 m 2) -1/4))
(*.f64 1/4 (pow.f64 m 2))

localize70.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (cos.f64 (-.f64 (/.f64 (-.f64 (.f64 2 (+.f64 n m)) (*.f64 m 3/2)) (/.f64 1 K)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
✓	0.2b	(/.f64 (-.f64 (.f64 2 (+.f64 n m)) (.f64 m 3/2)) (/.f64 1 K))
✓	0.4b	(-.f64 (.f64 2 (+.f64 n m)) (.f64 m 3/2))
✓	31.6b	(cos.f64 (-.f64 (/.f64 (-.f64 (.f64 2 (+.f64 n m)) (.f64 m 3/2)) (/.f64 1 K)) M))

Compiler

Compiled 145 to 74 computations (49% saved)

series31.0ms (0.2%)

Counts

4 → 168

Calls

42 calls:

Time	Variable		Point	Expression
10.0ms	m	@	-inf	(.f64 (cos.f64 (-.f64 (/.f64 (-.f64 (.f64 2 (+.f64 n m)) (*.f64 m 3/2)) (/.f64 1 K)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
5.0ms	n	@	0	(cos.f64 (-.f64 (/.f64 (-.f64 (.f64 2 (+.f64 n m)) (.f64 m 3/2)) (/.f64 1 K)) M))
1.0ms	l	@	inf	(.f64 (cos.f64 (-.f64 (/.f64 (-.f64 (.f64 2 (+.f64 n m)) (*.f64 m 3/2)) (/.f64 1 K)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
1.0ms	l	@	0	(.f64 (cos.f64 (-.f64 (/.f64 (-.f64 (.f64 2 (+.f64 n m)) (*.f64 m 3/2)) (/.f64 1 K)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
1.0ms	K	@	0	(.f64 (cos.f64 (-.f64 (/.f64 (-.f64 (.f64 2 (+.f64 n m)) (*.f64 m 3/2)) (/.f64 1 K)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))

rewrite107.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1212×	`rational.json-simplify-1`
1168×	`rational.json-simplify-35`
1080×	`rational.json-simplify-44`
550×	`rational.json-simplify-50`
442×	`rational.json-simplify-40`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	176
1	173	176
2	683	152
3	4571	152

Stop Event

1×	node limit

Counts

4 → 295

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 (.f64 (+.f64 (+.f64 n n) (.f64 m 1/2)) K) M)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 (.f64 (+.f64 (+.f64 n n) (.f64 m 1/2)) K) M)) (.f64 (cos.f64 (-.f64 (.f64 (+.f64 (+.f64 n n) (.f64 m 1/2)) K) M)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (-.f64 (.f64 (+.f64 (+.f64 n n) (.f64 m 1/2)) K) M)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 (-.f64 (.f64 (+.f64 (+.f64 n n) (.f64 m 1/2)) K) M))) (.f64 2 (cos.f64 (-.f64 (.f64 (+.f64 (+.f64 n n) (.f64 m 1/2)) K) M))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 (-.f64 (.f64 (+.f64 (+.f64 n n) (.f64 m 1/2)) K) M)) 0) (cos.f64 (-.f64 (.f64 (+.f64 (+.f64 n n) (.f64 m 1/2)) K) M)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (cos.f64 (-.f64 (.f64 (+.f64 (+.f64 n n) (.f64 m 1/2)) K) M))) (neg.f64 (cos.f64 (-.f64 (.f64 (+.f64 (+.f64 n n) (.f64 m 1/2)) K) M))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (-.f64 (.f64 (+.f64 (+.f64 n n) (.f64 m 1/2)) K) M)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (-.f64 (.f64 (+.f64 (+.f64 n n) (.f64 m 1/2)) K) M)) (.f64 (cos.f64 (-.f64 (.f64 (+.f64 (+.f64 n n) (.f64 m 1/2)) K) M)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (cos.f64 (-.f64 (.f64 (+.f64 (+.f64 n n) (.f64 m 1/2)) K) M))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 2 (cos.f64 (-.f64 (.f64 (+.f64 (+.f64 n n) (.f64 m 1/2)) K) M))) (cos.f64 (-.f64 (.f64 (+.f64 (+.f64 n n) (.f64 m 1/2)) K) M)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (.f64 2 (cos.f64 (-.f64 (.f64 (+.f64 (+.f64 n n) (.f64 m 1/2)) K) M))) 2) (.f64 (cos.f64 (-.f64 (.f64 (+.f64 (+.f64 n n) (.f64 m 1/2)) K) M)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (-.f64 (.f64 (+.f64 (+.f64 n n) (.f64 m 1/2)) K) M)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (-.f64 (.f64 (+.f64 (+.f64 n n) (.f64 m 1/2)) K) M)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (cos.f64 (-.f64 (.f64 (+.f64 (+.f64 n n) (.f64 m 1/2)) K) M))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (cos.f64 (-.f64 (.f64 (+.f64 (+.f64 n n) (.f64 m 1/2)) K) M))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cos.f64 (-.f64 (.f64 (+.f64 (+.f64 n n) (.f64 m 1/2)) K) M))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/2 (+.f64 (neg.f64 (cos.f64 (-.f64 (.f64 (+.f64 (+.f64 n n) (.f64 m 1/2)) K) M))) (neg.f64 (cos.f64 (-.f64 (.f64 (+.f64 (+.f64 n n) (.f64 m 1/2)) K) M)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (cos.f64 (-.f64 (.f64 (+.f64 (+.f64 n n) (.f64 m 1/2)) K) M))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (neg.f64 (cos.f64 (-.f64 (.f64 (+.f64 (+.f64 n n) (.f64 m 1/2)) K) M))) (neg.f64 (cos.f64 (-.f64 (.f64 (+.f64 (+.f64 n n) (.f64 m 1/2)) K) M)))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (cos.f64 (-.f64 (.f64 (+.f64 (+.f64 n n) (.f64 m 1/2)) K) M))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (-.f64 (.f64 (+.f64 (+.f64 n n) (.f64 m 1/2)) K) M)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cos.f64 (-.f64 (.f64 (+.f64 (+.f64 n n) (.f64 m 1/2)) K) M))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (cos.f64 (-.f64 (.f64 (+.f64 (+.f64 n n) (*.f64 m 1/2)) K) M))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 n m) (.f64 1/2 (+.f64 (+.f64 (+.f64 n n) (.f64 m 1/2)) (.f64 m -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (+.f64 n m)) (.f64 m -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (+.f64 n m)) (-.f64 (.f64 2 (+.f64 n m)) (+.f64 (+.f64 n n) (.f64 m 7/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (+.f64 n m)) (-.f64 (+.f64 (+.f64 (+.f64 n n) (.f64 m 1/2)) (.f64 m -3/2)) (+.f64 (+.f64 n n) (.f64 m 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (+.f64 n m)) (.f64 1/2 (-.f64 (+.f64 (+.f64 n n) (.f64 m 1/2)) (+.f64 (+.f64 n n) (.f64 m 7/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (+.f64 n m)) (/.f64 -1 (/.f64 2/3 m)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 n n) (.f64 m 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 n n) (.f64 m 1/2)) (.f64 (+.f64 (+.f64 n n) (.f64 m 1/2)) 0))))) (#(struct:change #<rule 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (+.f64 n n) (.f64 m 1/2)) K) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (+.f64 n n) (.f64 m 1/2)) K) (-.f64 K K))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (+.f64 n n) (.f64 m 1/2)) K) (.f64 (+.f64 (+.f64 n n) (.f64 m 1/2)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (+.f64 n n) (.f64 m 1/2)) K) (neg.f64 (-.f64 K K)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (+.f64 n n) (.f64 m 1/2)) K) (neg.f64 (.f64 (+.f64 (+.f64 n n) (.f64 m 1/2)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (+.f64 n n) (.f64 m 1/2)) K) (.f64 (+.f64 (+.f64 n n) (.f64 m 1/2)) (-.f64 K K)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (+.f64 n n) (.f64 m 1/2)) K) (-.f64 (-.f64 K K) (-.f64 K K)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (+.f64 n n) (.f64 m 1/2)) K) (.f64 0 (-.f64 (+.f64 (+.f64 n n) (.f64 m 1/2)) 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simplify211.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1452×	`rational.json-simplify-24`
844×	`rational.json-simplify-2`
746×	`rational.json-simplify-1`
716×	`rational.json-simplify-5`
526×	`rational.json-simplify-42`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	803	27015
1	2542	25127

Stop Event

1×	node limit

Counts

463 → 612

Calls

Call 1

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

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

eval665.0ms (4.3%)

Compiler: Compiled 49329 to 27022 computations (45.2% saved)

prune714.0ms (4.6%)

Pruning

29 alts after pruning (26 fresh and 3 done)

	Pruned	Kept	Total
New	1346	7	1353
Fresh	6	19	25
Picked	1	0	1
Done	2	3	5
Total	1355	29	1384

Error

2.0b

Counts

1384 → 29

Alt Table

Click to see full alt table

Status	Error	Program
	39.5b	(/.f64 (exp.f64 (neg.f64 l)) (/.f64 1 (cos.f64 (neg.f64 M))))
	39.5b	(/.f64 (cos.f64 (neg.f64 M)) (/.f64 1 (exp.f64 (neg.f64 l))))
	58.4b	(+.f64 (cos.f64 (neg.f64 M)) (*.f64 (cos.f64 (neg.f64 M)) (neg.f64 l)))
	49.5b	(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (cos.f64 (.f64 K (-.f64 (.f64 2 (+.f64 n m)) (.f64 3/2 m)))))
	32.4b	(.f64 (cos.f64 (-.f64 (/.f64 (-.f64 (.f64 2 (+.f64 n m)) (*.f64 n 3/2)) (/.f64 1 K)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
	32.3b	(.f64 (cos.f64 (-.f64 (/.f64 (+.f64 (+.f64 n m) (.f64 -3/2 m)) (/.f64 -1 K)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
	30.1b	(.f64 (cos.f64 (-.f64 (/.f64 (+.f64 (.f64 -3/2 n) n) (/.f64 -1 K)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
	32.3b	(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
	14.4b	(.f64 (cos.f64 (-.f64 (-.f64 (/.f64 (.f64 K 25) (/.f64 2 (+.f64 m n))) (/.f64 (*.f64 K 24) (/.f64 2 (+.f64 m n)))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	32.2b	(.f64 (cos.f64 (-.f64 (-.f64 (.f64 (.f64 (+.f64 n m) 8) K) (.f64 K (*.f64 (+.f64 n m) 15/2))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
	32.3b	(.f64 (cos.f64 (-.f64 (-.f64 (.f64 (.f64 (+.f64 n m) 3/2) K) (.f64 (+.f64 n m) K)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
	32.2b	(.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (+.f64 (*.f64 3/2 K) (neg.f64 K))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
	32.2b	(.f64 (cos.f64 (-.f64 (.f64 (.f64 (+.f64 m n) -1/4) (-.f64 (.f64 K 24) (+.f64 K (*.f64 K 25)))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
	14.1b	(.f64 (cos.f64 (-.f64 (.f64 (.f64 (+.f64 m n) -1/4) (+.f64 (.f64 K 96) (neg.f64 (*.f64 K 98)))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
	30.0b	(.f64 (cos.f64 (-.f64 (.f64 (*.f64 K n) 1/2) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
	32.2b	(.f64 (cos.f64 (-.f64 (.f64 (neg.f64 (+.f64 n m)) (+.f64 K (/.f64 3/2 (/.f64 -1 K)))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
	32.3b	(.f64 (cos.f64 (-.f64 (.f64 K (-.f64 (neg.f64 (.f64 m 3)) (neg.f64 (+.f64 (+.f64 n n) (.f64 m 7/2))))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
	30.1b	(.f64 (cos.f64 (-.f64 (.f64 K (+.f64 (neg.f64 n) (*.f64 n 3/2))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
	48.9b	(.f64 (cos.f64 (-.f64 (.f64 K (*.f64 m 1/2)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))
	42.9b	(.f64 (cos.f64 (-.f64 (.f64 K (*.f64 m 1/2)) M)) (exp.f64 (neg.f64 l)))
	30.2b	(.f64 (cos.f64 (-.f64 (.f64 K (*.f64 2 n)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
	49.5b	(.f64 (cos.f64 (.f64 K (+.f64 (.f64 2 n) (.f64 m 1/2)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)))
	34.6b	(.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 (pow.f64 m 2) 1/4))))
	29.8b	(.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1/4 (pow.f64 n 2))))
✓	28.3b	(.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1/4 (pow.f64 m 2))))
	25.7b	(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 (pow.f64 M 2))))
✓	39.5b	(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l)))
	39.5b	(exp.f64 (neg.f64 l))
✓	58.1b	(cos.f64 (neg.f64 M))

Compiler

Compiled 711 to 517 computations (27.3% saved)

regimes343.0ms (2.2%)

Counts

71 → 1

Calls

Call 1

Inputs
(cos.f64 (neg.f64 M))
(exp.f64 (neg.f64 l))
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l)))
(/.f64 (cos.f64 (neg.f64 M)) (/.f64 1 (exp.f64 (neg.f64 l))))
(/.f64 (exp.f64 (neg.f64 l)) (/.f64 1 (cos.f64 (neg.f64 M))))
(+.f64 (cos.f64 (neg.f64 M)) (*.f64 (cos.f64 (neg.f64 M)) (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (.f64 K (*.f64 m 1/2)) M)) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 (pow.f64 M 2))))
(.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1/4 (pow.f64 m 2))))
(.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1/4 (pow.f64 n 2))))
(.f64 (cos.f64 (-.f64 (.f64 K (*.f64 m 1/2)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) l)))
(.f64 (cos.f64 (.f64 K (+.f64 (.f64 2 n) (.f64 m 1/2)))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)))
(.f64 (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) l)) (cos.f64 (.f64 K (-.f64 (.f64 2 (+.f64 n m)) (.f64 3/2 m)))))
(.f64 (cos.f64 (.f64 (+.f64 n m) (*.f64 K 1/2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
(.f64 (cos.f64 (-.f64 (.f64 K (*.f64 2 n)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
(.f64 (cos.f64 (-.f64 (.f64 K (*.f64 m 1/2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
(.f64 (cos.f64 (-.f64 (.f64 K (*.f64 n 1/2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
(.f64 (cos.f64 (-.f64 (.f64 (*.f64 K n) 1/2) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 n m)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 (pow.f64 m 2) 1/4))))
(.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 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
(.f64 (cos.f64 (-.f64 (.f64 K (+.f64 (neg.f64 n) (*.f64 n 3/2))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
(.f64 (cos.f64 (-.f64 (.f64 K (/.f64 (+.f64 m n) 2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (*.f64 (pow.f64 m 2) 1/4))))
(*.f64 (cos.f64 (-.f64 (/.f64 1/2 (/.f64 (/.f64 1 K) (+.f64 m n))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
(.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (.f64 (pow.f64 m 2) 1/4))))
(.f64 (cos.f64 (-.f64 (/.f64 (+.f64 (.f64 -3/2 n) n) (/.f64 -1 K)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
(.f64 (cos.f64 (-.f64 (.f64 (+.f64 n m) (+.f64 (*.f64 3/2 K) (neg.f64 K))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
(.f64 (cos.f64 (-.f64 (.f64 K (*.f64 m 1/2)) 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 K (*.f64 n 1/2)) 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 (+.f64 n m) (.f64 -3/2 m)) (/.f64 -1 K)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
(.f64 (cos.f64 (-.f64 (.f64 (neg.f64 (+.f64 n m)) (+.f64 K (/.f64 3/2 (/.f64 -1 K)))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
(.f64 (cos.f64 (-.f64 (.f64 -1/2 (.f64 (+.f64 m n) (-.f64 (.f64 K 3) (*.f64 K 4)))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 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 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(.f64 (cos.f64 (-.f64 (-.f64 (.f64 (.f64 (+.f64 n m) 3/2) K) (.f64 (+.f64 n m) K)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) 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 (+.f64 n m) (.f64 (+.f64 n m) -3/2)) (/.f64 -1 K)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (-.f64 (.f64 2 (+.f64 n m)) (*.f64 m 3/2)) (/.f64 1 K)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (-.f64 (.f64 2 (+.f64 n m)) (*.f64 n 3/2)) (/.f64 1 K)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(*.f64 (cos.f64 (-.f64 (/.f64 (-.f64 K (+.f64 K (+.f64 K K))) (neg.f64 (/.f64 4 (+.f64 m n)))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
(.f64 (cos.f64 (-.f64 (.f64 K (+.f64 (*.f64 (+.f64 n m) 3/2) (/.f64 1 (/.f64 -1 (+.f64 n m))))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
(.f64 (cos.f64 (-.f64 (.f64 K (-.f64 (neg.f64 (.f64 m 3)) (neg.f64 (+.f64 (+.f64 n n) (.f64 m 7/2))))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
(.f64 (cos.f64 (-.f64 (.f64 (.f64 (+.f64 m n) -1/4) (-.f64 (.f64 K 24) (+.f64 K (*.f64 K 25)))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
(.f64 (cos.f64 (-.f64 (-.f64 (.f64 (.f64 (+.f64 n m) 8) K) (.f64 K (*.f64 (+.f64 n m) 15/2))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
(.f64 (cos.f64 (-.f64 (-.f64 (/.f64 (+.f64 m (+.f64 n n)) (/.f64 2 K)) (.f64 K (*.f64 n 1/2))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
(*.f64 (cos.f64 (-.f64 (/.f64 1/2 (/.f64 (/.f64 1 K) (+.f64 m n))) 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 (+.f64 m n) -1/2)) (/.f64 (.f64 (+.f64 m n) 2) (/.f64 -2 K))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
(.f64 (cos.f64 (-.f64 (-.f64 (/.f64 (+.f64 n m) (/.f64 2/3 K)) (.f64 K (+.f64 n m))) 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 (+.f64 n m) (.f64 (+.f64 n m) -3/2)) (/.f64 -1 K)) 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 (.f64 2 (+.f64 n m)) (+.f64 (+.f64 n m) (*.f64 1/2 (+.f64 n m)))) (/.f64 1 K)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (-.f64 (.f64 K 36) (*.f64 K 37)) (/.f64 -2 (+.f64 n m))) 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 (+.f64 K (+.f64 K K)) (+.f64 (+.f64 K K) (+.f64 K K))) (/.f64 -2 (+.f64 m n))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
(.f64 (cos.f64 (-.f64 (.f64 (.f64 (+.f64 m n) -1/4) (+.f64 (.f64 K 96) (neg.f64 (*.f64 K 98)))) 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 K (+.f64 K K))) (neg.f64 (/.f64 4 (+.f64 m n)))) 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 (+.f64 m n) -1/4) (-.f64 (.f64 K 24) (+.f64 K (*.f64 K 25)))) 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 (+.f64 m (+.f64 n n)) (/.f64 2 K)) (.f64 K (*.f64 n 1/2))) 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 (+.f64 m n) -1/2)) (/.f64 (.f64 (+.f64 m n) 2) (/.f64 -2 K))) 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 (.f64 K 3) (/.f64 2 (+.f64 m n))) (*.f64 (neg.f64 K) (neg.f64 (+.f64 m n)))) 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 (.f64 K 48) (+.f64 (.f64 K 13) (.f64 K 36))) (/.f64 -2 (+.f64 n m))) 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 (+.f64 m n) 2)) (/.f64 (+.f64 K (+.f64 K K)) (/.f64 2 (+.f64 m n)))) 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 (.f64 K 25) (/.f64 2 (+.f64 m n))) (/.f64 (*.f64 K 24) (/.f64 2 (+.f64 m n)))) 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 (.f64 2 (.f64 K 6)) (+.f64 K (.f64 2 (*.f64 K 6)))) (/.f64 -2 (+.f64 m n))) 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 (.f64 2 (+.f64 n m)) (+.f64 (+.f64 n m) (*.f64 1/2 (+.f64 n m)))) (/.f64 1 K)) 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 (+.f64 K (+.f64 K K)) (+.f64 (+.f64 K K) (+.f64 K K))) (/.f64 -2 (+.f64 m n))) 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 (+.f64 n m) (neg.f64 (.f64 K 3))) (.f64 (+.f64 K (.f64 K 6)) (.f64 1/2 (+.f64 n m)))) 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 M (-.f64 (.f64 (+.f64 (+.f64 n m) (.f64 1/2 (+.f64 n m))) K) (+.f64 M (+.f64 M (.f64 (*.f64 K 1/4) (/.f64 (+.f64 n m) 1/4))))))) (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 (+.f64 K (.f64 (+.f64 K K) 3)) (/.f64 2 (+.f64 m n))) (/.f64 (*.f64 (+.f64 K K) 3) (/.f64 2 (+.f64 m n)))) 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 (.f64 (+.f64 m n) -1/2) (.f64 (.f64 (+.f64 K K) 3) 2)) (.f64 (.f64 (+.f64 m n) -1/2) (+.f64 K (.f64 (*.f64 (+.f64 K K) 3) 2)))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(.f64 (+.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (.f64 K m)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2))))
(.f64 (+.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (.f64 K 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 (neg.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:

85.0ms	M
64.0ms	n
54.0ms	K
33.0ms	m
31.0ms	l

Results

Error	Segments	Branch
2.7b	1	`K`
2.7b	1	`m`
2.7b	1	`n`
2.7b	1	`M`
2.7b	1	`l`
2.7b	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 1992 to 997 computations (49.9% saved)

regimes323.0ms (2.1%)

Counts

18 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

128.0ms	K
65.0ms	l
42.0ms	M
26.0ms	n
26.0ms	m

Results

Error	Segments	Branch
18.5b	9	`K`
7.0b	3	`m`
8.7b	3	`n`
10.2b	5	`M`
14.1b	6	`l`

Compiler

Compiled 271 to 146 computations (46.1% saved)

bsearch79.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
59.0ms	1.9758401679432925e-307	2.6309309335557963e-306
19.0ms	-250722918090967.16	-42961108990233.984

Results

35.0ms	189×	body	256	valid
2.0ms	3×	body	1024	valid
1.0ms	4×	body	256	infinite
1.0ms	2×	body	512	infinite

Compiler

Compiled 546 to 426 computations (22% saved)

regimes309.0ms (2%)

Counts

15 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

90.0ms	l
88.0ms	K
63.0ms	m
39.0ms	M
22.0ms	n

Results

Error	Segments	Branch
18.6b	9	`K`
7.4b	3	`m`
8.8b	3	`n`
10.2b	5	`M`
14.1b	6	`l`

Compiler

Compiled 211 to 116 computations (45% saved)

bsearch46.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	1.9758401679432925e-307	2.6309309335557963e-306
21.0ms	-250722918090967.16	-42961108990233.984

Results

40.0ms	190×	body	256	valid
1.0ms	2×	body	1024	valid
1.0ms	5×	body	256	infinite
1.0ms	2×	body	512	infinite

Compiler

Compiled 546 to 426 computations (22% saved)

regimes297.0ms (1.9%)

Counts

14 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

104.0ms	K
82.0ms	l
47.0ms	M
35.0ms	m
25.0ms	n

Results

Error	Segments	Branch
18.6b	9	`K`
7.4b	3	`m`
9.1b	3	`n`
10.2b	5	`M`
14.1b	6	`l`

Compiler

Compiled 191 to 106 computations (44.5% saved)

bsearch44.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	1.9758401679432925e-307	2.6309309335557963e-306
22.0ms	-250722918090967.16	-42961108990233.984

Results

38.0ms	188×	body	256	valid
2.0ms	3×	body	1024	valid
1.0ms	5×	body	256	infinite
0.0ms	1×	body	512	valid

Compiler

Compiled 546 to 426 computations (22% saved)

regimes211.0ms (1.4%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

5 calls:

58.0ms	K
46.0ms	l
43.0ms	M
33.0ms	m
25.0ms	n

Results

Error	Segments	Branch
20.1b	7	`K`
9.0b	3	`m`
9.7b	3	`n`
10.2b	5	`M`
14.1b	6	`l`

Compiler

Compiled 171 to 97 computations (43.3% saved)

bsearch73.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
38.0ms	-1.3644032372263622e-298	1.9758401679432925e-307
35.0ms	-27054774289.14106	-359.2454240038836

Results

59.0ms	298×	body	256	valid
2.0ms	4×	body	1024	valid
1.0ms	7×	body	256	infinite
1.0ms	3×	body	512	infinite
1.0ms	2×	body	512	valid

Compiler

Compiled 631 to 543 computations (13.9% saved)

regimes121.0ms (0.8%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

5 calls:

36.0ms	l
26.0ms	n
20.0ms	M
19.0ms	K
18.0ms	m

Results

Error	Segments	Branch
24.4b	3	`K`
12.4b	3	`m`
22.5b	2	`n`
12.4b	3	`M`
14.1b	6	`l`

Compiler

Compiled 107 to 60 computations (43.9% saved)

bsearch72.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
40.0ms	1.7934711601428768e-12	175.6978275332118
32.0ms	-5492981.198384968	-1721.4785263246501

Results

59.0ms	281×	body	256	valid
4.0ms	5×	body	1024	valid
2.0ms	3×	body	1024	infinite
2.0ms	9×	body	256	infinite
1.0ms	2×	body	512	valid

Compiler

Compiled 600 to 516 computations (14% saved)

regimes50.0ms (0.3%)

Counts

8 → 2

Calls

Call 1

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

Outputs
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 (pow.f64 M 2))))
(exp.f64 (neg.f64 l))

Calls

5 calls:

18.0ms	M
12.0ms	l
7.0ms	m
6.0ms	n
5.0ms	K

Results

Error	Segments	Branch
25.7b	1	`K`
25.7b	1	`m`
25.7b	1	`n`
17.3b	3	`M`
17.2b	2	`l`

Compiler

Compiled 97 to 54 computations (44.3% saved)

bsearch24.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
24.0ms	5.445211469621903e-7	3.5123769635721348e-6

Results

20.0ms	90×	body	256	valid
2.0ms	4×	body	1024	valid
1.0ms	2×	body	512	valid

Compiler

Compiled 186 to 156 computations (16.1% saved)

regimes53.0ms (0.3%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

5 calls:

27.0ms	n
7.0ms	K
6.0ms	l
5.0ms	m
5.0ms	M

Results

Error	Segments	Branch
39.5b	1	`K`
39.5b	1	`m`
39.5b	1	`n`
39.5b	1	`M`
39.5b	1	`l`

Compiler

Compiled 88 to 49 computations (44.3% saved)

regimes20.0ms (0.1%)

Accuracy

Total -18.9b remaining (-47.8%)

Threshold costs -18.9b (-47.8%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	M
4.0ms	K
3.0ms	n
3.0ms	m
3.0ms	l

Results

Error	Segments	Branch
39.5b	1	`K`
39.5b	1	`m`
39.5b	1	`n`
39.5b	1	`M`
39.5b	1	`l`

Compiler

Compiled 41 to 34 computations (17.1% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	792

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (cos.f64 (neg.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 -44000000000000) (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1/4 (pow.f64 m 2)))) (if (<=.f64 m 3320661968323065/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856) (.f64 (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2)))) (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (*.f64 -1/4 (pow.f64 n 2))))))
(if (<=.f64 m -44000000000000) (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1/4 (pow.f64 m 2)))) (if (<=.f64 m 6325070415853457/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856) (.f64 (cos.f64 (-.f64 (.f64 K (.f64 2 n)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2)))) (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (*.f64 -1/4 (pow.f64 n 2))))))
(if (<=.f64 m -44000000000000) (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1/4 (pow.f64 m 2)))) (if (<=.f64 m 7115704217835139/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856) (.f64 (cos.f64 (.f64 (+.f64 n m) (.f64 K 1/2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2)))) (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (*.f64 -1/4 (pow.f64 n 2))))))
(if (<=.f64 m -360) (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1/4 (pow.f64 m 2)))) (if (<=.f64 m -7600392078376155/24128228820241763395368498172630942708201009006994023127186460259846489377974909173483894312553062974832901700057603348659254161999916252716423678391067804088773420366831584139402736156236316721587153396424382337160349784305655085875761908966202683012582070411724897569696118189719975296519556940632582457459891765248) (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 (pow.f64 M 2)))) (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (*.f64 -1/4 (pow.f64 n 2))))))
(if (<=.f64 M -1750) (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 (pow.f64 M 2)))) (if (<=.f64 M 7926335344172073/144115188075855872) (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1/4 (pow.f64 m 2)))) (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 (pow.f64 M 2))))))
(if (<=.f64 l 8264141345021879/2361183241434822606848) (*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 (pow.f64 M 2)))) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l)))
(exp.f64 (neg.f64 l))
(cos.f64 (neg.f64 M))

Outputs
(*.f64 (cos.f64 (neg.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 -44000000000000) (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1/4 (pow.f64 m 2)))) (if (<=.f64 m 3320661968323065/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856) (.f64 (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2)))) (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (*.f64 -1/4 (pow.f64 n 2))))))
(if (<=.f64 m -44000000000000) (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1/4 (pow.f64 m 2)))) (if (<=.f64 m 6325070415853457/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856) (.f64 (cos.f64 (-.f64 (.f64 K (.f64 2 n)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2)))) (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (*.f64 -1/4 (pow.f64 n 2))))))
(if (<=.f64 m -44000000000000) (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1/4 (pow.f64 m 2)))) (if (<=.f64 m 7115704217835139/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856) (.f64 (cos.f64 (.f64 (+.f64 n m) (.f64 K 1/2))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 M 2)))) (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (*.f64 -1/4 (pow.f64 n 2))))))
(if (<=.f64 m -360) (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1/4 (pow.f64 m 2)))) (if (<=.f64 m -7600392078376155/24128228820241763395368498172630942708201009006994023127186460259846489377974909173483894312553062974832901700057603348659254161999916252716423678391067804088773420366831584139402736156236316721587153396424382337160349784305655085875761908966202683012582070411724897569696118189719975296519556940632582457459891765248) (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 (pow.f64 M 2)))) (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (*.f64 -1/4 (pow.f64 n 2))))))
(if (<=.f64 M -1750) (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 (pow.f64 M 2)))) (if (<=.f64 M 7926335344172073/144115188075855872) (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (.f64 -1/4 (pow.f64 m 2)))) (.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 (pow.f64 M 2))))))
(if (<=.f64 l 8264141345021879/2361183241434822606848) (*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 (pow.f64 M 2)))) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (neg.f64 l)))
(exp.f64 (neg.f64 l))
(cos.f64 (neg.f64 M))

Compiler

Compiled 317 to 233 computations (26.5% saved)

soundness66.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1400×	`rational.json-simplify-63`
912×	`rational.json-simplify-69`
906×	`rational.json-simplify-24`
634×	`rational.json-simplify-72`
628×	`rational.json-simplify-28`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	89
1	66	89
2	163	89
3	538	85
4	2537	85
5	5975	85

Stop Event

1×	node limit

Compiler

Compiled 210 to 111 computations (47.1% saved)

end133.0ms (0.9%)

Remove: (sort m n)
Compiler: Compiled 324 to 197 computations (39.2% saved)